diff --git "a/trees/auto_problem_091_tree.json" "b/trees/auto_problem_091_tree.json" new file mode 100644--- /dev/null +++ "b/trees/auto_problem_091_tree.json" @@ -0,0 +1,112378 @@ +{ + "problem_id": "auto_problem_091", + "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 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: 250.39 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": 3439, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 150.57 kg\n Factor of Safety: 0.87\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": 150.5685221944721, + "fos_buckling": 0.8669758962860347, + "fos_yielding": 4.284964583105404, + "deflection": 0.011438338198455363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1": { + "node_id": "node_1", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 181.15 kg\n Factor of Safety: 1.01\n Max Deflection: 9.54e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.14983129123178, + "fos_buckling": 1.0070022548278874, + "fos_yielding": 5.145235754264055, + "deflection": 0.009542730023604973, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_0", + "improvement_over_parent": null + }, + "node_2": { + "node_id": "node_2", + "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 185.93 kg\n Factor of Safety: 1.01\n Max Deflection: 9.39e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.9317322738396, + "fos_buckling": 1.0063706573454652, + "fos_yielding": 5.145235754264055, + "deflection": 0.009386707592455926, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.227)" + }, + "parent_node_id": "node_1", + "improvement_over_parent": null + }, + "node_3": { + "node_id": "node_3", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 211.05 kg\n Factor of Safety: 1.12\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": 211.05102725134054, + "fos_buckling": 1.118846223692289, + "fos_yielding": 4.6079377089068325, + "deflection": 0.007666798873399633, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_2", + "improvement_over_parent": null + }, + "node_4": { + "node_id": "node_4", + "content": "MODIFICATION: Increase 8 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 215.67 kg\n Factor of Safety: 1.16\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": 215.67402393009564, + "fos_buckling": 1.1617268016012199, + "fos_yielding": 4.608694604886368, + "deflection": 0.007519527386589448, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.242)" + }, + "parent_node_id": "node_3", + "improvement_over_parent": null + }, + "node_5": { + "node_id": "node_5", + "content": "MODIFICATION: Increase 7 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6059232223012, + "fos_buckling": 1.525981890057245, + "fos_yielding": 4.604107408829038, + "deflection": 0.006969645920695528, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.639)" + }, + "parent_node_id": "node_4", + "improvement_over_parent": null + }, + "node_6": { + "node_id": "node_6", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_5", + "improvement_over_parent": null + }, + "node_7": { + "node_id": "node_7", + "content": "INITIAL DESIGN (Trace 1)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n Mass: 109.77 kg\n Factor of Safety: 0.45\n Max Deflection: 2.04e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 109.77333912443018, + "fos_buckling": 0.4547521198267717, + "fos_yielding": 2.381140551650436, + "deflection": 0.02035582281855583, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_8": { + "node_id": "node_8", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 132.80 kg\n Factor of Safety: 0.53\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.79559756961356, + "fos_buckling": 0.5345219422550763, + "fos_yielding": 2.8819103330103824, + "deflection": 0.016873929846870746, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_7", + "improvement_over_parent": null + }, + "node_9": { + "node_id": "node_9", + "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 136.93 kg\n Factor of Safety: 0.53\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.93112679069452, + "fos_buckling": 0.5342301997617344, + "fos_yielding": 2.881412307500585, + "deflection": 0.01688205510181221, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.232)" + }, + "parent_node_id": "node_8", + "improvement_over_parent": null + }, + "node_10": { + "node_id": "node_10", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n Mass: 157.94 kg\n Factor of Safety: 0.53\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.9379758196427, + "fos_buckling": 0.5327531673913587, + "fos_yielding": 2.878885190841639, + "deflection": 0.014690048604726719, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005865)" + }, + "parent_node_id": "node_9", + "improvement_over_parent": null + }, + "node_11": { + "node_id": "node_11", + "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n Mass: 158.65 kg\n Factor of Safety: 0.53\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.64592712145935, + "fos_buckling": 0.5327531673913586, + "fos_yielding": 3.570241104734565, + "deflection": 0.014449970583540637, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.259)" + }, + "parent_node_id": "node_10", + "improvement_over_parent": null + }, + "node_12": { + "node_id": "node_12", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 189.79 kg\n Factor of Safety: 0.62\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.78676429884575, + "fos_buckling": 0.6163556192773927, + "fos_yielding": 4.260827908913523, + "deflection": 0.012122273495723994, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_11", + "improvement_over_parent": null + }, + "node_13": { + "node_id": "node_13", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 222.18 kg\n Factor of Safety: 1.37\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.18038393896404, + "fos_buckling": 1.3683221572647382, + "fos_yielding": 4.56660788223217, + "deflection": 0.007176088790014024, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_12", + "improvement_over_parent": null + }, + "node_14": { + "node_id": "node_14", + "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0098)]\n\nPerformance:\n Mass: 228.43 kg\n Factor of Safety: 1.37\n Max Deflection: 7.00e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.4321079095325, + "fos_buckling": 1.3691288202225824, + "fos_yielding": 4.564996797939596, + "deflection": 0.00699908829665132, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.217)" + }, + "parent_node_id": "node_13", + "improvement_over_parent": null + }, + "node_15": { + "node_id": "node_15", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_14", + "improvement_over_parent": null + }, + "node_16": { + "node_id": "node_16", + "content": "INITIAL DESIGN (Trace 2)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n Mass: 120.25 kg\n Factor of Safety: 0.42\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.24714774485099, + "fos_buckling": 0.4165073962973045, + "fos_yielding": 2.6865315795015645, + "deflection": 0.018916692762480536, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_17": { + "node_id": "node_17", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 151.56 kg\n Factor of Safety: 0.51\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.5550082907141, + "fos_buckling": 0.5083128228950702, + "fos_yielding": 3.3784362495495626, + "deflection": 0.015064553228623866, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_16", + "improvement_over_parent": null + }, + "node_18": { + "node_id": "node_18", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n\nPerformance:\n Mass: 177.15 kg\n Factor of Safety: 1.23\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": 177.153407239026, + "fos_buckling": 1.2307054296742674, + "fos_yielding": 3.663945298869287, + "deflection": 0.008863014353681605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006266)" + }, + "parent_node_id": "node_17", + "improvement_over_parent": null + }, + "node_19": { + "node_id": "node_19", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 224.34 kg\n Factor of Safety: 1.49\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.34016063349324, + "fos_buckling": 1.493882238379766, + "fos_yielding": 4.630844238383738, + "deflection": 0.00703672940524424, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_18", + "improvement_over_parent": null + }, + "node_20": { + "node_id": "node_20", + "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0096)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 229.55 kg\n Factor of Safety: 1.53\n Max Deflection: 6.88e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 229.55403077632565, + "fos_buckling": 1.5310977136939927, + "fos_yielding": 4.657767655226122, + "deflection": 0.006876653712149551, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.178)" + }, + "parent_node_id": "node_19", + "improvement_over_parent": null + }, + "node_21": { + "node_id": "node_21", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_20", + "improvement_over_parent": null + }, + "node_22": { + "node_id": "node_22", + "content": "INITIAL DESIGN (Trace 3)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0027)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n\nPerformance:\n Mass: 107.24 kg\n Factor of Safety: 0.37\n Max Deflection: 2.13e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.24448749302925, + "fos_buckling": 0.36630907264904516, + "fos_yielding": 2.1939752684688116, + "deflection": 0.021344388818417093, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_23": { + "node_id": "node_23", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n\nPerformance:\n Mass: 128.70 kg\n Factor of Safety: 0.43\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.70177612117567, + "fos_buckling": 0.42998316456744595, + "fos_yielding": 2.629492499597442, + "deflection": 0.017830989531839484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_22", + "improvement_over_parent": null + }, + "node_24": { + "node_id": "node_24", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 146.51 kg\n Factor of Safety: 0.48\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.50774190643224, + "fos_buckling": 0.4804366014903758, + "fos_yielding": 2.990009055259956, + "deflection": 0.015696883159804605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_23", + "improvement_over_parent": null + }, + "node_25": { + "node_id": "node_25", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 171.90 kg\n Factor of Safety: 1.16\n Max Deflection: 9.13e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.90314736253305, + "fos_buckling": 1.1557974580493124, + "fos_yielding": 3.571533286484133, + "deflection": 0.009133335723100598, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006171)" + }, + "parent_node_id": "node_24", + "improvement_over_parent": null + }, + "node_26": { + "node_id": "node_26", + "content": "MODIFICATION: Increase 2 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 176.31 kg\n Factor of Safety: 1.24\n Max Deflection: 8.95e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.31240736822227, + "fos_buckling": 1.237311243186696, + "fos_yielding": 3.572445173640075, + "deflection": 0.008945490972431084, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.372)" + }, + "parent_node_id": "node_25", + "improvement_over_parent": null + }, + "node_27": { + "node_id": "node_27", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.55 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.55496313779344, + "fos_buckling": 1.5258438653430255, + "fos_yielding": 4.602727247337608, + "deflection": 0.0069711545662987295, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_26", + "improvement_over_parent": null + }, + "node_28": { + "node_id": "node_28", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_27", + "improvement_over_parent": null + }, + "node_29": { + "node_id": "node_29", + "content": "INITIAL DESIGN (Trace 4)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n Mass: 176.68 kg\n Factor of Safety: 0.98\n Max Deflection: 9.99e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.67957807955915, + "fos_buckling": 0.9839597415934149, + "fos_yielding": 2.9214922215769104, + "deflection": 0.009993751791397035, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 202.30 kg\n Factor of Safety: 1.02\n Max Deflection: 8.14e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.29610698885375, + "fos_buckling": 1.0236228463870036, + "fos_yielding": 2.928809079344872, + "deflection": 0.008136763916454565, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_29", + "improvement_over_parent": null + }, + "node_31": { + "node_id": "node_31", + "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 209.27 kg\n Factor of Safety: 1.13\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": 209.27098970689738, + "fos_buckling": 1.1325508277157987, + "fos_yielding": 2.9639937830698018, + "deflection": 0.007672534711525011, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.337)" + }, + "parent_node_id": "node_30", + "improvement_over_parent": null + }, + "node_32": { + "node_id": "node_32", + "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0092)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 216.51 kg\n Factor of Safety: 1.14\n Max Deflection: 7.35e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.51362976000124, + "fos_buckling": 1.1420749447857754, + "fos_yielding": 2.988919307906136, + "deflection": 0.007351333225685657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.274)" + }, + "parent_node_id": "node_31", + "improvement_over_parent": null + }, + "node_33": { + "node_id": "node_33", + "content": "MODIFICATION: Increase 10 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0092)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0108)]\n\nPerformance:\n Mass: 227.66 kg\n Factor of Safety: 1.14\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": 227.65911135049407, + "fos_buckling": 1.1422399094746436, + "fos_yielding": 2.9893510362668105, + "deflection": 0.007185819066382962, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.504)" + }, + "parent_node_id": "node_32", + "improvement_over_parent": null + }, + "node_34": { + "node_id": "node_34", + "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0092)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0108)]\n\nPerformance:\n Mass: 229.55 kg\n Factor of Safety: 1.46\n Max Deflection: 7.06e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.54551650661182, + "fos_buckling": 1.4595474347891833, + "fos_yielding": 4.743462767145928, + "deflection": 0.007056584799466617, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.658)" + }, + "parent_node_id": "node_33", + "improvement_over_parent": null + }, + "node_35": { + "node_id": "node_35", + "content": "MODIFICATION: Increase 9 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0119)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0108)]\n\nPerformance:\n Mass: 238.81 kg\n Factor of Safety: 1.54\n Max Deflection: 6.79e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 238.81284404594572, + "fos_buckling": 1.5404693972856838, + "fos_yielding": 4.777429525132432, + "deflection": 0.0067867095555687144, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.292)" + }, + "parent_node_id": "node_34", + "improvement_over_parent": null + }, + "node_36": { + "node_id": "node_36", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_35", + "improvement_over_parent": null + }, + "node_37": { + "node_id": "node_37", + "content": "INITIAL DESIGN (Trace 5)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0041)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0041)]\n\nPerformance:\n Mass: 121.02 kg\n Factor of Safety: 0.89\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": 121.02088795824939, + "fos_buckling": 0.8903750151833781, + "fos_yielding": 2.4567015541789043, + "deflection": 0.012951398810955018, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_38": { + "node_id": "node_38", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n Mass: 143.71 kg\n Factor of Safety: 1.04\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": 143.71162076733077, + "fos_buckling": 1.0371393161852156, + "fos_yielding": 2.9150730023152103, + "deflection": 0.010934591247564145, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_37", + "improvement_over_parent": null + }, + "node_39": { + "node_id": "node_39", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 186.84 kg\n Factor of Safety: 1.30\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": 186.8431902561653, + "fos_buckling": 1.2989168486981697, + "fos_yielding": 3.784422932399488, + "deflection": 0.008451490948229322, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_38", + "improvement_over_parent": null + }, + "node_40": { + "node_id": "node_40", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.85 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.84538292955267, + "fos_buckling": 1.5271210597564748, + "fos_yielding": 4.608500985712611, + "deflection": 0.006962617662671773, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_39", + "improvement_over_parent": null + }, + "node_41": { + "node_id": "node_41", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_40", + "improvement_over_parent": null + }, + "node_42": { + "node_id": "node_42", + "content": "INITIAL DESIGN (Trace 6)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\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_43": { + "node_id": "node_43", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 172.57 kg\n Factor of Safety: 0.98\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.57013847546065, + "fos_buckling": 0.9848186349341777, + "fos_yielding": 5.1437712751673565, + "deflection": 0.011561262301081161, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_42", + "improvement_over_parent": null + }, + "node_44": { + "node_id": "node_44", + "content": "MODIFICATION: Increase 1 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 179.73 kg\n Factor of Safety: 0.98\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": 179.72927116959082, + "fos_buckling": 0.9838930498141798, + "fos_yielding": 5.1437712751673565, + "deflection": 0.01071592906816156, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.372)" + }, + "parent_node_id": "node_43", + "improvement_over_parent": null + }, + "node_45": { + "node_id": "node_45", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 201.39 kg\n Factor of Safety: 0.98\n Max Deflection: 8.84e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.38856744643823, + "fos_buckling": 0.9811033415361573, + "fos_yielding": 4.594365630185066, + "deflection": 0.008839889279065198, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_44", + "improvement_over_parent": null + }, + "node_46": { + "node_id": "node_46", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.01 kg\n Factor of Safety: 1.44\n Max Deflection: 7.06e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.00509635573283, + "fos_buckling": 1.4355470026005173, + "fos_yielding": 4.616706815405636, + "deflection": 0.007062740416423591, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_45", + "improvement_over_parent": null + }, + "node_47": { + "node_id": "node_47", + "content": "MODIFICATION: Increase 5 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0114)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 238.53 kg\n Factor of Safety: 1.51\n Max Deflection: 6.76e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 238.5301904258553, + "fos_buckling": 1.508008604553167, + "fos_yielding": 4.61316429693148, + "deflection": 0.006761190541201825, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.408)" + }, + "parent_node_id": "node_46", + "improvement_over_parent": null + }, + "node_48": { + "node_id": "node_48", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_47", + "improvement_over_parent": null + }, + "node_49": { + "node_id": "node_49", + "content": "INITIAL DESIGN (Trace 7)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 173.59 kg\n Factor of Safety: 1.22\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": 173.5862886198322, + "fos_buckling": 1.223652189583037, + "fos_yielding": 3.7395437818604056, + "deflection": 0.008962499669979923, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_50": { + "node_id": "node_50", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 215.84 kg\n Factor of Safety: 1.46\n Max Deflection: 7.24e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.83556113909168, + "fos_buckling": 1.4626111364301513, + "fos_yielding": 4.638611447344498, + "deflection": 0.007243865924417139, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_49", + "improvement_over_parent": null + }, + "node_51": { + "node_id": "node_51", + "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 222.21 kg\n Factor of Safety: 1.47\n Max Deflection: 7.09e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.21439404642518, + "fos_buckling": 1.4720184058503931, + "fos_yielding": 4.639580033847454, + "deflection": 0.00709140679332542, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.364)" + }, + "parent_node_id": "node_50", + "improvement_over_parent": null + }, + "node_52": { + "node_id": "node_52", + "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.59 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.59137841385115, + "fos_buckling": 1.525795715843822, + "fos_yielding": 4.603307649355975, + "deflection": 0.006970226451887502, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.299)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n Mass: 117.98 kg\n Factor of Safety: 0.65\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.98211672989582, + "fos_buckling": 0.6535673662898012, + "fos_yielding": 2.6838588549257554, + "deflection": 0.014689873576297268, + "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 all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n Mass: 151.54 kg\n Factor of Safety: 0.81\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.54067084213744, + "fos_buckling": 0.8115696535039139, + "fos_yielding": 3.450096572875202, + "deflection": 0.011484467105161801, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_54", + "improvement_over_parent": null + }, + "node_56": { + "node_id": "node_56", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 170.90 kg\n Factor of Safety: 1.15\n Max Deflection: 9.22e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.89746891983984, + "fos_buckling": 1.1487189936355984, + "fos_yielding": 3.465253836852626, + "deflection": 0.009221597144575912, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005371)" + }, + "parent_node_id": "node_55", + "improvement_over_parent": null + }, + "node_57": { + "node_id": "node_57", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 221.77 kg\n Factor of Safety: 1.44\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": 221.7696372554085, + "fos_buckling": 1.4439268256595335, + "fos_yielding": 4.502668799062812, + "deflection": 0.007146580070001453, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_56", + "improvement_over_parent": null + }, + "node_58": { + "node_id": "node_58", + "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 222.51 kg\n Factor of Safety: 1.47\n Max Deflection: 7.10e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.51284564413902, + "fos_buckling": 1.4667783205137401, + "fos_yielding": 4.60445035013215, + "deflection": 0.00709638488963962, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.225)" + }, + "parent_node_id": "node_57", + "improvement_over_parent": null + }, + "node_59": { + "node_id": "node_59", + "content": "MODIFICATION: Increase 2 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.65 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.65323486098123, + "fos_buckling": 1.5261296448689996, + "fos_yielding": 4.605406391929532, + "deflection": 0.006968117690617593, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.333)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0027)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n Mass: 128.32 kg\n Factor of Safety: 0.87\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.3169161767326, + "fos_buckling": 0.8662594089985175, + "fos_yielding": 2.7567751440274173, + "deflection": 0.012207165818576029, + "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 8 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n Mass: 133.44 kg\n Factor of Safety: 0.86\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.4350322048342, + "fos_buckling": 0.8636550694607654, + "fos_yielding": 2.757752997225712, + "deflection": 0.011847824148537755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.522)" + }, + "parent_node_id": "node_61", + "improvement_over_parent": null + }, + "node_63": { + "node_id": "node_63", + "content": "MODIFICATION: Increase 10 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n Mass: 137.19 kg\n Factor of Safety: 1.00\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": 137.18780795710632, + "fos_buckling": 0.9954967473344954, + "fos_yielding": 2.783400192668862, + "deflection": 0.011446143488344912, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.247)" + }, + "parent_node_id": "node_62", + "improvement_over_parent": null + }, + "node_64": { + "node_id": "node_64", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n Mass: 152.84 kg\n Factor of Safety: 1.09\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.8415308540161, + "fos_buckling": 1.094330069812532, + "fos_yielding": 3.099351189455819, + "deflection": 0.010292078569887916, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_63", + "improvement_over_parent": null + }, + "node_65": { + "node_id": "node_65", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n Mass: 171.28 kg\n Factor of Safety: 1.21\n Max Deflection: 9.20e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.2816616123703, + "fos_buckling": 1.2069525661649008, + "fos_yielding": 3.471112085985858, + "deflection": 0.009203195498596661, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_64", + "improvement_over_parent": null + }, + "node_66": { + "node_id": "node_66", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 205.65 kg\n Factor of Safety: 1.41\n Max Deflection: 7.69e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.6548401406979, + "fos_buckling": 1.4059870018079192, + "fos_yielding": 4.162850418075554, + "deflection": 0.007694716071171281, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_65", + "improvement_over_parent": null + }, + "node_67": { + "node_id": "node_67", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.55 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.55057973062773, + "fos_buckling": 1.5254368571536718, + "fos_yielding": 4.602649058799561, + "deflection": 0.00697142643087755, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_66", + "improvement_over_parent": null + }, + "node_68": { + "node_id": "node_68", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_67", + "improvement_over_parent": null + }, + "node_69": { + "node_id": "node_69", + "content": "INITIAL DESIGN (Trace 10)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 151.57 kg\n Factor of Safety: 0.66\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": 151.57270451135406, + "fos_buckling": 0.6584102878378467, + "fos_yielding": 3.6548753404219045, + "deflection": 15849860458246.594, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_70": { + "node_id": "node_70", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n Mass: 180.03 kg\n Factor of Safety: 0.88\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.02830860575358, + "fos_buckling": 0.8830677170075872, + "fos_yielding": 4.038186210534555, + "deflection": 0.010034106005730075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007024)" + }, + "parent_node_id": "node_69", + "improvement_over_parent": null + }, + "node_71": { + "node_id": "node_71", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n\nPerformance:\n Mass: 199.43 kg\n Factor of Safety: 1.31\n Max Deflection: 8.01e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.43339504597265, + "fos_buckling": 1.3082556244271564, + "fos_yielding": 4.058029025336893, + "deflection": 0.00800577636926715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005977)" + }, + "parent_node_id": "node_70", + "improvement_over_parent": null + }, + "node_72": { + "node_id": "node_72", + "content": "MODIFICATION: Increase 5 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0065)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n\nPerformance:\n Mass: 200.86 kg\n Factor of Safety: 1.28\n Max Deflection: 7.92e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.85902196805506, + "fos_buckling": 1.2817569816277052, + "fos_yielding": 4.719317961330813, + "deflection": 0.007922754825812124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.361)" + }, + "parent_node_id": "node_71", + "improvement_over_parent": null + }, + "node_73": { + "node_id": "node_73", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0075)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 228.62 kg\n Factor of Safety: 1.44\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": 228.62119792929806, + "fos_buckling": 1.4416791843424916, + "fos_yielding": 5.365173441705437, + "deflection": 0.006981223479458931, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_72", + "improvement_over_parent": null + }, + "node_74": { + "node_id": "node_74", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_73", + "improvement_over_parent": null + }, + "node_75": { + "node_id": "node_75", + "content": "INITIAL DESIGN (Trace 11)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n Mass: 159.83 kg\n Factor of Safety: 0.56\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": 159.8280230128404, + "fos_buckling": 0.5560365261644808, + "fos_yielding": 3.1574919011582785, + "deflection": 0.014313389258243972, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_76": { + "node_id": "node_76", + "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n Mass: 160.77 kg\n Factor of Safety: 0.56\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.76751458974684, + "fos_buckling": 0.5560365261644807, + "fos_yielding": 3.754982127302822, + "deflection": 0.014206611075288821, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.292)" + }, + "parent_node_id": "node_75", + "improvement_over_parent": null + }, + "node_77": { + "node_id": "node_77", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n Mass: 182.96 kg\n Factor of Safety: 0.62\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.96270907146476, + "fos_buckling": 0.6172273083892841, + "fos_yielding": 4.264985621942561, + "deflection": 0.012513538310660419, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_76", + "improvement_over_parent": null + }, + "node_78": { + "node_id": "node_78", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 215.36 kg\n Factor of Safety: 1.15\n Max Deflection: 7.55e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.35632871158305, + "fos_buckling": 1.1499300700483828, + "fos_yielding": 4.506314503574133, + "deflection": 0.007548475496979859, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_77", + "improvement_over_parent": null + }, + "node_79": { + "node_id": "node_79", + "content": "MODIFICATION: Increase 10 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0134)]\n\nPerformance:\n Mass: 233.54 kg\n Factor of Safety: 1.15\n Max Deflection: 7.14e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.53534436944295, + "fos_buckling": 1.1510166075167845, + "fos_yielding": 4.502458968465071, + "deflection": 0.007138294063190634, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.661)" + }, + "parent_node_id": "node_78", + "improvement_over_parent": null + }, + "node_80": { + "node_id": "node_80", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_79", + "improvement_over_parent": null + }, + "node_81": { + "node_id": "node_81", + "content": "INITIAL DESIGN (Trace 12)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0028)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n Mass: 123.84 kg\n Factor of Safety: 0.90\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": 123.83745035036983, + "fos_buckling": 0.9011327649310008, + "fos_yielding": 2.725625776343561, + "deflection": 0.012425577622235269, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_82": { + "node_id": "node_82", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0034)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 150.70 kg\n Factor of Safety: 1.08\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": 150.70337361514652, + "fos_buckling": 1.07664074991661, + "fos_yielding": 3.3114039634207932, + "deflection": 0.010243395579664609, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_81", + "improvement_over_parent": null + }, + "node_83": { + "node_id": "node_83", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 185.40 kg\n Factor of Safety: 1.28\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": 185.40190719783394, + "fos_buckling": 1.2841781140681519, + "fos_yielding": 4.064834000860352, + "deflection": 0.00836097277823694, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_82", + "improvement_over_parent": null + }, + "node_84": { + "node_id": "node_84", + "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 190.21 kg\n Factor of Safety: 1.30\n Max Deflection: 8.22e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.2126744024217, + "fos_buckling": 1.2954973105276666, + "fos_yielding": 4.065601076666886, + "deflection": 0.00821865788767224, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.359)" + }, + "parent_node_id": "node_83", + "improvement_over_parent": null + }, + "node_85": { + "node_id": "node_85", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 217.51 kg\n Factor of Safety: 1.45\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": 217.50525879438186, + "fos_buckling": 1.4539418520717136, + "fos_yielding": 4.642096618443097, + "deflection": 0.007210124779499449, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_84", + "improvement_over_parent": null + }, + "node_86": { + "node_id": "node_86", + "content": "MODIFICATION: Increase 8 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 222.07 kg\n Factor of Safety: 1.46\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.06694208375728, + "fos_buckling": 1.4559892598773176, + "fos_yielding": 4.64272262785846, + "deflection": 0.00710764678140366, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.238)" + }, + "parent_node_id": "node_85", + "improvement_over_parent": null + }, + "node_87": { + "node_id": "node_87", + "content": "MODIFICATION: Increase 3 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.52 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.52451155630598, + "fos_buckling": 1.5254036364143562, + "fos_yielding": 4.602399788599596, + "deflection": 0.006972052214339857, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.370)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 115.49 kg\n Factor of Safety: 1.49\n Max Deflection: 4.61e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.49420008296363, + "fos_buckling": 1.4944458032065293, + "fos_yielding": 4.016507921752429, + "deflection": 46146059347626.234, + "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 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n\nPerformance:\n Mass: 126.80 kg\n Factor of Safety: 0.35\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.80423902595723, + "fos_buckling": 0.3462271573007016, + "fos_yielding": 3.3389392296932585, + "deflection": 0.019260054169552118, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003369)" + }, + "parent_node_id": "node_89", + "improvement_over_parent": null + }, + "node_91": { + "node_id": "node_91", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n\nPerformance:\n Mass: 162.62 kg\n Factor of Safety: 0.43\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.61669543290097, + "fos_buckling": 0.4342167376027412, + "fos_yielding": 4.269212588489977, + "deflection": 0.015053771560447949, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_90", + "improvement_over_parent": null + }, + "node_92": { + "node_id": "node_92", + "content": "MODIFICATION: Increase 2 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0106)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n\nPerformance:\n Mass: 173.03 kg\n Factor of Safety: 0.43\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.02510236625147, + "fos_buckling": 0.4336229433887066, + "fos_yielding": 4.267358684263813, + "deflection": 0.015073618986459961, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.560)" + }, + "parent_node_id": "node_91", + "improvement_over_parent": null + }, + "node_93": { + "node_id": "node_93", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0106)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 205.42 kg\n Factor of Safety: 1.00\n Max Deflection: 8.95e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.41872200636976, + "fos_buckling": 1.0036922572602494, + "fos_yielding": 5.139855038481105, + "deflection": 0.008945014718709956, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_92", + "improvement_over_parent": null + }, + "node_94": { + "node_id": "node_94", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0106)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 230.54 kg\n Factor of Safety: 1.35\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": 230.5380169838707, + "fos_buckling": 1.3532095351530316, + "fos_yielding": 4.554796221957625, + "deflection": 0.007024582368426605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 145.84 kg\n Factor of Safety: 0.13\n Max Deflection: 2.47e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.84100169215574, + "fos_buckling": 0.13039858713444544, + "fos_yielding": 1.2053548597561738, + "deflection": 246878997970769.47, + "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 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 178.23 kg\n Factor of Safety: 0.98\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": 178.23462133227403, + "fos_buckling": 0.983703885058305, + "fos_yielding": 2.9072704190850356, + "deflection": 0.010712039932116368, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_96", + "improvement_over_parent": null + }, + "node_98": { + "node_id": "node_98", + "content": "MODIFICATION: Increase 5 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 179.54 kg\n Factor of Safety: 0.98\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": 179.53635157558912, + "fos_buckling": 0.983703885058305, + "fos_yielding": 4.238778101120525, + "deflection": 0.010712039932116368, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.493)" + }, + "parent_node_id": "node_97", + "improvement_over_parent": null + }, + "node_99": { + "node_id": "node_99", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.66 kg\n Factor of Safety: 0.98\n Max Deflection: 8.89e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.65564655309007, + "fos_buckling": 0.9804711837804452, + "fos_yielding": 3.793357164537902, + "deflection": 0.008887867439579098, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_98", + "improvement_over_parent": null + }, + "node_100": { + "node_id": "node_100", + "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 205.55 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.54593614203267, + "fos_buckling": 0.9804711837804452, + "fos_yielding": 4.5906382293570385, + "deflection": 0.008819678296506124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.236)" + }, + "parent_node_id": "node_99", + "improvement_over_parent": null + }, + "node_101": { + "node_id": "node_101", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63708427069298, + "fos_buckling": 1.5260975716972571, + "fos_yielding": 4.607646988657766, + "deflection": 0.006968737387375015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_100", + "improvement_over_parent": null + }, + "node_102": { + "node_id": "node_102", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_101", + "improvement_over_parent": null + }, + "node_103": { + "node_id": "node_103", + "content": "INITIAL DESIGN (Trace 15)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n\nPerformance:\n Mass: 122.85 kg\n Factor of Safety: 1.40\n Max Deflection: 5.03e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.85067597151226, + "fos_buckling": 1.4000990943277942, + "fos_yielding": 3.7264600869518567, + "deflection": 50264056397505.22, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_104": { + "node_id": "node_104", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n Mass: 141.03 kg\n Factor of Safety: 0.45\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.03191236913412, + "fos_buckling": 0.45319598419477386, + "fos_yielding": 2.7949400416636023, + "deflection": 0.016607724772303857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005023)" + }, + "parent_node_id": "node_103", + "improvement_over_parent": null + }, + "node_105": { + "node_id": "node_105", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 155.73 kg\n Factor of Safety: 0.49\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.73136717005636, + "fos_buckling": 0.4930255322826385, + "fos_yielding": 3.0840257205780666, + "deflection": 0.015064749625467284, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_104", + "improvement_over_parent": null + }, + "node_106": { + "node_id": "node_106", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n Mass: 175.80 kg\n Factor of Safety: 0.55\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.79684779731093, + "fos_buckling": 0.54518820123092, + "fos_yielding": 3.4779697745565175, + "deflection": 0.01337503422091712, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_105", + "improvement_over_parent": null + }, + "node_107": { + "node_id": "node_107", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 205.40 kg\n Factor of Safety: 1.41\n Max Deflection: 7.70e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.40422973577654, + "fos_buckling": 1.405563024942019, + "fos_yielding": 4.157187411206882, + "deflection": 0.0077037516499795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007283)" + }, + "parent_node_id": "node_106", + "improvement_over_parent": null + }, + "node_108": { + "node_id": "node_108", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.28 kg\n Factor of Safety: 1.52\n Max Deflection: 6.98e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.2763867702647, + "fos_buckling": 1.5249875289798003, + "fos_yielding": 4.596462453238252, + "deflection": 0.006979501185301604, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_107", + "improvement_over_parent": null + }, + "node_109": { + "node_id": "node_109", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_108", + "improvement_over_parent": null + }, + "node_110": { + "node_id": "node_110", + "content": "INITIAL DESIGN (Trace 16)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 144.98 kg\n Factor of Safety: 0.51\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.97597155998335, + "fos_buckling": 0.5128576602050946, + "fos_yielding": 2.7408349774070255, + "deflection": 0.015325855321008114, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_111": { + "node_id": "node_111", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 164.02 kg\n Factor of Safety: 0.57\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.0210493503477, + "fos_buckling": 0.5679785550288701, + "fos_yielding": 3.102053271584678, + "deflection": 0.013579020148150975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_110", + "improvement_over_parent": null + }, + "node_112": { + "node_id": "node_112", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n\nPerformance:\n Mass: 193.25 kg\n Factor of Safety: 1.26\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": 193.24793578434833, + "fos_buckling": 1.2645410976685099, + "fos_yielding": 3.8735090516848794, + "deflection": 0.008197092056402767, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007231)" + }, + "parent_node_id": "node_111", + "improvement_over_parent": null + }, + "node_113": { + "node_id": "node_113", + "content": "MODIFICATION: Increase 9 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0113)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n\nPerformance:\n Mass: 207.49 kg\n Factor of Safety: 1.26\n Max Deflection: 7.72e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.48768056329808, + "fos_buckling": 1.2633168113070354, + "fos_yielding": 3.869758849883001, + "deflection": 0.007721520679325825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.550)" + }, + "parent_node_id": "node_112", + "improvement_over_parent": null + }, + "node_114": { + "node_id": "node_114", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0126)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 229.77 kg\n Factor of Safety: 1.38\n Max Deflection: 6.99e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.77014530857159, + "fos_buckling": 1.3823808121073506, + "fos_yielding": 4.293808461966011, + "deflection": 0.00698661742046923, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_113", + "improvement_over_parent": null + }, + "node_115": { + "node_id": "node_115", + "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0126)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 233.93 kg\n Factor of Safety: 1.39\n Max Deflection: 6.82e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.92779957453908, + "fos_buckling": 1.3942891006028741, + "fos_yielding": 4.330796757421055, + "deflection": 0.006820561949769374, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.192)" + }, + "parent_node_id": "node_114", + "improvement_over_parent": null + }, + "node_116": { + "node_id": "node_116", + "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0126)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 234.77 kg\n Factor of Safety: 1.53\n Max Deflection: 6.76e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 234.77302254904444, + "fos_buckling": 1.5340327509710046, + "fos_yielding": 4.731699795002857, + "deflection": 0.0067561811639218405, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.263)" + }, + "parent_node_id": "node_115", + "improvement_over_parent": null + }, + "node_117": { + "node_id": "node_117", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_116", + "improvement_over_parent": null + }, + "node_118": { + "node_id": "node_118", + "content": "INITIAL DESIGN (Trace 17)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0025)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0040)]\n\nPerformance:\n Mass: 112.29 kg\n Factor of Safety: 0.81\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": 112.28526101078316, + "fos_buckling": 0.8129317677346056, + "fos_yielding": 2.3561586272123076, + "deflection": 0.013855547983104942, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_119": { + "node_id": "node_119", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n Mass: 139.12 kg\n Factor of Safety: 0.98\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": 139.11992553030737, + "fos_buckling": 0.9840978150756243, + "fos_yielding": 2.915758955855249, + "deflection": 0.011217427943653513, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_118", + "improvement_over_parent": null + }, + "node_120": { + "node_id": "node_120", + "content": "MODIFICATION: Increase 8 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n Mass: 143.80 kg\n Factor of Safety: 1.04\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.79718771648868, + "fos_buckling": 1.0376423411182203, + "fos_yielding": 2.916686594871539, + "deflection": 0.010928338453829905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.429)" + }, + "parent_node_id": "node_119", + "improvement_over_parent": null + }, + "node_121": { + "node_id": "node_121", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 176.15 kg\n Factor of Safety: 1.24\n Max Deflection: 8.95e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.14869466341088, + "fos_buckling": 1.2360535487839222, + "fos_yielding": 3.5689672521926306, + "deflection": 0.008953920048169008, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_120", + "improvement_over_parent": null + }, + "node_122": { + "node_id": "node_122", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.66 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6623728725612, + "fos_buckling": 1.5260965804057647, + "fos_yielding": 4.6046558480923725, + "deflection": 0.006968161650051409, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_121", + "improvement_over_parent": null + }, + "node_123": { + "node_id": "node_123", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_122", + "improvement_over_parent": null + }, + "node_124": { + "node_id": "node_124", + "content": "INITIAL DESIGN (Trace 18)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n Mass: 153.42 kg\n Factor of Safety: 1.10\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": 153.41591899486508, + "fos_buckling": 1.097995399156909, + "fos_yielding": 3.1108923800473183, + "deflection": 0.010254182351414365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_125": { + "node_id": "node_125", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n Mass: 174.05 kg\n Factor of Safety: 1.22\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": 174.05249475233813, + "fos_buckling": 1.2236235702401788, + "fos_yielding": 3.5268817858781056, + "deflection": 0.009059492651010317, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_124", + "improvement_over_parent": null + }, + "node_126": { + "node_id": "node_126", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 199.76 kg\n Factor of Safety: 1.37\n Max Deflection: 7.92e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.75504578894865, + "fos_buckling": 1.372937340807664, + "fos_yielding": 4.044177326981501, + "deflection": 0.007916702783095031, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_125", + "improvement_over_parent": null + }, + "node_127": { + "node_id": "node_127", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.39 kg\n Factor of Safety: 1.52\n Max Deflection: 6.98e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.39364997235862, + "fos_buckling": 1.5247154975984791, + "fos_yielding": 4.599434337991701, + "deflection": 0.006976095846438806, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_126", + "improvement_over_parent": null + }, + "node_128": { + "node_id": "node_128", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_127", + "improvement_over_parent": null + }, + "node_129": { + "node_id": "node_129", + "content": "INITIAL DESIGN (Trace 19)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\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_130": { + "node_id": "node_130", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 202.02 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.01645834631773, + "fos_buckling": 0.9809396807241817, + "fos_yielding": 4.587806023380328, + "deflection": 0.008817302366464028, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_129", + "improvement_over_parent": null + }, + "node_131": { + "node_id": "node_131", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63298725561233, + "fos_buckling": 1.5259788749908192, + "fos_yielding": 4.604199109896495, + "deflection": 0.006968967111365604, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_130", + "improvement_over_parent": null + }, + "node_132": { + "node_id": "node_132", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_131", + "improvement_over_parent": null + }, + "node_133": { + "node_id": "node_133", + "content": "INITIAL DESIGN (Trace 20)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n\nPerformance:\n Mass: 114.04 kg\n Factor of Safety: 0.19\n Max Deflection: 1.15e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 114.03994582185368, + "fos_buckling": 0.1906068622204126, + "fos_yielding": 2.609208369773256, + "deflection": 115198390423533.14, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_134": { + "node_id": "node_134", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n Mass: 135.80 kg\n Factor of Safety: 0.44\n Max Deflection: 2.17e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.8042510803937, + "fos_buckling": 0.4409222079952136, + "fos_yielding": 2.4466352501984945, + "deflection": 0.021729893602329027, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006094)" + }, + "parent_node_id": "node_133", + "improvement_over_parent": null + }, + "node_135": { + "node_id": "node_135", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 156.89 kg\n Factor of Safety: 0.50\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.88605996201525, + "fos_buckling": 0.5015181098226749, + "fos_yielding": 2.83304472117439, + "deflection": 0.018838518380192102, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_134", + "improvement_over_parent": null + }, + "node_136": { + "node_id": "node_136", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 184.78 kg\n Factor of Safety: 0.62\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.78346007177709, + "fos_buckling": 0.6172135117502708, + "fos_yielding": 4.267305433961218, + "deflection": 0.013239724788004644, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006828)" + }, + "parent_node_id": "node_135", + "improvement_over_parent": null + }, + "node_137": { + "node_id": "node_137", + "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 185.36 kg\n Factor of Safety: 0.62\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.35532214632292, + "fos_buckling": 0.6171209142777339, + "fos_yielding": 4.267101955165072, + "deflection": 0.012962336385461506, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.346)" + }, + "parent_node_id": "node_136", + "improvement_over_parent": null + }, + "node_138": { + "node_id": "node_138", + "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 190.23 kg\n Factor of Safety: 0.62\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.23176821966462, + "fos_buckling": 0.6167264220985603, + "fos_yielding": 4.266234609324535, + "deflection": 0.012769975642749669, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.192)" + }, + "parent_node_id": "node_137", + "improvement_over_parent": null + }, + "node_139": { + "node_id": "node_139", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 222.63 kg\n Factor of Safety: 1.48\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.6253878597829, + "fos_buckling": 1.47579716971769, + "fos_yielding": 4.605610564364978, + "deflection": 0.007082424619465363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_138", + "improvement_over_parent": null + }, + "node_140": { + "node_id": "node_140", + "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0091)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 228.67 kg\n Factor of Safety: 1.47\n Max Deflection: 6.99e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.67030238812652, + "fos_buckling": 1.4732690227478664, + "fos_yielding": 4.5758023861039945, + "deflection": 0.006985091450798232, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.272)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 21)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n Mass: 113.03 kg\n Factor of Safety: 0.26\n Max Deflection: 3.11e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.02777652893255, + "fos_buckling": 0.2581526097024535, + "fos_yielding": 2.295454437068219, + "deflection": 31147957261694.742, + "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 6 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n Mass: 115.70 kg\n Factor of Safety: 0.09\n Max Deflection: 4.02e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.69902162317562, + "fos_buckling": 0.09327611247818576, + "fos_yielding": 0.8673765322317963, + "deflection": 402029995945600.5, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.198)" + }, + "parent_node_id": "node_142", + "improvement_over_parent": null + }, + "node_144": { + "node_id": "node_144", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 147.70 kg\n Factor of Safety: 0.25\n Max Deflection: 4.17e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.69726444946488, + "fos_buckling": 0.24993234320795543, + "fos_yielding": 3.4138106606864844, + "deflection": 41675121535029.99, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_143", + "improvement_over_parent": null + }, + "node_145": { + "node_id": "node_145", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 171.23 kg\n Factor of Safety: 0.17\n Max Deflection: 5.46e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.22540084193542, + "fos_buckling": 0.1672404054405997, + "fos_yielding": 2.4644583345032176, + "deflection": 54647949323192.66, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_144", + "improvement_over_parent": null + }, + "node_146": { + "node_id": "node_146", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 173.61 kg\n Factor of Safety: 0.62\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.61008315352157, + "fos_buckling": 0.6178912458256846, + "fos_yielding": 4.265857745277508, + "deflection": 0.013409601055678516, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_145", + "improvement_over_parent": null + }, + "node_147": { + "node_id": "node_147", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 206.00 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.00370279363986, + "fos_buckling": 1.0038604671422462, + "fos_yielding": 5.144500185820677, + "deflection": 0.008713516414698887, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_146", + "improvement_over_parent": null + }, + "node_148": { + "node_id": "node_148", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.66 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.66299907048727, + "fos_buckling": 1.5261844959555617, + "fos_yielding": 4.6048315228544, + "deflection": 0.006968162316857153, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 22)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\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_151": { + "node_id": "node_151", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 173.15 kg\n Factor of Safety: 0.57\n Max Deflection: 2.50e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.14759648517062, + "fos_buckling": 0.5693289663585177, + "fos_yielding": 3.4509881293423375, + "deflection": 25012525287617.59, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_150", + "improvement_over_parent": null + }, + "node_152": { + "node_id": "node_152", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 195.24 kg\n Factor of Safety: 0.62\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.23874461383093, + "fos_buckling": 0.6161125107625718, + "fos_yielding": 4.261406989281567, + "deflection": 0.011901107172568537, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_151", + "improvement_over_parent": null + }, + "node_153": { + "node_id": "node_153", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63236425394922, + "fos_buckling": 1.5259787550801207, + "fos_yielding": 4.604199293303069, + "deflection": 0.006968987437167413, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_152", + "improvement_over_parent": null + }, + "node_154": { + "node_id": "node_154", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_153", + "improvement_over_parent": null + }, + "node_155": { + "node_id": "node_155", + "content": "INITIAL DESIGN (Trace 23)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n Mass: 106.66 kg\n Factor of Safety: 0.65\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 106.65835907152703, + "fos_buckling": 0.6491068764362499, + "fos_yielding": 3.145196067922746, + "deflection": 0.017363921757893815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_156": { + "node_id": "node_156", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n\nPerformance:\n Mass: 120.15 kg\n Factor of Safety: 0.66\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.15038315063758, + "fos_buckling": 0.6633568924753526, + "fos_yielding": 3.145196067922746, + "deflection": 0.014557216192158572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004054)" + }, + "parent_node_id": "node_155", + "improvement_over_parent": null + }, + "node_157": { + "node_id": "node_157", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n\nPerformance:\n Mass: 154.41 kg\n Factor of Safety: 0.82\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.40772022904758, + "fos_buckling": 0.8235111928003459, + "fos_yielding": 4.038033105774117, + "deflection": 0.011375889970529483, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_156", + "improvement_over_parent": null + }, + "node_158": { + "node_id": "node_158", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 197.02 kg\n Factor of Safety: 1.01\n Max Deflection: 8.96e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.02039534045517, + "fos_buckling": 1.0052758767064738, + "fos_yielding": 5.145962678727502, + "deflection": 0.008962711196813782, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_157", + "improvement_over_parent": null + }, + "node_159": { + "node_id": "node_159", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 218.68 kg\n Factor of Safety: 1.43\n Max Deflection: 7.20e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.67969161730258, + "fos_buckling": 1.4253106444768149, + "fos_yielding": 4.6045430300564405, + "deflection": 0.007203549652412342, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_158", + "improvement_over_parent": null + }, + "node_160": { + "node_id": "node_160", + "content": "MODIFICATION: Increase 8 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0130)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 235.41 kg\n Factor of Safety: 1.43\n Max Deflection: 6.82e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.41242587391122, + "fos_buckling": 1.425842809436508, + "fos_yielding": 4.6750632231648135, + "deflection": 0.0068160925987836435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.597)" + }, + "parent_node_id": "node_159", + "improvement_over_parent": null + }, + "node_161": { + "node_id": "node_161", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_160", + "improvement_over_parent": null + }, + "node_162": { + "node_id": "node_162", + "content": "INITIAL DESIGN (Trace 24)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n Mass: 128.86 kg\n Factor of Safety: 0.65\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.86222622076448, + "fos_buckling": 0.6459828522621119, + "fos_yielding": 3.8876407672176647, + "deflection": 0.01496338557301381, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_163": { + "node_id": "node_163", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 152.68 kg\n Factor of Safety: 0.75\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": 152.67578489651996, + "fos_buckling": 0.7501552525808213, + "fos_yielding": 4.602572160731778, + "deflection": 0.012664397306373306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_162", + "improvement_over_parent": null + }, + "node_164": { + "node_id": "node_164", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n\nPerformance:\n Mass: 175.60 kg\n Factor of Safety: 0.92\n Max Deflection: 9.97e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.6017636633304, + "fos_buckling": 0.9183151686989124, + "fos_yielding": 4.602572160731778, + "deflection": 0.009967169751235048, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006374)" + }, + "parent_node_id": "node_163", + "improvement_over_parent": null + }, + "node_165": { + "node_id": "node_165", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n Mass: 198.08 kg\n Factor of Safety: 1.22\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": 198.07948061094083, + "fos_buckling": 1.224735189600504, + "fos_yielding": 4.122581043048676, + "deflection": 0.008036335880269743, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006311)" + }, + "parent_node_id": "node_164", + "improvement_over_parent": null + }, + "node_166": { + "node_id": "node_166", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 221.39 kg\n Factor of Safety: 1.35\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": 221.39299270585394, + "fos_buckling": 1.3468133100034523, + "fos_yielding": 4.602886016312139, + "deflection": 0.007208109020726887, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_165", + "improvement_over_parent": null + }, + "node_167": { + "node_id": "node_167", + "content": "MODIFICATION: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.52 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.51560545344512, + "fos_buckling": 1.5252528585236136, + "fos_yielding": 4.600847301496656, + "deflection": 0.006972807834282643, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.256)" + }, + "parent_node_id": "node_166", + "improvement_over_parent": null + }, + "node_168": { + "node_id": "node_168", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_167", + "improvement_over_parent": null + }, + "node_169": { + "node_id": "node_169", + "content": "INITIAL DESIGN (Trace 25)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n Mass: 100.42 kg\n Factor of Safety: 0.56\n Max Deflection: 4.77e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 100.41975800462691, + "fos_buckling": 0.5603651306381492, + "fos_yielding": 2.704449315829631, + "deflection": 47668871326715.0, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_170": { + "node_id": "node_170", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 117.90 kg\n Factor of Safety: 0.26\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": 117.89746902375131, + "fos_buckling": 0.2562126282659605, + "fos_yielding": 2.6948946187334775, + "deflection": 39769058076315.24, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_169", + "improvement_over_parent": null + }, + "node_171": { + "node_id": "node_171", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n\nPerformance:\n Mass: 119.61 kg\n Factor of Safety: 0.47\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.61354443340615, + "fos_buckling": 0.47045820639845376, + "fos_yielding": 3.0810562343595467, + "deflection": 0.019758045690848474, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002653)" + }, + "parent_node_id": "node_170", + "improvement_over_parent": null + }, + "node_172": { + "node_id": "node_172", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n Mass: 149.89 kg\n Factor of Safety: 0.57\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.89107152011167, + "fos_buckling": 0.5686222923517101, + "fos_yielding": 3.8508329783595427, + "deflection": 0.015814250535439583, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_171", + "improvement_over_parent": null + }, + "node_173": { + "node_id": "node_173", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 166.45 kg\n Factor of Safety: 0.62\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.45334266034627, + "fos_buckling": 0.618829911343578, + "fos_yielding": 4.270122150190052, + "deflection": 0.014263790110698888, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_172", + "improvement_over_parent": null + }, + "node_174": { + "node_id": "node_174", + "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 173.71 kg\n Factor of Safety: 0.62\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.71110959437522, + "fos_buckling": 0.6182398722717455, + "fos_yielding": 4.2688299982972655, + "deflection": 0.013401431648405236, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.379)" + }, + "parent_node_id": "node_173", + "improvement_over_parent": null + }, + "node_175": { + "node_id": "node_175", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 195.37 kg\n Factor of Safety: 0.62\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.37040587122266, + "fos_buckling": 0.6164856937027696, + "fos_yielding": 4.264978484672837, + "deflection": 0.01189264408994685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_174", + "improvement_over_parent": null + }, + "node_176": { + "node_id": "node_176", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.76 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.76402551134095, + "fos_buckling": 1.526913048149533, + "fos_yielding": 4.60814102835302, + "deflection": 0.006965066410433166, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_175", + "improvement_over_parent": null + }, + "node_177": { + "node_id": "node_177", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_176", + "improvement_over_parent": null + }, + "node_178": { + "node_id": "node_178", + "content": "INITIAL DESIGN (Trace 26)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\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_179": { + "node_id": "node_179", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n\nPerformance:\n Mass: 116.73 kg\n Factor of Safety: 0.45\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.72627147292742, + "fos_buckling": 0.451788063808784, + "fos_yielding": 3.249034886237372, + "deflection": 0.016480789020041676, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004154)" + }, + "parent_node_id": "node_178", + "improvement_over_parent": null + }, + "node_180": { + "node_id": "node_180", + "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n\nPerformance:\n Mass: 120.03 kg\n Factor of Safety: 0.45\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.02719832501786, + "fos_buckling": 0.45159082076792006, + "fos_yielding": 3.24809647282818, + "deflection": 0.016487815400762496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.259)" + }, + "parent_node_id": "node_179", + "improvement_over_parent": null + }, + "node_181": { + "node_id": "node_181", + "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n\nPerformance:\n Mass: 123.35 kg\n Factor of Safety: 0.45\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.35067870550282, + "fos_buckling": 0.45139240398585573, + "fos_yielding": 3.24809647282818, + "deflection": 0.01631876397874376, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.220)" + }, + "parent_node_id": "node_180", + "improvement_over_parent": null + }, + "node_182": { + "node_id": "node_182", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0066)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0065)]\n\nPerformance:\n Mass: 151.09 kg\n Factor of Safety: 0.55\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.08943777660127, + "fos_buckling": 0.5454310344638784, + "fos_yielding": 3.9773762506924903, + "deflection": 0.013337197052795785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_181", + "improvement_over_parent": null + }, + "node_183": { + "node_id": "node_183", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0088)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0086)]\n\nPerformance:\n Mass: 195.52 kg\n Factor of Safety: 0.69\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.5151149096124, + "fos_buckling": 0.690390136745549, + "fos_yielding": 5.144593761485978, + "deflection": 0.010321837528071816, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_182", + "improvement_over_parent": null + }, + "node_184": { + "node_id": "node_184", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0088)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0086)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 220.63 kg\n Factor of Safety: 1.21\n Max Deflection: 7.49e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.63440988711335, + "fos_buckling": 1.207360026379286, + "fos_yielding": 4.488585737208573, + "deflection": 0.007494071013846234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_183", + "improvement_over_parent": null + }, + "node_185": { + "node_id": "node_185", + "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0088)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0086)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0091)]\n\nPerformance:\n Mass: 226.68 kg\n Factor of Safety: 1.26\n Max Deflection: 7.35e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.67673833306, + "fos_buckling": 1.2572699928335107, + "fos_yielding": 4.4560614874177995, + "deflection": 0.00734600444768137, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.272)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 27)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n Mass: 155.86 kg\n Factor of Safety: 0.64\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.86054595375296, + "fos_buckling": 0.635794073919041, + "fos_yielding": 3.3942505877595956, + "deflection": 0.014687850999650219, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n\nPerformance:\n Mass: 157.84 kg\n Factor of Safety: 0.64\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": 157.8394743282474, + "fos_buckling": 0.6354629043133885, + "fos_yielding": 2.9543642225855633, + "deflection": 0.012603624524136253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003091)" + }, + "parent_node_id": "node_187", + "improvement_over_parent": null + }, + "node_189": { + "node_id": "node_189", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n\nPerformance:\n Mass: 175.82 kg\n Factor of Safety: 1.00\n Max Deflection: 9.22e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.81660324397743, + "fos_buckling": 0.9999439505367134, + "fos_yielding": 2.9718426678899976, + "deflection": 0.009215107079884835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005566)" + }, + "parent_node_id": "node_188", + "improvement_over_parent": null + }, + "node_190": { + "node_id": "node_190", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 212.06 kg\n Factor of Safety: 1.19\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": 212.05503381818184, + "fos_buckling": 1.1865186383722781, + "fos_yielding": 3.5961561222567004, + "deflection": 0.007667145060288844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_189", + "improvement_over_parent": null + }, + "node_191": { + "node_id": "node_191", + "content": "MODIFICATION: Increase 10 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0099)]\n\nPerformance:\n Mass: 220.50 kg\n Factor of Safety: 1.19\n Max Deflection: 7.48e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.4993976004774, + "fos_buckling": 1.1868189328660903, + "fos_yielding": 3.5970662688380335, + "deflection": 0.007482480853559538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.449)" + }, + "parent_node_id": "node_190", + "improvement_over_parent": null + }, + "node_192": { + "node_id": "node_192", + "content": "MODIFICATION: Increase 1 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0099)]\n\nPerformance:\n Mass: 225.07 kg\n Factor of Safety: 1.19\n Max Deflection: 7.34e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.07196532274438, + "fos_buckling": 1.1863159597398238, + "fos_yielding": 3.595541834388496, + "deflection": 0.0073429978700784845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.212)" + }, + "parent_node_id": "node_191", + "improvement_over_parent": null + }, + "node_193": { + "node_id": "node_193", + "content": "MODIFICATION: Increase 4 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0085)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0099)]\n\nPerformance:\n Mass: 227.46 kg\n Factor of Safety: 1.19\n Max Deflection: 7.22e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.46040347611066, + "fos_buckling": 1.1866647623015458, + "fos_yielding": 3.596599001488303, + "deflection": 0.007220760989605818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.553)" + }, + "parent_node_id": "node_192", + "improvement_over_parent": null + }, + "node_194": { + "node_id": "node_194", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_193", + "improvement_over_parent": null + }, + "node_195": { + "node_id": "node_195", + "content": "INITIAL DESIGN (Trace 28)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0041)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0041)]\n\nPerformance:\n Mass: 107.10 kg\n Factor of Safety: 0.57\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.10497245000168, + "fos_buckling": 0.5709858756544144, + "fos_yielding": 2.4407808512121547, + "deflection": 0.01644034770920961, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_196": { + "node_id": "node_196", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n Mass: 124.78 kg\n Factor of Safety: 0.65\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.77515674955882, + "fos_buckling": 0.6540366715660588, + "fos_yielding": 2.841633134251253, + "deflection": 0.01414254443662915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_195", + "improvement_over_parent": null + }, + "node_197": { + "node_id": "node_197", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 163.32 kg\n Factor of Safety: 0.82\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.3179733464536, + "fos_buckling": 0.8244598061649785, + "fos_yielding": 3.714200428982088, + "deflection": 0.010855611337683415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_196", + "improvement_over_parent": null + }, + "node_198": { + "node_id": "node_198", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n\nPerformance:\n Mass: 184.02 kg\n Factor of Safety: 1.28\n Max Deflection: 8.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.01607930720814, + "fos_buckling": 1.2825131270927654, + "fos_yielding": 3.727737345927032, + "deflection": 0.008578425684913734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005707)" + }, + "parent_node_id": "node_197", + "improvement_over_parent": null + }, + "node_199": { + "node_id": "node_199", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.76 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.7559568209533, + "fos_buckling": 1.5267222477309486, + "fos_yielding": 4.606970709445742, + "deflection": 0.006965143384811621, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 29)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 154.32 kg\n Factor of Safety: 0.54\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": 154.31963745131372, + "fos_buckling": 0.536837076510259, + "fos_yielding": 3.6006964978108797, + "deflection": 0.01453900733264708, + "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: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n\nPerformance:\n Mass: 172.56 kg\n Factor of Safety: 1.04\n Max Deflection: 9.29e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.56084951882377, + "fos_buckling": 1.0364336528391147, + "fos_yielding": 3.918078098416989, + "deflection": 0.009291414654290708, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.004374)" + }, + "parent_node_id": "node_201", + "improvement_over_parent": null + }, + "node_203": { + "node_id": "node_203", + "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n\nPerformance:\n Mass: 176.21 kg\n Factor of Safety: 1.04\n Max Deflection: 9.05e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.20849654417188, + "fos_buckling": 1.037311877167591, + "fos_yielding": 3.942769255368154, + "deflection": 0.009052055486294534, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.195)" + }, + "parent_node_id": "node_202", + "improvement_over_parent": null + }, + "node_204": { + "node_id": "node_204", + "content": "MODIFICATION: Increase 3 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n\nPerformance:\n Mass: 182.86 kg\n Factor of Safety: 1.03\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": 182.8550292766028, + "fos_buckling": 1.0338159224094965, + "fos_yielding": 3.889194432028229, + "deflection": 0.008797528777077237, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.616)" + }, + "parent_node_id": "node_203", + "improvement_over_parent": null + }, + "node_205": { + "node_id": "node_205", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n\nPerformance:\n Mass: 217.10 kg\n Factor of Safety: 1.20\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": 217.1048609884634, + "fos_buckling": 1.204574778820003, + "fos_yielding": 4.609552318190384, + "deflection": 0.00743494087279339, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_204", + "improvement_over_parent": null + }, + "node_206": { + "node_id": "node_206", + "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0111)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n\nPerformance:\n Mass: 228.92 kg\n Factor of Safety: 1.28\n Max Deflection: 7.21e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.92074163409274, + "fos_buckling": 1.2826426212322073, + "fos_yielding": 4.610427387657077, + "deflection": 0.007207831832692455, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.536)" + }, + "parent_node_id": "node_205", + "improvement_over_parent": null + }, + "node_207": { + "node_id": "node_207", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_206", + "improvement_over_parent": null + }, + "node_208": { + "node_id": "node_208", + "content": "INITIAL DESIGN (Trace 30)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n Mass: 107.74 kg\n Factor of Safety: 0.25\n Max Deflection: 3.78e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.74271299596073, + "fos_buckling": 0.24795257156051306, + "fos_yielding": 3.4683889403012214, + "deflection": 37810513381408.79, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_209": { + "node_id": "node_209", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n Mass: 132.53 kg\n Factor of Safety: 0.22\n Max Deflection: 6.07e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.52647538828225, + "fos_buckling": 0.22214559034092757, + "fos_yielding": 3.195349556925942, + "deflection": 60719655955531.26, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_208", + "improvement_over_parent": null + }, + "node_210": { + "node_id": "node_210", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n\nPerformance:\n Mass: 160.53 kg\n Factor of Safety: 0.87\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": 160.5331945719955, + "fos_buckling": 0.8734265842321691, + "fos_yielding": 3.9666159591982626, + "deflection": 0.010479793060523034, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006904)" + }, + "parent_node_id": "node_209", + "improvement_over_parent": null + }, + "node_211": { + "node_id": "node_211", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 185.85 kg\n Factor of Safety: 0.98\n Max Deflection: 9.08e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.85170520986088, + "fos_buckling": 0.9829572788256618, + "fos_yielding": 4.583524942734118, + "deflection": 0.009084446414821897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_210", + "improvement_over_parent": null + }, + "node_212": { + "node_id": "node_212", + "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 193.42 kg\n Factor of Safety: 0.98\n Max Deflection: 9.09e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.42247733974295, + "fos_buckling": 0.9819821594172699, + "fos_yielding": 4.582969320562214, + "deflection": 0.0090931880121804, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.572)" + }, + "parent_node_id": "node_211", + "improvement_over_parent": null + }, + "node_213": { + "node_id": "node_213", + "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 197.07 kg\n Factor of Safety: 0.98\n Max Deflection: 8.99e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.06601263001272, + "fos_buckling": 0.9815135594360221, + "fos_yielding": 4.557016289965842, + "deflection": 0.008992553870488001, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.222)" + }, + "parent_node_id": "node_212", + "improvement_over_parent": null + }, + "node_214": { + "node_id": "node_214", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 222.68 kg\n Factor of Safety: 1.38\n Max Deflection: 7.15e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.68254153930732, + "fos_buckling": 1.3819423851206263, + "fos_yielding": 4.572359417828223, + "deflection": 0.007154956280289579, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_213", + "improvement_over_parent": null + }, + "node_215": { + "node_id": "node_215", + "content": "MODIFICATION: Increase 10 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0086)]\n\nPerformance:\n Mass: 227.16 kg\n Factor of Safety: 1.38\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.15747900181984, + "fos_buckling": 1.3800761205073357, + "fos_yielding": 4.572726942541461, + "deflection": 0.007078800917430544, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.196)" + }, + "parent_node_id": "node_214", + "improvement_over_parent": null + }, + "node_216": { + "node_id": "node_216", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_215", + "improvement_over_parent": null + }, + "node_217": { + "node_id": "node_217", + "content": "INITIAL DESIGN (Trace 31)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 142.24 kg\n Factor of Safety: 0.60\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.24395885128166, + "fos_buckling": 0.5964137303310669, + "fos_yielding": 2.982425661759921, + "deflection": 0.016095759879812804, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_218": { + "node_id": "node_218", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 175.02 kg\n Factor of Safety: 0.69\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.02155359416716, + "fos_buckling": 0.6899127579419817, + "fos_yielding": 3.512446901275767, + "deflection": 0.011464805887784818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_217", + "improvement_over_parent": null + }, + "node_219": { + "node_id": "node_219", + "content": "MODIFICATION: Increase 7 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 185.99 kg\n Factor of Safety: 0.98\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": 185.98897266049576, + "fos_buckling": 0.9820991941335987, + "fos_yielding": 3.511771342603518, + "deflection": 0.010037168176982744, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.562)" + }, + "parent_node_id": "node_218", + "improvement_over_parent": null + }, + "node_220": { + "node_id": "node_220", + "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 192.23 kg\n Factor of Safety: 0.98\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": 192.232666002247, + "fos_buckling": 0.981295700299599, + "fos_yielding": 3.5113285524384135, + "deflection": 0.009304945291889709, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.316)" + }, + "parent_node_id": "node_219", + "improvement_over_parent": null + }, + "node_221": { + "node_id": "node_221", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 217.85 kg\n Factor of Safety: 1.31\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": 217.8491949115416, + "fos_buckling": 1.3122290268364667, + "fos_yielding": 3.522373608784054, + "deflection": 0.007473812221064473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_220", + "improvement_over_parent": null + }, + "node_222": { + "node_id": "node_222", + "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 218.99 kg\n Factor of Safety: 1.49\n Max Deflection: 7.37e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.9931953793959, + "fos_buckling": 1.4918274751079124, + "fos_yielding": 4.5365343498957555, + "deflection": 0.007371872873207862, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.323)" + }, + "parent_node_id": "node_221", + "improvement_over_parent": null + }, + "node_223": { + "node_id": "node_223", + "content": "MODIFICATION: Increase 1 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.60855638811586, + "fos_buckling": 1.5260188369781362, + "fos_yielding": 4.606332298215288, + "deflection": 0.006969671868872372, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.481)" + }, + "parent_node_id": "node_222", + "improvement_over_parent": null + }, + "node_224": { + "node_id": "node_224", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_223", + "improvement_over_parent": null + }, + "node_225": { + "node_id": "node_225", + "content": "INITIAL DESIGN (Trace 32)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n Mass: 128.71 kg\n Factor of Safety: 0.55\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.71220592326983, + "fos_buckling": 0.5523946252826041, + "fos_yielding": 3.5069084507525057, + "deflection": 0.017804763013326258, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_226": { + "node_id": "node_226", + "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n Mass: 132.73 kg\n Factor of Safety: 0.55\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.72526034296777, + "fos_buckling": 0.552101846115196, + "fos_yielding": 3.5069084507525057, + "deflection": 0.016919298247249845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.236)" + }, + "parent_node_id": "node_225", + "improvement_over_parent": null + }, + "node_227": { + "node_id": "node_227", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n\nPerformance:\n Mass: 134.35 kg\n Factor of Safety: 0.55\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.34998441500852, + "fos_buckling": 0.551865004429403, + "fos_yielding": 3.506908450752505, + "deflection": 0.014155060393268994, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002503)" + }, + "parent_node_id": "node_226", + "improvement_over_parent": null + }, + "node_228": { + "node_id": "node_228", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n\nPerformance:\n Mass: 166.56 kg\n Factor of Safety: 0.67\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.5609798886923, + "fos_buckling": 0.6701974219281266, + "fos_yielding": 4.34349140887642, + "deflection": 0.011448967677268482, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_227", + "improvement_over_parent": null + }, + "node_229": { + "node_id": "node_229", + "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0044)]\n\nPerformance:\n Mass: 167.26 kg\n Factor of Safety: 0.67\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.2561356611053, + "fos_buckling": 0.6700749357153201, + "fos_yielding": 4.343491408876417, + "deflection": 0.011429328216285476, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.385)" + }, + "parent_node_id": "node_228", + "improvement_over_parent": null + }, + "node_230": { + "node_id": "node_230", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0044)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n\nPerformance:\n Mass: 185.53 kg\n Factor of Safety: 1.11\n Max Deflection: 8.56e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.53224680747442, + "fos_buckling": 1.108107212978496, + "fos_yielding": 3.830586704957667, + "deflection": 0.00856089309566313, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005666)" + }, + "parent_node_id": "node_229", + "improvement_over_parent": null + }, + "node_231": { + "node_id": "node_231", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0052)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 219.91 kg\n Factor of Safety: 1.29\n Max Deflection: 7.25e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.91071732173975, + "fos_buckling": 1.2856336577204077, + "fos_yielding": 4.534183147593602, + "deflection": 0.007249628522989716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_230", + "improvement_over_parent": null + }, + "node_232": { + "node_id": "node_232", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_231", + "improvement_over_parent": null + }, + "node_233": { + "node_id": "node_233", + "content": "INITIAL DESIGN (Trace 33)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0013)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n Mass: 151.76 kg\n Factor of Safety: 0.78\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": 151.7637938190634, + "fos_buckling": 0.7776264022858775, + "fos_yielding": 3.1112129485703357, + "deflection": 0.01063301739533666, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_234": { + "node_id": "node_234", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 180.46 kg\n Factor of Safety: 0.92\n Max Deflection: 8.97e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.4577884839126, + "fos_buckling": 0.9193906059285941, + "fos_yielding": 3.6954343195047588, + "deflection": 0.008967269444464769, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_233", + "improvement_over_parent": null + }, + "node_235": { + "node_id": "node_235", + "content": "MODIFICATION: Increase 5 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 180.99 kg\n Factor of Safety: 1.26\n Max Deflection: 8.77e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.9910053200335, + "fos_buckling": 1.256648996588377, + "fos_yielding": 3.6793600979333614, + "deflection": 0.008773640588810406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.550)" + }, + "parent_node_id": "node_234", + "improvement_over_parent": null + }, + "node_236": { + "node_id": "node_236", + "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 181.33 kg\n Factor of Safety: 1.27\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": 181.33212015654573, + "fos_buckling": 1.2667168817132834, + "fos_yielding": 3.673483353878312, + "deflection": 0.008702936313305027, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.235)" + }, + "parent_node_id": "node_235", + "improvement_over_parent": null + }, + "node_237": { + "node_id": "node_237", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.58 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5805678376892, + "fos_buckling": 1.5257120330638962, + "fos_yielding": 4.603184319726199, + "deflection": 0.006970508573245264, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_236", + "improvement_over_parent": null + }, + "node_238": { + "node_id": "node_238", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_237", + "improvement_over_parent": null + }, + "node_239": { + "node_id": "node_239", + "content": "INITIAL DESIGN (Trace 34)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n\nPerformance:\n Mass: 96.72 kg\n Factor of Safety: 0.20\n Max Deflection: 1.31e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 96.71544122827021, + "fos_buckling": 0.19740175187998282, + "fos_yielding": 1.3924624065971622, + "deflection": 130946902871939.5, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_240": { + "node_id": "node_240", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n Mass: 120.02 kg\n Factor of Safety: 0.37\n Max Deflection: 5.53e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.01993517580323, + "fos_buckling": 0.3682444251885574, + "fos_yielding": 3.3171316517105254, + "deflection": 55341665399036.22, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.256)" + }, + "parent_node_id": "node_239", + "improvement_over_parent": null + }, + "node_241": { + "node_id": "node_241", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n\nPerformance:\n Mass: 135.11 kg\n Factor of Safety: 0.44\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.1052588492949, + "fos_buckling": 0.43841985856213633, + "fos_yielding": 2.2701733782234337, + "deflection": 0.017500060605034756, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004613)" + }, + "parent_node_id": "node_240", + "improvement_over_parent": null + }, + "node_242": { + "node_id": "node_242", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 157.93 kg\n Factor of Safety: 1.05\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.93256497425952, + "fos_buckling": 1.0463491342590294, + "fos_yielding": 2.721325119006597, + "deflection": 0.010013028327402466, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005507)" + }, + "parent_node_id": "node_241", + "improvement_over_parent": null + }, + "node_243": { + "node_id": "node_243", + "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 162.04 kg\n Factor of Safety: 1.05\n Max Deflection: 9.77e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.03681088593206, + "fos_buckling": 1.0460222848320897, + "fos_yielding": 2.720475055173654, + "deflection": 0.009771862539921123, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.196)" + }, + "parent_node_id": "node_242", + "improvement_over_parent": null + }, + "node_244": { + "node_id": "node_244", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0084)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 203.24 kg\n Factor of Safety: 1.28\n Max Deflection: 7.83e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.2436375952255, + "fos_buckling": 1.2810941518069952, + "fos_yielding": 3.4190606024124612, + "deflection": 0.007825535872027624, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_243", + "improvement_over_parent": null + }, + "node_245": { + "node_id": "node_245", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0097)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 232.56 kg\n Factor of Safety: 1.44\n Max Deflection: 6.86e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.56443246126372, + "fos_buckling": 1.44065314228209, + "fos_yielding": 3.918392603121811, + "deflection": 0.006860568120418932, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_244", + "improvement_over_parent": null + }, + "node_246": { + "node_id": "node_246", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_245", + "improvement_over_parent": null + }, + "node_247": { + "node_id": "node_247", + "content": "INITIAL DESIGN (Trace 35)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 142.30 kg\n Factor of Safety: 0.33\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.29884313540893, + "fos_buckling": 0.33188067114795944, + "fos_yielding": 2.994550637337255, + "deflection": 0.01780358915762563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_248": { + "node_id": "node_248", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 167.71 kg\n Factor of Safety: 1.09\n Max Deflection: 9.32e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.7134362564741, + "fos_buckling": 1.0875547680213256, + "fos_yielding": 3.6205979334924754, + "deflection": 0.009315679714453866, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006176)" + }, + "parent_node_id": "node_247", + "improvement_over_parent": null + }, + "node_249": { + "node_id": "node_249", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 216.50 kg\n Factor of Safety: 1.36\n Max Deflection: 7.26e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.49766753870063, + "fos_buckling": 1.3638493048112605, + "fos_yielding": 4.661335098888119, + "deflection": 0.007256685047548236, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_248", + "improvement_over_parent": null + }, + "node_250": { + "node_id": "node_250", + "content": "MODIFICATION: Increase 3 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 223.76 kg\n Factor of Safety: 1.49\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": 223.7612806825028, + "fos_buckling": 1.4861122472408985, + "fos_yielding": 4.603300001598195, + "deflection": 0.007060675504296707, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.553)" + }, + "parent_node_id": "node_249", + "improvement_over_parent": null + }, + "node_251": { + "node_id": "node_251", + "content": "MODIFICATION: Increase 2 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.62707447527401, + "fos_buckling": 1.5260406217241247, + "fos_yielding": 4.603969459432116, + "deflection": 0.006969159508889781, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.233)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\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_254": { + "node_id": "node_254", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n\nPerformance:\n Mass: 156.02 kg\n Factor of Safety: 0.79\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": 156.02094098907563, + "fos_buckling": 0.7933206438409623, + "fos_yielding": 3.5492099593882305, + "deflection": 0.011353218005854973, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005202)" + }, + "parent_node_id": "node_253", + "improvement_over_parent": null + }, + "node_255": { + "node_id": "node_255", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 201.94 kg\n Factor of Safety: 0.98\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": 201.9359090602831, + "fos_buckling": 0.980638615263609, + "fos_yielding": 4.58604450517204, + "deflection": 0.008820628670249731, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_254", + "improvement_over_parent": null + }, + "node_256": { + "node_id": "node_256", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.55 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5524379695777, + "fos_buckling": 1.5255062872233136, + "fos_yielding": 4.602432600103439, + "deflection": 0.006971452067394178, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_255", + "improvement_over_parent": null + }, + "node_257": { + "node_id": "node_257", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_256", + "improvement_over_parent": null + }, + "node_258": { + "node_id": "node_258", + "content": "INITIAL DESIGN (Trace 37)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0013)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n Mass: 102.84 kg\n Factor of Safety: 0.62\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 102.83636101250129, + "fos_buckling": 0.6239662703226825, + "fos_yielding": 3.008977672371487, + "deflection": 0.018141108161044524, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_259": { + "node_id": "node_259", + "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n Mass: 103.02 kg\n Factor of Safety: 0.62\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": 103.01884888737551, + "fos_buckling": 0.6239360823213183, + "fos_yielding": 3.008977672371487, + "deflection": 0.01813808179001784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.215)" + }, + "parent_node_id": "node_258", + "improvement_over_parent": null + }, + "node_260": { + "node_id": "node_260", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 114.61 kg\n Factor of Safety: 0.69\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 114.60602105338995, + "fos_buckling": 0.6854454858520894, + "fos_yielding": 3.3468506244053575, + "deflection": 0.01633037712851579, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_259", + "improvement_over_parent": null + }, + "node_261": { + "node_id": "node_261", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n\nPerformance:\n Mass: 131.25 kg\n Factor of Safety: 0.70\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.2543182423186, + "fos_buckling": 0.7002024543255788, + "fos_yielding": 3.3468506244053575, + "deflection": 0.01332187326207851, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004524)" + }, + "parent_node_id": "node_260", + "improvement_over_parent": null + }, + "node_262": { + "node_id": "node_262", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n Mass: 147.58 kg\n Factor of Safety: 1.01\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.5760722740342, + "fos_buckling": 1.0106474585969678, + "fos_yielding": 3.007253549248275, + "deflection": 0.010748666334359086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004479)" + }, + "parent_node_id": "node_261", + "improvement_over_parent": null + }, + "node_263": { + "node_id": "node_263", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 188.00 kg\n Factor of Safety: 1.26\n Max Deflection: 8.47e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.000426989813, + "fos_buckling": 1.2640958184942488, + "fos_yielding": 3.8254572029366383, + "deflection": 0.008474040231627093, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_262", + "improvement_over_parent": null + }, + "node_264": { + "node_id": "node_264", + "content": "MODIFICATION: Increase 5 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 188.46 kg\n Factor of Safety: 1.31\n Max Deflection: 8.38e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.4591568633849, + "fos_buckling": 1.3082756964834608, + "fos_yielding": 3.8170613540767233, + "deflection": 0.008380503754800084, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.326)" + }, + "parent_node_id": "node_263", + "improvement_over_parent": null + }, + "node_265": { + "node_id": "node_265", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.42 kg\n Factor of Safety: 1.52\n Max Deflection: 6.98e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.41882768017715, + "fos_buckling": 1.524832114786958, + "fos_yielding": 4.600077553696994, + "deflection": 0.0069753068866903025, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_264", + "improvement_over_parent": null + }, + "node_266": { + "node_id": "node_266", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_265", + "improvement_over_parent": null + }, + "node_267": { + "node_id": "node_267", + "content": "INITIAL DESIGN (Trace 38)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_268": { + "node_id": "node_268", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n\nPerformance:\n Mass: 117.45 kg\n Factor of Safety: 0.64\n Max Deflection: 7.65e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.44754437220644, + "fos_buckling": 0.6391656742229096, + "fos_yielding": 3.6548753404219045, + "deflection": 7652152341716.359, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003772)" + }, + "parent_node_id": "node_267", + "improvement_over_parent": null + }, + "node_269": { + "node_id": "node_269", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n\nPerformance:\n Mass: 144.36 kg\n Factor of Safety: 0.85\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": 144.35656658999463, + "fos_buckling": 0.845973191580061, + "fos_yielding": 4.278130729838692, + "deflection": 0.012831601512842935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006612)" + }, + "parent_node_id": "node_268", + "improvement_over_parent": null + }, + "node_270": { + "node_id": "node_270", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 165.22 kg\n Factor of Safety: 0.84\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.22398164075867, + "fos_buckling": 0.8436518022900434, + "fos_yielding": 3.8590494895860767, + "deflection": 0.010796901424753223, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005823)" + }, + "parent_node_id": "node_269", + "improvement_over_parent": null + }, + "node_271": { + "node_id": "node_271", + "content": "MODIFICATION: Increase 2 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0062)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 166.77 kg\n Factor of Safety: 0.84\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.76951279907271, + "fos_buckling": 0.8436518022900434, + "fos_yielding": 3.8590494895860767, + "deflection": 0.010796901424753223, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.477)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0062)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n\nPerformance:\n Mass: 185.12 kg\n Factor of Safety: 1.19\n Max Deflection: 8.47e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.1216979129871, + "fos_buckling": 1.1926391614312684, + "fos_yielding": 3.8728353217173397, + "deflection": 0.008465160584143757, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005627)" + }, + "parent_node_id": "node_271", + "improvement_over_parent": null + }, + "node_273": { + "node_id": "node_273", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0076)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 222.91 kg\n Factor of Safety: 1.40\n Max Deflection: 7.06e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.90972341878128, + "fos_buckling": 1.4036913020432549, + "fos_yielding": 4.656525145002173, + "deflection": 0.00705997777772712, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_272", + "improvement_over_parent": null + }, + "node_274": { + "node_id": "node_274", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_273", + "improvement_over_parent": null + }, + "node_275": { + "node_id": "node_275", + "content": "INITIAL DESIGN (Trace 39)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0011)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 136.62 kg\n Factor of Safety: 0.75\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.62185561801311, + "fos_buckling": 0.753355950396197, + "fos_yielding": 2.614050798593432, + "deflection": 0.012737706640151128, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_276": { + "node_id": "node_276", + "content": "MODIFICATION: Increase 5 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 136.94 kg\n Factor of Safety: 0.75\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": 136.93829888685826, + "fos_buckling": 0.7532930292269399, + "fos_yielding": 2.606616830682797, + "deflection": 0.012685855584377018, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.456)" + }, + "parent_node_id": "node_275", + "improvement_over_parent": null + }, + "node_277": { + "node_id": "node_277", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n\nPerformance:\n Mass: 154.68 kg\n Factor of Safety: 0.89\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": 154.68440470798117, + "fos_buckling": 0.8937126615123954, + "fos_yielding": 2.6247001504025707, + "deflection": 0.010364546828002086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004895)" + }, + "parent_node_id": "node_276", + "improvement_over_parent": null + }, + "node_278": { + "node_id": "node_278", + "content": "MODIFICATION: Increase 5 thickness by 67%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n\nPerformance:\n Mass: 155.33 kg\n Factor of Safety: 0.89\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": 155.33424896956092, + "fos_buckling": 0.8891181819367795, + "fos_yielding": 2.6112068524417547, + "deflection": 0.010166982800510828, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.667)" + }, + "parent_node_id": "node_277", + "improvement_over_parent": null + }, + "node_279": { + "node_id": "node_279", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 182.20 kg\n Factor of Safety: 1.03\n Max Deflection: 8.69e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.20486032648358, + "fos_buckling": 1.0308056350143702, + "fos_yielding": 3.070055825234579, + "deflection": 0.008693183601387138, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_278", + "improvement_over_parent": null + }, + "node_280": { + "node_id": "node_280", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 219.98 kg\n Factor of Safety: 1.22\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.97508150925069, + "fos_buckling": 1.2238531828584804, + "fos_yielding": 3.7195833779805, + "deflection": 0.007230273870882479, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_279", + "improvement_over_parent": null + }, + "node_281": { + "node_id": "node_281", + "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 221.37 kg\n Factor of Safety: 1.46\n Max Deflection: 7.12e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.3676298351498, + "fos_buckling": 1.4619523933705665, + "fos_yielding": 4.602142000796674, + "deflection": 0.0071176060931266005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.513)" + }, + "parent_node_id": "node_280", + "improvement_over_parent": null + }, + "node_282": { + "node_id": "node_282", + "content": "MODIFICATION: Increase 8 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.57 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.57312293105298, + "fos_buckling": 1.525707772193799, + "fos_yielding": 4.603128385697091, + "deflection": 0.0069706860625480625, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.351)" + }, + "parent_node_id": "node_281", + "improvement_over_parent": null + }, + "node_283": { + "node_id": "node_283", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_282", + "improvement_over_parent": null + }, + "node_284": { + "node_id": "node_284", + "content": "INITIAL DESIGN (Trace 40)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0025)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 146.31 kg\n Factor of Safety: 0.52\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.31431603247694, + "fos_buckling": 0.5173717051074341, + "fos_yielding": 3.320656332750962, + "deflection": 0.019802679142665345, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_285": { + "node_id": "node_285", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0032)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 181.62 kg\n Factor of Safety: 0.62\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.62257711321354, + "fos_buckling": 0.6173232885226531, + "fos_yielding": 4.145339233964017, + "deflection": 0.015946600551833615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_284", + "improvement_over_parent": null + }, + "node_286": { + "node_id": "node_286", + "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 185.96 kg\n Factor of Safety: 0.62\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.9562192721085, + "fos_buckling": 0.6169723962448803, + "fos_yielding": 4.267670976304974, + "deflection": 0.013925214942309834, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.383)" + }, + "parent_node_id": "node_285", + "improvement_over_parent": null + }, + "node_287": { + "node_id": "node_287", + "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 195.30 kg\n Factor of Safety: 0.62\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": 195.29870843883276, + "fos_buckling": 0.6162172960385418, + "fos_yielding": 4.262688386149065, + "deflection": 0.011897502965408532, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.629)" + }, + "parent_node_id": "node_286", + "improvement_over_parent": null + }, + "node_288": { + "node_id": "node_288", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.69 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.69232807895105, + "fos_buckling": 1.526345690627966, + "fos_yielding": 4.605593275269977, + "deflection": 0.006967233462396182, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_287", + "improvement_over_parent": null + }, + "node_289": { + "node_id": "node_289", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_288", + "improvement_over_parent": null + }, + "node_290": { + "node_id": "node_290", + "content": "INITIAL DESIGN (Trace 41)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 156.75 kg\n Factor of Safety: 1.09\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": 156.74700771263025, + "fos_buckling": 1.0889794932700816, + "fos_yielding": 3.0657156730601076, + "deflection": 0.010238816519405534, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_291": { + "node_id": "node_291", + "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 161.89 kg\n Factor of Safety: 1.09\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": 161.89299885430785, + "fos_buckling": 1.0906462847817684, + "fos_yielding": 3.098161510438176, + "deflection": 0.009848043779240962, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.318)" + }, + "parent_node_id": "node_290", + "improvement_over_parent": null + }, + "node_292": { + "node_id": "node_292", + "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 166.25 kg\n Factor of Safety: 1.09\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": 166.24958616010503, + "fos_buckling": 1.088616523907467, + "fos_yielding": 3.074951611413589, + "deflection": 0.009702644180219083, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.299)" + }, + "parent_node_id": "node_291", + "improvement_over_parent": null + }, + "node_293": { + "node_id": "node_293", + "content": "MODIFICATION: Increase 0 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 172.81 kg\n Factor of Safety: 1.01\n Max Deflection: 9.31e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.8063992614048, + "fos_buckling": 1.0109734163759605, + "fos_yielding": 3.0731581508527315, + "deflection": 0.009308358615182784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.449)" + }, + "parent_node_id": "node_292", + "improvement_over_parent": null + }, + "node_294": { + "node_id": "node_294", + "content": "MODIFICATION: Increase 7 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 180.60 kg\n Factor of Safety: 1.17\n Max Deflection: 8.78e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.596092952209, + "fos_buckling": 1.1657344331190442, + "fos_yielding": 3.070890666745156, + "deflection": 0.00878248537507603, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.464)" + }, + "parent_node_id": "node_293", + "improvement_over_parent": null + }, + "node_295": { + "node_id": "node_295", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 226.67 kg\n Factor of Safety: 1.42\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": 226.67431996666585, + "fos_buckling": 1.4231504269480681, + "fos_yielding": 3.862152063045473, + "deflection": 0.007032576612220782, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_294", + "improvement_over_parent": null + }, + "node_296": { + "node_id": "node_296", + "content": "MODIFICATION: Increase 6 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.50 kg\n Factor of Safety: 1.52\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.49730946099095, + "fos_buckling": 1.5249484141639997, + "fos_yielding": 4.601897517937465, + "deflection": 0.006972880795723808, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.215)" + }, + "parent_node_id": "node_295", + "improvement_over_parent": null + }, + "node_297": { + "node_id": "node_297", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_296", + "improvement_over_parent": null + }, + "node_298": { + "node_id": "node_298", + "content": "INITIAL DESIGN (Trace 42)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0021)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0025)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0023)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0037)]\n\nPerformance:\n Mass: 98.83 kg\n Factor of Safety: 0.65\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 98.82578128784347, + "fos_buckling": 0.6488524900403934, + "fos_yielding": 2.2520040745937, + "deflection": 0.01608175408381391, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_299": { + "node_id": "node_299", + "content": "MODIFICATION: Increase 0 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0025)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0023)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0037)]\n\nPerformance:\n Mass: 104.05 kg\n Factor of Safety: 0.78\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 104.05437115028991, + "fos_buckling": 0.7758638234215133, + "fos_yielding": 2.2502077500827378, + "deflection": 0.01485763965884297, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.661)" + }, + "parent_node_id": "node_298", + "improvement_over_parent": null + }, + "node_300": { + "node_id": "node_300", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n Mass: 130.69 kg\n Factor of Safety: 0.95\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.6920424218786, + "fos_buckling": 0.9518283729178381, + "fos_yielding": 2.822314509850198, + "deflection": 0.011866167502428544, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_299", + "improvement_over_parent": null + }, + "node_301": { + "node_id": "node_301", + "content": "MODIFICATION: Increase 9 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n Mass: 134.95 kg\n Factor of Safety: 0.97\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.9508039173549, + "fos_buckling": 0.9672860338684024, + "fos_yielding": 2.792819406579335, + "deflection": 0.011587095482286388, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.410)" + }, + "parent_node_id": "node_300", + "improvement_over_parent": null + }, + "node_302": { + "node_id": "node_302", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 176.27 kg\n Factor of Safety: 1.22\n Max Deflection: 8.91e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.2665822089269, + "fos_buckling": 1.2186695765598519, + "fos_yielding": 3.641623461810974, + "deflection": 0.008913018269756883, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_301", + "improvement_over_parent": null + }, + "node_303": { + "node_id": "node_303", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 222.92 kg\n Factor of Safety: 1.48\n Max Deflection: 7.09e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.918577103749, + "fos_buckling": 1.4779239689096442, + "fos_yielding": 4.596456730149461, + "deflection": 0.007085119119852465, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_302", + "improvement_over_parent": null + }, + "node_304": { + "node_id": "node_304", + "content": "MODIFICATION: Increase 2 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.30 kg\n Factor of Safety: 1.52\n Max Deflection: 6.98e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.2980744867055, + "fos_buckling": 1.5241922519003563, + "fos_yielding": 4.597237475209159, + "deflection": 0.00697894282080586, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.272)" + }, + "parent_node_id": "node_303", + "improvement_over_parent": null + }, + "node_305": { + "node_id": "node_305", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_304", + "improvement_over_parent": null + }, + "node_306": { + "node_id": "node_306", + "content": "INITIAL DESIGN (Trace 43)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 130.85 kg\n Factor of Safety: 0.70\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.84949834231284, + "fos_buckling": 0.7045897162981125, + "fos_yielding": 3.3901184525923465, + "deflection": 0.016783931002378658, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_307": { + "node_id": "node_307", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n\nPerformance:\n Mass: 132.42 kg\n Factor of Safety: 0.71\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": 132.4196990960393, + "fos_buckling": 0.7082441178060846, + "fos_yielding": 3.3901184525923465, + "deflection": 0.013914069429601, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002414)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n\nPerformance:\n Mass: 146.68 kg\n Factor of Safety: 1.08\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.68413212858897, + "fos_buckling": 1.0761628402095054, + "fos_yielding": 3.01682764689528, + "deflection": 0.010792533706709614, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004347)" + }, + "parent_node_id": "node_307", + "improvement_over_parent": null + }, + "node_309": { + "node_id": "node_309", + "content": "MODIFICATION: Increase 1 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n\nPerformance:\n Mass: 149.90 kg\n Factor of Safety: 1.08\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": 149.89860978208492, + "fos_buckling": 1.0759482218093204, + "fos_yielding": 3.039803145918368, + "deflection": 0.010490586260347032, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.221)" + }, + "parent_node_id": "node_308", + "improvement_over_parent": null + }, + "node_310": { + "node_id": "node_310", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n\nPerformance:\n Mass: 177.17 kg\n Factor of Safety: 1.24\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": 177.16903545540916, + "fos_buckling": 1.2420128287121055, + "fos_yielding": 3.5895029845681927, + "deflection": 0.008903233772224546, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_309", + "improvement_over_parent": null + }, + "node_311": { + "node_id": "node_311", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.53 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.52952187320807, + "fos_buckling": 1.5252785236775879, + "fos_yielding": 4.60197301819836, + "deflection": 0.006972016141065004, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_310", + "improvement_over_parent": null + }, + "node_312": { + "node_id": "node_312", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_311", + "improvement_over_parent": null + }, + "node_313": { + "node_id": "node_313", + "content": "INITIAL DESIGN (Trace 44)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0039)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0034)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0016)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0041)]\n\nPerformance:\n Mass: 117.79 kg\n Factor of Safety: 0.63\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": 117.79411250845101, + "fos_buckling": 0.6291342739291501, + "fos_yielding": 1.8047130834793144, + "deflection": 0.013497659489127506, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_314": { + "node_id": "node_314", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0019)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n Mass: 142.01 kg\n Factor of Safety: 0.75\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": 142.01382879711792, + "fos_buckling": 0.751764113937374, + "fos_yielding": 2.180944479454769, + "deflection": 0.011224445826380325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_313", + "improvement_over_parent": null + }, + "node_315": { + "node_id": "node_315", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n Mass: 167.69 kg\n Factor of Safety: 0.88\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": 167.69007599659992, + "fos_buckling": 0.8792504460677281, + "fos_yielding": 2.582099974889813, + "deflection": 0.009531535900030544, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_314", + "improvement_over_parent": null + }, + "node_316": { + "node_id": "node_316", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 195.45 kg\n Factor of Safety: 1.01\n Max Deflection: 8.20e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.44662478016963, + "fos_buckling": 1.0141425570917708, + "fos_yielding": 3.018661555261011, + "deflection": 0.008201723461351467, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_315", + "improvement_over_parent": null + }, + "node_317": { + "node_id": "node_317", + "content": "MODIFICATION: Increase 4 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 196.79 kg\n Factor of Safety: 1.36\n Max Deflection: 8.03e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.7887437119742, + "fos_buckling": 1.35611329310407, + "fos_yielding": 3.9845370724840325, + "deflection": 0.00803338360029943, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.595)" + }, + "parent_node_id": "node_316", + "improvement_over_parent": null + }, + "node_318": { + "node_id": "node_318", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.60 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.60034447857763, + "fos_buckling": 1.5258217712831674, + "fos_yielding": 4.603599097707982, + "deflection": 0.006969948262104243, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_317", + "improvement_over_parent": null + }, + "node_319": { + "node_id": "node_319", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_318", + "improvement_over_parent": null + }, + "node_320": { + "node_id": "node_320", + "content": "INITIAL DESIGN (Trace 45)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\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_321": { + "node_id": "node_321", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 154.31 kg\n Factor of Safety: 0.82\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.30745952115902, + "fos_buckling": 0.8171864084837114, + "fos_yielding": 4.001806878711345, + "deflection": 0.011553303617465763, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005423)" + }, + "parent_node_id": "node_320", + "improvement_over_parent": null + }, + "node_322": { + "node_id": "node_322", + "content": "MODIFICATION: Increase 4 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 154.99 kg\n Factor of Safety: 0.82\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": 154.99179771475494, + "fos_buckling": 0.8170391406149943, + "fos_yielding": 4.001806878711345, + "deflection": 0.01149280754553045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.626)" + }, + "parent_node_id": "node_321", + "improvement_over_parent": null + }, + "node_323": { + "node_id": "node_323", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n\nPerformance:\n Mass: 171.83 kg\n Factor of Safety: 1.24\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": 171.83414679154927, + "fos_buckling": 1.2391613108327957, + "fos_yielding": 3.5878911901833566, + "deflection": 0.009278032024780107, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005189)" + }, + "parent_node_id": "node_322", + "improvement_over_parent": null + }, + "node_324": { + "node_id": "node_324", + "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n\nPerformance:\n Mass: 176.98 kg\n Factor of Safety: 1.24\n Max Deflection: 8.91e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.98069880052154, + "fos_buckling": 1.2411238205478583, + "fos_yielding": 3.5860540213640277, + "deflection": 0.008912610653959685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.333)" + }, + "parent_node_id": "node_323", + "improvement_over_parent": null + }, + "node_325": { + "node_id": "node_325", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6086324080347, + "fos_buckling": 1.5259643415667061, + "fos_yielding": 4.603990430765897, + "deflection": 0.00696972579941684, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_324", + "improvement_over_parent": null + }, + "node_326": { + "node_id": "node_326", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_325", + "improvement_over_parent": null + }, + "node_327": { + "node_id": "node_327", + "content": "INITIAL DESIGN (Trace 46)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n\nPerformance:\n Mass: 99.88 kg\n Factor of Safety: 1.26\n Max Deflection: 2.31e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 99.88152661752915, + "fos_buckling": 1.2566761408463438, + "fos_yielding": 3.278884660294276, + "deflection": 23073010903034.977, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_328": { + "node_id": "node_328", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n\nPerformance:\n Mass: 113.03 kg\n Factor of Safety: 0.39\n Max Deflection: 2.04e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.0254344967569, + "fos_buckling": 0.3889803611584944, + "fos_yielding": 2.346509599369331, + "deflection": 0.02038291568260926, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003987)" + }, + "parent_node_id": "node_327", + "improvement_over_parent": null + }, + "node_329": { + "node_id": "node_329", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n\nPerformance:\n Mass: 143.72 kg\n Factor of Safety: 0.48\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.71584800803046, + "fos_buckling": 0.47877801702205286, + "fos_yielding": 2.977471050988411, + "deflection": 0.016086222067814432, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_328", + "improvement_over_parent": null + }, + "node_330": { + "node_id": "node_330", + "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0075)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n\nPerformance:\n Mass: 150.55 kg\n Factor of Safety: 0.48\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.54546916002374, + "fos_buckling": 0.47834722392368495, + "fos_yielding": 2.976804052945188, + "deflection": 0.01589404287323773, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.381)" + }, + "parent_node_id": "node_329", + "improvement_over_parent": null + }, + "node_331": { + "node_id": "node_331", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0099)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 194.96 kg\n Factor of Safety: 0.59\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.95738210991703, + "fos_buckling": 0.5921345797328963, + "fos_yielding": 3.849879604442599, + "deflection": 0.012319581218884051, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_330", + "improvement_over_parent": null + }, + "node_332": { + "node_id": "node_332", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0099)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.73 kg\n Factor of Safety: 1.34\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": 227.73497685280253, + "fos_buckling": 1.338269959222331, + "fos_yielding": 4.606094656436877, + "deflection": 0.007149586581944058, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_331", + "improvement_over_parent": null + }, + "node_333": { + "node_id": "node_333", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_332", + "improvement_over_parent": null + }, + "node_334": { + "node_id": "node_334", + "content": "INITIAL DESIGN (Trace 47)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (6 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\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_335": { + "node_id": "node_335", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 120.84 kg\n Factor of Safety: 0.79\n Max Deflection: 9.14e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.84461954858247, + "fos_buckling": 0.7914292349413141, + "fos_yielding": 2.2906339293514786, + "deflection": 914446227825115.2, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006477)" + }, + "parent_node_id": "node_334", + "improvement_over_parent": null + }, + "node_336": { + "node_id": "node_336", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 149.02 kg\n Factor of Safety: 0.43\n Max Deflection: 1.11e+14 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.02136887070446, + "fos_buckling": 0.42680786322702935, + "fos_yielding": 4.811388226851922, + "deflection": 111356221974392.67, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.256)" + }, + "parent_node_id": "node_335", + "improvement_over_parent": null + }, + "node_337": { + "node_id": "node_337", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 181.41 kg\n Factor of Safety: 1.00\n Max Deflection: 6.05e+11 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.41498851082275, + "fos_buckling": 0.9980313759419748, + "fos_yielding": 5.145527068782102, + "deflection": 605365116832.3315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_336", + "improvement_over_parent": null + }, + "node_338": { + "node_id": "node_338", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 203.51 kg\n Factor of Safety: 1.00\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.50613663948306, + "fos_buckling": 1.0039392882441345, + "fos_yielding": 5.141001386626411, + "deflection": 0.010572922818349118, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_337", + "improvement_over_parent": null + }, + "node_339": { + "node_id": "node_339", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 225.17 kg\n Factor of Safety: 1.00\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.16543291633047, + "fos_buckling": 0.9996381459255399, + "fos_yielding": 5.120132446943687, + "deflection": 0.010603729519937306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_338", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.55 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.55011522791662, + "fos_buckling": 1.525443418429428, + "fos_yielding": 4.601650808115341, + "deflection": 0.006971506080535441, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_339", + "improvement_over_parent": null + }, + "node_341": { + "node_id": "node_341", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_340", + "improvement_over_parent": null + }, + "node_342": { + "node_id": "node_342", + "content": "INITIAL DESIGN (Trace 48)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0024)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0024)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0021)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0021)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0016)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0017)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0022)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0025)]\n\nPerformance:\n Mass: 65.63 kg\n Factor of Safety: 0.37\n Max Deflection: 3.19e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 65.63343744618888, + "fos_buckling": 0.3679235783474431, + "fos_yielding": 1.6891320173447215, + "deflection": 0.03192941837307332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_343": { + "node_id": "node_343", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0024)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0024)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0021)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0021)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0016)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0017)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0022)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0025)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0022)]\n\nPerformance:\n Mass: 74.06 kg\n Factor of Safety: 0.37\n Max Deflection: 3.19e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 74.05515528664074, + "fos_buckling": 0.3720727777463326, + "fos_yielding": 1.6947035622626856, + "deflection": 0.0319273197112313, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.002226)" + }, + "parent_node_id": "node_342", + "improvement_over_parent": null + }, + "node_344": { + "node_id": "node_344", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0024)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0024)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0021)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0021)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0016)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0017)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0022)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0025)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0022)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0012)]\n\nPerformance:\n Mass: 74.84 kg\n Factor of Safety: 0.57\n Max Deflection: 2.08e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 74.83949238441997, + "fos_buckling": 0.5721671171819401, + "fos_yielding": 1.5216075277247272, + "deflection": 0.02083331070688059, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.001172)" + }, + "parent_node_id": "node_343", + "improvement_over_parent": null + }, + "node_345": { + "node_id": "node_345", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0031)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0027)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0027)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0020)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0022)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0032)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0028)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n\nPerformance:\n Mass: 94.51 kg\n Factor of Safety: 0.71\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 94.51066078637338, + "fos_buckling": 0.7109307577618473, + "fos_yielding": 1.9202693479764197, + "deflection": 0.016534169223012884, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_344", + "improvement_over_parent": null + }, + "node_346": { + "node_id": "node_346", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0042)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n\nPerformance:\n Mass: 124.47 kg\n Factor of Safety: 0.91\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.47122874852748, + "fos_buckling": 0.9131077980581284, + "fos_yielding": 2.5264360022584267, + "deflection": 0.012597186820129468, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_345", + "improvement_over_parent": null + }, + "node_347": { + "node_id": "node_347", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n\nPerformance:\n Mass: 157.75 kg\n Factor of Safety: 1.12\n Max Deflection: 9.98e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.74800380705062, + "fos_buckling": 1.1248070236093815, + "fos_yielding": 3.1982526839774477, + "deflection": 0.009977366064484646, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_346", + "improvement_over_parent": null + }, + "node_348": { + "node_id": "node_348", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n\nPerformance:\n Mass: 195.84 kg\n Factor of Safety: 1.35\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": 195.8355332309483, + "fos_buckling": 1.3506935666257844, + "fos_yielding": 3.965333798319204, + "deflection": 0.008071507737494887, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_347", + "improvement_over_parent": null + }, + "node_349": { + "node_id": "node_349", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.74 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.7448500728764, + "fos_buckling": 1.526602973882308, + "fos_yielding": 4.6064639624459875, + "deflection": 0.006965544732763024, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_348", + "improvement_over_parent": null + }, + "node_350": { + "node_id": "node_350", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_349", + "improvement_over_parent": null + }, + "node_351": { + "node_id": "node_351", + "content": "INITIAL DESIGN (Trace 49)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0031)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n\nPerformance:\n Mass: 107.35 kg\n Factor of Safety: 0.60\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.34965482206265, + "fos_buckling": 0.6037645769102019, + "fos_yielding": 2.8861609679180975, + "deflection": 0.020216459116180432, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_352": { + "node_id": "node_352", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n Mass: 120.09 kg\n Factor of Safety: 0.67\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": 120.09437464567023, + "fos_buckling": 0.6666249993613114, + "fos_yielding": 3.225021222786595, + "deflection": 0.018080912003764223, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_351", + "improvement_over_parent": null + }, + "node_353": { + "node_id": "node_353", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n\nPerformance:\n Mass: 134.01 kg\n Factor of Safety: 0.65\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.0117361880213, + "fos_buckling": 0.6532720444447989, + "fos_yielding": 3.205427739480942, + "deflection": 0.018090143898547073, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004189)" + }, + "parent_node_id": "node_352", + "improvement_over_parent": null + }, + "node_354": { + "node_id": "node_354", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n\nPerformance:\n Mass: 135.51 kg\n Factor of Safety: 1.00\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.51421768955646, + "fos_buckling": 0.9983262994593827, + "fos_yielding": 2.874098339265754, + "deflection": 0.011660621010010648, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002304)" + }, + "parent_node_id": "node_353", + "improvement_over_parent": null + }, + "node_355": { + "node_id": "node_355", + "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n\nPerformance:\n Mass: 140.79 kg\n Factor of Safety: 1.00\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.790125350726, + "fos_buckling": 0.9990508084242834, + "fos_yielding": 2.8960579360464176, + "deflection": 0.01134560547218935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.274)" + }, + "parent_node_id": "node_354", + "improvement_over_parent": null + }, + "node_356": { + "node_id": "node_356", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0084)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n Mass: 183.03 kg\n Factor of Safety: 1.25\n Max Deflection: 8.76e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.0273286197604, + "fos_buckling": 1.2520721673524124, + "fos_yielding": 3.7601743699995716, + "deflection": 0.008763259478106269, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_355", + "improvement_over_parent": null + }, + "node_357": { + "node_id": "node_357", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0104)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 223.33 kg\n Factor of Safety: 1.47\n Max Deflection: 7.21e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.33362271650645, + "fos_buckling": 1.473940605773936, + "fos_yielding": 4.582828339033687, + "deflection": 0.007209451965967886, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_356", + "improvement_over_parent": null + }, + "node_358": { + "node_id": "node_358", + "content": "MODIFICATION: Increase 1 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0104)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 230.49 kg\n Factor of Safety: 1.48\n Max Deflection: 6.87e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.48829695423908, + "fos_buckling": 1.476263331113095, + "fos_yielding": 4.643630252011354, + "deflection": 0.006866168692502219, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.372)" + }, + "parent_node_id": "node_357", + "improvement_over_parent": null + }, + "node_359": { + "node_id": "node_359", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_358", + "improvement_over_parent": null + }, + "node_360": { + "node_id": "node_360", + "content": "INITIAL DESIGN (Trace 50)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\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_361": { + "node_id": "node_361", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 163.99 kg\n Factor of Safety: 0.37\n Max Deflection: 5.61e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.9909516526237, + "fos_buckling": 0.3658414448768512, + "fos_yielding": 4.3253299757748245, + "deflection": 56059784074778.28, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_360", + "improvement_over_parent": null + }, + "node_362": { + "node_id": "node_362", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 196.77 kg\n Factor of Safety: 1.00\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": 196.7685463955092, + "fos_buckling": 1.0034300441628086, + "fos_yielding": 5.146839094320967, + "deflection": 0.010594532957045323, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_361", + "improvement_over_parent": null + }, + "node_363": { + "node_id": "node_363", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 199.15 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.15322870709534, + "fos_buckling": 1.0046482987962577, + "fos_yielding": 5.146839094320967, + "deflection": 0.008708270640444398, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_362", + "improvement_over_parent": null + }, + "node_364": { + "node_id": "node_364", + "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 202.52 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.51869400237504, + "fos_buckling": 1.0042057871231378, + "fos_yielding": 5.14532434558702, + "deflection": 0.008712005302396771, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.202)" + }, + "parent_node_id": "node_363", + "improvement_over_parent": null + }, + "node_365": { + "node_id": "node_365", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63798897987598, + "fos_buckling": 1.526035790375175, + "fos_yielding": 4.604167019764371, + "deflection": 0.006968871712746982, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_364", + "improvement_over_parent": null + }, + "node_366": { + "node_id": "node_366", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_365", + "improvement_over_parent": null + }, + "node_367": { + "node_id": "node_367", + "content": "INITIAL DESIGN (Trace 51)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n Mass: 128.85 kg\n Factor of Safety: 0.10\n Max Deflection: 1.36e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.84943686945968, + "fos_buckling": 0.0969994665385584, + "fos_yielding": 1.0283114153712842, + "deflection": 136295163150346.62, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_368": { + "node_id": "node_368", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n\nPerformance:\n Mass: 145.52 kg\n Factor of Safety: 0.40\n Max Deflection: 4.61e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.51688705938435, + "fos_buckling": 0.4028947353167916, + "fos_yielding": 3.2255914388557616, + "deflection": 0.04614726714624471, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005074)" + }, + "parent_node_id": "node_367", + "improvement_over_parent": null + }, + "node_369": { + "node_id": "node_369", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n\nPerformance:\n Mass: 169.96 kg\n Factor of Safety: 0.79\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.9586999930661, + "fos_buckling": 0.7904920741431579, + "fos_yielding": 3.874263635956669, + "deflection": 0.013997835134230583, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005963)" + }, + "parent_node_id": "node_368", + "improvement_over_parent": null + }, + "node_370": { + "node_id": "node_370", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n\nPerformance:\n Mass: 195.09 kg\n Factor of Safety: 0.89\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.08821009533048, + "fos_buckling": 0.8884539181423818, + "fos_yielding": 4.442557044472357, + "deflection": 0.012214446113170432, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_369", + "improvement_over_parent": null + }, + "node_371": { + "node_id": "node_371", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 225.28 kg\n Factor of Safety: 1.00\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.2770365195543, + "fos_buckling": 0.9997873613348129, + "fos_yielding": 5.12373170260957, + "deflection": 0.010598098467147562, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_370", + "improvement_over_parent": null + }, + "node_372": { + "node_id": "node_372", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n\nPerformance:\n Mass: 227.33 kg\n Factor of Safety: 1.52\n Max Deflection: 7.01e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.32578745656124, + "fos_buckling": 1.5170900236134106, + "fos_yielding": 4.610416515139735, + "deflection": 0.007010313822477817, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003209)" + }, + "parent_node_id": "node_371", + "improvement_over_parent": null + }, + "node_373": { + "node_id": "node_373", + "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0085)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n\nPerformance:\n Mass: 231.47 kg\n Factor of Safety: 1.52\n Max Deflection: 6.94e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 231.46500555253184, + "fos_buckling": 1.5150308712116491, + "fos_yielding": 4.610910634827808, + "deflection": 0.006940444401128472, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.181)" + }, + "parent_node_id": "node_372", + "improvement_over_parent": null + }, + "node_374": { + "node_id": "node_374", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_373", + "improvement_over_parent": null + }, + "node_375": { + "node_id": "node_375", + "content": "INITIAL DESIGN (Trace 52)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n Mass: 98.97 kg\n Factor of Safety: 0.34\n Max Deflection: 2.32e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 98.96749426192714, + "fos_buckling": 0.3442449538202925, + "fos_yielding": 2.1732018011154577, + "deflection": 0.023226287042211007, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_376": { + "node_id": "node_376", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n\nPerformance:\n Mass: 115.39 kg\n Factor of Safety: 0.85\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.38736408822885, + "fos_buckling": 0.8529697855555123, + "fos_yielding": 2.3428127467132462, + "deflection": 0.01357504460967741, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.003918)" + }, + "parent_node_id": "node_375", + "improvement_over_parent": null + }, + "node_377": { + "node_id": "node_377", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n\nPerformance:\n Mass: 128.03 kg\n Factor of Safety: 0.94\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": 128.0348079736604, + "fos_buckling": 0.9364193078556237, + "fos_yielding": 2.598488717378373, + "deflection": 0.012251663231100492, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_376", + "improvement_over_parent": null + }, + "node_378": { + "node_id": "node_378", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n\nPerformance:\n Mass: 151.72 kg\n Factor of Safety: 1.09\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.71570471919048, + "fos_buckling": 1.087424219998925, + "fos_yielding": 3.0766227698906987, + "deflection": 0.010367111268752154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_377", + "improvement_over_parent": null + }, + "node_379": { + "node_id": "node_379", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n\nPerformance:\n Mass: 198.00 kg\n Factor of Safety: 1.36\n Max Deflection: 7.99e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.9951318871881, + "fos_buckling": 1.3629752274070421, + "fos_yielding": 4.008822640169027, + "deflection": 0.007985496631121684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.330)" + }, + "parent_node_id": "node_378", + "improvement_over_parent": null + }, + "node_380": { + "node_id": "node_380", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.55 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.55292234230097, + "fos_buckling": 1.5255744792846453, + "fos_yielding": 4.60267295619015, + "deflection": 0.006971343336338229, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_379", + "improvement_over_parent": null + }, + "node_381": { + "node_id": "node_381", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_380", + "improvement_over_parent": null + }, + "node_382": { + "node_id": "node_382", + "content": "INITIAL DESIGN (Trace 53)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\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_383": { + "node_id": "node_383", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 170.38 kg\n Factor of Safety: 0.36\n Max Deflection: 2.75e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.3799147466904, + "fos_buckling": 0.35873374033720146, + "fos_yielding": 5.1190383372850725, + "deflection": 27535149887326.105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 192.47 kg\n Factor of Safety: 0.50\n Max Deflection: 3.54e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.4710628753507, + "fos_buckling": 0.49822031017249724, + "fos_yielding": 3.852042209228722, + "deflection": 0.035404437821625744, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_383", + "improvement_over_parent": null + }, + "node_385": { + "node_id": "node_385", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 225.25 kg\n Factor of Safety: 1.00\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": 225.2486576182362, + "fos_buckling": 0.9997102570374362, + "fos_yielding": 5.122975200559008, + "deflection": 0.01059945232730694, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_384", + "improvement_over_parent": null + }, + "node_386": { + "node_id": "node_386", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63333992982234, + "fos_buckling": 1.525980137364587, + "fos_yielding": 4.6042030581550275, + "deflection": 0.006968962549976942, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_385", + "improvement_over_parent": null + }, + "node_387": { + "node_id": "node_387", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_386", + "improvement_over_parent": null + }, + "node_388": { + "node_id": "node_388", + "content": "INITIAL DESIGN (Trace 54)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 197.05 kg\n Factor of Safety: 0.98\n Max Deflection: 8.91e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.0472617129284, + "fos_buckling": 0.9814655902065823, + "fos_yielding": 4.6149383034356966, + "deflection": 0.008911028998805913, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_389": { + "node_id": "node_389", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n\nPerformance:\n Mass: 218.96 kg\n Factor of Safety: 1.39\n Max Deflection: 7.20e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.96280096672493, + "fos_buckling": 1.3948236971649342, + "fos_yielding": 4.326968222902116, + "deflection": 0.007201270775616972, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006070)" + }, + "parent_node_id": "node_388", + "improvement_over_parent": null + }, + "node_390": { + "node_id": "node_390", + "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n\nPerformance:\n Mass: 219.84 kg\n Factor of Safety: 1.49\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": 219.8418192023337, + "fos_buckling": 1.4882407418607193, + "fos_yielding": 4.630192319478253, + "deflection": 0.007137680008465831, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.276)" + }, + "parent_node_id": "node_389", + "improvement_over_parent": null + }, + "node_391": { + "node_id": "node_391", + "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0070)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n\nPerformance:\n Mass: 223.39 kg\n Factor of Safety: 1.49\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": 223.391709819312, + "fos_buckling": 1.491495404642035, + "fos_yielding": 4.606845845830622, + "deflection": 0.007059697537351758, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.185)" + }, + "parent_node_id": "node_390", + "improvement_over_parent": null + }, + "node_392": { + "node_id": "node_392", + "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0070)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0099)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n\nPerformance:\n Mass: 229.63 kg\n Factor of Safety: 1.49\n Max Deflection: 6.88e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.63189492849702, + "fos_buckling": 1.4922568424120437, + "fos_yielding": 4.638727212842807, + "deflection": 0.006880281124684638, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.214)" + }, + "parent_node_id": "node_391", + "improvement_over_parent": null + }, + "node_393": { + "node_id": "node_393", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_392", + "improvement_over_parent": null + }, + "node_394": { + "node_id": "node_394", + "content": "INITIAL DESIGN (Trace 55)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 170.08 kg\n Factor of Safety: 0.90\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": 170.0778092788735, + "fos_buckling": 0.9037940058819592, + "fos_yielding": 3.039970736998431, + "deflection": 0.01315169252425876, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_395": { + "node_id": "node_395", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n\nPerformance:\n Mass: 193.17 kg\n Factor of Safety: 0.87\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.17248834540473, + "fos_buckling": 0.8727405837133594, + "fos_yielding": 3.1163862725737874, + "deflection": 0.013037376119925075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006425)" + }, + "parent_node_id": "node_394", + "improvement_over_parent": null + }, + "node_396": { + "node_id": "node_396", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n Mass: 195.32 kg\n Factor of Safety: 1.06\n Max Deflection: 8.37e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.32226057517008, + "fos_buckling": 1.0637057585741347, + "fos_yielding": 2.76991863797344, + "deflection": 0.008369918124812942, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003381)" + }, + "parent_node_id": "node_395", + "improvement_over_parent": null + }, + "node_397": { + "node_id": "node_397", + "content": "MODIFICATION: Increase 6 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0113)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n Mass: 209.58 kg\n Factor of Safety: 1.06\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": 209.5770534038964, + "fos_buckling": 1.0629879673731835, + "fos_yielding": 2.768049490223076, + "deflection": 0.008035859033256775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.558)" + }, + "parent_node_id": "node_396", + "improvement_over_parent": null + }, + "node_398": { + "node_id": "node_398", + "content": "MODIFICATION: Increase 0 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0113)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n Mass: 217.92 kg\n Factor of Safety: 1.06\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": 217.92388123620353, + "fos_buckling": 1.0620354381278976, + "fos_yielding": 2.7655690782402833, + "deflection": 0.0074737578413354745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.538)" + }, + "parent_node_id": "node_397", + "improvement_over_parent": null + }, + "node_399": { + "node_id": "node_399", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0126)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 241.44 kg\n Factor of Safety: 1.17\n Max Deflection: 6.76e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.43633975184187, + "fos_buckling": 1.167928572977133, + "fos_yielding": 3.0761647643842225, + "deflection": 0.006759211518562428, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_398", + "improvement_over_parent": null + }, + "node_400": { + "node_id": "node_400", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_399", + "improvement_over_parent": null + }, + "node_401": { + "node_id": "node_401", + "content": "INITIAL DESIGN (Trace 56)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 136.62 kg\n Factor of Safety: 0.35\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": 136.6169167695362, + "fos_buckling": 0.3463806262151125, + "fos_yielding": 2.5922500657076797, + "deflection": 34317852882012.402, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_402": { + "node_id": "node_402", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 170.34 kg\n Factor of Safety: 0.36\n Max Deflection: 3.16e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.33927016080284, + "fos_buckling": 0.3587489496934717, + "fos_yielding": 3.4977293691429896, + "deflection": 31597641913974.21, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_401", + "improvement_over_parent": null + }, + "node_403": { + "node_id": "node_403", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 192.43 kg\n Factor of Safety: 0.50\n Max Deflection: 3.54e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.43041828946315, + "fos_buckling": 0.4981251322790058, + "fos_yielding": 3.8511444621626136, + "deflection": 0.03541204051399349, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_402", + "improvement_over_parent": null + }, + "node_404": { + "node_id": "node_404", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 194.82 kg\n Factor of Safety: 0.59\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": 194.8151006010493, + "fos_buckling": 0.5922809011642961, + "fos_yielding": 3.850543306964628, + "deflection": 0.012095123148532057, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.59 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5926953439348, + "fos_buckling": 1.525921496499738, + "fos_yielding": 4.603166663732693, + "deflection": 0.006970149064958434, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_404", + "improvement_over_parent": null + }, + "node_406": { + "node_id": "node_406", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_405", + "improvement_over_parent": null + }, + "node_407": { + "node_id": "node_407", + "content": "INITIAL DESIGN (Trace 57)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 133.47 kg\n Factor of Safety: 0.69\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": 133.46958205621343, + "fos_buckling": 0.6937613711990076, + "fos_yielding": 3.0386791000057083, + "deflection": 0.013235267275437538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_408": { + "node_id": "node_408", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 170.58 kg\n Factor of Safety: 0.85\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.57914858551254, + "fos_buckling": 0.8549323407321509, + "fos_yielding": 3.8783120454217688, + "deflection": 0.010402654817064193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_407", + "improvement_over_parent": null + }, + "node_409": { + "node_id": "node_409", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 201.95 kg\n Factor of Safety: 0.98\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": 201.95195884124925, + "fos_buckling": 0.9806963875237005, + "fos_yielding": 4.586382890936183, + "deflection": 0.008819990055135939, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "parent_node_id": "node_408", + "improvement_over_parent": null + }, + "node_410": { + "node_id": "node_410", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.57 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.56848775054385, + "fos_buckling": 1.5255967778012594, + "fos_yielding": 4.602772068204295, + "deflection": 0.006970962736695515, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 58)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n\nPerformance:\n Mass: 88.97 kg\n Factor of Safety: 0.01\n Max Deflection: 4.20e+15 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 88.96828517347328, + "fos_buckling": 0.005645375419646726, + "fos_yielding": 0.07674565079471085, + "deflection": 4200445745264131.5, + "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: Increase 5 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n\nPerformance:\n Mass: 89.51 kg\n Factor of Safety: 0.78\n Max Deflection: 2.62e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 89.51368645484044, + "fos_buckling": 0.7776302670003686, + "fos_yielding": 3.3562610416879535, + "deflection": 26199637867016.78, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.572)" + }, + "parent_node_id": "node_412", + "improvement_over_parent": null + }, + "node_414": { + "node_id": "node_414", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 110.88 kg\n Factor of Safety: 0.43\n Max Deflection: 2.04e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.87704410221677, + "fos_buckling": 0.4313746127190409, + "fos_yielding": 2.791169576049362, + "deflection": 0.020429906135225297, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005133)" + }, + "parent_node_id": "node_413", + "improvement_over_parent": null + }, + "node_415": { + "node_id": "node_415", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n\nPerformance:\n Mass: 131.99 kg\n Factor of Safety: 0.70\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.99115723995035, + "fos_buckling": 0.7018638876410109, + "fos_yielding": 3.3562610416879535, + "deflection": 0.01325247146525589, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005103)" + }, + "parent_node_id": "node_414", + "improvement_over_parent": null + }, + "node_416": { + "node_id": "node_416", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n\nPerformance:\n Mass: 171.86 kg\n Factor of Safety: 0.88\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.85570506203638, + "fos_buckling": 0.8788542905657615, + "fos_yielding": 4.36792570808421, + "deflection": 0.010227993966729153, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_415", + "improvement_over_parent": null + }, + "node_417": { + "node_id": "node_417", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 202.37 kg\n Factor of Safety: 1.00\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.36810757997682, + "fos_buckling": 1.0036363376036945, + "fos_yielding": 5.141627919313745, + "deflection": 0.008718113140619417, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_416", + "improvement_over_parent": null + }, + "node_418": { + "node_id": "node_418", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.49 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.48740255747776, + "fos_buckling": 1.5252647958114627, + "fos_yielding": 4.600811369718964, + "deflection": 0.006973574234145275, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_417", + "improvement_over_parent": null + }, + "node_419": { + "node_id": "node_419", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_418", + "improvement_over_parent": null + }, + "node_420": { + "node_id": "node_420", + "content": "INITIAL DESIGN (Trace 59)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, 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_421": { + "node_id": "node_421", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 96.07 kg\n Factor of Safety: 1.06\n Max Deflection: 3.02e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 96.06645784553405, + "fos_buckling": 1.0572351376481208, + "fos_yielding": 2.778350358153616, + "deflection": 30175078442201.906, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005112)" + }, + "parent_node_id": "node_420", + "improvement_over_parent": null + }, + "node_422": { + "node_id": "node_422", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 115.25 kg\n Factor of Safety: 0.64\n Max Deflection: 1.46e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.24634983778414, + "fos_buckling": 0.6449618743461882, + "fos_yielding": 3.1751995684327086, + "deflection": 14642037289068.098, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_421", + "improvement_over_parent": null + }, + "node_423": { + "node_id": "node_423", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 148.00 kg\n Factor of Safety: 0.85\n Max Deflection: 2.76e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.00249936273786, + "fos_buckling": 0.8541722433207795, + "fos_yielding": 5.474785326924677, + "deflection": 27568883521397.37, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_422", + "improvement_over_parent": null + }, + "node_424": { + "node_id": "node_424", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 169.66 kg\n Factor of Safety: 0.31\n Max Deflection: 1.95e+13 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.6617956395853, + "fos_buckling": 0.3101004266056694, + "fos_yielding": 1.8274376702109527, + "deflection": 19534968428811.324, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_423", + "improvement_over_parent": null + }, + "node_425": { + "node_id": "node_425", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 195.28 kg\n Factor of Safety: 0.62\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.2783245488799, + "fos_buckling": 0.6162127283497132, + "fos_yielding": 4.262643165411977, + "deflection": 0.011899097599654225, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_424", + "improvement_over_parent": null + }, + "node_426": { + "node_id": "node_426", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.67 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6719441889982, + "fos_buckling": 1.5262287414610727, + "fos_yielding": 4.605576344267162, + "deflection": 0.0069676703972143825, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_425", + "improvement_over_parent": null + }, + "node_427": { + "node_id": "node_427", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_426", + "improvement_over_parent": null + }, + "node_428": { + "node_id": "node_428", + "content": "INITIAL DESIGN (Trace 60)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n Mass: 181.09 kg\n Factor of Safety: 1.14\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": 181.08710966173732, + "fos_buckling": 1.1443077733158313, + "fos_yielding": 3.9137251174397334, + "deflection": 0.008969397265439468, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_429": { + "node_id": "node_429", + "content": "MODIFICATION: Increase 10 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n Mass: 186.12 kg\n Factor of Safety: 1.23\n Max Deflection: 8.69e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.11838396272975, + "fos_buckling": 1.2268721008981909, + "fos_yielding": 3.949410172031561, + "deflection": 0.008692471478664235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.284)" + }, + "parent_node_id": "node_428", + "improvement_over_parent": null + }, + "node_430": { + "node_id": "node_430", + "content": "MODIFICATION: Increase 1 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n Mass: 195.41 kg\n Factor of Safety: 1.22\n Max Deflection: 8.14e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.40874290045642, + "fos_buckling": 1.223901980700673, + "fos_yielding": 4.022638485610517, + "deflection": 0.008137348172872103, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.645)" + }, + "parent_node_id": "node_429", + "improvement_over_parent": null + }, + "node_431": { + "node_id": "node_431", + "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 200.35 kg\n Factor of Safety: 1.38\n Max Deflection: 7.89e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.35381506236277, + "fos_buckling": 1.3767030259567692, + "fos_yielding": 4.055847082652047, + "deflection": 0.007893451657481034, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.224)" + }, + "parent_node_id": "node_430", + "improvement_over_parent": null + }, + "node_432": { + "node_id": "node_432", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.53 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5257420761659, + "fos_buckling": 1.5258149542343749, + "fos_yielding": 4.601671674450769, + "deflection": 0.006972041760366581, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_431", + "improvement_over_parent": null + }, + "node_433": { + "node_id": "node_433", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_432", + "improvement_over_parent": null + }, + "node_434": { + "node_id": "node_434", + "content": "INITIAL DESIGN (Trace 61)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n Mass: 121.10 kg\n Factor of Safety: 0.72\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.0971617037392, + "fos_buckling": 0.7170985902518731, + "fos_yielding": 3.5248907225859187, + "deflection": 0.015514390734321943, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_435": { + "node_id": "node_435", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n\nPerformance:\n Mass: 132.31 kg\n Factor of Safety: 0.73\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.31384821691836, + "fos_buckling": 0.733063847620371, + "fos_yielding": 3.5248907225859187, + "deflection": 0.013007428674587821, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.002992)" + }, + "parent_node_id": "node_434", + "improvement_over_parent": null + }, + "node_436": { + "node_id": "node_436", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n\nPerformance:\n Mass: 152.58 kg\n Factor of Safety: 0.83\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": 152.5817791056187, + "fos_buckling": 0.8278664122979477, + "fos_yielding": 4.062548000019568, + "deflection": 0.011308275991714668, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_435", + "improvement_over_parent": null + }, + "node_437": { + "node_id": "node_437", + "content": "MODIFICATION: Increase 8 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0101)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n\nPerformance:\n Mass: 166.33 kg\n Factor of Safety: 1.17\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": 166.3257231650718, + "fos_buckling": 1.1732686274727326, + "fos_yielding": 4.062548000019568, + "deflection": 0.010108763213253791, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.597)" + }, + "parent_node_id": "node_436", + "improvement_over_parent": null + }, + "node_438": { + "node_id": "node_438", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0101)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 186.15 kg\n Factor of Safety: 1.17\n Max Deflection: 8.58e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.14567605031823, + "fos_buckling": 1.1727537325035917, + "fos_yielding": 3.6952917245985017, + "deflection": 0.008583566581647583, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005509)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0130)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 235.44 kg\n Factor of Safety: 1.43\n Max Deflection: 6.82e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.43704693987175, + "fos_buckling": 1.4258845430959268, + "fos_yielding": 4.675404632335217, + "deflection": 0.0068155482889636285, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_438", + "improvement_over_parent": null + }, + "node_440": { + "node_id": "node_440", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_439", + "improvement_over_parent": null + }, + "node_441": { + "node_id": "node_441", + "content": "INITIAL DESIGN (Trace 62)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\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_442": { + "node_id": "node_442", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 191.49 kg\n Factor of Safety: 0.77\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": 191.49054964346942, + "fos_buckling": 0.769296351253553, + "fos_yielding": 3.4431242516077813, + "deflection": 0.00975124459293137, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_441", + "improvement_over_parent": null + }, + "node_443": { + "node_id": "node_443", + "content": "MODIFICATION: Increase 6 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0125)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 206.61 kg\n Factor of Safety: 0.77\n Max Deflection: 9.41e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.61321577948632, + "fos_buckling": 0.7677747940855824, + "fos_yielding": 3.4431242516077813, + "deflection": 0.009412527257359204, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.543)" + }, + "parent_node_id": "node_442", + "improvement_over_parent": null + }, + "node_444": { + "node_id": "node_444", + "content": "MODIFICATION: Increase 9 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0125)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0096)]\n\nPerformance:\n Mass: 214.28 kg\n Factor of Safety: 0.77\n Max Deflection: 9.42e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.28295855345442, + "fos_buckling": 0.7670054059919359, + "fos_yielding": 3.4408161198810867, + "deflection": 0.00942176281198514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.406)" + }, + "parent_node_id": "node_443", + "improvement_over_parent": null + }, + "node_445": { + "node_id": "node_445", + "content": "MODIFICATION: Increase 5 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0125)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0096)]\n\nPerformance:\n Mass: 215.17 kg\n Factor of Safety: 0.77\n Max Deflection: 9.42e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.17161302831556, + "fos_buckling": 0.7670054059919359, + "fos_yielding": 4.349139380930573, + "deflection": 0.00942176281198514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.285)" + }, + "parent_node_id": "node_444", + "improvement_over_parent": null + }, + "node_446": { + "node_id": "node_446", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0125)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0096)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 240.29 kg\n Factor of Safety: 1.28\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": 240.2909080058165, + "fos_buckling": 1.280526467979843, + "fos_yielding": 3.8237026311544837, + "deflection": 0.006965682538110485, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_445", + "improvement_over_parent": null + }, + "node_447": { + "node_id": "node_447", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_446", + "improvement_over_parent": null + }, + "node_448": { + "node_id": "node_448", + "content": "INITIAL DESIGN (Trace 63)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 168.27 kg\n Factor of Safety: 0.89\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": 168.2735021734457, + "fos_buckling": 0.8870740771689288, + "fos_yielding": 4.412352604568519, + "deflection": 0.010452590034278827, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_449": { + "node_id": "node_449", + "content": "MODIFICATION: Increase 7 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 176.62 kg\n Factor of Safety: 0.89\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": 176.6154456516284, + "fos_buckling": 0.886102425758619, + "fos_yielding": 4.412352604568519, + "deflection": 0.01012698017484522, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.661)" + }, + "parent_node_id": "node_448", + "improvement_over_parent": null + }, + "node_450": { + "node_id": "node_450", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.88 kg\n Factor of Safety: 1.00\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.87912509158497, + "fos_buckling": 1.0033968775892097, + "fos_yielding": 5.141515677612771, + "deflection": 0.008718300338515858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_449", + "improvement_over_parent": null + }, + "node_451": { + "node_id": "node_451", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.54 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5384213684324, + "fos_buckling": 1.5255231684713564, + "fos_yielding": 4.602140549650493, + "deflection": 0.006971843614855138, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_450", + "improvement_over_parent": null + }, + "node_452": { + "node_id": "node_452", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_451", + "improvement_over_parent": null + }, + "node_453": { + "node_id": "node_453", + "content": "INITIAL DESIGN (Trace 64)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n Mass: 155.13 kg\n Factor of Safety: 0.54\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.12531564046165, + "fos_buckling": 0.54448630251108, + "fos_yielding": 3.4638405863821964, + "deflection": 0.015223035189495472, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_454": { + "node_id": "node_454", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n\nPerformance:\n Mass: 174.96 kg\n Factor of Safety: 0.54\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": 174.96058273584654, + "fos_buckling": 0.5430678365366179, + "fos_yielding": 3.4615896951409186, + "deflection": 0.013437956573489479, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006121)" + }, + "parent_node_id": "node_453", + "improvement_over_parent": null + }, + "node_455": { + "node_id": "node_455", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 204.39 kg\n Factor of Safety: 1.40\n Max Deflection: 7.74e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.392191577908, + "fos_buckling": 1.3990448259056405, + "fos_yielding": 4.137380595011451, + "deflection": 0.007741135759486336, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007236)" + }, + "parent_node_id": "node_454", + "improvement_over_parent": null + }, + "node_456": { + "node_id": "node_456", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.64167839706226, + "fos_buckling": 1.5260454344203418, + "fos_yielding": 4.604380437600731, + "deflection": 0.006968693944526824, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_455", + "improvement_over_parent": null + }, + "node_457": { + "node_id": "node_457", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_456", + "improvement_over_parent": null + }, + "node_458": { + "node_id": "node_458", + "content": "INITIAL DESIGN (Trace 65)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0024)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n\nPerformance:\n Mass: 79.32 kg\n Factor of Safety: 0.32\n Max Deflection: 3.04e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 79.31545722395686, + "fos_buckling": 0.31794936031242954, + "fos_yielding": 1.873534351701569, + "deflection": 0.03042366255839964, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_459": { + "node_id": "node_459", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0024)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n Mass: 95.17 kg\n Factor of Safety: 0.53\n Max Deflection: 2.04e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 95.17227864736734, + "fos_buckling": 0.5258762822161465, + "fos_yielding": 2.228117473624724, + "deflection": 0.02041270852694197, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.003754)" + }, + "parent_node_id": "node_458", + "improvement_over_parent": null + }, + "node_460": { + "node_id": "node_460", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n Mass: 118.26 kg\n Factor of Safety: 0.64\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.26320802191181, + "fos_buckling": 0.6387318791374239, + "fos_yielding": 2.7654109351878646, + "deflection": 0.01645779404667632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_459", + "improvement_over_parent": null + }, + "node_461": { + "node_id": "node_461", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n\nPerformance:\n Mass: 131.54 kg\n Factor of Safety: 0.97\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.53724119513484, + "fos_buckling": 0.9696978322650407, + "fos_yielding": 2.777572758126902, + "deflection": 0.012153719457370838, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003985)" + }, + "parent_node_id": "node_460", + "improvement_over_parent": null + }, + "node_462": { + "node_id": "node_462", + "content": "MODIFICATION: Increase 0 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n\nPerformance:\n Mass: 136.80 kg\n Factor of Safety: 0.99\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.80210515255715, + "fos_buckling": 0.9930805866738537, + "fos_yielding": 2.7756493131919417, + "deflection": 0.011477855537987544, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.481)" + }, + "parent_node_id": "node_461", + "improvement_over_parent": null + }, + "node_463": { + "node_id": "node_463", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n\nPerformance:\n Mass: 177.15 kg\n Factor of Safety: 1.24\n Max Deflection: 8.90e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.14842026948787, + "fos_buckling": 1.2419902683458948, + "fos_yielding": 3.5893395306450877, + "deflection": 0.00890425613202179, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_462", + "improvement_over_parent": null + }, + "node_464": { + "node_id": "node_464", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.50 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.50371643761122, + "fos_buckling": 1.5252592501187756, + "fos_yielding": 4.60176904742441, + "deflection": 0.006972792644443413, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_463", + "improvement_over_parent": null + }, + "node_465": { + "node_id": "node_465", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_464", + "improvement_over_parent": null + }, + "node_466": { + "node_id": "node_466", + "content": "INITIAL DESIGN (Trace 66)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n Mass: 193.82 kg\n Factor of Safety: 1.19\n Max Deflection: 8.38e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.81806943974425, + "fos_buckling": 1.1922565334714719, + "fos_yielding": 4.309287684776511, + "deflection": 0.008375021282570946, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_467": { + "node_id": "node_467", + "content": "MODIFICATION: Increase 9 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n Mass: 200.93 kg\n Factor of Safety: 1.26\n Max Deflection: 8.17e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.93044236117197, + "fos_buckling": 1.2601323295702362, + "fos_yielding": 4.310796007060599, + "deflection": 0.008165792513645232, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.433)" + }, + "parent_node_id": "node_466", + "improvement_over_parent": null + }, + "node_468": { + "node_id": "node_468", + "content": "MODIFICATION: Increase 8 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n Mass: 208.02 kg\n Factor of Safety: 1.26\n Max Deflection: 7.95e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.01965640798173, + "fos_buckling": 1.2562239617005584, + "fos_yielding": 4.2481269866345395, + "deflection": 0.007946151888554229, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.420)" + }, + "parent_node_id": "node_467", + "improvement_over_parent": null + }, + "node_469": { + "node_id": "node_469", + "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 216.63 kg\n Factor of Safety: 1.37\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": 216.62964325870948, + "fos_buckling": 1.366193577260757, + "fos_yielding": 4.244085199470517, + "deflection": 0.007577832492590425, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.391)" + }, + "parent_node_id": "node_468", + "improvement_over_parent": null + }, + "node_470": { + "node_id": "node_470", + "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 217.47 kg\n Factor of Safety: 1.45\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": 217.46926191647682, + "fos_buckling": 1.4462401608314133, + "fos_yielding": 4.616009895257047, + "deflection": 0.007504747871501512, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.261)" + }, + "parent_node_id": "node_469", + "improvement_over_parent": null + }, + "node_471": { + "node_id": "node_471", + "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 217.89 kg\n Factor of Safety: 1.46\n Max Deflection: 7.44e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.89111047898132, + "fos_buckling": 1.4574768203517956, + "fos_yielding": 4.608090073944771, + "deflection": 0.00744038675174841, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.236)" + }, + "parent_node_id": "node_470", + "improvement_over_parent": null + }, + "node_472": { + "node_id": "node_472", + "content": "MODIFICATION: Increase 0 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.62886730550352, + "fos_buckling": 1.5259740623686109, + "fos_yielding": 4.604075728198691, + "deflection": 0.006969204654738057, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.587)" + }, + "parent_node_id": "node_471", + "improvement_over_parent": null + }, + "node_473": { + "node_id": "node_473", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_472", + "improvement_over_parent": null + }, + "node_474": { + "node_id": "node_474", + "content": "INITIAL DESIGN (Trace 67)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n\nPerformance:\n Mass: 129.70 kg\n Factor of Safety: 1.33\n Max Deflection: 1.48e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.70128824414286, + "fos_buckling": 1.3334335045752777, + "fos_yielding": 3.948859651656519, + "deflection": 14771067363505.775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_475": { + "node_id": "node_475", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n Mass: 154.84 kg\n Factor of Safety: 0.81\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": 154.8432057824248, + "fos_buckling": 0.8074434322785394, + "fos_yielding": 3.5013920697389564, + "deflection": 0.011355346341077066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006105)" + }, + "parent_node_id": "node_474", + "improvement_over_parent": null + }, + "node_476": { + "node_id": "node_476", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n Mass: 174.11 kg\n Factor of Safety: 1.16\n Max Deflection: 9.09e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.10918626348968, + "fos_buckling": 1.1627568144103746, + "fos_yielding": 3.5177638874530426, + "deflection": 0.009091410154703381, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005344)" + }, + "parent_node_id": "node_475", + "improvement_over_parent": null + }, + "node_477": { + "node_id": "node_477", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 226.95 kg\n Factor of Safety: 1.47\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": 226.9491526958439, + "fos_buckling": 1.4655048459022382, + "fos_yielding": 4.590785892830446, + "deflection": 0.00701547996188079, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.333)" + }, + "parent_node_id": "node_476", + "improvement_over_parent": null + }, + "node_478": { + "node_id": "node_478", + "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.58 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.579180796956, + "fos_buckling": 1.5257026510931395, + "fos_yielding": 4.603181608840712, + "deflection": 0.006970558483306276, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.185)" + }, + "parent_node_id": "node_477", + "improvement_over_parent": null + }, + "node_479": { + "node_id": "node_479", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_478", + "improvement_over_parent": null + }, + "node_480": { + "node_id": "node_480", + "content": "INITIAL DESIGN (Trace 68)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n\nPerformance:\n Mass: 110.22 kg\n Factor of Safety: 0.37\n Max Deflection: 2.12e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.21717874077655, + "fos_buckling": 0.3652306691014405, + "fos_yielding": 2.187593710232011, + "deflection": 0.02117832539241447, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_481": { + "node_id": "node_481", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n\nPerformance:\n Mass: 128.76 kg\n Factor of Safety: 0.94\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": 128.75878022316593, + "fos_buckling": 0.9411677931944912, + "fos_yielding": 2.6130707383312823, + "deflection": 0.012183750609692094, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.004421)" + }, + "parent_node_id": "node_480", + "improvement_over_parent": null + }, + "node_482": { + "node_id": "node_482", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n Mass: 156.53 kg\n Factor of Safety: 1.12\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": 156.52676103284236, + "fos_buckling": 1.1173051549948034, + "fos_yielding": 3.1736113305576175, + "deflection": 0.010053913303624758, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_481", + "improvement_over_parent": null + }, + "node_483": { + "node_id": "node_483", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 195.49 kg\n Factor of Safety: 1.35\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": 195.48545202133369, + "fos_buckling": 1.348728493904896, + "fos_yielding": 3.9582768052713915, + "deflection": 0.008085714814313071, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_482", + "improvement_over_parent": null + }, + "node_484": { + "node_id": "node_484", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.69 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.69483987100332, + "fos_buckling": 1.5263689773080538, + "fos_yielding": 4.605442897238796, + "deflection": 0.006967095237504568, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_483", + "improvement_over_parent": null + }, + "node_485": { + "node_id": "node_485", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_484", + "improvement_over_parent": null + }, + "node_486": { + "node_id": "node_486", + "content": "INITIAL DESIGN (Trace 69)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0032)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, 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_487": { + "node_id": "node_487", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0032)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n\nPerformance:\n Mass: 92.03 kg\n Factor of Safety: 0.91\n Max Deflection: 1.99e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 92.03004187077273, + "fos_buckling": 0.905761879790544, + "fos_yielding": 2.34110451793649, + "deflection": 19915423434088.69, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.003762)" + }, + "parent_node_id": "node_486", + "improvement_over_parent": null + }, + "node_488": { + "node_id": "node_488", + "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n\nPerformance:\n Mass: 95.36 kg\n Factor of Safety: 0.98\n Max Deflection: 1.99e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 95.3568652534433, + "fos_buckling": 0.978109275481238, + "fos_yielding": 2.5280993768408964, + "deflection": 19924218295088.664, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.285)" + }, + "parent_node_id": "node_487", + "improvement_over_parent": null + }, + "node_489": { + "node_id": "node_489", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n Mass: 112.30 kg\n Factor of Safety: 1.19\n Max Deflection: 1.75e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.30389110169088, + "fos_buckling": 1.1893668302447689, + "fos_yielding": 3.1251432337257916, + "deflection": 17525306079586.053, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_488", + "improvement_over_parent": null + }, + "node_490": { + "node_id": "node_490", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n\nPerformance:\n Mass: 140.61 kg\n Factor of Safety: 0.08\n Max Deflection: 7.20e+13 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.60506200688138, + "fos_buckling": 0.08015958584305875, + "fos_yielding": 0.45685941755273807, + "deflection": 71972308851880.52, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_489", + "improvement_over_parent": null + }, + "node_491": { + "node_id": "node_491", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 173.26 kg\n Factor of Safety: 0.56\n Max Deflection: 8.59e+13 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.2575955900911, + "fos_buckling": 0.5646793989676565, + "fos_yielding": 1.8150903838137136, + "deflection": 85941758001245.77, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_490", + "improvement_over_parent": null + }, + "node_492": { + "node_id": "node_492", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 206.04 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.0351903329766, + "fos_buckling": 1.003744180830513, + "fos_yielding": 5.145774375726493, + "deflection": 0.008712655499829669, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_491", + "improvement_over_parent": null + }, + "node_493": { + "node_id": "node_493", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.69 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.69448660982403, + "fos_buckling": 1.526064110521835, + "fos_yielding": 4.605936651232387, + "deflection": 0.006967091711759045, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_492", + "improvement_over_parent": null + }, + "node_494": { + "node_id": "node_494", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_493", + "improvement_over_parent": null + }, + "node_495": { + "node_id": "node_495", + "content": "INITIAL DESIGN (Trace 70)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n Mass: 94.69 kg\n Factor of Safety: 0.08\n Max Deflection: 4.79e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 94.68929561608424, + "fos_buckling": 0.07782124416267847, + "fos_yielding": 0.7996038157109246, + "deflection": 478898120464633.56, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_496": { + "node_id": "node_496", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n\nPerformance:\n Mass: 116.43 kg\n Factor of Safety: 0.71\n Max Deflection: 4.03e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.42755259237978, + "fos_buckling": 0.7100158657702884, + "fos_yielding": 3.4553795781319567, + "deflection": 4034792931686.2983, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005263)" + }, + "parent_node_id": "node_495", + "improvement_over_parent": null + }, + "node_497": { + "node_id": "node_497", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n\nPerformance:\n Mass: 134.60 kg\n Factor of Safety: 0.81\n Max Deflection: 1.36e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.60141412513767, + "fos_buckling": 0.8050760919268515, + "fos_yielding": 3.992863861428484, + "deflection": 1356081087276.4814, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_496", + "improvement_over_parent": null + }, + "node_498": { + "node_id": "node_498", + "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0076)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n\nPerformance:\n Mass: 139.94 kg\n Factor of Safety: 0.80\n Max Deflection: 1.36e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.94003617642667, + "fos_buckling": 0.8045043907209299, + "fos_yielding": 3.992863861428484, + "deflection": 1356081087276.4814, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.229)" + }, + "parent_node_id": "node_497", + "improvement_over_parent": null + }, + "node_499": { + "node_id": "node_499", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0076)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n\nPerformance:\n Mass: 157.08 kg\n Factor of Safety: 0.81\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.07925565819042, + "fos_buckling": 0.8091130886453562, + "fos_yielding": 3.992863861428484, + "deflection": 0.013011591364500308, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005228)" + }, + "parent_node_id": "node_498", + "improvement_over_parent": null + }, + "node_500": { + "node_id": "node_500", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0076)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 176.57 kg\n Factor of Safety: 0.82\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.56711895006333, + "fos_buckling": 0.8243935705773806, + "fos_yielding": 4.006903023789301, + "deflection": 0.012998814296555142, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005410)" + }, + "parent_node_id": "node_499", + "improvement_over_parent": null + }, + "node_501": { + "node_id": "node_501", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0100)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.59 kg\n Factor of Safety: 1.02\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.59306904282747, + "fos_buckling": 1.0177201258788096, + "fos_yielding": 5.156365284621677, + "deflection": 0.010126569669587334, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_500", + "improvement_over_parent": null + }, + "node_502": { + "node_id": "node_502", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0100)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 229.98 kg\n Factor of Safety: 1.48\n Max Deflection: 6.88e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.9777513544136, + "fos_buckling": 1.4845638916046353, + "fos_yielding": 4.638763088862226, + "deflection": 0.006876265916474661, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_501", + "improvement_over_parent": null + }, + "node_503": { + "node_id": "node_503", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_502", + "improvement_over_parent": null + }, + "node_504": { + "node_id": "node_504", + "content": "INITIAL DESIGN (Trace 71)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0024)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 94.37 kg\n Factor of Safety: 0.65\n Max Deflection: 1.42e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 94.36548167017065, + "fos_buckling": 0.6544887603000415, + "fos_yielding": 3.462825329911392, + "deflection": 14200067770523.781, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_505": { + "node_id": "node_505", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0024)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n\nPerformance:\n Mass: 116.84 kg\n Factor of Safety: 0.73\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.83804213660275, + "fos_buckling": 0.7259716725085882, + "fos_yielding": 3.5738441024119885, + "deflection": 0.015304292002619135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005452)" + }, + "parent_node_id": "node_504", + "improvement_over_parent": null + }, + "node_506": { + "node_id": "node_506", + "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0024)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0079)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n\nPerformance:\n Mass: 126.17 kg\n Factor of Safety: 0.73\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.16757942832453, + "fos_buckling": 0.7250765477835877, + "fos_yielding": 3.5738441024119885, + "deflection": 0.014165979955514855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.449)" + }, + "parent_node_id": "node_505", + "improvement_over_parent": null + }, + "node_507": { + "node_id": "node_507", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0103)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n Mass: 159.70 kg\n Factor of Safety: 0.89\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.7024003845521, + "fos_buckling": 0.8862612007895264, + "fos_yielding": 4.529346376450008, + "deflection": 0.011244919817660168, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_506", + "improvement_over_parent": null + }, + "node_508": { + "node_id": "node_508", + "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0139)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n Mass: 171.67 kg\n Factor of Safety: 0.88\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.67301008170577, + "fos_buckling": 0.8848672350458661, + "fos_yielding": 4.529346376450008, + "deflection": 0.010745765142353337, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.353)" + }, + "parent_node_id": "node_507", + "improvement_over_parent": null + }, + "node_509": { + "node_id": "node_509", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0160)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 194.55 kg\n Factor of Safety: 0.98\n Max Deflection: 9.50e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.55248038939487, + "fos_buckling": 0.9821611748448501, + "fos_yielding": 5.150775227483243, + "deflection": 0.009497730042397215, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_508", + "improvement_over_parent": null + }, + "node_510": { + "node_id": "node_510", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0160)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 220.17 kg\n Factor of Safety: 1.54\n Max Deflection: 7.50e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 220.16900929868947, + "fos_buckling": 1.537808707938575, + "fos_yielding": 5.150775227483244, + "deflection": 0.007496675932838134, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_509", + "improvement_over_parent": null + }, + "node_511": { + "node_id": "node_511", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0160)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 241.83 kg\n Factor of Safety: 1.54\n Max Deflection: 6.67e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 241.8283055755369, + "fos_buckling": 1.5367074189036003, + "fos_yielding": 4.792622633617747, + "deflection": 0.006668550237075888, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_510", + "improvement_over_parent": null + }, + "node_512": { + "node_id": "node_512", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_511", + "improvement_over_parent": null + }, + "node_513": { + "node_id": "node_513", + "content": "INITIAL DESIGN (Trace 72)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 163.35 kg\n Factor of Safety: 0.90\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": 163.35192126764605, + "fos_buckling": 0.8966833051952549, + "fos_yielding": 4.590243202760026, + "deflection": 0.01199746298124353, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_514": { + "node_id": "node_514", + "content": "MODIFICATION: Increase 3 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 164.04 kg\n Factor of Safety: 0.90\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": 164.0448758965008, + "fos_buckling": 0.8965198537970255, + "fos_yielding": 4.590243202760026, + "deflection": 0.011986405190658451, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.524)" + }, + "parent_node_id": "node_513", + "improvement_over_parent": null + }, + "node_515": { + "node_id": "node_515", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n\nPerformance:\n Mass: 183.37 kg\n Factor of Safety: 0.89\n Max Deflection: 9.86e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.3696212182671, + "fos_buckling": 0.8942469241446671, + "fos_yielding": 4.095707145516974, + "deflection": 0.009860032369834407, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006019)" + }, + "parent_node_id": "node_514", + "improvement_over_parent": null + }, + "node_516": { + "node_id": "node_516", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n\nPerformance:\n Mass: 203.08 kg\n Factor of Safety: 1.39\n Max Deflection: 7.79e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.0766155421565, + "fos_buckling": 1.3916326244535264, + "fos_yielding": 4.111000084705886, + "deflection": 0.0077902793580759185, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006078)" + }, + "parent_node_id": "node_515", + "improvement_over_parent": null + }, + "node_517": { + "node_id": "node_517", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.66 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.65603435112908, + "fos_buckling": 1.5260861073897551, + "fos_yielding": 4.6047423772514, + "deflection": 0.006968395325584919, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_516", + "improvement_over_parent": null + }, + "node_518": { + "node_id": "node_518", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_517", + "improvement_over_parent": null + }, + "node_519": { + "node_id": "node_519", + "content": "INITIAL DESIGN (Trace 73)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 162.31 kg\n Factor of Safety: 0.87\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": 162.30889428810747, + "fos_buckling": 0.8686563977391516, + "fos_yielding": 4.376406395967231, + "deflection": 0.01303447289974927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_520": { + "node_id": "node_520", + "content": "MODIFICATION: Increase 4 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 163.01 kg\n Factor of Safety: 0.87\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.0145814559587, + "fos_buckling": 0.8686563977391516, + "fos_yielding": 4.391128043089879, + "deflection": 0.01303447289974927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.250)" + }, + "parent_node_id": "node_519", + "improvement_over_parent": null + }, + "node_521": { + "node_id": "node_521", + "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 166.66 kg\n Factor of Safety: 0.87\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.66346648452216, + "fos_buckling": 0.8682395503199224, + "fos_yielding": 4.388345852971915, + "deflection": 0.013034156599216045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.220)" + }, + "parent_node_id": "node_520", + "improvement_over_parent": null + }, + "node_522": { + "node_id": "node_522", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 194.19 kg\n Factor of Safety: 0.98\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.1937234257051, + "fos_buckling": 0.9827329643425812, + "fos_yielding": 5.103343574094143, + "deflection": 0.011202835230134841, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_521", + "improvement_over_parent": null + }, + "node_523": { + "node_id": "node_523", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 196.58 kg\n Factor of Safety: 0.98\n Max Deflection: 9.03e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.57840573729123, + "fos_buckling": 0.9821190613347226, + "fos_yielding": 4.551244547368212, + "deflection": 0.009031214316722476, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_522", + "improvement_over_parent": null + }, + "node_524": { + "node_id": "node_524", + "content": "MODIFICATION: Increase 1 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 202.14 kg\n Factor of Safety: 0.98\n Max Deflection: 8.81e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.1441033614806, + "fos_buckling": 0.981403625025913, + "fos_yielding": 4.590576047831482, + "deflection": 0.008811926329421429, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.269)" + }, + "parent_node_id": "node_523", + "improvement_over_parent": null + }, + "node_525": { + "node_id": "node_525", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.76 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.7606322707752, + "fos_buckling": 1.5265953833646078, + "fos_yielding": 4.606988628560402, + "deflection": 0.0069650463535637875, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 74)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 111.47 kg\n Factor of Safety: 0.47\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 111.46747916892684, + "fos_buckling": 0.46806358042941815, + "fos_yielding": 3.060425408290904, + "deflection": 0.01878911540271688, + "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 all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 124.00 kg\n Factor of Safety: 0.51\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.99795201046909, + "fos_buckling": 0.5124226405723253, + "fos_yielding": 3.399485737708595, + "deflection": 0.016924061019194896, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_527", + "improvement_over_parent": null + }, + "node_529": { + "node_id": "node_529", + "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 131.36 kg\n Factor of Safety: 0.51\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.35581093770642, + "fos_buckling": 0.5119246193322009, + "fos_yielding": 3.3984401205618178, + "deflection": 0.01693836693365046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.626)" + }, + "parent_node_id": "node_528", + "improvement_over_parent": null + }, + "node_530": { + "node_id": "node_530", + "content": "MODIFICATION: Increase 0 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 137.55 kg\n Factor of Safety: 0.51\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.5518329721017, + "fos_buckling": 0.5115059879571526, + "fos_yielding": 3.3975601095254317, + "deflection": 0.01695041388400183, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.416)" + }, + "parent_node_id": "node_529", + "improvement_over_parent": null + }, + "node_531": { + "node_id": "node_531", + "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 137.92 kg\n Factor of Safety: 0.51\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.92486122510337, + "fos_buckling": 0.5114556271725311, + "fos_yielding": 3.3974541790617736, + "deflection": 0.016805967957372367, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.263)" + }, + "parent_node_id": "node_530", + "improvement_over_parent": null + }, + "node_532": { + "node_id": "node_532", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n\nPerformance:\n Mass: 155.13 kg\n Factor of Safety: 0.51\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.1267038201542, + "fos_buckling": 0.5102972014307011, + "fos_yielding": 3.395013568502671, + "deflection": 0.014909055332169992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005308)" + }, + "parent_node_id": "node_531", + "improvement_over_parent": null + }, + "node_533": { + "node_id": "node_533", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n\nPerformance:\n Mass: 180.85 kg\n Factor of Safety: 1.26\n Max Deflection: 8.73e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.85436940466397, + "fos_buckling": 1.2640777991071042, + "fos_yielding": 3.6647852085597723, + "deflection": 0.008725492685288742, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006300)" + }, + "parent_node_id": "node_532", + "improvement_over_parent": null + }, + "node_534": { + "node_id": "node_534", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63950774425203, + "fos_buckling": 1.5262106612830182, + "fos_yielding": 4.605498431731666, + "deflection": 0.006968778897506126, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_533", + "improvement_over_parent": null + }, + "node_535": { + "node_id": "node_535", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_534", + "improvement_over_parent": null + }, + "node_536": { + "node_id": "node_536", + "content": "INITIAL DESIGN (Trace 75)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n Mass: 131.58 kg\n Factor of Safety: 0.87\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": 131.58322450020762, + "fos_buckling": 0.8665695825733563, + "fos_yielding": 3.0452159858258043, + "deflection": 0.011843163784166312, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_537": { + "node_id": "node_537", + "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n Mass: 134.77 kg\n Factor of Safety: 0.89\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.76645598179005, + "fos_buckling": 0.8897697422032077, + "fos_yielding": 3.027356610206523, + "deflection": 0.011689640692757805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.309)" + }, + "parent_node_id": "node_536", + "improvement_over_parent": null + }, + "node_538": { + "node_id": "node_538", + "content": "MODIFICATION: Increase 9 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n Mass: 140.67 kg\n Factor of Safety: 0.92\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": 140.67473203061132, + "fos_buckling": 0.9181973724760932, + "fos_yielding": 2.98225831385005, + "deflection": 0.011283844608427738, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.600)" + }, + "parent_node_id": "node_537", + "improvement_over_parent": null + }, + "node_539": { + "node_id": "node_539", + "content": "MODIFICATION: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n Mass: 144.88 kg\n Factor of Safety: 0.96\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": 144.87960391840568, + "fos_buckling": 0.9584381284268558, + "fos_yielding": 2.9809984971005394, + "deflection": 0.010897454774334799, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.264)" + }, + "parent_node_id": "node_538", + "improvement_over_parent": null + }, + "node_540": { + "node_id": "node_540", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n Mass: 165.93 kg\n Factor of Safety: 1.08\n Max Deflection: 9.54e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.93037720460174, + "fos_buckling": 1.0811385073036677, + "fos_yielding": 3.4112509141361267, + "deflection": 0.00953702605190857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_539", + "improvement_over_parent": null + }, + "node_541": { + "node_id": "node_541", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 184.74 kg\n Factor of Safety: 1.19\n Max Deflection: 8.58e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.74019734645663, + "fos_buckling": 1.1872639436467067, + "fos_yielding": 3.795074189419111, + "deflection": 0.008583693241630216, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_540", + "improvement_over_parent": null + }, + "node_542": { + "node_id": "node_542", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 223.00 kg\n Factor of Safety: 1.39\n Max Deflection: 7.14e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.00375893843264, + "fos_buckling": 1.3929593630136323, + "fos_yielding": 4.574020764627492, + "deflection": 0.00714068165376887, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_541", + "improvement_over_parent": null + }, + "node_543": { + "node_id": "node_543", + "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.60 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.59632303105167, + "fos_buckling": 1.5258047770575964, + "fos_yielding": 4.604078840350036, + "deflection": 0.006969887202403668, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.179)" + }, + "parent_node_id": "node_542", + "improvement_over_parent": null + }, + "node_544": { + "node_id": "node_544", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_543", + "improvement_over_parent": null + }, + "node_545": { + "node_id": "node_545", + "content": "INITIAL DESIGN (Trace 76)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 188.06 kg\n Factor of Safety: 1.01\n Max Deflection: 9.26e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.06193022060094, + "fos_buckling": 1.0061041320936095, + "fos_yielding": 5.1437712751673565, + "deflection": 0.009262111568741776, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_546": { + "node_id": "node_546", + "content": "MODIFICATION: Increase 7 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 196.57 kg\n Factor of Safety: 1.00\n Max Deflection: 9.03e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.5730790714015, + "fos_buckling": 1.0049825404828263, + "fos_yielding": 5.1437712751673565, + "deflection": 0.009030237118934772, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.546)" + }, + "parent_node_id": "node_545", + "improvement_over_parent": null + }, + "node_547": { + "node_id": "node_547", + "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 201.23 kg\n Factor of Safety: 1.00\n Max Deflection: 8.84e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.2342737821592, + "fos_buckling": 1.0043693515183347, + "fos_yielding": 5.143771275167355, + "deflection": 0.008837838895343224, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.220)" + }, + "parent_node_id": "node_546", + "improvement_over_parent": null + }, + "node_548": { + "node_id": "node_548", + "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.96 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.96406214486947, + "fos_buckling": 1.0037479033275623, + "fos_yielding": 5.143771275167354, + "deflection": 0.008714670913926973, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.299)" + }, + "parent_node_id": "node_547", + "improvement_over_parent": null + }, + "node_549": { + "node_id": "node_549", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.62 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6233584217169, + "fos_buckling": 1.5259707116435823, + "fos_yielding": 4.60420616410427, + "deflection": 0.0069691499964202545, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_548", + "improvement_over_parent": null + }, + "node_550": { + "node_id": "node_550", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_549", + "improvement_over_parent": null + }, + "node_551": { + "node_id": "node_551", + "content": "INITIAL DESIGN (Trace 77)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 160.54 kg\n Factor of Safety: 0.83\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": 160.5367006412084, + "fos_buckling": 0.8273304959268198, + "fos_yielding": 3.727625281672721, + "deflection": 0.012008640721277627, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_552": { + "node_id": "node_552", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 197.93 kg\n Factor of Safety: 0.98\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": 197.93400450586842, + "fos_buckling": 0.9813122864885159, + "fos_yielding": 4.587001388251589, + "deflection": 0.009769693397486599, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_551", + "improvement_over_parent": null + }, + "node_553": { + "node_id": "node_553", + "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.50 kg\n Factor of Safety: 0.98\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": 205.5036788506634, + "fos_buckling": 0.9803404789084176, + "fos_yielding": 4.586344914424945, + "deflection": 0.008821412832227718, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.408)" + }, + "parent_node_id": "node_552", + "improvement_over_parent": null + }, + "node_554": { + "node_id": "node_554", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.59 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5948269793237, + "fos_buckling": 1.5257486811204553, + "fos_yielding": 4.603338008906624, + "deflection": 0.006970133000575425, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_553", + "improvement_over_parent": null + }, + "node_555": { + "node_id": "node_555", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_554", + "improvement_over_parent": null + }, + "node_556": { + "node_id": "node_556", + "content": "INITIAL DESIGN (Trace 78)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0039)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 175.66 kg\n Factor of Safety: 1.24\n Max Deflection: 9.13e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.6563113715846, + "fos_buckling": 1.2418531061511906, + "fos_yielding": 3.8059745490235404, + "deflection": 0.009127590862056636, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_557": { + "node_id": "node_557", + "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0039)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 182.91 kg\n Factor of Safety: 1.25\n Max Deflection: 8.87e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.91033068742013, + "fos_buckling": 1.2471174663447897, + "fos_yielding": 3.8070554504132983, + "deflection": 0.008867967090370202, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.546)" + }, + "parent_node_id": "node_556", + "improvement_over_parent": null + }, + "node_558": { + "node_id": "node_558", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 217.16 kg\n Factor of Safety: 1.44\n Max Deflection: 7.49e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.1623555749492, + "fos_buckling": 1.4354055534663155, + "fos_yielding": 4.513422156818448, + "deflection": 0.007493879198546053, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_557", + "improvement_over_parent": null + }, + "node_559": { + "node_id": "node_559", + "content": "MODIFICATION: Increase 1 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.60 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.59609025234622, + "fos_buckling": 1.5259953305633327, + "fos_yielding": 4.603833343949604, + "deflection": 0.006969981287617484, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.642)" + }, + "parent_node_id": "node_558", + "improvement_over_parent": null + }, + "node_560": { + "node_id": "node_560", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_559", + "improvement_over_parent": null + }, + "node_561": { + "node_id": "node_561", + "content": "INITIAL DESIGN (Trace 79)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 160.65 kg\n Factor of Safety: 0.84\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": 160.65307004238167, + "fos_buckling": 0.8422973745924209, + "fos_yielding": 4.232578838309532, + "deflection": 0.012758582581023008, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_562": { + "node_id": "node_562", + "content": "MODIFICATION: Increase 3 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 165.34 kg\n Factor of Safety: 0.84\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.33916741594237, + "fos_buckling": 0.8417782103936323, + "fos_yielding": 4.2308569315322275, + "deflection": 0.012766521350006691, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.381)" + }, + "parent_node_id": "node_561", + "improvement_over_parent": null + }, + "node_563": { + "node_id": "node_563", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n\nPerformance:\n Mass: 186.56 kg\n Factor of Safety: 0.86\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": 186.555207707365, + "fos_buckling": 0.8558054318693917, + "fos_yielding": 4.249931703824576, + "deflection": 0.012765281453112856, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005861)" + }, + "parent_node_id": "node_562", + "improvement_over_parent": null + }, + "node_564": { + "node_id": "node_564", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 225.12 kg\n Factor of Safety: 1.00\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": 225.11961953247004, + "fos_buckling": 0.9993078353336177, + "fos_yielding": 5.120438593001982, + "deflection": 0.010604700247659493, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_563", + "improvement_over_parent": null + }, + "node_565": { + "node_id": "node_565", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.50 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5043018440562, + "fos_buckling": 1.5252832937475642, + "fos_yielding": 4.601972612125552, + "deflection": 0.0069725646465685605, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_564", + "improvement_over_parent": null + }, + "node_566": { + "node_id": "node_566", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_565", + "improvement_over_parent": null + }, + "node_567": { + "node_id": "node_567", + "content": "INITIAL DESIGN (Trace 80)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 166.44 kg\n Factor of Safety: 0.87\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": 166.4447662480245, + "fos_buckling": 0.8718003598102895, + "fos_yielding": 4.322277120280583, + "deflection": 0.010689037062868504, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_568": { + "node_id": "node_568", + "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 172.99 kg\n Factor of Safety: 0.87\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": 172.99466169879622, + "fos_buckling": 0.8710502337245895, + "fos_yielding": 4.322277120280583, + "deflection": 0.010334309049947935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.342)" + }, + "parent_node_id": "node_567", + "improvement_over_parent": null + }, + "node_569": { + "node_id": "node_569", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.92 kg\n Factor of Safety: 1.00\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.91552226488295, + "fos_buckling": 1.0035717164408415, + "fos_yielding": 5.142634254836176, + "deflection": 0.008716716008473431, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_568", + "improvement_over_parent": null + }, + "node_570": { + "node_id": "node_570", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.57 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5748185417304, + "fos_buckling": 1.5257416884632984, + "fos_yielding": 4.603167980966797, + "deflection": 0.006970744148603176, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_569", + "improvement_over_parent": null + }, + "node_571": { + "node_id": "node_571", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_570", + "improvement_over_parent": null + }, + "node_572": { + "node_id": "node_572", + "content": "INITIAL DESIGN (Trace 81)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0021)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n\nPerformance:\n Mass: 97.82 kg\n Factor of Safety: 0.33\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": 97.82035971550945, + "fos_buckling": 0.32973072010152116, + "fos_yielding": 1.544252963222738, + "deflection": 0.02418576309082038, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_573": { + "node_id": "node_573", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0021)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n Mass: 114.37 kg\n Factor of Safety: 0.74\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": 114.36525762684346, + "fos_buckling": 0.7350884710967862, + "fos_yielding": 1.8531229214626734, + "deflection": 0.01379141333906273, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.003924)" + }, + "parent_node_id": "node_572", + "improvement_over_parent": null + }, + "node_574": { + "node_id": "node_574", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 145.64 kg\n Factor of Safety: 0.92\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.64075813363166, + "fos_buckling": 0.9207275498047999, + "fos_yielding": 2.3636005411353076, + "deflection": 0.0108670205459117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_573", + "improvement_over_parent": null + }, + "node_575": { + "node_id": "node_575", + "content": "MODIFICATION: Increase 6 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 146.31 kg\n Factor of Safety: 1.05\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.3122899222858, + "fos_buckling": 1.0536159010238042, + "fos_yielding": 2.968931796293922, + "deflection": 0.010743270660889594, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.277)" + }, + "parent_node_id": "node_574", + "improvement_over_parent": null + }, + "node_576": { + "node_id": "node_576", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 189.62 kg\n Factor of Safety: 1.32\n Max Deflection: 8.33e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.62405590346773, + "fos_buckling": 1.315093437395512, + "fos_yielding": 3.8421218437501334, + "deflection": 0.008330064485601966, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_575", + "improvement_over_parent": null + }, + "node_577": { + "node_id": "node_577", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.61043162927152, + "fos_buckling": 1.5259436880564377, + "fos_yielding": 4.60582646820492, + "deflection": 0.006969544248445182, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_576", + "improvement_over_parent": null + }, + "node_578": { + "node_id": "node_578", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_577", + "improvement_over_parent": null + }, + "node_579": { + "node_id": "node_579", + "content": "INITIAL DESIGN (Trace 82)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n Mass: 102.20 kg\n Factor of Safety: 0.20\n Max Deflection: 5.50e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 102.20167312979926, + "fos_buckling": 0.20218774204944154, + "fos_yielding": 1.669427483014789, + "deflection": 54968977528448.49, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_580": { + "node_id": "node_580", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n\nPerformance:\n Mass: 123.92 kg\n Factor of Safety: 0.71\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.92046046468732, + "fos_buckling": 0.7122848251209016, + "fos_yielding": 3.452196953710618, + "deflection": 0.016981400351085828, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005258)" + }, + "parent_node_id": "node_579", + "improvement_over_parent": null + }, + "node_581": { + "node_id": "node_581", + "content": "MODIFICATION: Increase 7 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0080)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n\nPerformance:\n Mass: 134.18 kg\n Factor of Safety: 0.71\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.17818900803294, + "fos_buckling": 0.7113085407896078, + "fos_yielding": 3.452196953710618, + "deflection": 0.015693616621294617, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.511)" + }, + "parent_node_id": "node_580", + "improvement_over_parent": null + }, + "node_582": { + "node_id": "node_582", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0080)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n\nPerformance:\n Mass: 135.78 kg\n Factor of Safety: 1.00\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.77721281306447, + "fos_buckling": 0.9988898542332072, + "fos_yielding": 3.452196953710618, + "deflection": 0.012433079681477086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002461)" + }, + "parent_node_id": "node_581", + "improvement_over_parent": null + }, + "node_583": { + "node_id": "node_583", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0093)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n Mass: 157.20 kg\n Factor of Safety: 1.12\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.19879973055083, + "fos_buckling": 1.116962306324495, + "fos_yielding": 3.9987711512553026, + "deflection": 0.010764697021595073, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_582", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0093)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 176.70 kg\n Factor of Safety: 1.24\n Max Deflection: 9.17e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.6967392954631, + "fos_buckling": 1.235717849777218, + "fos_yielding": 3.6340466523477146, + "deflection": 0.009172948796601842, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005413)" + }, + "parent_node_id": "node_583", + "improvement_over_parent": null + }, + "node_585": { + "node_id": "node_585", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0123)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.23 kg\n Factor of Safety: 1.52\n Max Deflection: 7.16e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.23235352083776, + "fos_buckling": 1.5209024047851716, + "fos_yielding": 4.670504021863115, + "deflection": 0.007161183217781345, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_584", + "improvement_over_parent": null + }, + "node_586": { + "node_id": "node_586", + "content": "MODIFICATION: Increase 0 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0123)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 234.00 kg\n Factor of Safety: 1.44\n Max Deflection: 6.82e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.99902274786734, + "fos_buckling": 1.4386619761632236, + "fos_yielding": 4.667893549961739, + "deflection": 0.006824718522781377, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.351)" + }, + "parent_node_id": "node_585", + "improvement_over_parent": null + }, + "node_587": { + "node_id": "node_587", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_586", + "improvement_over_parent": null + }, + "node_588": { + "node_id": "node_588", + "content": "INITIAL DESIGN (Trace 83)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 153.84 kg\n Factor of Safety: 0.87\n Max Deflection: 4.77e+11 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.8416030480293, + "fos_buckling": 0.8707915324889827, + "fos_yielding": 4.333833572164281, + "deflection": 477289106197.2849, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_589": { + "node_id": "node_589", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 181.57 kg\n Factor of Safety: 1.00\n Max Deflection: 1.92e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.57271646991944, + "fos_buckling": 1.0002657558249681, + "fos_yielding": 5.156422014658493, + "deflection": 1921023892378.124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_588", + "improvement_over_parent": null + }, + "node_590": { + "node_id": "node_590", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 183.96 kg\n Factor of Safety: 0.98\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": 183.9573987815056, + "fos_buckling": 0.9836055649083123, + "fos_yielding": 5.145943567092558, + "deflection": 0.010718852511256373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_589", + "improvement_over_parent": null + }, + "node_591": { + "node_id": "node_591", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n\nPerformance:\n Mass: 200.31 kg\n Factor of Safety: 1.00\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": 200.31435096079335, + "fos_buckling": 1.004839446759266, + "fos_yielding": 5.145943567092558, + "deflection": 0.008867096065616902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004973)" + }, + "parent_node_id": "node_590", + "improvement_over_parent": null + }, + "node_592": { + "node_id": "node_592", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 221.97 kg\n Factor of Safety: 1.44\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": 221.97364723764076, + "fos_buckling": 1.438239262301206, + "fos_yielding": 4.60510796283174, + "deflection": 0.0071132889945595655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_591", + "improvement_over_parent": null + }, + "node_593": { + "node_id": "node_593", + "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0071)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 223.45 kg\n Factor of Safety: 1.39\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.44551403135688, + "fos_buckling": 1.3887069360762858, + "fos_yielding": 4.605720338575884, + "deflection": 0.007051887038426359, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.385)" + }, + "parent_node_id": "node_592", + "improvement_over_parent": null + }, + "node_594": { + "node_id": "node_594", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_593", + "improvement_over_parent": null + }, + "node_595": { + "node_id": "node_595", + "content": "INITIAL DESIGN (Trace 84)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 190.37 kg\n Factor of Safety: 0.62\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.3701048153616, + "fos_buckling": 0.6163945968174207, + "fos_yielding": 3.456347231563791, + "deflection": 0.012169980764449266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_596": { + "node_id": "node_596", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 222.76 kg\n Factor of Safety: 1.40\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": 222.7637244554799, + "fos_buckling": 1.4015213548585004, + "fos_yielding": 4.356142204074984, + "deflection": 0.007118231288229623, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_595", + "improvement_over_parent": null + }, + "node_597": { + "node_id": "node_597", + "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 223.59 kg\n Factor of Safety: 1.49\n Max Deflection: 7.06e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.5903323274004, + "fos_buckling": 1.4869534230582244, + "fos_yielding": 4.630302635518091, + "deflection": 0.007056016897242521, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.256)" + }, + "parent_node_id": "node_596", + "improvement_over_parent": null + }, + "node_598": { + "node_id": "node_598", + "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0099)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 229.74 kg\n Factor of Safety: 1.53\n Max Deflection: 6.87e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 229.74492438201128, + "fos_buckling": 1.5308434347446915, + "fos_yielding": 4.661387811863047, + "deflection": 0.006868940783290812, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.211)" + }, + "parent_node_id": "node_597", + "improvement_over_parent": null + }, + "node_599": { + "node_id": "node_599", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_598", + "improvement_over_parent": null + }, + "node_600": { + "node_id": "node_600", + "content": "INITIAL DESIGN (Trace 85)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 116.02 kg\n Factor of Safety: 0.63\n Max Deflection: 1.17e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.01801975737892, + "fos_buckling": 0.6343401146243515, + "fos_yielding": 3.6548753404219045, + "deflection": 11748326623599.277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_601": { + "node_id": "node_601", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n\nPerformance:\n Mass: 130.30 kg\n Factor of Safety: 1.47\n Max Deflection: 1.18e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.30413196656693, + "fos_buckling": 1.4657093832817005, + "fos_yielding": 4.004329387114799, + "deflection": 11835079036060.977, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004354)" + }, + "parent_node_id": "node_600", + "improvement_over_parent": null + }, + "node_602": { + "node_id": "node_602", + "content": "MODIFICATION: Increase 2 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n\nPerformance:\n Mass: 135.20 kg\n Factor of Safety: 0.63\n Max Deflection: 1.28e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.20045977415515, + "fos_buckling": 0.6343401146243515, + "fos_yielding": 3.6548753404219045, + "deflection": 12811873382691.7, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.368)" + }, + "parent_node_id": "node_601", + "improvement_over_parent": null + }, + "node_603": { + "node_id": "node_603", + "content": "MODIFICATION: Increase 3 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0060)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n\nPerformance:\n Mass: 136.40 kg\n Factor of Safety: 0.63\n Max Deflection: 1.28e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.4011221695976, + "fos_buckling": 0.6343401146243515, + "fos_yielding": 3.6548753404219045, + "deflection": 12811873382691.7, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.351)" + }, + "parent_node_id": "node_602", + "improvement_over_parent": null + }, + "node_604": { + "node_id": "node_604", + "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0060)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n\nPerformance:\n Mass: 144.78 kg\n Factor of Safety: 0.93\n Max Deflection: 9.26e+13 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.7764527854448, + "fos_buckling": 0.9259200774367966, + "fos_yielding": 2.5296208228525607, + "deflection": 92579496883025.23, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.565)" + }, + "parent_node_id": "node_603", + "improvement_over_parent": null + }, + "node_605": { + "node_id": "node_605", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0060)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n\nPerformance:\n Mass: 167.16 kg\n Factor of Safety: 0.55\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.16168343850373, + "fos_buckling": 0.5524318427956374, + "fos_yielding": 4.09007137871434, + "deflection": 0.01348186990752319, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006211)" + }, + "parent_node_id": "node_604", + "improvement_over_parent": null + }, + "node_606": { + "node_id": "node_606", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0069)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 191.38 kg\n Factor of Safety: 0.62\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.38129031695382, + "fos_buckling": 0.616410291177735, + "fos_yielding": 4.677696002573624, + "deflection": 0.011811030211814979, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_605", + "improvement_over_parent": null + }, + "node_607": { + "node_id": "node_607", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0069)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 223.77 kg\n Factor of Safety: 1.47\n Max Deflection: 7.03e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.7749099570721, + "fos_buckling": 1.468190986028058, + "fos_yielding": 4.644843542755467, + "deflection": 0.007033016326396965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_606", + "improvement_over_parent": null + }, + "node_608": { + "node_id": "node_608", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_607", + "improvement_over_parent": null + }, + "node_609": { + "node_id": "node_609", + "content": "INITIAL DESIGN (Trace 86)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n\nPerformance:\n Mass: 115.11 kg\n Factor of Safety: 0.39\n Max Deflection: 2.14e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.11137143957573, + "fos_buckling": 0.38973330160720493, + "fos_yielding": 2.3523878154636497, + "deflection": 0.02140684268691517, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_610": { + "node_id": "node_610", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n\nPerformance:\n Mass: 145.28 kg\n Factor of Safety: 0.48\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.27635258276507, + "fos_buckling": 0.47667386627988056, + "fos_yielding": 2.963481702899505, + "deflection": 0.017004616552822573, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_609", + "improvement_over_parent": null + }, + "node_611": { + "node_id": "node_611", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n Mass: 170.43 kg\n Factor of Safety: 1.18\n Max Deflection: 9.19e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.42595732955903, + "fos_buckling": 1.1823569214474197, + "fos_yielding": 3.568005988890653, + "deflection": 0.009191268436440584, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006107)" + }, + "parent_node_id": "node_610", + "improvement_over_parent": null + }, + "node_612": { + "node_id": "node_612", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 222.24 kg\n Factor of Safety: 1.47\n Max Deflection: 7.09e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.24052958074336, + "fos_buckling": 1.4716040402795565, + "fos_yielding": 4.642089402317573, + "deflection": 0.007090351536703873, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.333)" + }, + "parent_node_id": "node_611", + "improvement_over_parent": null + }, + "node_613": { + "node_id": "node_613", + "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.69 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.69102432901786, + "fos_buckling": 1.5262011096652712, + "fos_yielding": 4.605241436130833, + "deflection": 0.006967334041286464, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.304)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 87)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 171.61 kg\n Factor of Safety: 0.59\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.60500263281347, + "fos_buckling": 0.5941115612615898, + "fos_yielding": 3.854227670782888, + "deflection": 0.013696632763161307, + "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: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 193.70 kg\n Factor of Safety: 0.59\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": 193.69615076147377, + "fos_buckling": 0.592392118779959, + "fos_yielding": 3.8514409655277353, + "deflection": 0.0121820061135165, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_615", + "improvement_over_parent": null + }, + "node_617": { + "node_id": "node_617", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 226.47 kg\n Factor of Safety: 1.29\n Max Deflection: 7.06e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.47374550435927, + "fos_buckling": 1.2906216045923713, + "fos_yielding": 3.958983114461979, + "deflection": 0.007064773175304623, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_616", + "improvement_over_parent": null + }, + "node_618": { + "node_id": "node_618", + "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0053)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.30 kg\n Factor of Safety: 1.29\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": 227.30026339725043, + "fos_buckling": 1.2873393419656187, + "fos_yielding": 3.948914770440535, + "deflection": 0.006999002852480911, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.397)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 88)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 180.27 kg\n Factor of Safety: 0.91\n Max Deflection: 9.86e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.27199152620355, + "fos_buckling": 0.9144970229839489, + "fos_yielding": 4.582018181305886, + "deflection": 0.00985791523233731, + "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 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n\nPerformance:\n Mass: 199.56 kg\n Factor of Safety: 1.36\n Max Deflection: 7.90e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.56126254785332, + "fos_buckling": 1.3569790211770991, + "fos_yielding": 4.103092034411504, + "deflection": 0.007896628207403418, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006007)" + }, + "parent_node_id": "node_620", + "improvement_over_parent": null + }, + "node_622": { + "node_id": "node_622", + "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n\nPerformance:\n Mass: 202.70 kg\n Factor of Safety: 1.39\n Max Deflection: 7.80e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.69861299954647, + "fos_buckling": 1.3896192857429674, + "fos_yielding": 4.103648504839704, + "deflection": 0.007804153461609545, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.206)" + }, + "parent_node_id": "node_621", + "improvement_over_parent": null + }, + "node_623": { + "node_id": "node_623", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.60 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6022371784236, + "fos_buckling": 1.5259169605434135, + "fos_yielding": 4.603937366065041, + "deflection": 0.006969717518592869, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_622", + "improvement_over_parent": null + }, + "node_624": { + "node_id": "node_624", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_623", + "improvement_over_parent": null + }, + "node_625": { + "node_id": "node_625", + "content": "INITIAL DESIGN (Trace 89)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 173.28 kg\n Factor of Safety: 1.09\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": 173.2802378695528, + "fos_buckling": 1.0866585536472666, + "fos_yielding": 3.7343236025422932, + "deflection": 0.009027757262320414, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_626": { + "node_id": "node_626", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 215.44 kg\n Factor of Safety: 1.32\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": 215.44035935131646, + "fos_buckling": 1.3195678644696411, + "fos_yielding": 4.632099783086805, + "deflection": 0.007295684935284039, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_625", + "improvement_over_parent": null + }, + "node_627": { + "node_id": "node_627", + "content": "MODIFICATION: Increase 3 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 219.60 kg\n Factor of Safety: 1.32\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": 219.6013463260384, + "fos_buckling": 1.3214995501524973, + "fos_yielding": 4.602879738137323, + "deflection": 0.007197331731948018, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.261)" + }, + "parent_node_id": "node_626", + "improvement_over_parent": null + }, + "node_628": { + "node_id": "node_628", + "content": "MODIFICATION: Increase 2 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.65 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.65444547535313, + "fos_buckling": 1.5261359266405874, + "fos_yielding": 4.604656783373159, + "deflection": 0.006968306356851822, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.629)" + }, + "parent_node_id": "node_627", + "improvement_over_parent": null + }, + "node_629": { + "node_id": "node_629", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_628", + "improvement_over_parent": null + }, + "node_630": { + "node_id": "node_630", + "content": "INITIAL DESIGN (Trace 90)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 152.35 kg\n Factor of Safety: 0.49\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": 152.35415125345355, + "fos_buckling": 0.48522477920362705, + "fos_yielding": 3.0263267109006113, + "deflection": 0.01568467499151825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_631": { + "node_id": "node_631", + "content": "MODIFICATION: Increase 5 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 152.79 kg\n Factor of Safety: 0.49\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.79032664782466, + "fos_buckling": 0.4851690287037981, + "fos_yielding": 3.0262401269110892, + "deflection": 0.015349604251472667, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.326)" + }, + "parent_node_id": "node_630", + "improvement_over_parent": null + }, + "node_632": { + "node_id": "node_632", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 178.49 kg\n Factor of Safety: 1.25\n Max Deflection: 8.84e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.4924649094387, + "fos_buckling": 1.2500075306566756, + "fos_yielding": 3.616271971089622, + "deflection": 0.008838475872994515, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006251)" + }, + "parent_node_id": "node_631", + "improvement_over_parent": null + }, + "node_633": { + "node_id": "node_633", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.60 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.59875421438875, + "fos_buckling": 1.5258359672538584, + "fos_yielding": 4.603508768171154, + "deflection": 0.006969901023637993, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_632", + "improvement_over_parent": null + }, + "node_634": { + "node_id": "node_634", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_633", + "improvement_over_parent": null + }, + "node_635": { + "node_id": "node_635", + "content": "INITIAL DESIGN (Trace 91)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 180.09 kg\n Factor of Safety: 1.21\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": 180.08581797472976, + "fos_buckling": 1.2103532776512134, + "fos_yielding": 3.8806776465931936, + "deflection": 0.008620803266765896, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_636": { + "node_id": "node_636", + "content": "MODIFICATION: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 186.86 kg\n Factor of Safety: 1.24\n Max Deflection: 8.42e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.8554227238416, + "fos_buckling": 1.2400208118849236, + "fos_yielding": 3.8816839285848026, + "deflection": 0.008416774632593021, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.493)" + }, + "parent_node_id": "node_635", + "improvement_over_parent": null + }, + "node_637": { + "node_id": "node_637", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 221.97 kg\n Factor of Safety: 1.44\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": 221.97468965851743, + "fos_buckling": 1.439590994352706, + "fos_yielding": 4.60417783892685, + "deflection": 0.007113248625476028, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_636", + "improvement_over_parent": null + }, + "node_638": { + "node_id": "node_638", + "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.69 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6938442961337, + "fos_buckling": 1.5262598898286164, + "fos_yielding": 4.605274748721809, + "deflection": 0.006967218133836231, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.383)" + }, + "parent_node_id": "node_637", + "improvement_over_parent": null + }, + "node_639": { + "node_id": "node_639", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_638", + "improvement_over_parent": null + }, + "node_640": { + "node_id": "node_640", + "content": "INITIAL DESIGN (Trace 92)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 188.20 kg\n Factor of Safety: 1.01\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": 188.19538181052198, + "fos_buckling": 1.0056211964203832, + "fos_yielding": 2.9893623627644716, + "deflection": 0.008996307665910181, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_641": { + "node_id": "node_641", + "content": "MODIFICATION: Increase 4 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 189.61 kg\n Factor of Safety: 1.01\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": 189.61439151416235, + "fos_buckling": 1.0056211964203834, + "fos_yielding": 2.9893623627644716, + "deflection": 0.008856380506582686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.527)" + }, + "parent_node_id": "node_640", + "improvement_over_parent": null + }, + "node_642": { + "node_id": "node_642", + "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 193.15 kg\n Factor of Safety: 1.01\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": 193.14536241669552, + "fos_buckling": 1.0051560312841603, + "fos_yielding": 2.9884388808552442, + "deflection": 0.00886036609210723, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.255)" + }, + "parent_node_id": "node_641", + "improvement_over_parent": null + }, + "node_643": { + "node_id": "node_643", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 218.26 kg\n Factor of Safety: 1.05\n Max Deflection: 7.41e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.26465739419646, + "fos_buckling": 1.0470055748723157, + "fos_yielding": 2.7197604171092875, + "deflection": 0.007408715928249134, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_642", + "improvement_over_parent": null + }, + "node_644": { + "node_id": "node_644", + "content": "MODIFICATION: Increase 6 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 219.26 kg\n Factor of Safety: 1.35\n Max Deflection: 7.28e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.256737482575, + "fos_buckling": 1.3462598628902067, + "fos_yielding": 3.6167230279048406, + "deflection": 0.007283721573613384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.364)" + }, + "parent_node_id": "node_643", + "improvement_over_parent": null + }, + "node_645": { + "node_id": "node_645", + "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 222.42 kg\n Factor of Safety: 1.34\n Max Deflection: 7.22e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.42125180662512, + "fos_buckling": 1.3403472015266926, + "fos_yielding": 3.600838681131168, + "deflection": 0.007216775141630993, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.188)" + }, + "parent_node_id": "node_644", + "improvement_over_parent": null + }, + "node_646": { + "node_id": "node_646", + "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 226.50 kg\n Factor of Safety: 1.34\n Max Deflection: 7.06e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.5021914075132, + "fos_buckling": 1.3399295637210191, + "fos_yielding": 3.5997166984361924, + "deflection": 0.0070562649115324194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.188)" + }, + "parent_node_id": "node_645", + "improvement_over_parent": null + }, + "node_647": { + "node_id": "node_647", + "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.62 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.62118101221316, + "fos_buckling": 1.5259638864462015, + "fos_yielding": 4.605520676575096, + "deflection": 0.00696923535804154, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.314)" + }, + "parent_node_id": "node_646", + "improvement_over_parent": null + }, + "node_648": { + "node_id": "node_648", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_647", + "improvement_over_parent": null + }, + "node_649": { + "node_id": "node_649", + "content": "INITIAL DESIGN (Trace 93)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 168.94 kg\n Factor of Safety: 0.90\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": 168.94145364697732, + "fos_buckling": 0.9044274942311125, + "fos_yielding": 4.515742794840407, + "deflection": 0.010228196962735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_650": { + "node_id": "node_650", + "content": "MODIFICATION: Increase 8 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 171.70 kg\n Factor of Safety: 0.90\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": 171.69529132937438, + "fos_buckling": 0.9041002408945277, + "fos_yielding": 4.515742794840407, + "deflection": 0.010099177091162998, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.212)" + }, + "parent_node_id": "node_649", + "improvement_over_parent": null + }, + "node_651": { + "node_id": "node_651", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n Mass: 193.73 kg\n Factor of Safety: 1.31\n Max Deflection: 8.11e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.73296852209234, + "fos_buckling": 1.3085206370584317, + "fos_yielding": 4.042451221152966, + "deflection": 0.00810611176208673, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006177)" + }, + "parent_node_id": "node_650", + "improvement_over_parent": null + }, + "node_652": { + "node_id": "node_652", + "content": "MODIFICATION: Increase 8 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n Mass: 199.72 kg\n Factor of Safety: 1.37\n Max Deflection: 7.92e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.71895344941666, + "fos_buckling": 1.372740940304011, + "fos_yielding": 4.043492173632204, + "deflection": 0.007918075174735445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.393)" + }, + "parent_node_id": "node_651", + "improvement_over_parent": null + }, + "node_653": { + "node_id": "node_653", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.53 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.53256907197775, + "fos_buckling": 1.525463645452152, + "fos_yielding": 4.6022680328724626, + "deflection": 0.006971922707091967, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_652", + "improvement_over_parent": null + }, + "node_654": { + "node_id": "node_654", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_653", + "improvement_over_parent": null + }, + "node_655": { + "node_id": "node_655", + "content": "INITIAL DESIGN (Trace 94)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 183.32 kg\n Factor of Safety: 0.43\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": 183.31509256425124, + "fos_buckling": 0.42862890844295515, + "fos_yielding": 4.25039141880889, + "deflection": 0.013976121919900419, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_656": { + "node_id": "node_656", + "content": "MODIFICATION: Increase 2 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 190.95 kg\n Factor of Safety: 0.62\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": 190.95487166053022, + "fos_buckling": 0.6162829653484102, + "fos_yielding": 4.245876035229589, + "deflection": 0.01227113421779776, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.580)" + }, + "parent_node_id": "node_655", + "improvement_over_parent": null + }, + "node_657": { + "node_id": "node_657", + "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 194.59 kg\n Factor of Safety: 0.62\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": 194.59247610214967, + "fos_buckling": 0.6159892353524896, + "fos_yielding": 4.201871028481283, + "deflection": 0.012213033873065854, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.186)" + }, + "parent_node_id": "node_656", + "improvement_over_parent": null + }, + "node_658": { + "node_id": "node_658", + "content": "MODIFICATION: Increase 5 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 195.23 kg\n Factor of Safety: 0.62\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": 195.23057766313352, + "fos_buckling": 0.615886250589073, + "fos_yielding": 4.261412105142736, + "deflection": 0.01190278502354772, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.401)" + }, + "parent_node_id": "node_657", + "improvement_over_parent": null + }, + "node_659": { + "node_id": "node_659", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.62 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6241973032518, + "fos_buckling": 1.525988410672922, + "fos_yielding": 4.604194255279411, + "deflection": 0.006969225225042198, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_658", + "improvement_over_parent": null + }, + "node_660": { + "node_id": "node_660", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_659", + "improvement_over_parent": null + }, + "node_661": { + "node_id": "node_661", + "content": "INITIAL DESIGN (Trace 95)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 165.02 kg\n Factor of Safety: 0.84\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": 165.0152457277486, + "fos_buckling": 0.8373296046853917, + "fos_yielding": 4.123144114468496, + "deflection": 0.010823685651641402, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_662": { + "node_id": "node_662", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n\nPerformance:\n Mass: 179.71 kg\n Factor of Safety: 1.24\n Max Deflection: 8.75e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.7124736251421, + "fos_buckling": 1.244477020398314, + "fos_yielding": 3.7120796532850124, + "deflection": 0.00874837095409271, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004487)" + }, + "parent_node_id": "node_661", + "improvement_over_parent": null + }, + "node_663": { + "node_id": "node_663", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n\nPerformance:\n Mass: 224.30 kg\n Factor of Safety: 1.49\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": 224.2983026723304, + "fos_buckling": 1.4923541961754636, + "fos_yielding": 4.624610176515108, + "deflection": 0.00704502590601253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_662", + "improvement_over_parent": null + }, + "node_664": { + "node_id": "node_664", + "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0061)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n\nPerformance:\n Mass: 225.06 kg\n Factor of Safety: 1.49\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": 225.0580323337594, + "fos_buckling": 1.4917436687765315, + "fos_yielding": 4.624992666089396, + "deflection": 0.007005200139405183, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.195)" + }, + "parent_node_id": "node_663", + "improvement_over_parent": null + }, + "node_665": { + "node_id": "node_665", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_664", + "improvement_over_parent": null + }, + "node_666": { + "node_id": "node_666", + "content": "INITIAL DESIGN (Trace 96)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 153.88 kg\n Factor of Safety: 0.62\n Max Deflection: 1.21e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.87982760612454, + "fos_buckling": 0.6202335322585713, + "fos_yielding": 3.5291698027628624, + "deflection": 12085603339235.135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_667": { + "node_id": "node_667", + "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 154.61 kg\n Factor of Safety: 0.62\n Max Deflection: 1.21e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.60944804584548, + "fos_buckling": 0.6202335322585713, + "fos_yielding": 3.5291698027628624, + "deflection": 12085603339235.135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.220)" + }, + "parent_node_id": "node_666", + "improvement_over_parent": null + }, + "node_668": { + "node_id": "node_668", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 180.23 kg\n Factor of Safety: 0.46\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.22597695514008, + "fos_buckling": 0.4638479881569355, + "fos_yielding": 3.1434326449550483, + "deflection": 0.013470308424075995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_667", + "improvement_over_parent": null + }, + "node_669": { + "node_id": "node_669", + "content": "MODIFICATION: Increase 3 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 187.26 kg\n Factor of Safety: 0.46\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.25904370939367, + "fos_buckling": 0.4634202696230204, + "fos_yielding": 3.1114429317037797, + "deflection": 0.01333027394346958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.527)" + }, + "parent_node_id": "node_668", + "improvement_over_parent": null + }, + "node_670": { + "node_id": "node_670", + "content": "MODIFICATION: Increase 6 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 188.94 kg\n Factor of Safety: 0.46\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.9444392931072, + "fos_buckling": 0.4634202696230205, + "fos_yielding": 4.264393385607362, + "deflection": 0.013187140486664748, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.553)" + }, + "parent_node_id": "node_669", + "improvement_over_parent": null + }, + "node_671": { + "node_id": "node_671", + "content": "MODIFICATION: Increase 2 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 195.23 kg\n Factor of Safety: 0.62\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.23482697599212, + "fos_buckling": 0.6158706263564973, + "fos_yielding": 4.261041120575405, + "deflection": 0.011902616123871773, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.437)" + }, + "parent_node_id": "node_670", + "improvement_over_parent": null + }, + "node_672": { + "node_id": "node_672", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6284466161104, + "fos_buckling": 1.5260053974168186, + "fos_yielding": 4.602226035548148, + "deflection": 0.006969173370744118, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_671", + "improvement_over_parent": null + }, + "node_673": { + "node_id": "node_673", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_672", + "improvement_over_parent": null + }, + "node_674": { + "node_id": "node_674", + "content": "INITIAL DESIGN (Trace 97)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 159.43 kg\n Factor of Safety: 0.62\n Max Deflection: 8.33e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.42887636862102, + "fos_buckling": 0.6202335322585713, + "fos_yielding": 3.654875340421904, + "deflection": 8329320750830.026, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_675": { + "node_id": "node_675", + "content": "MODIFICATION: Increase 0 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 165.53 kg\n Factor of Safety: 1.89\n Max Deflection: 2.09e+13 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 165.53141138157545, + "fos_buckling": 1.8863452114155745, + "fos_yielding": 5.270721077117076, + "deflection": 20875701230030.414, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.307)" + }, + "parent_node_id": "node_674", + "improvement_over_parent": null + }, + "node_676": { + "node_id": "node_676", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 197.93 kg\n Factor of Safety: 0.98\n Max Deflection: 8.81e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.92503102169374, + "fos_buckling": 0.9814492064664094, + "fos_yielding": 4.588106067222703, + "deflection": 0.008813487482438785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_675", + "improvement_over_parent": null + }, + "node_677": { + "node_id": "node_677", + "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 201.99 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.9925182607532, + "fos_buckling": 0.9809267026192414, + "fos_yielding": 4.587807880812872, + "deflection": 0.008818032676014404, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.248)" + }, + "parent_node_id": "node_676", + "improvement_over_parent": null + }, + "node_678": { + "node_id": "node_678", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6090471700478, + "fos_buckling": 1.525985450058531, + "fos_yielding": 4.604199519762466, + "deflection": 0.0069695732161821925, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_677", + "improvement_over_parent": null + }, + "node_679": { + "node_id": "node_679", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_678", + "improvement_over_parent": null + }, + "node_680": { + "node_id": "node_680", + "content": "INITIAL DESIGN (Trace 98)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\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_681": { + "node_id": "node_681", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 165.56 kg\n Factor of Safety: 0.21\n Max Deflection: 8.70e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.55569339387034, + "fos_buckling": 0.20853927698232727, + "fos_yielding": 1.2316574341160467, + "deflection": 86971018278936.92, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_680", + "improvement_over_parent": null + }, + "node_682": { + "node_id": "node_682", + "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 170.83 kg\n Factor of Safety: 0.13\n Max Deflection: 5.61e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.8349136165799, + "fos_buckling": 0.12538491634249366, + "fos_yielding": 1.84748615117407, + "deflection": 56110268365342.49, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.252)" + }, + "parent_node_id": "node_681", + "improvement_over_parent": null + }, + "node_683": { + "node_id": "node_683", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 192.49 kg\n Factor of Safety: 0.50\n Max Deflection: 3.54e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.49420989342735, + "fos_buckling": 0.4982204879180215, + "fos_yielding": 3.852039253909811, + "deflection": 0.035404690412813286, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_682", + "improvement_over_parent": null + }, + "node_684": { + "node_id": "node_684", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 194.88 kg\n Factor of Safety: 0.59\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.8788922050135, + "fos_buckling": 0.592349405414634, + "fos_yielding": 3.8514379607338523, + "deflection": 0.01209268074088203, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_683", + "improvement_over_parent": null + }, + "node_685": { + "node_id": "node_685", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.66 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.656486947899, + "fos_buckling": 1.5257140846009334, + "fos_yielding": 4.6043567927378835, + "deflection": 0.0069681253033498855, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_684", + "improvement_over_parent": null + }, + "node_686": { + "node_id": "node_686", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_685", + "improvement_over_parent": null + }, + "node_687": { + "node_id": "node_687", + "content": "INITIAL DESIGN (Trace 99)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n Mass: 110.37 kg\n Factor of Safety: 0.82\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": 110.36818347235115, + "fos_buckling": 0.819302690846772, + "fos_yielding": 2.2412644171834977, + "deflection": 0.014184287339548329, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_688": { + "node_id": "node_688", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n Mass: 135.33 kg\n Factor of Safety: 0.98\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.33292954906193, + "fos_buckling": 0.9836763600766261, + "fos_yielding": 2.7458987769791037, + "deflection": 0.011600552524071545, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_687", + "improvement_over_parent": null + }, + "node_689": { + "node_id": "node_689", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 157.24 kg\n Factor of Safety: 1.12\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": 157.24402359122226, + "fos_buckling": 1.121687891432786, + "fos_yielding": 3.1881028060571888, + "deflection": 0.010008876796121984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_688", + "improvement_over_parent": null + }, + "node_690": { + "node_id": "node_690", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 189.34 kg\n Factor of Safety: 1.31\n Max Deflection: 8.34e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.3391684174935, + "fos_buckling": 1.3133809910438397, + "fos_yielding": 3.8346535200551632, + "deflection": 0.008342424491656966, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_689", + "improvement_over_parent": null + }, + "node_691": { + "node_id": "node_691", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.61367694552234, + "fos_buckling": 1.5258874831823415, + "fos_yielding": 4.603850492853253, + "deflection": 0.006969524302757717, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_690", + "improvement_over_parent": null + }, + "node_692": { + "node_id": "node_692", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_691", + "improvement_over_parent": null + }, + "node_693": { + "node_id": "node_693", + "content": "INITIAL DESIGN (Trace 100)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n Mass: 147.66 kg\n Factor of Safety: 1.14\n Max Deflection: 8.34e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.6649918989887, + "fos_buckling": 1.1437798437786162, + "fos_yielding": 2.972860729303251, + "deflection": 8342913836648.34, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_694": { + "node_id": "node_694", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 176.01 kg\n Factor of Safety: 0.89\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": 176.00764819292323, + "fos_buckling": 0.8922591982349262, + "fos_yielding": 3.0052883559352415, + "deflection": 0.010115539628535036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006946)" + }, + "parent_node_id": "node_693", + "improvement_over_parent": null + }, + "node_695": { + "node_id": "node_695", + "content": "MODIFICATION: Increase 5 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 177.42 kg\n Factor of Safety: 0.89\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": 177.42093964655842, + "fos_buckling": 0.8922591982349262, + "fos_yielding": 3.7836004476187592, + "deflection": 0.010115539628535035, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.520)" + }, + "parent_node_id": "node_694", + "improvement_over_parent": null + }, + "node_696": { + "node_id": "node_696", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.21 kg\n Factor of Safety: 1.00\n Max Deflection: 8.77e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.20905759994662, + "fos_buckling": 1.003814386931462, + "fos_yielding": 4.381827607428773, + "deflection": 0.008774631547379242, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_695", + "improvement_over_parent": null + }, + "node_697": { + "node_id": "node_697", + "content": "MODIFICATION: Increase 3 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 206.00 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.99878220039392, + "fos_buckling": 1.0038143869314617, + "fos_yielding": 5.1458627668598975, + "deflection": 0.00871348258475438, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.242)" + }, + "parent_node_id": "node_696", + "improvement_over_parent": null + }, + "node_698": { + "node_id": "node_698", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.66 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.65807847724136, + "fos_buckling": 1.5260940304885828, + "fos_yielding": 4.606063316326536, + "deflection": 0.006968105617253768, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_697", + "improvement_over_parent": null + }, + "node_699": { + "node_id": "node_699", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_698", + "improvement_over_parent": null + }, + "node_700": { + "node_id": "node_700", + "content": "INITIAL DESIGN (Trace 101)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0025)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0011)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0037)]\n\nPerformance:\n Mass: 93.85 kg\n Factor of Safety: 0.52\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 93.85268092374169, + "fos_buckling": 0.5201651644349361, + "fos_yielding": 2.174036335728755, + "deflection": 0.0190705618918094, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_701": { + "node_id": "node_701", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0031)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n Mass: 118.76 kg\n Factor of Safety: 0.64\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.76203567037507, + "fos_buckling": 0.642197030199089, + "fos_yielding": 2.7477071797225854, + "deflection": 0.015113592176275337, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_700", + "improvement_over_parent": null + }, + "node_702": { + "node_id": "node_702", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 140.34 kg\n Factor of Safety: 0.74\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": 140.33675451956657, + "fos_buckling": 0.7425671721781422, + "fos_yielding": 3.243426019893204, + "deflection": 0.012821537171206765, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_701", + "improvement_over_parent": null + }, + "node_703": { + "node_id": "node_703", + "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 140.89 kg\n Factor of Safety: 0.74\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": 140.88725576192263, + "fos_buckling": 0.7424593291700737, + "fos_yielding": 3.2373906365793035, + "deflection": 0.012767404441765943, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.508)" + }, + "parent_node_id": "node_702", + "improvement_over_parent": null + }, + "node_704": { + "node_id": "node_704", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 162.39 kg\n Factor of Safety: 0.84\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.39287206653586, + "fos_buckling": 0.8372641078777905, + "fos_yielding": 3.727816683564874, + "deflection": 0.01110438274657044, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_703", + "improvement_over_parent": null + }, + "node_705": { + "node_id": "node_705", + "content": "MODIFICATION: Increase 1 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 169.15 kg\n Factor of Safety: 0.84\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.15252363298796, + "fos_buckling": 0.836520263513284, + "fos_yielding": 3.780117111833961, + "deflection": 0.01067047727249948, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.441)" + }, + "parent_node_id": "node_704", + "improvement_over_parent": null + }, + "node_706": { + "node_id": "node_706", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.51 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.5060680518895, + "fos_buckling": 0.9803654216778283, + "fos_yielding": 4.586464210155428, + "deflection": 0.008821348847062288, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_705", + "improvement_over_parent": null + }, + "node_707": { + "node_id": "node_707", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.60 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.59721618054982, + "fos_buckling": 1.5258352918190456, + "fos_yielding": 4.60345373660945, + "deflection": 0.00697003911961794, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_706", + "improvement_over_parent": null + }, + "node_708": { + "node_id": "node_708", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_707", + "improvement_over_parent": null + }, + "node_709": { + "node_id": "node_709", + "content": "INITIAL DESIGN (Trace 102)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0020)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n Mass: 161.62 kg\n Factor of Safety: 0.62\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.61579026768024, + "fos_buckling": 0.6196191570313032, + "fos_yielding": 2.5823067905403625, + "deflection": 0.014024917982892434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_710": { + "node_id": "node_710", + "content": "MODIFICATION: Increase 3 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n Mass: 162.61 kg\n Factor of Safety: 0.62\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.6120968891647, + "fos_buckling": 0.6196191570313032, + "fos_yielding": 3.991707234546718, + "deflection": 0.014024917982892432, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.577)" + }, + "parent_node_id": "node_709", + "improvement_over_parent": null + }, + "node_711": { + "node_id": "node_711", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n\nPerformance:\n Mass: 180.98 kg\n Factor of Safety: 0.66\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.97773751649248, + "fos_buckling": 0.6593439671781807, + "fos_yielding": 4.110093245278508, + "deflection": 0.013963706039677507, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005696)" + }, + "parent_node_id": "node_710", + "improvement_over_parent": null + }, + "node_712": { + "node_id": "node_712", + "content": "MODIFICATION: Increase 4 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n\nPerformance:\n Mass: 182.28 kg\n Factor of Safety: 0.66\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.2785375899889, + "fos_buckling": 0.6638036493968641, + "fos_yielding": 4.122411326727155, + "deflection": 0.013954087838087504, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.339)" + }, + "parent_node_id": "node_711", + "improvement_over_parent": null + }, + "node_713": { + "node_id": "node_713", + "content": "MODIFICATION: Increase 9 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0087)]\n\nPerformance:\n Mass: 190.85 kg\n Factor of Safety: 0.67\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.85136010497098, + "fos_buckling": 0.665078735751999, + "fos_yielding": 4.128128411063856, + "deflection": 0.013965632137501034, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.527)" + }, + "parent_node_id": "node_712", + "improvement_over_parent": null + }, + "node_714": { + "node_id": "node_714", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0074)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0104)]\n\nPerformance:\n Mass: 225.07 kg\n Factor of Safety: 0.77\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.06684841089796, + "fos_buckling": 0.7726428698862928, + "fos_yielding": 4.879924235903745, + "deflection": 0.01183898799781298, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_713", + "improvement_over_parent": null + }, + "node_715": { + "node_id": "node_715", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0074)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0104)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.45 kg\n Factor of Safety: 1.31\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.4515307224841, + "fos_buckling": 1.3050803788012424, + "fos_yielding": 4.121348461919577, + "deflection": 0.007234147237264965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 103)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0065)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 127.20 kg\n Factor of Safety: 0.16\n Max Deflection: 5.94e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.20334968351052, + "fos_buckling": 0.15771380080736308, + "fos_yielding": 0.9137188351054761, + "deflection": 59405340515940.6, + "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: Increase 5 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0065)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 128.88 kg\n Factor of Safety: 0.16\n Max Deflection: 5.94e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.88185732664576, + "fos_buckling": 0.15771380080736308, + "fos_yielding": 0.9137188351054761, + "deflection": 59405340515940.6, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.634)" + }, + "parent_node_id": "node_717", + "improvement_over_parent": null + }, + "node_719": { + "node_id": "node_719", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 142.42 kg\n Factor of Safety: 0.85\n Max Deflection: 2.26e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.41653788571605, + "fos_buckling": 0.8538117064692594, + "fos_yielding": 5.142955876772016, + "deflection": 22551700179994.98, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_718", + "improvement_over_parent": null + }, + "node_720": { + "node_id": "node_720", + "content": "MODIFICATION: Increase 0 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 147.99 kg\n Factor of Safety: 0.43\n Max Deflection: 3.49e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.99425223681726, + "fos_buckling": 0.4269058532346297, + "fos_yielding": 4.820167701541311, + "deflection": 34933640878180.215, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.274)" + }, + "parent_node_id": "node_719", + "improvement_over_parent": null + }, + "node_721": { + "node_id": "node_721", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 170.09 kg\n Factor of Safety: 0.62\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.08540036547757, + "fos_buckling": 0.6181491757270342, + "fos_yielding": 4.26477173416512, + "deflection": 0.01341114461441239, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_720", + "improvement_over_parent": null + }, + "node_722": { + "node_id": "node_722", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 202.48 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.47902000559586, + "fos_buckling": 1.0039916460712577, + "fos_yielding": 5.142955876772016, + "deflection": 0.008713712158187963, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_721", + "improvement_over_parent": null + }, + "node_723": { + "node_id": "node_723", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.60 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5983149830968, + "fos_buckling": 1.5257058259163263, + "fos_yielding": 4.602052084595543, + "deflection": 0.006970123998241402, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_722", + "improvement_over_parent": null + }, + "node_724": { + "node_id": "node_724", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_723", + "improvement_over_parent": null + }, + "node_725": { + "node_id": "node_725", + "content": "INITIAL DESIGN (Trace 104)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 136.78 kg\n Factor of Safety: 0.30\n Max Deflection: 5.30e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.77793112374164, + "fos_buckling": 0.30040434262686594, + "fos_yielding": 3.0668020723608667, + "deflection": 0.053016615253561133, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_726": { + "node_id": "node_726", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n Mass: 138.67 kg\n Factor of Safety: 0.42\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.67167985910737, + "fos_buckling": 0.423335417403648, + "fos_yielding": 3.0664208897836454, + "deflection": 0.01676559622144361, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002948)" + }, + "parent_node_id": "node_725", + "improvement_over_parent": null + }, + "node_727": { + "node_id": "node_727", + "content": "MODIFICATION: Increase 7 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0082)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n Mass: 147.08 kg\n Factor of Safety: 0.42\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.08071518305601, + "fos_buckling": 0.42286619779662604, + "fos_yielding": 3.065574923500366, + "deflection": 0.01658959085067959, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.460)" + }, + "parent_node_id": "node_726", + "improvement_over_parent": null + }, + "node_728": { + "node_id": "node_728", + "content": "MODIFICATION: Increase 2 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0082)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n Mass: 152.72 kg\n Factor of Safety: 0.42\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.71568441703806, + "fos_buckling": 0.42255235118652723, + "fos_yielding": 3.0650082951291533, + "deflection": 0.016261849077815776, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.508)" + }, + "parent_node_id": "node_727", + "improvement_over_parent": null + }, + "node_729": { + "node_id": "node_729", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0105)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 192.20 kg\n Factor of Safety: 0.52\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.2049336665133, + "fos_buckling": 0.5154773130035728, + "fos_yielding": 3.8533290091084065, + "deflection": 0.012949779779356851, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_728", + "improvement_over_parent": null + }, + "node_730": { + "node_id": "node_730", + "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0105)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 195.53 kg\n Factor of Safety: 0.59\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.52672754783396, + "fos_buckling": 0.5922308099780956, + "fos_yielding": 3.852072238941679, + "deflection": 0.012354543566890901, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.199)" + }, + "parent_node_id": "node_729", + "improvement_over_parent": null + }, + "node_731": { + "node_id": "node_731", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0105)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 228.30 kg\n Factor of Safety: 1.31\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.30432229071945, + "fos_buckling": 1.3091229723796172, + "fos_yielding": 4.609328358007984, + "deflection": 0.007179350155472304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_730", + "improvement_over_parent": null + }, + "node_732": { + "node_id": "node_732", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_731", + "improvement_over_parent": null + }, + "node_733": { + "node_id": "node_733", + "content": "INITIAL DESIGN (Trace 105)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\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_734": { + "node_id": "node_734", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 196.45 kg\n Factor of Safety: 0.98\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": 196.45136996952664, + "fos_buckling": 0.9816547118138237, + "fos_yielding": 4.58799177373156, + "deflection": 0.010050734788105945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_733", + "improvement_over_parent": null + }, + "node_735": { + "node_id": "node_735", + "content": "MODIFICATION: Increase 0 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 205.54 kg\n Factor of Safety: 0.98\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": 205.53901701598136, + "fos_buckling": 0.980487622416293, + "fos_yielding": 4.587203485855704, + "deflection": 0.008820155417073379, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.529)" + }, + "parent_node_id": "node_734", + "improvement_over_parent": null + }, + "node_736": { + "node_id": "node_736", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63016514464167, + "fos_buckling": 1.5259782076140729, + "fos_yielding": 4.604200014424322, + "deflection": 0.006969065002146974, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_735", + "improvement_over_parent": null + }, + "node_737": { + "node_id": "node_737", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_736", + "improvement_over_parent": null + }, + "node_738": { + "node_id": "node_738", + "content": "INITIAL DESIGN (Trace 106)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0028)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n Mass: 95.54 kg\n Factor of Safety: 0.62\n Max Deflection: 2.18e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 95.54263145880762, + "fos_buckling": 0.6219521050473146, + "fos_yielding": 2.9952538891823393, + "deflection": 0.02178917829488424, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_739": { + "node_id": "node_739", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0028)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n\nPerformance:\n Mass: 108.39 kg\n Factor of Safety: 0.64\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 108.38899420266789, + "fos_buckling": 0.6356587023306869, + "fos_yielding": 2.9952538891823393, + "deflection": 0.017593389204036993, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003850)" + }, + "parent_node_id": "node_738", + "improvement_over_parent": null + }, + "node_740": { + "node_id": "node_740", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0032)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n\nPerformance:\n Mass: 124.40 kg\n Factor of Safety: 0.72\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.40411381286371, + "fos_buckling": 0.7172881743147762, + "fos_yielding": 3.435427391242393, + "deflection": 0.015346672402438147, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_739", + "improvement_over_parent": null + }, + "node_741": { + "node_id": "node_741", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n\nPerformance:\n Mass: 154.47 kg\n Factor of Safety: 0.86\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.4656226841641, + "fos_buckling": 0.8621721675187201, + "fos_yielding": 4.2598304780203, + "deflection": 0.012386672404181724, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_740", + "improvement_over_parent": null + }, + "node_742": { + "node_id": "node_742", + "content": "MODIFICATION: Increase 1 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n\nPerformance:\n Mass: 162.58 kg\n Factor of Safety: 0.86\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.58081522938005, + "fos_buckling": 0.861251791576408, + "fos_yielding": 4.2598304780203, + "deflection": 0.010774138105756887, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.572)" + }, + "parent_node_id": "node_741", + "improvement_over_parent": null + }, + "node_743": { + "node_id": "node_743", + "content": "MODIFICATION: Increase 0 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n\nPerformance:\n Mass: 167.61 kg\n Factor of Safety: 0.86\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.60605242152593, + "fos_buckling": 0.8606828441433922, + "fos_yielding": 4.2598304780203, + "deflection": 0.010482256431654475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.299)" + }, + "parent_node_id": "node_742", + "improvement_over_parent": null + }, + "node_744": { + "node_id": "node_744", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 202.56 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.55586026120037, + "fos_buckling": 1.0043100294675882, + "fos_yielding": 5.146039065790433, + "deflection": 0.008710521970732974, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_743", + "improvement_over_parent": null + }, + "node_745": { + "node_id": "node_745", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.68 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6751552387013, + "fos_buckling": 1.526160246988245, + "fos_yielding": 4.604824452493901, + "deflection": 0.006967594102846215, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_744", + "improvement_over_parent": null + }, + "node_746": { + "node_id": "node_746", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_745", + "improvement_over_parent": null + }, + "node_747": { + "node_id": "node_747", + "content": "INITIAL DESIGN (Trace 107)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n Mass: 109.81 kg\n Factor of Safety: 0.36\n Max Deflection: 2.54e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 109.81447312117453, + "fos_buckling": 0.35821614844103133, + "fos_yielding": 1.9429747471170533, + "deflection": 0.025397384185864635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_748": { + "node_id": "node_748", + "content": "MODIFICATION: Increase 5 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n Mass: 110.29 kg\n Factor of Safety: 0.45\n Max Deflection: 2.44e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.29488187956244, + "fos_buckling": 0.45422006062321496, + "fos_yielding": 2.062919632035556, + "deflection": 0.024375309312528442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.412)" + }, + "parent_node_id": "node_747", + "improvement_over_parent": null + }, + "node_749": { + "node_id": "node_749", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n Mass: 128.15 kg\n Factor of Safety: 0.52\n Max Deflection: 2.10e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.1519805822237, + "fos_buckling": 0.5157494404578475, + "fos_yielding": 2.400842436796265, + "deflection": 0.0210265725203263, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_748", + "improvement_over_parent": null + }, + "node_750": { + "node_id": "node_750", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 155.65 kg\n Factor of Safety: 0.53\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.65212512836123, + "fos_buckling": 0.5344474244618035, + "fos_yielding": 2.9063426410627335, + "deflection": 0.014244861302316857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006723)" + }, + "parent_node_id": "node_749", + "improvement_over_parent": null + }, + "node_751": { + "node_id": "node_751", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n\nPerformance:\n Mass: 182.83 kg\n Factor of Safety: 1.10\n Max Deflection: 8.86e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.8287587759262, + "fos_buckling": 1.1033217718664015, + "fos_yielding": 2.8859467660211773, + "deflection": 0.008857283134673115, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006683)" + }, + "parent_node_id": "node_750", + "improvement_over_parent": null + }, + "node_752": { + "node_id": "node_752", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 218.07 kg\n Factor of Safety: 1.29\n Max Deflection: 7.45e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.07277551179945, + "fos_buckling": 1.2921876234256655, + "fos_yielding": 3.4515182464227787, + "deflection": 0.007451209591766249, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_751", + "improvement_over_parent": null + }, + "node_753": { + "node_id": "node_753", + "content": "MODIFICATION: Increase 0 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 226.38 kg\n Factor of Safety: 1.29\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.37970741039877, + "fos_buckling": 1.2912700662983434, + "fos_yielding": 3.4490673909048377, + "deflection": 0.007072304338773333, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.464)" + }, + "parent_node_id": "node_752", + "improvement_over_parent": null + }, + "node_754": { + "node_id": "node_754", + "content": "MODIFICATION: Increase 6 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.67 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6660473559345, + "fos_buckling": 1.5261778686294651, + "fos_yielding": 4.605303910157614, + "deflection": 0.006967880980495311, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.377)" + }, + "parent_node_id": "node_753", + "improvement_over_parent": null + }, + "node_755": { + "node_id": "node_755", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_754", + "improvement_over_parent": null + }, + "node_756": { + "node_id": "node_756", + "content": "INITIAL DESIGN (Trace 108)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0028)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n\nPerformance:\n Mass: 94.39 kg\n Factor of Safety: 0.23\n Max Deflection: 5.34e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 94.39132756933778, + "fos_buckling": 0.22689994901400146, + "fos_yielding": 1.2801789977574316, + "deflection": 53392199453407.27, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_757": { + "node_id": "node_757", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0028)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n\nPerformance:\n Mass: 95.91 kg\n Factor of Safety: 0.85\n Max Deflection: 4.34e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 95.91046494327519, + "fos_buckling": 0.8489144683209717, + "fos_yielding": 2.226244056643966, + "deflection": 43381763118287.31, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002331)" + }, + "parent_node_id": "node_756", + "improvement_over_parent": null + }, + "node_758": { + "node_id": "node_758", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0028)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n\nPerformance:\n Mass: 112.23 kg\n Factor of Safety: 0.42\n Max Deflection: 1.99e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.22808493949566, + "fos_buckling": 0.4225518768294477, + "fos_yielding": 2.7277661933618416, + "deflection": 0.01985627562260291, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004429)" + }, + "parent_node_id": "node_757", + "improvement_over_parent": null + }, + "node_759": { + "node_id": "node_759", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0028)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n\nPerformance:\n Mass: 132.86 kg\n Factor of Safety: 0.72\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": 132.86082205986628, + "fos_buckling": 0.7221616224953937, + "fos_yielding": 2.91311169780477, + "deflection": 0.012145444408161945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.004980)" + }, + "parent_node_id": "node_758", + "improvement_over_parent": null + }, + "node_760": { + "node_id": "node_760", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0040)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n\nPerformance:\n Mass: 171.19 kg\n Factor of Safety: 0.91\n Max Deflection: 9.46e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.1937778678547, + "fos_buckling": 0.9130179058874357, + "fos_yielding": 3.74529879299128, + "deflection": 0.009458760691238929, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_759", + "improvement_over_parent": null + }, + "node_761": { + "node_id": "node_761", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 209.16 kg\n Factor of Safety: 1.09\n Max Deflection: 7.77e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.15807476013956, + "fos_buckling": 1.094363474178936, + "fos_yielding": 4.565542294566662, + "deflection": 0.007768176015004154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_760", + "improvement_over_parent": null + }, + "node_762": { + "node_id": "node_762", + "content": "MODIFICATION: Increase 10 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0131)]\n\nPerformance:\n Mass: 226.37 kg\n Factor of Safety: 1.09\n Max Deflection: 7.38e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.36841594193658, + "fos_buckling": 1.0948646583436619, + "fos_yielding": 4.562111656956609, + "deflection": 0.007376636291779312, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.623)" + }, + "parent_node_id": "node_761", + "improvement_over_parent": null + }, + "node_763": { + "node_id": "node_763", + "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0131)]\n\nPerformance:\n Mass: 233.09 kg\n Factor of Safety: 1.17\n Max Deflection: 7.12e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.09024442439613, + "fos_buckling": 1.1666113728496679, + "fos_yielding": 4.5074141085470325, + "deflection": 0.007121253932455256, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.493)" + }, + "parent_node_id": "node_762", + "improvement_over_parent": null + }, + "node_764": { + "node_id": "node_764", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_763", + "improvement_over_parent": null + }, + "node_765": { + "node_id": "node_765", + "content": "INITIAL DESIGN (Trace 109)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 186.10 kg\n Factor of Safety: 1.01\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": 186.10169396807353, + "fos_buckling": 1.0063628050598257, + "fos_yielding": 5.143771275167358, + "deflection": 0.009912050534855091, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_766": { + "node_id": "node_766", + "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 192.60 kg\n Factor of Safety: 1.01\n Max Deflection: 9.61e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.60398665741857, + "fos_buckling": 1.0055052726149132, + "fos_yielding": 5.1437712751673565, + "deflection": 0.009614232804533742, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.333)" + }, + "parent_node_id": "node_765", + "improvement_over_parent": null + }, + "node_767": { + "node_id": "node_767", + "content": "MODIFICATION: Increase 7 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 199.72 kg\n Factor of Safety: 1.00\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": 199.72075032410632, + "fos_buckling": 1.004568376332672, + "fos_yielding": 5.1437712751673565, + "deflection": 0.009430660812350453, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.422)" + }, + "parent_node_id": "node_766", + "improvement_over_parent": null + }, + "node_768": { + "node_id": "node_768", + "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.97 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.97461575974987, + "fos_buckling": 1.003746517545097, + "fos_yielding": 5.1437712751673565, + "deflection": 0.008714654273352485, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.312)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63391203659728, + "fos_buckling": 1.5260061012455528, + "fos_yielding": 4.604183256730417, + "deflection": 0.00696893917673538, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_768", + "improvement_over_parent": null + }, + "node_770": { + "node_id": "node_770", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_769", + "improvement_over_parent": null + }, + "node_771": { + "node_id": "node_771", + "content": "INITIAL DESIGN (Trace 110)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 160.56 kg\n Factor of Safety: 0.83\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": 160.560061947907, + "fos_buckling": 0.8335760102960342, + "fos_yielding": 2.120433136209527, + "deflection": 0.01002408331649707, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_772": { + "node_id": "node_772", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0070)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0073)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0065)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 204.48 kg\n Factor of Safety: 1.04\n Max Deflection: 7.91e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.48308520815118, + "fos_buckling": 1.0448453603915817, + "fos_yielding": 2.7150724678148017, + "deflection": 0.007905428647599145, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_771", + "improvement_over_parent": null + }, + "node_773": { + "node_id": "node_773", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 225.34 kg\n Factor of Safety: 1.14\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": 225.33838360737167, + "fos_buckling": 1.142610055587153, + "fos_yielding": 3.000158950349518, + "deflection": 0.007188569906281162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_772", + "improvement_over_parent": null + }, + "node_774": { + "node_id": "node_774", + "content": "MODIFICATION: Increase 6 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.13 kg\n Factor of Safety: 1.51\n Max Deflection: 7.02e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.12646786429207, + "fos_buckling": 1.5143215734321962, + "fos_yielding": 4.610034551124644, + "deflection": 0.00702403885514675, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.605)" + }, + "parent_node_id": "node_773", + "improvement_over_parent": null + }, + "node_775": { + "node_id": "node_775", + "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.53 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.52722528858362, + "fos_buckling": 1.5254442973236282, + "fos_yielding": 4.603228681622157, + "deflection": 0.006972111402312143, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.222)" + }, + "parent_node_id": "node_774", + "improvement_over_parent": null + }, + "node_776": { + "node_id": "node_776", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_775", + "improvement_over_parent": null + }, + "node_777": { + "node_id": "node_777", + "content": "INITIAL DESIGN (Trace 111)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n Mass: 140.61 kg\n Factor of Safety: 0.48\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.61198633961976, + "fos_buckling": 0.47787168711142314, + "fos_yielding": 3.6855653517230023, + "deflection": 0.017049002279304216, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_778": { + "node_id": "node_778", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n\nPerformance:\n Mass: 159.29 kg\n Factor of Safety: 0.48\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": 159.28740556165152, + "fos_buckling": 0.47669717857970056, + "fos_yielding": 3.6826915829129154, + "deflection": 0.014761954000939282, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005800)" + }, + "parent_node_id": "node_777", + "improvement_over_parent": null + }, + "node_779": { + "node_id": "node_779", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 184.79 kg\n Factor of Safety: 0.54\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": 184.7920456167305, + "fos_buckling": 0.5407984923836838, + "fos_yielding": 4.262616002639885, + "deflection": 0.01275659379460011, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_778", + "improvement_over_parent": null + }, + "node_780": { + "node_id": "node_780", + "content": "MODIFICATION: Increase 9 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0089)]\n\nPerformance:\n Mass: 190.65 kg\n Factor of Safety: 0.54\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.64945674777974, + "fos_buckling": 0.5403832690659509, + "fos_yielding": 4.261575450016817, + "deflection": 0.012657305242935181, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.307)" + }, + "parent_node_id": "node_779", + "improvement_over_parent": null + }, + "node_781": { + "node_id": "node_781", + "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0089)]\n\nPerformance:\n Mass: 193.88 kg\n Factor of Safety: 0.62\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.87864026311132, + "fos_buckling": 0.6163505066564076, + "fos_yielding": 4.259855598363749, + "deflection": 0.012106598726088512, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.188)" + }, + "parent_node_id": "node_780", + "improvement_over_parent": null + }, + "node_782": { + "node_id": "node_782", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0089)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 226.27 kg\n Factor of Safety: 1.36\n Max Deflection: 7.14e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.2722599032296, + "fos_buckling": 1.359162362543834, + "fos_yielding": 4.5221010940175015, + "deflection": 0.007140338534066358, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_781", + "improvement_over_parent": null + }, + "node_783": { + "node_id": "node_783", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_782", + "improvement_over_parent": null + }, + "node_784": { + "node_id": "node_784", + "content": "INITIAL DESIGN (Trace 112)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n\nPerformance:\n Mass: 137.46 kg\n Factor of Safety: 0.44\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.45732410653946, + "fos_buckling": 0.4433070418692385, + "fos_yielding": 2.7246084195956852, + "deflection": 0.017033079535969636, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_785": { + "node_id": "node_785", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 156.01 kg\n Factor of Safety: 0.49\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.00523197393733, + "fos_buckling": 0.49375932653135823, + "fos_yielding": 3.0894423736365106, + "deflection": 0.01503898414608903, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_784", + "improvement_over_parent": null + }, + "node_786": { + "node_id": "node_786", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 182.25 kg\n Factor of Safety: 1.27\n Max Deflection: 8.66e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.25040325793833, + "fos_buckling": 1.272173195428858, + "fos_yielding": 3.6919311607923935, + "deflection": 0.008659973003716258, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006393)" + }, + "parent_node_id": "node_785", + "improvement_over_parent": null + }, + "node_787": { + "node_id": "node_787", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.73 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.73204958783217, + "fos_buckling": 1.5265891562613254, + "fos_yielding": 4.60617587090709, + "deflection": 0.006965982852558923, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_786", + "improvement_over_parent": null + }, + "node_788": { + "node_id": "node_788", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_787", + "improvement_over_parent": null + }, + "node_789": { + "node_id": "node_789", + "content": "INITIAL DESIGN (Trace 113)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\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_790": { + "node_id": "node_790", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n\nPerformance:\n Mass: 113.84 kg\n Factor of Safety: 0.45\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.83876594130453, + "fos_buckling": 0.44980903343365214, + "fos_yielding": 2.596977883635003, + "deflection": 0.016727976296443767, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003914)" + }, + "parent_node_id": "node_789", + "improvement_over_parent": null + }, + "node_791": { + "node_id": "node_791", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n\nPerformance:\n Mass: 128.81 kg\n Factor of Safety: 0.74\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.81453123604035, + "fos_buckling": 0.7429597541579794, + "fos_yielding": 2.293253263399946, + "deflection": 0.012486470853794174, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004090)" + }, + "parent_node_id": "node_790", + "improvement_over_parent": null + }, + "node_792": { + "node_id": "node_792", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0037)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n Mass: 154.77 kg\n Factor of Safety: 0.88\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.76540613446903, + "fos_buckling": 0.8803590661972819, + "fos_yielding": 2.756962679710212, + "deflection": 0.010419201144546458, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_791", + "improvement_over_parent": null + }, + "node_793": { + "node_id": "node_793", + "content": "MODIFICATION: Increase 6 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0037)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n Mass: 158.89 kg\n Factor of Safety: 0.88\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.89166991528256, + "fos_buckling": 0.8810052145921441, + "fos_yielding": 2.756165038762712, + "deflection": 0.010188234230326462, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.192)" + }, + "parent_node_id": "node_792", + "improvement_over_parent": null + }, + "node_794": { + "node_id": "node_794", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0079)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 185.13 kg\n Factor of Safety: 1.01\n Max Deflection: 8.77e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.12660787001576, + "fos_buckling": 1.0126731337886292, + "fos_yielding": 3.21470239479422, + "deflection": 0.008765846062549551, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_793", + "improvement_over_parent": null + }, + "node_795": { + "node_id": "node_795", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0097)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 222.22 kg\n Factor of Safety: 1.19\n Max Deflection: 7.33e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.21706257540382, + "fos_buckling": 1.1921757858766422, + "fos_yielding": 3.8652745255727856, + "deflection": 0.007327707511444495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_794", + "improvement_over_parent": null + }, + "node_796": { + "node_id": "node_796", + "content": "MODIFICATION: Increase 10 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0097)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0108)]\n\nPerformance:\n Mass: 233.42 kg\n Factor of Safety: 1.26\n Max Deflection: 7.12e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.42405451498593, + "fos_buckling": 1.2606335398419968, + "fos_yielding": 3.823265797743939, + "deflection": 0.007119808843956735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.517)" + }, + "parent_node_id": "node_795", + "improvement_over_parent": null + }, + "node_797": { + "node_id": "node_797", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_796", + "improvement_over_parent": null + }, + "node_798": { + "node_id": "node_798", + "content": "INITIAL DESIGN (Trace 114)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 121.91 kg\n Factor of Safety: 0.68\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": 121.91414305740605, + "fos_buckling": 0.6802507922432248, + "fos_yielding": 2.9877564742832656, + "deflection": 0.014433143954495492, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_799": { + "node_id": "node_799", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 149.20 kg\n Factor of Safety: 0.81\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.20108586660015, + "fos_buckling": 0.8087006246391882, + "fos_yielding": 3.6497633849606737, + "deflection": 0.011832736854505093, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_798", + "improvement_over_parent": null + }, + "node_800": { + "node_id": "node_800", + "content": "MODIFICATION: Increase 8 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 156.65 kg\n Factor of Safety: 0.81\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": 156.64612598134002, + "fos_buckling": 0.8079080996298778, + "fos_yielding": 3.5896755602323207, + "deflection": 0.011435437646614753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.645)" + }, + "parent_node_id": "node_799", + "improvement_over_parent": null + }, + "node_801": { + "node_id": "node_801", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 198.72 kg\n Factor of Safety: 0.98\n Max Deflection: 9.06e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.72315407274004, + "fos_buckling": 0.9814137844261295, + "fos_yielding": 4.544772271576998, + "deflection": 0.009060178958171242, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_800", + "improvement_over_parent": null + }, + "node_802": { + "node_id": "node_802", + "content": "MODIFICATION: Increase 3 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 199.55 kg\n Factor of Safety: 0.98\n Max Deflection: 9.06e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.55014782912514, + "fos_buckling": 0.9814137844261295, + "fos_yielding": 4.544772271576998, + "deflection": 0.009060178958171242, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.256)" + }, + "parent_node_id": "node_801", + "improvement_over_parent": null + }, + "node_803": { + "node_id": "node_803", + "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.60 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.6046734856537, + "fos_buckling": 0.9806364236761758, + "fos_yielding": 4.588205187256467, + "deflection": 0.00881750900923665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.299)" + }, + "parent_node_id": "node_802", + "improvement_over_parent": null + }, + "node_804": { + "node_id": "node_804", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.70 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.695821614314, + "fos_buckling": 1.5260115313568945, + "fos_yielding": 4.605208489865307, + "deflection": 0.006966920175903216, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 115)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 156.25 kg\n Factor of Safety: 0.56\n Max Deflection: 2.96e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.24977259265836, + "fos_buckling": 0.5561047386195394, + "fos_yielding": 5.115973236325442, + "deflection": 29626939035636.1, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_807": { + "node_id": "node_807", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 181.37 kg\n Factor of Safety: 0.50\n Max Deflection: 3.88e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.3690675701593, + "fos_buckling": 0.4986256336381247, + "fos_yielding": 3.853442243805636, + "deflection": 0.038785072439565624, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_806", + "improvement_over_parent": null + }, + "node_808": { + "node_id": "node_808", + "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 186.36 kg\n Factor of Safety: 0.50\n Max Deflection: 3.66e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.36196854974543, + "fos_buckling": 0.4986256336381247, + "fos_yielding": 3.8528123145205977, + "deflection": 0.03658152345097686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.239)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 219.14 kg\n Factor of Safety: 1.00\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": 219.13956329263092, + "fos_buckling": 0.9994864906369889, + "fos_yielding": 5.121236145482798, + "deflection": 0.010590575034952766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_808", + "improvement_over_parent": null + }, + "node_810": { + "node_id": "node_810", + "content": "MODIFICATION: Increase 2 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 225.26 kg\n Factor of Safety: 1.00\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.2557967763, + "fos_buckling": 0.9996953478649163, + "fos_yielding": 5.122949027197728, + "deflection": 0.010599094014668737, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.420)" + }, + "parent_node_id": "node_809", + "improvement_over_parent": null + }, + "node_811": { + "node_id": "node_811", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.64047908788615, + "fos_buckling": 1.5259929423651977, + "fos_yielding": 4.604193645017884, + "deflection": 0.00696876103910751, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_810", + "improvement_over_parent": null + }, + "node_812": { + "node_id": "node_812", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_811", + "improvement_over_parent": null + }, + "node_813": { + "node_id": "node_813", + "content": "INITIAL DESIGN (Trace 116)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, 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_814": { + "node_id": "node_814", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n\nPerformance:\n Mass: 120.45 kg\n Factor of Safety: 0.64\n Max Deflection: 8.81e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.45378086530812, + "fos_buckling": 0.6431446276270907, + "fos_yielding": 3.6548753404219045, + "deflection": 8808940906978.465, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005609)" + }, + "parent_node_id": "node_813", + "improvement_over_parent": null + }, + "node_815": { + "node_id": "node_815", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n\nPerformance:\n Mass: 146.21 kg\n Factor of Safety: 0.81\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.21184701822392, + "fos_buckling": 0.8145976073922744, + "fos_yielding": 4.092299001960398, + "deflection": 0.013414677126122414, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006308)" + }, + "parent_node_id": "node_814", + "improvement_over_parent": null + }, + "node_816": { + "node_id": "node_816", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n\nPerformance:\n Mass: 163.43 kg\n Factor of Safety: 0.81\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": 163.43479893286502, + "fos_buckling": 0.8127523312248276, + "fos_yielding": 3.6531178352825227, + "deflection": 0.011036127560499754, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005315)" + }, + "parent_node_id": "node_815", + "improvement_over_parent": null + }, + "node_817": { + "node_id": "node_817", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n\nPerformance:\n Mass: 181.00 kg\n Factor of Safety: 1.26\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.0011562178298, + "fos_buckling": 1.2647681446026138, + "fos_yielding": 3.6668354869337154, + "deflection": 0.008718525358326509, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005368)" + }, + "parent_node_id": "node_816", + "improvement_over_parent": null + }, + "node_818": { + "node_id": "node_818", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.50 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.4973987499107, + "fos_buckling": 1.5252647376560695, + "fos_yielding": 4.6015342180639704, + "deflection": 0.006972992704821495, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_817", + "improvement_over_parent": null + }, + "node_819": { + "node_id": "node_819", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_818", + "improvement_over_parent": null + }, + "node_820": { + "node_id": "node_820", + "content": "INITIAL DESIGN (Trace 117)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n Mass: 157.75 kg\n Factor of Safety: 0.59\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": 157.75267310645876, + "fos_buckling": 0.5908648940409155, + "fos_yielding": 4.2323512710749025, + "deflection": 0.016595261018781737, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_821": { + "node_id": "node_821", + "content": "MODIFICATION: Increase 0 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n Mass: 165.00 kg\n Factor of Safety: 0.62\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.00472245011227, + "fos_buckling": 0.6154658065325621, + "fos_yielding": 4.175142844299641, + "deflection": 0.015154535687227216, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.497)" + }, + "parent_node_id": "node_820", + "improvement_over_parent": null + }, + "node_822": { + "node_id": "node_822", + "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n Mass: 169.17 kg\n Factor of Safety: 0.63\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.1714598202889, + "fos_buckling": 0.62736181870407, + "fos_yielding": 4.149444011781924, + "deflection": 0.014488722837774958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.200)" + }, + "parent_node_id": "node_821", + "improvement_over_parent": null + }, + "node_823": { + "node_id": "node_823", + "content": "MODIFICATION: Increase 9 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 178.26 kg\n Factor of Safety: 0.85\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.25807644537076, + "fos_buckling": 0.8496812730799452, + "fos_yielding": 4.2186411593426465, + "deflection": 0.012871347029876891, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.548)" + }, + "parent_node_id": "node_822", + "improvement_over_parent": null + }, + "node_824": { + "node_id": "node_824", + "content": "MODIFICATION: Increase 8 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 184.99 kg\n Factor of Safety: 0.85\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.99398828013418, + "fos_buckling": 0.8495187211079592, + "fos_yielding": 4.214660649711545, + "deflection": 0.012871361363114613, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.522)" + }, + "parent_node_id": "node_823", + "improvement_over_parent": null + }, + "node_825": { + "node_id": "node_825", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n\nPerformance:\n Mass: 186.95 kg\n Factor of Safety: 1.30\n Max Deflection: 8.45e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.95272017155938, + "fos_buckling": 1.2995170364043427, + "fos_yielding": 3.786975541864979, + "deflection": 0.00844637423505183, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003057)" + }, + "parent_node_id": "node_824", + "improvement_over_parent": null + }, + "node_826": { + "node_id": "node_826", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.64221947628505, + "fos_buckling": 1.525992490856967, + "fos_yielding": 4.604839521357034, + "deflection": 0.006968455350505628, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_825", + "improvement_over_parent": null + }, + "node_827": { + "node_id": "node_827", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_826", + "improvement_over_parent": null + }, + "node_828": { + "node_id": "node_828", + "content": "INITIAL DESIGN (Trace 118)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 185.64 kg\n Factor of Safety: 1.21\n Max Deflection: 8.57e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.63804852041946, + "fos_buckling": 1.2122949583620972, + "fos_yielding": 4.078013136806344, + "deflection": 0.00856924592460632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_829": { + "node_id": "node_829", + "content": "MODIFICATION: Increase 0 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 192.23 kg\n Factor of Safety: 1.21\n Max Deflection: 8.19e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.23465334037996, + "fos_buckling": 1.2050696605054267, + "fos_yielding": 4.075783005112832, + "deflection": 0.008187953952677912, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.401)" + }, + "parent_node_id": "node_828", + "improvement_over_parent": null + }, + "node_830": { + "node_id": "node_830", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 220.30 kg\n Factor of Safety: 1.36\n Max Deflection: 7.17e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.29742109007327, + "fos_buckling": 1.3588587828366663, + "fos_yielding": 4.664646967296969, + "deflection": 0.007167349729572724, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_829", + "improvement_over_parent": null + }, + "node_831": { + "node_id": "node_831", + "content": "MODIFICATION: Increase 3 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.68 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6761153737238, + "fos_buckling": 1.526084187914706, + "fos_yielding": 4.605323420158153, + "deflection": 0.00696742174706318, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.567)" + }, + "parent_node_id": "node_830", + "improvement_over_parent": null + }, + "node_832": { + "node_id": "node_832", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_831", + "improvement_over_parent": null + }, + "node_833": { + "node_id": "node_833", + "content": "INITIAL DESIGN (Trace 119)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n\nPerformance:\n Mass: 96.82 kg\n Factor of Safety: 0.07\n Max Deflection: 2.60e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 96.81802779709813, + "fos_buckling": 0.07369023822879331, + "fos_yielding": 0.7568559001533979, + "deflection": 260101188515359.2, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_834": { + "node_id": "node_834", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n\nPerformance:\n Mass: 106.95 kg\n Factor of Safety: 0.31\n Max Deflection: 6.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 106.952415477906, + "fos_buckling": 0.30659460899305097, + "fos_yielding": 2.1980021901720854, + "deflection": 0.0633405515181171, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003005)" + }, + "parent_node_id": "node_833", + "improvement_over_parent": null + }, + "node_835": { + "node_id": "node_835", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n\nPerformance:\n Mass: 108.31 kg\n Factor of Safety: 0.37\n Max Deflection: 2.12e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 108.30774967777454, + "fos_buckling": 0.36684925426118997, + "fos_yielding": 2.197806365796886, + "deflection": 0.021236715709683895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002067)" + }, + "parent_node_id": "node_834", + "improvement_over_parent": null + }, + "node_836": { + "node_id": "node_836", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n\nPerformance:\n Mass: 124.29 kg\n Factor of Safety: 0.41\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.29130831181004, + "fos_buckling": 0.41418237072080355, + "fos_yielding": 2.5197874377783576, + "deflection": 0.01854044330162545, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_835", + "improvement_over_parent": null + }, + "node_837": { + "node_id": "node_837", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n\nPerformance:\n Mass: 162.68 kg\n Factor of Safety: 0.52\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.67896258950594, + "fos_buckling": 0.5208700481960109, + "fos_yielding": 3.2905664848632274, + "deflection": 0.014229314078199615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.333)" + }, + "parent_node_id": "node_836", + "improvement_over_parent": null + }, + "node_838": { + "node_id": "node_838", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 190.63 kg\n Factor of Safety: 1.30\n Max Deflection: 8.26e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.62547773389272, + "fos_buckling": 1.3032174450212293, + "fos_yielding": 3.9314332968694363, + "deflection": 0.008255974361907004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006841)" + }, + "parent_node_id": "node_837", + "improvement_over_parent": null + }, + "node_839": { + "node_id": "node_839", + "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0072)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 194.81 kg\n Factor of Safety: 1.30\n Max Deflection: 8.16e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.8098730510528, + "fos_buckling": 1.3013488115113567, + "fos_yielding": 3.909983606739034, + "deflection": 0.008157662326835916, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.250)" + }, + "parent_node_id": "node_838", + "improvement_over_parent": null + }, + "node_840": { + "node_id": "node_840", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0085)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 228.45 kg\n Factor of Safety: 1.48\n Max Deflection: 6.98e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.45432803498065, + "fos_buckling": 1.4818688247192804, + "fos_yielding": 4.581181213705768, + "deflection": 0.0069811415682513615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_839", + "improvement_over_parent": null + }, + "node_841": { + "node_id": "node_841", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_840", + "improvement_over_parent": null + }, + "node_842": { + "node_id": "node_842", + "content": "INITIAL DESIGN (Trace 120)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0031)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n Mass: 111.71 kg\n Factor of Safety: 0.73\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 111.70688280549618, + "fos_buckling": 0.7273832958931156, + "fos_yielding": 2.337612418825735, + "deflection": 0.014124895183562965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_843": { + "node_id": "node_843", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n\nPerformance:\n Mass: 123.97 kg\n Factor of Safety: 0.80\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": 123.96803333434102, + "fos_buckling": 0.8007890568239472, + "fos_yielding": 2.592770453010022, + "deflection": 0.01274484974893023, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_842", + "improvement_over_parent": null + }, + "node_844": { + "node_id": "node_844", + "content": "MODIFICATION: Increase 7 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n\nPerformance:\n Mass: 127.70 kg\n Factor of Safety: 0.93\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": 127.70022769380299, + "fos_buckling": 0.9342079160419614, + "fos_yielding": 2.5916325833738405, + "deflection": 0.01228325574734136, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.271)" + }, + "parent_node_id": "node_843", + "improvement_over_parent": null + }, + "node_845": { + "node_id": "node_845", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n Mass: 165.32 kg\n Factor of Safety: 1.17\n Max Deflection: 9.53e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.32307565131717, + "fos_buckling": 1.1710832417512105, + "fos_yielding": 3.350896780781521, + "deflection": 0.009528433809064844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_844", + "improvement_over_parent": null + }, + "node_846": { + "node_id": "node_846", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 193.03 kg\n Factor of Safety: 1.33\n Max Deflection: 8.19e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.03257321157844, + "fos_buckling": 1.3346196944479936, + "fos_yielding": 3.9088632051340038, + "deflection": 0.008186189462373202, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_845", + "improvement_over_parent": null + }, + "node_847": { + "node_id": "node_847", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.83 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.82639553623613, + "fos_buckling": 1.526989941339412, + "fos_yielding": 4.608000597986824, + "deflection": 0.006963166797983644, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_846", + "improvement_over_parent": null + }, + "node_848": { + "node_id": "node_848", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_847", + "improvement_over_parent": null + }, + "node_849": { + "node_id": "node_849", + "content": "INITIAL DESIGN (Trace 121)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\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_850": { + "node_id": "node_850", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 202.02 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.01645834631773, + "fos_buckling": 0.9809396807241817, + "fos_yielding": 4.587806023380328, + "deflection": 0.008817302366464028, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_849", + "improvement_over_parent": null + }, + "node_851": { + "node_id": "node_851", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63298725561233, + "fos_buckling": 1.5259788749908192, + "fos_yielding": 4.604199109896495, + "deflection": 0.006968967111365604, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_850", + "improvement_over_parent": null + }, + "node_852": { + "node_id": "node_852", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_851", + "improvement_over_parent": null + }, + "node_853": { + "node_id": "node_853", + "content": "INITIAL DESIGN (Trace 122)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\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_854": { + "node_id": "node_854", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n\nPerformance:\n Mass: 140.28 kg\n Factor of Safety: 0.76\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": 140.2790245252258, + "fos_buckling": 0.7646487042706575, + "fos_yielding": 3.356860995073946, + "deflection": 0.012247428236225873, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.003360)" + }, + "parent_node_id": "node_853", + "improvement_over_parent": null + }, + "node_855": { + "node_id": "node_855", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n\nPerformance:\n Mass: 160.26 kg\n Factor of Safety: 0.86\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": 160.26124879322984, + "fos_buckling": 0.855116960569231, + "fos_yielding": 3.8301405313562276, + "deflection": 0.010749287584095733, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_854", + "improvement_over_parent": null + }, + "node_856": { + "node_id": "node_856", + "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0091)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n\nPerformance:\n Mass: 170.44 kg\n Factor of Safety: 0.85\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.44300057238075, + "fos_buckling": 0.8539728241436805, + "fos_yielding": 3.785419890337979, + "deflection": 0.01049467338618095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.543)" + }, + "parent_node_id": "node_855", + "improvement_over_parent": null + }, + "node_857": { + "node_id": "node_857", + "content": "MODIFICATION: Increase 1 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0091)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n\nPerformance:\n Mass: 176.28 kg\n Factor of Safety: 0.85\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.28258104396042, + "fos_buckling": 0.853318003529393, + "fos_yielding": 3.8289937457666805, + "deflection": 0.010198018357378293, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.350)" + }, + "parent_node_id": "node_856", + "improvement_over_parent": null + }, + "node_858": { + "node_id": "node_858", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0091)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n\nPerformance:\n Mass: 194.91 kg\n Factor of Safety: 1.24\n Max Deflection: 8.29e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.90951879026912, + "fos_buckling": 1.2425118240363981, + "fos_yielding": 3.8424852081621585, + "deflection": 0.00829230979103494, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005718)" + }, + "parent_node_id": "node_857", + "improvement_over_parent": null + }, + "node_859": { + "node_id": "node_859", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0110)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 231.03 kg\n Factor of Safety: 1.43\n Max Deflection: 7.02e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.03306279075562, + "fos_buckling": 1.429156091422897, + "fos_yielding": 4.554373126384043, + "deflection": 0.0070170542425936535, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_858", + "improvement_over_parent": null + }, + "node_860": { + "node_id": "node_860", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_859", + "improvement_over_parent": null + }, + "node_861": { + "node_id": "node_861", + "content": "INITIAL DESIGN (Trace 123)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0021)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n Mass: 104.88 kg\n Factor of Safety: 0.31\n Max Deflection: 2.25e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 104.88018888537388, + "fos_buckling": 0.30797771719510814, + "fos_yielding": 3.11139368074591, + "deflection": 0.02249694087069578, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_862": { + "node_id": "node_862", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0021)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n\nPerformance:\n Mass: 118.88 kg\n Factor of Safety: 0.63\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.8792899704604, + "fos_buckling": 0.6292087396990422, + "fos_yielding": 3.209190727221658, + "deflection": 0.015253217043105904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004215)" + }, + "parent_node_id": "node_861", + "improvement_over_parent": null + }, + "node_863": { + "node_id": "node_863", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0023)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n\nPerformance:\n Mass: 133.10 kg\n Factor of Safety: 0.70\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": 133.10288952564485, + "fos_buckling": 0.7010887591584597, + "fos_yielding": 3.5903227364159123, + "deflection": 0.01364246169852734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_862", + "improvement_over_parent": null + }, + "node_864": { + "node_id": "node_864", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0023)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n\nPerformance:\n Mass: 148.47 kg\n Factor of Safety: 0.69\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.47073522711486, + "fos_buckling": 0.6858430079651057, + "fos_yielding": 3.27897257734873, + "deflection": 0.011272813181540518, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004705)" + }, + "parent_node_id": "node_863", + "improvement_over_parent": null + }, + "node_865": { + "node_id": "node_865", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0027)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n\nPerformance:\n Mass: 167.87 kg\n Factor of Safety: 0.77\n Max Deflection: 9.99e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.86905210082756, + "fos_buckling": 0.7706831176662036, + "fos_yielding": 3.7035276628500178, + "deflection": 0.009985794253641857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_864", + "improvement_over_parent": null + }, + "node_866": { + "node_id": "node_866", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 209.47 kg\n Factor of Safety: 0.95\n Max Deflection: 8.03e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.46975562334626, + "fos_buckling": 0.9489547280579377, + "fos_yielding": 4.610831408082739, + "deflection": 0.008028942457979867, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_865", + "improvement_over_parent": null + }, + "node_867": { + "node_id": "node_867", + "content": "MODIFICATION: Increase 7 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0114)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 222.34 kg\n Factor of Safety: 0.95\n Max Deflection: 7.86e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.34434254470776, + "fos_buckling": 0.9456657462650779, + "fos_yielding": 4.5566289575722445, + "deflection": 0.007859799470346804, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.600)" + }, + "parent_node_id": "node_866", + "improvement_over_parent": null + }, + "node_868": { + "node_id": "node_868", + "content": "MODIFICATION: Increase 7 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0170)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 236.69 kg\n Factor of Safety: 0.94\n Max Deflection: 7.76e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.69160938573575, + "fos_buckling": 0.9429788376391758, + "fos_yielding": 4.520515661732168, + "deflection": 0.007758802765362527, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.490)" + }, + "parent_node_id": "node_867", + "improvement_over_parent": null + }, + "node_869": { + "node_id": "node_869", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_868", + "improvement_over_parent": null + }, + "node_870": { + "node_id": "node_870", + "content": "INITIAL DESIGN (Trace 124)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0035)]\n\nPerformance:\n Mass: 142.80 kg\n Factor of Safety: 0.53\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.80397964924973, + "fos_buckling": 0.525797928052166, + "fos_yielding": 3.3638662636887533, + "deflection": 0.017754222852814538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_871": { + "node_id": "node_871", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n Mass: 181.55 kg\n Factor of Safety: 0.66\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.5536455198933, + "fos_buckling": 0.6561735244144836, + "fos_yielding": 4.268159450174279, + "deflection": 0.013980476599737657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_870", + "improvement_over_parent": null + }, + "node_872": { + "node_id": "node_872", + "content": "MODIFICATION: Increase 9 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 190.54 kg\n Factor of Safety: 0.87\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.53541673895134, + "fos_buckling": 0.8710959505491523, + "fos_yielding": 4.339795491324881, + "deflection": 0.012503130545738357, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.517)" + }, + "parent_node_id": "node_871", + "improvement_over_parent": null + }, + "node_873": { + "node_id": "node_873", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 225.06 kg\n Factor of Safety: 1.00\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": 225.05956810536665, + "fos_buckling": 0.9990443525144558, + "fos_yielding": 5.118960189107751, + "deflection": 0.01060858630724136, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_872", + "improvement_over_parent": null + }, + "node_874": { + "node_id": "node_874", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.44 kg\n Factor of Safety: 1.52\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.4442504169528, + "fos_buckling": 1.5247531307401414, + "fos_yielding": 4.60055484609701, + "deflection": 0.0069744812255348185, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_873", + "improvement_over_parent": null + }, + "node_875": { + "node_id": "node_875", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_874", + "improvement_over_parent": null + }, + "node_876": { + "node_id": "node_876", + "content": "INITIAL DESIGN (Trace 125)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 132.81 kg\n Factor of Safety: 0.75\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.81099973052176, + "fos_buckling": 0.7458767191689808, + "fos_yielding": 2.2719213700441085, + "deflection": 0.01636331995853765, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_877": { + "node_id": "node_877", + "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 138.27 kg\n Factor of Safety: 0.75\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.27232237022898, + "fos_buckling": 0.7464246048245299, + "fos_yielding": 2.2719213700441085, + "deflection": 0.014987765564509155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.410)" + }, + "parent_node_id": "node_876", + "improvement_over_parent": null + }, + "node_878": { + "node_id": "node_878", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n\nPerformance:\n Mass: 153.50 kg\n Factor of Safety: 0.74\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.49592574895084, + "fos_buckling": 0.7378075647658034, + "fos_yielding": 2.279575815166317, + "deflection": 0.015016885230832364, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004658)" + }, + "parent_node_id": "node_877", + "improvement_over_parent": null + }, + "node_879": { + "node_id": "node_879", + "content": "MODIFICATION: Increase 5 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0090)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n\nPerformance:\n Mass: 166.45 kg\n Factor of Safety: 0.77\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.4475908359773, + "fos_buckling": 0.7664500297095864, + "fos_yielding": 2.2498657272956004, + "deflection": 0.013588747531933667, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.631)" + }, + "parent_node_id": "node_878", + "improvement_over_parent": null + }, + "node_880": { + "node_id": "node_880", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0118)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n\nPerformance:\n Mass: 213.01 kg\n Factor of Safety: 0.95\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.00993390363482, + "fos_buckling": 0.9459969266647066, + "fos_yielding": 2.9036619754858566, + "deflection": 0.010655277270928224, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_879", + "improvement_over_parent": null + }, + "node_881": { + "node_id": "node_881", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0118)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n Mass: 215.16 kg\n Factor of Safety: 1.03\n Max Deflection: 7.57e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.16029085149282, + "fos_buckling": 1.029420763743976, + "fos_yielding": 2.6694463755335263, + "deflection": 0.007569049442395051, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003382)" + }, + "parent_node_id": "node_880", + "improvement_over_parent": null + }, + "node_882": { + "node_id": "node_882", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0132)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 238.36 kg\n Factor of Safety: 1.13\n Max Deflection: 6.84e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.3602472010061, + "fos_buckling": 1.1329315953049668, + "fos_yielding": 2.9700539255481697, + "deflection": 0.006844654865030099, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_881", + "improvement_over_parent": null + }, + "node_883": { + "node_id": "node_883", + "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0132)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0086)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 243.37 kg\n Factor of Safety: 1.13\n Max Deflection: 6.78e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.36562941717827, + "fos_buckling": 1.1277088027183948, + "fos_yielding": 2.956362034803525, + "deflection": 0.006778196498605661, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.261)" + }, + "parent_node_id": "node_882", + "improvement_over_parent": null + }, + "node_884": { + "node_id": "node_884", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_883", + "improvement_over_parent": null + }, + "node_885": { + "node_id": "node_885", + "content": "INITIAL DESIGN (Trace 126)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n Mass: 158.59 kg\n Factor of Safety: 0.68\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": 158.59021646944754, + "fos_buckling": 0.6831035892706081, + "fos_yielding": 4.474592715150599, + "deflection": 0.011708987008650282, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_886": { + "node_id": "node_886", + "content": "MODIFICATION: Increase 9 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 166.30 kg\n Factor of Safety: 0.90\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": 166.30207540044495, + "fos_buckling": 0.898183525355954, + "fos_yielding": 4.474592715150599, + "deflection": 0.010538460806786583, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.401)" + }, + "parent_node_id": "node_885", + "improvement_over_parent": null + }, + "node_887": { + "node_id": "node_887", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n Mass: 188.14 kg\n Factor of Safety: 1.05\n Max Deflection: 8.57e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.13890104258365, + "fos_buckling": 1.04779846456346, + "fos_yielding": 4.010510772187736, + "deflection": 0.008570623506440653, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006116)" + }, + "parent_node_id": "node_886", + "improvement_over_parent": null + }, + "node_888": { + "node_id": "node_888", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 216.67 kg\n Factor of Safety: 1.19\n Max Deflection: 7.46e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.66916113271765, + "fos_buckling": 1.188440628591314, + "fos_yielding": 4.611843511988629, + "deflection": 0.00746296456532335, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_887", + "improvement_over_parent": null + }, + "node_889": { + "node_id": "node_889", + "content": "MODIFICATION: Increase 7 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.82 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.8226426573786, + "fos_buckling": 1.5273924765567666, + "fos_yielding": 4.607644095637854, + "deflection": 0.0069632165446437775, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.575)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 127)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 198.12 kg\n Factor of Safety: 1.00\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": 198.12261646403235, + "fos_buckling": 1.0048784269989723, + "fos_yielding": 5.1437712751673565, + "deflection": 0.00901589565548642, + "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 4 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 198.88 kg\n Factor of Safety: 1.00\n Max Deflection: 8.98e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.88036983949954, + "fos_buckling": 1.0046790184159367, + "fos_yielding": 5.1437712751673565, + "deflection": 0.008979296853904346, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.511)" + }, + "parent_node_id": "node_891", + "improvement_over_parent": null + }, + "node_893": { + "node_id": "node_893", + "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.96 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.9578140756868, + "fos_buckling": 1.0037488235142331, + "fos_yielding": 5.1437712751673565, + "deflection": 0.00871493271344215, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.307)" + }, + "parent_node_id": "node_892", + "improvement_over_parent": null + }, + "node_894": { + "node_id": "node_894", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.62 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6171103525342, + "fos_buckling": 1.5259475788210546, + "fos_yielding": 4.60422115811351, + "deflection": 0.006969502247079787, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_893", + "improvement_over_parent": null + }, + "node_895": { + "node_id": "node_895", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_894", + "improvement_over_parent": null + }, + "node_896": { + "node_id": "node_896", + "content": "INITIAL DESIGN (Trace 128)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 145.97 kg\n Factor of Safety: 0.85\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": 145.96671012925822, + "fos_buckling": 0.8539934495377766, + "fos_yielding": 4.082051674085544, + "deflection": 23515252558362.367, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_897": { + "node_id": "node_897", + "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 147.14 kg\n Factor of Safety: 0.85\n Max Deflection: 2.35e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.14256389930623, + "fos_buckling": 0.8539934495377766, + "fos_yielding": 4.082051674085544, + "deflection": 23515252558362.367, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.404)" + }, + "parent_node_id": "node_896", + "improvement_over_parent": null + }, + "node_898": { + "node_id": "node_898", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 168.80 kg\n Factor of Safety: 0.33\n Max Deflection: 2.07e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.80186017615364, + "fos_buckling": 0.3292170262832514, + "fos_yielding": 1.8274376702109523, + "deflection": 20695822712058.684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_897", + "improvement_over_parent": null + }, + "node_899": { + "node_id": "node_899", + "content": "MODIFICATION: Increase 5 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0086)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 171.26 kg\n Factor of Safety: 0.33\n Max Deflection: 2.07e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.25945248283455, + "fos_buckling": 0.3292170262832514, + "fos_yielding": 1.8274376702109523, + "deflection": 20695822712058.684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.570)" + }, + "parent_node_id": "node_898", + "improvement_over_parent": null + }, + "node_900": { + "node_id": "node_900", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0086)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 203.65 kg\n Factor of Safety: 0.98\n Max Deflection: 8.75e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.65307212295284, + "fos_buckling": 0.9811332482975665, + "fos_yielding": 6.263321857782736, + "deflection": 0.008746775575756028, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_899", + "improvement_over_parent": null + }, + "node_901": { + "node_id": "node_901", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0086)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 229.27 kg\n Factor of Safety: 1.29\n Max Deflection: 7.00e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.26960103224744, + "fos_buckling": 1.2901027262022178, + "fos_yielding": 5.371961807924119, + "deflection": 0.007002784576758093, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_900", + "improvement_over_parent": null + }, + "node_902": { + "node_id": "node_902", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_901", + "improvement_over_parent": null + }, + "node_903": { + "node_id": "node_903", + "content": "INITIAL DESIGN (Trace 129)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0029)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0022)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0028)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n\nPerformance:\n Mass: 98.25 kg\n Factor of Safety: 0.66\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 98.25167807552802, + "fos_buckling": 0.6626544351528864, + "fos_yielding": 2.045935330905004, + "deflection": 0.01599951863525962, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_904": { + "node_id": "node_904", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0036)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n\nPerformance:\n Mass: 124.23 kg\n Factor of Safety: 0.82\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": 124.23387907828058, + "fos_buckling": 0.8231130945467993, + "fos_yielding": 2.5840834515185414, + "deflection": 0.012689698804071278, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_903", + "improvement_over_parent": null + }, + "node_905": { + "node_id": "node_905", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0042)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 143.17 kg\n Factor of Safety: 0.94\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.17258260944135, + "fos_buckling": 0.9362138745424379, + "fos_yielding": 2.975570317756289, + "deflection": 0.011034064138838973, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_904", + "improvement_over_parent": null + }, + "node_906": { + "node_id": "node_906", + "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 146.66 kg\n Factor of Safety: 1.06\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.65859781614733, + "fos_buckling": 1.0557304628638782, + "fos_yielding": 2.9745178612340957, + "deflection": 0.010718434706909684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.212)" + }, + "parent_node_id": "node_905", + "improvement_over_parent": null + }, + "node_907": { + "node_id": "node_907", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 183.10 kg\n Factor of Safety: 1.28\n Max Deflection: 8.62e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.09998427080748, + "fos_buckling": 1.277073555069343, + "fos_yielding": 3.709033900525344, + "deflection": 0.00862062196149113, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_906", + "improvement_over_parent": null + }, + "node_908": { + "node_id": "node_908", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.62697805900189, + "fos_buckling": 1.5259453079516054, + "fos_yielding": 4.604065852303279, + "deflection": 0.00696912037375743, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_907", + "improvement_over_parent": null + }, + "node_909": { + "node_id": "node_909", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_908", + "improvement_over_parent": null + }, + "node_910": { + "node_id": "node_910", + "content": "INITIAL DESIGN (Trace 130)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\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_911": { + "node_id": "node_911", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 205.97 kg\n Factor of Safety: 1.00\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": 205.97188222241053, + "fos_buckling": 1.003746876482228, + "fos_yielding": 5.143770618251928, + "deflection": 0.008714548761923006, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_910", + "improvement_over_parent": null + }, + "node_912": { + "node_id": "node_912", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63117849925794, + "fos_buckling": 1.5259805252727332, + "fos_yielding": 4.604198403842038, + "deflection": 0.006969005084043683, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_911", + "improvement_over_parent": null + }, + "node_913": { + "node_id": "node_913", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_912", + "improvement_over_parent": null + }, + "node_914": { + "node_id": "node_914", + "content": "INITIAL DESIGN (Trace 131)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n Mass: 130.64 kg\n Factor of Safety: 0.67\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": 130.63533460509151, + "fos_buckling": 0.6704646717738006, + "fos_yielding": 2.9234240418394375, + "deflection": 0.013752557678533572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_915": { + "node_id": "node_915", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n\nPerformance:\n Mass: 144.68 kg\n Factor of Safety: 1.04\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": 144.67528398707546, + "fos_buckling": 1.0432308174478708, + "fos_yielding": 2.9345160897932097, + "deflection": 0.010862952039502632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004228)" + }, + "parent_node_id": "node_914", + "improvement_over_parent": null + }, + "node_916": { + "node_id": "node_916", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n\nPerformance:\n Mass: 182.65 kg\n Factor of Safety: 1.27\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": 182.6530870554092, + "fos_buckling": 1.2744643679413088, + "fos_yielding": 3.70006952247517, + "deflection": 0.008641294964874617, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_915", + "improvement_over_parent": null + }, + "node_917": { + "node_id": "node_917", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.74 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.7353582062454, + "fos_buckling": 1.5265317095235507, + "fos_yielding": 4.606280255099046, + "deflection": 0.006965901362905751, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_916", + "improvement_over_parent": null + }, + "node_918": { + "node_id": "node_918", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_917", + "improvement_over_parent": null + }, + "node_919": { + "node_id": "node_919", + "content": "INITIAL DESIGN (Trace 132)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n Mass: 124.09 kg\n Factor of Safety: 0.47\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.08938590019008, + "fos_buckling": 0.47365934316480396, + "fos_yielding": 2.9337544293949707, + "deflection": 0.017935294733197465, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_920": { + "node_id": "node_920", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n Mass: 146.46 kg\n Factor of Safety: 0.54\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.4605508091193, + "fos_buckling": 0.5440347373443515, + "fos_yielding": 3.4567457702131583, + "deflection": 0.015243413667270089, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_919", + "improvement_over_parent": null + }, + "node_921": { + "node_id": "node_921", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 175.83 kg\n Factor of Safety: 0.90\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": 175.832276669243, + "fos_buckling": 0.8982319857970981, + "fos_yielding": 4.045795355447966, + "deflection": 0.01028848775716431, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007220)" + }, + "parent_node_id": "node_920", + "improvement_over_parent": null + }, + "node_922": { + "node_id": "node_922", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n\nPerformance:\n Mass: 195.63 kg\n Factor of Safety: 1.35\n Max Deflection: 8.25e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.62579773321775, + "fos_buckling": 1.348221064055942, + "fos_yielding": 4.058967681032671, + "deflection": 0.008253377653747219, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006107)" + }, + "parent_node_id": "node_921", + "improvement_over_parent": null + }, + "node_923": { + "node_id": "node_923", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 218.31 kg\n Factor of Safety: 1.47\n Max Deflection: 7.41e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.3067721310029, + "fos_buckling": 1.473681273451864, + "fos_yielding": 4.525221339719361, + "deflection": 0.007412544629028079, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_922", + "improvement_over_parent": null + }, + "node_924": { + "node_id": "node_924", + "content": "MODIFICATION: Increase 1 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.50 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.4966985761081, + "fos_buckling": 1.5254830147019018, + "fos_yielding": 4.601242867496747, + "deflection": 0.006973043616309349, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.529)" + }, + "parent_node_id": "node_923", + "improvement_over_parent": null + }, + "node_925": { + "node_id": "node_925", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_924", + "improvement_over_parent": null + }, + "node_926": { + "node_id": "node_926", + "content": "INITIAL DESIGN (Trace 133)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 130.99 kg\n Factor of Safety: 0.44\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.98856153207996, + "fos_buckling": 0.4426969136539428, + "fos_yielding": 3.5462205516630867, + "deflection": 0.018554246801267972, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_927": { + "node_id": "node_927", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 158.29 kg\n Factor of Safety: 0.52\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.29358935924108, + "fos_buckling": 0.5213411054993443, + "fos_yielding": 4.272002632476978, + "deflection": 0.015387334150492891, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_926", + "improvement_over_parent": null + }, + "node_928": { + "node_id": "node_928", + "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 165.05 kg\n Factor of Safety: 0.52\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.0521645275678, + "fos_buckling": 0.5208776825847657, + "fos_yielding": 4.268388666386004, + "deflection": 0.014130172142894833, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.393)" + }, + "parent_node_id": "node_927", + "improvement_over_parent": null + }, + "node_929": { + "node_id": "node_929", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n\nPerformance:\n Mass: 179.11 kg\n Factor of Safety: 0.52\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.10578382882048, + "fos_buckling": 0.5199166849318206, + "fos_yielding": 4.265887320655008, + "deflection": 0.012799798981852304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004279)" + }, + "parent_node_id": "node_928", + "improvement_over_parent": null + }, + "node_930": { + "node_id": "node_930", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 211.50 kg\n Factor of Safety: 1.35\n Max Deflection: 7.46e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.49940346893877, + "fos_buckling": 1.3499866590110285, + "fos_yielding": 4.666853248019578, + "deflection": 0.0074636543308744295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 215.95 kg\n Factor of Safety: 1.35\n Max Deflection: 7.28e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.94545336057516, + "fos_buckling": 1.3455938403204024, + "fos_yielding": 4.665457526234235, + "deflection": 0.007275362532514233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.208)" + }, + "parent_node_id": "node_930", + "improvement_over_parent": null + }, + "node_932": { + "node_id": "node_932", + "content": "MODIFICATION: Increase 3 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0082)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 218.16 kg\n Factor of Safety: 1.35\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": 218.15925564642689, + "fos_buckling": 1.3479948645404398, + "fos_yielding": 4.666221422799847, + "deflection": 0.007189990249461871, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.592)" + }, + "parent_node_id": "node_931", + "improvement_over_parent": null + }, + "node_933": { + "node_id": "node_933", + "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0082)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 222.26 kg\n Factor of Safety: 1.35\n Max Deflection: 7.09e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.2577044964315, + "fos_buckling": 1.3502078717150137, + "fos_yielding": 4.666923315326061, + "deflection": 0.0070857812009865245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.250)" + }, + "parent_node_id": "node_932", + "improvement_over_parent": null + }, + "node_934": { + "node_id": "node_934", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_933", + "improvement_over_parent": null + }, + "node_935": { + "node_id": "node_935", + "content": "INITIAL DESIGN (Trace 134)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0025)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0027)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n Mass: 110.92 kg\n Factor of Safety: 0.27\n Max Deflection: 2.51e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.9207712529757, + "fos_buckling": 0.27047133253574945, + "fos_yielding": 2.6739257125096443, + "deflection": 0.025114046941637796, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_936": { + "node_id": "node_936", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 142.98 kg\n Factor of Safety: 0.34\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.98300536930824, + "fos_buckling": 0.34256541364596743, + "fos_yielding": 3.4367753531300993, + "deflection": 0.019490986139684915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_935", + "improvement_over_parent": null + }, + "node_937": { + "node_id": "node_937", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 157.83 kg\n Factor of Safety: 0.38\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.829903002796, + "fos_buckling": 0.37503142580706533, + "fos_yielding": 3.7884090055674857, + "deflection": 0.01765984130851887, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_936", + "improvement_over_parent": null + }, + "node_938": { + "node_id": "node_938", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 178.36 kg\n Factor of Safety: 0.42\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.36249252731605, + "fos_buckling": 0.41897506047717614, + "fos_yielding": 4.272968890420909, + "deflection": 0.01562857585970977, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_937", + "improvement_over_parent": null + }, + "node_939": { + "node_id": "node_939", + "content": "MODIFICATION: Increase 7 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 187.33 kg\n Factor of Safety: 0.42\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.33474288450756, + "fos_buckling": 0.41848209188028995, + "fos_yielding": 4.268173027995373, + "deflection": 0.013733009654240926, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.590)" + }, + "parent_node_id": "node_938", + "improvement_over_parent": null + }, + "node_940": { + "node_id": "node_940", + "content": "MODIFICATION: Increase 2 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 195.37 kg\n Factor of Safety: 0.62\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.36752463696328, + "fos_buckling": 0.6163175803667266, + "fos_yielding": 4.26388845639742, + "deflection": 0.011892417250805866, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.626)" + }, + "parent_node_id": "node_939", + "improvement_over_parent": null + }, + "node_941": { + "node_id": "node_941", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.76 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.76114427708157, + "fos_buckling": 1.5266850210602108, + "fos_yielding": 4.606907374717478, + "deflection": 0.006965344056583568, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_940", + "improvement_over_parent": null + }, + "node_942": { + "node_id": "node_942", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_941", + "improvement_over_parent": null + }, + "node_943": { + "node_id": "node_943", + "content": "INITIAL DESIGN (Trace 135)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n Mass: 138.64 kg\n Factor of Safety: 0.77\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": 138.63855806658944, + "fos_buckling": 0.7697692371556929, + "fos_yielding": 3.363564019076884, + "deflection": 0.013336613258464658, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_944": { + "node_id": "node_944", + "content": "MODIFICATION: Increase 1 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n Mass: 145.67 kg\n Factor of Safety: 0.77\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": 145.67263761847857, + "fos_buckling": 0.7690554417773556, + "fos_yielding": 3.4204020310106724, + "deflection": 0.012759088746125706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.536)" + }, + "parent_node_id": "node_943", + "improvement_over_parent": null + }, + "node_945": { + "node_id": "node_945", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 162.87 kg\n Factor of Safety: 0.84\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": 162.8670158430204, + "fos_buckling": 0.8448049799023877, + "fos_yielding": 3.8208459550458587, + "deflection": 0.011430498874395933, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_944", + "improvement_over_parent": null + }, + "node_946": { + "node_id": "node_946", + "content": "MODIFICATION: Increase 0 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 168.01 kg\n Factor of Safety: 0.84\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": 168.0145263312234, + "fos_buckling": 0.8442333466576094, + "fos_yielding": 3.8204736367840852, + "deflection": 0.010559474669249136, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.307)" + }, + "parent_node_id": "node_945", + "improvement_over_parent": null + }, + "node_947": { + "node_id": "node_947", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n\nPerformance:\n Mass: 189.32 kg\n Factor of Safety: 1.31\n Max Deflection: 8.34e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.3177996106154, + "fos_buckling": 1.3131061770603383, + "fos_yielding": 3.8343720704381044, + "deflection": 0.00834332397639962, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005887)" + }, + "parent_node_id": "node_946", + "improvement_over_parent": null + }, + "node_948": { + "node_id": "node_948", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.59 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5884902883791, + "fos_buckling": 1.5255801487371734, + "fos_yielding": 4.603520002203029, + "deflection": 0.006970258044813209, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_947", + "improvement_over_parent": null + }, + "node_949": { + "node_id": "node_949", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_948", + "improvement_over_parent": null + }, + "node_950": { + "node_id": "node_950", + "content": "INITIAL DESIGN (Trace 136)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0032)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n\nPerformance:\n Mass: 87.52 kg\n Factor of Safety: 1.26\n Max Deflection: 7.85e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 87.51807835854083, + "fos_buckling": 1.258408505982332, + "fos_yielding": 3.3042811087660353, + "deflection": 78460767588324.39, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_951": { + "node_id": "node_951", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0032)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n\nPerformance:\n Mass: 89.06 kg\n Factor of Safety: 0.29\n Max Deflection: 1.25e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 89.05508082541601, + "fos_buckling": 0.2859943114666062, + "fos_yielding": 2.3808495217163888, + "deflection": 124869313427357.72, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002360)" + }, + "parent_node_id": "node_950", + "improvement_over_parent": null + }, + "node_952": { + "node_id": "node_952", + "content": "MODIFICATION: Increase 1 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n\nPerformance:\n Mass: 95.09 kg\n Factor of Safety: 0.66\n Max Deflection: 1.69e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 95.08860197180667, + "fos_buckling": 0.6599945509469607, + "fos_yielding": 3.1324485917031653, + "deflection": 16916418428873.094, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.524)" + }, + "parent_node_id": "node_951", + "improvement_over_parent": null + }, + "node_953": { + "node_id": "node_953", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n\nPerformance:\n Mass: 109.05 kg\n Factor of Safety: 0.41\n Max Deflection: 2.11e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 109.04598502277075, + "fos_buckling": 0.4106727883092419, + "fos_yielding": 2.491613197780174, + "deflection": 0.02110212637877586, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004248)" + }, + "parent_node_id": "node_952", + "improvement_over_parent": null + }, + "node_954": { + "node_id": "node_954", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n\nPerformance:\n Mass: 137.14 kg\n Factor of Safety: 0.50\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.13955133497961, + "fos_buckling": 0.5001604885305307, + "fos_yielding": 3.128987350147668, + "deflection": 0.016834573051107467, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_953", + "improvement_over_parent": null + }, + "node_955": { + "node_id": "node_955", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n\nPerformance:\n Mass: 157.91 kg\n Factor of Safety: 0.50\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.9084103121499, + "fos_buckling": 0.49879321768714724, + "fos_yielding": 3.126856572894988, + "deflection": 0.014860454196592666, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005728)" + }, + "parent_node_id": "node_954", + "improvement_over_parent": null + }, + "node_956": { + "node_id": "node_956", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 194.73 kg\n Factor of Safety: 0.59\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.72761856497405, + "fos_buckling": 0.5920640595443492, + "fos_yielding": 3.8489890696253446, + "deflection": 0.012099964876532417, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.256)" + }, + "parent_node_id": "node_955", + "improvement_over_parent": null + }, + "node_957": { + "node_id": "node_957", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.51 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.50521330785955, + "fos_buckling": 1.5259274570812211, + "fos_yielding": 4.601308872941044, + "deflection": 0.006972843703090123, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 137)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.25 kg\n Factor of Safety: 1.18\n Max Deflection: 7.77e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.25100603510808, + "fos_buckling": 1.1769612517327874, + "fos_yielding": 4.598194511304769, + "deflection": 0.007769360998941709, + "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 2 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 211.76 kg\n Factor of Safety: 1.25\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": 211.7585767959968, + "fos_buckling": 1.2456882984696176, + "fos_yielding": 4.530472119911936, + "deflection": 0.007552724834557032, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.458)" + }, + "parent_node_id": "node_959", + "improvement_over_parent": null + }, + "node_961": { + "node_id": "node_961", + "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 212.36 kg\n Factor of Safety: 1.26\n Max Deflection: 7.50e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.3620139699386, + "fos_buckling": 1.262045508177481, + "fos_yielding": 4.655562286981602, + "deflection": 0.007503972831370869, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.176)" + }, + "parent_node_id": "node_960", + "improvement_over_parent": null + }, + "node_962": { + "node_id": "node_962", + "content": "MODIFICATION: Increase 7 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 221.30 kg\n Factor of Safety: 1.41\n Max Deflection: 7.13e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.2952613825352, + "fos_buckling": 1.413579600469174, + "fos_yielding": 4.652630898060155, + "deflection": 0.007132534454660905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.418)" + }, + "parent_node_id": "node_961", + "improvement_over_parent": null + }, + "node_963": { + "node_id": "node_963", + "content": "MODIFICATION: Increase 3 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.60 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.60161563528843, + "fos_buckling": 1.525825868113473, + "fos_yielding": 4.604301026028378, + "deflection": 0.006969887585969808, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.451)" + }, + "parent_node_id": "node_962", + "improvement_over_parent": null + }, + "node_964": { + "node_id": "node_964", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_963", + "improvement_over_parent": null + }, + "node_965": { + "node_id": "node_965", + "content": "INITIAL DESIGN (Trace 138)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n Mass: 110.19 kg\n Factor of Safety: 0.82\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": 110.19201300182081, + "fos_buckling": 0.8181156224778727, + "fos_yielding": 2.237700287161661, + "deflection": 0.014206680080947448, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_966": { + "node_id": "node_966", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n Mass: 141.22 kg\n Factor of Safety: 1.02\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.22135100132022, + "fos_buckling": 1.0213384867011788, + "fos_yielding": 2.864801991900378, + "deflection": 0.01112427158284389, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_965", + "improvement_over_parent": null + }, + "node_967": { + "node_id": "node_967", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n Mass: 174.86 kg\n Factor of Safety: 1.23\n Max Deflection: 9.02e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.86018861125143, + "fos_buckling": 1.2284361950336384, + "fos_yielding": 3.543151338621866, + "deflection": 0.00901846810839806, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_966", + "improvement_over_parent": null + }, + "node_968": { + "node_id": "node_968", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.75 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.74994472743876, + "fos_buckling": 1.5266130342828086, + "fos_yielding": 4.6065854864954865, + "deflection": 0.006965460761122364, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_967", + "improvement_over_parent": null + }, + "node_969": { + "node_id": "node_969", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_968", + "improvement_over_parent": null + }, + "node_970": { + "node_id": "node_970", + "content": "INITIAL DESIGN (Trace 139)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0026)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n\nPerformance:\n Mass: 99.18 kg\n Factor of Safety: 0.36\n Max Deflection: 2.49e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 99.18298339650389, + "fos_buckling": 0.3584962477360396, + "fos_yielding": 2.1411935125370434, + "deflection": 0.024931236748254988, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_971": { + "node_id": "node_971", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0032)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n\nPerformance:\n Mass: 117.99 kg\n Factor of Safety: 0.42\n Max Deflection: 2.10e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.98891278908829, + "fos_buckling": 0.4177801344280569, + "fos_yielding": 2.543373272325178, + "deflection": 0.020987804861083148, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_970", + "improvement_over_parent": null + }, + "node_972": { + "node_id": "node_972", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n\nPerformance:\n Mass: 153.03 kg\n Factor of Safety: 0.52\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.02538837945107, + "fos_buckling": 0.5210186578483808, + "fos_yielding": 3.289239551957806, + "deflection": 0.016224923851900275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_971", + "improvement_over_parent": null + }, + "node_973": { + "node_id": "node_973", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 180.94 kg\n Factor of Safety: 1.27\n Max Deflection: 8.59e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.94168068603835, + "fos_buckling": 1.269641148682932, + "fos_yielding": 3.974631319593772, + "deflection": 0.008591762560042557, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006833)" + }, + "parent_node_id": "node_972", + "improvement_over_parent": null + }, + "node_974": { + "node_id": "node_974", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 212.74 kg\n Factor of Safety: 1.45\n Max Deflection: 7.33e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.7396491136973, + "fos_buckling": 1.448414260750606, + "fos_yielding": 4.663958127582071, + "deflection": 0.007334617677471039, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_973", + "improvement_over_parent": null + }, + "node_975": { + "node_id": "node_975", + "content": "MODIFICATION: Increase 9 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 220.43 kg\n Factor of Safety: 1.45\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": 220.43448636408752, + "fos_buckling": 1.448385593928707, + "fos_yielding": 4.607546540130623, + "deflection": 0.007145249483770046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.484)" + }, + "parent_node_id": "node_974", + "improvement_over_parent": null + }, + "node_976": { + "node_id": "node_976", + "content": "MODIFICATION: Increase 8 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.83 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.8321722594837, + "fos_buckling": 1.5267108645695306, + "fos_yielding": 4.608798128022899, + "deflection": 0.006962897669599593, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.445)" + }, + "parent_node_id": "node_975", + "improvement_over_parent": null + }, + "node_977": { + "node_id": "node_977", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_976", + "improvement_over_parent": null + }, + "node_978": { + "node_id": "node_978", + "content": "INITIAL DESIGN (Trace 140)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\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_979": { + "node_id": "node_979", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n\nPerformance:\n Mass: 150.53 kg\n Factor of Safety: 0.79\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.52873640743806, + "fos_buckling": 0.7885503279856098, + "fos_yielding": 3.839954656701965, + "deflection": 0.011645118289049778, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004963)" + }, + "parent_node_id": "node_978", + "improvement_over_parent": null + }, + "node_980": { + "node_id": "node_980", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n\nPerformance:\n Mass: 180.77 kg\n Factor of Safety: 0.92\n Max Deflection: 9.73e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.77004227788296, + "fos_buckling": 0.9189519566788062, + "fos_yielding": 4.6096158324026355, + "deflection": 0.009732269224683544, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_979", + "improvement_over_parent": null + }, + "node_981": { + "node_id": "node_981", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 201.67 kg\n Factor of Safety: 1.00\n Max Deflection: 8.75e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.66948396693982, + "fos_buckling": 1.0037333252533154, + "fos_yielding": 5.141164763217899, + "deflection": 0.008745552879115952, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_980", + "improvement_over_parent": null + }, + "node_982": { + "node_id": "node_982", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 226.79 kg\n Factor of Safety: 1.41\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.78877894444076, + "fos_buckling": 1.4121068516207536, + "fos_yielding": 4.613627078202282, + "deflection": 0.007075495362680649, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_981", + "improvement_over_parent": null + }, + "node_983": { + "node_id": "node_983", + "content": "MODIFICATION: Increase 5 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0079)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 228.71 kg\n Factor of Safety: 1.38\n Max Deflection: 6.99e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.7065753397662, + "fos_buckling": 1.3797511438574772, + "fos_yielding": 5.365009325699897, + "deflection": 0.006993142407038906, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.439)" + }, + "parent_node_id": "node_982", + "improvement_over_parent": null + }, + "node_984": { + "node_id": "node_984", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_983", + "improvement_over_parent": null + }, + "node_985": { + "node_id": "node_985", + "content": "INITIAL DESIGN (Trace 141)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n Mass: 178.97 kg\n Factor of Safety: 0.59\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": 178.97382476860895, + "fos_buckling": 0.5935150573642868, + "fos_yielding": 3.618195840803517, + "deflection": 0.014373012346957897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_986": { + "node_id": "node_986", + "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n Mass: 184.68 kg\n Factor of Safety: 0.59\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.6839622721995, + "fos_buckling": 0.5930705522548716, + "fos_yielding": 3.6624814430360746, + "deflection": 0.014134664475429232, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.235)" + }, + "parent_node_id": "node_985", + "improvement_over_parent": null + }, + "node_987": { + "node_id": "node_987", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 217.46 kg\n Factor of Safety: 1.19\n Max Deflection: 7.32e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.461557015085, + "fos_buckling": 1.1936213961333682, + "fos_yielding": 3.621453508599209, + "deflection": 0.007322391689090046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_986", + "improvement_over_parent": null + }, + "node_988": { + "node_id": "node_988", + "content": "MODIFICATION: Increase 9 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 226.21 kg\n Factor of Safety: 1.19\n Max Deflection: 7.10e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.20513948418986, + "fos_buckling": 1.1941694884842633, + "fos_yielding": 3.62311642363543, + "deflection": 0.007098784949723742, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.585)" + }, + "parent_node_id": "node_987", + "improvement_over_parent": null + }, + "node_989": { + "node_id": "node_989", + "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6439057584336, + "fos_buckling": 1.5261110974342231, + "fos_yielding": 4.604118028763813, + "deflection": 0.006968808153456816, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.538)" + }, + "parent_node_id": "node_988", + "improvement_over_parent": null + }, + "node_990": { + "node_id": "node_990", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_989", + "improvement_over_parent": null + }, + "node_991": { + "node_id": "node_991", + "content": "INITIAL DESIGN (Trace 142)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, 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_992": { + "node_id": "node_992", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n\nPerformance:\n Mass: 151.05 kg\n Factor of Safety: 0.82\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": 151.0533183099216, + "fos_buckling": 0.8211854141932501, + "fos_yielding": 4.052389529706173, + "deflection": 0.013411923203186987, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005549)" + }, + "parent_node_id": "node_991", + "improvement_over_parent": null + }, + "node_993": { + "node_id": "node_993", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 192.04 kg\n Factor of Safety: 1.00\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": 192.0370047107926, + "fos_buckling": 1.0042075098396175, + "fos_yielding": 5.1461855392552325, + "deflection": 0.010586139477602338, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_992", + "improvement_over_parent": null + }, + "node_994": { + "node_id": "node_994", + "content": "MODIFICATION: Increase 2 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 200.15 kg\n Factor of Safety: 1.00\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": 200.1540403501362, + "fos_buckling": 1.0031166609589997, + "fos_yielding": 5.1461855392552325, + "deflection": 0.010597527382497755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.637)" + }, + "parent_node_id": "node_993", + "improvement_over_parent": null + }, + "node_995": { + "node_id": "node_995", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 225.27 kg\n Factor of Safety: 1.00\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.27333532763714, + "fos_buckling": 0.9998435502089738, + "fos_yielding": 5.123822320445804, + "deflection": 0.010597728943467256, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_994", + "improvement_over_parent": null + }, + "node_996": { + "node_id": "node_996", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.66 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6580176392233, + "fos_buckling": 1.5261514329180117, + "fos_yielding": 4.604985182788642, + "deflection": 0.00696813654857214, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_995", + "improvement_over_parent": null + }, + "node_997": { + "node_id": "node_997", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_996", + "improvement_over_parent": null + }, + "node_998": { + "node_id": "node_998", + "content": "INITIAL DESIGN (Trace 143)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0029)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 115.24 kg\n Factor of Safety: 0.43\n Max Deflection: 2.14e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.24158643443198, + "fos_buckling": 0.42892276647063815, + "fos_yielding": 2.77603570555983, + "deflection": 0.0213986540819497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_999": { + "node_id": "node_999", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 148.25 kg\n Factor of Safety: 0.53\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.2482746176538, + "fos_buckling": 0.5316341879127313, + "fos_yielding": 3.5597651319053996, + "deflection": 0.016672110540622394, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_998", + "improvement_over_parent": null + }, + "node_1000": { + "node_id": "node_1000", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 178.29 kg\n Factor of Safety: 0.62\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.28563506650352, + "fos_buckling": 0.6175359019697266, + "fos_yielding": 4.268323866645985, + "deflection": 0.013890634411721985, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_999", + "improvement_over_parent": null + }, + "node_1001": { + "node_id": "node_1001", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 210.68 kg\n Factor of Safety: 1.43\n Max Deflection: 7.40e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.6792547066218, + "fos_buckling": 1.4337930279700462, + "fos_yielding": 4.665583053704495, + "deflection": 0.007402641315113948, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_1000", + "improvement_over_parent": null + }, + "node_1002": { + "node_id": "node_1002", + "content": "MODIFICATION: Increase 9 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0125)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 225.93 kg\n Factor of Safety: 1.43\n Max Deflection: 6.99e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.92987308559148, + "fos_buckling": 1.4341640036943624, + "fos_yielding": 4.728275115358943, + "deflection": 0.006988535754160828, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.541)" + }, + "parent_node_id": "node_1001", + "improvement_over_parent": null + }, + "node_1003": { + "node_id": "node_1003", + "content": "MODIFICATION: Increase 8 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0125)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 234.59 kg\n Factor of Safety: 1.43\n Max Deflection: 6.83e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.59010189722306, + "fos_buckling": 1.4300349712380267, + "fos_yielding": 4.667364880902496, + "deflection": 0.006825363669100552, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.565)" + }, + "parent_node_id": "node_1002", + "improvement_over_parent": null + }, + "node_1004": { + "node_id": "node_1004", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1003", + "improvement_over_parent": null + }, + "node_1005": { + "node_id": "node_1005", + "content": "INITIAL DESIGN (Trace 144)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n Mass: 149.34 kg\n Factor of Safety: 0.78\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.33746790559056, + "fos_buckling": 0.7833647849483286, + "fos_yielding": 2.753666429169015, + "deflection": 0.012113503177811631, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1006": { + "node_id": "node_1006", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 173.38 kg\n Factor of Safety: 0.89\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": 173.38272051336486, + "fos_buckling": 0.8871987294700312, + "fos_yielding": 3.2015341983468195, + "deflection": 0.01046190648014009, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_1005", + "improvement_over_parent": null + }, + "node_1007": { + "node_id": "node_1007", + "content": "MODIFICATION: Increase 5 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 174.28 kg\n Factor of Safety: 0.89\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": 174.28439043129546, + "fos_buckling": 0.8871987294700311, + "fos_yielding": 3.9998766883986145, + "deflection": 0.010359500323607542, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.276)" + }, + "parent_node_id": "node_1006", + "improvement_over_parent": null + }, + "node_1008": { + "node_id": "node_1008", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 197.68 kg\n Factor of Safety: 0.98\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": 197.67513542734278, + "fos_buckling": 0.9820059173532716, + "fos_yielding": 4.5316605807581345, + "deflection": 0.009158477640765075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_1007", + "improvement_over_parent": null + }, + "node_1009": { + "node_id": "node_1009", + "content": "MODIFICATION: Increase 1 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.68 kg\n Factor of Safety: 0.98\n Max Deflection: 8.81e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.67801735507518, + "fos_buckling": 0.9809777898566918, + "fos_yielding": 4.593076068240116, + "deflection": 0.008814139073262254, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.433)" + }, + "parent_node_id": "node_1008", + "improvement_over_parent": null + }, + "node_1010": { + "node_id": "node_1010", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.77 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.7691654837355, + "fos_buckling": 1.5268025405532917, + "fos_yielding": 4.610091494214194, + "deflection": 0.006964647930450305, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_1009", + "improvement_over_parent": null + }, + "node_1011": { + "node_id": "node_1011", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1010", + "improvement_over_parent": null + }, + "node_1012": { + "node_id": "node_1012", + "content": "INITIAL DESIGN (Trace 145)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 141.33 kg\n Factor of Safety: 0.89\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.32823461824506, + "fos_buckling": 0.8859894806960454, + "fos_yielding": 4.510653050464208, + "deflection": 0.013674577878875972, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1013": { + "node_id": "node_1013", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 161.44 kg\n Factor of Safety: 0.99\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": 161.43607334399888, + "fos_buckling": 0.9864205757061426, + "fos_yielding": 5.1453111989855085, + "deflection": 0.011999231392943715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_1012", + "improvement_over_parent": null + }, + "node_1014": { + "node_id": "node_1014", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 183.53 kg\n Factor of Safety: 1.01\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": 183.5272214726592, + "fos_buckling": 1.0069506850208505, + "fos_yielding": 5.145311198985508, + "deflection": 0.010440821743225694, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_1013", + "improvement_over_parent": null + }, + "node_1015": { + "node_id": "node_1015", + "content": "MODIFICATION: Increase 1 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 193.19 kg\n Factor of Safety: 1.01\n Max Deflection: 9.13e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.19095482740386, + "fos_buckling": 1.0056755701113638, + "fos_yielding": 5.145311198985506, + "deflection": 0.009132835535078215, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.570)" + }, + "parent_node_id": "node_1014", + "improvement_over_parent": null + }, + "node_1016": { + "node_id": "node_1016", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 214.85 kg\n Factor of Safety: 1.36\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": 214.8502511042513, + "fos_buckling": 1.3644937810132727, + "fos_yielding": 4.6025781719018015, + "deflection": 0.007362313738523071, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_1015", + "improvement_over_parent": null + }, + "node_1017": { + "node_id": "node_1017", + "content": "MODIFICATION: Increase 8 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0123)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 229.41 kg\n Factor of Safety: 1.36\n Max Deflection: 7.01e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.40914581264457, + "fos_buckling": 1.3646096608527085, + "fos_yielding": 4.666027918539524, + "deflection": 0.007013701219711764, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.515)" + }, + "parent_node_id": "node_1016", + "improvement_over_parent": null + }, + "node_1018": { + "node_id": "node_1018", + "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0171)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 243.92 kg\n Factor of Safety: 1.36\n Max Deflection: 6.81e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.91758986323202, + "fos_buckling": 1.3636710764230005, + "fos_yielding": 4.7038614740116484, + "deflection": 0.006813292787134534, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.383)" + }, + "parent_node_id": "node_1017", + "improvement_over_parent": null + }, + "node_1019": { + "node_id": "node_1019", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1018", + "improvement_over_parent": null + }, + "node_1020": { + "node_id": "node_1020", + "content": "INITIAL DESIGN (Trace 146)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 210.57 kg\n Factor of Safety: 1.38\n Max Deflection: 7.61e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.56805832929314, + "fos_buckling": 1.3802780061033588, + "fos_yielding": 4.534295718792314, + "deflection": 0.007608991835020179, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1021": { + "node_id": "node_1021", + "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 214.07 kg\n Factor of Safety: 1.42\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": 214.07228773585857, + "fos_buckling": 1.417623060039672, + "fos_yielding": 4.511357317289359, + "deflection": 0.007504438250212963, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.178)" + }, + "parent_node_id": "node_1020", + "improvement_over_parent": null + }, + "node_1022": { + "node_id": "node_1022", + "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 220.62 kg\n Factor of Safety: 1.53\n Max Deflection: 7.28e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 220.62040400642022, + "fos_buckling": 1.5253118098432459, + "fos_yielding": 4.550236910322525, + "deflection": 0.007278126740492371, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.274)" + }, + "parent_node_id": "node_1021", + "improvement_over_parent": null + }, + "node_1023": { + "node_id": "node_1023", + "content": "MODIFICATION: Increase 1 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.66 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.66055733150856, + "fos_buckling": 1.5263039083153065, + "fos_yielding": 4.604213538392007, + "deflection": 0.006968213705297146, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.364)" + }, + "parent_node_id": "node_1022", + "improvement_over_parent": null + }, + "node_1024": { + "node_id": "node_1024", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1023", + "improvement_over_parent": null + }, + "node_1025": { + "node_id": "node_1025", + "content": "INITIAL DESIGN (Trace 147)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0023)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0030)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0027)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0019)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0020)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0021)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0031)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0028)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0032)]\n\nPerformance:\n Mass: 87.79 kg\n Factor of Safety: 0.64\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 87.79396647934955, + "fos_buckling": 0.6364789732869015, + "fos_yielding": 1.910615893938692, + "deflection": 0.017871777216935433, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1026": { + "node_id": "node_1026", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0039)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0024)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0041)]\n\nPerformance:\n Mass: 112.38 kg\n Factor of Safety: 0.80\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.37656500485096, + "fos_buckling": 0.8020668926545708, + "fos_yielding": 2.4423529610724666, + "deflection": 0.013999910317056838, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_1025", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 142.38 kg\n Factor of Safety: 1.00\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": 142.3819731843734, + "fos_buckling": 0.9967868271001188, + "fos_yielding": 3.0893809578990186, + "deflection": 0.01108576010003587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_1026", + "improvement_over_parent": null + }, + "node_1028": { + "node_id": "node_1028", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 175.85 kg\n Factor of Safety: 1.20\n Max Deflection: 9.01e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.8457248744308, + "fos_buckling": 1.2044231204292335, + "fos_yielding": 3.8082977700378473, + "deflection": 0.009008710719558643, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_1027", + "improvement_over_parent": null + }, + "node_1029": { + "node_id": "node_1029", + "content": "MODIFICATION: Increase 3 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 180.84 kg\n Factor of Safety: 1.29\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.83679916251774, + "fos_buckling": 1.29263850021881, + "fos_yielding": 3.7710992305637694, + "deflection": 0.008820004913556822, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.422)" + }, + "parent_node_id": "node_1028", + "improvement_over_parent": null + }, + "node_1030": { + "node_id": "node_1030", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 221.28 kg\n Factor of Safety: 1.52\n Max Deflection: 7.24e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 221.28381224575264, + "fos_buckling": 1.5238601605034232, + "fos_yielding": 4.606092227607292, + "deflection": 0.007238779137269049, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_1029", + "improvement_over_parent": null + }, + "node_1031": { + "node_id": "node_1031", + "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.60 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.60006288488563, + "fos_buckling": 1.5259087117924828, + "fos_yielding": 4.603735807787536, + "deflection": 0.006970051766143716, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.321)" + }, + "parent_node_id": "node_1030", + "improvement_over_parent": null + }, + "node_1032": { + "node_id": "node_1032", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1031", + "improvement_over_parent": null + }, + "node_1033": { + "node_id": "node_1033", + "content": "INITIAL DESIGN (Trace 148)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0039)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0041)]\n\nPerformance:\n Mass: 107.69 kg\n Factor of Safety: 0.58\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.6910645889631, + "fos_buckling": 0.577130031706355, + "fos_yielding": 2.6927929190306235, + "deflection": 0.01646992571892649, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1034": { + "node_id": "node_1034", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n Mass: 140.77 kg\n Factor of Safety: 0.73\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": 140.77383350645434, + "fos_buckling": 0.7312095646900881, + "fos_yielding": 3.518529413644271, + "deflection": 0.012650259054690837, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_1033", + "improvement_over_parent": null + }, + "node_1035": { + "node_id": "node_1035", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 176.09 kg\n Factor of Safety: 0.88\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": 176.0871752972967, + "fos_buckling": 0.8839068736409296, + "fos_yielding": 4.399168683197499, + "deflection": 0.010156730336559946, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_1034", + "improvement_over_parent": null + }, + "node_1036": { + "node_id": "node_1036", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n\nPerformance:\n Mass: 206.22 kg\n Factor of Safety: 1.00\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": 206.22049354833197, + "fos_buckling": 1.0047139597111379, + "fos_yielding": 5.149999935526189, + "deflection": 0.00870424207832225, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_1035", + "improvement_over_parent": null + }, + "node_1037": { + "node_id": "node_1037", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.88 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.8797898251794, + "fos_buckling": 1.527195639219062, + "fos_yielding": 4.609912451895066, + "deflection": 0.006961322924373011, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_1036", + "improvement_over_parent": null + }, + "node_1038": { + "node_id": "node_1038", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1037", + "improvement_over_parent": null + }, + "node_1039": { + "node_id": "node_1039", + "content": "INITIAL DESIGN (Trace 149)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n\nPerformance:\n Mass: 145.10 kg\n Factor of Safety: 0.48\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.1010054827503, + "fos_buckling": 0.48231607853645986, + "fos_yielding": 3.004193804952446, + "deflection": 0.01759790379003282, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1040": { + "node_id": "node_1040", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 170.60 kg\n Factor of Safety: 1.15\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": 170.599997616101, + "fos_buckling": 1.151520990026978, + "fos_yielding": 3.478790504034855, + "deflection": 0.009254655498120948, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006198)" + }, + "parent_node_id": "node_1039", + "improvement_over_parent": null + }, + "node_1041": { + "node_id": "node_1041", + "content": "MODIFICATION: Increase 9 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 176.23 kg\n Factor of Safety: 1.15\n Max Deflection: 9.04e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.22800366799532, + "fos_buckling": 1.1520550179621531, + "fos_yielding": 3.4804038235712476, + "deflection": 0.009036342307561564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.433)" + }, + "parent_node_id": "node_1040", + "improvement_over_parent": null + }, + "node_1042": { + "node_id": "node_1042", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 201.74 kg\n Factor of Safety: 1.30\n Max Deflection: 7.92e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.73678420875996, + "fos_buckling": 1.2985826336626245, + "fos_yielding": 3.987213144250312, + "deflection": 0.00791524211854665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_1041", + "improvement_over_parent": null + }, + "node_1043": { + "node_id": "node_1043", + "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 202.06 kg\n Factor of Safety: 1.30\n Max Deflection: 7.86e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.05734984168453, + "fos_buckling": 1.2963480502491085, + "fos_yielding": 3.980352001857575, + "deflection": 0.007864615340483695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.193)" + }, + "parent_node_id": "node_1042", + "improvement_over_parent": null + }, + "node_1044": { + "node_id": "node_1044", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 226.89 kg\n Factor of Safety: 1.43\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": 226.88951644385472, + "fos_buckling": 1.433651698276378, + "fos_yielding": 4.473364686147907, + "deflection": 0.007022963411961738, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_1043", + "improvement_over_parent": null + }, + "node_1045": { + "node_id": "node_1045", + "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.62 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.61921673072996, + "fos_buckling": 1.5259533467111077, + "fos_yielding": 4.603625028572278, + "deflection": 0.006969590468343972, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.220)" + }, + "parent_node_id": "node_1044", + "improvement_over_parent": null + }, + "node_1046": { + "node_id": "node_1046", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1045", + "improvement_over_parent": null + }, + "node_1047": { + "node_id": "node_1047", + "content": "INITIAL DESIGN (Trace 150)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n Mass: 85.93 kg\n Factor of Safety: 0.70\n Max Deflection: 5.72e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 85.93160818045101, + "fos_buckling": 0.6979739210136806, + "fos_yielding": 3.833058974033269, + "deflection": 57231120552777.75, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1048": { + "node_id": "node_1048", + "content": "MODIFICATION: Increase 5 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n Mass: 86.97 kg\n Factor of Safety: 0.70\n Max Deflection: 5.72e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 86.9712068944603, + "fos_buckling": 0.6979739210136806, + "fos_yielding": 3.833058974033269, + "deflection": 57231120552777.75, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.488)" + }, + "parent_node_id": "node_1047", + "improvement_over_parent": null + }, + "node_1049": { + "node_id": "node_1049", + "content": "MODIFICATION: Increase 0 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n Mass: 91.96 kg\n Factor of Safety: 0.93\n Max Deflection: 9.52e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 91.96474126247037, + "fos_buckling": 0.9300798058334158, + "fos_yielding": 2.4464915308946567, + "deflection": 95210278364692.67, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.397)" + }, + "parent_node_id": "node_1048", + "improvement_over_parent": null + }, + "node_1050": { + "node_id": "node_1050", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 119.31 kg\n Factor of Safety: 0.20\n Max Deflection: 3.48e+14 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.30992268975561, + "fos_buckling": 0.20471864550167376, + "fos_yielding": 0.3140309250599588, + "deflection": 347949225775766.5, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_1049", + "improvement_over_parent": null + }, + "node_1051": { + "node_id": "node_1051", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 140.28 kg\n Factor of Safety: 0.31\n Max Deflection: 1.93e+13 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.2753735707973, + "fos_buckling": 0.31015645912688256, + "fos_yielding": 1.8274376702109523, + "deflection": 19260113825321.547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_1050", + "improvement_over_parent": null + }, + "node_1052": { + "node_id": "node_1052", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 173.05 kg\n Factor of Safety: 1.71\n Max Deflection: 9.09e+12 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 173.0529683136828, + "fos_buckling": 1.7079958451231068, + "fos_yielding": 5.295219602005878, + "deflection": 9091659305470.016, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_1051", + "improvement_over_parent": null + }, + "node_1053": { + "node_id": "node_1053", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 205.45 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.4465879538011, + "fos_buckling": 0.9804824911296642, + "fos_yielding": 4.581980147301649, + "deflection": 0.008822810294630582, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_1052", + "improvement_over_parent": null + }, + "node_1054": { + "node_id": "node_1054", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.54 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5377360824614, + "fos_buckling": 1.5257056544602396, + "fos_yielding": 4.598956938610138, + "deflection": 0.0069718507199587705, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_1053", + "improvement_over_parent": null + }, + "node_1055": { + "node_id": "node_1055", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1054", + "improvement_over_parent": null + }, + "node_1056": { + "node_id": "node_1056", + "content": "INITIAL DESIGN (Trace 151)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n Mass: 109.19 kg\n Factor of Safety: 0.45\n Max Deflection: 2.48e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 109.19277471658349, + "fos_buckling": 0.4517413162090183, + "fos_yielding": 1.7770357446686524, + "deflection": 0.024795493770555014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1057": { + "node_id": "node_1057", + "content": "MODIFICATION: Increase 6 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n Mass: 110.49 kg\n Factor of Safety: 0.45\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": 110.48959680415636, + "fos_buckling": 0.45174131620901836, + "fos_yielding": 2.677912938383353, + "deflection": 0.024073818633882582, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.597)" + }, + "parent_node_id": "node_1056", + "improvement_over_parent": null + }, + "node_1058": { + "node_id": "node_1058", + "content": "MODIFICATION: Increase 1 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n Mass: 116.61 kg\n Factor of Safety: 0.45\n Max Deflection: 2.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.60846018040714, + "fos_buckling": 0.4513755336610362, + "fos_yielding": 2.6779129383833498, + "deflection": 0.024089739315113302, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.460)" + }, + "parent_node_id": "node_1057", + "improvement_over_parent": null + }, + "node_1059": { + "node_id": "node_1059", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n\nPerformance:\n Mass: 139.86 kg\n Factor of Safety: 0.45\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.86227978070897, + "fos_buckling": 0.44999081876705554, + "fos_yielding": 2.7709400768518706, + "deflection": 0.016744365938186793, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005654)" + }, + "parent_node_id": "node_1058", + "improvement_over_parent": null + }, + "node_1060": { + "node_id": "node_1060", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n\nPerformance:\n Mass: 169.46 kg\n Factor of Safety: 0.53\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.45735684394526, + "fos_buckling": 0.529007918195947, + "fos_yielding": 3.3524250245015166, + "deflection": 0.013865590501842906, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_1059", + "improvement_over_parent": null + }, + "node_1061": { + "node_id": "node_1061", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 197.95 kg\n Factor of Safety: 1.36\n Max Deflection: 7.99e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.95442762054174, + "fos_buckling": 1.362570559147342, + "fos_yielding": 4.006620346783681, + "deflection": 0.0079872527252767, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006987)" + }, + "parent_node_id": "node_1060", + "improvement_over_parent": null + }, + "node_1062": { + "node_id": "node_1062", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.86 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.862168400113, + "fos_buckling": 1.5270393321092068, + "fos_yielding": 4.607312391609536, + "deflection": 0.006962252833974882, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_1061", + "improvement_over_parent": null + }, + "node_1063": { + "node_id": "node_1063", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1062", + "improvement_over_parent": null + }, + "node_1064": { + "node_id": "node_1064", + "content": "INITIAL DESIGN (Trace 152)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 129.13 kg\n Factor of Safety: 0.05\n Max Deflection: 5.51e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.1320095014196, + "fos_buckling": 0.04829076816585346, + "fos_yielding": 0.5343490536885525, + "deflection": 551289655003315.2, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1065": { + "node_id": "node_1065", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n\nPerformance:\n Mass: 148.72 kg\n Factor of Safety: 0.26\n Max Deflection: 2.77e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.71655135531535, + "fos_buckling": 0.2575507635512185, + "fos_yielding": 2.84986161967228, + "deflection": 27726960307055.32, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006037)" + }, + "parent_node_id": "node_1064", + "improvement_over_parent": null + }, + "node_1066": { + "node_id": "node_1066", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n Mass: 170.99 kg\n Factor of Safety: 0.46\n Max Deflection: 3.93e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.987585101736, + "fos_buckling": 0.46199463427302534, + "fos_yielding": 3.784164277397492, + "deflection": 0.03932605931854828, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006248)" + }, + "parent_node_id": "node_1065", + "improvement_over_parent": null + }, + "node_1067": { + "node_id": "node_1067", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n\nPerformance:\n Mass: 173.10 kg\n Factor of Safety: 0.56\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.1022189227198, + "fos_buckling": 0.5589435533232934, + "fos_yielding": 3.7834966757582023, + "deflection": 0.013390140545144584, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003321)" + }, + "parent_node_id": "node_1066", + "improvement_over_parent": null + }, + "node_1068": { + "node_id": "node_1068", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n\nPerformance:\n Mass: 201.82 kg\n Factor of Safety: 1.38\n Max Deflection: 7.84e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.82280338631767, + "fos_buckling": 1.38462417526442, + "fos_yielding": 4.085758575056477, + "deflection": 0.007837399347990062, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007095)" + }, + "parent_node_id": "node_1067", + "improvement_over_parent": null + }, + "node_1069": { + "node_id": "node_1069", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.54 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.53893243825692, + "fos_buckling": 1.5255084993575874, + "fos_yielding": 4.602354696123978, + "deflection": 0.006971740697153552, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_1068", + "improvement_over_parent": null + }, + "node_1070": { + "node_id": "node_1070", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1069", + "improvement_over_parent": null + }, + "node_1071": { + "node_id": "node_1071", + "content": "INITIAL DESIGN (Trace 153)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0041)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n Mass: 142.24 kg\n Factor of Safety: 0.57\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": 142.24339571299478, + "fos_buckling": 0.5677709017761821, + "fos_yielding": 3.575721803227621, + "deflection": 0.01347369934152034, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1072": { + "node_id": "node_1072", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0041)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n\nPerformance:\n Mass: 162.60 kg\n Factor of Safety: 0.94\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": 162.60065920778158, + "fos_buckling": 0.9387236279076306, + "fos_yielding": 3.5888115939088787, + "deflection": 0.010051405283755376, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005606)" + }, + "parent_node_id": "node_1071", + "improvement_over_parent": null + }, + "node_1073": { + "node_id": "node_1073", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n\nPerformance:\n Mass: 181.61 kg\n Factor of Safety: 1.04\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": 181.61351744538393, + "fos_buckling": 1.0378057776586502, + "fos_yielding": 4.0035196728884355, + "deflection": 0.009014196155212423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_1072", + "improvement_over_parent": null + }, + "node_1074": { + "node_id": "node_1074", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 204.94 kg\n Factor of Safety: 1.16\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": 204.9359164041217, + "fos_buckling": 1.156295924193062, + "fos_yielding": 4.5107181655857245, + "deflection": 0.00800456651461162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_1073", + "improvement_over_parent": null + }, + "node_1075": { + "node_id": "node_1075", + "content": "MODIFICATION: Increase 10 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0118)]\n\nPerformance:\n Mass: 218.83 kg\n Factor of Safety: 1.15\n Max Deflection: 7.75e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.8253895909058, + "fos_buckling": 1.151952039735288, + "fos_yielding": 4.511233514969487, + "deflection": 0.00775344407055065, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.637)" + }, + "parent_node_id": "node_1074", + "improvement_over_parent": null + }, + "node_1076": { + "node_id": "node_1076", + "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0118)]\n\nPerformance:\n Mass: 229.49 kg\n Factor of Safety: 1.15\n Max Deflection: 7.34e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.49098647527737, + "fos_buckling": 1.1546772878875111, + "fos_yielding": 4.5075593011500725, + "deflection": 0.007344341003882563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.538)" + }, + "parent_node_id": "node_1075", + "improvement_over_parent": null + }, + "node_1077": { + "node_id": "node_1077", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1076", + "improvement_over_parent": null + }, + "node_1078": { + "node_id": "node_1078", + "content": "INITIAL DESIGN (Trace 154)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 176.57 kg\n Factor of Safety: 0.84\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": 176.5695756621892, + "fos_buckling": 0.8418207840686615, + "fos_yielding": 3.090191945350363, + "deflection": 0.012994314893736255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1079": { + "node_id": "node_1079", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n\nPerformance:\n Mass: 178.15 kg\n Factor of Safety: 1.08\n Max Deflection: 8.91e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.14775543036586, + "fos_buckling": 1.0799988521368835, + "fos_yielding": 2.8145400443090436, + "deflection": 0.008909837302241895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002427)" + }, + "parent_node_id": "node_1078", + "improvement_over_parent": null + }, + "node_1080": { + "node_id": "node_1080", + "content": "MODIFICATION: Increase 9 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0091)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n\nPerformance:\n Mass: 187.84 kg\n Factor of Safety: 1.09\n Max Deflection: 8.47e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.84098789650434, + "fos_buckling": 1.0926070672363664, + "fos_yielding": 2.847397788754367, + "deflection": 0.008474901323178739, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.404)" + }, + "parent_node_id": "node_1079", + "improvement_over_parent": null + }, + "node_1081": { + "node_id": "node_1081", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0114)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n Mass: 230.71 kg\n Factor of Safety: 1.32\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": 230.71381690368707, + "fos_buckling": 1.3159438058235757, + "fos_yielding": 3.5130766148604855, + "deflection": 0.0069300117965821455, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_1080", + "improvement_over_parent": null + }, + "node_1082": { + "node_id": "node_1082", + "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0114)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n Mass: 231.56 kg\n Factor of Safety: 1.52\n Max Deflection: 6.87e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 231.56111532925866, + "fos_buckling": 1.5221258683165577, + "fos_yielding": 4.293019101067837, + "deflection": 0.006870307867658709, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.247)" + }, + "parent_node_id": "node_1081", + "improvement_over_parent": null + }, + "node_1083": { + "node_id": "node_1083", + "content": "MODIFICATION: Increase 6 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0112)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0114)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n Mass: 242.41 kg\n Factor of Safety: 1.56\n Max Deflection: 6.59e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 242.40956059515258, + "fos_buckling": 1.5604367721115884, + "fos_yielding": 4.290311025451057, + "deflection": 0.006588857289029754, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.383)" + }, + "parent_node_id": "node_1082", + "improvement_over_parent": null + }, + "node_1084": { + "node_id": "node_1084", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1083", + "improvement_over_parent": null + }, + "node_1085": { + "node_id": "node_1085", + "content": "INITIAL DESIGN (Trace 155)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\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_1086": { + "node_id": "node_1086", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 194.57 kg\n Factor of Safety: 0.98\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.5667677397189, + "fos_buckling": 0.9822039703652221, + "fos_yielding": 5.090372400955461, + "deflection": 0.01171107928096056, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_1085", + "improvement_over_parent": null + }, + "node_1087": { + "node_id": "node_1087", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n\nPerformance:\n Mass: 195.94 kg\n Factor of Safety: 0.98\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": 195.94269256282848, + "fos_buckling": 0.9818498725261642, + "fos_yielding": 4.600270346685825, + "deflection": 0.009997553387668718, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002100)" + }, + "parent_node_id": "node_1086", + "improvement_over_parent": null + }, + "node_1088": { + "node_id": "node_1088", + "content": "MODIFICATION: Increase 4 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0077)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n\nPerformance:\n Mass: 197.72 kg\n Factor of Safety: 0.98\n Max Deflection: 9.92e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.7236315369239, + "fos_buckling": 0.9818498725261638, + "fos_yielding": 6.2001508499594165, + "deflection": 0.009916293315054068, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.406)" + }, + "parent_node_id": "node_1087", + "improvement_over_parent": null + }, + "node_1089": { + "node_id": "node_1089", + "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0099)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n\nPerformance:\n Mass: 199.32 kg\n Factor of Safety: 0.98\n Max Deflection: 9.87e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.31738482968925, + "fos_buckling": 0.9818498725261638, + "fos_yielding": 6.26513896886249, + "deflection": 0.009872469533141413, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.282)" + }, + "parent_node_id": "node_1088", + "improvement_over_parent": null + }, + "node_1090": { + "node_id": "node_1090", + "content": "MODIFICATION: Increase 0 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0099)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n\nPerformance:\n Mass: 207.92 kg\n Factor of Safety: 0.98\n Max Deflection: 8.74e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.92137349918198, + "fos_buckling": 0.9807443882973476, + "fos_yielding": 6.2651389688624874, + "deflection": 0.008738388703066173, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.488)" + }, + "parent_node_id": "node_1089", + "improvement_over_parent": null + }, + "node_1091": { + "node_id": "node_1091", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0099)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 230.01 kg\n Factor of Safety: 1.16\n Max Deflection: 7.03e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.0125216278423, + "fos_buckling": 1.1563062728626567, + "fos_yielding": 5.387275859692292, + "deflection": 0.007033601784716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_1090", + "improvement_over_parent": null + }, + "node_1092": { + "node_id": "node_1092", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1091", + "improvement_over_parent": null + }, + "node_1093": { + "node_id": "node_1093", + "content": "INITIAL DESIGN (Trace 156)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 144.59 kg\n Factor of Safety: 0.70\n Max Deflection: 6.34e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.59281770147317, + "fos_buckling": 0.6999610687249765, + "fos_yielding": 3.9966207149520776, + "deflection": 63430998561854.33, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1094": { + "node_id": "node_1094", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 176.99 kg\n Factor of Safety: 0.83\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.98643734159145, + "fos_buckling": 0.8258353243080999, + "fos_yielding": 5.1437712751673565, + "deflection": 0.011453261422882123, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_1093", + "improvement_over_parent": null + }, + "node_1095": { + "node_id": "node_1095", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 199.08 kg\n Factor of Safety: 0.82\n Max Deflection: 9.45e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.07758547025176, + "fos_buckling": 0.8234465620174635, + "fos_yielding": 5.1437712751673565, + "deflection": 0.009448649034352217, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_1094", + "improvement_over_parent": null + }, + "node_1096": { + "node_id": "node_1096", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 220.74 kg\n Factor of Safety: 1.32\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": 220.73688174709918, + "fos_buckling": 1.3233097574372759, + "fos_yielding": 4.556274545736182, + "deflection": 0.0072425630167956365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_1095", + "improvement_over_parent": null + }, + "node_1097": { + "node_id": "node_1097", + "content": "MODIFICATION: Increase 10 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0088)]\n\nPerformance:\n Mass: 226.32 kg\n Factor of Safety: 1.37\n Max Deflection: 7.13e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.31859289984808, + "fos_buckling": 1.3658957085995604, + "fos_yielding": 4.527365800719174, + "deflection": 0.00713121758584911, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.292)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 157)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 142.55 kg\n Factor of Safety: 0.61\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.5460714966277, + "fos_buckling": 0.612650982399227, + "fos_yielding": 3.3411170809315327, + "deflection": 0.01701052086800877, + "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: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 145.53 kg\n Factor of Safety: 0.69\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.5305503099487, + "fos_buckling": 0.6903703779510773, + "fos_yielding": 3.321059694222034, + "deflection": 0.01632296110329123, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.176)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n\nPerformance:\n Mass: 147.07 kg\n Factor of Safety: 1.06\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": 147.07124582866567, + "fos_buckling": 1.0584140767200034, + "fos_yielding": 2.983166818715345, + "deflection": 0.010689009329915705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002366)" + }, + "parent_node_id": "node_1100", + "improvement_over_parent": null + }, + "node_1102": { + "node_id": "node_1102", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n Mass: 184.82 kg\n Factor of Safety: 1.29\n Max Deflection: 8.54e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.81807411684008, + "fos_buckling": 1.287215056847115, + "fos_yielding": 3.7440153187609666, + "deflection": 0.00854225427307244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_1101", + "improvement_over_parent": null + }, + "node_1103": { + "node_id": "node_1103", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.74 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.73764676180483, + "fos_buckling": 1.5266450401318599, + "fos_yielding": 4.606763793406142, + "deflection": 0.006965912464508479, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_1102", + "improvement_over_parent": null + }, + "node_1104": { + "node_id": "node_1104", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1103", + "improvement_over_parent": null + }, + "node_1105": { + "node_id": "node_1105", + "content": "INITIAL DESIGN (Trace 158)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n Mass: 108.01 kg\n Factor of Safety: 0.64\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": 108.01306734490745, + "fos_buckling": 0.6407545871176338, + "fos_yielding": 3.6548753404219045, + "deflection": 16127510029239.363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1106": { + "node_id": "node_1106", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 134.78 kg\n Factor of Safety: 0.52\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.77662628055683, + "fos_buckling": 0.5236922992015945, + "fos_yielding": 2.8545689900014315, + "deflection": 0.016582152455889943, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006529)" + }, + "parent_node_id": "node_1105", + "improvement_over_parent": null + }, + "node_1107": { + "node_id": "node_1107", + "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 135.43 kg\n Factor of Safety: 0.52\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.42504824631635, + "fos_buckling": 0.5236922992015947, + "fos_yielding": 3.488457038359382, + "deflection": 0.016354950925136866, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.239)" + }, + "parent_node_id": "node_1106", + "improvement_over_parent": null + }, + "node_1108": { + "node_id": "node_1108", + "content": "MODIFICATION: Increase 3 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 138.91 kg\n Factor of Safety: 0.52\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.9110165570467, + "fos_buckling": 0.5234514075140154, + "fos_yielding": 3.487948899404138, + "deflection": 0.016362160614348486, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.264)" + }, + "parent_node_id": "node_1107", + "improvement_over_parent": null + }, + "node_1109": { + "node_id": "node_1109", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 170.16 kg\n Factor of Safety: 0.62\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.15721126305638, + "fos_buckling": 0.6181951816059822, + "fos_yielding": 4.263834773232042, + "deflection": 0.013406805441057506, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_1108", + "improvement_over_parent": null + }, + "node_1110": { + "node_id": "node_1110", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 202.55 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.55083090317467, + "fos_buckling": 1.0043542085408952, + "fos_yielding": 5.146296996238915, + "deflection": 0.008710811458855902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_1109", + "improvement_over_parent": null + }, + "node_1111": { + "node_id": "node_1111", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.67 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6701258806756, + "fos_buckling": 1.5262615325515967, + "fos_yielding": 4.605035558170536, + "deflection": 0.006967997837183486, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_1110", + "improvement_over_parent": null + }, + "node_1112": { + "node_id": "node_1112", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1111", + "improvement_over_parent": null + }, + "node_1113": { + "node_id": "node_1113", + "content": "INITIAL DESIGN (Trace 159)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0029)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n Mass: 127.18 kg\n Factor of Safety: 0.45\n Max Deflection: 2.01e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.18242513419008, + "fos_buckling": 0.45369205861732814, + "fos_yielding": 3.1221429482537526, + "deflection": 0.020111042848298753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1114": { + "node_id": "node_1114", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0035)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 152.92 kg\n Factor of Safety: 0.54\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.92208506516477, + "fos_buckling": 0.5393375310807482, + "fos_yielding": 3.7475869363163716, + "deflection": 0.016736957711886057, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_1113", + "improvement_over_parent": null + }, + "node_1115": { + "node_id": "node_1115", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0035)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n\nPerformance:\n Mass: 154.63 kg\n Factor of Safety: 0.87\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": 154.62905595021823, + "fos_buckling": 0.8721168535687788, + "fos_yielding": 3.305134565813756, + "deflection": 0.010401366265330156, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002638)" + }, + "parent_node_id": "node_1114", + "improvement_over_parent": null + }, + "node_1116": { + "node_id": "node_1116", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0042)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n\nPerformance:\n Mass: 181.79 kg\n Factor of Safety: 1.01\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": 181.79262034110843, + "fos_buckling": 1.0109641343175637, + "fos_yielding": 3.8803448092841357, + "deflection": 0.008870980343278307, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_1115", + "improvement_over_parent": null + }, + "node_1117": { + "node_id": "node_1117", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 216.35 kg\n Factor of Safety: 1.18\n Max Deflection: 7.48e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.3471389925129, + "fos_buckling": 1.181409032213205, + "fos_yielding": 4.609606985453842, + "deflection": 0.0074793858299589434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_1116", + "improvement_over_parent": null + }, + "node_1118": { + "node_id": "node_1118", + "content": "MODIFICATION: Increase 7 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0114)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 229.28 kg\n Factor of Safety: 1.26\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.27850448214744, + "fos_buckling": 1.2646710319848664, + "fos_yielding": 4.610521098743979, + "deflection": 0.0072309191775426105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.590)" + }, + "parent_node_id": "node_1117", + "improvement_over_parent": null + }, + "node_1119": { + "node_id": "node_1119", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1118", + "improvement_over_parent": null + }, + "node_1120": { + "node_id": "node_1120", + "content": "INITIAL DESIGN (Trace 160)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0021)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0040)]\n\nPerformance:\n Mass: 111.49 kg\n Factor of Safety: 0.80\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": 111.49376382413593, + "fos_buckling": 0.7990882734482332, + "fos_yielding": 2.39911957600464, + "deflection": 0.013951838584651047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1121": { + "node_id": "node_1121", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n Mass: 138.45 kg\n Factor of Safety: 0.97\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": 138.45387769891758, + "fos_buckling": 0.9693650492183521, + "fos_yielding": 2.975509480067011, + "deflection": 0.011269610385286411, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_1120", + "improvement_over_parent": null + }, + "node_1122": { + "node_id": "node_1122", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 156.17 kg\n Factor of Safety: 1.08\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": 156.16526677304034, + "fos_buckling": 1.0764596871548158, + "fos_yielding": 3.353339003260085, + "deflection": 0.010011569771007636, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_1121", + "improvement_over_parent": null + }, + "node_1123": { + "node_id": "node_1123", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 185.59 kg\n Factor of Safety: 1.25\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": 185.58555856224416, + "fos_buckling": 1.246076730396177, + "fos_yielding": 3.9794608007537318, + "deflection": 0.008452548047336753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_1122", + "improvement_over_parent": null + }, + "node_1124": { + "node_id": "node_1124", + "content": "MODIFICATION: Increase 9 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 193.52 kg\n Factor of Safety: 1.34\n Max Deflection: 8.17e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.51607011456605, + "fos_buckling": 1.3374436923102424, + "fos_yielding": 3.9185036943093627, + "deflection": 0.008166311022994631, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.637)" + }, + "parent_node_id": "node_1123", + "improvement_over_parent": null + }, + "node_1125": { + "node_id": "node_1125", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.35 kg\n Factor of Safety: 1.52\n Max Deflection: 6.98e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.34707726637737, + "fos_buckling": 1.5244964055247987, + "fos_yielding": 4.598280618544169, + "deflection": 0.0069775809883837366, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_1124", + "improvement_over_parent": null + }, + "node_1126": { + "node_id": "node_1126", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1125", + "improvement_over_parent": null + }, + "node_1127": { + "node_id": "node_1127", + "content": "INITIAL DESIGN (Trace 161)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0070)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0073)]\n\nPerformance:\n Mass: 123.03 kg\n Factor of Safety: 1.36\n Max Deflection: 1.56e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.03297698521986, + "fos_buckling": 1.3553059872761066, + "fos_yielding": 3.5908962079807747, + "deflection": 15614232199148.557, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1128": { + "node_id": "node_1128", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0070)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0073)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n Mass: 145.81 kg\n Factor of Safety: 0.39\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.80533637997667, + "fos_buckling": 0.3853734471925516, + "fos_yielding": 2.691889430064891, + "deflection": 0.01719628846496936, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006401)" + }, + "parent_node_id": "node_1127", + "improvement_over_parent": null + }, + "node_1129": { + "node_id": "node_1129", + "content": "MODIFICATION: Increase 6 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0070)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0073)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n Mass: 146.86 kg\n Factor of Safety: 0.39\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.85788479083072, + "fos_buckling": 0.3853734471925517, + "fos_yielding": 3.4995851101059863, + "deflection": 0.016890270730985597, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.326)" + }, + "parent_node_id": "node_1128", + "improvement_over_parent": null + }, + "node_1130": { + "node_id": "node_1130", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0070)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0073)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 176.57 kg\n Factor of Safety: 0.91\n Max Deflection: 9.93e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.5736233506387, + "fos_buckling": 0.9072067011401229, + "fos_yielding": 4.215331382161208, + "deflection": 0.009933334051058116, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007312)" + }, + "parent_node_id": "node_1129", + "improvement_over_parent": null + }, + "node_1131": { + "node_id": "node_1131", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 194.94 kg\n Factor of Safety: 0.98\n Max Deflection: 9.02e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.93844045599022, + "fos_buckling": 0.9823251580857512, + "fos_yielding": 4.649234392114548, + "deflection": 0.009017932090137282, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_1130", + "improvement_over_parent": null + }, + "node_1132": { + "node_id": "node_1132", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 220.55 kg\n Factor of Safety: 1.37\n Max Deflection: 7.16e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.55496936528482, + "fos_buckling": 1.3696529073514354, + "fos_yielding": 4.664208337348142, + "deflection": 0.007158158199721769, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_1131", + "improvement_over_parent": null + }, + "node_1133": { + "node_id": "node_1133", + "content": "MODIFICATION: Increase 3 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.76 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.7610669795931, + "fos_buckling": 1.526814012560922, + "fos_yielding": 4.606845091736647, + "deflection": 0.006965060161349489, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.546)" + }, + "parent_node_id": "node_1132", + "improvement_over_parent": null + }, + "node_1134": { + "node_id": "node_1134", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1133", + "improvement_over_parent": null + }, + "node_1135": { + "node_id": "node_1135", + "content": "INITIAL DESIGN (Trace 162)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\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_1136": { + "node_id": "node_1136", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 205.97 kg\n Factor of Safety: 1.00\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": 205.97188222241053, + "fos_buckling": 1.003746876482228, + "fos_yielding": 5.143770618251928, + "deflection": 0.008714548761923006, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_1135", + "improvement_over_parent": null + }, + "node_1137": { + "node_id": "node_1137", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63117849925794, + "fos_buckling": 1.5259805252727332, + "fos_yielding": 4.604198403842038, + "deflection": 0.006969005084043683, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_1136", + "improvement_over_parent": null + }, + "node_1138": { + "node_id": "node_1138", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1137", + "improvement_over_parent": null + }, + "node_1139": { + "node_id": "node_1139", + "content": "INITIAL DESIGN (Trace 163)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, 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_1140": { + "node_id": "node_1140", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 131.39 kg\n Factor of Safety: 0.16\n Max Deflection: 1.79e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.38735936840723, + "fos_buckling": 0.1641541937229567, + "fos_yielding": 2.2068360508898, + "deflection": 178618157484497.56, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005784)" + }, + "parent_node_id": "node_1139", + "improvement_over_parent": null + }, + "node_1141": { + "node_id": "node_1141", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 158.45 kg\n Factor of Safety: 0.86\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.44747819101596, + "fos_buckling": 0.8599401126469144, + "fos_yielding": 4.248701006385402, + "deflection": 0.010929976995323606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006607)" + }, + "parent_node_id": "node_1140", + "improvement_over_parent": null + }, + "node_1142": { + "node_id": "node_1142", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n\nPerformance:\n Mass: 176.33 kg\n Factor of Safety: 1.19\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": 176.33175060770566, + "fos_buckling": 1.1883313930609989, + "fos_yielding": 3.804354659472873, + "deflection": 0.008798608992101524, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005535)" + }, + "parent_node_id": "node_1141", + "improvement_over_parent": null + }, + "node_1143": { + "node_id": "node_1143", + "content": "MODIFICATION: Increase 8 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0083)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n\nPerformance:\n Mass: 184.52 kg\n Factor of Safety: 1.19\n Max Deflection: 8.62e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.52101734044243, + "fos_buckling": 1.1856778133383725, + "fos_yielding": 3.7679028298109074, + "deflection": 0.008620917874003153, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.441)" + }, + "parent_node_id": "node_1142", + "improvement_over_parent": null + }, + "node_1144": { + "node_id": "node_1144", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0103)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 223.40 kg\n Factor of Safety: 1.39\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": 223.39782373328595, + "fos_buckling": 1.3881046151193814, + "fos_yielding": 4.558136783476591, + "deflection": 0.007147019854653223, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_1143", + "improvement_over_parent": null + }, + "node_1145": { + "node_id": "node_1145", + "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0103)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 229.93 kg\n Factor of Safety: 1.44\n Max Deflection: 7.01e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.9261208573844, + "fos_buckling": 1.44432090047444, + "fos_yielding": 4.5591836312729495, + "deflection": 0.007007403275207002, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.460)" + }, + "parent_node_id": "node_1144", + "improvement_over_parent": null + }, + "node_1146": { + "node_id": "node_1146", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1145", + "improvement_over_parent": null + }, + "node_1147": { + "node_id": "node_1147", + "content": "INITIAL DESIGN (Trace 164)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n\nPerformance:\n Mass: 105.85 kg\n Factor of Safety: 0.32\n Max Deflection: 1.80e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 105.85179897096795, + "fos_buckling": 0.32293883537843676, + "fos_yielding": 1.8274376702109523, + "deflection": 17969223962102.902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1148": { + "node_id": "node_1148", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n Mass: 131.11 kg\n Factor of Safety: 0.50\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.11282781107084, + "fos_buckling": 0.49852941930078143, + "fos_yielding": 3.296206646917239, + "deflection": 0.017318055626253662, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006136)" + }, + "parent_node_id": "node_1147", + "improvement_over_parent": null + }, + "node_1149": { + "node_id": "node_1149", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 146.75 kg\n Factor of Safety: 0.55\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.74639368841162, + "fos_buckling": 0.5480083457253259, + "fos_yielding": 3.685453653241553, + "deflection": 0.015501666580058351, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_1148", + "improvement_over_parent": null + }, + "node_1150": { + "node_id": "node_1150", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n\nPerformance:\n Mass: 174.67 kg\n Factor of Safety: 0.89\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": 174.67067681163968, + "fos_buckling": 0.8908024693713638, + "fos_yielding": 4.439866605608638, + "deflection": 0.01006640542980859, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006882)" + }, + "parent_node_id": "node_1149", + "improvement_over_parent": null + }, + "node_1151": { + "node_id": "node_1151", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 202.65 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.65323756499933, + "fos_buckling": 1.0048130141530207, + "fos_yielding": 5.149470358159231, + "deflection": 0.008705974478318643, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_1150", + "improvement_over_parent": null + }, + "node_1152": { + "node_id": "node_1152", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.77 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.77253254250027, + "fos_buckling": 1.5267479243108486, + "fos_yielding": 4.607994811683466, + "deflection": 0.006964649573707344, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_1151", + "improvement_over_parent": null + }, + "node_1153": { + "node_id": "node_1153", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1152", + "improvement_over_parent": null + }, + "node_1154": { + "node_id": "node_1154", + "content": "INITIAL DESIGN (Trace 165)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0026)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n Mass: 132.32 kg\n Factor of Safety: 0.76\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.31921217860716, + "fos_buckling": 0.7563819164460179, + "fos_yielding": 2.911733006119194, + "deflection": 0.012088013376958294, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1155": { + "node_id": "node_1155", + "content": "MODIFICATION: Increase 7 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0026)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n Mass: 138.54 kg\n Factor of Safety: 0.88\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": 138.53685051325476, + "fos_buckling": 0.8832191228610418, + "fos_yielding": 2.9097333233378033, + "deflection": 0.011302261742121992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.462)" + }, + "parent_node_id": "node_1154", + "improvement_over_parent": null + }, + "node_1156": { + "node_id": "node_1156", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 158.46 kg\n Factor of Safety: 1.00\n Max Deflection: 9.90e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.4590971113841, + "fos_buckling": 0.9992336805139053, + "fos_yielding": 3.325208955505296, + "deflection": 0.009903337801979566, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_1155", + "improvement_over_parent": null + }, + "node_1157": { + "node_id": "node_1157", + "content": "MODIFICATION: Increase 2 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 164.10 kg\n Factor of Safety: 1.16\n Max Deflection: 9.60e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.10481877558254, + "fos_buckling": 1.1637432878321052, + "fos_yielding": 3.326541526972326, + "deflection": 0.009597778602189324, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.585)" + }, + "parent_node_id": "node_1156", + "improvement_over_parent": null + }, + "node_1158": { + "node_id": "node_1158", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 202.39 kg\n Factor of Safety: 1.39\n Max Deflection: 7.82e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.39138592259934, + "fos_buckling": 1.3878474102923868, + "fos_yielding": 4.0973201697791835, + "deflection": 0.007815823935354136, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_1157", + "improvement_over_parent": null + }, + "node_1159": { + "node_id": "node_1159", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.81 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.80767775699135, + "fos_buckling": 1.5269638519675754, + "fos_yielding": 4.6078930847447594, + "deflection": 0.006963675280236388, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_1158", + "improvement_over_parent": null + }, + "node_1160": { + "node_id": "node_1160", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1159", + "improvement_over_parent": null + }, + "node_1161": { + "node_id": "node_1161", + "content": "INITIAL DESIGN (Trace 166)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n Mass: 128.41 kg\n Factor of Safety: 0.42\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.4142582819833, + "fos_buckling": 0.41791456276124733, + "fos_yielding": 2.546491927612806, + "deflection": 0.018214195685054786, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1162": { + "node_id": "node_1162", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 150.01 kg\n Factor of Safety: 1.08\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": 150.01332125239136, + "fos_buckling": 1.0767268328947124, + "fos_yielding": 3.0422761115947936, + "deflection": 0.010482745642788218, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005193)" + }, + "parent_node_id": "node_1161", + "improvement_over_parent": null + }, + "node_1163": { + "node_id": "node_1163", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 194.32 kg\n Factor of Safety: 1.34\n Max Deflection: 8.13e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.3231196946546, + "fos_buckling": 1.3419694634026422, + "fos_yielding": 3.9349646084464256, + "deflection": 0.008133035480437046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_1162", + "improvement_over_parent": null + }, + "node_1164": { + "node_id": "node_1164", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.58 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5826297089133, + "fos_buckling": 1.5256463674736775, + "fos_yielding": 4.603269205622616, + "deflection": 0.006970460195274851, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_1163", + "improvement_over_parent": null + }, + "node_1165": { + "node_id": "node_1165", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1164", + "improvement_over_parent": null + }, + "node_1166": { + "node_id": "node_1166", + "content": "INITIAL DESIGN (Trace 167)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 178.19 kg\n Factor of Safety: 0.98\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": 178.19088617165372, + "fos_buckling": 0.9840082517768335, + "fos_yielding": 5.1437712751673565, + "deflection": 0.010713825047667588, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1167": { + "node_id": "node_1167", + "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 183.89 kg\n Factor of Safety: 0.98\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": 183.89074316886712, + "fos_buckling": 0.9832724033730907, + "fos_yielding": 5.1437712751673565, + "deflection": 0.010723281479202264, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.314)" + }, + "parent_node_id": "node_1166", + "improvement_over_parent": null + }, + "node_1168": { + "node_id": "node_1168", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 205.55 kg\n Factor of Safety: 0.98\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": 205.55003944571456, + "fos_buckling": 0.9804862085356625, + "fos_yielding": 4.587210546127292, + "deflection": 0.008819936483016353, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_1167", + "improvement_over_parent": null + }, + "node_1169": { + "node_id": "node_1169", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.64118757437487, + "fos_buckling": 1.5259619538543243, + "fos_yielding": 4.604208150813405, + "deflection": 0.006968808957853521, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_1168", + "improvement_over_parent": null + }, + "node_1170": { + "node_id": "node_1170", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1169", + "improvement_over_parent": null + }, + "node_1171": { + "node_id": "node_1171", + "content": "INITIAL DESIGN (Trace 168)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 120.58 kg\n Factor of Safety: 0.24\n Max Deflection: 4.75e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.58066487177096, + "fos_buckling": 0.24308899713550566, + "fos_yielding": 2.6623990946803944, + "deflection": 47479471371656.81, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1172": { + "node_id": "node_1172", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n\nPerformance:\n Mass: 138.52 kg\n Factor of Safety: 0.73\n Max Deflection: 4.30e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.52185899341782, + "fos_buckling": 0.729266991406517, + "fos_yielding": 4.23097182024157, + "deflection": 42997293143570.01, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005554)" + }, + "parent_node_id": "node_1171", + "improvement_over_parent": null + }, + "node_1173": { + "node_id": "node_1173", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n\nPerformance:\n Mass: 140.50 kg\n Factor of Safety: 0.97\n Max Deflection: 1.53e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.49722582209137, + "fos_buckling": 0.9723559885420227, + "fos_yielding": 3.5977639269392983, + "deflection": 15322558684576.709, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003085)" + }, + "parent_node_id": "node_1172", + "improvement_over_parent": null + }, + "node_1174": { + "node_id": "node_1174", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n\nPerformance:\n Mass: 155.56 kg\n Factor of Safety: 0.53\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.56142158274713, + "fos_buckling": 0.5287558709284471, + "fos_yielding": 3.539863834427596, + "deflection": 0.0160524317600792, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004071)" + }, + "parent_node_id": "node_1173", + "improvement_over_parent": null + }, + "node_1175": { + "node_id": "node_1175", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n\nPerformance:\n Mass: 187.82 kg\n Factor of Safety: 0.62\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.81646434043938, + "fos_buckling": 0.616428620673052, + "fos_yielding": 4.263322486438223, + "deflection": 0.01332441624229114, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1174", + "improvement_over_parent": null + }, + "node_1176": { + "node_id": "node_1176", + "content": "MODIFICATION: Increase 7 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0098)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n\nPerformance:\n Mass: 196.08 kg\n Factor of Safety: 0.62\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.07815817193335, + "fos_buckling": 0.6157615321225368, + "fos_yielding": 4.261854404764872, + "deflection": 0.013220880639417775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.439)" + }, + "parent_node_id": "node_1175", + "improvement_over_parent": null + }, + "node_1177": { + "node_id": "node_1177", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0098)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 228.47 kg\n Factor of Safety: 1.44\n Max Deflection: 7.02e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.47177781205164, + "fos_buckling": 1.4445537489579465, + "fos_yielding": 4.5614596388421695, + "deflection": 0.007024354526621798, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_1176", + "improvement_over_parent": null + }, + "node_1178": { + "node_id": "node_1178", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1177", + "improvement_over_parent": null + }, + "node_1179": { + "node_id": "node_1179", + "content": "INITIAL DESIGN (Trace 169)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 166.30 kg\n Factor of Safety: 0.85\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": 166.296988253017, + "fos_buckling": 0.8456764806426011, + "fos_yielding": 3.5082349492743696, + "deflection": 0.010780319766348594, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1180": { + "node_id": "node_1180", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.08 kg\n Factor of Safety: 1.00\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": 205.08459878782898, + "fos_buckling": 1.0035188341030437, + "fos_yielding": 4.334845212782113, + "deflection": 0.00878173156312251, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.256)" + }, + "parent_node_id": "node_1179", + "improvement_over_parent": null + }, + "node_1181": { + "node_id": "node_1181", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 226.74 kg\n Factor of Safety: 1.40\n Max Deflection: 7.03e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.7438950646764, + "fos_buckling": 1.4013401335971567, + "fos_yielding": 4.355364001886566, + "deflection": 0.0070329925864587115, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_1180", + "improvement_over_parent": null + }, + "node_1182": { + "node_id": "node_1182", + "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0048)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.28 kg\n Factor of Safety: 1.40\n Max Deflection: 6.99e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.28455834178936, + "fos_buckling": 1.398771666207574, + "fos_yielding": 4.34738120731699, + "deflection": 0.006985393033598248, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.256)" + }, + "parent_node_id": "node_1181", + "improvement_over_parent": null + }, + "node_1183": { + "node_id": "node_1183", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1182", + "improvement_over_parent": null + }, + "node_1184": { + "node_id": "node_1184", + "content": "INITIAL DESIGN (Trace 170)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, 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_1185": { + "node_id": "node_1185", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n\nPerformance:\n Mass: 102.87 kg\n Factor of Safety: 0.62\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 102.87178975693975, + "fos_buckling": 0.6213180291659367, + "fos_yielding": 2.9950948294750868, + "deflection": 0.018218205540424078, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003850)" + }, + "parent_node_id": "node_1184", + "improvement_over_parent": null + }, + "node_1186": { + "node_id": "node_1186", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n\nPerformance:\n Mass: 128.35 kg\n Factor of Safety: 0.75\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.3523145069654, + "fos_buckling": 0.7540447958629403, + "fos_yielding": 3.735698989960574, + "deflection": 0.014651821499747811, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_1185", + "improvement_over_parent": null + }, + "node_1187": { + "node_id": "node_1187", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n\nPerformance:\n Mass: 146.93 kg\n Factor of Safety: 0.77\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": 146.9333708798125, + "fos_buckling": 0.7700854546205416, + "fos_yielding": 3.735698989960574, + "deflection": 0.011926386809557002, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005084)" + }, + "parent_node_id": "node_1186", + "improvement_over_parent": null + }, + "node_1188": { + "node_id": "node_1188", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n\nPerformance:\n Mass: 170.08 kg\n Factor of Safety: 0.87\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.08322200618449, + "fos_buckling": 0.8713386541806553, + "fos_yielding": 4.323114925916975, + "deflection": 0.010332224600987816, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_1187", + "improvement_over_parent": null + }, + "node_1189": { + "node_id": "node_1189", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 202.75 kg\n Factor of Safety: 1.01\n Max Deflection: 8.70e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.7546417567524, + "fos_buckling": 1.0051765327824849, + "fos_yielding": 5.151601494285272, + "deflection": 0.008701795545512998, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_1188", + "improvement_over_parent": null + }, + "node_1190": { + "node_id": "node_1190", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.87 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.87393673425333, + "fos_buckling": 1.5272081924940195, + "fos_yielding": 4.6099509378595025, + "deflection": 0.006961386135911685, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_1189", + "improvement_over_parent": null + }, + "node_1191": { + "node_id": "node_1191", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1190", + "improvement_over_parent": null + }, + "node_1192": { + "node_id": "node_1192", + "content": "INITIAL DESIGN (Trace 171)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n Mass: 110.16 kg\n Factor of Safety: 0.82\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": 110.15500444527972, + "fos_buckling": 0.8178662037088998, + "fos_yielding": 2.2369515563313573, + "deflection": 0.0142113932819262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1193": { + "node_id": "node_1193", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n Mass: 140.66 kg\n Factor of Safety: 1.02\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": 140.65875416315777, + "fos_buckling": 1.0177583594268906, + "fos_yielding": 2.8534436876619993, + "deflection": 0.011168053857458381, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_1192", + "improvement_over_parent": null + }, + "node_1194": { + "node_id": "node_1194", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 176.63 kg\n Factor of Safety: 1.24\n Max Deflection: 8.93e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.63297879453253, + "fos_buckling": 1.2389718396101188, + "fos_yielding": 3.5788579127875884, + "deflection": 0.008929739685025669, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_1193", + "improvement_over_parent": null + }, + "node_1195": { + "node_id": "node_1195", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.80 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.8011789215313, + "fos_buckling": 1.5268857715204325, + "fos_yielding": 4.607613787566616, + "deflection": 0.006963934201315403, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_1194", + "improvement_over_parent": null + }, + "node_1196": { + "node_id": "node_1196", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1195", + "improvement_over_parent": null + }, + "node_1197": { + "node_id": "node_1197", + "content": "INITIAL DESIGN (Trace 172)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 130.25 kg\n Factor of Safety: 0.46\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.25150069339574, + "fos_buckling": 0.4634887418497129, + "fos_yielding": 2.50870700467218, + "deflection": 0.016795325733609638, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1198": { + "node_id": "node_1198", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 157.94 kg\n Factor of Safety: 0.55\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": 157.94175384086958, + "fos_buckling": 0.545289852630525, + "fos_yielding": 3.0482188407049953, + "deflection": 0.013900924386572295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_1197", + "improvement_over_parent": null + }, + "node_1199": { + "node_id": "node_1199", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n\nPerformance:\n Mass: 185.76 kg\n Factor of Safety: 1.15\n Max Deflection: 8.78e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.7648059369417, + "fos_buckling": 1.151351299875557, + "fos_yielding": 3.027320378483838, + "deflection": 0.008778101828827066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006855)" + }, + "parent_node_id": "node_1198", + "improvement_over_parent": null + }, + "node_1200": { + "node_id": "node_1200", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 216.48 kg\n Factor of Safety: 1.32\n Max Deflection: 7.55e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.48450626393952, + "fos_buckling": 1.3193540999117406, + "fos_yielding": 3.5352617881840693, + "deflection": 0.0075540319800463905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_1199", + "improvement_over_parent": null + }, + "node_1201": { + "node_id": "node_1201", + "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 217.68 kg\n Factor of Safety: 1.45\n Max Deflection: 7.46e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.67994680323056, + "fos_buckling": 1.4470191080629955, + "fos_yielding": 4.610760605480523, + "deflection": 0.007459923255645294, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.342)" + }, + "parent_node_id": "node_1200", + "improvement_over_parent": null + }, + "node_1202": { + "node_id": "node_1202", + "content": "MODIFICATION: Increase 0 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.78 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.78371700303984, + "fos_buckling": 1.5268722865225857, + "fos_yielding": 4.606547326108199, + "deflection": 0.006964573307174392, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.621)" + }, + "parent_node_id": "node_1201", + "improvement_over_parent": null + }, + "node_1203": { + "node_id": "node_1203", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1202", + "improvement_over_parent": null + }, + "node_1204": { + "node_id": "node_1204", + "content": "INITIAL DESIGN (Trace 173)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n Mass: 161.68 kg\n Factor of Safety: 1.01\n Max Deflection: 9.82e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.6807567098234, + "fos_buckling": 1.01041785240055, + "fos_yielding": 3.38177534984023, + "deflection": 0.009819919036971997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1205": { + "node_id": "node_1205", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 182.73 kg\n Factor of Safety: 1.13\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": 182.72790528728126, + "fos_buckling": 1.126176624489575, + "fos_yielding": 3.8182943804910634, + "deflection": 0.008708462387397383, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_1204", + "improvement_over_parent": null + }, + "node_1206": { + "node_id": "node_1206", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 220.61 kg\n Factor of Safety: 1.33\n Max Deflection: 7.24e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.60516417808293, + "fos_buckling": 1.325428945186035, + "fos_yielding": 4.601627712630651, + "deflection": 0.007242438615862735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1205", + "improvement_over_parent": null + }, + "node_1207": { + "node_id": "node_1207", + "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.36 kg\n Factor of Safety: 1.52\n Max Deflection: 6.98e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.36293935990915, + "fos_buckling": 1.5246840419858816, + "fos_yielding": 4.599342124376825, + "deflection": 0.006977086565102668, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.290)" + }, + "parent_node_id": "node_1206", + "improvement_over_parent": null + }, + "node_1208": { + "node_id": "node_1208", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1207", + "improvement_over_parent": null + }, + "node_1209": { + "node_id": "node_1209", + "content": "INITIAL DESIGN (Trace 174)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n\nPerformance:\n Mass: 110.12 kg\n Factor of Safety: 1.39\n Max Deflection: 1.86e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.11634520438828, + "fos_buckling": 1.388355712090745, + "fos_yielding": 3.779233134014653, + "deflection": 18558139580615.992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 138.08 kg\n Factor of Safety: 0.40\n Max Deflection: 5.12e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.08174669919896, + "fos_buckling": 0.39896966631073855, + "fos_yielding": 0.32908002874794623, + "deflection": 511922450128548.9, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006846)" + }, + "parent_node_id": "node_1209", + "improvement_over_parent": null + }, + "node_1211": { + "node_id": "node_1211", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n\nPerformance:\n Mass: 159.94 kg\n Factor of Safety: 0.54\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.93719663805604, + "fos_buckling": 0.5419859727929865, + "fos_yielding": 3.6434239562769486, + "deflection": 0.014095330685450207, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006052)" + }, + "parent_node_id": "node_1210", + "improvement_over_parent": null + }, + "node_1212": { + "node_id": "node_1212", + "content": "MODIFICATION: Increase 8 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0102)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n\nPerformance:\n Mass: 171.96 kg\n Factor of Safety: 0.54\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.95854695161046, + "fos_buckling": 0.5411299435752166, + "fos_yielding": 3.6415965937393517, + "deflection": 0.013618962379769431, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.484)" + }, + "parent_node_id": "node_1211", + "improvement_over_parent": null + }, + "node_1213": { + "node_id": "node_1213", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0102)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n\nPerformance:\n Mass: 199.60 kg\n Factor of Safety: 1.35\n Max Deflection: 7.90e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.59771600296338, + "fos_buckling": 1.3484544402347607, + "fos_yielding": 4.031882859296359, + "deflection": 0.007904260204958904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006806)" + }, + "parent_node_id": "node_1212", + "improvement_over_parent": null + }, + "node_1214": { + "node_id": "node_1214", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0121)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 233.66 kg\n Factor of Safety: 1.53\n Max Deflection: 6.78e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 233.66100992646307, + "fos_buckling": 1.53363766837095, + "fos_yielding": 4.719119723676811, + "deflection": 0.006775770418229025, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_1213", + "improvement_over_parent": null + }, + "node_1215": { + "node_id": "node_1215", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1214", + "improvement_over_parent": null + }, + "node_1216": { + "node_id": "node_1216", + "content": "INITIAL DESIGN (Trace 175)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0034)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0022)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0033)]\n\nPerformance:\n Mass: 109.88 kg\n Factor of Safety: 0.77\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": 109.8816599639687, + "fos_buckling": 0.7695138412704813, + "fos_yielding": 2.36295626665331, + "deflection": 0.014206983476168685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1217": { + "node_id": "node_1217", + "content": "MODIFICATION: Increase 8 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0034)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0033)]\n\nPerformance:\n Mass: 114.61 kg\n Factor of Safety: 0.77\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 114.60697513524721, + "fos_buckling": 0.7670282862159437, + "fos_yielding": 2.3639394879170483, + "deflection": 0.013740912213331851, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.582)" + }, + "parent_node_id": "node_1216", + "improvement_over_parent": null + }, + "node_1218": { + "node_id": "node_1218", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n\nPerformance:\n Mass: 149.89 kg\n Factor of Safety: 0.98\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": 149.89297913621277, + "fos_buckling": 0.9787680288830635, + "fos_yielding": 3.0873646530201873, + "deflection": 0.01054703749478095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_1217", + "improvement_over_parent": null + }, + "node_1219": { + "node_id": "node_1219", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 189.11 kg\n Factor of Safety: 1.20\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": 189.11024643089758, + "fos_buckling": 1.2007628246693989, + "fos_yielding": 3.888923152662862, + "deflection": 0.008395738371739618, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_1218", + "improvement_over_parent": null + }, + "node_1220": { + "node_id": "node_1220", + "content": "MODIFICATION: Increase 10 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 193.46 kg\n Factor of Safety: 1.34\n Max Deflection: 8.17e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.4614295341927, + "fos_buckling": 1.3368416285225844, + "fos_yielding": 3.9178150892752965, + "deflection": 0.008168465571231708, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.200)" + }, + "parent_node_id": "node_1219", + "improvement_over_parent": null + }, + "node_1221": { + "node_id": "node_1221", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.80 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.8039605347822, + "fos_buckling": 1.5266193982803595, + "fos_yielding": 4.607924956242109, + "deflection": 0.006963858711439186, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_1220", + "improvement_over_parent": null + }, + "node_1222": { + "node_id": "node_1222", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1221", + "improvement_over_parent": null + }, + "node_1223": { + "node_id": "node_1223", + "content": "INITIAL DESIGN (Trace 176)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n Mass: 161.89 kg\n Factor of Safety: 0.78\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": 161.8867524422247, + "fos_buckling": 0.7836310333337021, + "fos_yielding": 4.161830061539796, + "deflection": 0.012266614662954714, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1224": { + "node_id": "node_1224", + "content": "MODIFICATION: Increase 6 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n Mass: 169.09 kg\n Factor of Safety: 0.78\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": 169.0927707577363, + "fos_buckling": 0.7828888318878524, + "fos_yielding": 4.161830061539795, + "deflection": 0.012280064083395896, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.429)" + }, + "parent_node_id": "node_1223", + "improvement_over_parent": null + }, + "node_1225": { + "node_id": "node_1225", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 190.75 kg\n Factor of Safety: 0.98\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": 190.75206703458372, + "fos_buckling": 0.9822644063175909, + "fos_yielding": 3.6780668819792055, + "deflection": 0.009843553577929652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_1224", + "improvement_over_parent": null + }, + "node_1226": { + "node_id": "node_1226", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 212.84 kg\n Factor of Safety: 1.25\n Max Deflection: 7.62e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.84321516324403, + "fos_buckling": 1.2460926216517934, + "fos_yielding": 3.69139819038482, + "deflection": 0.00762318033740318, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_1225", + "improvement_over_parent": null + }, + "node_1227": { + "node_id": "node_1227", + "content": "MODIFICATION: Increase 10 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0095)]\n\nPerformance:\n Mass: 220.20 kg\n Factor of Safety: 1.24\n Max Deflection: 7.49e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.20320492412162, + "fos_buckling": 1.2432953472610209, + "fos_yielding": 3.6918841267760407, + "deflection": 0.007486668304012793, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.381)" + }, + "parent_node_id": "node_1226", + "improvement_over_parent": null + }, + "node_1228": { + "node_id": "node_1228", + "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0091)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0095)]\n\nPerformance:\n Mass: 226.08 kg\n Factor of Safety: 1.24\n Max Deflection: 7.36e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.0821981042414, + "fos_buckling": 1.2409665871509343, + "fos_yielding": 3.6923296204120417, + "deflection": 0.007359692001048844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.259)" + }, + "parent_node_id": "node_1227", + "improvement_over_parent": null + }, + "node_1229": { + "node_id": "node_1229", + "content": "MODIFICATION: Increase 0 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0091)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0095)]\n\nPerformance:\n Mass: 231.48 kg\n Factor of Safety: 1.24\n Max Deflection: 7.17e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.4825772528722, + "fos_buckling": 1.2423642476574377, + "fos_yielding": 3.6907836682066573, + "deflection": 0.007172149805799849, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.263)" + }, + "parent_node_id": "node_1228", + "improvement_over_parent": null + }, + "node_1230": { + "node_id": "node_1230", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1229", + "improvement_over_parent": null + }, + "node_1231": { + "node_id": "node_1231", + "content": "INITIAL DESIGN (Trace 177)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0009)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 125.04 kg\n Factor of Safety: 0.30\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.04042462179406, + "fos_buckling": 0.30074573638494667, + "fos_yielding": 1.5639033631472705, + "deflection": 0.020164436433630178, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1232": { + "node_id": "node_1232", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0011)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 150.14 kg\n Factor of Safety: 0.36\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.1385543822359, + "fos_buckling": 0.36015547996039576, + "fos_yielding": 1.8893049762745013, + "deflection": 0.016819638586378964, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_1231", + "improvement_over_parent": null + }, + "node_1233": { + "node_id": "node_1233", + "content": "MODIFICATION: Increase 5 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 150.53 kg\n Factor of Safety: 0.50\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.5282881364828, + "fos_buckling": 0.49947542825814445, + "fos_yielding": 2.780658364121281, + "deflection": 0.015957510245537817, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.538)" + }, + "parent_node_id": "node_1232", + "improvement_over_parent": null + }, + "node_1234": { + "node_id": "node_1234", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 194.29 kg\n Factor of Safety: 0.62\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.29012757507223, + "fos_buckling": 0.6160827191747765, + "fos_yielding": 3.6156884199150756, + "deflection": 0.012410443743906695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_1233", + "improvement_over_parent": null + }, + "node_1235": { + "node_id": "node_1235", + "content": "MODIFICATION: Increase 5 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 195.18 kg\n Factor of Safety: 0.62\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.18418138788962, + "fos_buckling": 0.615938402914679, + "fos_yielding": 4.260290206215018, + "deflection": 0.011904751300639905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.658)" + }, + "parent_node_id": "node_1234", + "improvement_over_parent": null + }, + "node_1236": { + "node_id": "node_1236", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.58 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5778010280079, + "fos_buckling": 1.5256417557968018, + "fos_yielding": 4.602993776956034, + "deflection": 0.006970632273259662, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_1235", + "improvement_over_parent": null + }, + "node_1237": { + "node_id": "node_1237", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1236", + "improvement_over_parent": null + }, + "node_1238": { + "node_id": "node_1238", + "content": "INITIAL DESIGN (Trace 178)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0013)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0028)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n\nPerformance:\n Mass: 116.64 kg\n Factor of Safety: 0.50\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.63912819293124, + "fos_buckling": 0.5004716597573852, + "fos_yielding": 1.4198987219836798, + "deflection": 0.014113981410403334, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1239": { + "node_id": "node_1239", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0015)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n Mass: 141.37 kg\n Factor of Safety: 0.60\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.3662444722966, + "fos_buckling": 0.6034372555528094, + "fos_yielding": 1.7278152651536294, + "deflection": 0.011668865887763247, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_1238", + "improvement_over_parent": null + }, + "node_1240": { + "node_id": "node_1240", + "content": "MODIFICATION: Increase 4 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n Mass: 142.13 kg\n Factor of Safety: 0.78\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": 142.12865306415438, + "fos_buckling": 0.7812939587509963, + "fos_yielding": 2.6340400035944236, + "deflection": 0.011356369102094392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.567)" + }, + "parent_node_id": "node_1239", + "improvement_over_parent": null + }, + "node_1241": { + "node_id": "node_1241", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0041)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 169.89 kg\n Factor of Safety: 0.92\n Max Deflection: 9.53e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.8871911246877, + "fos_buckling": 0.920469665047386, + "fos_yielding": 3.153611577566069, + "deflection": 0.00952538922725858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_1240", + "improvement_over_parent": null + }, + "node_1242": { + "node_id": "node_1242", + "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0041)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 170.84 kg\n Factor of Safety: 0.94\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": 170.83548033047978, + "fos_buckling": 0.9448782456158741, + "fos_yielding": 3.735634470152359, + "deflection": 0.009394582024192756, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.393)" + }, + "parent_node_id": "node_1241", + "improvement_over_parent": null + }, + "node_1243": { + "node_id": "node_1243", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 211.22 kg\n Factor of Safety: 1.14\n Max Deflection: 7.63e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.2172172151574, + "fos_buckling": 1.1431164221379246, + "fos_yielding": 4.606856145034996, + "deflection": 0.007628241221387521, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_1242", + "improvement_over_parent": null + }, + "node_1244": { + "node_id": "node_1244", + "content": "MODIFICATION: Increase 8 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 216.71 kg\n Factor of Safety: 1.20\n Max Deflection: 7.45e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.71394445467382, + "fos_buckling": 1.19567613627819, + "fos_yielding": 4.607788134819716, + "deflection": 0.007454565128236219, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.300)" + }, + "parent_node_id": "node_1243", + "improvement_over_parent": null + }, + "node_1245": { + "node_id": "node_1245", + "content": "MODIFICATION: Increase 7 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.60 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5959778528429, + "fos_buckling": 1.5258491910312204, + "fos_yielding": 4.603717726651295, + "deflection": 0.00696997252799588, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.555)" + }, + "parent_node_id": "node_1244", + "improvement_over_parent": null + }, + "node_1246": { + "node_id": "node_1246", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1245", + "improvement_over_parent": null + }, + "node_1247": { + "node_id": "node_1247", + "content": "INITIAL DESIGN (Trace 179)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n\nPerformance:\n Mass: 126.95 kg\n Factor of Safety: 0.22\n Max Deflection: 4.42e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.95483879398756, + "fos_buckling": 0.2223731917174665, + "fos_yielding": 3.1155928575892524, + "deflection": 44172680872813.766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1248": { + "node_id": "node_1248", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 154.06 kg\n Factor of Safety: 0.52\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.05673613685644, + "fos_buckling": 0.521968284506983, + "fos_yielding": 4.256132061294247, + "deflection": 0.01524047053254328, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006618)" + }, + "parent_node_id": "node_1247", + "improvement_over_parent": null + }, + "node_1249": { + "node_id": "node_1249", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 186.47 kg\n Factor of Safety: 0.63\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": 186.46819107578307, + "fos_buckling": 0.6251553198236517, + "fos_yielding": 5.145454905829167, + "deflection": 0.012587778457955806, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_1248", + "improvement_over_parent": null + }, + "node_1250": { + "node_id": "node_1250", + "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 192.61 kg\n Factor of Safety: 0.80\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.61101390588755, + "fos_buckling": 0.803146184855505, + "fos_yielding": 5.145454905829167, + "deflection": 0.01142149212552382, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.351)" + }, + "parent_node_id": "node_1249", + "improvement_over_parent": null + }, + "node_1251": { + "node_id": "node_1251", + "content": "MODIFICATION: Increase 6 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 200.13 kg\n Factor of Safety: 1.00\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.13457046060805, + "fos_buckling": 1.0030243896846749, + "fos_yielding": 5.145454905829167, + "deflection": 0.010598929564856632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.332)" + }, + "parent_node_id": "node_1250", + "improvement_over_parent": null + }, + "node_1252": { + "node_id": "node_1252", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 202.52 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.5192527721942, + "fos_buckling": 1.004218614321052, + "fos_yielding": 5.145454905829167, + "deflection": 0.0087117962708753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_1251", + "improvement_over_parent": null + }, + "node_1253": { + "node_id": "node_1253", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63854774969514, + "fos_buckling": 1.5260089629446327, + "fos_yielding": 4.604311157575215, + "deflection": 0.006968800207020984, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_1252", + "improvement_over_parent": null + }, + "node_1254": { + "node_id": "node_1254", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1253", + "improvement_over_parent": null + }, + "node_1255": { + "node_id": "node_1255", + "content": "INITIAL DESIGN (Trace 180)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0014)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n\nPerformance:\n Mass: 98.72 kg\n Factor of Safety: 0.38\n Max Deflection: 2.36e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 98.72326232084522, + "fos_buckling": 0.3778273754861849, + "fos_yielding": 2.26795945526378, + "deflection": 0.023602506208029197, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1256": { + "node_id": "node_1256", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0014)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n Mass: 117.94 kg\n Factor of Safety: 0.62\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.93876155319191, + "fos_buckling": 0.6246377569776353, + "fos_yielding": 2.703162461362476, + "deflection": 0.014948438189570193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.004590)" + }, + "parent_node_id": "node_1255", + "improvement_over_parent": null + }, + "node_1257": { + "node_id": "node_1257", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n Mass: 154.53 kg\n Factor of Safety: 0.79\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": 154.53021289644207, + "fos_buckling": 0.7897495102995128, + "fos_yielding": 3.5367888701588575, + "deflection": 0.011458689394817733, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_1256", + "improvement_over_parent": null + }, + "node_1258": { + "node_id": "node_1258", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n\nPerformance:\n Mass: 174.19 kg\n Factor of Safety: 1.04\n Max Deflection: 9.19e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.18944860834188, + "fos_buckling": 1.038447069827914, + "fos_yielding": 3.5560794250352603, + "deflection": 0.009193524550317137, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005400)" + }, + "parent_node_id": "node_1257", + "improvement_over_parent": null + }, + "node_1259": { + "node_id": "node_1259", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n\nPerformance:\n Mass: 199.27 kg\n Factor of Safety: 1.18\n Max Deflection: 8.06e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.27125701591575, + "fos_buckling": 1.1781872819581012, + "fos_yielding": 4.064363211362889, + "deflection": 0.008057041495247061, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_1258", + "improvement_over_parent": null + }, + "node_1260": { + "node_id": "node_1260", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 226.85 kg\n Factor of Safety: 1.33\n Max Deflection: 7.10e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.84631110856057, + "fos_buckling": 1.3288863261532007, + "fos_yielding": 4.622073881960423, + "deflection": 0.007097568147760994, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_1259", + "improvement_over_parent": null + }, + "node_1261": { + "node_id": "node_1261", + "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.66 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6575173156065, + "fos_buckling": 1.526257378422587, + "fos_yielding": 4.60509986586449, + "deflection": 0.006967977737950101, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.565)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 181)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, 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_1264": { + "node_id": "node_1264", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 132.70 kg\n Factor of Safety: 0.52\n Max Deflection: 4.05e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.69700786498706, + "fos_buckling": 0.5170329551223397, + "fos_yielding": 4.331459339178495, + "deflection": 40452696769140.45, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005955)" + }, + "parent_node_id": "node_1263", + "improvement_over_parent": null + }, + "node_1265": { + "node_id": "node_1265", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n\nPerformance:\n Mass: 134.72 kg\n Factor of Safety: 0.52\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.7197724867159, + "fos_buckling": 0.5202322891756468, + "fos_yielding": 3.2746972709094737, + "deflection": 0.01763768008448269, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003165)" + }, + "parent_node_id": "node_1264", + "improvement_over_parent": null + }, + "node_1266": { + "node_id": "node_1266", + "content": "MODIFICATION: Increase 7 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0090)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n\nPerformance:\n Mass: 144.38 kg\n Factor of Safety: 0.52\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.37529361465332, + "fos_buckling": 0.5195699277406529, + "fos_yielding": 3.2715880220204325, + "deflection": 0.016331473213618, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.511)" + }, + "parent_node_id": "node_1265", + "improvement_over_parent": null + }, + "node_1267": { + "node_id": "node_1267", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0108)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 169.95 kg\n Factor of Safety: 0.59\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.94517009026725, + "fos_buckling": 0.5941022979246541, + "fos_yielding": 3.8499846170207785, + "deflection": 0.013899400354857969, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_1266", + "improvement_over_parent": null + }, + "node_1268": { + "node_id": "node_1268", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0108)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 202.72 kg\n Factor of Safety: 0.71\n Max Deflection: 9.96e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.72276483315275, + "fos_buckling": 0.7073984970848342, + "fos_yielding": 4.536531145618866, + "deflection": 0.009955875019840485, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_1267", + "improvement_over_parent": null + }, + "node_1269": { + "node_id": "node_1269", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0108)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 228.34 kg\n Factor of Safety: 1.21\n Max Deflection: 7.27e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.33929374244735, + "fos_buckling": 1.211405416015527, + "fos_yielding": 4.557298040148558, + "deflection": 0.0072654972103849075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_1268", + "improvement_over_parent": null + }, + "node_1270": { + "node_id": "node_1270", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1269", + "improvement_over_parent": null + }, + "node_1271": { + "node_id": "node_1271", + "content": "INITIAL DESIGN (Trace 182)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 140.24 kg\n Factor of Safety: 0.71\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": 140.2381065079563, + "fos_buckling": 0.7077826245351434, + "fos_yielding": 4.153996189821421, + "deflection": 0.013976560759343717, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1272": { + "node_id": "node_1272", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n\nPerformance:\n Mass: 160.92 kg\n Factor of Safety: 0.71\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.91599003564772, + "fos_buckling": 0.7058569089245589, + "fos_yielding": 4.153996189821421, + "deflection": 0.011539071411048436, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005701)" + }, + "parent_node_id": "node_1271", + "improvement_over_parent": null + }, + "node_1273": { + "node_id": "node_1273", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n\nPerformance:\n Mass: 178.40 kg\n Factor of Safety: 1.11\n Max Deflection: 8.99e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.4009542496069, + "fos_buckling": 1.111126811319994, + "fos_yielding": 3.6972926893601024, + "deflection": 0.008990377299235573, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005402)" + }, + "parent_node_id": "node_1272", + "improvement_over_parent": null + }, + "node_1274": { + "node_id": "node_1274", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 221.25 kg\n Factor of Safety: 1.34\n Max Deflection: 7.28e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.2454078662915, + "fos_buckling": 1.3375870347245855, + "fos_yielding": 4.576596769433184, + "deflection": 0.007280700789570432, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_1273", + "improvement_over_parent": null + }, + "node_1275": { + "node_id": "node_1275", + "content": "MODIFICATION: Increase 10 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0085)]\n\nPerformance:\n Mass: 225.90 kg\n Factor of Safety: 1.37\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": 225.89765257191934, + "fos_buckling": 1.3721248148733765, + "fos_yielding": 4.552504486012977, + "deflection": 0.007192006126279708, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.242)" + }, + "parent_node_id": "node_1274", + "improvement_over_parent": null + }, + "node_1276": { + "node_id": "node_1276", + "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0074)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0085)]\n\nPerformance:\n Mass: 227.43 kg\n Factor of Safety: 1.37\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.42552785254077, + "fos_buckling": 1.3662127769108217, + "fos_yielding": 5.372345479596148, + "deflection": 0.007112861645774161, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.346)" + }, + "parent_node_id": "node_1275", + "improvement_over_parent": null + }, + "node_1277": { + "node_id": "node_1277", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1276", + "improvement_over_parent": null + }, + "node_1278": { + "node_id": "node_1278", + "content": "INITIAL DESIGN (Trace 183)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 164.14 kg\n Factor of Safety: 0.54\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": 164.1422120377531, + "fos_buckling": 0.5443356216452735, + "fos_yielding": 3.664710229518748, + "deflection": 0.01457619942325358, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1279": { + "node_id": "node_1279", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 191.39 kg\n Factor of Safety: 0.62\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": 191.3899987730531, + "fos_buckling": 0.6165293681531492, + "fos_yielding": 4.264740680418105, + "deflection": 0.012532560423380641, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_1278", + "improvement_over_parent": null + }, + "node_1280": { + "node_id": "node_1280", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 223.78 kg\n Factor of Safety: 1.49\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": 223.78361841317138, + "fos_buckling": 1.4889958999531907, + "fos_yielding": 4.6050086876370395, + "deflection": 0.007052729442894619, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_1279", + "improvement_over_parent": null + }, + "node_1281": { + "node_id": "node_1281", + "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0085)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 228.22 kg\n Factor of Safety: 1.49\n Max Deflection: 6.98e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.2164328746666, + "fos_buckling": 1.487049844364115, + "fos_yielding": 4.5823104259109755, + "deflection": 0.006978363002318014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.198)" + }, + "parent_node_id": "node_1280", + "improvement_over_parent": null + }, + "node_1282": { + "node_id": "node_1282", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1281", + "improvement_over_parent": null + }, + "node_1283": { + "node_id": "node_1283", + "content": "INITIAL DESIGN (Trace 184)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 139.64 kg\n Factor of Safety: 0.76\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": 139.64390226632935, + "fos_buckling": 0.7611640264624524, + "fos_yielding": 3.087328764531637, + "deflection": 0.013064413350027195, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1284": { + "node_id": "node_1284", + "content": "MODIFICATION: Increase 1 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 143.72 kg\n Factor of Safety: 0.76\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": 143.7187610473156, + "fos_buckling": 0.760755112295017, + "fos_yielding": 3.087328764531637, + "deflection": 0.012178772923783563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.269)" + }, + "parent_node_id": "node_1283", + "improvement_over_parent": null + }, + "node_1285": { + "node_id": "node_1285", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n Mass: 161.69 kg\n Factor of Safety: 1.06\n Max Deflection: 9.83e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.68601577596513, + "fos_buckling": 1.0604722153944521, + "fos_yielding": 2.7759787656657937, + "deflection": 0.009833949548825612, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004960)" + }, + "parent_node_id": "node_1284", + "improvement_over_parent": null + }, + "node_1286": { + "node_id": "node_1286", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 182.45 kg\n Factor of Safety: 1.18\n Max Deflection: 8.73e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.44525801814544, + "fos_buckling": 1.181951649329462, + "fos_yielding": 3.1347240347801186, + "deflection": 0.008734492000599337, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_1285", + "improvement_over_parent": null + }, + "node_1287": { + "node_id": "node_1287", + "content": "MODIFICATION: Increase 6 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 183.10 kg\n Factor of Safety: 1.18\n Max Deflection: 8.66e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.09822453967854, + "fos_buckling": 1.182154478945508, + "fos_yielding": 3.5837493177993736, + "deflection": 0.00866221071711523, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.206)" + }, + "parent_node_id": "node_1286", + "improvement_over_parent": null + }, + "node_1288": { + "node_id": "node_1288", + "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 183.72 kg\n Factor of Safety: 1.28\n Max Deflection: 8.59e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.71845071928755, + "fos_buckling": 1.2809455135393437, + "fos_yielding": 3.7229072790396525, + "deflection": 0.008592101028369664, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.229)" + }, + "parent_node_id": "node_1287", + "improvement_over_parent": null + }, + "node_1289": { + "node_id": "node_1289", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.72 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.72341755111833, + "fos_buckling": 1.5267503799496274, + "fos_yielding": 4.607723659402717, + "deflection": 0.006966165709154059, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_1288", + "improvement_over_parent": null + }, + "node_1290": { + "node_id": "node_1290", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1289", + "improvement_over_parent": null + }, + "node_1291": { + "node_id": "node_1291", + "content": "INITIAL DESIGN (Trace 185)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 195.04 kg\n Factor of Safety: 1.13\n Max Deflection: 8.43e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.03854049123706, + "fos_buckling": 1.1313085528079558, + "fos_yielding": 4.166337261347636, + "deflection": 0.008433706208712456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1292": { + "node_id": "node_1292", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 216.77 kg\n Factor of Safety: 1.25\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": 216.76746689474743, + "fos_buckling": 1.2471159476624143, + "fos_yielding": 4.625165187689239, + "deflection": 0.007602510589157383, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_1291", + "improvement_over_parent": null + }, + "node_1293": { + "node_id": "node_1293", + "content": "MODIFICATION: Increase 5 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 217.52 kg\n Factor of Safety: 1.45\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": 217.52061370828972, + "fos_buckling": 1.4461122349337414, + "fos_yielding": 4.608363812482059, + "deflection": 0.00746537306943935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.506)" + }, + "parent_node_id": "node_1292", + "improvement_over_parent": null + }, + "node_1294": { + "node_id": "node_1294", + "content": "MODIFICATION: Increase 0 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.62 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.61523733410132, + "fos_buckling": 1.5259875990550564, + "fos_yielding": 4.604153602600945, + "deflection": 0.006969479091558518, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.621)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n Mass: 142.69 kg\n Factor of Safety: 0.39\n Max Deflection: 4.76e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.69402554622297, + "fos_buckling": 0.3876146054343317, + "fos_yielding": 2.8628006085868862, + "deflection": 0.04762980871775841, + "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 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n\nPerformance:\n Mass: 144.46 kg\n Factor of Safety: 0.46\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": 144.46216893585702, + "fos_buckling": 0.462617580036483, + "fos_yielding": 2.862468449092563, + "deflection": 0.016219752862851308, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002739)" + }, + "parent_node_id": "node_1296", + "improvement_over_parent": null + }, + "node_1298": { + "node_id": "node_1298", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n Mass: 174.41 kg\n Factor of Safety: 0.54\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.41264539332047, + "fos_buckling": 0.5416759608416576, + "fos_yielding": 3.450854717112444, + "deflection": 0.013479264232951168, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_1297", + "improvement_over_parent": null + }, + "node_1299": { + "node_id": "node_1299", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 203.76 kg\n Factor of Safety: 1.40\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": 203.75816520830296, + "fos_buckling": 1.395642287379096, + "fos_yielding": 4.124561599459361, + "deflection": 0.007764624780523938, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007213)" + }, + "parent_node_id": "node_1298", + "improvement_over_parent": null + }, + "node_1300": { + "node_id": "node_1300", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.68 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.67743197113396, + "fos_buckling": 1.5263927582850145, + "fos_yielding": 4.6050173565399275, + "deflection": 0.006967587718229367, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n\nPerformance:\n Mass: 96.01 kg\n Factor of Safety: 0.39\n Max Deflection: 2.43e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 96.0069259007541, + "fos_buckling": 0.39371887681687295, + "fos_yielding": 2.373420707675407, + "deflection": 0.02428853702520512, + "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: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n Mass: 112.22 kg\n Factor of Safety: 0.45\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": 112.22381707712739, + "fos_buckling": 0.45096603493086057, + "fos_yielding": 2.7699081816605684, + "deflection": 0.020814966840388048, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_1302", + "improvement_over_parent": null + }, + "node_1304": { + "node_id": "node_1304", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 128.89 kg\n Factor of Safety: 0.51\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.89203820416904, + "fos_buckling": 0.5070793590274046, + "fos_yielding": 3.176022332364214, + "deflection": 0.018155592320527485, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_1303", + "improvement_over_parent": null + }, + "node_1305": { + "node_id": "node_1305", + "content": "MODIFICATION: Increase 1 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 134.29 kg\n Factor of Safety: 0.51\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.29123940276446, + "fos_buckling": 0.5067178701321594, + "fos_yielding": 3.175459661294609, + "deflection": 0.018167110406458485, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.326)" + }, + "parent_node_id": "node_1304", + "improvement_over_parent": null + }, + "node_1306": { + "node_id": "node_1306", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 163.52 kg\n Factor of Safety: 0.60\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.51517565646304, + "fos_buckling": 0.5951354400426491, + "fos_yielding": 3.8577660520661237, + "deflection": 0.014957178328446773, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_1305", + "improvement_over_parent": null + }, + "node_1307": { + "node_id": "node_1307", + "content": "MODIFICATION: Increase 0 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 172.85 kg\n Factor of Safety: 0.59\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.84842064851745, + "fos_buckling": 0.5944056397931913, + "fos_yielding": 3.8565867745742684, + "deflection": 0.01368871614197448, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.550)" + }, + "parent_node_id": "node_1306", + "improvement_over_parent": null + }, + "node_1308": { + "node_id": "node_1308", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.63 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.62601539140294, + "fos_buckling": 0.9809726527894055, + "fos_yielding": 4.58979224404311, + "deflection": 0.00881619356666893, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_1307", + "improvement_over_parent": null + }, + "node_1309": { + "node_id": "node_1309", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.72 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.71716352006325, + "fos_buckling": 1.5263635742721768, + "fos_yielding": 4.606789384980902, + "deflection": 0.006966501279636226, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_1308", + "improvement_over_parent": null + }, + "node_1310": { + "node_id": "node_1310", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1309", + "improvement_over_parent": null + }, + "node_1311": { + "node_id": "node_1311", + "content": "INITIAL DESIGN (Trace 188)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, 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_1312": { + "node_id": "node_1312", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n\nPerformance:\n Mass: 108.23 kg\n Factor of Safety: 0.61\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 108.22810837045711, + "fos_buckling": 0.6075294941241602, + "fos_yielding": 2.8493603887411627, + "deflection": 0.016085509679453793, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003618)" + }, + "parent_node_id": "node_1311", + "improvement_over_parent": null + }, + "node_1313": { + "node_id": "node_1313", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n\nPerformance:\n Mass: 122.12 kg\n Factor of Safety: 0.92\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.12499523143404, + "fos_buckling": 0.920977394085324, + "fos_yielding": 2.5571093680135175, + "deflection": 0.01299057016907016, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.003781)" + }, + "parent_node_id": "node_1312", + "improvement_over_parent": null + }, + "node_1314": { + "node_id": "node_1314", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n\nPerformance:\n Mass: 157.07 kg\n Factor of Safety: 1.15\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": 157.0677702017937, + "fos_buckling": 1.1483509876088465, + "fos_yielding": 3.283614281670255, + "deflection": 0.010138285725248577, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_1313", + "improvement_over_parent": null + }, + "node_1315": { + "node_id": "node_1315", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 175.53 kg\n Factor of Safety: 1.26\n Max Deflection: 9.09e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.52965751912504, + "fos_buckling": 1.2621294175591125, + "fos_yielding": 3.6665110610864815, + "deflection": 0.009089744115937999, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_1314", + "improvement_over_parent": null + }, + "node_1316": { + "node_id": "node_1316", + "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 180.89 kg\n Factor of Safety: 1.26\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.89259327723366, + "fos_buckling": 1.2641634534636943, + "fos_yielding": 3.6645822945743776, + "deflection": 0.008723747795050172, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.342)" + }, + "parent_node_id": "node_1315", + "improvement_over_parent": null + }, + "node_1317": { + "node_id": "node_1317", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.69 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.68651792407405, + "fos_buckling": 1.5263126077627673, + "fos_yielding": 4.605246976802415, + "deflection": 0.006967423884570366, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_1316", + "improvement_over_parent": null + }, + "node_1318": { + "node_id": "node_1318", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1317", + "improvement_over_parent": null + }, + "node_1319": { + "node_id": "node_1319", + "content": "INITIAL DESIGN (Trace 189)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 168.93 kg\n Factor of Safety: 0.57\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": 168.93244651531205, + "fos_buckling": 0.5669650971620555, + "fos_yielding": 3.1876897568641582, + "deflection": 0.013545624080542575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1320": { + "node_id": "node_1320", + "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 169.61 kg\n Factor of Safety: 0.57\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": 169.60603112826868, + "fos_buckling": 0.5669650971620553, + "fos_yielding": 3.8449926650142405, + "deflection": 0.013354213207856548, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.224)" + }, + "parent_node_id": "node_1319", + "improvement_over_parent": null + }, + "node_1321": { + "node_id": "node_1321", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 188.18 kg\n Factor of Safety: 0.62\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": 188.17846893838967, + "fos_buckling": 0.616463680331829, + "fos_yielding": 4.2598838007931885, + "deflection": 0.012062932019755565, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_1320", + "improvement_over_parent": null + }, + "node_1322": { + "node_id": "node_1322", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 220.57 kg\n Factor of Safety: 1.38\n Max Deflection: 7.16e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.57208857850796, + "fos_buckling": 1.3789962952833321, + "fos_yielding": 4.657757518876651, + "deflection": 0.007157008472735383, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_1321", + "improvement_over_parent": null + }, + "node_1323": { + "node_id": "node_1323", + "content": "MODIFICATION: Increase 3 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.55 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5522758236107, + "fos_buckling": 1.525478054461825, + "fos_yielding": 4.602673479621936, + "deflection": 0.006971277680696585, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.522)" + }, + "parent_node_id": "node_1322", + "improvement_over_parent": null + }, + "node_1324": { + "node_id": "node_1324", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1323", + "improvement_over_parent": null + }, + "node_1325": { + "node_id": "node_1325", + "content": "INITIAL DESIGN (Trace 190)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0024)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0024)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0021)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0016)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0012)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0017)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0025)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0022)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0022)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0025)]\n\nPerformance:\n Mass: 66.72 kg\n Factor of Safety: 0.36\n Max Deflection: 2.67e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 66.71619598971728, + "fos_buckling": 0.36339083653016363, + "fos_yielding": 1.4964897617706272, + "deflection": 0.026720279480589644, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1326": { + "node_id": "node_1326", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0030)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0026)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0020)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0021)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0031)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0028)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n\nPerformance:\n Mass: 83.94 kg\n Factor of Safety: 0.45\n Max Deflection: 2.13e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 83.94021531160759, + "fos_buckling": 0.45005108989897247, + "fos_yielding": 1.8816541580203532, + "deflection": 0.021282045886093608, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_1325", + "improvement_over_parent": null + }, + "node_1327": { + "node_id": "node_1327", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n Mass: 104.21 kg\n Factor of Safety: 0.55\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 104.2110113232142, + "fos_buckling": 0.5483291498599643, + "fos_yielding": 2.3343316591323977, + "deflection": 0.01718461324381285, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_1326", + "improvement_over_parent": null + }, + "node_1328": { + "node_id": "node_1328", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n Mass: 131.72 kg\n Factor of Safety: 0.68\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.72196112564848, + "fos_buckling": 0.6753432419981992, + "fos_yielding": 2.94762457109695, + "deflection": 0.013640900625993352, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_1327", + "improvement_over_parent": null + }, + "node_1329": { + "node_id": "node_1329", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 163.74 kg\n Factor of Safety: 0.81\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.74179984870412, + "fos_buckling": 0.8140364178601502, + "fos_yielding": 3.6598882868713973, + "deflection": 0.011015920006307573, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_1328", + "improvement_over_parent": null + }, + "node_1330": { + "node_id": "node_1330", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.50 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.50367935220515, + "fos_buckling": 0.980345069611982, + "fos_yielding": 4.586370992364033, + "deflection": 0.008821470545612064, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_1329", + "improvement_over_parent": null + }, + "node_1331": { + "node_id": "node_1331", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.59 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.59482748086546, + "fos_buckling": 1.5257553884529653, + "fos_yielding": 4.603364432929431, + "deflection": 0.006970137488784472, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_1330", + "improvement_over_parent": null + }, + "node_1332": { + "node_id": "node_1332", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1331", + "improvement_over_parent": null + }, + "node_1333": { + "node_id": "node_1333", + "content": "INITIAL DESIGN (Trace 191)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 185.29 kg\n Factor of Safety: 1.20\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": 185.2861330848243, + "fos_buckling": 1.2015587690609961, + "fos_yielding": 3.870735994548537, + "deflection": 0.008882000027637544, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1334": { + "node_id": "node_1334", + "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 190.00 kg\n Factor of Safety: 1.35\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": 190.00108640998945, + "fos_buckling": 1.3532231741552225, + "fos_yielding": 3.927290103308503, + "deflection": 0.008433142653953262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.376)" + }, + "parent_node_id": "node_1333", + "improvement_over_parent": null + }, + "node_1335": { + "node_id": "node_1335", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 220.35 kg\n Factor of Safety: 1.53\n Max Deflection: 7.29e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 220.35045482237106, + "fos_buckling": 1.5256254622309169, + "fos_yielding": 4.548828509953842, + "deflection": 0.0072945003938349115, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_1334", + "improvement_over_parent": null + }, + "node_1336": { + "node_id": "node_1336", + "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.72 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.72195334148057, + "fos_buckling": 1.5264130704193866, + "fos_yielding": 4.60597965367801, + "deflection": 0.006966278402616359, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.387)" + }, + "parent_node_id": "node_1335", + "improvement_over_parent": null + }, + "node_1337": { + "node_id": "node_1337", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1336", + "improvement_over_parent": null + }, + "node_1338": { + "node_id": "node_1338", + "content": "INITIAL DESIGN (Trace 192)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1339": { + "node_id": "node_1339", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n\nPerformance:\n Mass: 160.26 kg\n Factor of Safety: 0.82\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": 160.26383622701442, + "fos_buckling": 0.8229026241538298, + "fos_yielding": 3.7430463973080577, + "deflection": 0.01109892760971658, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005694)" + }, + "parent_node_id": "node_1338", + "improvement_over_parent": null + }, + "node_1340": { + "node_id": "node_1340", + "content": "MODIFICATION: Increase 8 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0090)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n\nPerformance:\n Mass: 169.72 kg\n Factor of Safety: 0.82\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": 169.72101779381387, + "fos_buckling": 0.8218798815147081, + "fos_yielding": 3.7839688260624538, + "deflection": 0.0107059583138808, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.397)" + }, + "parent_node_id": "node_1339", + "improvement_over_parent": null + }, + "node_1341": { + "node_id": "node_1341", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0114)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 210.26 kg\n Factor of Safety: 0.98\n Max Deflection: 8.68e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.26343937896578, + "fos_buckling": 0.9800104036480506, + "fos_yielding": 4.685677905283999, + "deflection": 0.008678689694073965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_1340", + "improvement_over_parent": null + }, + "node_1342": { + "node_id": "node_1342", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0114)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 232.35 kg\n Factor of Safety: 1.53\n Max Deflection: 6.80e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 232.3545875076261, + "fos_buckling": 1.5330392052067057, + "fos_yielding": 4.702987790215875, + "deflection": 0.0068009710076452675, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_1341", + "improvement_over_parent": null + }, + "node_1343": { + "node_id": "node_1343", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1342", + "improvement_over_parent": null + }, + "node_1344": { + "node_id": "node_1344", + "content": "INITIAL DESIGN (Trace 193)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 188.72 kg\n Factor of Safety: 0.50\n Max Deflection: 3.60e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.7180766436641, + "fos_buckling": 0.49822040077005414, + "fos_yielding": 3.8534619259759797, + "deflection": 0.03604139928030997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1345": { + "node_id": "node_1345", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 221.50 kg\n Factor of Safety: 1.00\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": 221.4956713865496, + "fos_buckling": 0.9998513108245053, + "fos_yielding": 5.125722112150724, + "deflection": 0.010599441698180927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_1344", + "improvement_over_parent": null + }, + "node_1346": { + "node_id": "node_1346", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 223.88 kg\n Factor of Safety: 1.49\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": 223.88035369813574, + "fos_buckling": 1.4900115594441785, + "fos_yielding": 4.62822091284834, + "deflection": 0.007048986971435297, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_1345", + "improvement_over_parent": null + }, + "node_1347": { + "node_id": "node_1347", + "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0097)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 229.52 kg\n Factor of Safety: 1.53\n Max Deflection: 6.88e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 229.52032248454782, + "fos_buckling": 1.5306436357294382, + "fos_yielding": 4.657049683470356, + "deflection": 0.006876423331052259, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.193)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\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_1350": { + "node_id": "node_1350", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n\nPerformance:\n Mass: 172.68 kg\n Factor of Safety: 0.89\n Max Deflection: 9.90e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.67969323955043, + "fos_buckling": 0.8915643990133377, + "fos_yielding": 4.075401778376936, + "deflection": 0.009899603530608862, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003898)" + }, + "parent_node_id": "node_1349", + "improvement_over_parent": null + }, + "node_1351": { + "node_id": "node_1351", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n\nPerformance:\n Mass: 194.59 kg\n Factor of Safety: 0.98\n Max Deflection: 8.81e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.58520544744212, + "fos_buckling": 0.981699375436711, + "fos_yielding": 4.587243044451674, + "deflection": 0.008811137818115945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_1350", + "improvement_over_parent": null + }, + "node_1352": { + "node_id": "node_1352", + "content": "MODIFICATION: Increase 2 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0106)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n\nPerformance:\n Mass: 204.82 kg\n Factor of Safety: 0.98\n Max Deflection: 8.65e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.81785160807715, + "fos_buckling": 0.9803850549780592, + "fos_yielding": 4.539853899456026, + "deflection": 0.008653008657680967, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.550)" + }, + "parent_node_id": "node_1351", + "improvement_over_parent": null + }, + "node_1353": { + "node_id": "node_1353", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0106)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 230.43 kg\n Factor of Safety: 1.36\n Max Deflection: 7.02e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.43438051737175, + "fos_buckling": 1.3577178174849966, + "fos_yielding": 4.555066226593091, + "deflection": 0.007023727598994657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_1352", + "improvement_over_parent": null + }, + "node_1354": { + "node_id": "node_1354", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1353", + "improvement_over_parent": null + }, + "node_1355": { + "node_id": "node_1355", + "content": "INITIAL DESIGN (Trace 195)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n Mass: 163.21 kg\n Factor of Safety: 0.67\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.21350317029058, + "fos_buckling": 0.6735496542038233, + "fos_yielding": 4.3773473736456845, + "deflection": 0.012071804691170893, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1356": { + "node_id": "node_1356", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n Mass: 192.07 kg\n Factor of Safety: 0.78\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": 192.06821534758396, + "fos_buckling": 0.7773073298353639, + "fos_yielding": 5.1444469044675865, + "deflection": 0.010277503191051146, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_1355", + "improvement_over_parent": null + }, + "node_1357": { + "node_id": "node_1357", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 213.73 kg\n Factor of Safety: 1.33\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": 213.72751162443137, + "fos_buckling": 1.3253310395514137, + "fos_yielding": 4.509688633216769, + "deflection": 0.007517576547279646, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_1356", + "improvement_over_parent": null + }, + "node_1358": { + "node_id": "node_1358", + "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0095)]\n\nPerformance:\n Mass: 221.09 kg\n Factor of Safety: 1.38\n Max Deflection: 7.35e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.08912801415173, + "fos_buckling": 1.3843541991538402, + "fos_yielding": 4.473199026970749, + "deflection": 0.007353328128994818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.389)" + }, + "parent_node_id": "node_1357", + "improvement_over_parent": null + }, + "node_1359": { + "node_id": "node_1359", + "content": "MODIFICATION: Increase 1 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0095)]\n\nPerformance:\n Mass: 226.43 kg\n Factor of Safety: 1.32\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": 226.43308950848993, + "fos_buckling": 1.3238313382639812, + "fos_yielding": 4.50582824424932, + "deflection": 0.007179757729762346, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.256)" + }, + "parent_node_id": "node_1358", + "improvement_over_parent": null + }, + "node_1360": { + "node_id": "node_1360", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1359", + "improvement_over_parent": null + }, + "node_1361": { + "node_id": "node_1361", + "content": "INITIAL DESIGN (Trace 196)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n Mass: 161.39 kg\n Factor of Safety: 0.43\n Max Deflection: 4.22e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.39402657663499, + "fos_buckling": 0.43064777715537284, + "fos_yielding": 3.235012836165671, + "deflection": 0.04215264497550638, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1362": { + "node_id": "node_1362", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 188.88 kg\n Factor of Safety: 0.86\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": 188.87901796956032, + "fos_buckling": 0.8647255489802619, + "fos_yielding": 4.302192446215254, + "deflection": 0.0126109191365066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006719)" + }, + "parent_node_id": "node_1361", + "improvement_over_parent": null + }, + "node_1363": { + "node_id": "node_1363", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 225.34 kg\n Factor of Safety: 1.00\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": 225.3364373358034, + "fos_buckling": 1.0000310060783542, + "fos_yielding": 5.125007147125449, + "deflection": 0.01059531248433418, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_1362", + "improvement_over_parent": null + }, + "node_1364": { + "node_id": "node_1364", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.72 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.72111964738954, + "fos_buckling": 1.526428024764554, + "fos_yielding": 4.606045195376854, + "deflection": 0.006966403437613588, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_1363", + "improvement_over_parent": null + }, + "node_1365": { + "node_id": "node_1365", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1364", + "improvement_over_parent": null + }, + "node_1366": { + "node_id": "node_1366", + "content": "INITIAL DESIGN (Trace 197)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 159.53 kg\n Factor of Safety: 0.82\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": 159.53324239391395, + "fos_buckling": 0.8210904653982781, + "fos_yielding": 2.3029939006638522, + "deflection": 0.01107340448344627, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1367": { + "node_id": "node_1367", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 203.89 kg\n Factor of Safety: 1.00\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": 203.88663212360868, + "fos_buckling": 1.0039137364815742, + "fos_yielding": 2.9701460731083458, + "deflection": 0.008712769534946155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_1366", + "improvement_over_parent": null + }, + "node_1368": { + "node_id": "node_1368", + "content": "MODIFICATION: Increase 5 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.02 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.01688701769766, + "fos_buckling": 1.0039137364815742, + "fos_yielding": 4.125910694356805, + "deflection": 0.008712769534946155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.418)" + }, + "parent_node_id": "node_1367", + "improvement_over_parent": null + }, + "node_1369": { + "node_id": "node_1369", + "content": "MODIFICATION: Increase 5 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 206.01 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.0125611238728, + "fos_buckling": 1.0039137364815742, + "fos_yielding": 5.143867827529347, + "deflection": 0.008712769534946155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.271)" + }, + "parent_node_id": "node_1368", + "improvement_over_parent": null + }, + "node_1370": { + "node_id": "node_1370", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.67 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.67185740072023, + "fos_buckling": 1.5261531370051298, + "fos_yielding": 4.604331217261419, + "deflection": 0.006967760918050193, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_1369", + "improvement_over_parent": null + }, + "node_1371": { + "node_id": "node_1371", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1370", + "improvement_over_parent": null + }, + "node_1372": { + "node_id": "node_1372", + "content": "INITIAL DESIGN (Trace 198)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0033)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 171.73 kg\n Factor of Safety: 0.82\n Max Deflection: 9.62e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.72716826403436, + "fos_buckling": 0.8222797593311663, + "fos_yielding": 3.877278511370186, + "deflection": 0.009618579887905824, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1373": { + "node_id": "node_1373", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 204.64 kg\n Factor of Safety: 0.97\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": 204.63517456387504, + "fos_buckling": 0.9676286450801873, + "fos_yielding": 4.609637839226013, + "deflection": 0.008092254627806833, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_1372", + "improvement_over_parent": null + }, + "node_1374": { + "node_id": "node_1374", + "content": "MODIFICATION: Increase 7 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 213.84 kg\n Factor of Safety: 1.26\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": 213.83547373015733, + "fos_buckling": 1.263198233033675, + "fos_yielding": 4.605226681139103, + "deflection": 0.007431451405601546, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.585)" + }, + "parent_node_id": "node_1373", + "improvement_over_parent": null + }, + "node_1375": { + "node_id": "node_1375", + "content": "MODIFICATION: Increase 7 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 220.16 kg\n Factor of Safety: 1.45\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": 220.15545594867424, + "fos_buckling": 1.4462384166288917, + "fos_yielding": 4.603190308256241, + "deflection": 0.007154101928818884, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.266)" + }, + "parent_node_id": "node_1374", + "improvement_over_parent": null + }, + "node_1376": { + "node_id": "node_1376", + "content": "MODIFICATION: Increase 8 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.637465286327, + "fos_buckling": 1.5260633703778528, + "fos_yielding": 4.604464739268823, + "deflection": 0.006968589530338637, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.453)" + }, + "parent_node_id": "node_1375", + "improvement_over_parent": null + }, + "node_1377": { + "node_id": "node_1377", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1376", + "improvement_over_parent": null + }, + "node_1378": { + "node_id": "node_1378", + "content": "INITIAL DESIGN (Trace 199)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 117.62 kg\n Factor of Safety: 0.47\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.61726067651112, + "fos_buckling": 0.47194705796920866, + "fos_yielding": 3.091366743588585, + "deflection": 0.019395642780723973, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1379": { + "node_id": "node_1379", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 135.27 kg\n Factor of Safety: 0.53\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.26633466308812, + "fos_buckling": 0.5312052131208111, + "fos_yielding": 3.54893253804071, + "deflection": 0.016900447725434243, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_1378", + "improvement_over_parent": null + }, + "node_1380": { + "node_id": "node_1380", + "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 139.60 kg\n Factor of Safety: 0.53\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.59889791718226, + "fos_buckling": 0.5309015326683433, + "fos_yielding": 3.5482900892499014, + "deflection": 0.01622116779909652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.244)" + }, + "parent_node_id": "node_1379", + "improvement_over_parent": null + }, + "node_1381": { + "node_id": "node_1381", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n\nPerformance:\n Mass: 166.51 kg\n Factor of Safety: 0.86\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.5116924581001, + "fos_buckling": 0.8631376975066817, + "fos_yielding": 4.271971773386716, + "deflection": 0.010702469069057915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006613)" + }, + "parent_node_id": "node_1380", + "improvement_over_parent": null + }, + "node_1382": { + "node_id": "node_1382", + "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n\nPerformance:\n Mass: 170.63 kg\n Factor of Safety: 0.86\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.63179736905602, + "fos_buckling": 0.8626703679578335, + "fos_yielding": 4.271971773386719, + "deflection": 0.010470428884166109, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.233)" + }, + "parent_node_id": "node_1381", + "improvement_over_parent": null + }, + "node_1383": { + "node_id": "node_1383", + "content": "MODIFICATION: Increase 4 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n\nPerformance:\n Mass: 171.00 kg\n Factor of Safety: 0.86\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.00223924207026, + "fos_buckling": 0.8625863856995081, + "fos_yielding": 4.271971773386717, + "deflection": 0.010451994082116814, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.248)" + }, + "parent_node_id": "node_1382", + "improvement_over_parent": null + }, + "node_1384": { + "node_id": "node_1384", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 205.88 kg\n Factor of Safety: 1.00\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.8832098356279, + "fos_buckling": 1.0033266011190263, + "fos_yielding": 5.141081698387379, + "deflection": 0.00871788521985527, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_1383", + "improvement_over_parent": null + }, + "node_1385": { + "node_id": "node_1385", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.54 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.54250611247534, + "fos_buckling": 1.525354155571075, + "fos_yielding": 4.601788573059658, + "deflection": 0.006971667202533079, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_1384", + "improvement_over_parent": null + }, + "node_1386": { + "node_id": "node_1386", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1385", + "improvement_over_parent": null + }, + "node_1387": { + "node_id": "node_1387", + "content": "INITIAL DESIGN (Trace 200)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0036)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0032)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0037)]\n\nPerformance:\n Mass: 96.96 kg\n Factor of Safety: 0.51\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 96.95658072087775, + "fos_buckling": 0.5136171295199035, + "fos_yielding": 2.1724060901446673, + "deflection": 0.018454126200859438, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1388": { + "node_id": "node_1388", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n Mass: 118.46 kg\n Factor of Safety: 0.62\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.46417414280126, + "fos_buckling": 0.6150450547191274, + "fos_yielding": 2.6522262723637855, + "deflection": 0.015143179384859767, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_1387", + "improvement_over_parent": null + }, + "node_1389": { + "node_id": "node_1389", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n Mass: 137.46 kg\n Factor of Safety: 0.70\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": 137.46286906971577, + "fos_buckling": 0.7009300025921033, + "fos_yielding": 3.075450000735034, + "deflection": 0.013080289516352166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_1388", + "improvement_over_parent": null + }, + "node_1390": { + "node_id": "node_1390", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 161.17 kg\n Factor of Safety: 0.80\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.173162387059, + "fos_buckling": 0.8032704497926053, + "fos_yielding": 3.602811524665316, + "deflection": 0.011188017772802738, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 183.30 kg\n Factor of Safety: 0.89\n Max Deflection: 9.86e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.30142120490692, + "fos_buckling": 0.8939705682994725, + "fos_yielding": 4.09416624276312, + "deflection": 0.00986363539944183, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_1390", + "improvement_over_parent": null + }, + "node_1392": { + "node_id": "node_1392", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n\nPerformance:\n Mass: 203.02 kg\n Factor of Safety: 1.39\n Max Deflection: 7.79e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.01736987463877, + "fos_buckling": 1.391224383698505, + "fos_yielding": 4.109445710818653, + "deflection": 0.007792539627824904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006081)" + }, + "parent_node_id": "node_1391", + "improvement_over_parent": null + }, + "node_1393": { + "node_id": "node_1393", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.59 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.59045296492454, + "fos_buckling": 1.5256578435281025, + "fos_yielding": 4.603024403208681, + "deflection": 0.006970386913772797, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_1392", + "improvement_over_parent": null + }, + "node_1394": { + "node_id": "node_1394", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1393", + "improvement_over_parent": null + }, + "node_1395": { + "node_id": "node_1395", + "content": "INITIAL DESIGN (Trace 201)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 139.60 kg\n Factor of Safety: 0.54\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.60302200155468, + "fos_buckling": 0.538632804582, + "fos_yielding": 3.608807620219634, + "deflection": 0.016382130984933387, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1396": { + "node_id": "node_1396", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n\nPerformance:\n Mass: 166.96 kg\n Factor of Safety: 0.76\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": 166.9565574607979, + "fos_buckling": 0.764028659992059, + "fos_yielding": 4.346097359846928, + "deflection": 0.010834453316053918, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006730)" + }, + "parent_node_id": "node_1395", + "improvement_over_parent": null + }, + "node_1397": { + "node_id": "node_1397", + "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0080)]\n\nPerformance:\n Mass: 171.57 kg\n Factor of Safety: 0.76\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": 171.5704162499074, + "fos_buckling": 0.7635654906137459, + "fos_yielding": 4.346097359846928, + "deflection": 0.01065917903433273, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.185)" + }, + "parent_node_id": "node_1396", + "improvement_over_parent": null + }, + "node_1398": { + "node_id": "node_1398", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0096)]\n\nPerformance:\n Mass: 203.08 kg\n Factor of Safety: 0.88\n Max Deflection: 9.03e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.0798149089765, + "fos_buckling": 0.8817860772132711, + "fos_yielding": 5.143566660019565, + "deflection": 0.009032632568823303, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "parent_node_id": "node_1397", + "improvement_over_parent": null + }, + "node_1399": { + "node_id": "node_1399", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0096)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 228.20 kg\n Factor of Safety: 1.39\n Max Deflection: 6.99e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.19910988647743, + "fos_buckling": 1.3899635177048622, + "fos_yielding": 4.570239630150075, + "deflection": 0.006992564980091222, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_1398", + "improvement_over_parent": null + }, + "node_1400": { + "node_id": "node_1400", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1399", + "improvement_over_parent": null + }, + "node_1401": { + "node_id": "node_1401", + "content": "INITIAL DESIGN (Trace 202)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0019)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 131.21 kg\n Factor of Safety: 0.69\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.21217970707661, + "fos_buckling": 0.6928026040604597, + "fos_yielding": 2.1198130651903955, + "deflection": 0.013719019179754776, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1402": { + "node_id": "node_1402", + "content": "MODIFICATION: Increase 3 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 131.61 kg\n Factor of Safety: 0.69\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.60860271260177, + "fos_buckling": 0.6928026040604598, + "fos_yielding": 2.594054964637389, + "deflection": 0.01358831792055944, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.241)" + }, + "parent_node_id": "node_1401", + "improvement_over_parent": null + }, + "node_1403": { + "node_id": "node_1403", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n\nPerformance:\n Mass: 145.52 kg\n Factor of Safety: 0.89\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.5224975469244, + "fos_buckling": 0.88669350317187, + "fos_yielding": 2.606653296831603, + "deflection": 0.010886636982362185, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004234)" + }, + "parent_node_id": "node_1402", + "improvement_over_parent": null + }, + "node_1404": { + "node_id": "node_1404", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n\nPerformance:\n Mass: 186.09 kg\n Factor of Safety: 1.11\n Max Deflection: 8.55e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.0942363280536, + "fos_buckling": 1.1109616804784943, + "fos_yielding": 3.3415699561205665, + "deflection": 0.008550786913719244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_1403", + "improvement_over_parent": null + }, + "node_1405": { + "node_id": "node_1405", + "content": "MODIFICATION: Increase 4 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0041)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n\nPerformance:\n Mass: 186.71 kg\n Factor of Safety: 1.11\n Max Deflection: 8.48e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.7148015910922, + "fos_buckling": 1.108316651631776, + "fos_yielding": 3.3336141921346667, + "deflection": 0.008475428872244324, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.351)" + }, + "parent_node_id": "node_1404", + "improvement_over_parent": null + }, + "node_1406": { + "node_id": "node_1406", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.18 kg\n Factor of Safety: 1.32\n Max Deflection: 7.00e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.1796609890787, + "fos_buckling": 1.320924606328596, + "fos_yielding": 4.0677557311635875, + "deflection": 0.006997414416429526, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_1405", + "improvement_over_parent": null + }, + "node_1407": { + "node_id": "node_1407", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1406", + "improvement_over_parent": null + }, + "node_1408": { + "node_id": "node_1408", + "content": "INITIAL DESIGN (Trace 203)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\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_1409": { + "node_id": "node_1409", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n\nPerformance:\n Mass: 126.14 kg\n Factor of Safety: 0.76\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.14225692670928, + "fos_buckling": 0.7573075589829535, + "fos_yielding": 3.7528832765462137, + "deflection": 0.014580388637014694, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004842)" + }, + "parent_node_id": "node_1408", + "improvement_over_parent": null + }, + "node_1410": { + "node_id": "node_1410", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n\nPerformance:\n Mass: 143.84 kg\n Factor of Safety: 0.85\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": 143.83861464262122, + "fos_buckling": 0.8463270527844599, + "fos_yielding": 4.277517482071089, + "deflection": 0.012819578631711624, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_1409", + "improvement_over_parent": null + }, + "node_1411": { + "node_id": "node_1411", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n\nPerformance:\n Mass: 161.62 kg\n Factor of Safety: 0.84\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.6221723770372, + "fos_buckling": 0.8443469604016112, + "fos_yielding": 3.837410325822619, + "deflection": 0.010663841341737531, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004906)" + }, + "parent_node_id": "node_1410", + "improvement_over_parent": null + }, + "node_1412": { + "node_id": "node_1412", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 194.71 kg\n Factor of Safety: 0.98\n Max Deflection: 8.89e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.70503516141827, + "fos_buckling": 0.9822850998950429, + "fos_yielding": 4.614313338862332, + "deflection": 0.008891299217196951, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_1411", + "improvement_over_parent": null + }, + "node_1413": { + "node_id": "node_1413", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 220.32 kg\n Factor of Safety: 1.49\n Max Deflection: 7.13e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.32156407071287, + "fos_buckling": 1.4900001746372769, + "fos_yielding": 4.629257664073757, + "deflection": 0.007131996523071239, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_1412", + "improvement_over_parent": null + }, + "node_1414": { + "node_id": "node_1414", + "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 223.96 kg\n Factor of Safety: 1.49\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.95730497643268, + "fos_buckling": 1.488143235681926, + "fos_yielding": 4.606006986612702, + "deflection": 0.007054530228048428, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.186)" + }, + "parent_node_id": "node_1413", + "improvement_over_parent": null + }, + "node_1415": { + "node_id": "node_1415", + "content": "MODIFICATION: Increase 2 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.70 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.70032856262503, + "fos_buckling": 1.5263671449345324, + "fos_yielding": 4.60665037393109, + "deflection": 0.006966464419090016, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.224)" + }, + "parent_node_id": "node_1414", + "improvement_over_parent": null + }, + "node_1416": { + "node_id": "node_1416", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1415", + "improvement_over_parent": null + }, + "node_1417": { + "node_id": "node_1417", + "content": "INITIAL DESIGN (Trace 204)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0036)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n Mass: 154.92 kg\n Factor of Safety: 0.54\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.924224373937, + "fos_buckling": 0.5439868268455472, + "fos_yielding": 3.799123828146311, + "deflection": 0.016540512701260883, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1418": { + "node_id": "node_1418", + "content": "MODIFICATION: Increase 6 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n Mass: 163.40 kg\n Factor of Safety: 0.76\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.39517249290972, + "fos_buckling": 0.7643762463143143, + "fos_yielding": 3.7252626281934176, + "deflection": 0.014553110021551094, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.600)" + }, + "parent_node_id": "node_1417", + "improvement_over_parent": null + }, + "node_1419": { + "node_id": "node_1419", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 183.29 kg\n Factor of Safety: 0.84\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.28535097000247, + "fos_buckling": 0.8433255656499287, + "fos_yielding": 4.175365406753502, + "deflection": 0.012990395142274874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_1418", + "improvement_over_parent": null + }, + "node_1420": { + "node_id": "node_1420", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n Mass: 185.23 kg\n Factor of Safety: 1.29\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": 185.22504248255402, + "fos_buckling": 1.2894151462247048, + "fos_yielding": 3.751615952381955, + "deflection": 0.008523798696613412, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003025)" + }, + "parent_node_id": "node_1419", + "improvement_over_parent": null + }, + "node_1421": { + "node_id": "node_1421", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.73 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.7324764792627, + "fos_buckling": 1.5264257175219174, + "fos_yielding": 4.605949246829995, + "deflection": 0.0069660042498909565, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_1420", + "improvement_over_parent": null + }, + "node_1422": { + "node_id": "node_1422", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1421", + "improvement_over_parent": null + }, + "node_1423": { + "node_id": "node_1423", + "content": "INITIAL DESIGN (Trace 205)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n Mass: 125.25 kg\n Factor of Safety: 0.66\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": 125.25074210856452, + "fos_buckling": 0.6602494273842047, + "fos_yielding": 3.1311646176810912, + "deflection": 0.014191253914557587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1424": { + "node_id": "node_1424", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n Mass: 149.45 kg\n Factor of Safety: 0.77\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": 149.4547114127283, + "fos_buckling": 0.7698670009812526, + "fos_yielding": 3.7350857820312475, + "deflection": 0.011928059325864826, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_1423", + "improvement_over_parent": null + }, + "node_1425": { + "node_id": "node_1425", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 168.06 kg\n Factor of Safety: 0.85\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": 168.0603330763076, + "fos_buckling": 0.8502574865318354, + "fos_yielding": 4.199066318282987, + "deflection": 0.010631493483940916, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_1424", + "improvement_over_parent": null + }, + "node_1426": { + "node_id": "node_1426", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.87 kg\n Factor of Safety: 1.00\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.86647284276745, + "fos_buckling": 1.0033449815578657, + "fos_yielding": 5.141182170393205, + "deflection": 0.00871883816515229, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_1425", + "improvement_over_parent": null + }, + "node_1427": { + "node_id": "node_1427", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.53 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5257691196149, + "fos_buckling": 1.5254569992921323, + "fos_yielding": 4.601835142896987, + "deflection": 0.006972242992116128, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_1426", + "improvement_over_parent": null + }, + "node_1428": { + "node_id": "node_1428", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1427", + "improvement_over_parent": null + }, + "node_1429": { + "node_id": "node_1429", + "content": "INITIAL DESIGN (Trace 206)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 158.99 kg\n Factor of Safety: 0.90\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": 158.99479467525023, + "fos_buckling": 0.8973855912693653, + "fos_yielding": 3.777563968813363, + "deflection": 0.011979460255439929, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1430": { + "node_id": "node_1430", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n Mass: 181.41 kg\n Factor of Safety: 0.89\n Max Deflection: 9.90e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.41349570724236, + "fos_buckling": 0.8947457062558558, + "fos_yielding": 3.777563968813364, + "deflection": 0.009895114111797483, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006293)" + }, + "parent_node_id": "node_1429", + "improvement_over_parent": null + }, + "node_1431": { + "node_id": "node_1431", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 203.39 kg\n Factor of Safety: 0.98\n Max Deflection: 8.85e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.38763437407465, + "fos_buckling": 0.9811304655439672, + "fos_yielding": 4.249431343360339, + "deflection": 0.008849469516713709, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_1430", + "improvement_over_parent": null + }, + "node_1432": { + "node_id": "node_1432", + "content": "MODIFICATION: Increase 3 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.80 kg\n Factor of Safety: 0.98\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": 204.79877366760348, + "fos_buckling": 0.9811304655439672, + "fos_yielding": 4.599106199367461, + "deflection": 0.008849469516713709, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.522)" + }, + "parent_node_id": "node_1431", + "improvement_over_parent": null + }, + "node_1433": { + "node_id": "node_1433", + "content": "MODIFICATION: Increase 4 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 205.65 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.65406084543554, + "fos_buckling": 0.9809109039029132, + "fos_yielding": 4.589685472531179, + "deflection": 0.008815237657069746, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.613)" + }, + "parent_node_id": "node_1432", + "improvement_over_parent": null + }, + "node_1434": { + "node_id": "node_1434", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.75 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.74520897409585, + "fos_buckling": 1.52662189645736, + "fos_yielding": 4.606696970463759, + "deflection": 0.00696554618818143, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_1433", + "improvement_over_parent": null + }, + "node_1435": { + "node_id": "node_1435", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1434", + "improvement_over_parent": null + }, + "node_1436": { + "node_id": "node_1436", + "content": "INITIAL DESIGN (Trace 207)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 143.14 kg\n Factor of Safety: 0.86\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": 143.138361940521, + "fos_buckling": 0.857899149455814, + "fos_yielding": 3.2251694460034988, + "deflection": 0.011028628543231552, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1437": { + "node_id": "node_1437", + "content": "MODIFICATION: Increase 7 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 149.32 kg\n Factor of Safety: 0.99\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.31931244731405, + "fos_buckling": 0.9934258894825009, + "fos_yielding": 3.2233025316266364, + "deflection": 0.010417760739514545, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.403)" + }, + "parent_node_id": "node_1436", + "improvement_over_parent": null + }, + "node_1438": { + "node_id": "node_1438", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 179.89 kg\n Factor of Safety: 1.17\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": 179.89437171998318, + "fos_buckling": 1.1748520959304978, + "fos_yielding": 3.8768065295899414, + "deflection": 0.008677661939585584, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_1437", + "improvement_over_parent": null + }, + "node_1439": { + "node_id": "node_1439", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 215.60 kg\n Factor of Safety: 1.38\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": 215.5994500959572, + "fos_buckling": 1.3773832798609884, + "fos_yielding": 4.636946963376229, + "deflection": 0.0072703305790254615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_1438", + "improvement_over_parent": null + }, + "node_1440": { + "node_id": "node_1440", + "content": "MODIFICATION: Increase 9 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 220.70 kg\n Factor of Safety: 1.38\n Max Deflection: 7.16e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.70007414415142, + "fos_buckling": 1.3794923079920063, + "fos_yielding": 4.602729951605331, + "deflection": 0.007155689250607802, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.280)" + }, + "parent_node_id": "node_1439", + "improvement_over_parent": null + }, + "node_1441": { + "node_id": "node_1441", + "content": "MODIFICATION: Increase 2 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6051131414717, + "fos_buckling": 1.525778708019799, + "fos_yielding": 4.604152037532773, + "deflection": 0.006969477487060479, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.499)" + }, + "parent_node_id": "node_1440", + "improvement_over_parent": null + }, + "node_1442": { + "node_id": "node_1442", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1441", + "improvement_over_parent": null + }, + "node_1443": { + "node_id": "node_1443", + "content": "INITIAL DESIGN (Trace 208)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, 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_1444": { + "node_id": "node_1444", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n\nPerformance:\n Mass: 116.72 kg\n Factor of Safety: 0.16\n Max Deflection: 6.49e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.72405973005611, + "fos_buckling": 0.1635253559274406, + "fos_yielding": 0.9137188351054761, + "deflection": 64939299565426.58, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004618)" + }, + "parent_node_id": "node_1443", + "improvement_over_parent": null + }, + "node_1445": { + "node_id": "node_1445", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n Mass: 134.23 kg\n Factor of Safety: 0.44\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.2349916660465, + "fos_buckling": 0.4388023575226773, + "fos_yielding": 2.2242217393070676, + "deflection": 0.017684732055398174, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004826)" + }, + "parent_node_id": "node_1444", + "improvement_over_parent": null + }, + "node_1446": { + "node_id": "node_1446", + "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0039)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n Mass: 135.02 kg\n Factor of Safety: 0.44\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.02095303374267, + "fos_buckling": 0.4387113326827449, + "fos_yielding": 2.224106977855355, + "deflection": 0.01728757507804533, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.520)" + }, + "parent_node_id": "node_1445", + "improvement_over_parent": null + }, + "node_1447": { + "node_id": "node_1447", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0039)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 157.87 kg\n Factor of Safety: 0.86\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": 157.8716424262722, + "fos_buckling": 0.8614635170301241, + "fos_yielding": 2.5264121072263293, + "deflection": 0.0100811621641817, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005513)" + }, + "parent_node_id": "node_1446", + "improvement_over_parent": null + }, + "node_1448": { + "node_id": "node_1448", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0046)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 185.15 kg\n Factor of Safety: 1.00\n Max Deflection: 8.62e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.15108797764572, + "fos_buckling": 0.9991993432138891, + "fos_yielding": 2.9709394227821533, + "deflection": 0.00862101335485367, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_1447", + "improvement_over_parent": null + }, + "node_1449": { + "node_id": "node_1449", + "content": "MODIFICATION: Increase 6 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0046)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0080)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 190.56 kg\n Factor of Safety: 1.01\n Max Deflection: 8.39e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.56330504591017, + "fos_buckling": 1.0093318693582938, + "fos_yielding": 3.001066665738456, + "deflection": 0.00838985225447048, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.224)" + }, + "parent_node_id": "node_1448", + "improvement_over_parent": null + }, + "node_1450": { + "node_id": "node_1450", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0058)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0099)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 232.74 kg\n Factor of Safety: 1.21\n Max Deflection: 6.90e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.73859730677705, + "fos_buckling": 1.2125801433856216, + "fos_yielding": 3.683240709453332, + "deflection": 0.006899766521951121, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_1449", + "improvement_over_parent": null + }, + "node_1451": { + "node_id": "node_1451", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1450", + "improvement_over_parent": null + }, + "node_1452": { + "node_id": "node_1452", + "content": "INITIAL DESIGN (Trace 209)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 147.90 kg\n Factor of Safety: 0.84\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": 147.89581889932862, + "fos_buckling": 0.837515821428594, + "fos_yielding": 4.228093791921079, + "deflection": 0.01298645262243301, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1453": { + "node_id": "node_1453", + "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 148.20 kg\n Factor of Safety: 0.84\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.1973206089185, + "fos_buckling": 0.8374492626568196, + "fos_yielding": 4.228093791921079, + "deflection": 0.012983670382384621, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.196)" + }, + "parent_node_id": "node_1452", + "improvement_over_parent": null + }, + "node_1454": { + "node_id": "node_1454", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 168.83 kg\n Factor of Safety: 0.84\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": 168.8286650264997, + "fos_buckling": 0.8351783560980557, + "fos_yielding": 3.7729290058210796, + "deflection": 0.010690523098238095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005752)" + }, + "parent_node_id": "node_1453", + "improvement_over_parent": null + }, + "node_1455": { + "node_id": "node_1455", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 205.57 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.57309618985977, + "fos_buckling": 0.9806142232661301, + "fos_yielding": 4.587954556379177, + "deflection": 0.008818537815530473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_1454", + "improvement_over_parent": null + }, + "node_1456": { + "node_id": "node_1456", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.66 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.66424431852008, + "fos_buckling": 1.5261454047213128, + "fos_yielding": 4.60496141988318, + "deflection": 0.006968093496075805, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 210)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0042)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n Mass: 122.54 kg\n Factor of Safety: 0.60\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.54293389527666, + "fos_buckling": 0.5963408986226366, + "fos_yielding": 2.4023392495262064, + "deflection": 0.019291775486816574, + "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: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 148.81 kg\n Factor of Safety: 0.71\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.80907502137805, + "fos_buckling": 0.7088610034951528, + "fos_yielding": 2.9188082075506863, + "deflection": 0.01591408131501278, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1458", + "improvement_over_parent": null + }, + "node_1460": { + "node_id": "node_1460", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 188.83 kg\n Factor of Safety: 0.87\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": 188.82719029149482, + "fos_buckling": 0.8700366054785637, + "fos_yielding": 3.707232329496406, + "deflection": 0.012574438914925136, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_1459", + "improvement_over_parent": null + }, + "node_1461": { + "node_id": "node_1461", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 224.60 kg\n Factor of Safety: 1.00\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": 224.59758778563173, + "fos_buckling": 1.0036926044581689, + "fos_yielding": 4.413902255335086, + "deflection": 0.01059663058335583, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 226.98 kg\n Factor of Safety: 1.46\n Max Deflection: 7.02e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.98227009721788, + "fos_buckling": 1.4575331035601433, + "fos_yielding": 3.9724431317221813, + "deflection": 0.00701703730406324, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_1461", + "improvement_over_parent": null + }, + "node_1463": { + "node_id": "node_1463", + "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0095)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 232.16 kg\n Factor of Safety: 1.46\n Max Deflection: 6.87e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.1604295213056, + "fos_buckling": 1.4570912862591574, + "fos_yielding": 3.9712389778690094, + "deflection": 0.0068674291392611135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.179)" + }, + "parent_node_id": "node_1462", + "improvement_over_parent": null + }, + "node_1464": { + "node_id": "node_1464", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1463", + "improvement_over_parent": null + }, + "node_1465": { + "node_id": "node_1465", + "content": "INITIAL DESIGN (Trace 211)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0023)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0031)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0027)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0027)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0020)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0022)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0019)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0028)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0032)]\n\nPerformance:\n Mass: 85.53 kg\n Factor of Safety: 0.32\n Max Deflection: 3.06e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 85.52568536375335, + "fos_buckling": 0.322858351128979, + "fos_yielding": 2.1954682444584512, + "deflection": 0.030643193049656653, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0023)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0031)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0027)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0027)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0020)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0022)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0019)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0028)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0032)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n\nPerformance:\n Mass: 86.51 kg\n Factor of Safety: 0.54\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 86.5124655055564, + "fos_buckling": 0.5383240902890528, + "fos_yielding": 1.9161207759007806, + "deflection": 0.018470091771325067, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.001485)" + }, + "parent_node_id": "node_1465", + "improvement_over_parent": null + }, + "node_1467": { + "node_id": "node_1467", + "content": "MODIFICATION: Increase 0 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0031)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0027)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0027)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0020)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0022)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0019)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0028)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0032)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n\nPerformance:\n Mass: 89.10 kg\n Factor of Safety: 0.51\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 89.10357427765211, + "fos_buckling": 0.5122144560726446, + "fos_yielding": 1.9154477828517222, + "deflection": 0.01797101853509849, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.299)" + }, + "parent_node_id": "node_1466", + "improvement_over_parent": null + }, + "node_1468": { + "node_id": "node_1468", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0026)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n\nPerformance:\n Mass: 116.65 kg\n Factor of Safety: 0.66\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.64530683467557, + "fos_buckling": 0.6615701709296123, + "fos_yielding": 2.5040575975786363, + "deflection": 0.013765529734352348, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_1467", + "improvement_over_parent": null + }, + "node_1469": { + "node_id": "node_1469", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0031)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n\nPerformance:\n Mass: 138.76 kg\n Factor of Safety: 0.78\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.756662354265, + "fos_buckling": 0.7784236100123365, + "fos_yielding": 2.97539917811963, + "deflection": 0.01159729126024596, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_1468", + "improvement_over_parent": null + }, + "node_1470": { + "node_id": "node_1470", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n Mass: 172.57 kg\n Factor of Safety: 0.95\n Max Deflection: 9.36e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.56751583162247, + "fos_buckling": 0.9518536591580894, + "fos_yielding": 3.6940057201918273, + "deflection": 0.009356031515428758, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_1469", + "improvement_over_parent": null + }, + "node_1471": { + "node_id": "node_1471", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 215.80 kg\n Factor of Safety: 1.16\n Max Deflection: 7.51e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.79552077134622, + "fos_buckling": 1.1643431601489382, + "fos_yielding": 4.60890883876401, + "deflection": 0.0075132227930614776, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_1470", + "improvement_over_parent": null + }, + "node_1472": { + "node_id": "node_1472", + "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0117)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 229.56 kg\n Factor of Safety: 1.25\n Max Deflection: 7.25e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.5629460449503, + "fos_buckling": 1.2513104293397517, + "fos_yielding": 4.609849300243454, + "deflection": 0.007248661106607542, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.631)" + }, + "parent_node_id": "node_1471", + "improvement_over_parent": null + }, + "node_1473": { + "node_id": "node_1473", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1472", + "improvement_over_parent": null + }, + "node_1474": { + "node_id": "node_1474", + "content": "INITIAL DESIGN (Trace 212)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n\nPerformance:\n Mass: 130.77 kg\n Factor of Safety: 0.42\n Max Deflection: 2.03e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.7710901870525, + "fos_buckling": 0.4171009003336323, + "fos_yielding": 2.5357395120467365, + "deflection": 0.020309158626012794, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1475": { + "node_id": "node_1475", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n\nPerformance:\n Mass: 149.70 kg\n Factor of Safety: 0.42\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.7049472891748, + "fos_buckling": 0.4160604120674287, + "fos_yielding": 2.533733699170629, + "deflection": 0.01654865023965407, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005887)" + }, + "parent_node_id": "node_1474", + "improvement_over_parent": null + }, + "node_1476": { + "node_id": "node_1476", + "content": "MODIFICATION: Increase 9 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0095)]\n\nPerformance:\n Mass: 159.86 kg\n Factor of Safety: 0.42\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.8599672850695, + "fos_buckling": 0.4155044905690138, + "fos_yielding": 2.5326592046139176, + "deflection": 0.016267427739806984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.613)" + }, + "parent_node_id": "node_1475", + "improvement_over_parent": null + }, + "node_1477": { + "node_id": "node_1477", + "content": "MODIFICATION: Increase 2 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0095)]\n\nPerformance:\n Mass: 165.26 kg\n Factor of Safety: 0.55\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.2573773313618, + "fos_buckling": 0.5525809615127134, + "fos_yielding": 2.5309478014707207, + "deflection": 0.014840105151009782, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.420)" + }, + "parent_node_id": "node_1476", + "improvement_over_parent": null + }, + "node_1478": { + "node_id": "node_1478", + "content": "MODIFICATION: Increase 9 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0122)]\n\nPerformance:\n Mass: 172.26 kg\n Factor of Safety: 0.55\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.26439257064862, + "fos_buckling": 0.5520723373042494, + "fos_yielding": 2.530207926771252, + "deflection": 0.01473116191793109, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.290)" + }, + "parent_node_id": "node_1477", + "improvement_over_parent": null + }, + "node_1479": { + "node_id": "node_1479", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0122)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n Mass: 200.58 kg\n Factor of Safety: 0.99\n Max Deflection: 8.67e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.5817285942463, + "fos_buckling": 0.9898965475979642, + "fos_yielding": 3.213346742868103, + "deflection": 0.008671157759972977, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006987)" + }, + "parent_node_id": "node_1478", + "improvement_over_parent": null + }, + "node_1480": { + "node_id": "node_1480", + "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0049)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0122)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n Mass: 201.53 kg\n Factor of Safety: 1.01\n Max Deflection: 8.54e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.52570680670817, + "fos_buckling": 1.0074612366046856, + "fos_yielding": 3.2010530631854754, + "deflection": 0.00853510854542999, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.513)" + }, + "parent_node_id": "node_1479", + "improvement_over_parent": null + }, + "node_1481": { + "node_id": "node_1481", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0057)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0142)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 230.13 kg\n Factor of Safety: 1.14\n Max Deflection: 7.48e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.13203902563288, + "fos_buckling": 1.138841651999476, + "fos_yielding": 3.675476221995762, + "deflection": 0.007480865190370212, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 213)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 213.62 kg\n Factor of Safety: 1.38\n Max Deflection: 7.42e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.62136015641485, + "fos_buckling": 1.383296516659202, + "fos_yielding": 4.678849350345285, + "deflection": 0.007418116507803732, + "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 5 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 214.02 kg\n Factor of Safety: 1.39\n Max Deflection: 7.37e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.0163783709464, + "fos_buckling": 1.39334233826106, + "fos_yielding": 4.673039424566232, + "deflection": 0.0073705484879860285, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.218)" + }, + "parent_node_id": "node_1483", + "improvement_over_parent": null + }, + "node_1485": { + "node_id": "node_1485", + "content": "MODIFICATION: Increase 7 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 218.79 kg\n Factor of Safety: 1.43\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": 218.79362525141377, + "fos_buckling": 1.4286437578131244, + "fos_yielding": 4.671662656128911, + "deflection": 0.007195363914886784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.190)" + }, + "parent_node_id": "node_1484", + "improvement_over_parent": null + }, + "node_1486": { + "node_id": "node_1486", + "content": "MODIFICATION: Increase 9 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.62801968187316, + "fos_buckling": 1.5259461686713294, + "fos_yielding": 4.604221052333589, + "deflection": 0.006969018205185131, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.595)" + }, + "parent_node_id": "node_1485", + "improvement_over_parent": null + }, + "node_1487": { + "node_id": "node_1487", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1486", + "improvement_over_parent": null + }, + "node_1488": { + "node_id": "node_1488", + "content": "INITIAL DESIGN (Trace 214)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\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_1489": { + "node_id": "node_1489", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 144.50 kg\n Factor of Safety: 0.43\n Max Deflection: 3.87e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.50169824321733, + "fos_buckling": 0.4269967247688883, + "fos_yielding": 4.821419439024695, + "deflection": 38674096100078.0, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_1488", + "improvement_over_parent": null + }, + "node_1490": { + "node_id": "node_1490", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 176.90 kg\n Factor of Safety: 0.98\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": 176.89531788333562, + "fos_buckling": 0.9841595578558244, + "fos_yielding": 5.14532698750567, + "deflection": 0.01070053589781785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_1489", + "improvement_over_parent": null + }, + "node_1491": { + "node_id": "node_1491", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 202.51 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.51184679263022, + "fos_buckling": 1.004201415007415, + "fos_yielding": 5.14532698750567, + "deflection": 0.008712052791565979, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_1490", + "improvement_over_parent": null + }, + "node_1492": { + "node_id": "node_1492", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63114177013117, + "fos_buckling": 1.5259801124081873, + "fos_yielding": 4.6041986555255745, + "deflection": 0.0069690140420197695, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_1491", + "improvement_over_parent": null + }, + "node_1493": { + "node_id": "node_1493", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1492", + "improvement_over_parent": null + }, + "node_1494": { + "node_id": "node_1494", + "content": "INITIAL DESIGN (Trace 215)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0031)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n Mass: 103.72 kg\n Factor of Safety: 0.66\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 103.71929869272347, + "fos_buckling": 0.6571761541484263, + "fos_yielding": 3.1879650212294472, + "deflection": 0.019118960324193836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1495": { + "node_id": "node_1495", + "content": "MODIFICATION: Increase 1 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n Mass: 109.52 kg\n Factor of Safety: 0.66\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": 109.51601145166968, + "fos_buckling": 0.6566716160059892, + "fos_yielding": 3.1879650212294472, + "deflection": 0.017127420875544593, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.522)" + }, + "parent_node_id": "node_1494", + "improvement_over_parent": null + }, + "node_1496": { + "node_id": "node_1496", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n\nPerformance:\n Mass: 125.06 kg\n Factor of Safety: 0.66\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.06435959583106, + "fos_buckling": 0.6553221264895934, + "fos_yielding": 2.8480243492771917, + "deflection": 0.014110573661715307, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004255)" + }, + "parent_node_id": "node_1495", + "improvement_over_parent": null + }, + "node_1497": { + "node_id": "node_1497", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 155.90 kg\n Factor of Safety: 0.79\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.89558132018203, + "fos_buckling": 0.7927221196899298, + "fos_yielding": 3.5461534366557785, + "deflection": 0.01136242284592236, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_1496", + "improvement_over_parent": null + }, + "node_1498": { + "node_id": "node_1498", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 202.06 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.05506934726142, + "fos_buckling": 0.9810308777588882, + "fos_yielding": 4.588452911304695, + "deflection": 0.008815741107864431, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_1497", + "improvement_over_parent": null + }, + "node_1499": { + "node_id": "node_1499", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.67 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.67159825655602, + "fos_buckling": 1.5259430199498276, + "fos_yielding": 4.604850308851024, + "deflection": 0.006967676864474231, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_1498", + "improvement_over_parent": null + }, + "node_1500": { + "node_id": "node_1500", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1499", + "improvement_over_parent": null + }, + "node_1501": { + "node_id": "node_1501", + "content": "INITIAL DESIGN (Trace 216)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n Mass: 133.61 kg\n Factor of Safety: 0.98\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": 133.61474763733094, + "fos_buckling": 0.9755000222396283, + "fos_yielding": 2.8712699722468047, + "deflection": 0.011912401906826678, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1502": { + "node_id": "node_1502", + "content": "MODIFICATION: Increase 1 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n Mass: 138.15 kg\n Factor of Safety: 0.97\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": 138.14727105187887, + "fos_buckling": 0.9709406670718347, + "fos_yielding": 2.90623466471588, + "deflection": 0.01140722502655277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.361)" + }, + "parent_node_id": "node_1501", + "improvement_over_parent": null + }, + "node_1503": { + "node_id": "node_1503", + "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n Mass: 141.02 kg\n Factor of Safety: 1.01\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": 141.01690475298895, + "fos_buckling": 1.0098585277712695, + "fos_yielding": 2.905320100391236, + "deflection": 0.011101074974326984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.206)" + }, + "parent_node_id": "node_1502", + "improvement_over_parent": null + }, + "node_1504": { + "node_id": "node_1504", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 178.49 kg\n Factor of Safety: 1.24\n Max Deflection: 8.81e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.49217816964546, + "fos_buckling": 1.2370304101276541, + "fos_yielding": 3.671886887166275, + "deflection": 0.008807930759172128, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_1503", + "improvement_over_parent": null + }, + "node_1505": { + "node_id": "node_1505", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 224.08 kg\n Factor of Safety: 1.49\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.0834366409036, + "fos_buckling": 1.4907044812019568, + "fos_yielding": 4.601276152436156, + "deflection": 0.007052339283958935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_1504", + "improvement_over_parent": null + }, + "node_1506": { + "node_id": "node_1506", + "content": "MODIFICATION: Increase 2 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.51 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5127166472428, + "fos_buckling": 1.5253397783993115, + "fos_yielding": 4.601856185639607, + "deflection": 0.006972479606907116, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.202)" + }, + "parent_node_id": "node_1505", + "improvement_over_parent": null + }, + "node_1507": { + "node_id": "node_1507", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1506", + "improvement_over_parent": null + }, + "node_1508": { + "node_id": "node_1508", + "content": "INITIAL DESIGN (Trace 217)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n Mass: 162.75 kg\n Factor of Safety: 0.88\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.7517380780987, + "fos_buckling": 0.8807007174812626, + "fos_yielding": 3.8929771262323207, + "deflection": 0.010941437878957194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1509": { + "node_id": "node_1509", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n\nPerformance:\n Mass: 182.04 kg\n Factor of Safety: 1.18\n Max Deflection: 8.88e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.04301168940458, + "fos_buckling": 1.1824115063450888, + "fos_yielding": 3.9042089499124053, + "deflection": 0.00887773806375617, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005939)" + }, + "parent_node_id": "node_1508", + "improvement_over_parent": null + }, + "node_1510": { + "node_id": "node_1510", + "content": "MODIFICATION: Increase 1 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n\nPerformance:\n Mass: 190.46 kg\n Factor of Safety: 1.10\n Max Deflection: 8.42e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.45789249871757, + "fos_buckling": 1.1035362096835322, + "fos_yielding": 3.962588192501037, + "deflection": 0.008423534167943308, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.560)" + }, + "parent_node_id": "node_1509", + "improvement_over_parent": null + }, + "node_1511": { + "node_id": "node_1511", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 218.12 kg\n Factor of Safety: 1.24\n Max Deflection: 7.38e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.11641969917844, + "fos_buckling": 1.2433233854699723, + "fos_yielding": 4.532497739434749, + "deflection": 0.007376073246828303, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_1510", + "improvement_over_parent": null + }, + "node_1512": { + "node_id": "node_1512", + "content": "MODIFICATION: Increase 10 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0099)]\n\nPerformance:\n Mass: 226.62 kg\n Factor of Safety: 1.24\n Max Deflection: 7.24e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.61645459111384, + "fos_buckling": 1.240144202588412, + "fos_yielding": 4.533081921044797, + "deflection": 0.007244525513777213, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.443)" + }, + "parent_node_id": "node_1511", + "improvement_over_parent": null + }, + "node_1513": { + "node_id": "node_1513", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1512", + "improvement_over_parent": null + }, + "node_1514": { + "node_id": "node_1514", + "content": "INITIAL DESIGN (Trace 218)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 179.13 kg\n Factor of Safety: 1.27\n Max Deflection: 8.95e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.12728220616674, + "fos_buckling": 1.2732486567197463, + "fos_yielding": 3.7714058937768917, + "deflection": 0.008946498600482914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1515": { + "node_id": "node_1515", + "content": "MODIFICATION: Increase 1 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 186.64 kg\n Factor of Safety: 1.29\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": 186.638172036267, + "fos_buckling": 1.285858220255191, + "fos_yielding": 3.8330922280926467, + "deflection": 0.008432997705431886, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.506)" + }, + "parent_node_id": "node_1514", + "improvement_over_parent": null + }, + "node_1516": { + "node_id": "node_1516", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 224.42 kg\n Factor of Safety: 1.49\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.41878677759564, + "fos_buckling": 1.4944716126032305, + "fos_yielding": 4.60204714796021, + "deflection": 0.007043477617405956, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_1515", + "improvement_over_parent": null + }, + "node_1517": { + "node_id": "node_1517", + "content": "MODIFICATION: Increase 2 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.54 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.54205289862261, + "fos_buckling": 1.5255999691962516, + "fos_yielding": 4.602566666258565, + "deflection": 0.006971637706166549, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.181)" + }, + "parent_node_id": "node_1516", + "improvement_over_parent": null + }, + "node_1518": { + "node_id": "node_1518", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1517", + "improvement_over_parent": null + }, + "node_1519": { + "node_id": "node_1519", + "content": "INITIAL DESIGN (Trace 219)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\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_1520": { + "node_id": "node_1520", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 172.76 kg\n Factor of Safety: 0.59\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": 172.76469029090984, + "fos_buckling": 0.5941115154972064, + "fos_yielding": 3.8542275967735673, + "deflection": 0.013696633690734221, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_1519", + "improvement_over_parent": null + }, + "node_1521": { + "node_id": "node_1521", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 194.86 kg\n Factor of Safety: 0.59\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": 194.85583841957015, + "fos_buckling": 0.592392073280089, + "fos_yielding": 3.851440891625397, + "deflection": 0.012092591356529543, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_1520", + "improvement_over_parent": null + }, + "node_1522": { + "node_id": "node_1522", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63343316245565, + "fos_buckling": 1.5259823311131833, + "fos_yielding": 4.604201722397661, + "deflection": 0.006968952390619957, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_1521", + "improvement_over_parent": null + }, + "node_1523": { + "node_id": "node_1523", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1522", + "improvement_over_parent": null + }, + "node_1524": { + "node_id": "node_1524", + "content": "INITIAL DESIGN (Trace 220)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0016)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 121.31 kg\n Factor of Safety: 0.32\n Max Deflection: 2.17e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.31447421935906, + "fos_buckling": 0.3235477533670073, + "fos_yielding": 1.2306521748138903, + "deflection": 0.0217087416761168, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1525": { + "node_id": "node_1525", + "content": "MODIFICATION: Increase 6 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 122.12 kg\n Factor of Safety: 0.32\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": 122.11782224465492, + "fos_buckling": 0.3235477533670073, + "fos_yielding": 1.8479426257987646, + "deflection": 0.020739932231171015, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.522)" + }, + "parent_node_id": "node_1524", + "improvement_over_parent": null + }, + "node_1526": { + "node_id": "node_1526", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n\nPerformance:\n Mass: 141.90 kg\n Factor of Safety: 0.32\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.9027130906374, + "fos_buckling": 0.3227037271442105, + "fos_yielding": 1.846742574944964, + "deflection": 0.018837613817033312, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005437)" + }, + "parent_node_id": "node_1525", + "improvement_over_parent": null + }, + "node_1527": { + "node_id": "node_1527", + "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n\nPerformance:\n Mass: 143.03 kg\n Factor of Safety: 0.32\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.02962374304087, + "fos_buckling": 0.3227037271442105, + "fos_yielding": 1.8467425749449644, + "deflection": 0.018677732300727685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.536)" + }, + "parent_node_id": "node_1526", + "improvement_over_parent": null + }, + "node_1528": { + "node_id": "node_1528", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 185.27 kg\n Factor of Safety: 0.41\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.2698196507538, + "fos_buckling": 0.40850617786001187, + "fos_yielding": 2.4073165615253256, + "deflection": 0.01444110255074676, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_1527", + "improvement_over_parent": null + }, + "node_1529": { + "node_id": "node_1529", + "content": "MODIFICATION: Increase 3 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 192.88 kg\n Factor of Safety: 0.59\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.88458484312306, + "fos_buckling": 0.5920563271966423, + "fos_yielding": 2.4055164395485242, + "deflection": 0.012654994492238657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.595)" + }, + "parent_node_id": "node_1528", + "improvement_over_parent": null + }, + "node_1530": { + "node_id": "node_1530", + "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 194.77 kg\n Factor of Safety: 0.59\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.77004845607522, + "fos_buckling": 0.5920563271966421, + "fos_yielding": 3.849087237745747, + "deflection": 0.012098520826623464, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.658)" + }, + "parent_node_id": "node_1529", + "improvement_over_parent": null + }, + "node_1531": { + "node_id": "node_1531", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.55 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5476431989607, + "fos_buckling": 1.525773319528109, + "fos_yielding": 4.601516159829579, + "deflection": 0.00697142267517295, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_1530", + "improvement_over_parent": null + }, + "node_1532": { + "node_id": "node_1532", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1531", + "improvement_over_parent": null + }, + "node_1533": { + "node_id": "node_1533", + "content": "INITIAL DESIGN (Trace 221)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 196.41 kg\n Factor of Safety: 1.01\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.4065631066692, + "fos_buckling": 1.0050044598242007, + "fos_yielding": 5.148075568176694, + "deflection": 0.008705270500522945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1534": { + "node_id": "node_1534", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n Mass: 214.53 kg\n Factor of Safety: 1.40\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": 214.5334887726252, + "fos_buckling": 1.4016682910846054, + "fos_yielding": 4.6933015960117315, + "deflection": 0.007262798774168098, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005007)" + }, + "parent_node_id": "node_1533", + "improvement_over_parent": null + }, + "node_1535": { + "node_id": "node_1535", + "content": "MODIFICATION: Increase 9 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0116)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n Mass: 226.58 kg\n Factor of Safety: 1.54\n Max Deflection: 6.89e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 226.57735080124158, + "fos_buckling": 1.536399038013408, + "fos_yielding": 4.744542548475293, + "deflection": 0.006893702543212713, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.422)" + }, + "parent_node_id": "node_1534", + "improvement_over_parent": null + }, + "node_1536": { + "node_id": "node_1536", + "content": "MODIFICATION: Increase 3 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0116)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n Mass: 232.69 kg\n Factor of Safety: 1.53\n Max Deflection: 6.79e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 232.68780132701525, + "fos_buckling": 1.5330968272966903, + "fos_yielding": 4.707291946835559, + "deflection": 0.006794445201326025, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.431)" + }, + "parent_node_id": "node_1535", + "improvement_over_parent": null + }, + "node_1537": { + "node_id": "node_1537", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1536", + "improvement_over_parent": null + }, + "node_1538": { + "node_id": "node_1538", + "content": "INITIAL DESIGN (Trace 222)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n Mass: 142.66 kg\n Factor of Safety: 0.89\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": 142.6557516583657, + "fos_buckling": 0.8917276313108787, + "fos_yielding": 2.6228774634503695, + "deflection": 0.011091282423764025, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1539": { + "node_id": "node_1539", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 159.42 kg\n Factor of Safety: 0.99\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": 159.42138998380003, + "fos_buckling": 0.9878146419184408, + "fos_yielding": 2.9335647203751276, + "deflection": 0.009943094601387745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_1538", + "improvement_over_parent": null + }, + "node_1540": { + "node_id": "node_1540", + "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 160.12 kg\n Factor of Safety: 1.14\n Max Deflection: 9.83e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.11882447851184, + "fos_buckling": 1.1393721643281, + "fos_yielding": 3.2460951038798576, + "deflection": 0.00983244365958805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.312)" + }, + "parent_node_id": "node_1539", + "improvement_over_parent": null + }, + "node_1541": { + "node_id": "node_1541", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 182.91 kg\n Factor of Safety: 1.28\n Max Deflection: 8.63e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.91028510698385, + "fos_buckling": 1.2759834548572162, + "fos_yielding": 3.7052829881035922, + "deflection": 0.008629450175523287, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_1540", + "improvement_over_parent": null + }, + "node_1542": { + "node_id": "node_1542", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.40 kg\n Factor of Safety: 1.52\n Max Deflection: 6.98e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.39634301025995, + "fos_buckling": 1.5247399329403042, + "fos_yielding": 4.5995192773434805, + "deflection": 0.006976065246451339, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_1541", + "improvement_over_parent": null + }, + "node_1543": { + "node_id": "node_1543", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1542", + "improvement_over_parent": null + }, + "node_1544": { + "node_id": "node_1544", + "content": "INITIAL DESIGN (Trace 223)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0029)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n Mass: 96.78 kg\n Factor of Safety: 0.55\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 96.77945260744404, + "fos_buckling": 0.552736754304865, + "fos_yielding": 2.564888518167875, + "deflection": 0.01912660124861253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1545": { + "node_id": "node_1545", + "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n Mass: 99.90 kg\n Factor of Safety: 0.55\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 99.90092469684483, + "fos_buckling": 0.5525079771173755, + "fos_yielding": 2.5648885181678756, + "deflection": 0.017698919277066863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.297)" + }, + "parent_node_id": "node_1544", + "improvement_over_parent": null + }, + "node_1546": { + "node_id": "node_1546", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n\nPerformance:\n Mass: 110.69 kg\n Factor of Safety: 0.84\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": 110.6879085690624, + "fos_buckling": 0.838152606188018, + "fos_yielding": 2.3025945643770473, + "deflection": 0.014255981353153915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003241)" + }, + "parent_node_id": "node_1545", + "improvement_over_parent": null + }, + "node_1547": { + "node_id": "node_1547", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n\nPerformance:\n Mass: 136.03 kg\n Factor of Safety: 1.01\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.02673764432052, + "fos_buckling": 1.0075543454932536, + "fos_yielding": 2.8266509913888145, + "deflection": 0.01163257622566232, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_1546", + "improvement_over_parent": null + }, + "node_1548": { + "node_id": "node_1548", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n\nPerformance:\n Mass: 164.74 kg\n Factor of Safety: 1.19\n Max Deflection: 9.64e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.73521444506642, + "fos_buckling": 1.1895684304407241, + "fos_yielding": 3.4189942055297453, + "deflection": 0.009635411145384716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_1547", + "improvement_over_parent": null + }, + "node_1549": { + "node_id": "node_1549", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n\nPerformance:\n Mass: 191.44 kg\n Factor of Safety: 1.35\n Max Deflection: 8.32e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.4395555182936, + "fos_buckling": 1.3495120565078225, + "fos_yielding": 3.9686303875015945, + "deflection": 0.008315352320916855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_1548", + "improvement_over_parent": null + }, + "node_1550": { + "node_id": "node_1550", + "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n\nPerformance:\n Mass: 195.92 kg\n Factor of Safety: 1.35\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": 195.92412378428193, + "fos_buckling": 1.3510252201762996, + "fos_yielding": 3.9670599077344377, + "deflection": 0.008067981952469995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.248)" + }, + "parent_node_id": "node_1549", + "improvement_over_parent": null + }, + "node_1551": { + "node_id": "node_1551", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.32 kg\n Factor of Safety: 1.52\n Max Deflection: 6.98e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.3190720048878, + "fos_buckling": 1.5241441436816685, + "fos_yielding": 4.5978551308728095, + "deflection": 0.006978294429885174, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_1550", + "improvement_over_parent": null + }, + "node_1552": { + "node_id": "node_1552", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1551", + "improvement_over_parent": null + }, + "node_1553": { + "node_id": "node_1553", + "content": "INITIAL DESIGN (Trace 224)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0019)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n\nPerformance:\n Mass: 116.95 kg\n Factor of Safety: 0.59\n Max Deflection: 2.09e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.94965601459418, + "fos_buckling": 0.592519237846471, + "fos_yielding": 2.4402995223444806, + "deflection": 0.02088078809519846, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1554": { + "node_id": "node_1554", + "content": "MODIFICATION: Increase 0 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0019)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0044)]\n\nPerformance:\n Mass: 122.10 kg\n Factor of Safety: 0.60\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.09671126804716, + "fos_buckling": 0.6034888674120844, + "fos_yielding": 2.4906479321555, + "deflection": 0.01877857684763762, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.513)" + }, + "parent_node_id": "node_1553", + "improvement_over_parent": null + }, + "node_1555": { + "node_id": "node_1555", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 152.81 kg\n Factor of Safety: 0.74\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.81029959654, + "fos_buckling": 0.7359040279880507, + "fos_yielding": 3.1225809162493614, + "deflection": 0.015040168116713914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_1554", + "improvement_over_parent": null + }, + "node_1556": { + "node_id": "node_1556", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 185.42 kg\n Factor of Safety: 0.87\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.42449317448973, + "fos_buckling": 0.8680966326295745, + "fos_yielding": 3.796745789011214, + "deflection": 0.012426456870960275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_1555", + "improvement_over_parent": null + }, + "node_1557": { + "node_id": "node_1557", + "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 186.48 kg\n Factor of Safety: 0.88\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.47941704742718, + "fos_buckling": 0.8757791199599041, + "fos_yielding": 4.369700895382789, + "deflection": 0.012425817853982373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.427)" + }, + "parent_node_id": "node_1556", + "improvement_over_parent": null + }, + "node_1558": { + "node_id": "node_1558", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 218.82 kg\n Factor of Safety: 1.00\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.81655742092633, + "fos_buckling": 0.9986798545407601, + "fos_yielding": 5.119475652522058, + "deflection": 0.010615680570472491, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_1557", + "improvement_over_parent": null + }, + "node_1559": { + "node_id": "node_1559", + "content": "MODIFICATION: Increase 8 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 224.89 kg\n Factor of Safety: 1.00\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.8942632814505, + "fos_buckling": 0.9984403662083431, + "fos_yielding": 5.1150112399566146, + "deflection": 0.010615695366720778, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.351)" + }, + "parent_node_id": "node_1558", + "improvement_over_parent": null + }, + "node_1560": { + "node_id": "node_1560", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.28 kg\n Factor of Safety: 1.52\n Max Deflection: 6.98e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.27894559303664, + "fos_buckling": 1.5241564902633369, + "fos_yielding": 4.596998334538565, + "deflection": 0.006979216249335827, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_1559", + "improvement_over_parent": null + }, + "node_1561": { + "node_id": "node_1561", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1560", + "improvement_over_parent": null + }, + "node_1562": { + "node_id": "node_1562", + "content": "INITIAL DESIGN (Trace 225)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0017)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n Mass: 95.61 kg\n Factor of Safety: 0.53\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 95.6112513439286, + "fos_buckling": 0.5313497147560162, + "fos_yielding": 2.2986079233864443, + "deflection": 0.018488924179219993, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1563": { + "node_id": "node_1563", + "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0023)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n Mass: 97.82 kg\n Factor of Safety: 0.53\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": 97.8213248198777, + "fos_buckling": 0.531193961062308, + "fos_yielding": 2.2734411882165815, + "deflection": 0.018106289485401304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.404)" + }, + "parent_node_id": "node_1562", + "improvement_over_parent": null + }, + "node_1564": { + "node_id": "node_1564", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0023)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n\nPerformance:\n Mass: 108.63 kg\n Factor of Safety: 0.77\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": 108.62888758803359, + "fos_buckling": 0.7684955174554639, + "fos_yielding": 2.281523541804846, + "deflection": 0.014343919712298304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003213)" + }, + "parent_node_id": "node_1563", + "improvement_over_parent": null + }, + "node_1565": { + "node_id": "node_1565", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0029)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n\nPerformance:\n Mass: 132.60 kg\n Factor of Safety: 0.92\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": 132.59943160446215, + "fos_buckling": 0.9237528796809297, + "fos_yielding": 2.7821320358585395, + "deflection": 0.01178312127638363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_1564", + "improvement_over_parent": null + }, + "node_1566": { + "node_id": "node_1566", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n\nPerformance:\n Mass: 173.73 kg\n Factor of Safety: 1.18\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": 173.73076887192286, + "fos_buckling": 1.178276320237714, + "fos_yielding": 3.6386528655265282, + "deflection": 0.009035622147579863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_1565", + "improvement_over_parent": null + }, + "node_1567": { + "node_id": "node_1567", + "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0054)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n\nPerformance:\n Mass: 174.86 kg\n Factor of Safety: 1.18\n Max Deflection: 8.95e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.85981177692287, + "fos_buckling": 1.1799386805159466, + "fos_yielding": 3.6391405308973708, + "deflection": 0.008950187891630736, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.364)" + }, + "parent_node_id": "node_1566", + "improvement_over_parent": null + }, + "node_1568": { + "node_id": "node_1568", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0070)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 223.81 kg\n Factor of Safety: 1.46\n Max Deflection: 7.03e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.80617458415765, + "fos_buckling": 1.4622654397282016, + "fos_yielding": 4.648818213027171, + "deflection": 0.007031818736512171, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_1567", + "improvement_over_parent": null + }, + "node_1569": { + "node_id": "node_1569", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1568", + "improvement_over_parent": null + }, + "node_1570": { + "node_id": "node_1570", + "content": "INITIAL DESIGN (Trace 226)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 168.26 kg\n Factor of Safety: 0.59\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.25964959066852, + "fos_buckling": 0.5943869407816074, + "fos_yielding": 3.8546728545455107, + "deflection": 0.013693879850653361, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1571": { + "node_id": "node_1571", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 189.77 kg\n Factor of Safety: 0.98\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": 189.77232487282404, + "fos_buckling": 0.9823882554167607, + "fos_yielding": 4.501776913747432, + "deflection": 0.009301659377174466, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005171)" + }, + "parent_node_id": "node_1570", + "improvement_over_parent": null + }, + "node_1572": { + "node_id": "node_1572", + "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 190.75 kg\n Factor of Safety: 0.98\n Max Deflection: 9.30e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.74941307110046, + "fos_buckling": 0.9823882554167607, + "fos_yielding": 4.501776913747432, + "deflection": 0.009301659377174466, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.316)" + }, + "parent_node_id": "node_1571", + "improvement_over_parent": null + }, + "node_1573": { + "node_id": "node_1573", + "content": "MODIFICATION: Increase 9 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 202.03 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.03016403151628, + "fos_buckling": 0.9809377664481066, + "fos_yielding": 4.5878983736648795, + "deflection": 0.008816794327985506, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.575)" + }, + "parent_node_id": "node_1572", + "improvement_over_parent": null + }, + "node_1574": { + "node_id": "node_1574", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.65 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.64669294081088, + "fos_buckling": 1.5264273252051352, + "fos_yielding": 4.604293514625936, + "deflection": 0.0069685316362213924, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 227)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0014)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 117.38 kg\n Factor of Safety: 0.43\n Max Deflection: 2.03e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.38395447628261, + "fos_buckling": 0.42604537586914765, + "fos_yielding": 2.186318814716065, + "deflection": 0.020348861352028853, + "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 7 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0014)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 120.00 kg\n Factor of Safety: 0.43\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.0040757354065, + "fos_buckling": 0.4258977385585028, + "fos_yielding": 2.186213705549977, + "deflection": 0.019316570882272004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.200)" + }, + "parent_node_id": "node_1576", + "improvement_over_parent": null + }, + "node_1578": { + "node_id": "node_1578", + "content": "MODIFICATION: Increase 0 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0014)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 124.10 kg\n Factor of Safety: 0.43\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.0974674190033, + "fos_buckling": 0.42566729081454663, + "fos_yielding": 2.1860495146796586, + "deflection": 0.019324524439268118, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.312)" + }, + "parent_node_id": "node_1577", + "improvement_over_parent": null + }, + "node_1579": { + "node_id": "node_1579", + "content": "MODIFICATION: Increase 6 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0014)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 125.00 kg\n Factor of Safety: 0.43\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.004490378145, + "fos_buckling": 0.42566729081454663, + "fos_yielding": 2.3054812677793297, + "deflection": 0.01916837521231203, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.412)" + }, + "parent_node_id": "node_1578", + "improvement_over_parent": null + }, + "node_1580": { + "node_id": "node_1580", + "content": "MODIFICATION: Increase 5 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 125.59 kg\n Factor of Safety: 0.43\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.59270704231687, + "fos_buckling": 0.42560110668033424, + "fos_yielding": 2.7536839329519687, + "deflection": 0.018357091336490133, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.656)" + }, + "parent_node_id": "node_1579", + "improvement_over_parent": null + }, + "node_1581": { + "node_id": "node_1581", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 158.18 kg\n Factor of Safety: 0.52\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.18346899782895, + "fos_buckling": 0.5187241336409798, + "fos_yielding": 3.4611763639433972, + "deflection": 0.014628339378826712, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_1580", + "improvement_over_parent": null + }, + "node_1582": { + "node_id": "node_1582", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 195.35 kg\n Factor of Safety: 0.62\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.35009844728626, + "fos_buckling": 0.6164273513277768, + "fos_yielding": 4.264486973098725, + "deflection": 0.011894500369526785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_1581", + "improvement_over_parent": null + }, + "node_1583": { + "node_id": "node_1583", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.74 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.74371808740455, + "fos_buckling": 1.526819200566923, + "fos_yielding": 4.604559434994226, + "deflection": 0.006965560302811391, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_1582", + "improvement_over_parent": null + }, + "node_1584": { + "node_id": "node_1584", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1583", + "improvement_over_parent": null + }, + "node_1585": { + "node_id": "node_1585", + "content": "INITIAL DESIGN (Trace 228)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n Mass: 171.97 kg\n Factor of Safety: 1.05\n Max Deflection: 9.23e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.96626939691512, + "fos_buckling": 1.0534791296636556, + "fos_yielding": 3.6475316964862903, + "deflection": 0.00922911659544904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1586": { + "node_id": "node_1586", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n Mass: 214.63 kg\n Factor of Safety: 1.28\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": 214.62845144160386, + "fos_buckling": 1.2793573940046215, + "fos_yielding": 4.542146618636142, + "deflection": 0.00742815406254404, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_1585", + "improvement_over_parent": null + }, + "node_1587": { + "node_id": "node_1587", + "content": "MODIFICATION: Increase 10 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 223.01 kg\n Factor of Safety: 1.48\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": 223.0103007353028, + "fos_buckling": 1.477056591920399, + "fos_yielding": 4.60271492815975, + "deflection": 0.007081820526142037, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.377)" + }, + "parent_node_id": "node_1586", + "improvement_over_parent": null + }, + "node_1588": { + "node_id": "node_1588", + "content": "MODIFICATION: Increase 2 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.62 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6152814808542, + "fos_buckling": 1.5259827618747346, + "fos_yielding": 4.603544420915928, + "deflection": 0.0069695671905471565, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.289)" + }, + "parent_node_id": "node_1587", + "improvement_over_parent": null + }, + "node_1589": { + "node_id": "node_1589", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1588", + "improvement_over_parent": null + }, + "node_1590": { + "node_id": "node_1590", + "content": "INITIAL DESIGN (Trace 229)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0022)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0041)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n Mass: 117.73 kg\n Factor of Safety: 0.77\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": 117.73210495774347, + "fos_buckling": 0.7702340135870586, + "fos_yielding": 2.504457247804581, + "deflection": 0.01325779823656517, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1591": { + "node_id": "node_1591", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0027)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n Mass: 139.27 kg\n Factor of Safety: 0.90\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": 139.27402765148986, + "fos_buckling": 0.9002883904941036, + "fos_yielding": 2.959857031910208, + "deflection": 0.011234440154617116, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_1590", + "improvement_over_parent": null + }, + "node_1592": { + "node_id": "node_1592", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 180.63 kg\n Factor of Safety: 1.14\n Max Deflection: 8.70e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.63244450954926, + "fos_buckling": 1.1406712646239976, + "fos_yielding": 3.8315938409722494, + "deflection": 0.008702493134618556, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_1591", + "improvement_over_parent": null + }, + "node_1593": { + "node_id": "node_1593", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 220.04 kg\n Factor of Safety: 1.36\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.04469325134482, + "fos_buckling": 1.3584183806875672, + "fos_yielding": 4.65904418087653, + "deflection": 0.00717532580357029, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_1592", + "improvement_over_parent": null + }, + "node_1594": { + "node_id": "node_1594", + "content": "MODIFICATION: Increase 3 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.42 kg\n Factor of Safety: 1.52\n Max Deflection: 6.98e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.4237522624088, + "fos_buckling": 1.524908164129616, + "fos_yielding": 4.599823529842805, + "deflection": 0.006975277198147203, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.567)" + }, + "parent_node_id": "node_1593", + "improvement_over_parent": null + }, + "node_1595": { + "node_id": "node_1595", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1594", + "improvement_over_parent": null + }, + "node_1596": { + "node_id": "node_1596", + "content": "INITIAL DESIGN (Trace 230)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n\nPerformance:\n Mass: 103.56 kg\n Factor of Safety: 0.54\n Max Deflection: 7.04e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 103.56172368871495, + "fos_buckling": 0.5447284607903419, + "fos_yielding": 3.142197476204035, + "deflection": 70353391384153.69, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1597": { + "node_id": "node_1597", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n\nPerformance:\n Mass: 118.89 kg\n Factor of Safety: 0.39\n Max Deflection: 1.97e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.88826979235404, + "fos_buckling": 0.39059637587121965, + "fos_yielding": 2.358666356945089, + "deflection": 0.019652429586429005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004191)" + }, + "parent_node_id": "node_1596", + "improvement_over_parent": null + }, + "node_1598": { + "node_id": "node_1598", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n Mass: 135.00 kg\n Factor of Safety: 0.44\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.99884704880577, + "fos_buckling": 0.4364512452091115, + "fos_yielding": 2.676171418873624, + "deflection": 0.017338269141590562, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_1597", + "improvement_over_parent": null + }, + "node_1599": { + "node_id": "node_1599", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 153.74 kg\n Factor of Safety: 0.49\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.74088383458124, + "fos_buckling": 0.4877125239714308, + "fos_yielding": 3.044905507015855, + "deflection": 0.015256422332447818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_1598", + "improvement_over_parent": null + }, + "node_1600": { + "node_id": "node_1600", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 194.91 kg\n Factor of Safety: 0.59\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.91334857559335, + "fos_buckling": 0.5925307984207836, + "fos_yielding": 3.8525640880223286, + "deflection": 0.01208884449523689, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_1599", + "improvement_over_parent": null + }, + "node_1601": { + "node_id": "node_1601", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.69 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.69094331847884, + "fos_buckling": 1.5260882721692566, + "fos_yielding": 4.605478894984654, + "deflection": 0.006967271354690516, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_1600", + "improvement_over_parent": null + }, + "node_1602": { + "node_id": "node_1602", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1601", + "improvement_over_parent": null + }, + "node_1603": { + "node_id": "node_1603", + "content": "INITIAL DESIGN (Trace 231)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0041)]\n\nPerformance:\n Mass: 116.53 kg\n Factor of Safety: 0.58\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.52848269347042, + "fos_buckling": 0.5757928291991116, + "fos_yielding": 3.551869684559999, + "deflection": 0.016670388508260178, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1604": { + "node_id": "node_1604", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0041)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n Mass: 133.86 kg\n Factor of Safety: 0.72\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.85506679581985, + "fos_buckling": 0.7207364500472044, + "fos_yielding": 3.1337683905254416, + "deflection": 0.013133702739042331, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004772)" + }, + "parent_node_id": "node_1603", + "improvement_over_parent": null + }, + "node_1605": { + "node_id": "node_1605", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n Mass: 167.62 kg\n Factor of Safety: 0.87\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": 167.61917203260458, + "fos_buckling": 0.8715622323503026, + "fos_yielding": 3.9178269554002347, + "deflection": 0.010530734656567968, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_1604", + "improvement_over_parent": null + }, + "node_1606": { + "node_id": "node_1606", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 194.26 kg\n Factor of Safety: 0.98\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": 194.25866755268802, + "fos_buckling": 0.9819975737380128, + "fos_yielding": 4.534554698824104, + "deflection": 0.00911562542979342, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_1605", + "improvement_over_parent": null + }, + "node_1607": { + "node_id": "node_1607", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 219.88 kg\n Factor of Safety: 1.30\n Max Deflection: 7.28e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.87519646198263, + "fos_buckling": 1.2962090941873343, + "fos_yielding": 4.54918995688935, + "deflection": 0.007284952063177522, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_1606", + "improvement_over_parent": null + }, + "node_1608": { + "node_id": "node_1608", + "content": "MODIFICATION: Increase 10 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0096)]\n\nPerformance:\n Mass: 227.52 kg\n Factor of Safety: 1.29\n Max Deflection: 7.17e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.5238262392269, + "fos_buckling": 1.2933649713882496, + "fos_yielding": 4.549666095284054, + "deflection": 0.007165322993147506, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.340)" + }, + "parent_node_id": "node_1607", + "improvement_over_parent": null + }, + "node_1609": { + "node_id": "node_1609", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1608", + "improvement_over_parent": null + }, + "node_1610": { + "node_id": "node_1610", + "content": "INITIAL DESIGN (Trace 232)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0040)]\n\nPerformance:\n Mass: 93.86 kg\n Factor of Safety: 0.55\n Max Deflection: 2.07e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 93.85825907021092, + "fos_buckling": 0.5524775255838078, + "fos_yielding": 2.628929016739617, + "deflection": 0.020743424626573057, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1611": { + "node_id": "node_1611", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n Mass: 111.32 kg\n Factor of Safety: 0.64\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": 111.32237038314386, + "fos_buckling": 0.643529629749626, + "fos_yielding": 3.117309871071584, + "deflection": 0.017532543649238713, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_1610", + "improvement_over_parent": null + }, + "node_1612": { + "node_id": "node_1612", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 129.95 kg\n Factor of Safety: 0.74\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.94512050573394, + "fos_buckling": 0.7366289863371198, + "fos_yielding": 3.637822286607388, + "deflection": 0.015059487079977273, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_1611", + "improvement_over_parent": null + }, + "node_1613": { + "node_id": "node_1613", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 149.15 kg\n Factor of Safety: 0.83\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.1518996564574, + "fos_buckling": 0.8283606498461809, + "fos_yielding": 4.1743672968678895, + "deflection": 0.01315578741537439, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_1612", + "improvement_over_parent": null + }, + "node_1614": { + "node_id": "node_1614", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n\nPerformance:\n Mass: 162.51 kg\n Factor of Safety: 0.85\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.51128165059623, + "fos_buckling": 0.8465688214853928, + "fos_yielding": 4.1743672968678895, + "deflection": 0.010881162266077635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004012)" + }, + "parent_node_id": "node_1613", + "improvement_over_parent": null + }, + "node_1615": { + "node_id": "node_1615", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n\nPerformance:\n Mass: 200.49 kg\n Factor of Safety: 1.00\n Max Deflection: 8.86e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.48594789835266, + "fos_buckling": 1.0046700588866273, + "fos_yielding": 5.14503055475393, + "deflection": 0.008861659410277655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.256)" + }, + "parent_node_id": "node_1614", + "improvement_over_parent": null + }, + "node_1616": { + "node_id": "node_1616", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 222.15 kg\n Factor of Safety: 1.45\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.1452441752001, + "fos_buckling": 1.4480825592529731, + "fos_yielding": 4.604308654351939, + "deflection": 0.0071078072795426155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_1615", + "improvement_over_parent": null + }, + "node_1617": { + "node_id": "node_1617", + "content": "MODIFICATION: Increase 2 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0070)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 223.55 kg\n Factor of Safety: 1.40\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.54703303223408, + "fos_buckling": 1.3999265501536398, + "fos_yielding": 4.604901235208088, + "deflection": 0.007048344564051606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.366)" + }, + "parent_node_id": "node_1616", + "improvement_over_parent": null + }, + "node_1618": { + "node_id": "node_1618", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1617", + "improvement_over_parent": null + }, + "node_1619": { + "node_id": "node_1619", + "content": "INITIAL DESIGN (Trace 233)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 154.60 kg\n Factor of Safety: 0.75\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.5961755967265, + "fos_buckling": 0.7520023316174008, + "fos_yielding": 3.658337815210472, + "deflection": 0.014802791945987784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1620": { + "node_id": "node_1620", + "content": "MODIFICATION: Increase 2 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 160.49 kg\n Factor of Safety: 0.75\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": 160.4903111241801, + "fos_buckling": 0.7523700321944692, + "fos_yielding": 3.659861923625534, + "deflection": 0.014814289065736676, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.637)" + }, + "parent_node_id": "node_1619", + "improvement_over_parent": null + }, + "node_1621": { + "node_id": "node_1621", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 200.74 kg\n Factor of Safety: 0.91\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.7395353636266, + "fos_buckling": 0.9098664198060746, + "fos_yielding": 4.570228308949317, + "deflection": 0.011874601546873979, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_1620", + "improvement_over_parent": null + }, + "node_1622": { + "node_id": "node_1622", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 225.22 kg\n Factor of Safety: 1.00\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": 225.21959047027337, + "fos_buckling": 0.9996290528337421, + "fos_yielding": 5.122468902452563, + "deflection": 0.010600515844520902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_1621", + "improvement_over_parent": null + }, + "node_1623": { + "node_id": "node_1623", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.60 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.60427278185952, + "fos_buckling": 1.5258656327816331, + "fos_yielding": 4.603743894716317, + "deflection": 0.006969752666628683, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 234)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n Mass: 129.98 kg\n Factor of Safety: 0.72\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.98066119097265, + "fos_buckling": 0.7177768867350713, + "fos_yielding": 3.5083961483218684, + "deflection": 0.01723045698905812, + "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: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n Mass: 132.74 kg\n Factor of Safety: 0.72\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.73507829380793, + "fos_buckling": 0.7175157686830885, + "fos_yielding": 3.506717101263487, + "deflection": 0.017229794274236758, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.202)" + }, + "parent_node_id": "node_1625", + "improvement_over_parent": null + }, + "node_1627": { + "node_id": "node_1627", + "content": "MODIFICATION: Increase 1 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n Mass: 139.38 kg\n Factor of Safety: 0.72\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.37922247468006, + "fos_buckling": 0.7168866866455411, + "fos_yielding": 3.504694157948465, + "deflection": 0.015349881652235078, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.553)" + }, + "parent_node_id": "node_1626", + "improvement_over_parent": null + }, + "node_1628": { + "node_id": "node_1628", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 157.59 kg\n Factor of Safety: 0.80\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.58550375706687, + "fos_buckling": 0.7963089233776979, + "fos_yielding": 3.9576051512217743, + "deflection": 0.013590649978342844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_1627", + "improvement_over_parent": null + }, + "node_1629": { + "node_id": "node_1629", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n Mass: 159.44 kg\n Factor of Safety: 0.80\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.435530836824, + "fos_buckling": 0.7959212008971052, + "fos_yielding": 3.5640678471179137, + "deflection": 0.01130770244101994, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002875)" + }, + "parent_node_id": "node_1628", + "improvement_over_parent": null + }, + "node_1630": { + "node_id": "node_1630", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n\nPerformance:\n Mass: 180.62 kg\n Factor of Safety: 0.88\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.62068200585256, + "fos_buckling": 0.8831956182990599, + "fos_yielding": 4.0345415568937515, + "deflection": 0.01000690818632085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_1629", + "improvement_over_parent": null + }, + "node_1631": { + "node_id": "node_1631", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n\nPerformance:\n Mass: 200.04 kg\n Factor of Safety: 1.37\n Max Deflection: 7.91e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.04073471176622, + "fos_buckling": 1.3743866026514806, + "fos_yielding": 4.0496096313749845, + "deflection": 0.007905695426906391, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005982)" + }, + "parent_node_id": "node_1630", + "improvement_over_parent": null + }, + "node_1632": { + "node_id": "node_1632", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.53 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.53460459055879, + "fos_buckling": 1.5252878871335072, + "fos_yielding": 4.601913441258716, + "deflection": 0.006971923468665019, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_1631", + "improvement_over_parent": null + }, + "node_1633": { + "node_id": "node_1633", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1632", + "improvement_over_parent": null + }, + "node_1634": { + "node_id": "node_1634", + "content": "INITIAL DESIGN (Trace 235)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n Mass: 141.38 kg\n Factor of Safety: 0.48\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.3831020132722, + "fos_buckling": 0.47664788999035923, + "fos_yielding": 2.826918922555952, + "deflection": 0.01673548915420293, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1635": { + "node_id": "node_1635", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n Mass: 166.52 kg\n Factor of Safety: 0.94\n Max Deflection: 9.79e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.5211758123812, + "fos_buckling": 0.9430335771245298, + "fos_yielding": 2.7914763053367393, + "deflection": 0.009790804569326888, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006104)" + }, + "parent_node_id": "node_1634", + "improvement_over_parent": null + }, + "node_1636": { + "node_id": "node_1636", + "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n Mass: 173.07 kg\n Factor of Safety: 0.96\n Max Deflection: 9.30e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.06909983783524, + "fos_buckling": 0.9610449092601175, + "fos_yielding": 2.8447916995110916, + "deflection": 0.009297810846992667, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.383)" + }, + "parent_node_id": "node_1635", + "improvement_over_parent": null + }, + "node_1637": { + "node_id": "node_1637", + "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n Mass: 173.52 kg\n Factor of Safety: 0.96\n Max Deflection: 9.19e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.52051962135403, + "fos_buckling": 0.9580842451809216, + "fos_yielding": 2.836027829564554, + "deflection": 0.009192549669990611, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.351)" + }, + "parent_node_id": "node_1636", + "improvement_over_parent": null + }, + "node_1638": { + "node_id": "node_1638", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 200.41 kg\n Factor of Safety: 1.09\n Max Deflection: 7.98e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.41271656461453, + "fos_buckling": 1.0939677788296713, + "fos_yielding": 3.283827831597838, + "deflection": 0.007981808456693931, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_1637", + "improvement_over_parent": null + }, + "node_1639": { + "node_id": "node_1639", + "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 201.63 kg\n Factor of Safety: 1.38\n Max Deflection: 7.85e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.6269211803608, + "fos_buckling": 1.3834613431050646, + "fos_yielding": 4.0820452739552735, + "deflection": 0.007845135422546582, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.495)" + }, + "parent_node_id": "node_1638", + "improvement_over_parent": null + }, + "node_1640": { + "node_id": "node_1640", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.68 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6835106336299, + "fos_buckling": 1.5262138828536467, + "fos_yielding": 4.6055072713201834, + "deflection": 0.006967683866607412, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_1639", + "improvement_over_parent": null + }, + "node_1641": { + "node_id": "node_1641", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1640", + "improvement_over_parent": null + }, + "node_1642": { + "node_id": "node_1642", + "content": "INITIAL DESIGN (Trace 236)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 163.55 kg\n Factor of Safety: 0.62\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": 163.5543700726825, + "fos_buckling": 0.6187021034602598, + "fos_yielding": 4.267184096170553, + "deflection": 0.014231946444401147, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1643": { + "node_id": "node_1643", + "content": "MODIFICATION: Increase 8 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 169.29 kg\n Factor of Safety: 0.62\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": 169.2886993749313, + "fos_buckling": 0.618235692197185, + "fos_yielding": 4.266163649005661, + "deflection": 0.013653330675335352, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.233)" + }, + "parent_node_id": "node_1642", + "improvement_over_parent": null + }, + "node_1644": { + "node_id": "node_1644", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 194.41 kg\n Factor of Safety: 0.62\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": 194.40799435243224, + "fos_buckling": 0.6162008322011022, + "fos_yielding": 3.8061327242004475, + "deflection": 0.012337961260684443, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_1643", + "improvement_over_parent": null + }, + "node_1645": { + "node_id": "node_1645", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 226.80 kg\n Factor of Safety: 1.33\n Max Deflection: 7.10e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.80161399255053, + "fos_buckling": 1.3274869714529354, + "fos_yielding": 4.621090086911843, + "deflection": 0.007099542263033906, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_1644", + "improvement_over_parent": null + }, + "node_1646": { + "node_id": "node_1646", + "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.61207891433622, + "fos_buckling": 1.5254453676778073, + "fos_yielding": 4.604105450092035, + "deflection": 0.006969768741249446, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.565)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 237)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 214.48 kg\n Factor of Safety: 1.28\n Max Deflection: 7.61e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.47918390668647, + "fos_buckling": 1.2799604147043917, + "fos_yielding": 4.624002142578008, + "deflection": 0.007612394017033751, + "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: Increase 5 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 215.25 kg\n Factor of Safety: 1.52\n Max Deflection: 7.48e-03 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 215.25371222481445, + "fos_buckling": 1.5247829695867938, + "fos_yielding": 4.607141169157672, + "deflection": 0.0074793230317823905, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.527)" + }, + "parent_node_id": "node_1648", + "improvement_over_parent": null + }, + "node_1650": { + "node_id": "node_1650", + "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 218.84 kg\n Factor of Safety: 1.49\n Max Deflection: 7.38e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.84179137931991, + "fos_buckling": 1.485736201766504, + "fos_yielding": 4.607685884656714, + "deflection": 0.007378022680833359, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.179)" + }, + "parent_node_id": "node_1649", + "improvement_over_parent": null + }, + "node_1651": { + "node_id": "node_1651", + "content": "MODIFICATION: Increase 0 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.64032655452374, + "fos_buckling": 1.5260268994968669, + "fos_yielding": 4.604168987697194, + "deflection": 0.006968423718106645, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.504)" + }, + "parent_node_id": "node_1650", + "improvement_over_parent": null + }, + "node_1652": { + "node_id": "node_1652", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1651", + "improvement_over_parent": null + }, + "node_1653": { + "node_id": "node_1653", + "content": "INITIAL DESIGN (Trace 238)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0025)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n\nPerformance:\n Mass: 114.25 kg\n Factor of Safety: 0.39\n Max Deflection: 2.04e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 114.25461125213249, + "fos_buckling": 0.3937768445419282, + "fos_yielding": 2.378660814659376, + "deflection": 0.020376328920760158, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1654": { + "node_id": "node_1654", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0025)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n Mass: 134.42 kg\n Factor of Safety: 0.87\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.41875213916452, + "fos_buckling": 0.8664348983098854, + "fos_yielding": 2.8476732310695065, + "deflection": 0.011763443420707384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.004829)" + }, + "parent_node_id": "node_1653", + "improvement_over_parent": null + }, + "node_1655": { + "node_id": "node_1655", + "content": "MODIFICATION: Increase 2 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n Mass: 139.60 kg\n Factor of Safety: 0.90\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": 139.59995006402946, + "fos_buckling": 0.8997393692461977, + "fos_yielding": 2.8495097773477576, + "deflection": 0.011389379757786242, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.650)" + }, + "parent_node_id": "node_1654", + "improvement_over_parent": null + }, + "node_1656": { + "node_id": "node_1656", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n Mass: 168.37 kg\n Factor of Safety: 1.07\n Max Deflection: 9.47e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.36788145262238, + "fos_buckling": 1.0732099293079504, + "fos_yielding": 3.433130352861338, + "deflection": 0.00947199414241205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_1655", + "improvement_over_parent": null + }, + "node_1657": { + "node_id": "node_1657", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 192.53 kg\n Factor of Safety: 1.22\n Max Deflection: 8.30e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.53489126862945, + "fos_buckling": 1.215703681649457, + "fos_yielding": 3.922460894657026, + "deflection": 0.008304073841761229, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_1656", + "improvement_over_parent": null + }, + "node_1658": { + "node_id": "node_1658", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n\nPerformance:\n Mass: 227.25 kg\n Factor of Safety: 1.42\n Max Deflection: 7.06e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.24540275943122, + "fos_buckling": 1.4151348706390694, + "fos_yielding": 4.623753750534889, + "deflection": 0.0070611789544111955, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_1657", + "improvement_over_parent": null + }, + "node_1659": { + "node_id": "node_1659", + "content": "MODIFICATION: Increase 5 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n\nPerformance:\n Mass: 227.93 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.92806673747305, + "fos_buckling": 1.527630662891652, + "fos_yielding": 4.610456917962659, + "deflection": 0.006959945202865685, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.439)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 239)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n Mass: 145.90 kg\n Factor of Safety: 1.07\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": 145.90273730683532, + "fos_buckling": 1.065402885739194, + "fos_yielding": 3.075975282400671, + "deflection": 0.010964911868566372, + "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 all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 169.38 kg\n Factor of Safety: 1.21\n Max Deflection: 9.47e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.37586196167044, + "fos_buckling": 1.2112873069744265, + "fos_yielding": 3.566910845924499, + "deflection": 0.009468188137840968, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_1661", + "improvement_over_parent": null + }, + "node_1663": { + "node_id": "node_1663", + "content": "MODIFICATION: Increase 0 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 175.92 kg\n Factor of Safety: 1.23\n Max Deflection: 8.96e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.92421316401942, + "fos_buckling": 1.2347259364240395, + "fos_yielding": 3.5644445770636928, + "deflection": 0.008964944534587491, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.466)" + }, + "parent_node_id": "node_1662", + "improvement_over_parent": null + }, + "node_1664": { + "node_id": "node_1664", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 205.40 kg\n Factor of Safety: 1.40\n Max Deflection: 7.70e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.39754751601487, + "fos_buckling": 1.4046185784947975, + "fos_yielding": 4.15746016836706, + "deflection": 0.0077040646497576306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_1663", + "improvement_over_parent": null + }, + "node_1665": { + "node_id": "node_1665", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63901219940615, + "fos_buckling": 1.5259789862535011, + "fos_yielding": 4.604185040204009, + "deflection": 0.00696872710702257, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_1664", + "improvement_over_parent": null + }, + "node_1666": { + "node_id": "node_1666", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1665", + "improvement_over_parent": null + }, + "node_1667": { + "node_id": "node_1667", + "content": "INITIAL DESIGN (Trace 240)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 119.00 kg\n Factor of Safety: 1.26\n Max Deflection: 2.06e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.99639285853338, + "fos_buckling": 1.2623223458544905, + "fos_yielding": 3.8452835031383428, + "deflection": 20648684333967.207, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1668": { + "node_id": "node_1668", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n\nPerformance:\n Mass: 148.23 kg\n Factor of Safety: 0.75\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": 148.22699593993212, + "fos_buckling": 0.7474185225468606, + "fos_yielding": 4.645616232778653, + "deflection": 0.01269694338723132, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007232)" + }, + "parent_node_id": "node_1667", + "improvement_over_parent": null + }, + "node_1669": { + "node_id": "node_1669", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 164.40 kg\n Factor of Safety: 0.82\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": 164.40079903784647, + "fos_buckling": 0.8176403806165351, + "fos_yielding": 5.147700542180354, + "deflection": 0.011472969652351853, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_1668", + "improvement_over_parent": null + }, + "node_1670": { + "node_id": "node_1670", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 190.02 kg\n Factor of Safety: 0.81\n Max Deflection: 9.49e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.01732794714107, + "fos_buckling": 0.8148946411689457, + "fos_yielding": 5.147700542180354, + "deflection": 0.009485854710148687, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_1669", + "improvement_over_parent": null + }, + "node_1671": { + "node_id": "node_1671", + "content": "MODIFICATION: Increase 8 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0128)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 206.16 kg\n Factor of Safety: 0.81\n Max Deflection: 9.14e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.1599391629266, + "fos_buckling": 0.8131738273336464, + "fos_yielding": 5.1477005421803534, + "deflection": 0.009135002031643023, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.582)" + }, + "parent_node_id": "node_1670", + "improvement_over_parent": null + }, + "node_1672": { + "node_id": "node_1672", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0128)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.82 kg\n Factor of Safety: 1.22\n Max Deflection: 7.16e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.81923543977405, + "fos_buckling": 1.2216779213957618, + "fos_yielding": 4.618184458009334, + "deflection": 0.0071569264543415185, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_1671", + "improvement_over_parent": null + }, + "node_1673": { + "node_id": "node_1673", + "content": "MODIFICATION: Increase 10 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0128)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0089)]\n\nPerformance:\n Mass: 233.75 kg\n Factor of Safety: 1.25\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.75250576679585, + "fos_buckling": 1.2509084015371437, + "fos_yielding": 4.593541353192667, + "deflection": 0.007066840221453984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.311)" + }, + "parent_node_id": "node_1672", + "improvement_over_parent": null + }, + "node_1674": { + "node_id": "node_1674", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1673", + "improvement_over_parent": null + }, + "node_1675": { + "node_id": "node_1675", + "content": "INITIAL DESIGN (Trace 241)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0039)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 206.02 kg\n Factor of Safety: 1.34\n Max Deflection: 8.11e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.01957169700714, + "fos_buckling": 1.3394281638989252, + "fos_yielding": 4.4749526525823, + "deflection": 0.008114104387531034, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1676": { + "node_id": "node_1676", + "content": "MODIFICATION: Increase 1 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 214.27 kg\n Factor of Safety: 1.51\n Max Deflection: 7.56e-03 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 214.2707021197261, + "fos_buckling": 1.509155886261137, + "fos_yielding": 4.569494807373341, + "deflection": 0.0075553634550616445, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.600)" + }, + "parent_node_id": "node_1675", + "improvement_over_parent": null + }, + "node_1677": { + "node_id": "node_1677", + "content": "MODIFICATION: Increase 0 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 222.41 kg\n Factor of Safety: 1.53\n Max Deflection: 7.18e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 222.40952271182155, + "fos_buckling": 1.5260364344751765, + "fos_yielding": 4.566423365489408, + "deflection": 0.007184880545115852, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.451)" + }, + "parent_node_id": "node_1676", + "improvement_over_parent": null + }, + "node_1678": { + "node_id": "node_1678", + "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.65 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.65305280964358, + "fos_buckling": 1.525810236107575, + "fos_yielding": 4.604295608706505, + "deflection": 0.006968236458877579, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.250)" + }, + "parent_node_id": "node_1677", + "improvement_over_parent": null + }, + "node_1679": { + "node_id": "node_1679", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1678", + "improvement_over_parent": null + }, + "node_1680": { + "node_id": "node_1680", + "content": "INITIAL DESIGN (Trace 242)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n\nPerformance:\n Mass: 126.79 kg\n Factor of Safety: 0.33\n Max Deflection: 6.00e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.79188957064446, + "fos_buckling": 0.32576975646075024, + "fos_yielding": 3.0353033325305194, + "deflection": 60049138529337.9, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1681": { + "node_id": "node_1681", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n\nPerformance:\n Mass: 140.55 kg\n Factor of Safety: 1.57\n Max Deflection: 1.25e+13 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 140.55472904518575, + "fos_buckling": 1.5727850447591214, + "fos_yielding": 4.262443185308172, + "deflection": 12541556811801.312, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_1680", + "improvement_over_parent": null + }, + "node_1682": { + "node_id": "node_1682", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 167.71 kg\n Factor of Safety: 0.86\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": 167.71357955829575, + "fos_buckling": 0.8615743947295972, + "fos_yielding": 4.262443185308172, + "deflection": 0.010474326589861842, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006633)" + }, + "parent_node_id": "node_1681", + "improvement_over_parent": null + }, + "node_1683": { + "node_id": "node_1683", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 202.38 kg\n Factor of Safety: 1.00\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.3833810753905, + "fos_buckling": 1.0041025371736865, + "fos_yielding": 5.141531743778626, + "deflection": 0.008716664008517925, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1682", + "improvement_over_parent": null + }, + "node_1684": { + "node_id": "node_1684", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.50 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.50267605289145, + "fos_buckling": 1.5258065574470667, + "fos_yielding": 4.600823184182202, + "deflection": 0.006972993255712923, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_1683", + "improvement_over_parent": null + }, + "node_1685": { + "node_id": "node_1685", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1684", + "improvement_over_parent": null + }, + "node_1686": { + "node_id": "node_1686", + "content": "INITIAL DESIGN (Trace 243)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n\nPerformance:\n Mass: 99.26 kg\n Factor of Safety: 1.17\n Max Deflection: 3.04e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 99.25777267828916, + "fos_buckling": 1.1678958290738188, + "fos_yielding": 1.827437670210952, + "deflection": 30444908798635.88, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1687": { + "node_id": "node_1687", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n\nPerformance:\n Mass: 110.00 kg\n Factor of Safety: 0.32\n Max Deflection: 2.23e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.00007406529626, + "fos_buckling": 0.32395384600192967, + "fos_yielding": 1.902734380665225, + "deflection": 0.02232968623935197, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003227)" + }, + "parent_node_id": "node_1686", + "improvement_over_parent": null + }, + "node_1688": { + "node_id": "node_1688", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n Mass: 132.25 kg\n Factor of Safety: 0.71\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.2534786624838, + "fos_buckling": 0.7107620726959508, + "fos_yielding": 2.298475888892284, + "deflection": 0.013277285378076886, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005360)" + }, + "parent_node_id": "node_1687", + "improvement_over_parent": null + }, + "node_1689": { + "node_id": "node_1689", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n\nPerformance:\n Mass: 149.65 kg\n Factor of Safety: 0.90\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": 149.64715314560652, + "fos_buckling": 0.9010336154227184, + "fos_yielding": 2.306347738784294, + "deflection": 0.010550696518694794, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004739)" + }, + "parent_node_id": "node_1688", + "improvement_over_parent": null + }, + "node_1690": { + "node_id": "node_1690", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n Mass: 180.57 kg\n Factor of Safety: 1.07\n Max Deflection: 8.77e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.5728744964158, + "fos_buckling": 1.0711650825234347, + "fos_yielding": 2.7896602594098887, + "deflection": 0.00877332042322948, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_1689", + "improvement_over_parent": null + }, + "node_1691": { + "node_id": "node_1691", + "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0057)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n Mass: 181.83 kg\n Factor of Safety: 1.07\n Max Deflection: 8.69e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.83296827056705, + "fos_buckling": 1.071315052672152, + "fos_yielding": 2.790050830173257, + "deflection": 0.008687631722959886, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.391)" + }, + "parent_node_id": "node_1690", + "improvement_over_parent": null + }, + "node_1692": { + "node_id": "node_1692", + "content": "MODIFICATION: Increase 6 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0057)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0091)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n Mass: 191.45 kg\n Factor of Safety: 1.07\n Max Deflection: 8.34e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.4465111140525, + "fos_buckling": 1.070738630381123, + "fos_yielding": 2.7885496401287373, + "deflection": 0.008336503681387985, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.403)" + }, + "parent_node_id": "node_1691", + "improvement_over_parent": null + }, + "node_1693": { + "node_id": "node_1693", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0071)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0113)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 233.35 kg\n Factor of Safety: 1.28\n Max Deflection: 6.87e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.35064712187702, + "fos_buckling": 1.2818886056230352, + "fos_yielding": 3.4160775447651934, + "deflection": 0.006867095292743084, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_1692", + "improvement_over_parent": null + }, + "node_1694": { + "node_id": "node_1694", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1693", + "improvement_over_parent": null + }, + "node_1695": { + "node_id": "node_1695", + "content": "INITIAL DESIGN (Trace 244)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 134.54 kg\n Factor of Safety: 0.38\n Max Deflection: 2.75e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.53933929773706, + "fos_buckling": 0.376712989624722, + "fos_yielding": 3.089860962475446, + "deflection": 27513121386709.594, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1696": { + "node_id": "node_1696", + "content": "MODIFICATION: Increase 6 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 138.06 kg\n Factor of Safety: 0.30\n Max Deflection: 1.74e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.06328387009958, + "fos_buckling": 0.3013703916997776, + "fos_yielding": 3.695837045011561, + "deflection": 17411012510534.195, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.297)" + }, + "parent_node_id": "node_1695", + "improvement_over_parent": null + }, + "node_1697": { + "node_id": "node_1697", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 165.42 kg\n Factor of Safety: 0.18\n Max Deflection: 5.44e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.42370053041165, + "fos_buckling": 0.1829131209656112, + "fos_yielding": 2.560357995514863, + "deflection": 54351833414900.58, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_1696", + "improvement_over_parent": null + }, + "node_1698": { + "node_id": "node_1698", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 197.82 kg\n Factor of Safety: 1.01\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": 197.81732017052994, + "fos_buckling": 1.005322830589579, + "fos_yielding": 5.1475668167392445, + "deflection": 0.010566999119563466, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_1697", + "improvement_over_parent": null + }, + "node_1699": { + "node_id": "node_1699", + "content": "MODIFICATION: Increase 7 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0108)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 207.38 kg\n Factor of Safety: 1.01\n Max Deflection: 9.95e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.38346025821278, + "fos_buckling": 1.007197094381152, + "fos_yielding": 5.1475668167392445, + "deflection": 0.009950979089276477, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.332)" + }, + "parent_node_id": "node_1698", + "improvement_over_parent": null + }, + "node_1700": { + "node_id": "node_1700", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0108)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 229.04 kg\n Factor of Safety: 1.02\n Max Deflection: 9.97e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.04275653506022, + "fos_buckling": 1.0244011840551204, + "fos_yielding": 5.170928640097451, + "deflection": 0.009966286106789585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_1699", + "improvement_over_parent": null + }, + "node_1701": { + "node_id": "node_1701", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0108)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 231.43 kg\n Factor of Safety: 1.53\n Max Deflection: 6.82e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 231.42743884664637, + "fos_buckling": 1.5322542615711405, + "fos_yielding": 4.689749616054346, + "deflection": 0.006821912599144992, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_1700", + "improvement_over_parent": null + }, + "node_1702": { + "node_id": "node_1702", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1701", + "improvement_over_parent": null + }, + "node_1703": { + "node_id": "node_1703", + "content": "INITIAL DESIGN (Trace 245)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 166.04 kg\n Factor of Safety: 0.86\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": 166.04253837038485, + "fos_buckling": 0.8599191494185334, + "fos_yielding": 3.941748344949767, + "deflection": 0.010534198383273064, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1704": { + "node_id": "node_1704", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 195.60 kg\n Factor of Safety: 0.98\n Max Deflection: 8.98e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.59925930025227, + "fos_buckling": 0.9820833627466645, + "fos_yielding": 4.636256735643175, + "deflection": 0.008975652759017428, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_1703", + "improvement_over_parent": null + }, + "node_1705": { + "node_id": "node_1705", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 221.22 kg\n Factor of Safety: 1.46\n Max Deflection: 7.12e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.21578820954687, + "fos_buckling": 1.4595093397766872, + "fos_yielding": 4.6515346528864, + "deflection": 0.007118688033841629, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_1704", + "improvement_over_parent": null + }, + "node_1706": { + "node_id": "node_1706", + "content": "MODIFICATION: Increase 9 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0113)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 232.19 kg\n Factor of Safety: 1.53\n Max Deflection: 6.80e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 232.19469696733833, + "fos_buckling": 1.5331229173138141, + "fos_yielding": 4.7012433449977555, + "deflection": 0.006803994284927217, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.383)" + }, + "parent_node_id": "node_1705", + "improvement_over_parent": null + }, + "node_1707": { + "node_id": "node_1707", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1706", + "improvement_over_parent": null + }, + "node_1708": { + "node_id": "node_1708", + "content": "INITIAL DESIGN (Trace 246)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 138.51 kg\n Factor of Safety: 0.73\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": 138.5108882263146, + "fos_buckling": 0.7331641899561613, + "fos_yielding": 3.239696531936476, + "deflection": 0.013955662602541012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1709": { + "node_id": "node_1709", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n\nPerformance:\n Mass: 154.06 kg\n Factor of Safety: 1.01\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": 154.05836181491898, + "fos_buckling": 1.0097362324342078, + "fos_yielding": 3.2578564220491204, + "deflection": 0.010483370077137321, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004711)" + }, + "parent_node_id": "node_1708", + "improvement_over_parent": null + }, + "node_1710": { + "node_id": "node_1710", + "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n\nPerformance:\n Mass: 155.16 kg\n Factor of Safety: 0.99\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": 155.16112634819842, + "fos_buckling": 0.9910874648777945, + "fos_yielding": 3.7155860942184766, + "deflection": 0.010383151391407447, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.339)" + }, + "parent_node_id": "node_1709", + "improvement_over_parent": null + }, + "node_1711": { + "node_id": "node_1711", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0060)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n\nPerformance:\n Mass: 181.56 kg\n Factor of Safety: 1.15\n Max Deflection: 8.90e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.5647083111969, + "fos_buckling": 1.1461135390968729, + "fos_yielding": 4.3422083023376645, + "deflection": 0.008895814116256449, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_1710", + "improvement_over_parent": null + }, + "node_1712": { + "node_id": "node_1712", + "content": "MODIFICATION: Increase 0 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0060)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n\nPerformance:\n Mass: 188.23 kg\n Factor of Safety: 1.22\n Max Deflection: 8.44e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.23062770816844, + "fos_buckling": 1.2249780615571224, + "fos_yielding": 4.4251520419957195, + "deflection": 0.008437746574098142, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.439)" + }, + "parent_node_id": "node_1711", + "improvement_over_parent": null + }, + "node_1713": { + "node_id": "node_1713", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0074)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 228.65 kg\n Factor of Safety: 1.46\n Max Deflection: 6.98e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.64777292974284, + "fos_buckling": 1.4616580418108243, + "fos_yielding": 5.365897059926094, + "deflection": 0.006976304374706494, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 247)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 102.42 kg\n Factor of Safety: 1.45\n Max Deflection: 1.79e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 102.41930766777736, + "fos_buckling": 1.4452767152934802, + "fos_yielding": 3.8760619582986133, + "deflection": 17943463090980.645, + "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: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n\nPerformance:\n Mass: 127.29 kg\n Factor of Safety: 0.41\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.29342021541956, + "fos_buckling": 0.41016264366114397, + "fos_yielding": 2.966659758530177, + "deflection": 0.018560113768136835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006076)" + }, + "parent_node_id": "node_1715", + "improvement_over_parent": null + }, + "node_1717": { + "node_id": "node_1717", + "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n\nPerformance:\n Mass: 129.94 kg\n Factor of Safety: 0.48\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.94295909766865, + "fos_buckling": 0.47765070790201086, + "fos_yielding": 2.9658857635918476, + "deflection": 0.017754461248393725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.203)" + }, + "parent_node_id": "node_1716", + "improvement_over_parent": null + }, + "node_1718": { + "node_id": "node_1718", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n\nPerformance:\n Mass: 149.61 kg\n Factor of Safety: 0.48\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.61238765085983, + "fos_buckling": 0.4764127891730044, + "fos_yielding": 2.9639721920857816, + "deflection": 0.015671831351415807, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005403)" + }, + "parent_node_id": "node_1717", + "improvement_over_parent": null + }, + "node_1719": { + "node_id": "node_1719", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 194.87 kg\n Factor of Safety: 0.59\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.86782224975022, + "fos_buckling": 0.5921923335629005, + "fos_yielding": 3.8519685514467157, + "deflection": 0.012092822648984383, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_1718", + "improvement_over_parent": null + }, + "node_1720": { + "node_id": "node_1720", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.65 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.64541699263572, + "fos_buckling": 1.5259143087993412, + "fos_yielding": 4.604872851761473, + "deflection": 0.006968471960605765, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_1719", + "improvement_over_parent": null + }, + "node_1721": { + "node_id": "node_1721", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1720", + "improvement_over_parent": null + }, + "node_1722": { + "node_id": "node_1722", + "content": "INITIAL DESIGN (Trace 248)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 148.39 kg\n Factor of Safety: 0.54\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": 148.39091849636947, + "fos_buckling": 0.543670307785483, + "fos_yielding": 3.57710371921476, + "deflection": 0.01319758403365041, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1723": { + "node_id": "node_1723", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 190.74 kg\n Factor of Safety: 0.68\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": 190.7446106345437, + "fos_buckling": 0.6829296444476938, + "fos_yielding": 4.586620735314842, + "deflection": 0.01029405671736682, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_1722", + "improvement_over_parent": null + }, + "node_1724": { + "node_id": "node_1724", + "content": "MODIFICATION: Increase 7 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 201.90 kg\n Factor of Safety: 0.98\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": 201.90145086487667, + "fos_buckling": 0.9799865268085681, + "fos_yielding": 4.585803092456195, + "deflection": 0.008823215695064479, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.577)" + }, + "parent_node_id": "node_1723", + "improvement_over_parent": null + }, + "node_1725": { + "node_id": "node_1725", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n Mass: 222.85 kg\n Factor of Safety: 1.48\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": 222.85206403207934, + "fos_buckling": 1.4793588740450332, + "fos_yielding": 4.601511582293345, + "deflection": 0.007077357797176711, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005782)" + }, + "parent_node_id": "node_1724", + "improvement_over_parent": null + }, + "node_1726": { + "node_id": "node_1726", + "content": "MODIFICATION: Increase 8 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0089)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n Mass: 228.29 kg\n Factor of Safety: 1.48\n Max Deflection: 6.99e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.28568255426828, + "fos_buckling": 1.4770462585423942, + "fos_yielding": 4.5743425205685595, + "deflection": 0.006988388244148506, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.244)" + }, + "parent_node_id": "node_1725", + "improvement_over_parent": null + }, + "node_1727": { + "node_id": "node_1727", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1726", + "improvement_over_parent": null + }, + "node_1728": { + "node_id": "node_1728", + "content": "INITIAL DESIGN (Trace 249)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n Mass: 133.44 kg\n Factor of Safety: 0.37\n Max Deflection: 5.09e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.44206641892848, + "fos_buckling": 0.3656630789151884, + "fos_yielding": 2.6783942448367517, + "deflection": 0.050907307189029825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1729": { + "node_id": "node_1729", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n\nPerformance:\n Mass: 157.61 kg\n Factor of Safety: 0.42\n Max Deflection: 4.32e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.61479065386266, + "fos_buckling": 0.42209470079396094, + "fos_yielding": 3.159844245910672, + "deflection": 0.04315478156389243, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_1728", + "improvement_over_parent": null + }, + "node_1730": { + "node_id": "node_1730", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n Mass: 159.57 kg\n Factor of Safety: 0.50\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.568170567666, + "fos_buckling": 0.5031997857148611, + "fos_yielding": 3.1594395128892705, + "deflection": 0.014708797773017668, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003048)" + }, + "parent_node_id": "node_1729", + "improvement_over_parent": null + }, + "node_1731": { + "node_id": "node_1731", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 194.74 kg\n Factor of Safety: 0.59\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": 194.7367140544111, + "fos_buckling": 0.5921075358533704, + "fos_yielding": 3.8491362406093446, + "deflection": 0.012099573758980813, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_1730", + "improvement_over_parent": null + }, + "node_1732": { + "node_id": "node_1732", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.51 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5143087972966, + "fos_buckling": 1.5258183099884457, + "fos_yielding": 4.601549151960137, + "deflection": 0.006972382400368688, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_1731", + "improvement_over_parent": null + }, + "node_1733": { + "node_id": "node_1733", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1732", + "improvement_over_parent": null + }, + "node_1734": { + "node_id": "node_1734", + "content": "INITIAL DESIGN (Trace 250)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 154.95 kg\n Factor of Safety: 0.83\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": 154.9516615714543, + "fos_buckling": 0.8308165370367806, + "fos_yielding": 4.079371549298963, + "deflection": 0.011489318496605299, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1735": { + "node_id": "node_1735", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n\nPerformance:\n Mass: 172.12 kg\n Factor of Safety: 0.98\n Max Deflection: 9.46e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.12032399209806, + "fos_buckling": 0.9840063377366662, + "fos_yielding": 3.6733384521846264, + "deflection": 0.009462691976414963, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005297)" + }, + "parent_node_id": "node_1734", + "improvement_over_parent": null + }, + "node_1736": { + "node_id": "node_1736", + "content": "MODIFICATION: Increase 5 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0068)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n\nPerformance:\n Mass: 174.20 kg\n Factor of Safety: 0.96\n Max Deflection: 9.34e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.1965505823695, + "fos_buckling": 0.9581154172947285, + "fos_yielding": 4.180914198206776, + "deflection": 0.009336604824029456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.585)" + }, + "parent_node_id": "node_1735", + "improvement_over_parent": null + }, + "node_1737": { + "node_id": "node_1737", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0087)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 219.80 kg\n Factor of Safety: 1.19\n Max Deflection: 7.43e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.79885336096925, + "fos_buckling": 1.1926468016408351, + "fos_yielding": 5.264084016121689, + "deflection": 0.0074286779943812204, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_1736", + "improvement_over_parent": null + }, + "node_1738": { + "node_id": "node_1738", + "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0087)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0105)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 229.87 kg\n Factor of Safety: 1.15\n Max Deflection: 7.25e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.8689139905551, + "fos_buckling": 1.1492999049132453, + "fos_yielding": 5.195606108377653, + "deflection": 0.007247440877675412, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.453)" + }, + "parent_node_id": "node_1737", + "improvement_over_parent": null + }, + "node_1739": { + "node_id": "node_1739", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1738", + "improvement_over_parent": null + }, + "node_1740": { + "node_id": "node_1740", + "content": "INITIAL DESIGN (Trace 251)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 173.85 kg\n Factor of Safety: 0.98\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": 173.84574968354755, + "fos_buckling": 0.984569946753499, + "fos_yielding": 5.145326395534688, + "deflection": 0.011490705316360029, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1741": { + "node_id": "node_1741", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 198.97 kg\n Factor of Safety: 0.98\n Max Deflection: 9.61e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.9650446610485, + "fos_buckling": 0.9813316129587288, + "fos_yielding": 4.587765251844623, + "deflection": 0.009605100763951333, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_1740", + "improvement_over_parent": null + }, + "node_1742": { + "node_id": "node_1742", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 221.06 kg\n Factor of Safety: 1.52\n Max Deflection: 7.25e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 221.0561927897088, + "fos_buckling": 1.5238327499303057, + "fos_yielding": 4.606660357915198, + "deflection": 0.0072510950386298, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_1741", + "improvement_over_parent": null + }, + "node_1743": { + "node_id": "node_1743", + "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.65 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.65082077376587, + "fos_buckling": 1.5259959594511958, + "fos_yielding": 4.6041852301525665, + "deflection": 0.0069683628605713074, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.339)" + }, + "parent_node_id": "node_1742", + "improvement_over_parent": null + }, + "node_1744": { + "node_id": "node_1744", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1743", + "improvement_over_parent": null + }, + "node_1745": { + "node_id": "node_1745", + "content": "INITIAL DESIGN (Trace 252)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 169.38 kg\n Factor of Safety: 0.91\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": 169.3782162789596, + "fos_buckling": 0.9138392518972427, + "fos_yielding": 3.166135498479809, + "deflection": 0.010301719198594008, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1746": { + "node_id": "node_1746", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 190.77 kg\n Factor of Safety: 1.01\n Max Deflection: 9.17e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.76521346741183, + "fos_buckling": 1.0055773385142326, + "fos_yielding": 3.5745499324037335, + "deflection": 0.009170328991434896, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_1745", + "improvement_over_parent": null + }, + "node_1747": { + "node_id": "node_1747", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 215.88 kg\n Factor of Safety: 1.18\n Max Deflection: 7.42e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.88450844491277, + "fos_buckling": 1.1847174514873546, + "fos_yielding": 3.589007874634464, + "deflection": 0.007422355321233596, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_1746", + "improvement_over_parent": null + }, + "node_1748": { + "node_id": "node_1748", + "content": "MODIFICATION: Increase 8 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 222.12 kg\n Factor of Safety: 1.17\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": 222.11870139312478, + "fos_buckling": 1.1705772670197114, + "fos_yielding": 3.5461713034845723, + "deflection": 0.007270709971927646, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.353)" + }, + "parent_node_id": "node_1747", + "improvement_over_parent": null + }, + "node_1749": { + "node_id": "node_1749", + "content": "MODIFICATION: Increase 4 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 223.60 kg\n Factor of Safety: 1.52\n Max Deflection: 7.13e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 223.59655991769407, + "fos_buckling": 1.524858766979639, + "fos_yielding": 4.605750600288386, + "deflection": 0.007127687682193415, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.560)" + }, + "parent_node_id": "node_1748", + "improvement_over_parent": null + }, + "node_1750": { + "node_id": "node_1750", + "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.64171835368873, + "fos_buckling": 1.5260244894846344, + "fos_yielding": 4.604328959439715, + "deflection": 0.0069686874224140815, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.186)" + }, + "parent_node_id": "node_1749", + "improvement_over_parent": null + }, + "node_1751": { + "node_id": "node_1751", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1750", + "improvement_over_parent": null + }, + "node_1752": { + "node_id": "node_1752", + "content": "INITIAL DESIGN (Trace 253)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 154.88 kg\n Factor of Safety: 0.84\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": 154.8795643457777, + "fos_buckling": 0.8396796905551211, + "fos_yielding": 4.131171359694684, + "deflection": 0.011341377284813563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1753": { + "node_id": "node_1753", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 193.24 kg\n Factor of Safety: 1.01\n Max Deflection: 9.13e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.23934381692868, + "fos_buckling": 1.0059194795296391, + "fos_yielding": 5.148424810221687, + "deflection": 0.009130262176486463, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_1752", + "improvement_over_parent": null + }, + "node_1754": { + "node_id": "node_1754", + "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 202.63 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.6279173117563, + "fos_buckling": 1.0046834682962857, + "fos_yielding": 5.148424810221687, + "deflection": 0.008707166391833613, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.555)" + }, + "parent_node_id": "node_1753", + "improvement_over_parent": null + }, + "node_1755": { + "node_id": "node_1755", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.75 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.74721228925725, + "fos_buckling": 1.5265897372177417, + "fos_yielding": 4.607037497275497, + "deflection": 0.006965429942357687, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 254)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n Mass: 136.07 kg\n Factor of Safety: 0.77\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": 136.07468970166474, + "fos_buckling": 0.7682645083529405, + "fos_yielding": 2.5108311625670714, + "deflection": 0.014500310288968941, + "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 2 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n Mass: 139.77 kg\n Factor of Safety: 0.77\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.76789747672285, + "fos_buckling": 0.7678830299084941, + "fos_yielding": 2.5108311625670714, + "deflection": 0.01450744638887683, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.319)" + }, + "parent_node_id": "node_1757", + "improvement_over_parent": null + }, + "node_1759": { + "node_id": "node_1759", + "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n Mass: 140.97 kg\n Factor of Safety: 0.77\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.9697678461333, + "fos_buckling": 0.7678830299084941, + "fos_yielding": 3.7406566357435933, + "deflection": 0.01450744638887683, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.522)" + }, + "parent_node_id": "node_1758", + "improvement_over_parent": null + }, + "node_1760": { + "node_id": "node_1760", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 157.91 kg\n Factor of Safety: 0.85\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.9115074444282, + "fos_buckling": 0.8471759436349606, + "fos_yielding": 4.188086752941951, + "deflection": 0.012967521423061814, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_1759", + "improvement_over_parent": null + }, + "node_1761": { + "node_id": "node_1761", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n\nPerformance:\n Mass: 175.52 kg\n Factor of Safety: 0.84\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.51972643492223, + "fos_buckling": 0.8415057133227517, + "fos_yielding": 4.17572012568405, + "deflection": 0.012998231815045733, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005443)" + }, + "parent_node_id": "node_1760", + "improvement_over_parent": null + }, + "node_1762": { + "node_id": "node_1762", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 216.08 kg\n Factor of Safety: 1.00\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.07878622808525, + "fos_buckling": 0.9986781158423509, + "fos_yielding": 5.129030978692488, + "deflection": 0.010592876630577277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_1761", + "improvement_over_parent": null + }, + "node_1763": { + "node_id": "node_1763", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 218.46 kg\n Factor of Safety: 1.42\n Max Deflection: 7.21e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.4634685396714, + "fos_buckling": 1.4217918719695775, + "fos_yielding": 4.608391362372005, + "deflection": 0.0072112490122457, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_1762", + "improvement_over_parent": null + }, + "node_1764": { + "node_id": "node_1764", + "content": "MODIFICATION: Increase 8 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0132)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 235.88 kg\n Factor of Safety: 1.42\n Max Deflection: 6.81e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.87954556250818, + "fos_buckling": 1.4222723197812006, + "fos_yielding": 4.681001214969482, + "deflection": 0.006813059089225883, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.623)" + }, + "parent_node_id": "node_1763", + "improvement_over_parent": null + }, + "node_1765": { + "node_id": "node_1765", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1764", + "improvement_over_parent": null + }, + "node_1766": { + "node_id": "node_1766", + "content": "INITIAL DESIGN (Trace 255)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1767": { + "node_id": "node_1767", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 169.35 kg\n Factor of Safety: 0.86\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": 169.3538878115918, + "fos_buckling": 0.8557280077747632, + "fos_yielding": 4.231350386965634, + "deflection": 0.010551857848491988, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005758)" + }, + "parent_node_id": "node_1766", + "improvement_over_parent": null + }, + "node_1768": { + "node_id": "node_1768", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 206.06 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.05707079102862, + "fos_buckling": 1.00408854728532, + "fos_yielding": 5.145969997801292, + "deflection": 0.008710906148584772, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_1767", + "improvement_over_parent": null + }, + "node_1769": { + "node_id": "node_1769", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.72 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.71636706787604, + "fos_buckling": 1.5263872055984453, + "fos_yielding": 4.606229362044431, + "deflection": 0.0069663402394138235, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 256)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 115.91 kg\n Factor of Safety: 0.37\n Max Deflection: 5.68e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.91356743933403, + "fos_buckling": 0.36537133866530186, + "fos_yielding": 2.541370117749544, + "deflection": 56790464277985.04, + "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 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 147.93 kg\n Factor of Safety: 1.12\n Max Deflection: 9.60e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.92878817853082, + "fos_buckling": 1.1171461804477827, + "fos_yielding": 2.911425203999331, + "deflection": 9599161003499.678, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_1771", + "improvement_over_parent": null + }, + "node_1773": { + "node_id": "node_1773", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n Mass: 176.43 kg\n Factor of Safety: 0.88\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": 176.43294371444767, + "fos_buckling": 0.8845349023947537, + "fos_yielding": 2.7780206349355088, + "deflection": 0.010155156757336265, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007037)" + }, + "parent_node_id": "node_1772", + "improvement_over_parent": null + }, + "node_1774": { + "node_id": "node_1774", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n\nPerformance:\n Mass: 198.97 kg\n Factor of Safety: 1.07\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": 198.97434079184586, + "fos_buckling": 1.0698275168685294, + "fos_yielding": 2.7881067411380225, + "deflection": 0.00805324220994192, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006258)" + }, + "parent_node_id": "node_1773", + "improvement_over_parent": null + }, + "node_1775": { + "node_id": "node_1775", + "content": "MODIFICATION: Increase 6 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n\nPerformance:\n Mass: 200.38 kg\n Factor of Safety: 1.38\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": 200.38478123307786, + "fos_buckling": 1.3766519276692826, + "fos_yielding": 4.05712746920891, + "deflection": 0.007892299271649073, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.506)" + }, + "parent_node_id": "node_1774", + "improvement_over_parent": null + }, + "node_1776": { + "node_id": "node_1776", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.56 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5604310365123, + "fos_buckling": 1.5257683403343503, + "fos_yielding": 4.603102765435821, + "deflection": 0.006971040928385712, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_1775", + "improvement_over_parent": null + }, + "node_1777": { + "node_id": "node_1777", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1776", + "improvement_over_parent": null + }, + "node_1778": { + "node_id": "node_1778", + "content": "INITIAL DESIGN (Trace 257)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 162.23 kg\n Factor of Safety: 0.62\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.23272254983294, + "fos_buckling": 0.6187435913403114, + "fos_yielding": 4.270531261806707, + "deflection": 0.014532729457298655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1779": { + "node_id": "node_1779", + "content": "MODIFICATION: Increase 9 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 173.45 kg\n Factor of Safety: 0.62\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.44853948961799, + "fos_buckling": 0.6178318688554338, + "fos_yielding": 4.268532686889152, + "deflection": 0.014034299969550851, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.570)" + }, + "parent_node_id": "node_1778", + "improvement_over_parent": null + }, + "node_1780": { + "node_id": "node_1780", + "content": "MODIFICATION: Increase 0 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 181.72 kg\n Factor of Safety: 0.62\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.72238209128705, + "fos_buckling": 0.6171610167608412, + "fos_yielding": 4.267059548410966, + "deflection": 0.014047178799517755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.462)" + }, + "parent_node_id": "node_1779", + "improvement_over_parent": null + }, + "node_1781": { + "node_id": "node_1781", + "content": "MODIFICATION: Increase 7 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 190.86 kg\n Factor of Safety: 0.62\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": 190.8593991827026, + "fos_buckling": 0.6164218682712199, + "fos_yielding": 4.262186330507744, + "deflection": 0.01208758197957086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.608)" + }, + "parent_node_id": "node_1780", + "improvement_over_parent": null + }, + "node_1782": { + "node_id": "node_1782", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 223.25 kg\n Factor of Safety: 1.53\n Max Deflection: 7.14e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 223.25301882282088, + "fos_buckling": 1.5265174323773663, + "fos_yielding": 4.5734866749685015, + "deflection": 0.007144913530176166, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_1781", + "improvement_over_parent": null + }, + "node_1783": { + "node_id": "node_1783", + "content": "MODIFICATION: Increase 1 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6449188470586, + "fos_buckling": 1.526258402445531, + "fos_yielding": 4.604380493715285, + "deflection": 0.006968496370290729, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.202)" + }, + "parent_node_id": "node_1782", + "improvement_over_parent": null + }, + "node_1784": { + "node_id": "node_1784", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1783", + "improvement_over_parent": null + }, + "node_1785": { + "node_id": "node_1785", + "content": "INITIAL DESIGN (Trace 258)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n Mass: 148.86 kg\n Factor of Safety: 0.77\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": 148.85620591597123, + "fos_buckling": 0.7681186028182293, + "fos_yielding": 2.2076347571001302, + "deflection": 0.012023451890214166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1786": { + "node_id": "node_1786", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 181.08 kg\n Factor of Safety: 0.90\n Max Deflection: 9.92e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.07517784862452, + "fos_buckling": 0.9046438892996828, + "fos_yielding": 2.69772315819407, + "deflection": 0.00992025532945821, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_1785", + "improvement_over_parent": null + }, + "node_1787": { + "node_id": "node_1787", + "content": "MODIFICATION: Increase 6 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 182.70 kg\n Factor of Safety: 0.90\n Max Deflection: 9.73e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.70128670393674, + "fos_buckling": 0.9046438892996826, + "fos_yielding": 4.1553049145083, + "deflection": 0.009726601520668322, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.603)" + }, + "parent_node_id": "node_1786", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n\nPerformance:\n Mass: 201.69 kg\n Factor of Safety: 1.37\n Max Deflection: 7.80e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.69283601778315, + "fos_buckling": 1.3658160343990344, + "fos_yielding": 4.169657758702745, + "deflection": 0.007801132738457396, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005204)" + }, + "parent_node_id": "node_1787", + "improvement_over_parent": null + }, + "node_1789": { + "node_id": "node_1789", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n Mass: 223.02 kg\n Factor of Safety: 1.48\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": 223.02322775026497, + "fos_buckling": 1.4812814889143038, + "fos_yielding": 4.606398687619207, + "deflection": 0.007072247025949724, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_1788", + "improvement_over_parent": null + }, + "node_1790": { + "node_id": "node_1790", + "content": "MODIFICATION: Increase 8 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0088)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n Mass: 228.35 kg\n Factor of Safety: 1.48\n Max Deflection: 6.98e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.34948294819262, + "fos_buckling": 1.4790057108470283, + "fos_yielding": 4.579673482329324, + "deflection": 0.00698482641903503, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.239)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 259)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 143.54 kg\n Factor of Safety: 0.84\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": 143.53832472264668, + "fos_buckling": 0.8434996207628925, + "fos_yielding": 3.9911113775813174, + "deflection": 0.012884006500022603, + "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 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 164.33 kg\n Factor of Safety: 0.84\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": 164.32931583745415, + "fos_buckling": 0.8411932967151028, + "fos_yielding": 3.8087846781202948, + "deflection": 0.01063902404680521, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005800)" + }, + "parent_node_id": "node_1792", + "improvement_over_parent": null + }, + "node_1794": { + "node_id": "node_1794", + "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 164.95 kg\n Factor of Safety: 0.84\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": 164.94916700773487, + "fos_buckling": 0.8410561761266496, + "fos_yielding": 3.802300451361911, + "deflection": 0.010604376689746791, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.493)" + }, + "parent_node_id": "node_1793", + "improvement_over_parent": null + }, + "node_1795": { + "node_id": "node_1795", + "content": "MODIFICATION: Increase 7 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 169.31 kg\n Factor of Safety: 0.84\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": 169.31412813414704, + "fos_buckling": 0.840573733537869, + "fos_yielding": 3.8019862467982932, + "deflection": 0.010609992166321441, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.279)" + }, + "parent_node_id": "node_1794", + "improvement_over_parent": null + }, + "node_1796": { + "node_id": "node_1796", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n\nPerformance:\n Mass: 187.60 kg\n Factor of Safety: 1.14\n Max Deflection: 8.48e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.59978423782573, + "fos_buckling": 1.136899652491119, + "fos_yielding": 3.429211618983904, + "deflection": 0.008478368077552513, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005605)" + }, + "parent_node_id": "node_1795", + "improvement_over_parent": null + }, + "node_1797": { + "node_id": "node_1797", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 226.73 kg\n Factor of Safety: 1.35\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.73245159714864, + "fos_buckling": 1.3456594663524795, + "fos_yielding": 4.154526194622311, + "deflection": 0.0070448473836763215, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_1796", + "improvement_over_parent": null + }, + "node_1798": { + "node_id": "node_1798", + "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0050)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.41 kg\n Factor of Safety: 1.34\n Max Deflection: 6.99e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.4141465107888, + "fos_buckling": 1.3426963721853487, + "fos_yielding": 4.145378076066103, + "deflection": 0.006987811142178499, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.325)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 260)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\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_1801": { + "node_id": "node_1801", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n\nPerformance:\n Mass: 152.53 kg\n Factor of Safety: 0.13\n Max Deflection: 9.71e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.52570107256034, + "fos_buckling": 0.13039858713444544, + "fos_yielding": 1.2801789977574314, + "deflection": 97126941542181.22, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005512)" + }, + "parent_node_id": "node_1800", + "improvement_over_parent": null + }, + "node_1802": { + "node_id": "node_1802", + "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n\nPerformance:\n Mass: 160.05 kg\n Factor of Safety: 0.13\n Max Deflection: 4.33e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.05436141989983, + "fos_buckling": 0.13039858713444544, + "fos_yielding": 1.8840138353034528, + "deflection": 43266492510369.68, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.567)" + }, + "parent_node_id": "node_1801", + "improvement_over_parent": null + }, + "node_1803": { + "node_id": "node_1803", + "content": "MODIFICATION: Increase 5 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0106)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n\nPerformance:\n Mass: 170.44 kg\n Factor of Safety: 0.17\n Max Deflection: 1.77e+14 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.44273463080484, + "fos_buckling": 0.1698773896416104, + "fos_yielding": 1.6699184661133977, + "deflection": 176795521533878.9, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.468)" + }, + "parent_node_id": "node_1802", + "improvement_over_parent": null + }, + "node_1804": { + "node_id": "node_1804", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0106)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 192.10 kg\n Factor of Safety: 0.37\n Max Deflection: 3.90e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.10203090765225, + "fos_buckling": 0.3685101967455662, + "fos_yielding": 3.851955019710501, + "deflection": 0.03899401156242395, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_1803", + "improvement_over_parent": null + }, + "node_1805": { + "node_id": "node_1805", + "content": "MODIFICATION: Increase 4 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0074)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0106)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 193.66 kg\n Factor of Safety: 0.37\n Max Deflection: 3.88e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.65903686527918, + "fos_buckling": 0.3685101967455662, + "fos_yielding": 3.9947436876576785, + "deflection": 0.03877503868827837, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.353)" + }, + "parent_node_id": "node_1804", + "improvement_over_parent": null + }, + "node_1806": { + "node_id": "node_1806", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0074)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0106)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 196.04 kg\n Factor of Safety: 0.59\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.04371917686532, + "fos_buckling": 0.5922973411840493, + "fos_yielding": 3.9729159005783643, + "deflection": 0.012242492000673375, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_1805", + "improvement_over_parent": null + }, + "node_1807": { + "node_id": "node_1807", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0074)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0106)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 228.82 kg\n Factor of Safety: 1.27\n Max Deflection: 7.22e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.82131391975082, + "fos_buckling": 1.266290274710585, + "fos_yielding": 3.933019675427656, + "deflection": 0.00721929837516002, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_1806", + "improvement_over_parent": null + }, + "node_1808": { + "node_id": "node_1808", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1807", + "improvement_over_parent": null + }, + "node_1809": { + "node_id": "node_1809", + "content": "INITIAL DESIGN (Trace 261)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\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_1810": { + "node_id": "node_1810", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n\nPerformance:\n Mass: 121.02 kg\n Factor of Safety: 1.76\n Max Deflection: 1.81e+13 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 121.02220602859698, + "fos_buckling": 1.7612367827757138, + "fos_yielding": 5.307944126101783, + "deflection": 18059645520383.477, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005962)" + }, + "parent_node_id": "node_1809", + "improvement_over_parent": null + }, + "node_1811": { + "node_id": "node_1811", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 136.88 kg\n Factor of Safety: 0.04\n Max Deflection: 1.19e+14 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.88250527096713, + "fos_buckling": 0.03876260388660187, + "fos_yielding": 0.22842970877636903, + "deflection": 118664570114529.19, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_1810", + "improvement_over_parent": null + }, + "node_1812": { + "node_id": "node_1812", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 169.28 kg\n Factor of Safety: 0.59\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.27612491108542, + "fos_buckling": 0.5945072866013527, + "fos_yielding": 3.8557629823702504, + "deflection": 0.01369092076308407, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_1811", + "improvement_over_parent": null + }, + "node_1813": { + "node_id": "node_1813", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 202.05 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.05371965397092, + "fos_buckling": 0.9809191017228802, + "fos_yielding": 4.589055268994515, + "deflection": 0.008815977306482337, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_1812", + "improvement_over_parent": null + }, + "node_1814": { + "node_id": "node_1814", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.67 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.67024856326552, + "fos_buckling": 1.5260670980263402, + "fos_yielding": 4.605451825368789, + "deflection": 0.0069678207069460655, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_1813", + "improvement_over_parent": null + }, + "node_1815": { + "node_id": "node_1815", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1814", + "improvement_over_parent": null + }, + "node_1816": { + "node_id": "node_1816", + "content": "INITIAL DESIGN (Trace 262)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\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_1817": { + "node_id": "node_1817", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 205.54 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.54183912695203, + "fos_buckling": 0.9804872604151356, + "fos_yielding": 4.587203241099992, + "deflection": 0.008819898318209389, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_1816", + "improvement_over_parent": null + }, + "node_1818": { + "node_id": "node_1818", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63298725561233, + "fos_buckling": 1.5259788749908192, + "fos_yielding": 4.604199109896495, + "deflection": 0.006968967111365604, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_1817", + "improvement_over_parent": null + }, + "node_1819": { + "node_id": "node_1819", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1818", + "improvement_over_parent": null + }, + "node_1820": { + "node_id": "node_1820", + "content": "INITIAL DESIGN (Trace 263)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 143.92 kg\n Factor of Safety: 0.74\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": 143.91891627535878, + "fos_buckling": 0.7421313633806017, + "fos_yielding": 3.286501524499295, + "deflection": 0.012283858271566172, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1821": { + "node_id": "node_1821", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 174.79 kg\n Factor of Safety: 0.87\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": 174.78506989719423, + "fos_buckling": 0.8741735391810217, + "fos_yielding": 3.9866735260376864, + "deflection": 0.010152239586483414, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_1820", + "improvement_over_parent": null + }, + "node_1822": { + "node_id": "node_1822", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n\nPerformance:\n Mass: 197.00 kg\n Factor of Safety: 1.35\n Max Deflection: 8.08e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.99728915901545, + "fos_buckling": 1.34721038049003, + "fos_yielding": 4.004670067703302, + "deflection": 0.008083619085566311, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006159)" + }, + "parent_node_id": "node_1821", + "improvement_over_parent": null + }, + "node_1823": { + "node_id": "node_1823", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.13 kg\n Factor of Safety: 1.51\n Max Deflection: 7.03e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.1290402949204, + "fos_buckling": 1.5121360299978386, + "fos_yielding": 4.612242439358575, + "deflection": 0.007033901727189277, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_1822", + "improvement_over_parent": null + }, + "node_1824": { + "node_id": "node_1824", + "content": "MODIFICATION: Increase 5 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.60820369263223, + "fos_buckling": 1.5258977662923914, + "fos_yielding": 4.603811781919893, + "deflection": 0.006969586213083776, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.276)" + }, + "parent_node_id": "node_1823", + "improvement_over_parent": null + }, + "node_1825": { + "node_id": "node_1825", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1824", + "improvement_over_parent": null + }, + "node_1826": { + "node_id": "node_1826", + "content": "INITIAL DESIGN (Trace 264)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 162.33 kg\n Factor of Safety: 0.85\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": 162.3296620741225, + "fos_buckling": 0.8470524086656152, + "fos_yielding": 3.390961973136429, + "deflection": 0.01084467754623515, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1827": { + "node_id": "node_1827", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 194.67 kg\n Factor of Safety: 0.98\n Max Deflection: 9.08e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.6744464805217, + "fos_buckling": 0.981693440013573, + "fos_yielding": 4.087191363355891, + "deflection": 0.00908019883070554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_1826", + "improvement_over_parent": null + }, + "node_1828": { + "node_id": "node_1828", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 216.77 kg\n Factor of Safety: 1.17\n Max Deflection: 7.36e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.76559460918202, + "fos_buckling": 1.1653195177309936, + "fos_yielding": 3.524490135766903, + "deflection": 0.007355205516146295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_1827", + "improvement_over_parent": null + }, + "node_1829": { + "node_id": "node_1829", + "content": "MODIFICATION: Increase 4 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0060)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 217.96 kg\n Factor of Safety: 1.16\n Max Deflection: 7.28e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.95967478769126, + "fos_buckling": 1.1617544687976664, + "fos_yielding": 3.5137077026162906, + "deflection": 0.007282709563576712, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.585)" + }, + "parent_node_id": "node_1828", + "improvement_over_parent": null + }, + "node_1830": { + "node_id": "node_1830", + "content": "MODIFICATION: Increase 9 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0060)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0134)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 236.07 kg\n Factor of Safety: 1.16\n Max Deflection: 6.81e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.0691514442976, + "fos_buckling": 1.1607195447396172, + "fos_yielding": 3.5105775914507586, + "deflection": 0.006812192421396014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.650)" + }, + "parent_node_id": "node_1829", + "improvement_over_parent": null + }, + "node_1831": { + "node_id": "node_1831", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1830", + "improvement_over_parent": null + }, + "node_1832": { + "node_id": "node_1832", + "content": "INITIAL DESIGN (Trace 265)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0035)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\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_1833": { + "node_id": "node_1833", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0035)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n\nPerformance:\n Mass: 109.53 kg\n Factor of Safety: 0.49\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 109.5306285180339, + "fos_buckling": 0.493461211671751, + "fos_yielding": 3.3013129398390935, + "deflection": 0.01835686484658214, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004268)" + }, + "parent_node_id": "node_1832", + "improvement_over_parent": null + }, + "node_1834": { + "node_id": "node_1834", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n\nPerformance:\n Mass: 123.75 kg\n Factor of Safety: 0.55\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.74882919369469, + "fos_buckling": 0.5521974717485779, + "fos_yielding": 3.7278425030586932, + "deflection": 0.016271645012505553, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_1833", + "improvement_over_parent": null + }, + "node_1835": { + "node_id": "node_1835", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n\nPerformance:\n Mass: 139.32 kg\n Factor of Safety: 0.62\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.32148288191965, + "fos_buckling": 0.6151332990332522, + "fos_yielding": 4.194427313535448, + "deflection": 0.014475915512094461, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_1834", + "improvement_over_parent": null + }, + "node_1836": { + "node_id": "node_1836", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 171.17 kg\n Factor of Safety: 0.74\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.17395448881493, + "fos_buckling": 0.7393248352041306, + "fos_yielding": 5.1468246295845255, + "deflection": 0.011819915824557672, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_1835", + "improvement_over_parent": null + }, + "node_1837": { + "node_id": "node_1837", + "content": "MODIFICATION: Increase 6 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0103)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 180.80 kg\n Factor of Safety: 0.74\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.80452888121954, + "fos_buckling": 0.7383903137879401, + "fos_yielding": 5.142495015662355, + "deflection": 0.011837310916844698, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.441)" + }, + "parent_node_id": "node_1836", + "improvement_over_parent": null + }, + "node_1838": { + "node_id": "node_1838", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0103)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 202.46 kg\n Factor of Safety: 0.74\n Max Deflection: 9.78e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.46382515806698, + "fos_buckling": 0.7362971691198736, + "fos_yielding": 4.546484583192071, + "deflection": 0.00978491815200026, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_1837", + "improvement_over_parent": null + }, + "node_1839": { + "node_id": "node_1839", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0103)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 228.08 kg\n Factor of Safety: 1.25\n Max Deflection: 7.22e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.08035406736158, + "fos_buckling": 1.2450366609059058, + "fos_yielding": 4.5667201394615695, + "deflection": 0.007218200181241888, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_1838", + "improvement_over_parent": null + }, + "node_1840": { + "node_id": "node_1840", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1839", + "improvement_over_parent": null + }, + "node_1841": { + "node_id": "node_1841", + "content": "INITIAL DESIGN (Trace 266)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\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_1842": { + "node_id": "node_1842", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 179.71 kg\n Factor of Safety: 0.50\n Max Deflection: 3.60e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.7148766428274, + "fos_buckling": 0.49844309244462776, + "fos_yielding": 3.8536513589267347, + "deflection": 0.035980025131794005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_1841", + "improvement_over_parent": null + }, + "node_1843": { + "node_id": "node_1843", + "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 183.20 kg\n Factor of Safety: 0.50\n Max Deflection: 3.54e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.20466445370283, + "fos_buckling": 0.49821182338371167, + "fos_yielding": 3.8532110004380087, + "deflection": 0.03540382134800616, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.206)" + }, + "parent_node_id": "node_1842", + "improvement_over_parent": null + }, + "node_1844": { + "node_id": "node_1844", + "content": "MODIFICATION: Increase 1 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 192.49 kg\n Factor of Safety: 0.50\n Max Deflection: 3.54e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.48539494766607, + "fos_buckling": 0.49821182338371195, + "fos_yielding": 3.85204040204211, + "deflection": 0.035403944461886, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.536)" + }, + "parent_node_id": "node_1843", + "improvement_over_parent": null + }, + "node_1845": { + "node_id": "node_1845", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 194.87 kg\n Factor of Safety: 0.59\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.8700772592522, + "fos_buckling": 0.5923909754595517, + "fos_yielding": 3.8514391085077375, + "deflection": 0.012092572089401912, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_1844", + "improvement_over_parent": null + }, + "node_1846": { + "node_id": "node_1846", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.65 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6476720021377, + "fos_buckling": 1.5258712594414598, + "fos_yielding": 4.604265109696548, + "deflection": 0.006968531868701084, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_1845", + "improvement_over_parent": null + }, + "node_1847": { + "node_id": "node_1847", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1846", + "improvement_over_parent": null + }, + "node_1848": { + "node_id": "node_1848", + "content": "INITIAL DESIGN (Trace 267)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n\nPerformance:\n Mass: 87.78 kg\n Factor of Safety: 0.94\n Max Deflection: 3.91e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 87.77741158232737, + "fos_buckling": 0.943857760697538, + "fos_yielding": 2.4061006926793223, + "deflection": 39112855473759.09, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1849": { + "node_id": "node_1849", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n\nPerformance:\n Mass: 103.90 kg\n Factor of Safety: 0.41\n Max Deflection: 2.17e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 103.90278952880834, + "fos_buckling": 0.40955770244210526, + "fos_yielding": 1.8068755962797791, + "deflection": 0.021707421754864314, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004422)" + }, + "parent_node_id": "node_1848", + "improvement_over_parent": null + }, + "node_1850": { + "node_id": "node_1850", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 129.70 kg\n Factor of Safety: 0.50\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.70126449422716, + "fos_buckling": 0.4955834361908534, + "fos_yielding": 2.2610417388621067, + "deflection": 0.017444219302408005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_1849", + "improvement_over_parent": null + }, + "node_1851": { + "node_id": "node_1851", + "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 134.48 kg\n Factor of Safety: 0.50\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.47977021329206, + "fos_buckling": 0.49527081614409607, + "fos_yielding": 2.26068718316321, + "deflection": 0.01745448819749382, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.397)" + }, + "parent_node_id": "node_1850", + "improvement_over_parent": null + }, + "node_1852": { + "node_id": "node_1852", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 160.72 kg\n Factor of Safety: 0.82\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.72494149729306, + "fos_buckling": 0.8180520826668056, + "fos_yielding": 2.7075634290181925, + "deflection": 0.011100774024354509, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006393)" + }, + "parent_node_id": "node_1851", + "improvement_over_parent": null + }, + "node_1853": { + "node_id": "node_1853", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 200.85 kg\n Factor of Safety: 0.98\n Max Deflection: 8.92e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.85430421096152, + "fos_buckling": 0.981592837559294, + "fos_yielding": 3.3975095132317654, + "deflection": 0.00892441803048366, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_1852", + "improvement_over_parent": null + }, + "node_1854": { + "node_id": "node_1854", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 226.47 kg\n Factor of Safety: 1.28\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.47083312025612, + "fos_buckling": 1.2784399119127678, + "fos_yielding": 3.4096791884842177, + "deflection": 0.007073209759391439, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_1853", + "improvement_over_parent": null + }, + "node_1855": { + "node_id": "node_1855", + "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.80 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.8028765304094, + "fos_buckling": 1.526684751555216, + "fos_yielding": 4.606973308425134, + "deflection": 0.006963852265551187, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.395)" + }, + "parent_node_id": "node_1854", + "improvement_over_parent": null + }, + "node_1856": { + "node_id": "node_1856", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1855", + "improvement_over_parent": null + }, + "node_1857": { + "node_id": "node_1857", + "content": "INITIAL DESIGN (Trace 268)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0022)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0022)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0020)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0019)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0015)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0011)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0016)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0023)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0021)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0023)]\n\nPerformance:\n Mass: 69.29 kg\n Factor of Safety: 0.53\n Max Deflection: 2.25e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 69.28945325810939, + "fos_buckling": 0.5321410921165246, + "fos_yielding": 1.409038351253132, + "deflection": 0.02248803500763605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1858": { + "node_id": "node_1858", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0027)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0024)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0024)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0018)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0013)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0019)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0028)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0025)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0028)]\n\nPerformance:\n Mass: 83.68 kg\n Factor of Safety: 0.64\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 83.6781527479468, + "fos_buckling": 0.635101861208385, + "fos_yielding": 1.7008077870175065, + "deflection": 0.01865175334770999, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_1857", + "improvement_over_parent": null + }, + "node_1859": { + "node_id": "node_1859", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0032)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0028)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0028)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0021)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0033)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0033)]\n\nPerformance:\n Mass: 98.69 kg\n Factor of Safety: 0.74\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": 98.69261173869027, + "fos_buckling": 0.7398050397194983, + "fos_yielding": 2.0049619415179274, + "deflection": 0.01584126930553989, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_1858", + "improvement_over_parent": null + }, + "node_1860": { + "node_id": "node_1860", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n Mass: 113.46 kg\n Factor of Safety: 0.84\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.45659368629751, + "fos_buckling": 0.8400510643991017, + "fos_yielding": 2.3037395579336004, + "deflection": 0.013803020085289615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_1859", + "improvement_over_parent": null + }, + "node_1861": { + "node_id": "node_1861", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n Mass: 140.57 kg\n Factor of Safety: 1.02\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.5699079764702, + "fos_buckling": 1.017192628270544, + "fos_yielding": 2.8516499265526813, + "deflection": 0.011175000066154891, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_1860", + "improvement_over_parent": null + }, + "node_1862": { + "node_id": "node_1862", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 179.49 kg\n Factor of Safety: 1.26\n Max Deflection: 8.79e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.4910339717478, + "fos_buckling": 1.255877718098788, + "fos_yielding": 3.6364142685799337, + "deflection": 0.00879038415145573, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_1861", + "improvement_over_parent": null + }, + "node_1863": { + "node_id": "node_1863", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.72 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.72269596351484, + "fos_buckling": 1.5264679671159995, + "fos_yielding": 4.606038585972606, + "deflection": 0.006966272937532823, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_1862", + "improvement_over_parent": null + }, + "node_1864": { + "node_id": "node_1864", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1863", + "improvement_over_parent": null + }, + "node_1865": { + "node_id": "node_1865", + "content": "INITIAL DESIGN (Trace 269)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1866": { + "node_id": "node_1866", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n\nPerformance:\n Mass: 138.02 kg\n Factor of Safety: 0.86\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": 138.02194981090258, + "fos_buckling": 0.8604211607292884, + "fos_yielding": 4.360458212181573, + "deflection": 0.012583387621626653, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004357)" + }, + "parent_node_id": "node_1865", + "improvement_over_parent": null + }, + "node_1867": { + "node_id": "node_1867", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n\nPerformance:\n Mass: 156.36 kg\n Factor of Safety: 0.86\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.35775574910227, + "fos_buckling": 0.8583441116062827, + "fos_yielding": 4.005358893455176, + "deflection": 0.010952595535112975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005686)" + }, + "parent_node_id": "node_1866", + "improvement_over_parent": null + }, + "node_1868": { + "node_id": "node_1868", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n\nPerformance:\n Mass: 175.06 kg\n Factor of Safety: 1.17\n Max Deflection: 8.93e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.05703882568847, + "fos_buckling": 1.1731342114158405, + "fos_yielding": 4.015676335600164, + "deflection": 0.008934233235703441, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005742)" + }, + "parent_node_id": "node_1867", + "improvement_over_parent": null + }, + "node_1869": { + "node_id": "node_1869", + "content": "MODIFICATION: Increase 9 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0091)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n\nPerformance:\n Mass: 184.82 kg\n Factor of Safety: 1.20\n Max Deflection: 8.84e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.8204862501084, + "fos_buckling": 1.1999176518812755, + "fos_yielding": 3.990533604942177, + "deflection": 0.008838562352156538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.605)" + }, + "parent_node_id": "node_1868", + "improvement_over_parent": null + }, + "node_1870": { + "node_id": "node_1870", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0109)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 218.15 kg\n Factor of Safety: 1.38\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": 218.14703747770665, + "fos_buckling": 1.3754315558973826, + "fos_yielding": 4.707566634646424, + "deflection": 0.00750482186733154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_1869", + "improvement_over_parent": null + }, + "node_1871": { + "node_id": "node_1871", + "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0109)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 224.70 kg\n Factor of Safety: 1.37\n Max Deflection: 7.35e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.69551325823744, + "fos_buckling": 1.372667727399713, + "fos_yielding": 4.708448712461042, + "deflection": 0.007345926212289725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.377)" + }, + "parent_node_id": "node_1870", + "improvement_over_parent": null + }, + "node_1872": { + "node_id": "node_1872", + "content": "MODIFICATION: Increase 9 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0163)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 237.16 kg\n Factor of Safety: 1.39\n Max Deflection: 7.30e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.15752449209714, + "fos_buckling": 1.3899901355129842, + "fos_yielding": 4.6883663770399036, + "deflection": 0.007304661004363656, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.493)" + }, + "parent_node_id": "node_1871", + "improvement_over_parent": null + }, + "node_1873": { + "node_id": "node_1873", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1872", + "improvement_over_parent": null + }, + "node_1874": { + "node_id": "node_1874", + "content": "INITIAL DESIGN (Trace 270)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0031)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 136.89 kg\n Factor of Safety: 0.48\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.89317178938967, + "fos_buckling": 0.4816014362138107, + "fos_yielding": 3.4257540429317115, + "deflection": 0.018537269564581457, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1875": { + "node_id": "node_1875", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0041)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 178.41 kg\n Factor of Safety: 0.62\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.40783369264275, + "fos_buckling": 0.6164258932867831, + "fos_yielding": 4.450507440761207, + "deflection": 0.014239055682513966, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_1874", + "improvement_over_parent": null + }, + "node_1876": { + "node_id": "node_1876", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 209.93 kg\n Factor of Safety: 0.72\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": 209.92557132889652, + "fos_buckling": 0.7152660398496363, + "fos_yielding": 5.223811127501358, + "deflection": 0.012110456156036186, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_1875", + "improvement_over_parent": null + }, + "node_1877": { + "node_id": "node_1877", + "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 213.12 kg\n Factor of Safety: 0.72\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": 213.12337643658208, + "fos_buckling": 0.7162573017252378, + "fos_yielding": 5.226811092818871, + "deflection": 0.01211272012676953, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.186)" + }, + "parent_node_id": "node_1876", + "improvement_over_parent": null + }, + "node_1878": { + "node_id": "node_1878", + "content": "MODIFICATION: Increase 6 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 225.14 kg\n Factor of Safety: 1.00\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.1417180662699, + "fos_buckling": 0.999353939857647, + "fos_yielding": 5.12049719506052, + "deflection": 0.010604429138091951, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.647)" + }, + "parent_node_id": "node_1877", + "improvement_over_parent": null + }, + "node_1879": { + "node_id": "node_1879", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.53 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.52640037785605, + "fos_buckling": 1.525414601556725, + "fos_yielding": 4.601963986688511, + "deflection": 0.0069720705884436145, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_1878", + "improvement_over_parent": null + }, + "node_1880": { + "node_id": "node_1880", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1879", + "improvement_over_parent": null + }, + "node_1881": { + "node_id": "node_1881", + "content": "INITIAL DESIGN (Trace 271)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\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_1882": { + "node_id": "node_1882", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 205.46 kg\n Factor of Safety: 1.00\n Max Deflection: 8.73e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.45828011090654, + "fos_buckling": 1.0038817754696863, + "fos_yielding": 5.143770618251928, + "deflection": 0.008732461763429929, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_1881", + "improvement_over_parent": null + }, + "node_1883": { + "node_id": "node_1883", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.12 kg\n Factor of Safety: 1.51\n Max Deflection: 7.04e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.11757638775396, + "fos_buckling": 1.5109839872358017, + "fos_yielding": 4.6133917179074295, + "deflection": 0.007039141799769413, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_1882", + "improvement_over_parent": null + }, + "node_1884": { + "node_id": "node_1884", + "content": "MODIFICATION: Increase 5 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0072)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 228.46 kg\n Factor of Safety: 1.49\n Max Deflection: 6.98e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.45667454731154, + "fos_buckling": 1.493190724621626, + "fos_yielding": 5.3624073014509035, + "deflection": 0.006975974246365916, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.302)" + }, + "parent_node_id": "node_1883", + "improvement_over_parent": null + }, + "node_1885": { + "node_id": "node_1885", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1884", + "improvement_over_parent": null + }, + "node_1886": { + "node_id": "node_1886", + "content": "INITIAL DESIGN (Trace 272)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 173.07 kg\n Factor of Safety: 0.88\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": 173.06689071054743, + "fos_buckling": 0.884700635533406, + "fos_yielding": 3.983293077701986, + "deflection": 0.010393922960676984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1887": { + "node_id": "node_1887", + "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 180.77 kg\n Factor of Safety: 0.88\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.77479878780693, + "fos_buckling": 0.8838057079700088, + "fos_yielding": 4.037933869777961, + "deflection": 0.009998598883049438, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.395)" + }, + "parent_node_id": "node_1886", + "improvement_over_parent": null + }, + "node_1888": { + "node_id": "node_1888", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n\nPerformance:\n Mass: 200.20 kg\n Factor of Safety: 1.38\n Max Deflection: 7.90e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.20083740701503, + "fos_buckling": 1.3757114855005355, + "fos_yielding": 4.053014846413541, + "deflection": 0.007899417207696626, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005984)" + }, + "parent_node_id": "node_1887", + "improvement_over_parent": null + }, + "node_1889": { + "node_id": "node_1889", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.71 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.71417149557593, + "fos_buckling": 1.5266888462165318, + "fos_yielding": 4.605725732049968, + "deflection": 0.006966480652000972, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1889", + "improvement_over_parent": null + }, + "node_1891": { + "node_id": "node_1891", + "content": "INITIAL DESIGN (Trace 273)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0039)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0034)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0020)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n\nPerformance:\n Mass: 85.71 kg\n Factor of Safety: 1.05\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": 85.70693928860129, + "fos_buckling": 1.0467809516539341, + "fos_yielding": 2.6931212269641387, + "deflection": 23040181487625.344, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1892": { + "node_id": "node_1892", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n\nPerformance:\n Mass: 107.13 kg\n Factor of Safety: 0.08\n Max Deflection: 1.31e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.1285250982655, + "fos_buckling": 0.08237674128915748, + "fos_yielding": 0.45685941755273807, + "deflection": 131184442531229.36, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_1891", + "improvement_over_parent": null + }, + "node_1893": { + "node_id": "node_1893", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 128.55 kg\n Factor of Safety: 0.70\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": 128.5547691589632, + "fos_buckling": 0.7039626429986441, + "fos_yielding": 2.7092348811772964, + "deflection": 0.013626307307261078, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005149)" + }, + "parent_node_id": "node_1892", + "improvement_over_parent": null + }, + "node_1894": { + "node_id": "node_1894", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n Mass: 144.97 kg\n Factor of Safety: 0.92\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": 144.9728816019369, + "fos_buckling": 0.9215818906610259, + "fos_yielding": 2.7213040568357583, + "deflection": 0.010989035176535452, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004507)" + }, + "parent_node_id": "node_1893", + "improvement_over_parent": null + }, + "node_1895": { + "node_id": "node_1895", + "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n Mass: 145.60 kg\n Factor of Safety: 1.07\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.60213970509056, + "fos_buckling": 1.0679536843040904, + "fos_yielding": 3.01688452866572, + "deflection": 0.010866358227388836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.299)" + }, + "parent_node_id": "node_1894", + "improvement_over_parent": null + }, + "node_1896": { + "node_id": "node_1896", + "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n Mass: 148.72 kg\n Factor of Safety: 1.07\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.7170063638035, + "fos_buckling": 1.0691383627661366, + "fos_yielding": 3.015861469347639, + "deflection": 0.010572818394202642, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.218)" + }, + "parent_node_id": "node_1895", + "improvement_over_parent": null + }, + "node_1897": { + "node_id": "node_1897", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n Mass: 192.54 kg\n Factor of Safety: 1.33\n Max Deflection: 8.21e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.5426781966137, + "fos_buckling": 1.3323789296141302, + "fos_yielding": 3.8988191954640468, + "deflection": 0.008206785729674267, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_1896", + "improvement_over_parent": null + }, + "node_1898": { + "node_id": "node_1898", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.60 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.60319036455618, + "fos_buckling": 1.5264157521841777, + "fos_yielding": 4.603301573278254, + "deflection": 0.006970004818241548, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_1897", + "improvement_over_parent": null + }, + "node_1899": { + "node_id": "node_1899", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1898", + "improvement_over_parent": null + }, + "node_1900": { + "node_id": "node_1900", + "content": "INITIAL DESIGN (Trace 274)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 187.56 kg\n Factor of Safety: 0.51\n Max Deflection: 3.60e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.56340442418096, + "fos_buckling": 0.510309442307962, + "fos_yielding": 2.9479049029902713, + "deflection": 0.035978521237121655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1901": { + "node_id": "node_1901", + "content": "MODIFICATION: Increase 3 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 191.50 kg\n Factor of Safety: 0.51\n Max Deflection: 3.53e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.501186971904, + "fos_buckling": 0.510042285263986, + "fos_yielding": 2.9474211958759318, + "deflection": 0.03528161388504991, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.244)" + }, + "parent_node_id": "node_1900", + "improvement_over_parent": null + }, + "node_1902": { + "node_id": "node_1902", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 193.89 kg\n Factor of Safety: 0.62\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.88586928349014, + "fos_buckling": 0.6160685371272424, + "fos_yielding": 2.946835551870243, + "deflection": 0.012275085311879994, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_1901", + "improvement_over_parent": null + }, + "node_1903": { + "node_id": "node_1903", + "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 195.24 kg\n Factor of Safety: 0.62\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": 195.23638393972186, + "fos_buckling": 0.6160685371272426, + "fos_yielding": 4.262799177978606, + "deflection": 0.011901176480127123, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.490)" + }, + "parent_node_id": "node_1902", + "improvement_over_parent": null + }, + "node_1904": { + "node_id": "node_1904", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63000357984015, + "fos_buckling": 1.5259600281095895, + "fos_yielding": 4.604211735856638, + "deflection": 0.00696898444759186, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_1903", + "improvement_over_parent": null + }, + "node_1905": { + "node_id": "node_1905", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1904", + "improvement_over_parent": null + }, + "node_1906": { + "node_id": "node_1906", + "content": "INITIAL DESIGN (Trace 275)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 112.41 kg\n Factor of Safety: 0.10\n Max Deflection: 1.00e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.41335855503024, + "fos_buckling": 0.0971231315121528, + "fos_yielding": 1.2130868796295318, + "deflection": 100164436666823.89, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1907": { + "node_id": "node_1907", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 143.17 kg\n Factor of Safety: 0.25\n Max Deflection: 3.21e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.1734534562161, + "fos_buckling": 0.25109241347380534, + "fos_yielding": 3.4138106606864844, + "deflection": 32051687950854.457, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_1906", + "improvement_over_parent": null + }, + "node_1908": { + "node_id": "node_1908", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n\nPerformance:\n Mass: 145.17 kg\n Factor of Safety: 0.53\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.1695806264758, + "fos_buckling": 0.5338674561254377, + "fos_yielding": 3.5737870631429667, + "deflection": 0.015982403548083085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003120)" + }, + "parent_node_id": "node_1907", + "improvement_over_parent": null + }, + "node_1909": { + "node_id": "node_1909", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 173.46 kg\n Factor of Safety: 0.62\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.45843395194768, + "fos_buckling": 0.6174812741677066, + "fos_yielding": 4.262348068372644, + "deflection": 0.013420067486606553, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_1908", + "improvement_over_parent": null + }, + "node_1910": { + "node_id": "node_1910", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n\nPerformance:\n Mass: 189.30 kg\n Factor of Safety: 0.62\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.2975923480382, + "fos_buckling": 0.6161990227283448, + "fos_yielding": 4.259535055145137, + "deflection": 0.012032439299258159, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004859)" + }, + "parent_node_id": "node_1909", + "improvement_over_parent": null + }, + "node_1911": { + "node_id": "node_1911", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 221.69 kg\n Factor of Safety: 1.44\n Max Deflection: 7.12e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.69121198815648, + "fos_buckling": 1.4384501094124216, + "fos_yielding": 4.6445241649551186, + "deflection": 0.007119273381269422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_1910", + "improvement_over_parent": null + }, + "node_1912": { + "node_id": "node_1912", + "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0072)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 223.23 kg\n Factor of Safety: 1.44\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.22759652959493, + "fos_buckling": 1.4405651416007064, + "fos_yielding": 4.645173336048262, + "deflection": 0.007049011558752332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.403)" + }, + "parent_node_id": "node_1911", + "improvement_over_parent": null + }, + "node_1913": { + "node_id": "node_1913", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1912", + "improvement_over_parent": null + }, + "node_1914": { + "node_id": "node_1914", + "content": "INITIAL DESIGN (Trace 276)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 128.28 kg\n Factor of Safety: 0.69\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": 128.27500946927995, + "fos_buckling": 0.6948529683918581, + "fos_yielding": 4.082519654252285, + "deflection": 0.015896307635496706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1915": { + "node_id": "node_1915", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n\nPerformance:\n Mass: 145.46 kg\n Factor of Safety: 0.69\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.45573859385672, + "fos_buckling": 0.6932789610286098, + "fos_yielding": 3.651843766428306, + "deflection": 0.013556964019696392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005301)" + }, + "parent_node_id": "node_1914", + "improvement_over_parent": null + }, + "node_1916": { + "node_id": "node_1916", + "content": "MODIFICATION: Increase 0 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n\nPerformance:\n Mass: 153.34 kg\n Factor of Safety: 0.69\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.33660329260454, + "fos_buckling": 0.6925593412113297, + "fos_yielding": 3.6512687571407443, + "deflection": 0.011791019392898191, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.592)" + }, + "parent_node_id": "node_1915", + "improvement_over_parent": null + }, + "node_1917": { + "node_id": "node_1917", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n\nPerformance:\n Mass: 170.86 kg\n Factor of Safety: 1.06\n Max Deflection: 9.35e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.8603215131577, + "fos_buckling": 1.058296589537895, + "fos_yielding": 3.6707234724339126, + "deflection": 0.009347602590893622, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005354)" + }, + "parent_node_id": "node_1916", + "improvement_over_parent": null + }, + "node_1918": { + "node_id": "node_1918", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 215.44 kg\n Factor of Safety: 1.29\n Max Deflection: 7.45e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.43655960256797, + "fos_buckling": 1.2922856437927355, + "fos_yielding": 4.616231460492212, + "deflection": 0.007446771065670998, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_1917", + "improvement_over_parent": null + }, + "node_1919": { + "node_id": "node_1919", + "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0086)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 220.24 kg\n Factor of Safety: 1.29\n Max Deflection: 7.37e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.23712611232173, + "fos_buckling": 1.2901727331322888, + "fos_yielding": 4.592792715121574, + "deflection": 0.007372449009635666, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.215)" + }, + "parent_node_id": "node_1918", + "improvement_over_parent": null + }, + "node_1920": { + "node_id": "node_1920", + "content": "MODIFICATION: Increase 8 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0086)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0109)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 229.88 kg\n Factor of Safety: 1.29\n Max Deflection: 7.12e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.8784057310521, + "fos_buckling": 1.2918979257965715, + "fos_yielding": 4.6399855402029075, + "deflection": 0.007119421283924042, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.335)" + }, + "parent_node_id": "node_1919", + "improvement_over_parent": null + }, + "node_1921": { + "node_id": "node_1921", + "content": "MODIFICATION: Increase 5 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0100)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0086)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0109)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 241.81 kg\n Factor of Safety: 1.52\n Max Deflection: 6.68e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 241.80853540799495, + "fos_buckling": 1.5216556324961281, + "fos_yielding": 4.635134155942983, + "deflection": 0.006682282777633517, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.495)" + }, + "parent_node_id": "node_1920", + "improvement_over_parent": null + }, + "node_1922": { + "node_id": "node_1922", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1921", + "improvement_over_parent": null + }, + "node_1923": { + "node_id": "node_1923", + "content": "INITIAL DESIGN (Trace 277)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0035)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 142.18 kg\n Factor of Safety: 0.84\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": 142.1770358022344, + "fos_buckling": 0.8434832154290283, + "fos_yielding": 3.0158259802801086, + "deflection": 0.011227461410319132, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1924": { + "node_id": "node_1924", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 182.50 kg\n Factor of Safety: 1.06\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": 182.5034253198117, + "fos_buckling": 1.058070529210894, + "fos_yielding": 3.8635170481063885, + "deflection": 0.008782916877826978, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_1923", + "improvement_over_parent": null + }, + "node_1925": { + "node_id": "node_1925", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 217.85 kg\n Factor of Safety: 1.24\n Max Deflection: 7.38e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.854657602714, + "fos_buckling": 1.2372654446168274, + "fos_yielding": 4.603688208008654, + "deflection": 0.007384219453108849, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_1924", + "improvement_over_parent": null + }, + "node_1926": { + "node_id": "node_1926", + "content": "MODIFICATION: Increase 7 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.45 kg\n Factor of Safety: 1.52\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.45249478111745, + "fos_buckling": 1.524929239714845, + "fos_yielding": 4.600219779590733, + "deflection": 0.006974282995571717, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.462)" + }, + "parent_node_id": "node_1925", + "improvement_over_parent": null + }, + "node_1927": { + "node_id": "node_1927", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1926", + "improvement_over_parent": null + }, + "node_1928": { + "node_id": "node_1928", + "content": "INITIAL DESIGN (Trace 278)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 147.20 kg\n Factor of Safety: 0.83\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": 147.2047201080702, + "fos_buckling": 0.83301226997116, + "fos_yielding": 4.200363599731565, + "deflection": 0.013064401500325775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1929": { + "node_id": "node_1929", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n\nPerformance:\n Mass: 164.89 kg\n Factor of Safety: 0.83\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": 164.8850221607548, + "fos_buckling": 0.8310755031587979, + "fos_yielding": 3.749596806626461, + "deflection": 0.010754513399363539, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005467)" + }, + "parent_node_id": "node_1928", + "improvement_over_parent": null + }, + "node_1930": { + "node_id": "node_1930", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n Mass: 185.79 kg\n Factor of Safety: 1.29\n Max Deflection: 8.50e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.79190365986264, + "fos_buckling": 1.2928109090052309, + "fos_yielding": 3.7632533265701036, + "deflection": 0.008498308473303436, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005769)" + }, + "parent_node_id": "node_1929", + "improvement_over_parent": null + }, + "node_1931": { + "node_id": "node_1931", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.59 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5853979925455, + "fos_buckling": 1.5257467570289316, + "fos_yielding": 4.603270381502994, + "deflection": 0.006970370269045182, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_1930", + "improvement_over_parent": null + }, + "node_1932": { + "node_id": "node_1932", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1931", + "improvement_over_parent": null + }, + "node_1933": { + "node_id": "node_1933", + "content": "INITIAL DESIGN (Trace 279)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n Mass: 119.84 kg\n Factor of Safety: 0.64\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": 119.83565620773456, + "fos_buckling": 0.6397058951263284, + "fos_yielding": 3.0797700757568984, + "deflection": 0.0174757789905481, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1934": { + "node_id": "node_1934", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n\nPerformance:\n Mass: 121.27 kg\n Factor of Safety: 0.64\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.2712938337085, + "fos_buckling": 0.639463008764834, + "fos_yielding": 2.7699975422245533, + "deflection": 0.014502144154403951, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002196)" + }, + "parent_node_id": "node_1933", + "improvement_over_parent": null + }, + "node_1935": { + "node_id": "node_1935", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n\nPerformance:\n Mass: 136.83 kg\n Factor of Safety: 0.71\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.83053696342944, + "fos_buckling": 0.710637284294487, + "fos_yielding": 3.123201662881755, + "deflection": 0.012878968101266307, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_1934", + "improvement_over_parent": null + }, + "node_1936": { + "node_id": "node_1936", + "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n\nPerformance:\n Mass: 140.00 kg\n Factor of Safety: 0.71\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": 140.00465638080308, + "fos_buckling": 0.710339723503418, + "fos_yielding": 3.107193250941387, + "deflection": 0.012756651285851878, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.200)" + }, + "parent_node_id": "node_1935", + "improvement_over_parent": null + }, + "node_1937": { + "node_id": "node_1937", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0067)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n Mass: 164.10 kg\n Factor of Safety: 0.81\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.10025613308557, + "fos_buckling": 0.8136012941285504, + "fos_yielding": 3.639315041623854, + "deflection": 0.010915078944292403, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_1936", + "improvement_over_parent": null + }, + "node_1938": { + "node_id": "node_1938", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0085)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 205.90 kg\n Factor of Safety: 0.98\n Max Deflection: 8.74e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.90399349486916, + "fos_buckling": 0.9798493233997798, + "fos_yielding": 4.560798179609, + "deflection": 0.008742665123842423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_1937", + "improvement_over_parent": null + }, + "node_1939": { + "node_id": "node_1939", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0085)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 228.00 kg\n Factor of Safety: 1.49\n Max Deflection: 6.99e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.99514162352946, + "fos_buckling": 1.485610342834825, + "fos_yielding": 4.577407198634467, + "deflection": 0.006985494221024872, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_1938", + "improvement_over_parent": null + }, + "node_1940": { + "node_id": "node_1940", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1939", + "improvement_over_parent": null + }, + "node_1941": { + "node_id": "node_1941", + "content": "INITIAL DESIGN (Trace 280)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n Mass: 163.69 kg\n Factor of Safety: 1.19\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": 163.6938978656708, + "fos_buckling": 1.191590131406783, + "fos_yielding": 3.428371934251256, + "deflection": 0.009748338391743445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1942": { + "node_id": "node_1942", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 186.93 kg\n Factor of Safety: 1.33\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": 186.93289218624602, + "fos_buckling": 1.332284901611681, + "fos_yielding": 3.9109071894868594, + "deflection": 0.00855731584948197, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_1941", + "improvement_over_parent": null + }, + "node_1943": { + "node_id": "node_1943", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 220.72 kg\n Factor of Safety: 1.52\n Max Deflection: 7.27e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 220.7169694490518, + "fos_buckling": 1.524537505367175, + "fos_yielding": 4.610471222159639, + "deflection": 0.00727308525468621, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_1942", + "improvement_over_parent": null + }, + "node_1944": { + "node_id": "node_1944", + "content": "MODIFICATION: Increase 0 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.83 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.8252034150567, + "fos_buckling": 1.5269310667263998, + "fos_yielding": 4.607764919224282, + "deflection": 0.0069631401964021155, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.374)" + }, + "parent_node_id": "node_1943", + "improvement_over_parent": null + }, + "node_1945": { + "node_id": "node_1945", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1944", + "improvement_over_parent": null + }, + "node_1946": { + "node_id": "node_1946", + "content": "INITIAL DESIGN (Trace 281)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 194.58 kg\n Factor of Safety: 0.81\n Max Deflection: 9.59e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.57521870460633, + "fos_buckling": 0.8147755718740397, + "fos_yielding": 3.693125323796215, + "deflection": 0.009587771216786485, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1947": { + "node_id": "node_1947", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 220.19 kg\n Factor of Safety: 1.34\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.19174761390093, + "fos_buckling": 1.3386206517524533, + "fos_yielding": 3.7077019822999997, + "deflection": 0.0072938870804944034, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_1946", + "improvement_over_parent": null + }, + "node_1948": { + "node_id": "node_1948", + "content": "MODIFICATION: Increase 6 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 221.19 kg\n Factor of Safety: 1.34\n Max Deflection: 7.22e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.19019310351138, + "fos_buckling": 1.3374632038147403, + "fos_yielding": 4.605560727118131, + "deflection": 0.007218676243943345, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.272)" + }, + "parent_node_id": "node_1947", + "improvement_over_parent": null + }, + "node_1949": { + "node_id": "node_1949", + "content": "MODIFICATION: Increase 7 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.62 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.62031249726857, + "fos_buckling": 1.5259531650604745, + "fos_yielding": 4.603403653449365, + "deflection": 0.0069693891375472794, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.272)" + }, + "parent_node_id": "node_1948", + "improvement_over_parent": null + }, + "node_1950": { + "node_id": "node_1950", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1949", + "improvement_over_parent": null + }, + "node_1951": { + "node_id": "node_1951", + "content": "INITIAL DESIGN (Trace 282)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n\nPerformance:\n Mass: 118.05 kg\n Factor of Safety: 0.68\n Max Deflection: 3.70e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.04844707379567, + "fos_buckling": 0.6806391869629195, + "fos_yielding": 3.6595499768390547, + "deflection": 36978588269341.57, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1952": { + "node_id": "node_1952", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n\nPerformance:\n Mass: 136.71 kg\n Factor of Safety: 1.56\n Max Deflection: 9.11e+12 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 136.7112193580721, + "fos_buckling": 1.5644552024313974, + "fos_yielding": 4.236063967463964, + "deflection": 9112080704769.42, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_1951", + "improvement_over_parent": null + }, + "node_1953": { + "node_id": "node_1953", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 157.38 kg\n Factor of Safety: 0.51\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.3824948780019, + "fos_buckling": 0.505469685320869, + "fos_yielding": 3.175190164814547, + "deflection": 0.014718962689311988, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005764)" + }, + "parent_node_id": "node_1952", + "improvement_over_parent": null + }, + "node_1954": { + "node_id": "node_1954", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 191.27 kg\n Factor of Safety: 0.59\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.2673815950896, + "fos_buckling": 0.5925771163812082, + "fos_yielding": 3.8511542485731645, + "deflection": 0.012159639127061726, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_1953", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 224.04 kg\n Factor of Safety: 1.49\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.0449763379751, + "fos_buckling": 1.4925238595452557, + "fos_yielding": 4.602861694604219, + "deflection": 0.007046886913997419, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_1954", + "improvement_over_parent": null + }, + "node_1956": { + "node_id": "node_1956", + "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.58 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5798186180923, + "fos_buckling": 1.5259416660132028, + "fos_yielding": 4.603352631533151, + "deflection": 0.0069703657706596716, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.176)" + }, + "parent_node_id": "node_1955", + "improvement_over_parent": null + }, + "node_1957": { + "node_id": "node_1957", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1956", + "improvement_over_parent": null + }, + "node_1958": { + "node_id": "node_1958", + "content": "INITIAL DESIGN (Trace 283)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 162.70 kg\n Factor of Safety: 0.53\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": 162.69941167397047, + "fos_buckling": 0.5325267284040393, + "fos_yielding": 3.0250414365667857, + "deflection": 0.014362119218513512, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1959": { + "node_id": "node_1959", + "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 163.26 kg\n Factor of Safety: 0.53\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.25943313997502, + "fos_buckling": 0.5325267284040391, + "fos_yielding": 3.571822625098102, + "deflection": 0.01418149958158885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.195)" + }, + "parent_node_id": "node_1958", + "improvement_over_parent": null + }, + "node_1960": { + "node_id": "node_1960", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 195.22 kg\n Factor of Safety: 0.62\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.2200690076955, + "fos_buckling": 0.6160225536627856, + "fos_yielding": 4.262520244484423, + "deflection": 0.011902180488158623, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_1959", + "improvement_over_parent": null + }, + "node_1961": { + "node_id": "node_1961", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6136886478138, + "fos_buckling": 1.5258653664820336, + "fos_yielding": 4.603771605655408, + "deflection": 0.00696946877887272, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_1960", + "improvement_over_parent": null + }, + "node_1962": { + "node_id": "node_1962", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1961", + "improvement_over_parent": null + }, + "node_1963": { + "node_id": "node_1963", + "content": "INITIAL DESIGN (Trace 284)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 155.42 kg\n Factor of Safety: 0.60\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": 155.42241273190172, + "fos_buckling": 0.5955185641243076, + "fos_yielding": 3.8564990116332947, + "deflection": 0.013842082229228432, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1964": { + "node_id": "node_1964", + "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 160.11 kg\n Factor of Safety: 0.60\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": 160.1137342567668, + "fos_buckling": 0.5951508505598235, + "fos_yielding": 3.8559061859363077, + "deflection": 0.013849394455017061, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.309)" + }, + "parent_node_id": "node_1963", + "improvement_over_parent": null + }, + "node_1965": { + "node_id": "node_1965", + "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 167.48 kg\n Factor of Safety: 0.59\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.48272338877405, + "fos_buckling": 0.5945741729310164, + "fos_yielding": 3.8549753607627966, + "deflection": 0.013860880283068174, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.387)" + }, + "parent_node_id": "node_1964", + "improvement_over_parent": null + }, + "node_1966": { + "node_id": "node_1966", + "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 172.14 kg\n Factor of Safety: 0.59\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.1423885200141, + "fos_buckling": 0.5942100962502364, + "fos_yielding": 3.854386999908506, + "deflection": 0.01386814316696098, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.244)" + }, + "parent_node_id": "node_1965", + "improvement_over_parent": null + }, + "node_1967": { + "node_id": "node_1967", + "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 172.78 kg\n Factor of Safety: 0.59\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.78308998341714, + "fos_buckling": 0.5941100537057735, + "fos_yielding": 3.854225232786825, + "deflection": 0.013696598553408318, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.403)" + }, + "parent_node_id": "node_1966", + "improvement_over_parent": null + }, + "node_1968": { + "node_id": "node_1968", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.56 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.56068472630264, + "fos_buckling": 0.9804848011063992, + "fos_yielding": 4.587223443676552, + "deflection": 0.00881977398593861, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_1967", + "improvement_over_parent": null + }, + "node_1969": { + "node_id": "node_1969", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.65 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.65183285496295, + "fos_buckling": 1.5259445934768323, + "fos_yielding": 4.604220749832808, + "deflection": 0.006968510603084817, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_1968", + "improvement_over_parent": null + }, + "node_1970": { + "node_id": "node_1970", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1969", + "improvement_over_parent": null + }, + "node_1971": { + "node_id": "node_1971", + "content": "INITIAL DESIGN (Trace 285)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 130.42 kg\n Factor of Safety: 0.55\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.4199603903962, + "fos_buckling": 0.552889591098079, + "fos_yielding": 3.719806577474454, + "deflection": 0.019528060571628293, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1972": { + "node_id": "node_1972", + "content": "MODIFICATION: Increase 1 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 139.44 kg\n Factor of Safety: 0.55\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.4370596781023, + "fos_buckling": 0.552231753425366, + "fos_yielding": 3.7184043507063924, + "deflection": 0.01787042959030191, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.626)" + }, + "parent_node_id": "node_1971", + "improvement_over_parent": null + }, + "node_1973": { + "node_id": "node_1973", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 160.59 kg\n Factor of Safety: 0.62\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.5897617969203, + "fos_buckling": 0.6193016965348271, + "fos_yielding": 4.274575090915152, + "deflection": 0.015533105929012712, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_1972", + "improvement_over_parent": null + }, + "node_1974": { + "node_id": "node_1974", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 192.98 kg\n Factor of Safety: 1.01\n Max Deflection: 8.98e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.9833814370386, + "fos_buckling": 1.0061446555374831, + "fos_yielding": 5.149616235502758, + "deflection": 0.008980800278672292, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_1973", + "improvement_over_parent": null + }, + "node_1975": { + "node_id": "node_1975", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 218.10 kg\n Factor of Safety: 1.42\n Max Deflection: 7.22e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.10267641453953, + "fos_buckling": 1.4155501544235938, + "fos_yielding": 4.60639537968785, + "deflection": 0.007224881318251317, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_1974", + "improvement_over_parent": null + }, + "node_1976": { + "node_id": "node_1976", + "content": "MODIFICATION: Increase 8 thickness by 67%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0136)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 236.66 kg\n Factor of Safety: 1.42\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": 236.66406915249013, + "fos_buckling": 1.4159356420453426, + "fos_yielding": 4.682312227623341, + "deflection": 0.00680898649935545, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.667)" + }, + "parent_node_id": "node_1975", + "improvement_over_parent": null + }, + "node_1977": { + "node_id": "node_1977", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1976", + "improvement_over_parent": null + }, + "node_1978": { + "node_id": "node_1978", + "content": "INITIAL DESIGN (Trace 286)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0030)]\n\nPerformance:\n Mass: 113.22 kg\n Factor of Safety: 0.45\n Max Deflection: 2.12e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.21662056120098, + "fos_buckling": 0.4482515563484491, + "fos_yielding": 3.1594581498804133, + "deflection": 0.02116400706601959, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1979": { + "node_id": "node_1979", + "content": "MODIFICATION: Increase 8 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n Mass: 120.64 kg\n Factor of Safety: 0.65\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.63647603502187, + "fos_buckling": 0.654487128451914, + "fos_yielding": 3.1594581498804137, + "deflection": 0.018642849924106298, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.610)" + }, + "parent_node_id": "node_1978", + "improvement_over_parent": null + }, + "node_1980": { + "node_id": "node_1980", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 152.67 kg\n Factor of Safety: 0.80\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.67070084913018, + "fos_buckling": 0.8018061325359204, + "fos_yielding": 3.9879747647894264, + "deflection": 0.014748246187878171, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_1979", + "improvement_over_parent": null + }, + "node_1981": { + "node_id": "node_1981", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n\nPerformance:\n Mass: 169.94 kg\n Factor of Safety: 0.79\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.9351826103759, + "fos_buckling": 0.791522949902862, + "fos_yielding": 4.061621198483931, + "deflection": 0.014708742279296144, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005269)" + }, + "parent_node_id": "node_1980", + "improvement_over_parent": null + }, + "node_1982": { + "node_id": "node_1982", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n Mass: 171.80 kg\n Factor of Safety: 1.24\n Max Deflection: 9.31e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.79900238926348, + "fos_buckling": 1.23965477511879, + "fos_yielding": 3.6053135463954087, + "deflection": 0.009312373462875381, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002898)" + }, + "parent_node_id": "node_1981", + "improvement_over_parent": null + }, + "node_1983": { + "node_id": "node_1983", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n\nPerformance:\n Mass: 192.94 kg\n Factor of Safety: 1.37\n Max Deflection: 8.31e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.93504235212114, + "fos_buckling": 1.3658402370535587, + "fos_yielding": 4.044875703679973, + "deflection": 0.008310425113515754, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_1982", + "improvement_over_parent": null + }, + "node_1984": { + "node_id": "node_1984", + "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n\nPerformance:\n Mass: 199.66 kg\n Factor of Safety: 1.37\n Max Deflection: 7.92e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.66417429471744, + "fos_buckling": 1.3722976327671466, + "fos_yielding": 4.042341446755991, + "deflection": 0.007920285941933785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.410)" + }, + "parent_node_id": "node_1983", + "improvement_over_parent": null + }, + "node_1985": { + "node_id": "node_1985", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.83 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.82971082029312, + "fos_buckling": 1.5269059847138353, + "fos_yielding": 4.608176641603775, + "deflection": 0.006963137708597169, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_1984", + "improvement_over_parent": null + }, + "node_1986": { + "node_id": "node_1986", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1985", + "improvement_over_parent": null + }, + "node_1987": { + "node_id": "node_1987", + "content": "INITIAL DESIGN (Trace 287)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\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_1988": { + "node_id": "node_1988", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n\nPerformance:\n Mass: 175.32 kg\n Factor of Safety: 0.90\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.3224041017073, + "fos_buckling": 0.9046592455695323, + "fos_yielding": 3.3564121370610014, + "deflection": 0.010376792152294787, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006439)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 194.07 kg\n Factor of Safety: 0.98\n Max Deflection: 9.39e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.06859525936966, + "fos_buckling": 0.9815768331530845, + "fos_yielding": 3.7187802716702505, + "deflection": 0.009393374597106369, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_1988", + "improvement_over_parent": null + }, + "node_1990": { + "node_id": "node_1990", + "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 204.24 kg\n Factor of Safety: 0.98\n Max Deflection: 8.90e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.23917824341544, + "fos_buckling": 0.980270640603165, + "fos_yielding": 3.7897098105383207, + "deflection": 0.00890103519723852, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.616)" + }, + "parent_node_id": "node_1989", + "improvement_over_parent": null + }, + "node_1991": { + "node_id": "node_1991", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 226.33 kg\n Factor of Safety: 1.41\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.33032637207575, + "fos_buckling": 1.4058213737280376, + "fos_yielding": 3.806163038582182, + "deflection": 0.007080166534659525, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_1990", + "improvement_over_parent": null + }, + "node_1992": { + "node_id": "node_1992", + "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0100)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 233.11 kg\n Factor of Safety: 1.41\n Max Deflection: 6.89e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.1140919521978, + "fos_buckling": 1.4052115382454375, + "fos_yielding": 3.8045119516682497, + "deflection": 0.006887913689481652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.236)" + }, + "parent_node_id": "node_1991", + "improvement_over_parent": null + }, + "node_1993": { + "node_id": "node_1993", + "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0100)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 233.84 kg\n Factor of Safety: 1.51\n Max Deflection: 6.83e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 233.83985941953338, + "fos_buckling": 1.512321834126363, + "fos_yielding": 4.457499175478534, + "deflection": 0.006833243729291949, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.192)" + }, + "parent_node_id": "node_1992", + "improvement_over_parent": null + }, + "node_1994": { + "node_id": "node_1994", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1993", + "improvement_over_parent": null + }, + "node_1995": { + "node_id": "node_1995", + "content": "INITIAL DESIGN (Trace 288)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 140.94 kg\n Factor of Safety: 0.73\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": 140.9394585257653, + "fos_buckling": 0.7272934448329494, + "fos_yielding": 3.207873028412451, + "deflection": 0.012545173606554017, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1996": { + "node_id": "node_1996", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 175.33 kg\n Factor of Safety: 0.87\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.33191689575258, + "fos_buckling": 0.8745992849055582, + "fos_yielding": 3.985683674339296, + "deflection": 0.010126489431936852, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_1995", + "improvement_over_parent": null + }, + "node_1997": { + "node_id": "node_1997", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 201.99 kg\n Factor of Safety: 0.98\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": 201.98513539044157, + "fos_buckling": 0.9808243382066317, + "fos_yielding": 4.587130818279615, + "deflection": 0.0088185766285557, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_1996", + "improvement_over_parent": null + }, + "node_1998": { + "node_id": "node_1998", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.60 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.60166429973617, + "fos_buckling": 1.5257979709706753, + "fos_yielding": 4.603521895835665, + "deflection": 0.006969928565467962, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_1997", + "improvement_over_parent": null + }, + "node_1999": { + "node_id": "node_1999", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1998", + "improvement_over_parent": null + }, + "node_2000": { + "node_id": "node_2000", + "content": "INITIAL DESIGN (Trace 289)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n Mass: 114.29 kg\n Factor of Safety: 0.66\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 114.28911273368021, + "fos_buckling": 0.661436686935344, + "fos_yielding": 2.6504834058376843, + "deflection": 0.017003774678231384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2001": { + "node_id": "node_2001", + "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n Mass: 114.84 kg\n Factor of Safety: 0.66\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 114.84109805766138, + "fos_buckling": 0.661436686935344, + "fos_yielding": 3.2154526040074383, + "deflection": 0.017003774678231384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.225)" + }, + "parent_node_id": "node_2000", + "improvement_over_parent": null + }, + "node_2002": { + "node_id": "node_2002", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n\nPerformance:\n Mass: 128.37 kg\n Factor of Safety: 0.66\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.36908674944897, + "fos_buckling": 0.6602545410474296, + "fos_yielding": 2.8727446202820923, + "deflection": 0.013991522933096426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004110)" + }, + "parent_node_id": "node_2001", + "improvement_over_parent": null + }, + "node_2003": { + "node_id": "node_2003", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n\nPerformance:\n Mass: 157.63 kg\n Factor of Safety: 0.79\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.63038419888508, + "fos_buckling": 0.7883199902651024, + "fos_yielding": 3.523828277217741, + "deflection": 0.011434595759092817, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_2002", + "improvement_over_parent": null + }, + "node_2004": { + "node_id": "node_2004", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n\nPerformance:\n Mass: 174.57 kg\n Factor of Safety: 1.23\n Max Deflection: 9.03e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.56766284468858, + "fos_buckling": 1.2267103449336967, + "fos_yielding": 3.537084298475768, + "deflection": 0.009033241605542898, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005162)" + }, + "parent_node_id": "node_2003", + "improvement_over_parent": null + }, + "node_2005": { + "node_id": "node_2005", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n\nPerformance:\n Mass: 199.86 kg\n Factor of Safety: 1.37\n Max Deflection: 7.91e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.86127737454953, + "fos_buckling": 1.3735553963699512, + "fos_yielding": 4.046116017286769, + "deflection": 0.007912554274256862, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_2004", + "improvement_over_parent": null + }, + "node_2006": { + "node_id": "node_2006", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.51 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.51288608812618, + "fos_buckling": 1.5253687999792411, + "fos_yielding": 4.601606062239239, + "deflection": 0.006972502534609091, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_2005", + "improvement_over_parent": null + }, + "node_2007": { + "node_id": "node_2007", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2006", + "improvement_over_parent": null + }, + "node_2008": { + "node_id": "node_2008", + "content": "INITIAL DESIGN (Trace 290)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n Mass: 124.35 kg\n Factor of Safety: 0.59\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": 124.3473739676779, + "fos_buckling": 0.5948070431016539, + "fos_yielding": 3.071436787845029, + "deflection": 0.014276434167797048, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2009": { + "node_id": "node_2009", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 154.32 kg\n Factor of Safety: 0.72\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.31566231790435, + "fos_buckling": 0.7198802266403023, + "fos_yielding": 3.8025108986315614, + "deflection": 0.011544238215187838, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_2008", + "improvement_over_parent": null + }, + "node_2010": { + "node_id": "node_2010", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n\nPerformance:\n Mass: 172.82 kg\n Factor of Safety: 1.09\n Max Deflection: 9.22e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.82493483392523, + "fos_buckling": 1.0920991862328238, + "fos_yielding": 3.814802986003672, + "deflection": 0.009220410809153244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005679)" + }, + "parent_node_id": "node_2009", + "improvement_over_parent": null + }, + "node_2011": { + "node_id": "node_2011", + "content": "MODIFICATION: Increase 8 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0090)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n\nPerformance:\n Mass: 182.66 kg\n Factor of Safety: 1.09\n Max Deflection: 8.98e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.66348223724808, + "fos_buckling": 1.0890390556095542, + "fos_yielding": 3.7721306438352316, + "deflection": 0.008978842997520211, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.527)" + }, + "parent_node_id": "node_2010", + "improvement_over_parent": null + }, + "node_2012": { + "node_id": "node_2012", + "content": "MODIFICATION: Increase 1 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0090)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n\nPerformance:\n Mass: 188.74 kg\n Factor of Safety: 1.09\n Max Deflection: 8.64e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.7407347203323, + "fos_buckling": 1.090569414762401, + "fos_yielding": 3.819517840858446, + "deflection": 0.0086422812219079, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.372)" + }, + "parent_node_id": "node_2011", + "improvement_over_parent": null + }, + "node_2013": { + "node_id": "node_2013", + "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0090)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n\nPerformance:\n Mass: 191.85 kg\n Factor of Safety: 1.13\n Max Deflection: 8.49e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.85150878843496, + "fos_buckling": 1.128833725489425, + "fos_yielding": 3.8203297634085804, + "deflection": 0.008490383196078467, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.229)" + }, + "parent_node_id": "node_2012", + "improvement_over_parent": null + }, + "node_2014": { + "node_id": "node_2014", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0109)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 228.69 kg\n Factor of Safety: 1.31\n Max Deflection: 7.14e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.69438609884955, + "fos_buckling": 1.3138874618252974, + "fos_yielding": 4.552393220748375, + "deflection": 0.0071436071341164685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_2013", + "improvement_over_parent": null + }, + "node_2015": { + "node_id": "node_2015", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2014", + "improvement_over_parent": null + }, + "node_2016": { + "node_id": "node_2016", + "content": "INITIAL DESIGN (Trace 291)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 168.25 kg\n Factor of Safety: 0.90\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": 168.25234503916755, + "fos_buckling": 0.897554479473527, + "fos_yielding": 3.2647062422680424, + "deflection": 0.010006788593494995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2017": { + "node_id": "node_2017", + "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 171.43 kg\n Factor of Safety: 0.90\n Max Deflection: 9.92e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.43101481735297, + "fos_buckling": 0.897179639869911, + "fos_yielding": 3.2491474714912636, + "deflection": 0.00992192594608353, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.179)" + }, + "parent_node_id": "node_2016", + "improvement_over_parent": null + }, + "node_2018": { + "node_id": "node_2018", + "content": "MODIFICATION: Increase 2 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 174.00 kg\n Factor of Safety: 0.90\n Max Deflection: 9.93e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.00494017136486, + "fos_buckling": 0.8968763431209863, + "fos_yielding": 3.2490137266575023, + "deflection": 0.009925146623388012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.236)" + }, + "parent_node_id": "node_2017", + "improvement_over_parent": null + }, + "node_2019": { + "node_id": "node_2019", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n\nPerformance:\n Mass: 196.91 kg\n Factor of Safety: 1.23\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": 196.90774573631467, + "fos_buckling": 1.2288079066074724, + "fos_yielding": 3.259557038918564, + "deflection": 0.008051398370040345, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006367)" + }, + "parent_node_id": "node_2018", + "improvement_over_parent": null + }, + "node_2020": { + "node_id": "node_2020", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 220.27 kg\n Factor of Safety: 1.36\n Max Deflection: 7.22e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.26582548361753, + "fos_buckling": 1.356365750077237, + "fos_yielding": 3.6512247585878987, + "deflection": 0.007215808992468731, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_2019", + "improvement_over_parent": null + }, + "node_2021": { + "node_id": "node_2021", + "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 221.32 kg\n Factor of Safety: 1.41\n Max Deflection: 7.13e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.3219412361581, + "fos_buckling": 1.411379245363104, + "fos_yielding": 4.600256740414771, + "deflection": 0.0071344769386356335, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.292)" + }, + "parent_node_id": "node_2020", + "improvement_over_parent": null + }, + "node_2022": { + "node_id": "node_2022", + "content": "MODIFICATION: Increase 2 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.59 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5943504383695, + "fos_buckling": 1.5256844361509574, + "fos_yielding": 4.601499485591236, + "deflection": 0.006970158040550432, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.435)" + }, + "parent_node_id": "node_2021", + "improvement_over_parent": null + }, + "node_2023": { + "node_id": "node_2023", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2022", + "improvement_over_parent": null + }, + "node_2024": { + "node_id": "node_2024", + "content": "INITIAL DESIGN (Trace 292)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 148.13 kg\n Factor of Safety: 0.49\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.1296260120497, + "fos_buckling": 0.48733848478159775, + "fos_yielding": 3.0401729030866456, + "deflection": 0.015479893874766183, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2025": { + "node_id": "node_2025", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 188.05 kg\n Factor of Safety: 0.59\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": 188.04569730185037, + "fos_buckling": 0.5925777499000209, + "fos_yielding": 3.8495902427599247, + "deflection": 0.01225187804448006, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_2024", + "improvement_over_parent": null + }, + "node_2026": { + "node_id": "node_2026", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 220.82 kg\n Factor of Safety: 1.39\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": 220.82329204473587, + "fos_buckling": 1.3904456393683209, + "fos_yielding": 4.599758239698813, + "deflection": 0.007151216715179825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_2025", + "improvement_over_parent": null + }, + "node_2027": { + "node_id": "node_2027", + "content": "MODIFICATION: Increase 2 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.49 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.49423814237045, + "fos_buckling": 1.525775237355716, + "fos_yielding": 4.601113549462879, + "deflection": 0.006973017503778296, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.475)" + }, + "parent_node_id": "node_2026", + "improvement_over_parent": null + }, + "node_2028": { + "node_id": "node_2028", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2027", + "improvement_over_parent": null + }, + "node_2029": { + "node_id": "node_2029", + "content": "INITIAL DESIGN (Trace 293)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n\nPerformance:\n Mass: 115.05 kg\n Factor of Safety: 1.28\n Max Deflection: 1.74e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.0547637150637, + "fos_buckling": 1.2838167212445701, + "fos_yielding": 3.3777049809751607, + "deflection": 17408006054396.023, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2030": { + "node_id": "node_2030", + "content": "MODIFICATION: Increase 1 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n\nPerformance:\n Mass: 122.32 kg\n Factor of Safety: 0.69\n Max Deflection: 1.35e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.31715274281639, + "fos_buckling": 0.6867844295500186, + "fos_yielding": 3.3777049809751607, + "deflection": 13549741695407.277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.513)" + }, + "parent_node_id": "node_2029", + "improvement_over_parent": null + }, + "node_2031": { + "node_id": "node_2031", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 154.24 kg\n Factor of Safety: 0.37\n Max Deflection: 5.92e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.2364347883915, + "fos_buckling": 0.3658486325613064, + "fos_yielding": 2.934270767992719, + "deflection": 59249303839561.414, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_2030", + "improvement_over_parent": null + }, + "node_2032": { + "node_id": "node_2032", + "content": "MODIFICATION: Increase 0 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 159.89 kg\n Factor of Safety: 0.62\n Max Deflection: 1.08e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.88556086953184, + "fos_buckling": 0.6202457179826899, + "fos_yielding": 3.6548753404219045, + "deflection": 10846930767802.156, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.451)" + }, + "parent_node_id": "node_2031", + "improvement_over_parent": null + }, + "node_2033": { + "node_id": "node_2033", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 185.00 kg\n Factor of Safety: 0.59\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.0048558470328, + "fos_buckling": 0.5930379506833172, + "fos_yielding": 3.1965411753957023, + "deflection": 0.012732779307320401, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_2032", + "improvement_over_parent": null + }, + "node_2034": { + "node_id": "node_2034", + "content": "MODIFICATION: Increase 0 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 193.98 kg\n Factor of Safety: 0.59\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.98183173869464, + "fos_buckling": 0.5923404978428172, + "fos_yielding": 3.195601948846134, + "deflection": 0.012284114038304674, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.520)" + }, + "parent_node_id": "node_2033", + "improvement_over_parent": null + }, + "node_2035": { + "node_id": "node_2035", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 226.76 kg\n Factor of Safety: 1.41\n Max Deflection: 7.03e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.75942648158014, + "fos_buckling": 1.4144170352658965, + "fos_yielding": 3.8343129470316453, + "deflection": 0.007032013818996055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_2034", + "improvement_over_parent": null + }, + "node_2036": { + "node_id": "node_2036", + "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.61437594405794, + "fos_buckling": 1.525740205021114, + "fos_yielding": 4.602780980466038, + "deflection": 0.00696955980446072, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.225)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 294)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 159.42 kg\n Factor of Safety: 0.42\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.4197239364355, + "fos_buckling": 0.41892821940336794, + "fos_yielding": 3.5872961681747304, + "deflection": 0.015356854662585719, + "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: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 189.83 kg\n Factor of Safety: 0.49\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": 189.82939184135864, + "fos_buckling": 0.48838336298771307, + "fos_yielding": 4.262082770817626, + "deflection": 0.01292759620286671, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_2038", + "improvement_over_parent": null + }, + "node_2040": { + "node_id": "node_2040", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n\nPerformance:\n Mass: 213.12 kg\n Factor of Safety: 1.20\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": 213.11793461449724, + "fos_buckling": 1.1974820867017841, + "fos_yielding": 4.60403425603415, + "deflection": 0.007526230381708997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005663)" + }, + "parent_node_id": "node_2039", + "improvement_over_parent": null + }, + "node_2041": { + "node_id": "node_2041", + "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0103)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n\nPerformance:\n Mass: 222.68 kg\n Factor of Safety: 1.19\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": 222.67555857704247, + "fos_buckling": 1.1905057602678872, + "fos_yielding": 4.60459021491232, + "deflection": 0.007368561047467722, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.429)" + }, + "parent_node_id": "node_2040", + "improvement_over_parent": null + }, + "node_2042": { + "node_id": "node_2042", + "content": "MODIFICATION: Increase 2 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0103)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n\nPerformance:\n Mass: 227.99 kg\n Factor of Safety: 1.32\n Max Deflection: 7.17e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.9934573523471, + "fos_buckling": 1.3202436147749725, + "fos_yielding": 4.60588523553035, + "deflection": 0.007170062565120547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.348)" + }, + "parent_node_id": "node_2041", + "improvement_over_parent": null + }, + "node_2043": { + "node_id": "node_2043", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2042", + "improvement_over_parent": null + }, + "node_2044": { + "node_id": "node_2044", + "content": "INITIAL DESIGN (Trace 295)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n\nPerformance:\n Mass: 119.98 kg\n Factor of Safety: 0.61\n Max Deflection: 2.97e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.98313857828394, + "fos_buckling": 0.6141707874033971, + "fos_yielding": 2.969206995614137, + "deflection": 29712451373581.94, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2045": { + "node_id": "node_2045", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 135.61 kg\n Factor of Safety: 0.73\n Max Deflection: 2.12e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.61271224252488, + "fos_buckling": 0.7316756377059773, + "fos_yielding": 3.3694462215220975, + "deflection": 21166716864003.953, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_2044", + "improvement_over_parent": null + }, + "node_2046": { + "node_id": "node_2046", + "content": "MODIFICATION: Increase 6 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 136.44 kg\n Factor of Safety: 0.73\n Max Deflection: 2.12e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.43587010170296, + "fos_buckling": 0.7316756377059773, + "fos_yielding": 4.211402655195888, + "deflection": 21166716864003.953, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.269)" + }, + "parent_node_id": "node_2045", + "improvement_over_parent": null + }, + "node_2047": { + "node_id": "node_2047", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 161.56 kg\n Factor of Safety: 0.59\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.5551650792039, + "fos_buckling": 0.594943144147976, + "fos_yielding": 3.1556509105989337, + "deflection": 0.017583172814154852, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_2046", + "improvement_over_parent": null + }, + "node_2048": { + "node_id": "node_2048", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 193.95 kg\n Factor of Safety: 0.59\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.9487847193222, + "fos_buckling": 0.5924182921460803, + "fos_yielding": 3.1523050363972853, + "deflection": 0.012297629575119996, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_2047", + "improvement_over_parent": null + }, + "node_2049": { + "node_id": "node_2049", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 226.73 kg\n Factor of Safety: 1.40\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.7263794622077, + "fos_buckling": 1.3983728415160273, + "fos_yielding": 3.7833769341530505, + "deflection": 0.007036372342444605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_2048", + "improvement_over_parent": null + }, + "node_2050": { + "node_id": "node_2050", + "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6409947212545, + "fos_buckling": 1.5260308626117989, + "fos_yielding": 4.605456876147389, + "deflection": 0.0069686862223206575, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.244)" + }, + "parent_node_id": "node_2049", + "improvement_over_parent": null + }, + "node_2051": { + "node_id": "node_2051", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2050", + "improvement_over_parent": null + }, + "node_2052": { + "node_id": "node_2052", + "content": "INITIAL DESIGN (Trace 296)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 170.54 kg\n Factor of Safety: 0.89\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": 170.54262688041993, + "fos_buckling": 0.8947697797294034, + "fos_yielding": 2.6294322881155896, + "deflection": 0.0103400401129023, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2053": { + "node_id": "node_2053", + "content": "MODIFICATION: Increase 4 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 171.35 kg\n Factor of Safety: 0.90\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": 171.35134396587662, + "fos_buckling": 0.900725711204309, + "fos_yielding": 3.6075005376088853, + "deflection": 0.010195535335052115, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.408)" + }, + "parent_node_id": "node_2052", + "improvement_over_parent": null + }, + "node_2054": { + "node_id": "node_2054", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n Mass: 193.29 kg\n Factor of Safety: 1.20\n Max Deflection: 8.19e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.29357609017265, + "fos_buckling": 1.1953283152045637, + "fos_yielding": 3.623167087616541, + "deflection": 0.008192160746016907, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006148)" + }, + "parent_node_id": "node_2053", + "improvement_over_parent": null + }, + "node_2055": { + "node_id": "node_2055", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 221.34 kg\n Factor of Safety: 1.35\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.33525500362816, + "fos_buckling": 1.3479210092238423, + "fos_yielding": 4.155512099809772, + "deflection": 0.007176332039633679, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_2054", + "improvement_over_parent": null + }, + "node_2056": { + "node_id": "node_2056", + "content": "MODIFICATION: Increase 2 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 226.61 kg\n Factor of Safety: 1.33\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.6076137888137, + "fos_buckling": 1.3334731142160539, + "fos_yielding": 4.1109706154714445, + "deflection": 0.0070509364545454385, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.344)" + }, + "parent_node_id": "node_2055", + "improvement_over_parent": null + }, + "node_2057": { + "node_id": "node_2057", + "content": "MODIFICATION: Increase 4 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63927807281704, + "fos_buckling": 1.5260055877063665, + "fos_yielding": 4.604328333947391, + "deflection": 0.006968803540570924, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.339)" + }, + "parent_node_id": "node_2056", + "improvement_over_parent": null + }, + "node_2058": { + "node_id": "node_2058", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2057", + "improvement_over_parent": null + }, + "node_2059": { + "node_id": "node_2059", + "content": "INITIAL DESIGN (Trace 297)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0031)]\n\nPerformance:\n Mass: 159.16 kg\n Factor of Safety: 0.45\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": 159.16331169345133, + "fos_buckling": 0.45136951125781755, + "fos_yielding": 3.1649658079922984, + "deflection": 0.013950949878125061, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2060": { + "node_id": "node_2060", + "content": "MODIFICATION: Increase 9 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n Mass: 165.83 kg\n Factor of Safety: 0.66\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.83491196587303, + "fos_buckling": 0.6558978427952651, + "fos_yielding": 3.1645081711710272, + "deflection": 0.011659304256877025, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.531)" + }, + "parent_node_id": "node_2059", + "improvement_over_parent": null + }, + "node_2061": { + "node_id": "node_2061", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 195.40 kg\n Factor of Safety: 0.76\n Max Deflection: 9.92e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.40123642471835, + "fos_buckling": 0.7585771955615642, + "fos_yielding": 3.739047555241903, + "deflection": 0.009916850219104583, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_2060", + "improvement_over_parent": null + }, + "node_2062": { + "node_id": "node_2062", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 217.06 kg\n Factor of Safety: 1.23\n Max Deflection: 7.48e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.06053270156576, + "fos_buckling": 1.2338095155451805, + "fos_yielding": 3.7596284788281307, + "deflection": 0.007477549549776922, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_2061", + "improvement_over_parent": null + }, + "node_2063": { + "node_id": "node_2063", + "content": "MODIFICATION: Increase 4 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0056)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 218.05 kg\n Factor of Safety: 1.23\n Max Deflection: 7.39e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.0492097912935, + "fos_buckling": 1.2299779195499936, + "fos_yielding": 3.7479529509274534, + "deflection": 0.00739293742791718, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.479)" + }, + "parent_node_id": "node_2062", + "improvement_over_parent": null + }, + "node_2064": { + "node_id": "node_2064", + "content": "MODIFICATION: Increase 10 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0056)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0097)]\n\nPerformance:\n Mass: 226.13 kg\n Factor of Safety: 1.23\n Max Deflection: 7.22e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.13401802989887, + "fos_buckling": 1.2301347220815775, + "fos_yielding": 3.7484307550421634, + "deflection": 0.007224865383816997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.429)" + }, + "parent_node_id": "node_2063", + "improvement_over_parent": null + }, + "node_2065": { + "node_id": "node_2065", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2064", + "improvement_over_parent": null + }, + "node_2066": { + "node_id": "node_2066", + "content": "INITIAL DESIGN (Trace 298)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 168.30 kg\n Factor of Safety: 0.55\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": 168.30321642013223, + "fos_buckling": 0.5483428186894798, + "fos_yielding": 2.898751370907796, + "deflection": 0.013965127692853381, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2067": { + "node_id": "node_2067", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 194.36 kg\n Factor of Safety: 0.62\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": 194.35777486085726, + "fos_buckling": 0.6162060922276293, + "fos_yielding": 3.352605529481738, + "deflection": 0.012125389054731858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_2066", + "improvement_over_parent": null + }, + "node_2068": { + "node_id": "node_2068", + "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 195.29 kg\n Factor of Safety: 0.62\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.29451173434293, + "fos_buckling": 0.6162060922276293, + "fos_yielding": 4.265342326729121, + "deflection": 0.011897574313636318, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.299)" + }, + "parent_node_id": "node_2067", + "improvement_over_parent": null + }, + "node_2069": { + "node_id": "node_2069", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.69 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.68813137446122, + "fos_buckling": 1.5263159517373457, + "fos_yielding": 4.605488097649103, + "deflection": 0.006967242278068666, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_2068", + "improvement_over_parent": null + }, + "node_2070": { + "node_id": "node_2070", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2069", + "improvement_over_parent": null + }, + "node_2071": { + "node_id": "node_2071", + "content": "INITIAL DESIGN (Trace 299)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 164.96 kg\n Factor of Safety: 0.62\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": 164.95629124093617, + "fos_buckling": 0.6185219478936673, + "fos_yielding": 4.2667900637981955, + "deflection": 0.013966290381660066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2072": { + "node_id": "node_2072", + "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 170.11 kg\n Factor of Safety: 0.62\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": 170.10981851600278, + "fos_buckling": 0.6181029891381136, + "fos_yielding": 4.265873119843683, + "deflection": 0.01340955917474406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.245)" + }, + "parent_node_id": "node_2071", + "improvement_over_parent": null + }, + "node_2073": { + "node_id": "node_2073", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 202.50 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.50343815612106, + "fos_buckling": 1.004202520136049, + "fos_yielding": 5.145326395534688, + "deflection": 0.008712879131747456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_2072", + "improvement_over_parent": null + }, + "node_2074": { + "node_id": "node_2074", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.62 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.622733133622, + "fos_buckling": 1.5260907160762598, + "fos_yielding": 4.604134050111113, + "deflection": 0.006969319874947072, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 300)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, 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_2077": { + "node_id": "node_2077", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n\nPerformance:\n Mass: 124.82 kg\n Factor of Safety: 0.37\n Max Deflection: 7.33e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.81930554463649, + "fos_buckling": 0.37233711778825873, + "fos_yielding": 4.038089464676472, + "deflection": 73254173144141.36, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005328)" + }, + "parent_node_id": "node_2076", + "improvement_over_parent": null + }, + "node_2078": { + "node_id": "node_2078", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 150.71 kg\n Factor of Safety: 0.81\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.70520717962762, + "fos_buckling": 0.809516612771982, + "fos_yielding": 4.038089464676471, + "deflection": 0.014805823166847028, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006299)" + }, + "parent_node_id": "node_2077", + "improvement_over_parent": null + }, + "node_2079": { + "node_id": "node_2079", + "content": "MODIFICATION: Increase 1 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 157.64 kg\n Factor of Safety: 0.81\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.6430846836732, + "fos_buckling": 0.8087771786487264, + "fos_yielding": 4.0356561998861284, + "deflection": 0.013383588984785503, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.484)" + }, + "parent_node_id": "node_2078", + "improvement_over_parent": null + }, + "node_2080": { + "node_id": "node_2080", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n Mass: 159.53 kg\n Factor of Safety: 0.81\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.52666605370737, + "fos_buckling": 0.8083762426806658, + "fos_yielding": 3.6285961416962356, + "deflection": 0.011108391158300025, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002931)" + }, + "parent_node_id": "node_2079", + "improvement_over_parent": null + }, + "node_2081": { + "node_id": "node_2081", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 201.96 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.96032751628476, + "fos_buckling": 0.9807648068768482, + "fos_yielding": 4.586717224835261, + "deflection": 0.008819548708233706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.58 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.57685642557936, + "fos_buckling": 1.52586669316346, + "fos_yielding": 4.603102975579797, + "deflection": 0.0069707126991190764, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 301)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n\nPerformance:\n Mass: 74.12 kg\n Factor of Safety: 0.08\n Max Deflection: 1.08e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 74.11935458318908, + "fos_buckling": 0.08393744132000786, + "fos_yielding": 0.45685941755273807, + "deflection": 107685530420784.86, + "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 all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n\nPerformance:\n Mass: 82.98 kg\n Factor of Safety: 0.77\n Max Deflection: 4.02e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 82.98308415382904, + "fos_buckling": 0.7683901984464333, + "fos_yielding": 2.9274314354788005, + "deflection": 40236176654995.734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_2084", + "improvement_over_parent": null + }, + "node_2086": { + "node_id": "node_2086", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n Mass: 101.56 kg\n Factor of Safety: 1.00\n Max Deflection: 7.77e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 101.55823663930445, + "fos_buckling": 0.9954812837728212, + "fos_yielding": 2.6579302214712017, + "deflection": 77749764898356.39, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_2085", + "improvement_over_parent": null + }, + "node_2087": { + "node_id": "node_2087", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n\nPerformance:\n Mass: 125.60 kg\n Factor of Safety: 0.46\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.59732582503729, + "fos_buckling": 0.46418665413076177, + "fos_yielding": 2.8671746398779705, + "deflection": 0.018358277389911044, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005858)" + }, + "parent_node_id": "node_2086", + "improvement_over_parent": null + }, + "node_2088": { + "node_id": "node_2088", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n\nPerformance:\n Mass: 144.61 kg\n Factor of Safety: 0.46\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.60595090372564, + "fos_buckling": 0.46302330635127065, + "fos_yielding": 2.8653864655770183, + "deflection": 0.0162036610603892, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005209)" + }, + "parent_node_id": "node_2087", + "improvement_over_parent": null + }, + "node_2089": { + "node_id": "node_2089", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n\nPerformance:\n Mass: 168.14 kg\n Factor of Safety: 0.53\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.13500667786178, + "fos_buckling": 0.525588256476963, + "fos_yielding": 3.327773828724181, + "deflection": 0.013972607393118775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_2088", + "improvement_over_parent": null + }, + "node_2090": { + "node_id": "node_2090", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 196.43 kg\n Factor of Safety: 1.35\n Max Deflection: 8.05e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.42867071160356, + "fos_buckling": 1.3543284827691509, + "fos_yielding": 3.9772380335793716, + "deflection": 0.008047683983965182, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006933)" + }, + "parent_node_id": "node_2089", + "improvement_over_parent": null + }, + "node_2091": { + "node_id": "node_2091", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.54 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5428360663573, + "fos_buckling": 1.5257950458984408, + "fos_yielding": 4.6023801915014975, + "deflection": 0.006971580390100493, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_2090", + "improvement_over_parent": null + }, + "node_2092": { + "node_id": "node_2092", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2091", + "improvement_over_parent": null + }, + "node_2093": { + "node_id": "node_2093", + "content": "INITIAL DESIGN (Trace 302)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0034)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0030)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0036)]\n\nPerformance:\n Mass: 86.24 kg\n Factor of Safety: 0.26\n Max Deflection: 7.77e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 86.24221358983147, + "fos_buckling": 0.26151787338957055, + "fos_yielding": 1.9959661299320037, + "deflection": 0.07772637052854246, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2094": { + "node_id": "node_2094", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0034)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0030)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0036)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n\nPerformance:\n Mass: 87.35 kg\n Factor of Safety: 0.32\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": 87.35107417184355, + "fos_buckling": 0.3185073491549524, + "fos_yielding": 1.9957804480967136, + "deflection": 0.028361962262964245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.001676)" + }, + "parent_node_id": "node_2093", + "improvement_over_parent": null + }, + "node_2095": { + "node_id": "node_2095", + "content": "MODIFICATION: Increase 7 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0034)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0030)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0036)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n\nPerformance:\n Mass: 92.04 kg\n Factor of Safety: 0.32\n Max Deflection: 2.81e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 92.04492096715674, + "fos_buckling": 0.31830891216616153, + "fos_yielding": 1.9953875630651712, + "deflection": 0.02809207946304436, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.425)" + }, + "parent_node_id": "node_2094", + "improvement_over_parent": null + }, + "node_2096": { + "node_id": "node_2096", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n\nPerformance:\n Mass: 109.82 kg\n Factor of Safety: 0.37\n Max Deflection: 2.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 109.82458488301435, + "fos_buckling": 0.37347053259605967, + "fos_yielding": 2.3792689176500983, + "deflection": 0.02356323138084045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_2095", + "improvement_over_parent": null + }, + "node_2097": { + "node_id": "node_2097", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n\nPerformance:\n Mass: 127.80 kg\n Factor of Safety: 0.88\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.80333921364218, + "fos_buckling": 0.8759061786597229, + "fos_yielding": 2.540162273345393, + "deflection": 0.012473571502264358, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.004308)" + }, + "parent_node_id": "node_2096", + "improvement_over_parent": null + }, + "node_2098": { + "node_id": "node_2098", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n\nPerformance:\n Mass: 144.47 kg\n Factor of Safety: 0.98\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.4664550070537, + "fos_buckling": 0.9768425959405675, + "fos_yielding": 2.870574953318484, + "deflection": 0.011052643636409424, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_2097", + "improvement_over_parent": null + }, + "node_2099": { + "node_id": "node_2099", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n\nPerformance:\n Mass: 186.78 kg\n Factor of Safety: 1.22\n Max Deflection: 8.58e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.7785858619536, + "fos_buckling": 1.2196582827650795, + "fos_yielding": 3.7089880143146807, + "deflection": 0.008583494624072431, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_2098", + "improvement_over_parent": null + }, + "node_2100": { + "node_id": "node_2100", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0102)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 229.96 kg\n Factor of Safety: 1.45\n Max Deflection: 7.00e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.95667338135786, + "fos_buckling": 1.4476935884506938, + "fos_yielding": 4.563896269808587, + "deflection": 0.007000159424052272, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_2099", + "improvement_over_parent": null + }, + "node_2101": { + "node_id": "node_2101", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2100", + "improvement_over_parent": null + }, + "node_2102": { + "node_id": "node_2102", + "content": "INITIAL DESIGN (Trace 303)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 141.50 kg\n Factor of Safety: 0.76\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": 141.49548788518845, + "fos_buckling": 0.7635143038052628, + "fos_yielding": 3.707175157354663, + "deflection": 0.014617846724186596, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2103": { + "node_id": "node_2103", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n\nPerformance:\n Mass: 157.10 kg\n Factor of Safety: 0.76\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.09618054803997, + "fos_buckling": 0.7591064548077372, + "fos_yielding": 3.697677164228311, + "deflection": 0.014648558014650311, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004781)" + }, + "parent_node_id": "node_2102", + "improvement_over_parent": null + }, + "node_2104": { + "node_id": "node_2104", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n\nPerformance:\n Mass: 178.01 kg\n Factor of Safety: 0.84\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.00579094861277, + "fos_buckling": 0.844676691577752, + "fos_yielding": 4.1851790822287045, + "deflection": 0.012947451899696764, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_2103", + "improvement_over_parent": null + }, + "node_2105": { + "node_id": "node_2105", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n Mass: 179.95 kg\n Factor of Safety: 1.15\n Max Deflection: 8.74e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.95143590500194, + "fos_buckling": 1.1500408419887793, + "fos_yielding": 3.7604476049941296, + "deflection": 0.008736782545578997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003035)" + }, + "parent_node_id": "node_2104", + "improvement_over_parent": null + }, + "node_2106": { + "node_id": "node_2106", + "content": "MODIFICATION: Increase 2 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n Mass: 185.72 kg\n Factor of Safety: 1.29\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": 185.7199764036686, + "fos_buckling": 1.2923672048808115, + "fos_yielding": 3.761715673127855, + "deflection": 0.008501594362450543, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.506)" + }, + "parent_node_id": "node_2105", + "improvement_over_parent": null + }, + "node_2107": { + "node_id": "node_2107", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.66 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6649588330747, + "fos_buckling": 1.52614308135254, + "fos_yielding": 4.604759743483414, + "deflection": 0.0069680472892008505, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_2106", + "improvement_over_parent": null + }, + "node_2108": { + "node_id": "node_2108", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2107", + "improvement_over_parent": null + }, + "node_2109": { + "node_id": "node_2109", + "content": "INITIAL DESIGN (Trace 304)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0070)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0073)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\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_2110": { + "node_id": "node_2110", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0070)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0073)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0065)]\n\nPerformance:\n Mass: 156.68 kg\n Factor of Safety: 0.91\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.68295610387992, + "fos_buckling": 0.9096450180995707, + "fos_yielding": 4.668752311926998, + "deflection": 0.011777188512472756, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006464)" + }, + "parent_node_id": "node_2109", + "improvement_over_parent": null + }, + "node_2111": { + "node_id": "node_2111", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 172.99 kg\n Factor of Safety: 0.99\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": 172.98554821072025, + "fos_buckling": 0.9852239544464346, + "fos_yielding": 5.152180255139081, + "deflection": 0.010694373334569601, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_2110", + "improvement_over_parent": null + }, + "node_2112": { + "node_id": "node_2112", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 195.08 kg\n Factor of Safety: 1.01\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": 195.07669633938056, + "fos_buckling": 1.0057335812171941, + "fos_yielding": 5.152180255139081, + "deflection": 0.008698267645651812, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_2111", + "improvement_over_parent": null + }, + "node_2113": { + "node_id": "node_2113", + "content": "MODIFICATION: Increase 3 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0081)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 197.27 kg\n Factor of Safety: 1.01\n Max Deflection: 8.60e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.27407650065174, + "fos_buckling": 1.0057335812171944, + "fos_yielding": 5.152180255139081, + "deflection": 0.008604524094906071, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.587)" + }, + "parent_node_id": "node_2112", + "improvement_over_parent": null + }, + "node_2114": { + "node_id": "node_2114", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0081)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 222.39 kg\n Factor of Safety: 1.35\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.3933714781527, + "fos_buckling": 1.3539615633243727, + "fos_yielding": 4.6693234994526485, + "deflection": 0.007080541011007974, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_2113", + "improvement_over_parent": null + }, + "node_2115": { + "node_id": "node_2115", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2114", + "improvement_over_parent": null + }, + "node_2116": { + "node_id": "node_2116", + "content": "INITIAL DESIGN (Trace 305)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n Mass: 130.82 kg\n Factor of Safety: 0.97\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.81950838226902, + "fos_buckling": 0.9688862415417128, + "fos_yielding": 2.703135737039112, + "deflection": 0.01205543112620207, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2117": { + "node_id": "node_2117", + "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n Mass: 133.19 kg\n Factor of Safety: 0.97\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.18657463950268, + "fos_buckling": 0.9697962738777121, + "fos_yielding": 2.7023887667235367, + "deflection": 0.011784525052747153, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.178)" + }, + "parent_node_id": "node_2116", + "improvement_over_parent": null + }, + "node_2118": { + "node_id": "node_2118", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 157.38 kg\n Factor of Safety: 1.12\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": 157.38277181308413, + "fos_buckling": 1.122490618109567, + "fos_yielding": 3.190717014686789, + "deflection": 0.010000119859830318, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_2117", + "improvement_over_parent": null + }, + "node_2119": { + "node_id": "node_2119", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n Mass: 174.87 kg\n Factor of Safety: 1.23\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": 174.86939704394223, + "fos_buckling": 1.2284348783313783, + "fos_yielding": 3.5431343182755493, + "deflection": 0.009017921981627389, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_2118", + "improvement_over_parent": null + }, + "node_2120": { + "node_id": "node_2120", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.76 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.7616273958415, + "fos_buckling": 1.526611293706138, + "fos_yielding": 4.6065637063171785, + "deflection": 0.0069650518373207335, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_2119", + "improvement_over_parent": null + }, + "node_2121": { + "node_id": "node_2121", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2120", + "improvement_over_parent": null + }, + "node_2122": { + "node_id": "node_2122", + "content": "INITIAL DESIGN (Trace 306)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n Mass: 100.90 kg\n Factor of Safety: 0.54\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 100.90353985820005, + "fos_buckling": 0.544186284513848, + "fos_yielding": 2.523291687113757, + "deflection": 0.01756325397725206, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2123": { + "node_id": "node_2123", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n Mass: 113.42 kg\n Factor of Safety: 0.60\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.42043826061024, + "fos_buckling": 0.6045838699257932, + "fos_yielding": 2.8358465665965444, + "deflection": 0.015648891274397312, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_2122", + "improvement_over_parent": null + }, + "node_2124": { + "node_id": "node_2124", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n Mass: 141.31 kg\n Factor of Safety: 0.73\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": 141.30507289702342, + "fos_buckling": 0.7335963448176778, + "fos_yielding": 3.5317832897104124, + "deflection": 0.012603513986287099, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_2123", + "improvement_over_parent": null + }, + "node_2125": { + "node_id": "node_2125", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n\nPerformance:\n Mass: 156.17 kg\n Factor of Safety: 1.12\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": 156.16571130559313, + "fos_buckling": 1.1150338036510374, + "fos_yielding": 3.1663436280335313, + "deflection": 0.010076768379852894, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004540)" + }, + "parent_node_id": "node_2124", + "improvement_over_parent": null + }, + "node_2126": { + "node_id": "node_2126", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n\nPerformance:\n Mass: 203.11 kg\n Factor of Safety: 1.39\n Max Deflection: 7.79e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.11008440998012, + "fos_buckling": 1.3918477032852612, + "fos_yielding": 4.111619632736271, + "deflection": 0.0077888790554011865, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_2125", + "improvement_over_parent": null + }, + "node_2127": { + "node_id": "node_2127", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.69 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6930795787359, + "fos_buckling": 1.5263128556538004, + "fos_yielding": 4.605427062108792, + "deflection": 0.006967162341511575, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_2126", + "improvement_over_parent": null + }, + "node_2128": { + "node_id": "node_2128", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2127", + "improvement_over_parent": null + }, + "node_2129": { + "node_id": "node_2129", + "content": "INITIAL DESIGN (Trace 307)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 196.24 kg\n Factor of Safety: 1.00\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": 196.24477579508115, + "fos_buckling": 1.0035002582379493, + "fos_yielding": 5.145326395534688, + "deflection": 0.010593836696031563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2130": { + "node_id": "node_2130", + "content": "MODIFICATION: Increase 2 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 200.14 kg\n Factor of Safety: 1.00\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": 200.14063230070875, + "fos_buckling": 1.0029770636487199, + "fos_yielding": 5.145326395534688, + "deflection": 0.010599303355370687, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.235)" + }, + "parent_node_id": "node_2129", + "improvement_over_parent": null + }, + "node_2131": { + "node_id": "node_2131", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 225.26 kg\n Factor of Safety: 1.00\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": 225.2599272782097, + "fos_buckling": 0.9997085810498115, + "fos_yielding": 5.1229738692407825, + "deflection": 0.010599504692603111, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_2130", + "improvement_over_parent": null + }, + "node_2132": { + "node_id": "node_2132", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.64460958979583, + "fos_buckling": 1.5259838916681574, + "fos_yielding": 4.604193528894666, + "deflection": 0.006968739242363175, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_2131", + "improvement_over_parent": null + }, + "node_2133": { + "node_id": "node_2133", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2132", + "improvement_over_parent": null + }, + "node_2134": { + "node_id": "node_2134", + "content": "INITIAL DESIGN (Trace 308)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 170.28 kg\n Factor of Safety: 1.05\n Max Deflection: 9.29e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.28080020173297, + "fos_buckling": 1.048650339344983, + "fos_yielding": 3.133699313392256, + "deflection": 0.009287529334828182, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2135": { + "node_id": "node_2135", + "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 171.13 kg\n Factor of Safety: 1.11\n Max Deflection: 9.17e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.1321389725758, + "fos_buckling": 1.1106881754854705, + "fos_yielding": 3.616507124525304, + "deflection": 0.00917245151442813, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.359)" + }, + "parent_node_id": "node_2134", + "improvement_over_parent": null + }, + "node_2136": { + "node_id": "node_2136", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 220.82 kg\n Factor of Safety: 1.39\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": 220.8246863666664, + "fos_buckling": 1.3909330594295348, + "fos_yielding": 4.656037082104598, + "deflection": 0.007148168244806003, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_2135", + "improvement_over_parent": null + }, + "node_2137": { + "node_id": "node_2137", + "content": "MODIFICATION: Increase 3 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.57 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.57478917262614, + "fos_buckling": 1.5256220438411685, + "fos_yielding": 4.603308569864178, + "deflection": 0.0069705014067146355, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.497)" + }, + "parent_node_id": "node_2136", + "improvement_over_parent": null + }, + "node_2138": { + "node_id": "node_2138", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2137", + "improvement_over_parent": null + }, + "node_2139": { + "node_id": "node_2139", + "content": "INITIAL DESIGN (Trace 309)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n Mass: 124.08 kg\n Factor of Safety: 0.65\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": 124.08304714983822, + "fos_buckling": 0.6508422067014253, + "fos_yielding": 2.8259421632137625, + "deflection": 0.014220230626376281, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2140": { + "node_id": "node_2140", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 156.52 kg\n Factor of Safety: 0.80\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": 156.51740864410274, + "fos_buckling": 0.795452398997997, + "fos_yielding": 3.560420648213431, + "deflection": 0.011317947504902722, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_2139", + "improvement_over_parent": null + }, + "node_2141": { + "node_id": "node_2141", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 176.03 kg\n Factor of Safety: 0.88\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": 176.02997912232146, + "fos_buckling": 0.8774693218480644, + "fos_yielding": 4.001450746953121, + "deflection": 0.010087183686046738, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_2140", + "improvement_over_parent": null + }, + "node_2142": { + "node_id": "node_2142", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n\nPerformance:\n Mass: 198.36 kg\n Factor of Safety: 1.36\n Max Deflection: 7.97e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.3586751175443, + "fos_buckling": 1.3649806664552333, + "fos_yielding": 4.015942490961876, + "deflection": 0.00797128674416044, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006194)" + }, + "parent_node_id": "node_2141", + "improvement_over_parent": null + }, + "node_2143": { + "node_id": "node_2143", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.43 kg\n Factor of Safety: 1.52\n Max Deflection: 6.98e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.43032088720526, + "fos_buckling": 1.524859992939043, + "fos_yielding": 4.599996146170464, + "deflection": 0.006975091084951823, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_2142", + "improvement_over_parent": null + }, + "node_2144": { + "node_id": "node_2144", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2143", + "improvement_over_parent": null + }, + "node_2145": { + "node_id": "node_2145", + "content": "INITIAL DESIGN (Trace 310)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\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_2146": { + "node_id": "node_2146", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n\nPerformance:\n Mass: 177.31 kg\n Factor of Safety: 0.73\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": 177.31153454007574, + "fos_buckling": 0.7325261922865006, + "fos_yielding": 4.094414195088801, + "deflection": 0.010679668441534639, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006349)" + }, + "parent_node_id": "node_2145", + "improvement_over_parent": null + }, + "node_2147": { + "node_id": "node_2147", + "content": "MODIFICATION: Increase 6 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n\nPerformance:\n Mass: 183.31 kg\n Factor of Safety: 0.89\n Max Deflection: 9.86e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.30890981720398, + "fos_buckling": 0.8943138429965871, + "fos_yielding": 4.094021573098994, + "deflection": 0.009862441372668266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.284)" + }, + "parent_node_id": "node_2146", + "improvement_over_parent": null + }, + "node_2148": { + "node_id": "node_2148", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 205.66 kg\n Factor of Safety: 0.98\n Max Deflection: 8.81e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.66147403475412, + "fos_buckling": 0.9812727519079764, + "fos_yielding": 4.589522272020161, + "deflection": 0.008814163316818608, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_2147", + "improvement_over_parent": null + }, + "node_2149": { + "node_id": "node_2149", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.75 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.75262216341443, + "fos_buckling": 1.526606041010611, + "fos_yielding": 4.606520917164658, + "deflection": 0.006965241668068712, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_2148", + "improvement_over_parent": null + }, + "node_2150": { + "node_id": "node_2150", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2149", + "improvement_over_parent": null + }, + "node_2151": { + "node_id": "node_2151", + "content": "INITIAL DESIGN (Trace 311)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 198.48 kg\n Factor of Safety: 0.92\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": 198.48218580243275, + "fos_buckling": 0.9188759193928349, + "fos_yielding": 4.622208482196146, + "deflection": 0.011739993622398973, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2152": { + "node_id": "node_2152", + "content": "MODIFICATION: Increase 3 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 202.96 kg\n Factor of Safety: 0.92\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.95891132971676, + "fos_buckling": 0.918155555049028, + "fos_yielding": 4.620124813074301, + "deflection": 0.011746978087281491, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.323)" + }, + "parent_node_id": "node_2151", + "improvement_over_parent": null + }, + "node_2153": { + "node_id": "node_2153", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 225.31 kg\n Factor of Safety: 1.00\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": 225.30539610751129, + "fos_buckling": 0.9998975495051382, + "fos_yielding": 5.124166603161577, + "deflection": 0.010597032611973494, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_2152", + "improvement_over_parent": null + }, + "node_2154": { + "node_id": "node_2154", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.69 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.69007841909743, + "fos_buckling": 1.526305927140315, + "fos_yielding": 4.605249651066202, + "deflection": 0.0069673563406927345, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_2153", + "improvement_over_parent": null + }, + "node_2155": { + "node_id": "node_2155", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2154", + "improvement_over_parent": null + }, + "node_2156": { + "node_id": "node_2156", + "content": "INITIAL DESIGN (Trace 312)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0023)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n Mass: 85.53 kg\n Factor of Safety: 0.55\n Max Deflection: 2.39e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 85.53386986496271, + "fos_buckling": 0.545997751446283, + "fos_yielding": 2.592621405999052, + "deflection": 0.02393685281791638, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2157": { + "node_id": "node_2157", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0023)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n\nPerformance:\n Mass: 98.18 kg\n Factor of Safety: 0.55\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 98.17713029482663, + "fos_buckling": 0.5450821925627926, + "fos_yielding": 2.27293374759749, + "deflection": 0.018298922519653604, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.003425)" + }, + "parent_node_id": "node_2156", + "improvement_over_parent": null + }, + "node_2158": { + "node_id": "node_2158", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0023)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n\nPerformance:\n Mass: 109.29 kg\n Factor of Safety: 0.80\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 109.29415314088838, + "fos_buckling": 0.7993035685444044, + "fos_yielding": 2.2804148997124, + "deflection": 0.014712029282261086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003309)" + }, + "parent_node_id": "node_2157", + "improvement_over_parent": null + }, + "node_2159": { + "node_id": "node_2159", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0027)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n\nPerformance:\n Mass: 127.41 kg\n Factor of Safety: 0.92\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": 127.40962471215103, + "fos_buckling": 0.9172866168639012, + "fos_yielding": 2.6563901438887694, + "deflection": 0.012643011188460791, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_2158", + "improvement_over_parent": null + }, + "node_2160": { + "node_id": "node_2160", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n\nPerformance:\n Mass: 154.40 kg\n Factor of Safety: 1.09\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.3998991738416, + "fos_buckling": 1.085606609040012, + "fos_yielding": 3.215488397320151, + "deflection": 0.010460788462398177, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_2159", + "improvement_over_parent": null + }, + "node_2161": { + "node_id": "node_2161", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n\nPerformance:\n Mass: 182.52 kg\n Factor of Safety: 1.25\n Max Deflection: 8.87e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.5221221803532, + "fos_buckling": 1.2515963417432479, + "fos_yielding": 3.79666579047736, + "deflection": 0.008873444464569228, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_2160", + "improvement_over_parent": null + }, + "node_2162": { + "node_id": "node_2162", + "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n\nPerformance:\n Mass: 191.16 kg\n Factor of Safety: 1.32\n Max Deflection: 8.26e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.16122788699712, + "fos_buckling": 1.3235124605148516, + "fos_yielding": 3.8709433902260324, + "deflection": 0.00826445680655276, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.616)" + }, + "parent_node_id": "node_2161", + "improvement_over_parent": null + }, + "node_2163": { + "node_id": "node_2163", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.54 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5397654245285, + "fos_buckling": 1.525070195947039, + "fos_yielding": 4.601931920257152, + "deflection": 0.006971607889068387, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_2162", + "improvement_over_parent": null + }, + "node_2164": { + "node_id": "node_2164", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2163", + "improvement_over_parent": null + }, + "node_2165": { + "node_id": "node_2165", + "content": "INITIAL DESIGN (Trace 313)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 153.61 kg\n Factor of Safety: 0.42\n Max Deflection: 4.37e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.60995388332788, + "fos_buckling": 0.42203816012965284, + "fos_yielding": 3.403257763111908, + "deflection": 0.04373472149178859, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2166": { + "node_id": "node_2166", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n Mass: 155.51 kg\n Factor of Safety: 0.51\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.5096793406085, + "fos_buckling": 0.5112802087050754, + "fos_yielding": 3.402717785891409, + "deflection": 0.014875477273600606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002958)" + }, + "parent_node_id": "node_2165", + "improvement_over_parent": null + }, + "node_2167": { + "node_id": "node_2167", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 195.17 kg\n Factor of Safety: 0.62\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.17264553313086, + "fos_buckling": 0.6159067598120809, + "fos_yielding": 4.260019327245211, + "deflection": 0.011905135715982252, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_2166", + "improvement_over_parent": null + }, + "node_2168": { + "node_id": "node_2168", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.57 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.56626517324915, + "fos_buckling": 1.5255880349039832, + "fos_yielding": 4.602685076572852, + "deflection": 0.006970890772941209, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 314)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 137.67 kg\n Factor of Safety: 0.83\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": 137.66940369296142, + "fos_buckling": 0.8320160681814075, + "fos_yielding": 2.986373849265662, + "deflection": 0.01159319686621064, + "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 all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 168.32 kg\n Factor of Safety: 1.00\n Max Deflection: 9.51e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.32201145922173, + "fos_buckling": 0.9996009168298668, + "fos_yielding": 3.6448334789677834, + "deflection": 0.009511020057246963, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_2170", + "improvement_over_parent": null + }, + "node_2172": { + "node_id": "node_2172", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 188.13 kg\n Factor of Safety: 1.10\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": 188.12597010128823, + "fos_buckling": 1.10450574282976, + "fos_yielding": 4.068926041779551, + "deflection": 0.008526487765439534, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_2171", + "improvement_over_parent": null + }, + "node_2173": { + "node_id": "node_2173", + "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 193.92 kg\n Factor of Safety: 1.37\n Max Deflection: 8.28e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.9234432722807, + "fos_buckling": 1.366340921259634, + "fos_yielding": 4.070227210659854, + "deflection": 0.008276468456280548, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.458)" + }, + "parent_node_id": "node_2172", + "improvement_over_parent": null + }, + "node_2174": { + "node_id": "node_2174", + "content": "MODIFICATION: Increase 0 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 200.95 kg\n Factor of Safety: 1.38\n Max Deflection: 7.87e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.94713142019702, + "fos_buckling": 1.3795088750445712, + "fos_yielding": 4.067559356424692, + "deflection": 0.007870755169124196, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.431)" + }, + "parent_node_id": "node_2173", + "improvement_over_parent": null + }, + "node_2175": { + "node_id": "node_2175", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.83 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.82916093922998, + "fos_buckling": 1.526863121783373, + "fos_yielding": 4.6075183742127415, + "deflection": 0.006963066656176062, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_2174", + "improvement_over_parent": null + }, + "node_2176": { + "node_id": "node_2176", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2175", + "improvement_over_parent": null + }, + "node_2177": { + "node_id": "node_2177", + "content": "INITIAL DESIGN (Trace 315)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n Mass: 175.37 kg\n Factor of Safety: 0.91\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": 175.37217182212322, + "fos_buckling": 0.9055258189688297, + "fos_yielding": 4.0703436598663165, + "deflection": 0.010289316507926038, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2178": { + "node_id": "node_2178", + "content": "MODIFICATION: Increase 9 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 185.90 kg\n Factor of Safety: 0.90\n Max Deflection: 9.73e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.89592411502719, + "fos_buckling": 0.9042760070672493, + "fos_yielding": 4.151617700906495, + "deflection": 0.009729089962521816, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.597)" + }, + "parent_node_id": "node_2177", + "improvement_over_parent": null + }, + "node_2179": { + "node_id": "node_2179", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.52 kg\n Factor of Safety: 0.98\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": 205.51810492615684, + "fos_buckling": 0.9803718627939425, + "fos_yielding": 4.58657335605684, + "deflection": 0.00882094288499116, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_2178", + "improvement_over_parent": null + }, + "node_2180": { + "node_id": "node_2180", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.60925305481715, + "fos_buckling": 1.5259979251940559, + "fos_yielding": 4.603568602030385, + "deflection": 0.0069696770452273, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 316)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n Mass: 140.32 kg\n Factor of Safety: 0.34\n Max Deflection: 5.27e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.31787873170495, + "fos_buckling": 0.3438538372890811, + "fos_yielding": 2.6107810230414334, + "deflection": 0.052669697956884504, + "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 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 177.65 kg\n Factor of Safety: 0.42\n Max Deflection: 4.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.65028953084183, + "fos_buckling": 0.42330506239521654, + "fos_yielding": 3.30964844690161, + "deflection": 0.041591041934457534, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_2182", + "improvement_over_parent": null + }, + "node_2184": { + "node_id": "node_2184", + "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 178.63 kg\n Factor of Safety: 0.42\n Max Deflection: 4.13e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.63311426627575, + "fos_buckling": 0.42330506239521665, + "fos_yielding": 4.078243034267015, + "deflection": 0.04134887701617662, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.318)" + }, + "parent_node_id": "node_2183", + "improvement_over_parent": null + }, + "node_2185": { + "node_id": "node_2185", + "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 185.18 kg\n Factor of Safety: 0.51\n Max Deflection: 3.86e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.1804763447693, + "fos_buckling": 0.5101109154433953, + "fos_yielding": 4.07469310111776, + "deflection": 0.03864725849249983, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.274)" + }, + "parent_node_id": "node_2184", + "improvement_over_parent": null + }, + "node_2186": { + "node_id": "node_2186", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 187.57 kg\n Factor of Safety: 0.62\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.56515865635544, + "fos_buckling": 0.6167221151301518, + "fos_yielding": 4.266044366138425, + "deflection": 0.012267785423965727, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_2185", + "improvement_over_parent": null + }, + "node_2187": { + "node_id": "node_2187", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 219.96 kg\n Factor of Safety: 1.52\n Max Deflection: 7.32e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 219.95877829647372, + "fos_buckling": 1.5191151598045856, + "fos_yielding": 4.544225423711358, + "deflection": 0.007315189064470211, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_2186", + "improvement_over_parent": null + }, + "node_2188": { + "node_id": "node_2188", + "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.65 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6458303547817, + "fos_buckling": 1.52618117801793, + "fos_yielding": 4.604505788894489, + "deflection": 0.0069685055271936905, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.410)" + }, + "parent_node_id": "node_2187", + "improvement_over_parent": null + }, + "node_2189": { + "node_id": "node_2189", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2188", + "improvement_over_parent": null + }, + "node_2190": { + "node_id": "node_2190", + "content": "INITIAL DESIGN (Trace 317)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0023)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.00 kg\n Factor of Safety: 1.28\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": 205.00068492559146, + "fos_buckling": 1.2839502185715914, + "fos_yielding": 4.639225305519408, + "deflection": 0.007737102529467728, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2191": { + "node_id": "node_2191", + "content": "MODIFICATION: Increase 8 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 207.75 kg\n Factor of Safety: 1.34\n Max Deflection: 7.56e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.75281653704067, + "fos_buckling": 1.3430384290743254, + "fos_yielding": 4.640646536588708, + "deflection": 0.007563204235148208, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.325)" + }, + "parent_node_id": "node_2190", + "improvement_over_parent": null + }, + "node_2192": { + "node_id": "node_2192", + "content": "MODIFICATION: Increase 8 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 214.49 kg\n Factor of Safety: 1.45\n Max Deflection: 7.28e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.490721728779, + "fos_buckling": 1.4508933053364543, + "fos_yielding": 4.642770765181398, + "deflection": 0.007283246295269547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.621)" + }, + "parent_node_id": "node_2191", + "improvement_over_parent": null + }, + "node_2193": { + "node_id": "node_2193", + "content": "MODIFICATION: Increase 8 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 221.84 kg\n Factor of Safety: 1.47\n Max Deflection: 7.10e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.83899992967943, + "fos_buckling": 1.4672392966960408, + "fos_yielding": 4.643936760759177, + "deflection": 0.007101549675283315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.441)" + }, + "parent_node_id": "node_2192", + "improvement_over_parent": null + }, + "node_2194": { + "node_id": "node_2194", + "content": "MODIFICATION: Increase 9 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.65 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.64559567654828, + "fos_buckling": 1.5259876384692168, + "fos_yielding": 4.604191052405462, + "deflection": 0.006968724876864074, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.330)" + }, + "parent_node_id": "node_2193", + "improvement_over_parent": null + }, + "node_2195": { + "node_id": "node_2195", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2194", + "improvement_over_parent": null + }, + "node_2196": { + "node_id": "node_2196", + "content": "INITIAL DESIGN (Trace 318)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n\nPerformance:\n Mass: 124.69 kg\n Factor of Safety: 1.26\n Max Deflection: 8.92e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.69132890587798, + "fos_buckling": 1.2573559591485466, + "fos_yielding": 3.803495819969526, + "deflection": 8919962708198.252, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2197": { + "node_id": "node_2197", + "content": "MODIFICATION: Increase 7 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n\nPerformance:\n Mass: 134.85 kg\n Factor of Safety: 0.76\n Max Deflection: 1.27e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.85063986967245, + "fos_buckling": 0.7554970594585324, + "fos_yielding": 4.4826110308383065, + "deflection": 126527609875994.02, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.608)" + }, + "parent_node_id": "node_2196", + "improvement_over_parent": null + }, + "node_2198": { + "node_id": "node_2198", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 163.40 kg\n Factor of Safety: 0.90\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": 163.39663976532515, + "fos_buckling": 0.8993092012081508, + "fos_yielding": 3.4761038652371905, + "deflection": 0.010690254734656396, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007000)" + }, + "parent_node_id": "node_2197", + "improvement_over_parent": null + }, + "node_2199": { + "node_id": "node_2199", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 187.80 kg\n Factor of Safety: 1.01\n Max Deflection: 9.33e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.79530902440027, + "fos_buckling": 1.006094164720606, + "fos_yielding": 4.0015258334404935, + "deflection": 0.009327695511591913, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_2198", + "improvement_over_parent": null + }, + "node_2200": { + "node_id": "node_2200", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 212.91 kg\n Factor of Safety: 1.31\n Max Deflection: 7.59e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.9146040019012, + "fos_buckling": 1.305396646064513, + "fos_yielding": 4.016711210294755, + "deflection": 0.007594556113257421, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_2199", + "improvement_over_parent": null + }, + "node_2201": { + "node_id": "node_2201", + "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 214.00 kg\n Factor of Safety: 1.53\n Max Deflection: 7.50e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 213.9973165388134, + "fos_buckling": 1.526351943147321, + "fos_yielding": 4.607236723593153, + "deflection": 0.007502671161990238, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.361)" + }, + "parent_node_id": "node_2200", + "improvement_over_parent": null + }, + "node_2202": { + "node_id": "node_2202", + "content": "MODIFICATION: Increase 0 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 222.23 kg\n Factor of Safety: 1.47\n Max Deflection: 7.09e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.23027721398878, + "fos_buckling": 1.4715736354123181, + "fos_yielding": 4.604071590230757, + "deflection": 0.007092768643448108, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.458)" + }, + "parent_node_id": "node_2201", + "improvement_over_parent": null + }, + "node_2203": { + "node_id": "node_2203", + "content": "MODIFICATION: Increase 8 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.68 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6831220194578, + "fos_buckling": 1.5261224803432227, + "fos_yielding": 4.604905943532622, + "deflection": 0.0069671172261076934, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.297)" + }, + "parent_node_id": "node_2202", + "improvement_over_parent": null + }, + "node_2204": { + "node_id": "node_2204", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2203", + "improvement_over_parent": null + }, + "node_2205": { + "node_id": "node_2205", + "content": "INITIAL DESIGN (Trace 319)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 167.41 kg\n Factor of Safety: 0.84\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": 167.40967704164225, + "fos_buckling": 0.844282834600557, + "fos_yielding": 3.826009504034046, + "deflection": 0.010591334423970724, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2206": { + "node_id": "node_2206", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n\nPerformance:\n Mass: 181.73 kg\n Factor of Safety: 1.22\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.7297234323148, + "fos_buckling": 1.2190166262163906, + "fos_yielding": 3.843491892638072, + "deflection": 0.00871666657461102, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.003860)" + }, + "parent_node_id": "node_2205", + "improvement_over_parent": null + }, + "node_2207": { + "node_id": "node_2207", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n\nPerformance:\n Mass: 218.58 kg\n Factor of Safety: 1.42\n Max Deflection: 7.28e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.57838526605047, + "fos_buckling": 1.4180322492533577, + "fos_yielding": 4.6143838752763875, + "deflection": 0.0072757016022091635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_2206", + "improvement_over_parent": null + }, + "node_2208": { + "node_id": "node_2208", + "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n\nPerformance:\n Mass: 219.28 kg\n Factor of Safety: 1.43\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.27536684699413, + "fos_buckling": 1.4348765989535686, + "fos_yielding": 4.601410863802696, + "deflection": 0.0071827378691478845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.453)" + }, + "parent_node_id": "node_2207", + "improvement_over_parent": null + }, + "node_2209": { + "node_id": "node_2209", + "content": "MODIFICATION: Increase 8 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0109)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n\nPerformance:\n Mass: 230.61 kg\n Factor of Safety: 1.43\n Max Deflection: 7.02e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.61099707622148, + "fos_buckling": 1.4307671252955207, + "fos_yielding": 4.551486142981666, + "deflection": 0.00702139689943365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.524)" + }, + "parent_node_id": "node_2208", + "improvement_over_parent": null + }, + "node_2210": { + "node_id": "node_2210", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2209", + "improvement_over_parent": null + }, + "node_2211": { + "node_id": "node_2211", + "content": "INITIAL DESIGN (Trace 320)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 149.75 kg\n Factor of Safety: 0.38\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.74875140404473, + "fos_buckling": 0.38200908398090166, + "fos_yielding": 3.385002678953005, + "deflection": 0.01651733965598904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2212": { + "node_id": "node_2212", + "content": "MODIFICATION: Increase 2 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 154.58 kg\n Factor of Safety: 0.51\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.58152244683626, + "fos_buckling": 0.5083636526619483, + "fos_yielding": 3.382953113068185, + "deflection": 0.014965462783526671, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.410)" + }, + "parent_node_id": "node_2211", + "improvement_over_parent": null + }, + "node_2213": { + "node_id": "node_2213", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n\nPerformance:\n Mass: 180.23 kg\n Factor of Safety: 1.26\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": 180.233161425832, + "fos_buckling": 1.2603486332360299, + "fos_yielding": 3.651658928131349, + "deflection": 0.00875468828245763, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006280)" + }, + "parent_node_id": "node_2212", + "improvement_over_parent": null + }, + "node_2214": { + "node_id": "node_2214", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.68 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.67876952343312, + "fos_buckling": 1.5263437093476486, + "fos_yielding": 4.6055277279837, + "deflection": 0.006967401613639975, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_2213", + "improvement_over_parent": null + }, + "node_2215": { + "node_id": "node_2215", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2214", + "improvement_over_parent": null + }, + "node_2216": { + "node_id": "node_2216", + "content": "INITIAL DESIGN (Trace 321)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 126.91 kg\n Factor of Safety: 0.70\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.9129248946493, + "fos_buckling": 0.6998429069401291, + "fos_yielding": 3.342297420398105, + "deflection": 0.01406766770996203, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2217": { + "node_id": "node_2217", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 157.46 kg\n Factor of Safety: 0.84\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": 157.4634028299587, + "fos_buckling": 0.8416443472775966, + "fos_yielding": 4.143007581057656, + "deflection": 0.011377607887217778, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_2216", + "improvement_over_parent": null + }, + "node_2218": { + "node_id": "node_2218", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n\nPerformance:\n Mass: 174.89 kg\n Factor of Safety: 1.21\n Max Deflection: 9.25e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.89120069095202, + "fos_buckling": 1.205792159228605, + "fos_yielding": 3.715509701084191, + "deflection": 0.009252180533989652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005383)" + }, + "parent_node_id": "node_2217", + "improvement_over_parent": null + }, + "node_2219": { + "node_id": "node_2219", + "content": "MODIFICATION: Increase 0 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n\nPerformance:\n Mass: 183.24 kg\n Factor of Safety: 1.28\n Max Deflection: 8.61e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.2384966390517, + "fos_buckling": 1.2778664676939564, + "fos_yielding": 3.7121396306245424, + "deflection": 0.008614112923748501, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.634)" + }, + "parent_node_id": "node_2218", + "improvement_over_parent": null + }, + "node_2220": { + "node_id": "node_2220", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.80 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.79536470165763, + "fos_buckling": 1.5268164561728066, + "fos_yielding": 4.60783175810273, + "deflection": 0.006964000021112977, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_2219", + "improvement_over_parent": null + }, + "node_2221": { + "node_id": "node_2221", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2220", + "improvement_over_parent": null + }, + "node_2222": { + "node_id": "node_2222", + "content": "INITIAL DESIGN (Trace 322)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 145.51 kg\n Factor of Safety: 0.75\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": 145.50882265673698, + "fos_buckling": 0.7507906819785173, + "fos_yielding": 3.3507672020392443, + "deflection": 0.012260967569070632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2223": { + "node_id": "node_2223", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 172.21 kg\n Factor of Safety: 0.87\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.2076287531042, + "fos_buckling": 0.8651579046308305, + "fos_yielding": 3.9606329584438527, + "deflection": 0.010394288397873874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_2222", + "improvement_over_parent": null + }, + "node_2224": { + "node_id": "node_2224", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n\nPerformance:\n Mass: 191.12 kg\n Factor of Safety: 1.30\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": 191.12365505614684, + "fos_buckling": 1.3037347695137467, + "fos_yielding": 3.9746424688866866, + "deflection": 0.008231411028345728, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005814)" + }, + "parent_node_id": "node_2223", + "improvement_over_parent": null + }, + "node_2225": { + "node_id": "node_2225", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 223.37 kg\n Factor of Safety: 1.48\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": 223.36633309090865, + "fos_buckling": 1.4799848923443792, + "fos_yielding": 4.638746602188994, + "deflection": 0.007069051502296962, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_2224", + "improvement_over_parent": null + }, + "node_2226": { + "node_id": "node_2226", + "content": "MODIFICATION: Increase 3 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0066)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 224.46 kg\n Factor of Safety: 1.48\n Max Deflection: 7.02e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.45624663498643, + "fos_buckling": 1.4791916017812725, + "fos_yielding": 4.639255008389064, + "deflection": 0.0070153795117873265, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.282)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 323)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0031)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0027)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0021)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0020)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0022)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0032)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0029)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0032)]\n\nPerformance:\n Mass: 93.61 kg\n Factor of Safety: 0.69\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": 93.60817588494882, + "fos_buckling": 0.6851893881231784, + "fos_yielding": 1.9584708149447105, + "deflection": 0.01661866232175562, + "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: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0025)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n Mass: 110.32 kg\n Factor of Safety: 0.80\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.32268751076657, + "fos_buckling": 0.7985882569052762, + "fos_yielding": 2.306572087187512, + "deflection": 0.014127896785853272, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_2228", + "improvement_over_parent": null + }, + "node_2230": { + "node_id": "node_2230", + "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n Mass: 112.76 kg\n Factor of Safety: 0.84\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.76493028463084, + "fos_buckling": 0.8354304618748267, + "fos_yielding": 2.2896330356496835, + "deflection": 0.013886769590523759, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.307)" + }, + "parent_node_id": "node_2229", + "improvement_over_parent": null + }, + "node_2231": { + "node_id": "node_2231", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n Mass: 132.61 kg\n Factor of Safety: 0.97\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": 132.61265680806457, + "fos_buckling": 0.9661539449679306, + "fos_yielding": 2.6908175626026325, + "deflection": 0.011835013366299902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_2230", + "improvement_over_parent": null + }, + "node_2232": { + "node_id": "node_2232", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n Mass: 154.61 kg\n Factor of Safety: 1.11\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.608442776048, + "fos_buckling": 1.1054172772286897, + "fos_yielding": 3.1347904172799215, + "deflection": 0.010176590265461385, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_2231", + "improvement_over_parent": null + }, + "node_2233": { + "node_id": "node_2233", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 195.24 kg\n Factor of Safety: 1.35\n Max Deflection: 8.10e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.24239560748447, + "fos_buckling": 1.3473221925861663, + "fos_yielding": 3.953225593326597, + "deflection": 0.008095668295287024, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_2232", + "improvement_over_parent": null + }, + "node_2234": { + "node_id": "node_2234", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.42 kg\n Factor of Safety: 1.52\n Max Deflection: 6.98e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.41632619978347, + "fos_buckling": 1.5248697862686318, + "fos_yielding": 4.5996665871395646, + "deflection": 0.0069755021428815536, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 324)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n\nPerformance:\n Mass: 109.35 kg\n Factor of Safety: 0.09\n Max Deflection: 2.17e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 109.35256492244059, + "fos_buckling": 0.09305017834740935, + "fos_yielding": 0.228429708776369, + "deflection": 216589320450073.56, + "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 all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n\nPerformance:\n Mass: 138.27 kg\n Factor of Safety: 1.41\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": 138.27173139767888, + "fos_buckling": 1.4076337174317248, + "fos_yielding": 5.146683609538151, + "deflection": 20854008198305.75, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_2236", + "improvement_over_parent": null + }, + "node_2238": { + "node_id": "node_2238", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 163.39 kg\n Factor of Safety: 0.59\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": 163.39102637517982, + "fos_buckling": 0.5949731749692649, + "fos_yielding": 3.856428691006362, + "deflection": 0.013678931981519789, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_2237", + "improvement_over_parent": null + }, + "node_2239": { + "node_id": "node_2239", + "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 168.15 kg\n Factor of Safety: 0.59\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.1513824496413, + "fos_buckling": 0.5946008172919094, + "fos_yielding": 3.855827323926791, + "deflection": 0.013686462069899904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.316)" + }, + "parent_node_id": "node_2238", + "improvement_over_parent": null + }, + "node_2240": { + "node_id": "node_2240", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 200.93 kg\n Factor of Safety: 0.98\n Max Deflection: 8.81e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.9289771925268, + "fos_buckling": 0.9812921653636485, + "fos_yielding": 4.588794619369393, + "deflection": 0.008813029709969923, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_2239", + "improvement_over_parent": null + }, + "node_2241": { + "node_id": "node_2241", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 223.02 kg\n Factor of Safety: 1.48\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.0201253211871, + "fos_buckling": 1.4808893021193184, + "fos_yielding": 4.6047053227436185, + "deflection": 0.0070719747688321915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_2240", + "improvement_over_parent": null + }, + "node_2242": { + "node_id": "node_2242", + "content": "MODIFICATION: Increase 8 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0089)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 228.46 kg\n Factor of Safety: 1.48\n Max Deflection: 6.98e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.45605153021046, + "fos_buckling": 1.4785737727788228, + "fos_yielding": 4.577513788580242, + "deflection": 0.006983044989432684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.244)" + }, + "parent_node_id": "node_2241", + "improvement_over_parent": null + }, + "node_2243": { + "node_id": "node_2243", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2242", + "improvement_over_parent": null + }, + "node_2244": { + "node_id": "node_2244", + "content": "INITIAL DESIGN (Trace 325)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0018)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0026)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0037)]\n\nPerformance:\n Mass: 103.64 kg\n Factor of Safety: 0.66\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 103.64171729964886, + "fos_buckling": 0.6614914588191116, + "fos_yielding": 1.655353697598695, + "deflection": 0.015216441084778789, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2245": { + "node_id": "node_2245", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n Mass: 131.65 kg\n Factor of Safety: 0.83\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": 131.6489798366037, + "fos_buckling": 0.8284405480431303, + "fos_yielding": 2.106041770745787, + "deflection": 0.012015857386708712, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_2244", + "improvement_over_parent": null + }, + "node_2246": { + "node_id": "node_2246", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 167.66 kg\n Factor of Safety: 1.04\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": 167.6565327447601, + "fos_buckling": 1.035641485523112, + "fos_yielding": 2.6880063956106564, + "deflection": 0.009472071292213837, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_2245", + "improvement_over_parent": null + }, + "node_2247": { + "node_id": "node_2247", + "content": "MODIFICATION: Increase 9 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 171.16 kg\n Factor of Safety: 1.03\n Max Deflection: 9.35e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.1612152530575, + "fos_buckling": 1.0295098178787567, + "fos_yielding": 2.6720916586344132, + "deflection": 0.009353005052042817, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.236)" + }, + "parent_node_id": "node_2246", + "improvement_over_parent": null + }, + "node_2248": { + "node_id": "node_2248", + "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 174.89 kg\n Factor of Safety: 1.03\n Max Deflection: 9.10e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.8944757645392, + "fos_buckling": 1.0291447990801807, + "fos_yielding": 2.6711442527233853, + "deflection": 0.009101465826337909, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.224)" + }, + "parent_node_id": "node_2247", + "improvement_over_parent": null + }, + "node_2249": { + "node_id": "node_2249", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n\nPerformance:\n Mass: 226.70 kg\n Factor of Safety: 1.30\n Max Deflection: 7.06e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.69562944908793, + "fos_buckling": 1.3003761752521596, + "fos_yielding": 3.477103113657067, + "deflection": 0.0070607569104098765, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_2248", + "improvement_over_parent": null + }, + "node_2250": { + "node_id": "node_2250", + "content": "MODIFICATION: Increase 6 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n\nPerformance:\n Mass: 227.95 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.95465378276484, + "fos_buckling": 1.52763960537922, + "fos_yielding": 4.6087578809979295, + "deflection": 0.006959442426515617, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.366)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 326)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n Mass: 125.74 kg\n Factor of Safety: 0.72\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.74186734528674, + "fos_buckling": 0.715974670993429, + "fos_yielding": 3.520364183270504, + "deflection": 0.015553659293827429, + "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 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 154.88 kg\n Factor of Safety: 0.85\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": 154.87742548123285, + "fos_buckling": 0.854868098323462, + "fos_yielding": 4.33425376413972, + "deflection": 0.01267965130037274, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_2252", + "improvement_over_parent": null + }, + "node_2254": { + "node_id": "node_2254", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 183.79 kg\n Factor of Safety: 0.98\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": 183.7866229713341, + "fos_buckling": 0.9828732337262541, + "fos_yielding": 5.141148198238828, + "deflection": 0.010728609053898368, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_2253", + "improvement_over_parent": null + }, + "node_2255": { + "node_id": "node_2255", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 205.88 kg\n Factor of Safety: 1.00\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.87777109999442, + "fos_buckling": 1.003338043022088, + "fos_yielding": 5.141148198238829, + "deflection": 0.008718619432805287, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_2254", + "improvement_over_parent": null + }, + "node_2256": { + "node_id": "node_2256", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.54 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.53706737684183, + "fos_buckling": 1.5254434432197415, + "fos_yielding": 4.601805811527452, + "deflection": 0.006972025917468838, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_2255", + "improvement_over_parent": null + }, + "node_2257": { + "node_id": "node_2257", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2256", + "improvement_over_parent": null + }, + "node_2258": { + "node_id": "node_2258", + "content": "INITIAL DESIGN (Trace 327)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 158.73 kg\n Factor of Safety: 0.83\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": 158.72959999671002, + "fos_buckling": 0.829545175286493, + "fos_yielding": 3.666169496329398, + "deflection": 0.011400698199146138, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2259": { + "node_id": "node_2259", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 195.29 kg\n Factor of Safety: 0.98\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": 195.2882911272567, + "fos_buckling": 0.9821353462548128, + "fos_yielding": 4.502719176583475, + "deflection": 0.009304327155084143, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_2258", + "improvement_over_parent": null + }, + "node_2260": { + "node_id": "node_2260", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 217.38 kg\n Factor of Safety: 1.44\n Max Deflection: 7.48e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.37943925591702, + "fos_buckling": 1.4394431831742704, + "fos_yielding": 4.5168928356462255, + "deflection": 0.007482490475317792, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_2259", + "improvement_over_parent": null + }, + "node_2261": { + "node_id": "node_2261", + "content": "MODIFICATION: Increase 1 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.70 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.70193523346305, + "fos_buckling": 1.5266425955135678, + "fos_yielding": 4.605982796020858, + "deflection": 0.006966898375686001, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.631)" + }, + "parent_node_id": "node_2260", + "improvement_over_parent": null + }, + "node_2262": { + "node_id": "node_2262", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2261", + "improvement_over_parent": null + }, + "node_2263": { + "node_id": "node_2263", + "content": "INITIAL DESIGN (Trace 328)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 155.47 kg\n Factor of Safety: 0.83\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": 155.46575754296637, + "fos_buckling": 0.8338858994895983, + "fos_yielding": 3.070145526969706, + "deflection": 0.011685332317418338, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2264": { + "node_id": "node_2264", + "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 159.75 kg\n Factor of Safety: 0.83\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": 159.74626925704356, + "fos_buckling": 0.8334162908651805, + "fos_yielding": 3.070145526969706, + "deflection": 0.010946429779577684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.252)" + }, + "parent_node_id": "node_2263", + "improvement_over_parent": null + }, + "node_2265": { + "node_id": "node_2265", + "content": "MODIFICATION: Increase 6 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 160.75 kg\n Factor of Safety: 0.83\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.7549647950656, + "fos_buckling": 0.8334162908651805, + "fos_yielding": 3.6065139873036736, + "deflection": 0.010946429779577684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.361)" + }, + "parent_node_id": "node_2264", + "improvement_over_parent": null + }, + "node_2266": { + "node_id": "node_2266", + "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 161.29 kg\n Factor of Safety: 0.83\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": 161.2925230832945, + "fos_buckling": 0.8334162908651805, + "fos_yielding": 4.102311236213376, + "deflection": 0.010882926821314299, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.196)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 181.30 kg\n Factor of Safety: 1.27\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": 181.29658927153585, + "fos_buckling": 1.2663183518100707, + "fos_yielding": 3.6749351016109197, + "deflection": 0.008704324036620262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005564)" + }, + "parent_node_id": "node_2266", + "improvement_over_parent": null + }, + "node_2268": { + "node_id": "node_2268", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.54 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.53700251629144, + "fos_buckling": 1.525263294927618, + "fos_yielding": 4.6049636493613875, + "deflection": 0.006971587776813945, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_2267", + "improvement_over_parent": null + }, + "node_2269": { + "node_id": "node_2269", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2268", + "improvement_over_parent": null + }, + "node_2270": { + "node_id": "node_2270", + "content": "INITIAL DESIGN (Trace 329)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 163.42 kg\n Factor of Safety: 0.84\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": 163.42357223436903, + "fos_buckling": 0.8381532955822832, + "fos_yielding": 3.7902395208412876, + "deflection": 0.01067488602363373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2271": { + "node_id": "node_2271", + "content": "MODIFICATION: Increase 2 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 166.01 kg\n Factor of Safety: 0.84\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": 166.00594580675187, + "fos_buckling": 0.8378686889832297, + "fos_yielding": 3.7900845876065596, + "deflection": 0.01067839802126641, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.178)" + }, + "parent_node_id": "node_2270", + "improvement_over_parent": null + }, + "node_2272": { + "node_id": "node_2272", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 201.54 kg\n Factor of Safety: 0.98\n Max Deflection: 8.83e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.53774803299325, + "fos_buckling": 0.9813998871044965, + "fos_yielding": 4.595051302314204, + "deflection": 0.008833258891601284, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_2271", + "improvement_over_parent": null + }, + "node_2273": { + "node_id": "node_2273", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.15 kg\n Factor of Safety: 1.49\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.15427694228785, + "fos_buckling": 1.48712552203407, + "fos_yielding": 4.6164564782648965, + "deflection": 0.007045652004396139, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_2272", + "improvement_over_parent": null + }, + "node_2274": { + "node_id": "node_2274", + "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.72 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.72113149496332, + "fos_buckling": 1.526479227117631, + "fos_yielding": 4.606044268039484, + "deflection": 0.006966261165463921, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.342)" + }, + "parent_node_id": "node_2273", + "improvement_over_parent": null + }, + "node_2275": { + "node_id": "node_2275", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2274", + "improvement_over_parent": null + }, + "node_2276": { + "node_id": "node_2276", + "content": "INITIAL DESIGN (Trace 330)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\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_2277": { + "node_id": "node_2277", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 180.36 kg\n Factor of Safety: 0.98\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": 180.35593958565227, + "fos_buckling": 0.9837286148880408, + "fos_yielding": 5.143770618251928, + "deflection": 0.01071176497942438, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_2276", + "improvement_over_parent": null + }, + "node_2278": { + "node_id": "node_2278", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 202.02 kg\n Factor of Safety: 0.98\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": 202.0152358624997, + "fos_buckling": 0.9809398376807867, + "fos_yielding": 4.58780566902126, + "deflection": 0.00881729947182881, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_2277", + "improvement_over_parent": null + }, + "node_2279": { + "node_id": "node_2279", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6317647717943, + "fos_buckling": 1.5259802323177476, + "fos_yielding": 4.604198472119851, + "deflection": 0.00696899371582389, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_2278", + "improvement_over_parent": null + }, + "node_2280": { + "node_id": "node_2280", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2279", + "improvement_over_parent": null + }, + "node_2281": { + "node_id": "node_2281", + "content": "INITIAL DESIGN (Trace 331)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0039)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n\nPerformance:\n Mass: 86.00 kg\n Factor of Safety: 0.34\n Max Deflection: 3.26e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 85.99907226154586, + "fos_buckling": 0.34497121072702075, + "fos_yielding": 1.977141886523503, + "deflection": 0.032555328852625263, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2282": { + "node_id": "node_2282", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n\nPerformance:\n Mass: 98.97 kg\n Factor of Safety: 0.39\n Max Deflection: 2.83e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 98.97433733743942, + "fos_buckling": 0.39110363995543196, + "fos_yielding": 2.274324829745187, + "deflection": 0.028327909792115354, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_2281", + "improvement_over_parent": null + }, + "node_2283": { + "node_id": "node_2283", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n\nPerformance:\n Mass: 118.70 kg\n Factor of Safety: 0.39\n Max Deflection: 1.97e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.69934924899292, + "fos_buckling": 0.39008315241888036, + "fos_yielding": 2.3551709296952947, + "deflection": 0.019682855656755895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.004749)" + }, + "parent_node_id": "node_2282", + "improvement_over_parent": null + }, + "node_2284": { + "node_id": "node_2284", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n\nPerformance:\n Mass: 139.87 kg\n Factor of Safety: 0.45\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.87155054333357, + "fos_buckling": 0.45003185486680264, + "fos_yielding": 2.7723717906866887, + "deflection": 0.016742976904647672, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_2283", + "improvement_over_parent": null + }, + "node_2285": { + "node_id": "node_2285", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n\nPerformance:\n Mass: 158.72 kg\n Factor of Safety: 0.50\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.71724312463368, + "fos_buckling": 0.5009901142996928, + "fos_yielding": 3.142998912391556, + "deflection": 0.014785936999330968, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_2284", + "improvement_over_parent": null + }, + "node_2286": { + "node_id": "node_2286", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 185.42 kg\n Factor of Safety: 1.29\n Max Deflection: 8.52e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.41990162458956, + "fos_buckling": 1.2907521038627205, + "fos_yielding": 3.756024918973665, + "deflection": 0.008515046771087881, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006513)" + }, + "parent_node_id": "node_2285", + "improvement_over_parent": null + }, + "node_2287": { + "node_id": "node_2287", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.635930922397, + "fos_buckling": 1.526132718134535, + "fos_yielding": 4.604595800852817, + "deflection": 0.0069688986484364775, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_2286", + "improvement_over_parent": null + }, + "node_2288": { + "node_id": "node_2288", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2287", + "improvement_over_parent": null + }, + "node_2289": { + "node_id": "node_2289", + "content": "INITIAL DESIGN (Trace 332)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n\nPerformance:\n Mass: 108.05 kg\n Factor of Safety: 0.65\n Max Deflection: 4.30e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 108.051339171465, + "fos_buckling": 0.6536178868188833, + "fos_yielding": 3.859866326958068, + "deflection": 42971005630634.51, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2290": { + "node_id": "node_2290", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n Mass: 132.62 kg\n Factor of Safety: 0.78\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.623404894366, + "fos_buckling": 0.7754971325759306, + "fos_yielding": 3.859866326958068, + "deflection": 0.014188146641747187, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005957)" + }, + "parent_node_id": "node_2289", + "improvement_over_parent": null + }, + "node_2291": { + "node_id": "node_2291", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n Mass: 151.45 kg\n Factor of Safety: 0.77\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": 151.45457405742786, + "fos_buckling": 0.7735734440204723, + "fos_yielding": 3.4459329767095914, + "deflection": 0.01168904680247593, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005215)" + }, + "parent_node_id": "node_2290", + "improvement_over_parent": null + }, + "node_2292": { + "node_id": "node_2292", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n Mass: 181.86 kg\n Factor of Safety: 0.90\n Max Deflection: 9.77e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.8596665505556, + "fos_buckling": 0.9012645109574455, + "fos_yielding": 4.133148948071723, + "deflection": 0.009770666506362507, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_2291", + "improvement_over_parent": null + }, + "node_2293": { + "node_id": "node_2293", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n\nPerformance:\n Mass: 201.55 kg\n Factor of Safety: 1.37\n Max Deflection: 7.81e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.54608137367302, + "fos_buckling": 1.3695494324213247, + "fos_yielding": 4.14757186546758, + "deflection": 0.007812281335467301, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005408)" + }, + "parent_node_id": "node_2292", + "improvement_over_parent": null + }, + "node_2294": { + "node_id": "node_2294", + "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0086)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n\nPerformance:\n Mass: 206.51 kg\n Factor of Safety: 1.37\n Max Deflection: 7.63e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.51175007222395, + "fos_buckling": 1.3702846563831632, + "fos_yielding": 4.173372508397045, + "deflection": 0.007634545008048834, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.186)" + }, + "parent_node_id": "node_2293", + "improvement_over_parent": null + }, + "node_2295": { + "node_id": "node_2295", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0096)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n\nPerformance:\n Mass: 229.21 kg\n Factor of Safety: 1.49\n Max Deflection: 6.90e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.21119303864901, + "fos_buckling": 1.4909652304690757, + "fos_yielding": 4.629081272420729, + "deflection": 0.00689603129369119, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_2294", + "improvement_over_parent": null + }, + "node_2296": { + "node_id": "node_2296", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2295", + "improvement_over_parent": null + }, + "node_2297": { + "node_id": "node_2297", + "content": "INITIAL DESIGN (Trace 333)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, 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_2298": { + "node_id": "node_2298", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 129.71 kg\n Factor of Safety: 0.35\n Max Deflection: 4.92e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.70831089325472, + "fos_buckling": 0.3503581963434849, + "fos_yielding": 2.5603579955148628, + "deflection": 49218191855914.16, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005521)" + }, + "parent_node_id": "node_2297", + "improvement_over_parent": null + }, + "node_2299": { + "node_id": "node_2299", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n Mass: 131.59 kg\n Factor of Safety: 1.37\n Max Deflection: 2.46e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.5936871390864, + "fos_buckling": 1.3716527481628242, + "fos_yielding": 1.8274376702109523, + "deflection": 24558088874532.78, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002934)" + }, + "parent_node_id": "node_2298", + "improvement_over_parent": null + }, + "node_2300": { + "node_id": "node_2300", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n\nPerformance:\n Mass: 157.21 kg\n Factor of Safety: 0.81\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.2072993236293, + "fos_buckling": 0.809480767006821, + "fos_yielding": 3.650164458070822, + "deflection": 0.011191940300513945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006270)" + }, + "parent_node_id": "node_2299", + "improvement_over_parent": null + }, + "node_2301": { + "node_id": "node_2301", + "content": "MODIFICATION: Increase 3 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n\nPerformance:\n Mass: 159.72 kg\n Factor of Safety: 0.81\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.72488807816205, + "fos_buckling": 0.8092125957935757, + "fos_yielding": 3.6330382267955534, + "deflection": 0.011094851825561145, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.185)" + }, + "parent_node_id": "node_2300", + "improvement_over_parent": null + }, + "node_2302": { + "node_id": "node_2302", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 201.92 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.9207858801764, + "fos_buckling": 0.9806012682256887, + "fos_yielding": 4.585776344889071, + "deflection": 0.008821217798224831, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_2301", + "improvement_over_parent": null + }, + "node_2303": { + "node_id": "node_2303", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.54 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.537314789471, + "fos_buckling": 1.525389168674894, + "fos_yielding": 4.602164989281729, + "deflection": 0.006971914143520368, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 334)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n Mass: 157.38 kg\n Factor of Safety: 0.89\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": 157.3823180023099, + "fos_buckling": 0.8877912698451, + "fos_yielding": 3.948886135981038, + "deflection": 0.011526870151795937, + "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: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n Mass: 161.10 kg\n Factor of Safety: 0.89\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": 161.10059723643693, + "fos_buckling": 0.8873569283997034, + "fos_yielding": 3.9485817574916777, + "deflection": 0.01101451390130834, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.193)" + }, + "parent_node_id": "node_2305", + "improvement_over_parent": null + }, + "node_2307": { + "node_id": "node_2307", + "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n Mass: 166.35 kg\n Factor of Safety: 0.89\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.35387032249122, + "fos_buckling": 0.8867440043822824, + "fos_yielding": 3.9765301297657447, + "deflection": 0.010789565445643941, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.290)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n Mass: 188.91 kg\n Factor of Safety: 0.98\n Max Deflection: 9.53e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.90698517714387, + "fos_buckling": 0.9823102965501753, + "fos_yielding": 4.509205777763512, + "deflection": 0.009525466489469659, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_2307", + "improvement_over_parent": null + }, + "node_2309": { + "node_id": "node_2309", + "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n Mass: 192.87 kg\n Factor of Safety: 0.98\n Max Deflection: 9.28e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.87134164746348, + "fos_buckling": 0.9817999848893669, + "fos_yielding": 4.54872384147011, + "deflection": 0.00928130712125384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.211)" + }, + "parent_node_id": "node_2308", + "improvement_over_parent": null + }, + "node_2310": { + "node_id": "node_2310", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 214.96 kg\n Factor of Safety: 1.23\n Max Deflection: 7.44e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.9624897761238, + "fos_buckling": 1.2302974682013372, + "fos_yielding": 4.563184358641149, + "deflection": 0.007443915758316598, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_2309", + "improvement_over_parent": null + }, + "node_2311": { + "node_id": "node_2311", + "content": "MODIFICATION: Increase 10 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0096)]\n\nPerformance:\n Mass: 222.69 kg\n Factor of Safety: 1.23\n Max Deflection: 7.32e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.69272339968364, + "fos_buckling": 1.2275145256712525, + "fos_yielding": 4.563737647755915, + "deflection": 0.0073212677355603715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.401)" + }, + "parent_node_id": "node_2310", + "improvement_over_parent": null + }, + "node_2312": { + "node_id": "node_2312", + "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0096)]\n\nPerformance:\n Mass: 227.04 kg\n Factor of Safety: 1.36\n Max Deflection: 7.10e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.0420812217151, + "fos_buckling": 1.3596850628120378, + "fos_yielding": 4.598936688603138, + "deflection": 0.007103022686803834, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.196)" + }, + "parent_node_id": "node_2311", + "improvement_over_parent": null + }, + "node_2313": { + "node_id": "node_2313", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2312", + "improvement_over_parent": null + }, + "node_2314": { + "node_id": "node_2314", + "content": "INITIAL DESIGN (Trace 335)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n\nPerformance:\n Mass: 129.62 kg\n Factor of Safety: 0.42\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.6233110661693, + "fos_buckling": 0.4225025406666698, + "fos_yielding": 2.578175833469782, + "deflection": 0.018420828294642387, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2315": { + "node_id": "node_2315", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n Mass: 151.49 kg\n Factor of Safety: 1.02\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": 151.49303485944824, + "fos_buckling": 1.020987859839276, + "fos_yielding": 3.087496427406875, + "deflection": 0.010482476895691916, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005262)" + }, + "parent_node_id": "node_2314", + "improvement_over_parent": null + }, + "node_2316": { + "node_id": "node_2316", + "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n Mass: 151.89 kg\n Factor of Safety: 1.09\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": 151.88916836300794, + "fos_buckling": 1.088467154749933, + "fos_yielding": 3.0800918850683283, + "deflection": 0.010355373786107543, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.351)" + }, + "parent_node_id": "node_2315", + "improvement_over_parent": null + }, + "node_2317": { + "node_id": "node_2317", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 176.27 kg\n Factor of Safety: 1.24\n Max Deflection: 8.95e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.2706514340783, + "fos_buckling": 1.2367894154845152, + "fos_yielding": 3.5715589569601223, + "deflection": 0.008947650870675648, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_2316", + "improvement_over_parent": null + }, + "node_2318": { + "node_id": "node_2318", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.50 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5024269503165, + "fos_buckling": 1.5252590665186097, + "fos_yielding": 4.6016157327443326, + "deflection": 0.006972786745774992, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 336)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0014)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0023)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n\nPerformance:\n Mass: 103.31 kg\n Factor of Safety: 0.36\n Max Deflection: 2.24e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 103.3129876006406, + "fos_buckling": 0.3627782075331795, + "fos_yielding": 2.169627266945755, + "deflection": 0.02239487676128786, + "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: Increase 8 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0014)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n\nPerformance:\n Mass: 108.86 kg\n Factor of Safety: 0.36\n Max Deflection: 2.20e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 108.86431148938061, + "fos_buckling": 0.36251145677153, + "fos_yielding": 2.16923139746688, + "deflection": 0.022031397195336967, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.661)" + }, + "parent_node_id": "node_2320", + "improvement_over_parent": null + }, + "node_2322": { + "node_id": "node_2322", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n Mass: 126.05 kg\n Factor of Safety: 0.41\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.05118435491079, + "fos_buckling": 0.4126220452584089, + "fos_yielding": 2.509521858765204, + "deflection": 0.019058593075704948, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_2321", + "improvement_over_parent": null + }, + "node_2323": { + "node_id": "node_2323", + "content": "MODIFICATION: Increase 5 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n Mass: 126.52 kg\n Factor of Safety: 0.41\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.52048289137801, + "fos_buckling": 0.41257086560801004, + "fos_yielding": 2.5094445086886727, + "deflection": 0.018481950495578423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.460)" + }, + "parent_node_id": "node_2322", + "improvement_over_parent": null + }, + "node_2324": { + "node_id": "node_2324", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 157.01 kg\n Factor of Safety: 0.50\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.0107160558181, + "fos_buckling": 0.4964778828352425, + "fos_yielding": 3.1095341294655032, + "deflection": 0.01494357180905818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_2323", + "improvement_over_parent": null + }, + "node_2325": { + "node_id": "node_2325", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 183.41 kg\n Factor of Safety: 1.28\n Max Deflection: 8.61e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.41234113727978, + "fos_buckling": 1.2786773428707674, + "fos_yielding": 3.7158916699021134, + "deflection": 0.008606140514076925, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006434)" + }, + "parent_node_id": "node_2324", + "improvement_over_parent": null + }, + "node_2326": { + "node_id": "node_2326", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.84 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.84312965245093, + "fos_buckling": 1.5268519298122554, + "fos_yielding": 4.609094340316825, + "deflection": 0.006962595710584185, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 337)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0022)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 114.49 kg\n Factor of Safety: 0.69\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": 114.49069649946992, + "fos_buckling": 0.6891796792920517, + "fos_yielding": 2.129635718715092, + "deflection": 0.01622622422054003, + "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 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 135.34 kg\n Factor of Safety: 0.80\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": 135.3414738384692, + "fos_buckling": 0.7960347755552034, + "fos_yielding": 2.527505930883676, + "deflection": 0.013766497864625155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_2328", + "improvement_over_parent": null + }, + "node_2330": { + "node_id": "node_2330", + "content": "MODIFICATION: Increase 6 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 136.76 kg\n Factor of Safety: 0.80\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.76254300127587, + "fos_buckling": 0.7960347755552034, + "fos_yielding": 3.981786876598167, + "deflection": 0.013766497864625155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.616)" + }, + "parent_node_id": "node_2329", + "improvement_over_parent": null + }, + "node_2331": { + "node_id": "node_2331", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 152.44 kg\n Factor of Safety: 0.87\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.4388252370342, + "fos_buckling": 0.8719256622993904, + "fos_yielding": 4.437258651682562, + "deflection": 0.012376852268950227, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_2330", + "improvement_over_parent": null + }, + "node_2332": { + "node_id": "node_2332", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n\nPerformance:\n Mass: 167.75 kg\n Factor of Safety: 0.87\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.75496533058757, + "fos_buckling": 0.8701700867660245, + "fos_yielding": 4.005540925133516, + "deflection": 0.010417092999150432, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004188)" + }, + "parent_node_id": "node_2331", + "improvement_over_parent": null + }, + "node_2333": { + "node_id": "node_2333", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n\nPerformance:\n Mass: 189.83 kg\n Factor of Safety: 1.28\n Max Deflection: 8.26e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.82726707184565, + "fos_buckling": 1.2837986613110643, + "fos_yielding": 4.018743779712494, + "deflection": 0.00826468015538289, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006117)" + }, + "parent_node_id": "node_2332", + "improvement_over_parent": null + }, + "node_2334": { + "node_id": "node_2334", + "content": "MODIFICATION: Increase 9 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n\nPerformance:\n Mass: 196.16 kg\n Factor of Safety: 1.35\n Max Deflection: 8.06e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.16338846843595, + "fos_buckling": 1.3526257697987913, + "fos_yielding": 3.973473652932476, + "deflection": 0.008058403652861118, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.447)" + }, + "parent_node_id": "node_2333", + "improvement_over_parent": null + }, + "node_2335": { + "node_id": "node_2335", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.59 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.59229914118185, + "fos_buckling": 1.5258626971215024, + "fos_yielding": 4.605164158550612, + "deflection": 0.0069701692941766535, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_2334", + "improvement_over_parent": null + }, + "node_2336": { + "node_id": "node_2336", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2335", + "improvement_over_parent": null + }, + "node_2337": { + "node_id": "node_2337", + "content": "INITIAL DESIGN (Trace 338)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0039)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0041)]\n\nPerformance:\n Mass: 79.31 kg\n Factor of Safety: 0.34\n Max Deflection: 2.67e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 79.31170913166957, + "fos_buckling": 0.3367607633001848, + "fos_yielding": 1.827437670210952, + "deflection": 26662136944792.14, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 99.25 kg\n Factor of Safety: 0.66\n Max Deflection: 1.68e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 99.24536596222244, + "fos_buckling": 0.658804115212934, + "fos_yielding": 3.224680040801396, + "deflection": 16839046447972.447, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_2337", + "improvement_over_parent": null + }, + "node_2339": { + "node_id": "node_2339", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n\nPerformance:\n Mass: 113.44 kg\n Factor of Safety: 1.18\n Max Deflection: 2.25e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.44163741652235, + "fos_buckling": 1.175043783484369, + "fos_yielding": 3.4187410612461715, + "deflection": 22490273942202.316, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004325)" + }, + "parent_node_id": "node_2338", + "improvement_over_parent": null + }, + "node_2340": { + "node_id": "node_2340", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n\nPerformance:\n Mass: 134.19 kg\n Factor of Safety: 0.16\n Max Deflection: 6.67e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.19264932605566, + "fos_buckling": 0.1613501151797806, + "fos_yielding": 0.9137188351054761, + "deflection": 66710493780835.39, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_2339", + "improvement_over_parent": null + }, + "node_2341": { + "node_id": "node_2341", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n\nPerformance:\n Mass: 159.31 kg\n Factor of Safety: 0.80\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.30727981955326, + "fos_buckling": 0.7956041804619135, + "fos_yielding": 3.5609498178885968, + "deflection": 0.01131602867978352, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006139)" + }, + "parent_node_id": "node_2340", + "improvement_over_parent": null + }, + "node_2342": { + "node_id": "node_2342", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n\nPerformance:\n Mass: 185.12 kg\n Factor of Safety: 0.90\n Max Deflection: 9.77e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.12087348110379, + "fos_buckling": 0.9014326132372205, + "fos_yielding": 4.134080633348495, + "deflection": 0.009768416545689561, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_2341", + "improvement_over_parent": null + }, + "node_2343": { + "node_id": "node_2343", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n\nPerformance:\n Mass: 205.04 kg\n Factor of Safety: 1.40\n Max Deflection: 7.72e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.03660389187792, + "fos_buckling": 1.4024732031294442, + "fos_yielding": 4.1494999332728675, + "deflection": 0.0077176706955764274, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006148)" + }, + "parent_node_id": "node_2342", + "improvement_over_parent": null + }, + "node_2344": { + "node_id": "node_2344", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.43 kg\n Factor of Safety: 1.52\n Max Deflection: 6.98e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.4281557309216, + "fos_buckling": 1.5247238658067974, + "fos_yielding": 4.599180512156037, + "deflection": 0.0069753419809402695, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 339)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, 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_2347": { + "node_id": "node_2347", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 128.43 kg\n Factor of Safety: 0.39\n Max Deflection: 5.31e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.4264339431081, + "fos_buckling": 0.38904700914657714, + "fos_yielding": 4.310578291339935, + "deflection": 53087414347795.734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007202)" + }, + "parent_node_id": "node_2346", + "improvement_over_parent": null + }, + "node_2348": { + "node_id": "node_2348", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n Mass: 150.88 kg\n Factor of Safety: 0.33\n Max Deflection: 3.28e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.88120371973557, + "fos_buckling": 0.3338767897771949, + "fos_yielding": 1.8274376702109523, + "deflection": 32794019475935.4, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006304)" + }, + "parent_node_id": "node_2347", + "improvement_over_parent": null + }, + "node_2349": { + "node_id": "node_2349", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n\nPerformance:\n Mass: 173.78 kg\n Factor of Safety: 0.56\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.78069846749815, + "fos_buckling": 0.5628743923346087, + "fos_yielding": 3.325691824086258, + "deflection": 0.013804931955804754, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006366)" + }, + "parent_node_id": "node_2348", + "improvement_over_parent": null + }, + "node_2350": { + "node_id": "node_2350", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 194.35 kg\n Factor of Safety: 0.62\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.34656498857117, + "fos_buckling": 0.6160885174731331, + "fos_yielding": 3.731751019593508, + "deflection": 0.012366605024805443, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_2349", + "improvement_over_parent": null + }, + "node_2351": { + "node_id": "node_2351", + "content": "MODIFICATION: Increase 5 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 195.19 kg\n Factor of Safety: 0.62\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.1894711036781, + "fos_buckling": 0.6159524561678907, + "fos_yielding": 4.260411021258963, + "deflection": 0.011904678558738177, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.600)" + }, + "parent_node_id": "node_2350", + "improvement_over_parent": null + }, + "node_2352": { + "node_id": "node_2352", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.58 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5830907437964, + "fos_buckling": 1.5257047073167789, + "fos_yielding": 4.603144447561365, + "deflection": 0.0069704869217233085, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_2351", + "improvement_over_parent": null + }, + "node_2353": { + "node_id": "node_2353", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2352", + "improvement_over_parent": null + }, + "node_2354": { + "node_id": "node_2354", + "content": "INITIAL DESIGN (Trace 340)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n\nPerformance:\n Mass: 92.83 kg\n Factor of Safety: 0.34\n Max Deflection: 2.02e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 92.82637763925908, + "fos_buckling": 0.33773117037600053, + "fos_yielding": 1.8274376702109523, + "deflection": 20236562787480.395, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2355": { + "node_id": "node_2355", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 114.59 kg\n Factor of Safety: 0.68\n Max Deflection: 1.08e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 114.59024167437273, + "fos_buckling": 0.6754623407520011, + "fos_yielding": 3.524597120096131, + "deflection": 10754757573843.643, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005235)" + }, + "parent_node_id": "node_2354", + "improvement_over_parent": null + }, + "node_2356": { + "node_id": "node_2356", + "content": "MODIFICATION: Increase 4 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 114.97 kg\n Factor of Safety: 1.11\n Max Deflection: 4.41e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 114.9663678669702, + "fos_buckling": 1.110068685219872, + "fos_yielding": 0.9137188351054761, + "deflection": 44060047581162.65, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.330)" + }, + "parent_node_id": "node_2355", + "improvement_over_parent": null + }, + "node_2357": { + "node_id": "node_2357", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n Mass: 133.00 kg\n Factor of Safety: 1.47\n Max Deflection: 1.50e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.0032394157236, + "fos_buckling": 1.4683112217038798, + "fos_yielding": 3.9380282632867654, + "deflection": 15037962679243.74, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_2356", + "improvement_over_parent": null + }, + "node_2358": { + "node_id": "node_2358", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n\nPerformance:\n Mass: 157.88 kg\n Factor of Safety: 0.79\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.8849929403334, + "fos_buckling": 0.7893516866203987, + "fos_yielding": 3.5297668673517526, + "deflection": 0.011416641875727902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006078)" + }, + "parent_node_id": "node_2357", + "improvement_over_parent": null + }, + "node_2359": { + "node_id": "node_2359", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n\nPerformance:\n Mass: 174.85 kg\n Factor of Safety: 1.23\n Max Deflection: 9.02e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.85289240183056, + "fos_buckling": 1.2284113511802108, + "fos_yielding": 3.5430462066033157, + "deflection": 0.009018857343014493, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005172)" + }, + "parent_node_id": "node_2358", + "improvement_over_parent": null + }, + "node_2360": { + "node_id": "node_2360", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.74 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.7406934970146, + "fos_buckling": 1.5265831982437463, + "fos_yielding": 4.606452623945332, + "deflection": 0.006965751696235994, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_2359", + "improvement_over_parent": null + }, + "node_2361": { + "node_id": "node_2361", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2360", + "improvement_over_parent": null + }, + "node_2362": { + "node_id": "node_2362", + "content": "INITIAL DESIGN (Trace 341)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n\nPerformance:\n Mass: 117.99 kg\n Factor of Safety: 0.40\n Max Deflection: 1.96e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.98809835777777, + "fos_buckling": 0.40067463083131255, + "fos_yielding": 2.4262928741674172, + "deflection": 0.019569337526756166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2363": { + "node_id": "node_2363", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n Mass: 144.39 kg\n Factor of Safety: 0.48\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": 144.387296928491, + "fos_buckling": 0.4769172660578449, + "fos_yielding": 2.964079758394358, + "deflection": 0.016039761303877284, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_2362", + "improvement_over_parent": null + }, + "node_2364": { + "node_id": "node_2364", + "content": "MODIFICATION: Increase 7 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n Mass: 149.60 kg\n Factor of Safety: 0.48\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.60252198879508, + "fos_buckling": 0.4765895433091647, + "fos_yielding": 2.9635726958970277, + "deflection": 0.01567147006016378, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.284)" + }, + "parent_node_id": "node_2363", + "improvement_over_parent": null + }, + "node_2365": { + "node_id": "node_2365", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 194.86 kg\n Factor of Safety: 0.59\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": 194.85529060875527, + "fos_buckling": 0.592394888694118, + "fos_yielding": 3.851462860793587, + "deflection": 0.012092546726611636, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_2364", + "improvement_over_parent": null + }, + "node_2366": { + "node_id": "node_2366", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63288535164077, + "fos_buckling": 1.5259851028492648, + "fos_yielding": 4.60422634007454, + "deflection": 0.006968949562293042, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_2365", + "improvement_over_parent": null + }, + "node_2367": { + "node_id": "node_2367", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2366", + "improvement_over_parent": null + }, + "node_2368": { + "node_id": "node_2368", + "content": "INITIAL DESIGN (Trace 342)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 163.75 kg\n Factor of Safety: 0.92\n Max Deflection: 3.63e+11 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.7496751865838, + "fos_buckling": 0.9170675709237242, + "fos_yielding": 4.6400317644701214, + "deflection": 362519955523.6713, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2369": { + "node_id": "node_2369", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n Mass: 165.90 kg\n Factor of Safety: 0.90\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": 165.9012014799333, + "fos_buckling": 0.9048265980968329, + "fos_yielding": 4.642023032094928, + "deflection": 0.011855460671802404, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003384)" + }, + "parent_node_id": "node_2368", + "improvement_over_parent": null + }, + "node_2370": { + "node_id": "node_2370", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n\nPerformance:\n Mass: 185.83 kg\n Factor of Safety: 0.92\n Max Deflection: 9.64e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.83182572771523, + "fos_buckling": 0.9239220540695613, + "fos_yielding": 4.642023032094929, + "deflection": 0.009635499372495119, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006153)" + }, + "parent_node_id": "node_2369", + "improvement_over_parent": null + }, + "node_2371": { + "node_id": "node_2371", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n\nPerformance:\n Mass: 205.38 kg\n Factor of Safety: 1.40\n Max Deflection: 7.70e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.37505968022205, + "fos_buckling": 1.4045307205238013, + "fos_yielding": 4.157141013819857, + "deflection": 0.007704956780331266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006093)" + }, + "parent_node_id": "node_2370", + "improvement_over_parent": null + }, + "node_2372": { + "node_id": "node_2372", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.61437290156334, + "fos_buckling": 1.5258873709024943, + "fos_yielding": 4.603835928887161, + "deflection": 0.006969523054828346, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_2371", + "improvement_over_parent": null + }, + "node_2373": { + "node_id": "node_2373", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2372", + "improvement_over_parent": null + }, + "node_2374": { + "node_id": "node_2374", + "content": "INITIAL DESIGN (Trace 343)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0026)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0022)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0021)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n Mass: 117.00 kg\n Factor of Safety: 0.65\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.9986433614512, + "fos_buckling": 0.6466354094625644, + "fos_yielding": 1.8551284254983103, + "deflection": 0.01491667216137643, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2375": { + "node_id": "node_2375", + "content": "MODIFICATION: Increase 3 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0022)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0021)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n Mass: 121.36 kg\n Factor of Safety: 0.65\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.35885310437578, + "fos_buckling": 0.6462626629800678, + "fos_yielding": 1.8344748862906906, + "deflection": 0.014613908690897424, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.520)" + }, + "parent_node_id": "node_2374", + "improvement_over_parent": null + }, + "node_2376": { + "node_id": "node_2376", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0022)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0021)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n\nPerformance:\n Mass: 136.97 kg\n Factor of Safety: 0.73\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": 136.96714759647304, + "fos_buckling": 0.7307712705610809, + "fos_yielding": 1.8409835559367318, + "deflection": 0.011732673149206625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004226)" + }, + "parent_node_id": "node_2375", + "improvement_over_parent": null + }, + "node_2377": { + "node_id": "node_2377", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n\nPerformance:\n Mass: 172.69 kg\n Factor of Safety: 0.91\n Max Deflection: 9.34e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.6894542382248, + "fos_buckling": 0.9091393124754317, + "fos_yielding": 2.3303582799057914, + "deflection": 0.009339146005219609, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_2376", + "improvement_over_parent": null + }, + "node_2378": { + "node_id": "node_2378", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 224.97 kg\n Factor of Safety: 1.16\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": 224.9713882524457, + "fos_buckling": 1.16097467567751, + "fos_yielding": 3.0552196443133535, + "deflection": 0.007206116923737421, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_2377", + "improvement_over_parent": null + }, + "node_2379": { + "node_id": "node_2379", + "content": "MODIFICATION: Increase 4 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 226.00 kg\n Factor of Safety: 1.16\n Max Deflection: 7.12e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.003735287489, + "fos_buckling": 1.1611810710768826, + "fos_yielding": 3.0557627942130634, + "deflection": 0.007123985966524518, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.339)" + }, + "parent_node_id": "node_2378", + "improvement_over_parent": null + }, + "node_2380": { + "node_id": "node_2380", + "content": "MODIFICATION: Increase 6 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.73 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.72864083495875, + "fos_buckling": 1.5264510349804632, + "fos_yielding": 4.606271852638496, + "deflection": 0.006965976978042281, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.572)" + }, + "parent_node_id": "node_2379", + "improvement_over_parent": null + }, + "node_2381": { + "node_id": "node_2381", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2380", + "improvement_over_parent": null + }, + "node_2382": { + "node_id": "node_2382", + "content": "INITIAL DESIGN (Trace 344)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0042)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n Mass: 96.36 kg\n Factor of Safety: 0.59\n Max Deflection: 4.06e+11 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 96.36329109417218, + "fos_buckling": 0.5862103502058312, + "fos_yielding": 2.787889393454036, + "deflection": 405676214731.37317, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2383": { + "node_id": "node_2383", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 125.00 kg\n Factor of Safety: 0.74\n Max Deflection: 3.65e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.00420432108143, + "fos_buckling": 0.7386911061441168, + "fos_yielding": 3.615141715507652, + "deflection": 3653278564989.164, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_2382", + "improvement_over_parent": null + }, + "node_2384": { + "node_id": "node_2384", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n\nPerformance:\n Mass: 142.65 kg\n Factor of Safety: 0.73\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.64811324454314, + "fos_buckling": 0.7313755127091003, + "fos_yielding": 3.586043399769165, + "deflection": 0.015002154083556478, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004865)" + }, + "parent_node_id": "node_2383", + "improvement_over_parent": null + }, + "node_2385": { + "node_id": "node_2385", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n\nPerformance:\n Mass: 158.16 kg\n Factor of Safety: 0.74\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.16457549552857, + "fos_buckling": 0.742816631772055, + "fos_yielding": 3.6067518095053064, + "deflection": 0.015031611325508587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004701)" + }, + "parent_node_id": "node_2384", + "improvement_over_parent": null + }, + "node_2386": { + "node_id": "node_2386", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n\nPerformance:\n Mass: 175.86 kg\n Factor of Safety: 0.81\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.86243983193455, + "fos_buckling": 0.8139017061632314, + "fos_yielding": 4.00744672994537, + "deflection": 0.013534281207820676, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_2385", + "improvement_over_parent": null + }, + "node_2387": { + "node_id": "node_2387", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n Mass: 177.72 kg\n Factor of Safety: 1.25\n Max Deflection: 8.88e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.72446147004752, + "fos_buckling": 1.245425729074442, + "fos_yielding": 3.600446794986176, + "deflection": 0.008876233015930367, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002895)" + }, + "parent_node_id": "node_2386", + "improvement_over_parent": null + }, + "node_2388": { + "node_id": "node_2388", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.43 kg\n Factor of Safety: 1.52\n Max Deflection: 6.98e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.43439278426587, + "fos_buckling": 1.5249222506985538, + "fos_yielding": 4.599760949628578, + "deflection": 0.006975063165400129, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_2387", + "improvement_over_parent": null + }, + "node_2389": { + "node_id": "node_2389", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2388", + "improvement_over_parent": null + }, + "node_2390": { + "node_id": "node_2390", + "content": "INITIAL DESIGN (Trace 345)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 138.39 kg\n Factor of Safety: 0.64\n Max Deflection: 9.07e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.38799994034824, + "fos_buckling": 0.6370244790104738, + "fos_yielding": 3.6548753404219045, + "deflection": 9066676641292.736, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2391": { + "node_id": "node_2391", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n\nPerformance:\n Mass: 165.92 kg\n Factor of Safety: 0.86\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": 165.9182385235623, + "fos_buckling": 0.8601684975041052, + "fos_yielding": 3.860860770078141, + "deflection": 0.010666291919761386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006777)" + }, + "parent_node_id": "node_2390", + "improvement_over_parent": null + }, + "node_2392": { + "node_id": "node_2392", + "content": "MODIFICATION: Increase 1 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n\nPerformance:\n Mass: 171.67 kg\n Factor of Safety: 0.86\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": 171.6664178799521, + "fos_buckling": 0.8595188519614941, + "fos_yielding": 3.9032292460926596, + "deflection": 0.010337911844251655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.340)" + }, + "parent_node_id": "node_2391", + "improvement_over_parent": null + }, + "node_2393": { + "node_id": "node_2393", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 201.83 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.83289099123127, + "fos_buckling": 0.980310482116757, + "fos_yielding": 4.584103232938799, + "deflection": 0.008824884356747546, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_2392", + "improvement_over_parent": null + }, + "node_2394": { + "node_id": "node_2394", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n\nPerformance:\n Mass: 220.93 kg\n Factor of Safety: 1.46\n Max Deflection: 7.13e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.92686116488989, + "fos_buckling": 1.457631622095786, + "fos_yielding": 4.599430071848853, + "deflection": 0.007130902522673158, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005234)" + }, + "parent_node_id": "node_2393", + "improvement_over_parent": null + }, + "node_2395": { + "node_id": "node_2395", + "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0112)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n\nPerformance:\n Mass: 231.70 kg\n Factor of Safety: 1.46\n Max Deflection: 6.85e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.70243161280771, + "fos_buckling": 1.458449662476115, + "fos_yielding": 4.64987825092378, + "deflection": 0.006850949542834258, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.376)" + }, + "parent_node_id": "node_2394", + "improvement_over_parent": null + }, + "node_2396": { + "node_id": "node_2396", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2395", + "improvement_over_parent": null + }, + "node_2397": { + "node_id": "node_2397", + "content": "INITIAL DESIGN (Trace 346)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 116.70 kg\n Factor of Safety: 0.70\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.70098199674246, + "fos_buckling": 0.698563204457386, + "fos_yielding": 3.0126080181179233, + "deflection": 0.015980752007154663, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2398": { + "node_id": "node_2398", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n\nPerformance:\n Mass: 133.39 kg\n Factor of Safety: 0.70\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.38714961136913, + "fos_buckling": 0.6970243630312465, + "fos_yielding": 3.0126080181179233, + "deflection": 0.013165194615596542, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004585)" + }, + "parent_node_id": "node_2397", + "improvement_over_parent": null + }, + "node_2399": { + "node_id": "node_2399", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n\nPerformance:\n Mass: 144.65 kg\n Factor of Safety: 0.90\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.64720167299032, + "fos_buckling": 0.8992141218710082, + "fos_yielding": 2.642457124188225, + "deflection": 0.010870356668727118, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.003004)" + }, + "parent_node_id": "node_2398", + "improvement_over_parent": null + }, + "node_2400": { + "node_id": "node_2400", + "content": "MODIFICATION: Increase 8 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n\nPerformance:\n Mass: 155.40 kg\n Factor of Safety: 0.90\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.39783704514187, + "fos_buckling": 0.8984305973077334, + "fos_yielding": 2.6401546358110473, + "deflection": 0.010298821929643764, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.541)" + }, + "parent_node_id": "node_2399", + "improvement_over_parent": null + }, + "node_2401": { + "node_id": "node_2401", + "content": "MODIFICATION: Increase 4 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n\nPerformance:\n Mass: 156.20 kg\n Factor of Safety: 1.02\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.2025291437646, + "fos_buckling": 1.0171399843858853, + "fos_yielding": 3.1109406683044947, + "deflection": 0.010166586760560604, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.406)" + }, + "parent_node_id": "node_2400", + "improvement_over_parent": null + }, + "node_2402": { + "node_id": "node_2402", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0105)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n\nPerformance:\n Mass: 200.26 kg\n Factor of Safety: 1.26\n Max Deflection: 7.96e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.26291766472698, + "fos_buckling": 1.2591611937864673, + "fos_yielding": 3.9882614953289015, + "deflection": 0.007962366377424339, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_2401", + "improvement_over_parent": null + }, + "node_2403": { + "node_id": "node_2403", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0125)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n\nPerformance:\n Mass: 234.39 kg\n Factor of Safety: 1.43\n Max Deflection: 6.82e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.38737847488886, + "fos_buckling": 1.4333046058023586, + "fos_yielding": 4.668018708375314, + "deflection": 0.006824373539945455, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 347)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n Mass: 153.09 kg\n Factor of Safety: 0.54\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.08969613368498, + "fos_buckling": 0.5386009063459455, + "fos_yielding": 3.4187423198147293, + "deflection": 0.015421829729916259, + "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 all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 172.87 kg\n Factor of Safety: 0.59\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": 172.8728146066681, + "fos_buckling": 0.5944098001030311, + "fos_yielding": 3.856631506371762, + "deflection": 0.013688191098053895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_2405", + "improvement_over_parent": null + }, + "node_2407": { + "node_id": "node_2407", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.65 kg\n Factor of Safety: 0.98\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": 205.6504093495536, + "fos_buckling": 0.9809795321578864, + "fos_yielding": 4.589953783352089, + "deflection": 0.008815115727982993, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_2406", + "improvement_over_parent": null + }, + "node_2408": { + "node_id": "node_2408", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.74 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.7415574782139, + "fos_buckling": 1.5261756560755555, + "fos_yielding": 4.606953629803067, + "deflection": 0.006965657785948641, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 348)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 223.47 kg\n Factor of Safety: 0.98\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": 223.46601324094635, + "fos_buckling": 0.9839314306753992, + "fos_yielding": 3.694968727161434, + "deflection": 0.010600478340293835, + "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: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 225.85 kg\n Factor of Safety: 1.07\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": 225.8506955525325, + "fos_buckling": 1.0737579222472482, + "fos_yielding": 3.2151440776664866, + "deflection": 0.007150221213370355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_2410", + "improvement_over_parent": null + }, + "node_2412": { + "node_id": "node_2412", + "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 226.40 kg\n Factor of Safety: 1.27\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.3982208328477, + "fos_buckling": 1.2655430551735651, + "fos_yielding": 3.8708377931941906, + "deflection": 0.007073230325037768, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.225)" + }, + "parent_node_id": "node_2411", + "improvement_over_parent": null + }, + "node_2413": { + "node_id": "node_2413", + "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63158074971733, + "fos_buckling": 1.5259770564614998, + "fos_yielding": 4.604200574926191, + "deflection": 0.006968977418969464, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.431)" + }, + "parent_node_id": "node_2412", + "improvement_over_parent": null + }, + "node_2414": { + "node_id": "node_2414", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2413", + "improvement_over_parent": null + }, + "node_2415": { + "node_id": "node_2415", + "content": "INITIAL DESIGN (Trace 349)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0032)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n Mass: 90.14 kg\n Factor of Safety: 0.36\n Max Deflection: 2.59e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 90.13738752082102, + "fos_buckling": 0.362201724809514, + "fos_yielding": 2.2951675402208407, + "deflection": 0.025861669544498995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2416": { + "node_id": "node_2416", + "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n Mass: 92.91 kg\n Factor of Safety: 0.36\n Max Deflection: 2.48e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 92.91351615398409, + "fos_buckling": 0.36206826741412457, + "fos_yielding": 2.294900478122442, + "deflection": 0.024818747720276046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.235)" + }, + "parent_node_id": "node_2415", + "improvement_over_parent": null + }, + "node_2417": { + "node_id": "node_2417", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n\nPerformance:\n Mass: 104.51 kg\n Factor of Safety: 0.36\n Max Deflection: 2.20e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 104.50511517881218, + "fos_buckling": 0.3615120831306854, + "fos_yielding": 2.2937860436588946, + "deflection": 0.022009936281637332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003494)" + }, + "parent_node_id": "node_2416", + "improvement_over_parent": null + }, + "node_2418": { + "node_id": "node_2418", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n\nPerformance:\n Mass: 120.46 kg\n Factor of Safety: 0.41\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.45883583425484, + "fos_buckling": 0.41019972273795585, + "fos_yielding": 2.64131318448578, + "deflection": 0.019129221172715143, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_2417", + "improvement_over_parent": null + }, + "node_2419": { + "node_id": "node_2419", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n\nPerformance:\n Mass: 153.59 kg\n Factor of Safety: 0.51\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.59305624100529, + "fos_buckling": 0.5059242736342263, + "fos_yielding": 3.3608769783340953, + "deflection": 0.01505840872931399, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_2418", + "improvement_over_parent": null + }, + "node_2420": { + "node_id": "node_2420", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n\nPerformance:\n Mass: 179.09 kg\n Factor of Safety: 1.25\n Max Deflection: 8.81e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.08872820292632, + "fos_buckling": 1.253135369275463, + "fos_yielding": 3.6278691658696975, + "deflection": 0.00880949326470516, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006239)" + }, + "parent_node_id": "node_2419", + "improvement_over_parent": null + }, + "node_2421": { + "node_id": "node_2421", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.54 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5434251321782, + "fos_buckling": 1.5250854499262538, + "fos_yielding": 4.601892271507798, + "deflection": 0.006971437426551642, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_2420", + "improvement_over_parent": null + }, + "node_2422": { + "node_id": "node_2422", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2421", + "improvement_over_parent": null + }, + "node_2423": { + "node_id": "node_2423", + "content": "INITIAL DESIGN (Trace 350)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 170.71 kg\n Factor of Safety: 1.07\n Max Deflection: 9.38e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.70899915266648, + "fos_buckling": 1.0673955134261632, + "fos_yielding": 3.634363945339198, + "deflection": 0.009375245879305164, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2424": { + "node_id": "node_2424", + "content": "MODIFICATION: Increase 7 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 176.70 kg\n Factor of Safety: 1.26\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": 176.70421596878873, + "fos_buckling": 1.2636937655856344, + "fos_yielding": 3.632466813174655, + "deflection": 0.008994128314453663, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.326)" + }, + "parent_node_id": "node_2423", + "improvement_over_parent": null + }, + "node_2425": { + "node_id": "node_2425", + "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 180.75 kg\n Factor of Safety: 1.26\n Max Deflection: 8.73e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.7471177406382, + "fos_buckling": 1.2633242185103357, + "fos_yielding": 3.6615793292954177, + "deflection": 0.008730538776139257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.236)" + }, + "parent_node_id": "node_2424", + "improvement_over_parent": null + }, + "node_2426": { + "node_id": "node_2426", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.67 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.66871441927572, + "fos_buckling": 1.5262381077834477, + "fos_yielding": 4.604799301531161, + "deflection": 0.006967887191208316, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_2425", + "improvement_over_parent": null + }, + "node_2427": { + "node_id": "node_2427", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2426", + "improvement_over_parent": null + }, + "node_2428": { + "node_id": "node_2428", + "content": "INITIAL DESIGN (Trace 351)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\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_2429": { + "node_id": "node_2429", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 183.88 kg\n Factor of Safety: 0.98\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": 183.882101796611, + "fos_buckling": 0.9832735181365085, + "fos_yielding": 5.143770618251929, + "deflection": 0.010723267142606609, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_2428", + "improvement_over_parent": null + }, + "node_2430": { + "node_id": "node_2430", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 205.54 kg\n Factor of Safety: 0.98\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": 205.54139807345842, + "fos_buckling": 0.9804873169904537, + "fos_yielding": 4.587202836986251, + "deflection": 0.008819896325643482, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_2429", + "improvement_over_parent": null + }, + "node_2431": { + "node_id": "node_2431", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63254620211873, + "fos_buckling": 1.5259797849074017, + "fos_yielding": 4.604198596922438, + "deflection": 0.006968977102149409, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_2430", + "improvement_over_parent": null + }, + "node_2432": { + "node_id": "node_2432", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2431", + "improvement_over_parent": null + }, + "node_2433": { + "node_id": "node_2433", + "content": "INITIAL DESIGN (Trace 352)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 158.57 kg\n Factor of Safety: 0.86\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": 158.56783182204225, + "fos_buckling": 0.8609985045443447, + "fos_yielding": 4.29236621129408, + "deflection": 0.013987608374698458, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2434": { + "node_id": "node_2434", + "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 163.03 kg\n Factor of Safety: 0.86\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.03370688228173, + "fos_buckling": 0.861513128812187, + "fos_yielding": 4.29236621129408, + "deflection": 0.013278651520215573, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.252)" + }, + "parent_node_id": "node_2433", + "improvement_over_parent": null + }, + "node_2435": { + "node_id": "node_2435", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 195.47 kg\n Factor of Safety: 1.00\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": 195.4685086174585, + "fos_buckling": 1.0019124858880881, + "fos_yielding": 5.1424645419222506, + "deflection": 0.011095699813968398, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_2434", + "improvement_over_parent": null + }, + "node_2436": { + "node_id": "node_2436", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 220.59 kg\n Factor of Safety: 0.99\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.58780359495944, + "fos_buckling": 0.9884382893018393, + "fos_yielding": 5.1542665406933335, + "deflection": 0.011086252776791912, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_2435", + "improvement_over_parent": null + }, + "node_2437": { + "node_id": "node_2437", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 222.97 kg\n Factor of Safety: 1.52\n Max Deflection: 7.15e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 222.9724859065456, + "fos_buckling": 1.52407228793793, + "fos_yielding": 4.603194011564862, + "deflection": 0.007154479712487598, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_2436", + "improvement_over_parent": null + }, + "node_2438": { + "node_id": "node_2438", + "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.52 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.52476244993207, + "fos_buckling": 1.5254191803930108, + "fos_yielding": 4.6015739052570135, + "deflection": 0.006972227966151924, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.214)" + }, + "parent_node_id": "node_2437", + "improvement_over_parent": null + }, + "node_2439": { + "node_id": "node_2439", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2438", + "improvement_over_parent": null + }, + "node_2440": { + "node_id": "node_2440", + "content": "INITIAL DESIGN (Trace 353)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n Mass: 143.05 kg\n Factor of Safety: 0.66\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.04754685144073, + "fos_buckling": 0.6638776147088695, + "fos_yielding": 3.3000309112916417, + "deflection": 0.012670531075089845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2441": { + "node_id": "node_2441", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 184.03 kg\n Factor of Safety: 0.83\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": 184.02742585597565, + "fos_buckling": 0.826836367509988, + "fos_yielding": 4.2539666239683775, + "deflection": 0.009887686658489277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_2440", + "improvement_over_parent": null + }, + "node_2442": { + "node_id": "node_2442", + "content": "MODIFICATION: Increase 7 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 194.79 kg\n Factor of Safety: 0.83\n Max Deflection: 9.44e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.7947929108738, + "fos_buckling": 0.8256701373059416, + "fos_yielding": 4.2539666239683775, + "deflection": 0.009437458161099784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.546)" + }, + "parent_node_id": "node_2441", + "improvement_over_parent": null + }, + "node_2443": { + "node_id": "node_2443", + "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 195.67 kg\n Factor of Safety: 0.83\n Max Deflection: 9.44e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.66562024118844, + "fos_buckling": 0.8256701373059416, + "fos_yielding": 5.144543067970355, + "deflection": 0.009437458161099784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.230)" + }, + "parent_node_id": "node_2442", + "improvement_over_parent": null + }, + "node_2444": { + "node_id": "node_2444", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 220.78 kg\n Factor of Safety: 1.33\n Max Deflection: 7.24e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.78491521868938, + "fos_buckling": 1.325401228224035, + "fos_yielding": 4.556133589088702, + "deflection": 0.007239955561947416, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_2443", + "improvement_over_parent": null + }, + "node_2445": { + "node_id": "node_2445", + "content": "MODIFICATION: Increase 10 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0092)]\n\nPerformance:\n Mass: 227.19 kg\n Factor of Safety: 1.37\n Max Deflection: 7.12e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.19366942940272, + "fos_buckling": 1.3721560324509037, + "fos_yielding": 4.52437548843425, + "deflection": 0.0071181668398385516, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.289)" + }, + "parent_node_id": "node_2444", + "improvement_over_parent": null + }, + "node_2446": { + "node_id": "node_2446", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2445", + "improvement_over_parent": null + }, + "node_2447": { + "node_id": "node_2447", + "content": "INITIAL DESIGN (Trace 354)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 113.49 kg\n Factor of Safety: 1.46\n Max Deflection: 1.32e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.48690895399453, + "fos_buckling": 1.455032126625892, + "fos_yielding": 3.936049744462534, + "deflection": 13237326474162.252, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2448": { + "node_id": "node_2448", + "content": "MODIFICATION: Increase 6 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 120.97 kg\n Factor of Safety: 0.92\n Max Deflection: 1.69e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.97028572416795, + "fos_buckling": 0.9167426884087001, + "fos_yielding": 1.5109884299526597, + "deflection": 168849522941884.47, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.616)" + }, + "parent_node_id": "node_2447", + "improvement_over_parent": null + }, + "node_2449": { + "node_id": "node_2449", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n Mass: 141.91 kg\n Factor of Safety: 0.52\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.9108083171337, + "fos_buckling": 0.5237928917711492, + "fos_yielding": 3.4941302237717893, + "deflection": 0.01634470459983543, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005779)" + }, + "parent_node_id": "node_2448", + "improvement_over_parent": null + }, + "node_2450": { + "node_id": "node_2450", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 173.57 kg\n Factor of Safety: 0.62\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.573828466283, + "fos_buckling": 0.6177842320997387, + "fos_yielding": 4.264943508709928, + "deflection": 0.013412536751687475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_2449", + "improvement_over_parent": null + }, + "node_2451": { + "node_id": "node_2451", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 195.23 kg\n Factor of Safety: 0.62\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.23312474313042, + "fos_buckling": 0.6160313165486457, + "fos_yielding": 4.26109546506609, + "deflection": 0.011902225343503419, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_2450", + "improvement_over_parent": null + }, + "node_2452": { + "node_id": "node_2452", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6267443832487, + "fos_buckling": 1.525996319403131, + "fos_yielding": 4.603791726247625, + "deflection": 0.006969246793597075, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 355)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, 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_2455": { + "node_id": "node_2455", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 139.02 kg\n Factor of Safety: 1.84\n Max Deflection: 7.63e+13 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 139.0184118217423, + "fos_buckling": 1.841467545973013, + "fos_yielding": 4.76500345452553, + "deflection": 76273328559463.77, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_2454", + "improvement_over_parent": null + }, + "node_2456": { + "node_id": "node_2456", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 164.14 kg\n Factor of Safety: 0.59\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": 164.13770679924323, + "fos_buckling": 0.594785701211375, + "fos_yielding": 3.8553165805287377, + "deflection": 0.013685001463376019, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_2455", + "improvement_over_parent": null + }, + "node_2457": { + "node_id": "node_2457", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 189.75 kg\n Factor of Safety: 0.59\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.75423570853783, + "fos_buckling": 0.5927882669765367, + "fos_yielding": 3.852083710965666, + "deflection": 0.01219975092802209, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_2456", + "improvement_over_parent": null + }, + "node_2458": { + "node_id": "node_2458", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 222.53 kg\n Factor of Safety: 1.47\n Max Deflection: 7.10e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.53183045142333, + "fos_buckling": 1.468805753964759, + "fos_yielding": 4.603247501368162, + "deflection": 0.007096006003760331, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_2457", + "improvement_over_parent": null + }, + "node_2459": { + "node_id": "node_2459", + "content": "MODIFICATION: Increase 2 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63951029652455, + "fos_buckling": 1.5259921599620732, + "fos_yielding": 4.604194267155129, + "deflection": 0.0069688378504065215, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.330)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 356)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2462": { + "node_id": "node_2462", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n\nPerformance:\n Mass: 167.80 kg\n Factor of Safety: 0.85\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": 167.79851902720182, + "fos_buckling": 0.8473400230925778, + "fos_yielding": 2.9747649841849464, + "deflection": 0.01062509062717388, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005661)" + }, + "parent_node_id": "node_2461", + "improvement_over_parent": null + }, + "node_2463": { + "node_id": "node_2463", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n\nPerformance:\n Mass: 189.20 kg\n Factor of Safety: 1.14\n Max Deflection: 8.42e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.1990189084793, + "fos_buckling": 1.1370837426717606, + "fos_yielding": 2.9856014838212115, + "deflection": 0.008415190328456024, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005916)" + }, + "parent_node_id": "node_2462", + "improvement_over_parent": null + }, + "node_2464": { + "node_id": "node_2464", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 226.60 kg\n Factor of Safety: 1.34\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.59654108050486, + "fos_buckling": 1.335351363033923, + "fos_yielding": 3.5854571152611943, + "deflection": 0.0070546932684168225, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_2463", + "improvement_over_parent": null + }, + "node_2465": { + "node_id": "node_2465", + "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0107)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 235.69 kg\n Factor of Safety: 1.33\n Max Deflection: 6.81e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.69444320906618, + "fos_buckling": 1.3346810848147086, + "fos_yielding": 3.583657398814411, + "deflection": 0.006812936509451765, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.319)" + }, + "parent_node_id": "node_2464", + "improvement_over_parent": null + }, + "node_2466": { + "node_id": "node_2466", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2465", + "improvement_over_parent": null + }, + "node_2467": { + "node_id": "node_2467", + "content": "INITIAL DESIGN (Trace 357)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0021)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0023)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n Mass: 114.99 kg\n Factor of Safety: 0.60\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": 114.9940470983744, + "fos_buckling": 0.6003383658478846, + "fos_yielding": 2.2592523928944956, + "deflection": 0.014219629006783474, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2468": { + "node_id": "node_2468", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0030)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 150.54 kg\n Factor of Safety: 0.77\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": 150.5447114241829, + "fos_buckling": 0.7743002140907553, + "fos_yielding": 2.9613004219881622, + "deflection": 0.010896112796849131, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_2467", + "improvement_over_parent": null + }, + "node_2469": { + "node_id": "node_2469", + "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0030)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 151.15 kg\n Factor of Safety: 0.79\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.1495446742539, + "fos_buckling": 0.7899650085019516, + "fos_yielding": 3.275414925612737, + "deflection": 0.010780862901633983, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.258)" + }, + "parent_node_id": "node_2468", + "improvement_over_parent": null + }, + "node_2470": { + "node_id": "node_2470", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 169.36 kg\n Factor of Safety: 0.88\n Max Deflection: 9.64e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.35967060136883, + "fos_buckling": 0.8782101105375537, + "fos_yielding": 3.6664976986032283, + "deflection": 0.009637813236887317, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_2469", + "improvement_over_parent": null + }, + "node_2471": { + "node_id": "node_2471", + "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 173.93 kg\n Factor of Safety: 1.04\n Max Deflection: 9.18e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.92586036707996, + "fos_buckling": 1.0396824669606886, + "fos_yielding": 3.6642730884330734, + "deflection": 0.009177765889391764, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.335)" + }, + "parent_node_id": "node_2470", + "improvement_over_parent": null + }, + "node_2472": { + "node_id": "node_2472", + "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 180.77 kg\n Factor of Safety: 1.26\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": 180.7738303393265, + "fos_buckling": 1.2633558321502583, + "fos_yielding": 3.6619602058490788, + "deflection": 0.008729221911556725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.389)" + }, + "parent_node_id": "node_2471", + "improvement_over_parent": null + }, + "node_2473": { + "node_id": "node_2473", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.70 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.7015816945769, + "fos_buckling": 1.526268324376664, + "fos_yielding": 4.605266494622453, + "deflection": 0.006966865724608237, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_2472", + "improvement_over_parent": null + }, + "node_2474": { + "node_id": "node_2474", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2473", + "improvement_over_parent": null + }, + "node_2475": { + "node_id": "node_2475", + "content": "INITIAL DESIGN (Trace 358)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0021)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 125.59 kg\n Factor of Safety: 0.01\n Max Deflection: 1.10e+15 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.59198182327228, + "fos_buckling": 0.010067281852225947, + "fos_yielding": 0.05710742719409226, + "deflection": 1098802292838995.2, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2476": { + "node_id": "node_2476", + "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0021)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 128.72 kg\n Factor of Safety: 0.64\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": 128.71655800489884, + "fos_buckling": 0.6443060385424606, + "fos_yielding": 2.1874438831277776, + "deflection": 11036878843343.32, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.176)" + }, + "parent_node_id": "node_2475", + "improvement_over_parent": null + }, + "node_2477": { + "node_id": "node_2477", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0021)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n\nPerformance:\n Mass: 154.14 kg\n Factor of Safety: 0.75\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": 154.1399013002191, + "fos_buckling": 0.7485020995127699, + "fos_yielding": 1.8885067976009706, + "deflection": 0.012572023864918125, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006220)" + }, + "parent_node_id": "node_2476", + "improvement_over_parent": null + }, + "node_2478": { + "node_id": "node_2478", + "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n\nPerformance:\n Mass: 154.59 kg\n Factor of Safety: 0.80\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.5865322934527, + "fos_buckling": 0.8044053415194561, + "fos_yielding": 2.2892664473039805, + "deflection": 0.01243394812126512, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.229)" + }, + "parent_node_id": "node_2477", + "improvement_over_parent": null + }, + "node_2479": { + "node_id": "node_2479", + "content": "MODIFICATION: Increase 5 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n\nPerformance:\n Mass: 156.06 kg\n Factor of Safety: 0.80\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.06037151659623, + "fos_buckling": 0.8044053415194562, + "fos_yielding": 3.6115398505943586, + "deflection": 0.01219572670287875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.637)" + }, + "parent_node_id": "node_2478", + "improvement_over_parent": null + }, + "node_2480": { + "node_id": "node_2480", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n\nPerformance:\n Mass: 173.40 kg\n Factor of Safety: 1.25\n Max Deflection: 9.20e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.3950600134848, + "fos_buckling": 1.2491408356595917, + "fos_yielding": 3.626626871619519, + "deflection": 0.009197041355054442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005292)" + }, + "parent_node_id": "node_2479", + "improvement_over_parent": null + }, + "node_2481": { + "node_id": "node_2481", + "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n\nPerformance:\n Mass: 178.64 kg\n Factor of Safety: 1.25\n Max Deflection: 8.83e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.63760011665096, + "fos_buckling": 1.2511345885439995, + "fos_yielding": 3.6247476554301854, + "deflection": 0.008831266196851484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.337)" + }, + "parent_node_id": "node_2480", + "improvement_over_parent": null + }, + "node_2482": { + "node_id": "node_2482", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.46 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.46124541441066, + "fos_buckling": 1.5254256610715264, + "fos_yielding": 4.607636860656398, + "deflection": 0.006973873314292383, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_2481", + "improvement_over_parent": null + }, + "node_2483": { + "node_id": "node_2483", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2482", + "improvement_over_parent": null + }, + "node_2484": { + "node_id": "node_2484", + "content": "INITIAL DESIGN (Trace 359)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0026)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0023)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0023)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0017)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0013)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0018)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0027)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0024)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0024)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0027)]\n\nPerformance:\n Mass: 80.01 kg\n Factor of Safety: 0.61\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 80.01061935535705, + "fos_buckling": 0.6091023457648403, + "fos_yielding": 1.6264658345161598, + "deflection": 0.019498556609409207, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2485": { + "node_id": "node_2485", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0034)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0030)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0036)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0032)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0036)]\n\nPerformance:\n Mass: 105.65 kg\n Factor of Safety: 0.79\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 105.64562353805545, + "fos_buckling": 0.787349317214194, + "fos_yielding": 2.1457068721675268, + "deflection": 0.014810396755131842, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.333)" + }, + "parent_node_id": "node_2484", + "improvement_over_parent": null + }, + "node_2486": { + "node_id": "node_2486", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n Mass: 134.77 kg\n Factor of Safety: 0.98\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": 134.77255397702146, + "fos_buckling": 0.9800702277092309, + "fos_yielding": 2.7345807960106137, + "deflection": 0.011648046925171495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_2485", + "improvement_over_parent": null + }, + "node_2487": { + "node_id": "node_2487", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 176.55 kg\n Factor of Safety: 1.24\n Max Deflection: 8.93e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.54607813498066, + "fos_buckling": 1.2384562712529323, + "fos_yielding": 3.5771077070589836, + "deflection": 0.008934047542905534, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_2486", + "improvement_over_parent": null + }, + "node_2488": { + "node_id": "node_2488", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.69 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.69191968173917, + "fos_buckling": 1.5263041095823828, + "fos_yielding": 4.605420884645348, + "deflection": 0.006967190488877746, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_2487", + "improvement_over_parent": null + }, + "node_2489": { + "node_id": "node_2489", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2488", + "improvement_over_parent": null + }, + "node_2490": { + "node_id": "node_2490", + "content": "INITIAL DESIGN (Trace 360)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n Mass: 122.65 kg\n Factor of Safety: 0.65\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": 122.64863138449613, + "fos_buckling": 0.6481235928497938, + "fos_yielding": 3.0662162071618533, + "deflection": 0.014487742500696295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2491": { + "node_id": "node_2491", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 136.54 kg\n Factor of Safety: 0.71\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.53954363857466, + "fos_buckling": 0.7120871130382116, + "fos_yielding": 3.412881791608356, + "deflection": 0.013035848752248723, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_2490", + "improvement_over_parent": null + }, + "node_2492": { + "node_id": "node_2492", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n\nPerformance:\n Mass: 150.90 kg\n Factor of Safety: 1.08\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": 150.89995294054768, + "fos_buckling": 1.0823324490860375, + "fos_yielding": 3.0600994513403545, + "deflection": 0.01042221524944464, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004378)" + }, + "parent_node_id": "node_2491", + "improvement_over_parent": null + }, + "node_2493": { + "node_id": "node_2493", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n\nPerformance:\n Mass: 182.50 kg\n Factor of Safety: 1.27\n Max Deflection: 8.65e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.50142050005354, + "fos_buckling": 1.2735850048558017, + "fos_yielding": 3.696982715902719, + "deflection": 0.008648346502659264, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_2492", + "improvement_over_parent": null + }, + "node_2494": { + "node_id": "node_2494", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.55 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5504579477355, + "fos_buckling": 1.5255587615718365, + "fos_yielding": 4.602528664981999, + "deflection": 0.006971431128387967, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_2493", + "improvement_over_parent": null + }, + "node_2495": { + "node_id": "node_2495", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2494", + "improvement_over_parent": null + }, + "node_2496": { + "node_id": "node_2496", + "content": "INITIAL DESIGN (Trace 361)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n Mass: 177.09 kg\n Factor of Safety: 0.72\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": 177.08999564322903, + "fos_buckling": 0.7210095508814994, + "fos_yielding": 4.624934133323228, + "deflection": 0.0107190903683762, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2497": { + "node_id": "node_2497", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n Mass: 197.15 kg\n Factor of Safety: 0.79\n Max Deflection: 9.64e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.14689948489863, + "fos_buckling": 0.7918575669153843, + "fos_yielding": 5.145412593729209, + "deflection": 0.009644587198463185, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_2496", + "improvement_over_parent": null + }, + "node_2498": { + "node_id": "node_2498", + "content": "MODIFICATION: Increase 4 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n Mass: 197.98 kg\n Factor of Safety: 0.79\n Max Deflection: 9.61e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.97848890114432, + "fos_buckling": 0.7916850983778052, + "fos_yielding": 5.145412593729209, + "deflection": 0.009609879486244968, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.587)" + }, + "parent_node_id": "node_2497", + "improvement_over_parent": null + }, + "node_2499": { + "node_id": "node_2499", + "content": "MODIFICATION: Increase 9 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 206.02 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.02344189069746, + "fos_buckling": 1.0036968002440423, + "fos_yielding": 5.145412593729209, + "deflection": 0.008712872965278468, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.357)" + }, + "parent_node_id": "node_2498", + "improvement_over_parent": null + }, + "node_2500": { + "node_id": "node_2500", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.68 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.68273816754487, + "fos_buckling": 1.525933990675, + "fos_yielding": 4.605647910154127, + "deflection": 0.006967473636807343, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_2499", + "improvement_over_parent": null + }, + "node_2501": { + "node_id": "node_2501", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2500", + "improvement_over_parent": null + }, + "node_2502": { + "node_id": "node_2502", + "content": "INITIAL DESIGN (Trace 362)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 158.18 kg\n Factor of Safety: 0.87\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": 158.1848948145509, + "fos_buckling": 0.8663199872650398, + "fos_yielding": 4.286195905120275, + "deflection": 0.010976913484011483, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2503": { + "node_id": "node_2503", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 190.19 kg\n Factor of Safety: 1.01\n Max Deflection: 9.17e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.18815611252057, + "fos_buckling": 1.006042224506682, + "fos_yielding": 5.146685532549805, + "deflection": 0.009165032073755738, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_2502", + "improvement_over_parent": null + }, + "node_2504": { + "node_id": "node_2504", + "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 196.02 kg\n Factor of Safety: 1.01\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": 196.01802965083746, + "fos_buckling": 1.005273960199553, + "fos_yielding": 5.146685532549805, + "deflection": 0.008975083144347966, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.393)" + }, + "parent_node_id": "node_2503", + "improvement_over_parent": null + }, + "node_2505": { + "node_id": "node_2505", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 221.14 kg\n Factor of Safety: 1.52\n Max Deflection: 7.25e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 221.1373246283384, + "fos_buckling": 1.5240972664611334, + "fos_yielding": 4.607902638812914, + "deflection": 0.007248124113016986, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_2504", + "improvement_over_parent": null + }, + "node_2506": { + "node_id": "node_2506", + "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.70 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.70040204027336, + "fos_buckling": 1.5262488135042662, + "fos_yielding": 4.605439607198731, + "deflection": 0.006966994286751872, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.337)" + }, + "parent_node_id": "node_2505", + "improvement_over_parent": null + }, + "node_2507": { + "node_id": "node_2507", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2506", + "improvement_over_parent": null + }, + "node_2508": { + "node_id": "node_2508", + "content": "INITIAL DESIGN (Trace 363)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 213.10 kg\n Factor of Safety: 1.42\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": 213.10276541003935, + "fos_buckling": 1.4150718952968755, + "fos_yielding": 4.633286160795472, + "deflection": 0.007339932166707956, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2509": { + "node_id": "node_2509", + "content": "MODIFICATION: Increase 8 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 219.12 kg\n Factor of Safety: 1.48\n Max Deflection: 7.16e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.12345368136315, + "fos_buckling": 1.481854824115625, + "fos_yielding": 4.634590288877373, + "deflection": 0.00715574860030201, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.412)" + }, + "parent_node_id": "node_2508", + "improvement_over_parent": null + }, + "node_2510": { + "node_id": "node_2510", + "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 222.93 kg\n Factor of Safety: 1.48\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.9331146603336, + "fos_buckling": 1.4799646162855002, + "fos_yielding": 4.635102064352193, + "deflection": 0.007072344667421843, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.192)" + }, + "parent_node_id": "node_2509", + "improvement_over_parent": null + }, + "node_2511": { + "node_id": "node_2511", + "content": "MODIFICATION: Increase 9 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.62 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.62239027506754, + "fos_buckling": 1.526022889272244, + "fos_yielding": 4.604173388144179, + "deflection": 0.006969175959220117, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.252)" + }, + "parent_node_id": "node_2510", + "improvement_over_parent": null + }, + "node_2512": { + "node_id": "node_2512", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2511", + "improvement_over_parent": null + }, + "node_2513": { + "node_id": "node_2513", + "content": "INITIAL DESIGN (Trace 364)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 172.41 kg\n Factor of Safety: 0.92\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": 172.40686511755501, + "fos_buckling": 0.9225173878433466, + "fos_yielding": 4.63101563466048, + "deflection": 0.011739426835462873, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2514": { + "node_id": "node_2514", + "content": "MODIFICATION: Increase 7 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 175.42 kg\n Factor of Safety: 0.92\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.42094162583157, + "fos_buckling": 0.9228687024328321, + "fos_yielding": 4.629794227945695, + "deflection": 0.011739399212238367, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.266)" + }, + "parent_node_id": "node_2513", + "improvement_over_parent": null + }, + "node_2515": { + "node_id": "node_2515", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n\nPerformance:\n Mass: 176.86 kg\n Factor of Safety: 0.92\n Max Deflection: 9.69e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.8634035526985, + "fos_buckling": 0.922519079244487, + "fos_yielding": 4.629794227945695, + "deflection": 0.009693682377454157, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002207)" + }, + "parent_node_id": "node_2514", + "improvement_over_parent": null + }, + "node_2516": { + "node_id": "node_2516", + "content": "MODIFICATION: Increase 8 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0113)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n\nPerformance:\n Mass: 191.18 kg\n Factor of Safety: 1.26\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": 191.183088081692, + "fos_buckling": 1.2622772181625885, + "fos_yielding": 4.629794227945694, + "deflection": 0.008699767783497344, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.555)" + }, + "parent_node_id": "node_2515", + "improvement_over_parent": null + }, + "node_2517": { + "node_id": "node_2517", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0127)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n\nPerformance:\n Mass: 212.52 kg\n Factor of Safety: 1.35\n Max Deflection: 7.85e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.5157783948391, + "fos_buckling": 1.3543205815611385, + "fos_yielding": 5.151155866553595, + "deflection": 0.007849023967091466, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_2516", + "improvement_over_parent": null + }, + "node_2518": { + "node_id": "node_2518", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0127)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 234.18 kg\n Factor of Safety: 1.51\n Max Deflection: 6.85e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 234.1750746716865, + "fos_buckling": 1.5114053140587853, + "fos_yielding": 4.748771100207443, + "deflection": 0.0068466292972450835, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_2517", + "improvement_over_parent": null + }, + "node_2519": { + "node_id": "node_2519", + "content": "MODIFICATION: Increase 5 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0124)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0127)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 248.94 kg\n Factor of Safety: 1.66\n Max Deflection: 6.49e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 248.93794475588356, + "fos_buckling": 1.6616969152150163, + "fos_yielding": 4.744458913430294, + "deflection": 0.006485551837076614, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.529)" + }, + "parent_node_id": "node_2518", + "improvement_over_parent": null + }, + "node_2520": { + "node_id": "node_2520", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2519", + "improvement_over_parent": null + }, + "node_2521": { + "node_id": "node_2521", + "content": "INITIAL DESIGN (Trace 365)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 153.99 kg\n Factor of Safety: 0.18\n Max Deflection: 4.19e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.98579537741816, + "fos_buckling": 0.18409927733745907, + "fos_yielding": 2.6654144488570815, + "deflection": 41883895966795.71, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2522": { + "node_id": "node_2522", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n\nPerformance:\n Mass: 183.20 kg\n Factor of Safety: 0.90\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.19781432237983, + "fos_buckling": 0.9026429527204352, + "fos_yielding": 4.593055086722151, + "deflection": 0.011708003138634992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007227)" + }, + "parent_node_id": "node_2521", + "improvement_over_parent": null + }, + "node_2523": { + "node_id": "node_2523", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n\nPerformance:\n Mass: 203.12 kg\n Factor of Safety: 0.92\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": 203.11652366997936, + "fos_buckling": 0.9187757065357847, + "fos_yielding": 4.623819437732138, + "deflection": 0.011737593901009105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006149)" + }, + "parent_node_id": "node_2522", + "improvement_over_parent": null + }, + "node_2524": { + "node_id": "node_2524", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 225.30 kg\n Factor of Safety: 1.00\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": 225.29549857346385, + "fos_buckling": 0.9998940498188962, + "fos_yielding": 5.124093039640714, + "deflection": 0.010597145388972419, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_2523", + "improvement_over_parent": null + }, + "node_2525": { + "node_id": "node_2525", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n Mass: 227.14 kg\n Factor of Safety: 1.50\n Max Deflection: 7.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.14012415678022, + "fos_buckling": 1.5031700157135355, + "fos_yielding": 4.615015862330769, + "deflection": 0.0070423032029890975, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002866)" + }, + "parent_node_id": "node_2524", + "improvement_over_parent": null + }, + "node_2526": { + "node_id": "node_2526", + "content": "MODIFICATION: Increase 5 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0095)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n Mass: 234.38 kg\n Factor of Safety: 1.46\n Max Deflection: 6.93e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.37670655450304, + "fos_buckling": 1.4580562632874463, + "fos_yielding": 4.615892385893133, + "deflection": 0.006931488026886373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.321)" + }, + "parent_node_id": "node_2525", + "improvement_over_parent": null + }, + "node_2527": { + "node_id": "node_2527", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2526", + "improvement_over_parent": null + }, + "node_2528": { + "node_id": "node_2528", + "content": "INITIAL DESIGN (Trace 366)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0032)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 142.07 kg\n Factor of Safety: 0.78\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": 142.07194503040537, + "fos_buckling": 0.7765234621492464, + "fos_yielding": 2.576916457970272, + "deflection": 0.01144182388294139, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2529": { + "node_id": "node_2529", + "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 150.11 kg\n Factor of Safety: 0.90\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": 150.1109388475232, + "fos_buckling": 0.9016437762335909, + "fos_yielding": 2.654447567482749, + "deflection": 0.01056448053875323, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.634)" + }, + "parent_node_id": "node_2528", + "improvement_over_parent": null + }, + "node_2530": { + "node_id": "node_2530", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 193.76 kg\n Factor of Safety: 1.14\n Max Deflection: 8.22e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.75990459037564, + "fos_buckling": 1.1390215597506383, + "fos_yielding": 3.4361472688163874, + "deflection": 0.008223364346489468, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_2529", + "improvement_over_parent": null + }, + "node_2531": { + "node_id": "node_2531", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 226.41 kg\n Factor of Safety: 1.31\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": 226.4075723162034, + "fos_buckling": 1.3092028999688408, + "fos_yielding": 4.024690728357773, + "deflection": 0.0070623313357788915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_2530", + "improvement_over_parent": null + }, + "node_2532": { + "node_id": "node_2532", + "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.51 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.50952743513608, + "fos_buckling": 1.5254071730414205, + "fos_yielding": 4.602054517448228, + "deflection": 0.006972677163055749, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.370)" + }, + "parent_node_id": "node_2531", + "improvement_over_parent": null + }, + "node_2533": { + "node_id": "node_2533", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2532", + "improvement_over_parent": null + }, + "node_2534": { + "node_id": "node_2534", + "content": "INITIAL DESIGN (Trace 367)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n Mass: 139.26 kg\n Factor of Safety: 0.85\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": 139.26276732514546, + "fos_buckling": 0.8514502260569332, + "fos_yielding": 3.0197145426213887, + "deflection": 0.01134639497149043, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2535": { + "node_id": "node_2535", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n Mass: 166.90 kg\n Factor of Safety: 1.00\n Max Deflection: 9.49e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.90475357960565, + "fos_buckling": 1.0023322240925607, + "fos_yielding": 3.6135003633559934, + "deflection": 0.009494815688317828, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_2534", + "improvement_over_parent": null + }, + "node_2536": { + "node_id": "node_2536", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 213.38 kg\n Factor of Safety: 1.24\n Max Deflection: 7.46e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.37925042881042, + "fos_buckling": 1.2426318494139494, + "fos_yielding": 4.607339223435914, + "deflection": 0.007462905686257477, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_2535", + "improvement_over_parent": null + }, + "node_2537": { + "node_id": "node_2537", + "content": "MODIFICATION: Increase 10 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 220.58 kg\n Factor of Safety: 1.45\n Max Deflection: 7.14e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.57877407878595, + "fos_buckling": 1.4514470189882196, + "fos_yielding": 4.656542966653427, + "deflection": 0.007137762412958767, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.309)" + }, + "parent_node_id": "node_2536", + "improvement_over_parent": null + }, + "node_2538": { + "node_id": "node_2538", + "content": "MODIFICATION: Increase 9 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.69 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.68817365089768, + "fos_buckling": 1.5259834499093627, + "fos_yielding": 4.605616642292236, + "deflection": 0.00696730497914189, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.433)" + }, + "parent_node_id": "node_2537", + "improvement_over_parent": null + }, + "node_2539": { + "node_id": "node_2539", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2538", + "improvement_over_parent": null + }, + "node_2540": { + "node_id": "node_2540", + "content": "INITIAL DESIGN (Trace 368)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0034)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n\nPerformance:\n Mass: 106.45 kg\n Factor of Safety: 0.34\n Max Deflection: 2.37e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 106.4543731135643, + "fos_buckling": 0.33782019928924395, + "fos_yielding": 2.643408870105437, + "deflection": 0.023709967557791558, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2541": { + "node_id": "node_2541", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 129.51 kg\n Factor of Safety: 0.40\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.5123553159704, + "fos_buckling": 0.403052997699341, + "fos_yielding": 3.2086835288771933, + "deflection": 0.019516404980015514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_2540", + "improvement_over_parent": null + }, + "node_2542": { + "node_id": "node_2542", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 156.73 kg\n Factor of Safety: 0.84\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": 156.73193357106712, + "fos_buckling": 0.8444957550606091, + "fos_yielding": 3.8475041962900343, + "deflection": 0.012603976774067866, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006649)" + }, + "parent_node_id": "node_2541", + "improvement_over_parent": null + }, + "node_2543": { + "node_id": "node_2543", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n\nPerformance:\n Mass: 175.08 kg\n Factor of Safety: 1.08\n Max Deflection: 9.27e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.07807228738017, + "fos_buckling": 1.0809307581271757, + "fos_yielding": 3.251398862943722, + "deflection": 0.009270064712241354, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005625)" + }, + "parent_node_id": "node_2542", + "improvement_over_parent": null + }, + "node_2544": { + "node_id": "node_2544", + "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0042)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n\nPerformance:\n Mass: 175.73 kg\n Factor of Safety: 1.08\n Max Deflection: 9.18e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.73074507964535, + "fos_buckling": 1.0784680814397407, + "fos_yielding": 3.2439912245532687, + "deflection": 0.009184855361919906, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.366)" + }, + "parent_node_id": "node_2543", + "improvement_over_parent": null + }, + "node_2545": { + "node_id": "node_2545", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0052)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 211.76 kg\n Factor of Safety: 1.27\n Max Deflection: 7.65e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.76054764896463, + "fos_buckling": 1.2741814591634038, + "fos_yielding": 3.9186190795215934, + "deflection": 0.007648841296955012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_2544", + "improvement_over_parent": null + }, + "node_2546": { + "node_id": "node_2546", + "content": "MODIFICATION: Increase 0 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0052)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 222.21 kg\n Factor of Safety: 1.31\n Max Deflection: 7.12e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.21369959389096, + "fos_buckling": 1.3093049519599829, + "fos_yielding": 4.02663790841154, + "deflection": 0.00712462909524374, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.656)" + }, + "parent_node_id": "node_2545", + "improvement_over_parent": null + }, + "node_2547": { + "node_id": "node_2547", + "content": "MODIFICATION: Increase 3 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0050)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0052)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 223.22 kg\n Factor of Safety: 1.45\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.22254772144805, + "fos_buckling": 1.4504525917010687, + "fos_yielding": 4.633900991104705, + "deflection": 0.0070393785975579205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.337)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 369)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 189.65 kg\n Factor of Safety: 1.01\n Max Deflection: 9.55e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.64710297230377, + "fos_buckling": 1.0058950497695884, + "fos_yielding": 5.094128883278057, + "deflection": 0.009554282509566128, + "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: Increase 6 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 195.97 kg\n Factor of Safety: 1.01\n Max Deflection: 9.12e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.9734944539168, + "fos_buckling": 1.0050614713257515, + "fos_yielding": 5.1437712751673565, + "deflection": 0.009123295226283254, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.418)" + }, + "parent_node_id": "node_2549", + "improvement_over_parent": null + }, + "node_2551": { + "node_id": "node_2551", + "content": "MODIFICATION: Increase 6 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.94 kg\n Factor of Safety: 1.00\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.93959448069214, + "fos_buckling": 1.0037511161618062, + "fos_yielding": 5.1437712751673565, + "deflection": 0.008715496920704023, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.488)" + }, + "parent_node_id": "node_2550", + "improvement_over_parent": null + }, + "node_2552": { + "node_id": "node_2552", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.60 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.59889075753955, + "fos_buckling": 1.525961799954919, + "fos_yielding": 4.604215861737081, + "deflection": 0.006970039302218228, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_2551", + "improvement_over_parent": null + }, + "node_2553": { + "node_id": "node_2553", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2552", + "improvement_over_parent": null + }, + "node_2554": { + "node_id": "node_2554", + "content": "INITIAL DESIGN (Trace 370)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 156.27 kg\n Factor of Safety: 0.81\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": 156.26531237668, + "fos_buckling": 0.8147517934011109, + "fos_yielding": 4.019656694292602, + "deflection": 0.013531755669792717, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2555": { + "node_id": "node_2555", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 175.88 kg\n Factor of Safety: 0.81\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": 175.87739312752672, + "fos_buckling": 0.8140286082761966, + "fos_yielding": 4.008176940353976, + "deflection": 0.013531825679952729, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005447)" + }, + "parent_node_id": "node_2554", + "improvement_over_parent": null + }, + "node_2556": { + "node_id": "node_2556", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n\nPerformance:\n Mass: 177.74 kg\n Factor of Safety: 1.25\n Max Deflection: 8.88e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.73941476563968, + "fos_buckling": 1.2455250732760565, + "fos_yielding": 3.601157759397034, + "deflection": 0.008875258838690881, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002895)" + }, + "parent_node_id": "node_2555", + "improvement_over_parent": null + }, + "node_2557": { + "node_id": "node_2557", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.77 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.7694450252762, + "fos_buckling": 1.5267128754046781, + "fos_yielding": 4.606997631700717, + "deflection": 0.006964879229597596, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_2556", + "improvement_over_parent": null + }, + "node_2558": { + "node_id": "node_2558", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2557", + "improvement_over_parent": null + }, + "node_2559": { + "node_id": "node_2559", + "content": "INITIAL DESIGN (Trace 371)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0029)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0021)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0011)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n\nPerformance:\n Mass: 100.12 kg\n Factor of Safety: 0.66\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 100.12403198108537, + "fos_buckling": 0.6573060742499585, + "fos_yielding": 2.0463457901019297, + "deflection": 0.015811032800584223, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2560": { + "node_id": "node_2560", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n Mass: 130.73 kg\n Factor of Safety: 0.85\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": 130.7309879149836, + "fos_buckling": 0.8483479755197653, + "fos_yielding": 2.668935638104662, + "deflection": 0.012148697257242599, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_2559", + "improvement_over_parent": null + }, + "node_2561": { + "node_id": "node_2561", + "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n Mass: 131.13 kg\n Factor of Safety: 0.96\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.13236381717485, + "fos_buckling": 0.9565709132633299, + "fos_yielding": 2.661015010320908, + "deflection": 0.011966216398268724, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.433)" + }, + "parent_node_id": "node_2560", + "improvement_over_parent": null + }, + "node_2562": { + "node_id": "node_2562", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 164.48 kg\n Factor of Safety: 1.17\n Max Deflection: 9.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.48470134359917, + "fos_buckling": 1.1660400259332937, + "fos_yielding": 3.334046035493464, + "deflection": 0.009575931350526645, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_2561", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 194.17 kg\n Factor of Safety: 1.34\n Max Deflection: 8.14e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.1717509841846, + "fos_buckling": 1.3412003207001475, + "fos_yielding": 3.9318346387765453, + "deflection": 0.008139071960403874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_2562", + "improvement_over_parent": null + }, + "node_2564": { + "node_id": "node_2564", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.58 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.58234408021994, + "fos_buckling": 1.5257501748672662, + "fos_yielding": 4.603165745657044, + "deflection": 0.006970330842149814, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_2563", + "improvement_over_parent": null + }, + "node_2565": { + "node_id": "node_2565", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2564", + "improvement_over_parent": null + }, + "node_2566": { + "node_id": "node_2566", + "content": "INITIAL DESIGN (Trace 372)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n\nPerformance:\n Mass: 66.93 kg\n Factor of Safety: 0.63\n Max Deflection: 1.18e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 66.93276017346409, + "fos_buckling": 0.6271697770988474, + "fos_yielding": 1.6009470335903813, + "deflection": 117507859080282.0, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2567": { + "node_id": "node_2567", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0022)]\n\nPerformance:\n Mass: 74.42 kg\n Factor of Safety: 0.23\n Max Deflection: 3.88e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 74.41756608108295, + "fos_buckling": 0.23240951528432302, + "fos_yielding": 1.7767938272313397, + "deflection": 0.03878328996437293, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.002220)" + }, + "parent_node_id": "node_2566", + "improvement_over_parent": null + }, + "node_2568": { + "node_id": "node_2568", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0022)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n\nPerformance:\n Mass: 89.82 kg\n Factor of Safety: 0.23\n Max Deflection: 2.77e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 89.81884349749063, + "fos_buckling": 0.23193427045714676, + "fos_yielding": 1.8406095852379012, + "deflection": 0.02772533167314501, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.003665)" + }, + "parent_node_id": "node_2567", + "improvement_over_parent": null + }, + "node_2569": { + "node_id": "node_2569", + "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0022)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n\nPerformance:\n Mass: 90.59 kg\n Factor of Safety: 0.23\n Max Deflection: 2.76e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 90.587182105568, + "fos_buckling": 0.23193427045714665, + "fos_yielding": 1.8406095852379012, + "deflection": 0.027583486665765995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.391)" + }, + "parent_node_id": "node_2568", + "improvement_over_parent": null + }, + "node_2570": { + "node_id": "node_2570", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0028)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n\nPerformance:\n Mass: 114.61 kg\n Factor of Safety: 0.29\n Max Deflection: 2.18e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 114.60707392837459, + "fos_buckling": 0.2890412837863725, + "fos_yielding": 2.3257356888109806, + "deflection": 0.021841464441179757, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_2569", + "improvement_over_parent": null + }, + "node_2571": { + "node_id": "node_2571", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0055)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n\nPerformance:\n Mass: 149.90 kg\n Factor of Safety: 0.37\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.90447425029134, + "fos_buckling": 0.36964236452582333, + "fos_yielding": 3.0363849707970556, + "deflection": 0.016741206859562967, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.330)" + }, + "parent_node_id": "node_2570", + "improvement_over_parent": null + }, + "node_2572": { + "node_id": "node_2572", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0055)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 175.67 kg\n Factor of Safety: 1.17\n Max Deflection: 8.91e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.67171907372213, + "fos_buckling": 1.173605801736124, + "fos_yielding": 3.660768800789161, + "deflection": 0.008909423931559152, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006268)" + }, + "parent_node_id": "node_2571", + "improvement_over_parent": null + }, + "node_2573": { + "node_id": "node_2573", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0071)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 223.56 kg\n Factor of Safety: 1.45\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.5619763942419, + "fos_buckling": 1.4480634634693734, + "fos_yielding": 4.649966924436677, + "deflection": 0.007039020691401262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_2572", + "improvement_over_parent": null + }, + "node_2574": { + "node_id": "node_2574", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2573", + "improvement_over_parent": null + }, + "node_2575": { + "node_id": "node_2575", + "content": "INITIAL DESIGN (Trace 373)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0024)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n Mass: 154.88 kg\n Factor of Safety: 0.84\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": 154.8766430580163, + "fos_buckling": 0.8394901783804222, + "fos_yielding": 2.137149649029448, + "deflection": 0.010304053880031798, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2576": { + "node_id": "node_2576", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 201.32 kg\n Factor of Safety: 1.07\n Max Deflection: 7.97e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.31870507602255, + "fos_buckling": 1.0712282534954816, + "fos_yielding": 2.792105830039081, + "deflection": 0.007965663055995076, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_2575", + "improvement_over_parent": null + }, + "node_2577": { + "node_id": "node_2577", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 226.06 kg\n Factor of Safety: 1.19\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": 226.06492115918203, + "fos_buckling": 1.1908945942673457, + "fos_yielding": 3.144436692540061, + "deflection": 0.00711197083632658, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_2576", + "improvement_over_parent": null + }, + "node_2578": { + "node_id": "node_2578", + "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 226.65 kg\n Factor of Safety: 1.36\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.6454348333506, + "fos_buckling": 1.3612246776481596, + "fos_yielding": 3.666287883012662, + "deflection": 0.007047031278780333, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.183)" + }, + "parent_node_id": "node_2577", + "improvement_over_parent": null + }, + "node_2579": { + "node_id": "node_2579", + "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.69 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.68749532203037, + "fos_buckling": 1.5262198202805382, + "fos_yielding": 4.602928511644513, + "deflection": 0.00696740722863925, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.287)" + }, + "parent_node_id": "node_2578", + "improvement_over_parent": null + }, + "node_2580": { + "node_id": "node_2580", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2579", + "improvement_over_parent": null + }, + "node_2581": { + "node_id": "node_2581", + "content": "INITIAL DESIGN (Trace 374)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 137.83 kg\n Factor of Safety: 0.74\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.829322044666, + "fos_buckling": 0.7412191012945513, + "fos_yielding": 2.628965349395286, + "deflection": 0.012686564586758771, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2582": { + "node_id": "node_2582", + "content": "MODIFICATION: Increase 7 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 141.47 kg\n Factor of Safety: 0.74\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": 141.47224630609196, + "fos_buckling": 0.7408629789685137, + "fos_yielding": 2.628965349395286, + "deflection": 0.012507906336740005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.274)" + }, + "parent_node_id": "node_2581", + "improvement_over_parent": null + }, + "node_2583": { + "node_id": "node_2583", + "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 142.39 kg\n Factor of Safety: 0.74\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.39346741892632, + "fos_buckling": 0.7408629789685137, + "fos_yielding": 3.5716849988605004, + "deflection": 0.012507906336740003, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.381)" + }, + "parent_node_id": "node_2582", + "improvement_over_parent": null + }, + "node_2584": { + "node_id": "node_2584", + "content": "MODIFICATION: Increase 4 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 142.90 kg\n Factor of Safety: 0.74\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.89971557346692, + "fos_buckling": 0.7407640608586596, + "fos_yielding": 3.5716849988605004, + "deflection": 0.012465092065413554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.468)" + }, + "parent_node_id": "node_2583", + "improvement_over_parent": null + }, + "node_2585": { + "node_id": "node_2585", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n\nPerformance:\n Mass: 157.93 kg\n Factor of Safety: 1.13\n Max Deflection: 9.97e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.92660297768413, + "fos_buckling": 1.125930310044597, + "fos_yielding": 3.201993547597876, + "deflection": 0.009966170105342911, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004594)" + }, + "parent_node_id": "node_2584", + "improvement_over_parent": null + }, + "node_2586": { + "node_id": "node_2586", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n\nPerformance:\n Mass: 202.93 kg\n Factor of Safety: 1.39\n Max Deflection: 7.80e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.92575875688783, + "fos_buckling": 1.3908520871585492, + "fos_yielding": 4.108087510278551, + "deflection": 0.007795620390009059, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_2585", + "improvement_over_parent": null + }, + "node_2587": { + "node_id": "node_2587", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.67 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6715571484432, + "fos_buckling": 1.5262398757549842, + "fos_yielding": 4.605187327011541, + "deflection": 0.006967652864666122, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_2586", + "improvement_over_parent": null + }, + "node_2588": { + "node_id": "node_2588", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2587", + "improvement_over_parent": null + }, + "node_2589": { + "node_id": "node_2589", + "content": "INITIAL DESIGN (Trace 375)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 139.54 kg\n Factor of Safety: 0.50\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": 139.54224206531015, + "fos_buckling": 0.49859420658536163, + "fos_yielding": 3.1183651091250213, + "deflection": 0.016892592127377842, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2590": { + "node_id": "node_2590", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n Mass: 160.09 kg\n Factor of Safety: 0.82\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": 160.08993077310208, + "fos_buckling": 0.8241603039226432, + "fos_yielding": 3.670021630251391, + "deflection": 0.011213453228381987, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.004926)" + }, + "parent_node_id": "node_2589", + "improvement_over_parent": null + }, + "node_2591": { + "node_id": "node_2591", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n\nPerformance:\n Mass: 177.93 kg\n Factor of Safety: 1.09\n Max Deflection: 8.95e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.93303726557136, + "fos_buckling": 1.0902598675112867, + "fos_yielding": 3.6826299539773952, + "deflection": 0.008950683232919808, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005459)" + }, + "parent_node_id": "node_2590", + "improvement_over_parent": null + }, + "node_2592": { + "node_id": "node_2592", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 220.35 kg\n Factor of Safety: 1.31\n Max Deflection: 7.26e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.35027090550798, + "fos_buckling": 1.3129689448275594, + "fos_yielding": 4.552255183155163, + "deflection": 0.007260186162776121, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_2591", + "improvement_over_parent": null + }, + "node_2593": { + "node_id": "node_2593", + "content": "MODIFICATION: Increase 10 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0090)]\n\nPerformance:\n Mass: 226.40 kg\n Factor of Safety: 1.31\n Max Deflection: 7.16e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.40028125157946, + "fos_buckling": 1.310477063049629, + "fos_yielding": 4.552776092985849, + "deflection": 0.007159330896845468, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.311)" + }, + "parent_node_id": "node_2592", + "improvement_over_parent": null + }, + "node_2594": { + "node_id": "node_2594", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2593", + "improvement_over_parent": null + }, + "node_2595": { + "node_id": "node_2595", + "content": "INITIAL DESIGN (Trace 376)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0035)]\n\nPerformance:\n Mass: 105.87 kg\n Factor of Safety: 0.60\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": 105.87022859283732, + "fos_buckling": 0.6013327444512249, + "fos_yielding": 2.567810604749778, + "deflection": 0.016586695787111465, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2596": { + "node_id": "node_2596", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n Mass: 131.40 kg\n Factor of Safety: 0.73\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": 131.3971901973193, + "fos_buckling": 0.7264864617233844, + "fos_yielding": 3.1813073965987764, + "deflection": 0.013407087622373004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_2595", + "improvement_over_parent": null + }, + "node_2597": { + "node_id": "node_2597", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n Mass: 151.57 kg\n Factor of Safety: 0.82\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": 151.56530306382928, + "fos_buckling": 0.8200497383300297, + "fos_yielding": 3.664364970243374, + "deflection": 0.011652414879038894, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_2596", + "improvement_over_parent": null + }, + "node_2598": { + "node_id": "node_2598", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 189.40 kg\n Factor of Safety: 0.98\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": 189.39975850728854, + "fos_buckling": 0.9830849388639821, + "fos_yielding": 4.566472614002428, + "deflection": 0.009368942053073943, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_2597", + "improvement_over_parent": null + }, + "node_2599": { + "node_id": "node_2599", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 211.49 kg\n Factor of Safety: 1.32\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": 211.49090663594885, + "fos_buckling": 1.3159761402416523, + "fos_yielding": 4.58049107720876, + "deflection": 0.007532491946629925, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_2598", + "improvement_over_parent": null + }, + "node_2600": { + "node_id": "node_2600", + "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 215.39 kg\n Factor of Safety: 1.28\n Max Deflection: 7.38e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.39408506867474, + "fos_buckling": 1.280127927889946, + "fos_yielding": 4.604123150264469, + "deflection": 0.00737863308794945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.176)" + }, + "parent_node_id": "node_2599", + "improvement_over_parent": null + }, + "node_2601": { + "node_id": "node_2601", + "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0087)]\n\nPerformance:\n Mass: 220.65 kg\n Factor of Safety: 1.28\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.6510171274656, + "fos_buckling": 1.2781285926395962, + "fos_yielding": 4.604581227651619, + "deflection": 0.007288510560704575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.269)" + }, + "parent_node_id": "node_2600", + "improvement_over_parent": null + }, + "node_2602": { + "node_id": "node_2602", + "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0086)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0087)]\n\nPerformance:\n Mass: 228.69 kg\n Factor of Safety: 1.51\n Max Deflection: 6.95e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 228.6928477231222, + "fos_buckling": 1.5079254468477479, + "fos_yielding": 4.656890555855348, + "deflection": 0.0069544029903372126, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.337)" + }, + "parent_node_id": "node_2601", + "improvement_over_parent": null + }, + "node_2603": { + "node_id": "node_2603", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2602", + "improvement_over_parent": null + }, + "node_2604": { + "node_id": "node_2604", + "content": "INITIAL DESIGN (Trace 377)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 162.96 kg\n Factor of Safety: 0.91\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": 162.96162545923656, + "fos_buckling": 0.9060158625291691, + "fos_yielding": 4.648399911359206, + "deflection": 0.011831424989256595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2605": { + "node_id": "node_2605", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n Mass: 185.65 kg\n Factor of Safety: 0.90\n Max Deflection: 9.74e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.64894075875736, + "fos_buckling": 0.9033199505483311, + "fos_yielding": 4.146233828848944, + "deflection": 0.009741670827373657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006375)" + }, + "parent_node_id": "node_2604", + "improvement_over_parent": null + }, + "node_2606": { + "node_id": "node_2606", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n\nPerformance:\n Mass: 198.07 kg\n Factor of Safety: 1.20\n Max Deflection: 7.96e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.06927423952826, + "fos_buckling": 1.1962074458458716, + "fos_yielding": 4.159955208333399, + "deflection": 0.007962764341878172, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003716)" + }, + "parent_node_id": "node_2605", + "improvement_over_parent": null + }, + "node_2607": { + "node_id": "node_2607", + "content": "MODIFICATION: Increase 2 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0101)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n\nPerformance:\n Mass: 209.22 kg\n Factor of Safety: 1.20\n Max Deflection: 7.77e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.22308125510617, + "fos_buckling": 1.1986940781113475, + "fos_yielding": 4.112220498690396, + "deflection": 0.007772156743522254, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.658)" + }, + "parent_node_id": "node_2606", + "improvement_over_parent": null + }, + "node_2608": { + "node_id": "node_2608", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0113)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n\nPerformance:\n Mass: 231.31 kg\n Factor of Safety: 1.31\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": 231.3109198804675, + "fos_buckling": 1.3114345102626719, + "fos_yielding": 4.546901078314085, + "deflection": 0.0070420729336981075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_2607", + "improvement_over_parent": null + }, + "node_2609": { + "node_id": "node_2609", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2608", + "improvement_over_parent": null + }, + "node_2610": { + "node_id": "node_2610", + "content": "INITIAL DESIGN (Trace 378)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\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_2611": { + "node_id": "node_2611", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 205.97 kg\n Factor of Safety: 1.00\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": 205.97188222241053, + "fos_buckling": 1.003746876482228, + "fos_yielding": 5.143770618251928, + "deflection": 0.008714548761923006, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_2610", + "improvement_over_parent": null + }, + "node_2612": { + "node_id": "node_2612", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63117849925794, + "fos_buckling": 1.5259805252727332, + "fos_yielding": 4.604198403842038, + "deflection": 0.006969005084043683, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_2611", + "improvement_over_parent": null + }, + "node_2613": { + "node_id": "node_2613", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2612", + "improvement_over_parent": null + }, + "node_2614": { + "node_id": "node_2614", + "content": "INITIAL DESIGN (Trace 379)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0016)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n\nPerformance:\n Mass: 81.31 kg\n Factor of Safety: 0.22\n Max Deflection: 8.41e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 81.31253236337248, + "fos_buckling": 0.22054861754607297, + "fos_yielding": 2.305160251582715, + "deflection": 84103042679754.8, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2615": { + "node_id": "node_2615", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0022)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n\nPerformance:\n Mass: 106.20 kg\n Factor of Safety: 0.34\n Max Deflection: 3.48e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 106.19839673511984, + "fos_buckling": 0.3359876084516976, + "fos_yielding": 1.8274376702109523, + "deflection": 34832758781810.445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_2614", + "improvement_over_parent": null + }, + "node_2616": { + "node_id": "node_2616", + "content": "MODIFICATION: Increase 4 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n\nPerformance:\n Mass: 107.01 kg\n Factor of Safety: 0.34\n Max Deflection: 1.98e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.00748165901467, + "fos_buckling": 0.3359876084516976, + "fos_yielding": 1.8274376702109523, + "deflection": 19812901483281.863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.437)" + }, + "parent_node_id": "node_2615", + "improvement_over_parent": null + }, + "node_2617": { + "node_id": "node_2617", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n\nPerformance:\n Mass: 134.92 kg\n Factor of Safety: 0.66\n Max Deflection: 1.19e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.9191734478648, + "fos_buckling": 0.656111470594404, + "fos_yielding": 3.6548753404219045, + "deflection": 11899664531553.52, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_2616", + "improvement_over_parent": null + }, + "node_2618": { + "node_id": "node_2618", + "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n\nPerformance:\n Mass: 135.20 kg\n Factor of Safety: 0.86\n Max Deflection: 4.66e+13 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.19820669515417, + "fos_buckling": 0.8614037039526519, + "fos_yielding": 4.100269493859477, + "deflection": 46551676375504.61, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.185)" + }, + "parent_node_id": "node_2617", + "improvement_over_parent": null + }, + "node_2619": { + "node_id": "node_2619", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 161.31 kg\n Factor of Safety: 0.83\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.30970023300185, + "fos_buckling": 0.8336563447470722, + "fos_yielding": 4.100269493859477, + "deflection": 0.010882374280339172, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006358)" + }, + "parent_node_id": "node_2618", + "improvement_over_parent": null + }, + "node_2620": { + "node_id": "node_2620", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 181.32 kg\n Factor of Safety: 1.27\n Max Deflection: 8.70e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.32045632359862, + "fos_buckling": 1.2667305536975972, + "fos_yielding": 3.673075385202571, + "deflection": 0.008703535113043611, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005566)" + }, + "parent_node_id": "node_2619", + "improvement_over_parent": null + }, + "node_2621": { + "node_id": "node_2621", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.57 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.56626887626777, + "fos_buckling": 1.525725902323557, + "fos_yielding": 4.602684954615358, + "deflection": 0.006970974107042418, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_2620", + "improvement_over_parent": null + }, + "node_2622": { + "node_id": "node_2622", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2621", + "improvement_over_parent": null + }, + "node_2623": { + "node_id": "node_2623", + "content": "INITIAL DESIGN (Trace 380)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0027)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0024)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0019)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0018)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0010)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0019)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0028)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0025)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0028)]\n\nPerformance:\n Mass: 81.35 kg\n Factor of Safety: 0.58\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 81.35277063513297, + "fos_buckling": 0.5834682688675635, + "fos_yielding": 1.7021562961503123, + "deflection": 0.019287720599977878, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2624": { + "node_id": "node_2624", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0032)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0023)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0021)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0012)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n\nPerformance:\n Mass: 97.76 kg\n Factor of Safety: 0.70\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 97.75889071841662, + "fos_buckling": 0.6963030593923502, + "fos_yielding": 2.044012484434434, + "deflection": 0.016079600222609326, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_2623", + "improvement_over_parent": null + }, + "node_2625": { + "node_id": "node_2625", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0030)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n Mass: 128.04 kg\n Factor of Safety: 0.90\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": 128.04435832242095, + "fos_buckling": 0.9002614054322284, + "fos_yielding": 2.6738046732673295, + "deflection": 0.012316950172480863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_2624", + "improvement_over_parent": null + }, + "node_2626": { + "node_id": "node_2626", + "content": "MODIFICATION: Increase 3 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n Mass: 130.34 kg\n Factor of Safety: 0.88\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.34375209852723, + "fos_buckling": 0.8768278304182721, + "fos_yielding": 2.65882086187046, + "deflection": 0.012162521407658333, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.238)" + }, + "parent_node_id": "node_2625", + "improvement_over_parent": null + }, + "node_2627": { + "node_id": "node_2627", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 149.42 kg\n Factor of Safety: 1.00\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.4249770132341, + "fos_buckling": 0.9971776394174607, + "fos_yielding": 3.045959400122028, + "deflection": 0.010631020108811865, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_2626", + "improvement_over_parent": null + }, + "node_2628": { + "node_id": "node_2628", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 187.45 kg\n Factor of Safety: 1.23\n Max Deflection: 8.51e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.44875023922117, + "fos_buckling": 1.2307622630152415, + "fos_yielding": 3.8158295469113934, + "deflection": 0.008508827272754026, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_2627", + "improvement_over_parent": null + }, + "node_2629": { + "node_id": "node_2629", + "content": "MODIFICATION: Increase 5 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 187.95 kg\n Factor of Safety: 1.31\n Max Deflection: 8.40e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.95003691853216, + "fos_buckling": 1.3053687702268426, + "fos_yielding": 3.8063928597900585, + "deflection": 0.00840309472819453, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.368)" + }, + "parent_node_id": "node_2628", + "improvement_over_parent": null + }, + "node_2630": { + "node_id": "node_2630", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.82 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.82458210025007, + "fos_buckling": 1.5270470099754825, + "fos_yielding": 4.607719265757965, + "deflection": 0.006963501325764683, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_2629", + "improvement_over_parent": null + }, + "node_2631": { + "node_id": "node_2631", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2630", + "improvement_over_parent": null + }, + "node_2632": { + "node_id": "node_2632", + "content": "INITIAL DESIGN (Trace 381)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 115.81 kg\n Factor of Safety: 0.70\n Max Deflection: 7.26e+11 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.81321487723727, + "fos_buckling": 0.6969264967778611, + "fos_yielding": 2.227563592004651, + "deflection": 726026818095.1189, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2633": { + "node_id": "node_2633", + "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 116.93 kg\n Factor of Safety: 0.70\n Max Deflection: 7.26e+11 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.93095776375057, + "fos_buckling": 0.6969264967778611, + "fos_yielding": 3.366218959714239, + "deflection": 726026818095.1178, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.541)" + }, + "parent_node_id": "node_2632", + "improvement_over_parent": null + }, + "node_2634": { + "node_id": "node_2634", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n\nPerformance:\n Mass: 133.76 kg\n Factor of Safety: 0.70\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.75991343711996, + "fos_buckling": 0.7035138481843589, + "fos_yielding": 3.38195417161263, + "deflection": 0.016022056771373965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004576)" + }, + "parent_node_id": "node_2633", + "improvement_over_parent": null + }, + "node_2635": { + "node_id": "node_2635", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n\nPerformance:\n Mass: 156.49 kg\n Factor of Safety: 0.81\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.49386681929994, + "fos_buckling": 0.8077129356322048, + "fos_yielding": 3.9555977464788397, + "deflection": 0.013712186098429857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_2634", + "improvement_over_parent": null + }, + "node_2636": { + "node_id": "node_2636", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n\nPerformance:\n Mass: 173.14 kg\n Factor of Safety: 0.80\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.14237877128818, + "fos_buckling": 0.8032202103968987, + "fos_yielding": 3.945552760682508, + "deflection": 0.013742843623918043, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005125)" + }, + "parent_node_id": "node_2635", + "improvement_over_parent": null + }, + "node_2637": { + "node_id": "node_2637", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 225.20 kg\n Factor of Safety: 1.00\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.20087898173895, + "fos_buckling": 0.9995732920973984, + "fos_yielding": 5.12103874965321, + "deflection": 0.010601319450201173, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.330)" + }, + "parent_node_id": "node_2636", + "improvement_over_parent": null + }, + "node_2638": { + "node_id": "node_2638", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.59 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5855612933251, + "fos_buckling": 1.5257235240157094, + "fos_yielding": 4.602477280146337, + "deflection": 0.00697032135987875, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_2637", + "improvement_over_parent": null + }, + "node_2639": { + "node_id": "node_2639", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2638", + "improvement_over_parent": null + }, + "node_2640": { + "node_id": "node_2640", + "content": "INITIAL DESIGN (Trace 382)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0022)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0018)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0022)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0035)]\n\nPerformance:\n Mass: 94.34 kg\n Factor of Safety: 0.65\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 94.34046134358617, + "fos_buckling": 0.6537362847752648, + "fos_yielding": 2.094041122312127, + "deflection": 0.01675724267117208, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2641": { + "node_id": "node_2641", + "content": "MODIFICATION: Increase 3 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0022)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0029)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0022)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0034)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0035)]\n\nPerformance:\n Mass: 97.77 kg\n Factor of Safety: 0.74\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 97.77481200119287, + "fos_buckling": 0.7424855416101485, + "fos_yielding": 2.0673638772444827, + "deflection": 0.016292199639812686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.570)" + }, + "parent_node_id": "node_2640", + "improvement_over_parent": null + }, + "node_2642": { + "node_id": "node_2642", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0042)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0042)]\n\nPerformance:\n Mass: 117.61 kg\n Factor of Safety: 0.88\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": 117.60815836363477, + "fos_buckling": 0.8779400609223806, + "fos_yielding": 2.484446668444446, + "deflection": 0.013572640075302737, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_2641", + "improvement_over_parent": null + }, + "node_2643": { + "node_id": "node_2643", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n Mass: 148.38 kg\n Factor of Safety: 1.08\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.37586807924413, + "fos_buckling": 1.0781872970220734, + "fos_yielding": 3.129915726577669, + "deflection": 0.01079240559566605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_2642", + "improvement_over_parent": null + }, + "node_2644": { + "node_id": "node_2644", + "content": "MODIFICATION: Increase 0 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n Mass: 154.27 kg\n Factor of Safety: 1.10\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.2653825134215, + "fos_buckling": 1.1033115260771156, + "fos_yielding": 3.127729454068623, + "deflection": 0.010198945302092465, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.479)" + }, + "parent_node_id": "node_2643", + "improvement_over_parent": null + }, + "node_2645": { + "node_id": "node_2645", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 193.13 kg\n Factor of Safety: 1.34\n Max Deflection: 8.18e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.1330279399597, + "fos_buckling": 1.3352786841836024, + "fos_yielding": 3.910620532647284, + "deflection": 0.00818223845659414, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_2644", + "improvement_over_parent": null + }, + "node_2646": { + "node_id": "node_2646", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.60 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.59693833788074, + "fos_buckling": 1.525863721295068, + "fos_yielding": 4.603089366436808, + "deflection": 0.0069701865324388315, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_2645", + "improvement_over_parent": null + }, + "node_2647": { + "node_id": "node_2647", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2646", + "improvement_over_parent": null + }, + "node_2648": { + "node_id": "node_2648", + "content": "INITIAL DESIGN (Trace 383)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n Mass: 148.28 kg\n Factor of Safety: 0.54\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.28418247378315, + "fos_buckling": 0.5412650757213824, + "fos_yielding": 3.436541803840465, + "deflection": 0.016142519701900976, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2649": { + "node_id": "node_2649", + "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n Mass: 153.48 kg\n Factor of Safety: 0.54\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.4755617977003, + "fos_buckling": 0.5408949637332461, + "fos_yielding": 3.435956900202981, + "deflection": 0.015462859374751716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.238)" + }, + "parent_node_id": "node_2648", + "improvement_over_parent": null + }, + "node_2650": { + "node_id": "node_2650", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 172.34 kg\n Factor of Safety: 0.59\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.3356843807443, + "fos_buckling": 0.5941841540190174, + "fos_yielding": 3.8543795690094216, + "deflection": 0.013799288437950828, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_2649", + "improvement_over_parent": null + }, + "node_2651": { + "node_id": "node_2651", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.11 kg\n Factor of Safety: 0.98\n Max Deflection: 8.83e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.1132791236298, + "fos_buckling": 0.9806185029876504, + "fos_yielding": 4.591022788424571, + "deflection": 0.00883323117084532, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_2650", + "improvement_over_parent": null + }, + "node_2652": { + "node_id": "node_2652", + "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.54 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.54390073901402, + "fos_buckling": 0.9805080138555634, + "fos_yielding": 4.587256808478163, + "deflection": 0.008819762768870035, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.242)" + }, + "parent_node_id": "node_2651", + "improvement_over_parent": null + }, + "node_2653": { + "node_id": "node_2653", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63504886767433, + "fos_buckling": 1.5259807703222446, + "fos_yielding": 4.6042542385535254, + "deflection": 0.0069689137718530235, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_2652", + "improvement_over_parent": null + }, + "node_2654": { + "node_id": "node_2654", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2653", + "improvement_over_parent": null + }, + "node_2655": { + "node_id": "node_2655", + "content": "INITIAL DESIGN (Trace 384)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0040)]\n\nPerformance:\n Mass: 100.88 kg\n Factor of Safety: 0.44\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": 100.87913119837536, + "fos_buckling": 0.4351599346472072, + "fos_yielding": 2.81564059636951, + "deflection": 0.023303155650322673, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2656": { + "node_id": "node_2656", + "content": "MODIFICATION: Increase 8 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 105.77 kg\n Factor of Safety: 0.43\n Max Deflection: 2.21e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 105.77201175504979, + "fos_buckling": 0.4348777880813696, + "fos_yielding": 2.8150637627443373, + "deflection": 0.022087666160868623, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.311)" + }, + "parent_node_id": "node_2655", + "improvement_over_parent": null + }, + "node_2657": { + "node_id": "node_2657", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 131.32 kg\n Factor of Safety: 0.52\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.31608794399796, + "fos_buckling": 0.5233791578980039, + "fos_yielding": 3.4868036342279383, + "deflection": 0.017832734552093596, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_2656", + "improvement_over_parent": null + }, + "node_2658": { + "node_id": "node_2658", + "content": "MODIFICATION: Increase 1 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 138.75 kg\n Factor of Safety: 0.52\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.74634189313718, + "fos_buckling": 0.5228659995330847, + "fos_yielding": 3.485721050037885, + "deflection": 0.016379647495047132, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.511)" + }, + "parent_node_id": "node_2657", + "improvement_over_parent": null + }, + "node_2659": { + "node_id": "node_2659", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n\nPerformance:\n Mass: 159.23 kg\n Factor of Safety: 0.52\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.22782932291182, + "fos_buckling": 0.5214566748586422, + "fos_yielding": 3.4827403853090706, + "deflection": 0.014535084542601714, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005707)" + }, + "parent_node_id": "node_2658", + "improvement_over_parent": null + }, + "node_2660": { + "node_id": "node_2660", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n\nPerformance:\n Mass: 185.64 kg\n Factor of Safety: 1.29\n Max Deflection: 8.50e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.6418995493687, + "fos_buckling": 1.2917292042810782, + "fos_yielding": 3.7599403036241745, + "deflection": 0.0085048469329647, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006481)" + }, + "parent_node_id": "node_2659", + "improvement_over_parent": null + }, + "node_2661": { + "node_id": "node_2661", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.57 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.57125795620675, + "fos_buckling": 1.5254269581060445, + "fos_yielding": 4.60263545603416, + "deflection": 0.006970644120699052, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_2660", + "improvement_over_parent": null + }, + "node_2662": { + "node_id": "node_2662", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2661", + "improvement_over_parent": null + }, + "node_2663": { + "node_id": "node_2663", + "content": "INITIAL DESIGN (Trace 385)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0040)]\n\nPerformance:\n Mass: 101.63 kg\n Factor of Safety: 0.55\n Max Deflection: 2.07e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 101.6298603533933, + "fos_buckling": 0.5506695716166375, + "fos_yielding": 2.6100600319737404, + "deflection": 0.02067466440286806, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2664": { + "node_id": "node_2664", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 131.11 kg\n Factor of Safety: 0.69\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.10756964894293, + "fos_buckling": 0.6904420648095438, + "fos_yielding": 3.3613500129329053, + "deflection": 0.016060768677117792, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_2663", + "improvement_over_parent": null + }, + "node_2665": { + "node_id": "node_2665", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n\nPerformance:\n Mass: 147.93 kg\n Factor of Safety: 0.70\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.93305341427674, + "fos_buckling": 0.7006765754218568, + "fos_yielding": 3.375111918305196, + "deflection": 0.016059381132170782, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004575)" + }, + "parent_node_id": "node_2664", + "improvement_over_parent": null + }, + "node_2666": { + "node_id": "node_2666", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n\nPerformance:\n Mass: 178.94 kg\n Factor of Safety: 0.83\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.93713295122308, + "fos_buckling": 0.8260638363456305, + "fos_yielding": 4.077328128682106, + "deflection": 0.013303283280722394, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_2665", + "improvement_over_parent": null + }, + "node_2667": { + "node_id": "node_2667", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n\nPerformance:\n Mass: 203.31 kg\n Factor of Safety: 0.92\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.3099604429648, + "fos_buckling": 0.9194797428898054, + "fos_yielding": 4.628110528114182, + "deflection": 0.011726803912639, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_2666", + "improvement_over_parent": null + }, + "node_2668": { + "node_id": "node_2668", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n Mass: 205.47 kg\n Factor of Safety: 1.41\n Max Deflection: 7.70e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.46557849324955, + "fos_buckling": 1.405080256683301, + "fos_yielding": 4.158820890185094, + "deflection": 0.007701352670451586, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003391)" + }, + "parent_node_id": "node_2667", + "improvement_over_parent": null + }, + "node_2669": { + "node_id": "node_2669", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.34 kg\n Factor of Safety: 1.52\n Max Deflection: 6.98e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.34351429509516, + "fos_buckling": 1.5244918353110632, + "fos_yielding": 4.598246855657211, + "deflection": 0.006977357974960917, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_2668", + "improvement_over_parent": null + }, + "node_2670": { + "node_id": "node_2670", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2669", + "improvement_over_parent": null + }, + "node_2671": { + "node_id": "node_2671", + "content": "INITIAL DESIGN (Trace 386)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0058)]\n\nPerformance:\n Mass: 158.64 kg\n Factor of Safety: 0.77\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": 158.64477372643123, + "fos_buckling": 0.7663705515806368, + "fos_yielding": 3.740381332985022, + "deflection": 0.01450706182951934, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2672": { + "node_id": "node_2672", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 179.89 kg\n Factor of Safety: 0.85\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": 179.89088760811632, + "fos_buckling": 0.8531280782510452, + "fos_yielding": 4.236987192737944, + "deflection": 0.012814726178450982, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_2671", + "improvement_over_parent": null + }, + "node_2673": { + "node_id": "node_2673", + "content": "MODIFICATION: Increase 8 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 185.84 kg\n Factor of Safety: 0.85\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": 185.83500618572003, + "fos_buckling": 0.8529848117889317, + "fos_yielding": 4.2334606461001085, + "deflection": 0.012814738722023338, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.433)" + }, + "parent_node_id": "node_2672", + "improvement_over_parent": null + }, + "node_2674": { + "node_id": "node_2674", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n\nPerformance:\n Mass: 187.80 kg\n Factor of Safety: 1.30\n Max Deflection: 8.41e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.8020585084338, + "fos_buckling": 1.3044614092449642, + "fos_yielding": 3.803828457183741, + "deflection": 0.008409250508542049, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003071)" + }, + "parent_node_id": "node_2673", + "improvement_over_parent": null + }, + "node_2675": { + "node_id": "node_2675", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.65 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.64877360825733, + "fos_buckling": 1.5260493138532067, + "fos_yielding": 4.604682951040249, + "deflection": 0.006968478613981265, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_2674", + "improvement_over_parent": null + }, + "node_2676": { + "node_id": "node_2676", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2675", + "improvement_over_parent": null + }, + "node_2677": { + "node_id": "node_2677", + "content": "INITIAL DESIGN (Trace 387)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 200.23 kg\n Factor of Safety: 1.00\n Max Deflection: 8.86e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.2292070491969, + "fos_buckling": 1.0045461591024893, + "fos_yielding": 5.1437712751673565, + "deflection": 0.00885552310779858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2678": { + "node_id": "node_2678", + "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.64 kg\n Factor of Safety: 1.00\n Max Deflection: 8.73e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.6425767204628, + "fos_buckling": 1.0038347082446968, + "fos_yielding": 5.143771275167357, + "deflection": 0.008725127934716338, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.294)" + }, + "parent_node_id": "node_2677", + "improvement_over_parent": null + }, + "node_2679": { + "node_id": "node_2679", + "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.98 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.9814497413188, + "fos_buckling": 1.0037457066035524, + "fos_yielding": 5.1437712751673565, + "deflection": 0.008714325521971456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.182)" + }, + "parent_node_id": "node_2678", + "improvement_over_parent": null + }, + "node_2680": { + "node_id": "node_2680", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.64074601816623, + "fos_buckling": 1.525946413905192, + "fos_yielding": 4.604217573450651, + "deflection": 0.006968877982835401, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0029)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 133.91 kg\n Factor of Safety: 0.63\n Max Deflection: 1.18e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.91032902861838, + "fos_buckling": 0.634446946671324, + "fos_yielding": 3.6548753404219045, + "deflection": 11843467546311.645, + "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: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0034)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 153.57 kg\n Factor of Safety: 1.56\n Max Deflection: 1.57e+13 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 153.57159476315752, + "fos_buckling": 1.559490287907379, + "fos_yielding": 6.976513527327437, + "deflection": 15702598463879.775, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_2682", + "improvement_over_parent": null + }, + "node_2684": { + "node_id": "node_2684", + "content": "MODIFICATION: Increase 2 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 159.49 kg\n Factor of Safety: 0.50\n Max Deflection: 2.93e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.49066346988886, + "fos_buckling": 0.5015252876320303, + "fos_yielding": 5.8262299830703626, + "deflection": 29332263630759.523, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.565)" + }, + "parent_node_id": "node_2683", + "improvement_over_parent": null + }, + "node_2685": { + "node_id": "node_2685", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 181.58 kg\n Factor of Safety: 0.62\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.58181159854917, + "fos_buckling": 0.617216794438679, + "fos_yielding": 4.264027295201364, + "deflection": 0.012488927452636809, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_2684", + "improvement_over_parent": null + }, + "node_2686": { + "node_id": "node_2686", + "content": "MODIFICATION: Increase 1 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 190.76 kg\n Factor of Safety: 0.62\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.76172793097103, + "fos_buckling": 0.6164740989145145, + "fos_yielding": 4.2623964163696, + "deflection": 0.0119903228638101, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.527)" + }, + "parent_node_id": "node_2685", + "improvement_over_parent": null + }, + "node_2687": { + "node_id": "node_2687", + "content": "MODIFICATION: Increase 3 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0066)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 191.88 kg\n Factor of Safety: 0.62\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.87726731056486, + "fos_buckling": 0.6164740989145141, + "fos_yielding": 4.6703970830380825, + "deflection": 0.01182017094373219, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.289)" + }, + "parent_node_id": "node_2686", + "improvement_over_parent": null + }, + "node_2688": { + "node_id": "node_2688", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0066)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 224.27 kg\n Factor of Safety: 1.48\n Max Deflection: 7.02e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.27088695068315, + "fos_buckling": 1.477080436168735, + "fos_yielding": 4.637092471211434, + "deflection": 0.007020456548231448, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_2687", + "improvement_over_parent": null + }, + "node_2689": { + "node_id": "node_2689", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2688", + "improvement_over_parent": null + }, + "node_2690": { + "node_id": "node_2690", + "content": "INITIAL DESIGN (Trace 389)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 175.55 kg\n Factor of Safety: 0.88\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": 175.5489222287675, + "fos_buckling": 0.8754919964732614, + "fos_yielding": 3.9905852411078224, + "deflection": 0.01011423704281851, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2691": { + "node_id": "node_2691", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n\nPerformance:\n Mass: 191.46 kg\n Factor of Safety: 1.29\n Max Deflection: 8.20e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.4581716626615, + "fos_buckling": 1.2926399018137247, + "fos_yielding": 4.003904650607493, + "deflection": 0.008199788777384103, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004312)" + }, + "parent_node_id": "node_2690", + "improvement_over_parent": null + }, + "node_2692": { + "node_id": "node_2692", + "content": "MODIFICATION: Increase 8 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0087)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n\nPerformance:\n Mass: 199.83 kg\n Factor of Safety: 1.29\n Max Deflection: 8.04e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.8291206200349, + "fos_buckling": 1.2895585527398832, + "fos_yielding": 3.9662919949141515, + "deflection": 0.008035558424770838, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.431)" + }, + "parent_node_id": "node_2691", + "improvement_over_parent": null + }, + "node_2693": { + "node_id": "node_2693", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0102)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n\nPerformance:\n Mass: 229.88 kg\n Factor of Safety: 1.45\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": 229.8818307057488, + "fos_buckling": 1.4460877861410777, + "fos_yielding": 4.561165278335053, + "deflection": 0.007004669068505692, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0028)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n Mass: 122.87 kg\n Factor of Safety: 0.94\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": 122.86626687336594, + "fos_buckling": 0.9398074517935562, + "fos_yielding": 2.676128521587778, + "deflection": 0.01327215437601605, + "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 all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n Mass: 153.97 kg\n Factor of Safety: 1.14\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": 153.97088806381512, + "fos_buckling": 1.1442391524320592, + "fos_yielding": 3.3476276020303257, + "deflection": 0.01062115961623564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_2695", + "improvement_over_parent": null + }, + "node_2697": { + "node_id": "node_2697", + "content": "MODIFICATION: Increase 0 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n Mass: 160.86 kg\n Factor of Safety: 1.14\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": 160.86499978817315, + "fos_buckling": 1.137284900864068, + "fos_yielding": 3.3452194624675866, + "deflection": 0.01001672954847465, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.536)" + }, + "parent_node_id": "node_2696", + "improvement_over_parent": null + }, + "node_2698": { + "node_id": "node_2698", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 189.48 kg\n Factor of Safety: 1.31\n Max Deflection: 8.53e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.4762246872167, + "fos_buckling": 1.3056600993543528, + "fos_yielding": 3.9354541929088795, + "deflection": 0.008528391480704089, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_2697", + "improvement_over_parent": null + }, + "node_2699": { + "node_id": "node_2699", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 218.20 kg\n Factor of Safety: 1.46\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": 218.19567527440933, + "fos_buckling": 1.4647361966508228, + "fos_yielding": 4.526450845666706, + "deflection": 0.00742682535037113, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_2698", + "improvement_over_parent": null + }, + "node_2700": { + "node_id": "node_2700", + "content": "MODIFICATION: Increase 1 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.73 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.73205773149894, + "fos_buckling": 1.5264528056738134, + "fos_yielding": 4.606266115300384, + "deflection": 0.00696599172660207, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.558)" + }, + "parent_node_id": "node_2699", + "improvement_over_parent": null + }, + "node_2701": { + "node_id": "node_2701", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2700", + "improvement_over_parent": null + }, + "node_2702": { + "node_id": "node_2702", + "content": "INITIAL DESIGN (Trace 391)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n\nPerformance:\n Mass: 145.44 kg\n Factor of Safety: 0.50\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.44325851721493, + "fos_buckling": 0.49648650090809215, + "fos_yielding": 3.1066702846058156, + "deflection": 0.01737848092606624, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2703": { + "node_id": "node_2703", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n\nPerformance:\n Mass: 181.02 kg\n Factor of Safety: 0.59\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.01872932887528, + "fos_buckling": 0.5935137304005064, + "fos_yielding": 3.8556486337929536, + "deflection": 0.013994727531772711, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_2702", + "improvement_over_parent": null + }, + "node_2704": { + "node_id": "node_2704", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 213.80 kg\n Factor of Safety: 1.44\n Max Deflection: 7.32e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.79632407176078, + "fos_buckling": 1.4386037058920393, + "fos_yielding": 4.665952255809124, + "deflection": 0.007318529266447989, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_2703", + "improvement_over_parent": null + }, + "node_2705": { + "node_id": "node_2705", + "content": "MODIFICATION: Increase 2 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 219.32 kg\n Factor of Safety: 1.44\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.31966039410784, + "fos_buckling": 1.4357335314612896, + "fos_yielding": 4.666903112193481, + "deflection": 0.007177517607188743, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.366)" + }, + "parent_node_id": "node_2704", + "improvement_over_parent": null + }, + "node_2706": { + "node_id": "node_2706", + "content": "MODIFICATION: Increase 9 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63766620796318, + "fos_buckling": 1.5259813325809761, + "fos_yielding": 4.604634589858457, + "deflection": 0.006968697288028094, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.543)" + }, + "parent_node_id": "node_2705", + "improvement_over_parent": null + }, + "node_2707": { + "node_id": "node_2707", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2706", + "improvement_over_parent": null + }, + "node_2708": { + "node_id": "node_2708", + "content": "INITIAL DESIGN (Trace 392)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0046)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0049)]\n\nPerformance:\n Mass: 127.11 kg\n Factor of Safety: 0.65\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.11390596930777, + "fos_buckling": 0.654576808795601, + "fos_yielding": 2.844984277232296, + "deflection": 0.014127521938569698, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2709": { + "node_id": "node_2709", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 166.38 kg\n Factor of Safety: 0.83\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": 166.3750276475651, + "fos_buckling": 0.8250082023127293, + "fos_yielding": 3.7183892262018374, + "deflection": 0.01084501080688542, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_2708", + "improvement_over_parent": null + }, + "node_2710": { + "node_id": "node_2710", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n\nPerformance:\n Mass: 184.25 kg\n Factor of Safety: 1.28\n Max Deflection: 8.57e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.24546682041512, + "fos_buckling": 1.283848202388909, + "fos_yielding": 3.7323374361516333, + "deflection": 0.008567997634618275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005468)" + }, + "parent_node_id": "node_2709", + "improvement_over_parent": null + }, + "node_2711": { + "node_id": "node_2711", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0073)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0065)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n\nPerformance:\n Mass: 206.11 kg\n Factor of Safety: 1.41\n Max Deflection: 7.68e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.1103888466175, + "fos_buckling": 1.408709109122888, + "fos_yielding": 4.172170495595421, + "deflection": 0.0076779538844902115, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_2710", + "improvement_over_parent": null + }, + "node_2712": { + "node_id": "node_2712", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.86 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.8634032603789, + "fos_buckling": 1.5272885610392501, + "fos_yielding": 4.609105974223692, + "deflection": 0.006961966997389843, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_2711", + "improvement_over_parent": null + }, + "node_2713": { + "node_id": "node_2713", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2712", + "improvement_over_parent": null + }, + "node_2714": { + "node_id": "node_2714", + "content": "INITIAL DESIGN (Trace 393)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n Mass: 115.46 kg\n Factor of Safety: 0.14\n Max Deflection: 9.13e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.45672602440405, + "fos_buckling": 0.1444790117239451, + "fos_yielding": 2.069159473567831, + "deflection": 91262297503322.66, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2715": { + "node_id": "node_2715", + "content": "MODIFICATION: Increase 5 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n Mass: 116.79 kg\n Factor of Safety: 0.14\n Max Deflection: 9.13e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.78599523533552, + "fos_buckling": 0.1444790117239451, + "fos_yielding": 2.069159473567831, + "deflection": 91262297503322.66, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.495)" + }, + "parent_node_id": "node_2714", + "improvement_over_parent": null + }, + "node_2716": { + "node_id": "node_2716", + "content": "MODIFICATION: Increase 4 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n Mass: 117.49 kg\n Factor of Safety: 0.64\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": 117.48689440229965, + "fos_buckling": 0.6381299700539023, + "fos_yielding": 3.4713592038036403, + "deflection": 14211714045396.795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.580)" + }, + "parent_node_id": "node_2715", + "improvement_over_parent": null + }, + "node_2717": { + "node_id": "node_2717", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 145.02 kg\n Factor of Safety: 0.54\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.02112828140332, + "fos_buckling": 0.5358401806644798, + "fos_yielding": 2.819085330990532, + "deflection": 0.016185346891007216, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006732)" + }, + "parent_node_id": "node_2716", + "improvement_over_parent": null + }, + "node_2718": { + "node_id": "node_2718", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 172.63 kg\n Factor of Safety: 0.62\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.63110716082537, + "fos_buckling": 0.6177697365455315, + "fos_yielding": 3.36218787173503, + "deflection": 0.013637448069962442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_2717", + "improvement_over_parent": null + }, + "node_2719": { + "node_id": "node_2719", + "content": "MODIFICATION: Increase 3 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 173.56 kg\n Factor of Safety: 0.62\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.55719093027116, + "fos_buckling": 0.6177697365455316, + "fos_yielding": 4.265363040053018, + "deflection": 0.013412663434878168, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.295)" + }, + "parent_node_id": "node_2718", + "improvement_over_parent": null + }, + "node_2720": { + "node_id": "node_2720", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 205.95 kg\n Factor of Safety: 1.00\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.95081057038945, + "fos_buckling": 1.0036617250905775, + "fos_yielding": 5.141837419234794, + "deflection": 0.008715306750018454, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_2719", + "improvement_over_parent": null + }, + "node_2721": { + "node_id": "node_2721", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.61010684723686, + "fos_buckling": 1.5258167613990563, + "fos_yielding": 4.6024893131798, + "deflection": 0.006969667423777114, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_2720", + "improvement_over_parent": null + }, + "node_2722": { + "node_id": "node_2722", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2721", + "improvement_over_parent": null + }, + "node_2723": { + "node_id": "node_2723", + "content": "INITIAL DESIGN (Trace 394)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\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_2724": { + "node_id": "node_2724", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n\nPerformance:\n Mass: 198.61 kg\n Factor of Safety: 1.00\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": 198.61392441840553, + "fos_buckling": 1.0047139713043287, + "fos_yielding": 5.147081487761388, + "deflection": 0.00870772002679799, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005494)" + }, + "parent_node_id": "node_2723", + "improvement_over_parent": null + }, + "node_2725": { + "node_id": "node_2725", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 223.73 kg\n Factor of Safety: 1.49\n Max Deflection: 7.06e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.73321939590647, + "fos_buckling": 1.4853665513046894, + "fos_yielding": 4.631229447577879, + "deflection": 0.007059528382242707, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_2724", + "improvement_over_parent": null + }, + "node_2726": { + "node_id": "node_2726", + "content": "MODIFICATION: Increase 3 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0064)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 224.67 kg\n Factor of Safety: 1.48\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": 224.66804109753673, + "fos_buckling": 1.4846543424869652, + "fos_yielding": 4.631681147824144, + "deflection": 0.0070121247985735925, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.241)" + }, + "parent_node_id": "node_2725", + "improvement_over_parent": null + }, + "node_2727": { + "node_id": "node_2727", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2726", + "improvement_over_parent": null + }, + "node_2728": { + "node_id": "node_2728", + "content": "INITIAL DESIGN (Trace 395)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 191.25 kg\n Factor of Safety: 0.51\n Max Deflection: 3.50e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.25323067512514, + "fos_buckling": 0.5100421672119964, + "fos_yielding": 3.5247333978656386, + "deflection": 0.034988511669678715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2729": { + "node_id": "node_2729", + "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 192.10 kg\n Factor of Safety: 0.51\n Max Deflection: 3.51e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.09586430255004, + "fos_buckling": 0.5100421672119965, + "fos_yielding": 3.524733397865638, + "deflection": 0.03508307903497808, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.221)" + }, + "parent_node_id": "node_2728", + "improvement_over_parent": null + }, + "node_2730": { + "node_id": "node_2730", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 194.48 kg\n Factor of Safety: 0.62\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": 194.4805466141362, + "fos_buckling": 0.6160683966213213, + "fos_yielding": 3.524033078220815, + "deflection": 0.012076639224597502, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_2729", + "improvement_over_parent": null + }, + "node_2731": { + "node_id": "node_2731", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 226.87 kg\n Factor of Safety: 1.42\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": 226.87416625425448, + "fos_buckling": 1.424749790994996, + "fos_yielding": 4.440748176405301, + "deflection": 0.007024763447781608, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_2730", + "improvement_over_parent": null + }, + "node_2732": { + "node_id": "node_2732", + "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63137228392037, + "fos_buckling": 1.5259942480891397, + "fos_yielding": 4.604759225687262, + "deflection": 0.00696897261034537, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.230)" + }, + "parent_node_id": "node_2731", + "improvement_over_parent": null + }, + "node_2733": { + "node_id": "node_2733", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2732", + "improvement_over_parent": null + }, + "node_2734": { + "node_id": "node_2734", + "content": "INITIAL DESIGN (Trace 396)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0028)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0025)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0025)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0019)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0014)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0020)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0029)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0026)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0026)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0029)]\n\nPerformance:\n Mass: 87.01 kg\n Factor of Safety: 0.66\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 87.00855915459115, + "fos_buckling": 0.658567032495591, + "fos_yielding": 1.7683000175696757, + "deflection": 0.017944636256946252, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2735": { + "node_id": "node_2735", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0032)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0028)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0028)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0021)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0015)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0022)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0033)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0029)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0033)]\n\nPerformance:\n Mass: 97.17 kg\n Factor of Safety: 0.73\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 97.17027192874174, + "fos_buckling": 0.7293158789041411, + "fos_yielding": 1.974137410435249, + "deflection": 0.016086662043563876, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_2734", + "improvement_over_parent": null + }, + "node_2736": { + "node_id": "node_2736", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0032)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0024)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0038)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n Mass: 112.83 kg\n Factor of Safety: 0.84\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.8289355976917, + "fos_buckling": 0.8358438474165669, + "fos_yielding": 2.291043786650495, + "deflection": 0.01387881517305562, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_2735", + "improvement_over_parent": null + }, + "node_2737": { + "node_id": "node_2737", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n Mass: 136.41 kg\n Factor of Safety: 0.99\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": 136.40864094443728, + "fos_buckling": 0.9905880690204601, + "fos_yielding": 2.767623858564994, + "deflection": 0.011510474559094193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_2736", + "improvement_over_parent": null + }, + "node_2738": { + "node_id": "node_2738", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n Mass: 154.41 kg\n Factor of Safety: 1.10\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.40602836617677, + "fos_buckling": 1.1041402737793296, + "fos_yielding": 3.1308641764427105, + "deflection": 0.010189569835085285, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_2737", + "improvement_over_parent": null + }, + "node_2739": { + "node_id": "node_2739", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 194.43 kg\n Factor of Safety: 1.34\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": 194.42999487779653, + "fos_buckling": 1.342651350679993, + "fos_yielding": 3.937078088605009, + "deflection": 0.008128651554352552, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_2738", + "improvement_over_parent": null + }, + "node_2740": { + "node_id": "node_2740", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.71 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.7057046656103, + "fos_buckling": 1.5263775042837826, + "fos_yielding": 4.605697558994479, + "deflection": 0.006966779478398859, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_2739", + "improvement_over_parent": null + }, + "node_2741": { + "node_id": "node_2741", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2740", + "improvement_over_parent": null + }, + "node_2742": { + "node_id": "node_2742", + "content": "INITIAL DESIGN (Trace 397)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n Mass: 93.62 kg\n Factor of Safety: 0.04\n Max Deflection: 7.80e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 93.61628317821877, + "fos_buckling": 0.03679132716420184, + "fos_yielding": 0.5007606711080074, + "deflection": 780242351568701.2, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2743": { + "node_id": "node_2743", + "content": "MODIFICATION: Increase 1 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n Mass: 100.65 kg\n Factor of Safety: 0.59\n Max Deflection: 2.94e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 100.64961057875757, + "fos_buckling": 0.5886612346272294, + "fos_yielding": 3.3381075414590717, + "deflection": 29370924270979.953, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.600)" + }, + "parent_node_id": "node_2742", + "improvement_over_parent": null + }, + "node_2744": { + "node_id": "node_2744", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n\nPerformance:\n Mass: 115.57 kg\n Factor of Safety: 0.62\n Max Deflection: 3.43e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.56569276587004, + "fos_buckling": 0.6210851572401066, + "fos_yielding": 3.4734777076998595, + "deflection": 34344815201303.895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004558)" + }, + "parent_node_id": "node_2743", + "improvement_over_parent": null + }, + "node_2745": { + "node_id": "node_2745", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n\nPerformance:\n Mass: 132.93 kg\n Factor of Safety: 0.32\n Max Deflection: 3.34e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.9322685734873, + "fos_buckling": 0.3217555970254267, + "fos_yielding": 1.8274376702109523, + "deflection": 33352909611202.49, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_2744", + "improvement_over_parent": null + }, + "node_2746": { + "node_id": "node_2746", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n\nPerformance:\n Mass: 158.60 kg\n Factor of Safety: 0.81\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.60291757678553, + "fos_buckling": 0.8108870289548511, + "fos_yielding": 3.666717438334724, + "deflection": 0.011237752665663632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006285)" + }, + "parent_node_id": "node_2745", + "improvement_over_parent": null + }, + "node_2747": { + "node_id": "node_2747", + "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n\nPerformance:\n Mass: 163.09 kg\n Factor of Safety: 0.81\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.08773902718067, + "fos_buckling": 0.8104086911836162, + "fos_yielding": 3.64645972667979, + "deflection": 0.011129284128402044, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.287)" + }, + "parent_node_id": "node_2746", + "improvement_over_parent": null + }, + "node_2748": { + "node_id": "node_2748", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0088)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 205.65 kg\n Factor of Safety: 0.98\n Max Deflection: 8.87e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.6486679321108, + "fos_buckling": 0.9801671387849038, + "fos_yielding": 4.5926431388176505, + "deflection": 0.008867270930213944, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_2747", + "improvement_over_parent": null + }, + "node_2749": { + "node_id": "node_2749", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0088)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.74 kg\n Factor of Safety: 1.51\n Max Deflection: 7.01e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.73981606077112, + "fos_buckling": 1.5076239779084406, + "fos_yielding": 4.609352503063731, + "deflection": 0.00701243836640686, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_2748", + "improvement_over_parent": null + }, + "node_2750": { + "node_id": "node_2750", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2749", + "improvement_over_parent": null + }, + "node_2751": { + "node_id": "node_2751", + "content": "INITIAL DESIGN (Trace 398)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\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_2752": { + "node_id": "node_2752", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 196.10 kg\n Factor of Safety: 0.73\n Max Deflection: 9.97e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.09925311756473, + "fos_buckling": 0.7321050178552798, + "fos_yielding": 4.58789535155491, + "deflection": 0.009968271343305005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_2751", + "improvement_over_parent": null + }, + "node_2753": { + "node_id": "node_2753", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 218.19 kg\n Factor of Safety: 1.24\n Max Deflection: 7.37e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.19040124622504, + "fos_buckling": 1.242842653375128, + "fos_yielding": 4.607600974732974, + "deflection": 0.007369908528947686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_2752", + "improvement_over_parent": null + }, + "node_2754": { + "node_id": "node_2754", + "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0103)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 228.02 kg\n Factor of Safety: 1.24\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.0242593696751, + "fos_buckling": 1.239397818124178, + "fos_yielding": 4.563254012411255, + "deflection": 0.007228089315413799, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.451)" + }, + "parent_node_id": "node_2753", + "improvement_over_parent": null + }, + "node_2755": { + "node_id": "node_2755", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2754", + "improvement_over_parent": null + }, + "node_2756": { + "node_id": "node_2756", + "content": "INITIAL DESIGN (Trace 399)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 142.38 kg\n Factor of Safety: 0.74\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": 142.383996943055, + "fos_buckling": 0.7419636469060984, + "fos_yielding": 2.768094034500395, + "deflection": 0.012581019760472222, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2757": { + "node_id": "node_2757", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 161.89 kg\n Factor of Safety: 0.83\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": 161.88955895832004, + "fos_buckling": 0.8277803598496088, + "fos_yielding": 3.1518401766494644, + "deflection": 0.011090628045077232, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_2756", + "improvement_over_parent": null + }, + "node_2758": { + "node_id": "node_2758", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n\nPerformance:\n Mass: 179.00 kg\n Factor of Safety: 1.06\n Max Deflection: 8.89e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.00390443830622, + "fos_buckling": 1.0587503805801812, + "fos_yielding": 3.1669907420628567, + "deflection": 0.00888738965363111, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005279)" + }, + "parent_node_id": "node_2757", + "improvement_over_parent": null + }, + "node_2759": { + "node_id": "node_2759", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 226.63 kg\n Factor of Safety: 1.31\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": 226.63331850102603, + "fos_buckling": 1.3088546077110061, + "fos_yielding": 4.023430655751461, + "deflection": 0.007055714367338994, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_2758", + "improvement_over_parent": null + }, + "node_2760": { + "node_id": "node_2760", + "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0052)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.41 kg\n Factor of Safety: 1.31\n Max Deflection: 6.99e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.41012986820067, + "fos_buckling": 1.3056763807134188, + "fos_yielding": 4.013660757813453, + "deflection": 0.0069929072084378135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.372)" + }, + "parent_node_id": "node_2759", + "improvement_over_parent": null + }, + "node_2761": { + "node_id": "node_2761", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2760", + "improvement_over_parent": null + }, + "node_2762": { + "node_id": "node_2762", + "content": "INITIAL DESIGN (Trace 400)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n Mass: 114.72 kg\n Factor of Safety: 0.40\n Max Deflection: 2.55e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 114.72076680119538, + "fos_buckling": 0.3977585804699583, + "fos_yielding": 1.904878033592147, + "deflection": 0.025489572225221496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2763": { + "node_id": "node_2763", + "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n Mass: 117.50 kg\n Factor of Safety: 0.47\n Max Deflection: 2.46e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.49556589283672, + "fos_buckling": 0.46909626700285295, + "fos_yielding": 1.9043572962899922, + "deflection": 0.024598106503206995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.220)" + }, + "parent_node_id": "node_2762", + "improvement_over_parent": null + }, + "node_2764": { + "node_id": "node_2764", + "content": "MODIFICATION: Increase 6 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0044)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n Mass: 118.79 kg\n Factor of Safety: 0.47\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.79067457537951, + "fos_buckling": 0.46909626700285295, + "fos_yielding": 2.798232030791226, + "deflection": 0.023954959701515798, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.558)" + }, + "parent_node_id": "node_2763", + "improvement_over_parent": null + }, + "node_2765": { + "node_id": "node_2765", + "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n Mass: 121.88 kg\n Factor of Safety: 0.47\n Max Deflection: 2.31e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.88365700706663, + "fos_buckling": 0.4689043948517243, + "fos_yielding": 2.798232030791226, + "deflection": 0.023061107842392584, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.205)" + }, + "parent_node_id": "node_2764", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n Mass: 146.48 kg\n Factor of Safety: 0.49\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.4750066356957, + "fos_buckling": 0.4859955376318757, + "fos_yielding": 3.2067319153233695, + "deflection": 0.015777491684057243, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005962)" + }, + "parent_node_id": "node_2765", + "improvement_over_parent": null + }, + "node_2767": { + "node_id": "node_2767", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 165.19 kg\n Factor of Safety: 0.54\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.19328947933397, + "fos_buckling": 0.5377554308775411, + "fos_yielding": 3.612295982654391, + "deflection": 0.014019075738401696, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_2766", + "improvement_over_parent": null + }, + "node_2768": { + "node_id": "node_2768", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 195.12 kg\n Factor of Safety: 0.62\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.1246739670895, + "fos_buckling": 0.6157696208829465, + "fos_yielding": 4.258843959317621, + "deflection": 0.011908340296738073, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_2767", + "improvement_over_parent": null + }, + "node_2769": { + "node_id": "node_2769", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.52 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5182936072078, + "fos_buckling": 1.5253448609907856, + "fos_yielding": 4.601871639924689, + "deflection": 0.006972339384738755, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_2768", + "improvement_over_parent": null + }, + "node_2770": { + "node_id": "node_2770", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2769", + "improvement_over_parent": null + }, + "node_2771": { + "node_id": "node_2771", + "content": "INITIAL DESIGN (Trace 401)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 174.23 kg\n Factor of Safety: 0.59\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": 174.2292592253787, + "fos_buckling": 0.594055912860375, + "fos_yielding": 3.796156931044301, + "deflection": 0.013182620585577252, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2772": { + "node_id": "node_2772", + "content": "MODIFICATION: Increase 5 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 174.98 kg\n Factor of Safety: 0.59\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": 174.98243715168775, + "fos_buckling": 0.5939383721325986, + "fos_yielding": 3.85394753121646, + "deflection": 0.01276866774427449, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.506)" + }, + "parent_node_id": "node_2771", + "improvement_over_parent": null + }, + "node_2773": { + "node_id": "node_2773", + "content": "MODIFICATION: Increase 2 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 181.10 kg\n Factor of Safety: 0.59\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.09944733172853, + "fos_buckling": 0.5934615402830462, + "fos_yielding": 3.8531756047324395, + "deflection": 0.012579785810986845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.420)" + }, + "parent_node_id": "node_2772", + "improvement_over_parent": null + }, + "node_2774": { + "node_id": "node_2774", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 213.88 kg\n Factor of Safety: 1.46\n Max Deflection: 7.60e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.87704207461402, + "fos_buckling": 1.4644355789688144, + "fos_yielding": 4.579164447686145, + "deflection": 0.0075979026955361, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_2773", + "improvement_over_parent": null + }, + "node_2775": { + "node_id": "node_2775", + "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 218.01 kg\n Factor of Safety: 1.46\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": 218.0063583779328, + "fos_buckling": 1.4609169121491368, + "fos_yielding": 4.608117647004531, + "deflection": 0.007432520261952702, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.188)" + }, + "parent_node_id": "node_2774", + "improvement_over_parent": null + }, + "node_2776": { + "node_id": "node_2776", + "content": "MODIFICATION: Increase 0 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6367619033788, + "fos_buckling": 1.5260449584739668, + "fos_yielding": 4.604163773193475, + "deflection": 0.006968832196521025, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.577)" + }, + "parent_node_id": "node_2775", + "improvement_over_parent": null + }, + "node_2777": { + "node_id": "node_2777", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2776", + "improvement_over_parent": null + }, + "node_2778": { + "node_id": "node_2778", + "content": "INITIAL DESIGN (Trace 402)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0028)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0042)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0036)]\n\nPerformance:\n Mass: 119.38 kg\n Factor of Safety: 0.82\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": 119.38154677200401, + "fos_buckling": 0.8190441698124403, + "fos_yielding": 2.5089831614702214, + "deflection": 0.013125947369492626, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2779": { + "node_id": "node_2779", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n Mass: 145.91 kg\n Factor of Safety: 0.98\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": 145.91369578682685, + "fos_buckling": 0.9818663873278926, + "fos_yielding": 3.0627113470501084, + "deflection": 0.010771119482672117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_2778", + "improvement_over_parent": null + }, + "node_2780": { + "node_id": "node_2780", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 180.56 kg\n Factor of Safety: 1.18\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": 180.5610723452932, + "fos_buckling": 1.184102149772858, + "fos_yielding": 3.7836100890566056, + "deflection": 0.008737948253115291, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_2779", + "improvement_over_parent": null + }, + "node_2781": { + "node_id": "node_2781", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 218.85 kg\n Factor of Safety: 1.39\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": 218.84921656323567, + "fos_buckling": 1.3939851485672847, + "fos_yielding": 4.577305858313777, + "deflection": 0.0072399033375289395, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_2780", + "improvement_over_parent": null + }, + "node_2782": { + "node_id": "node_2782", + "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 223.53 kg\n Factor of Safety: 1.48\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": 223.53391349439195, + "fos_buckling": 1.4818548914766523, + "fos_yielding": 4.607974447805105, + "deflection": 0.0070662757934825205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.183)" + }, + "parent_node_id": "node_2781", + "improvement_over_parent": null + }, + "node_2783": { + "node_id": "node_2783", + "content": "MODIFICATION: Increase 2 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.86 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.85945635104488, + "fos_buckling": 1.5271401792653037, + "fos_yielding": 4.608741629977123, + "deflection": 0.006962234210334641, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.267)" + }, + "parent_node_id": "node_2782", + "improvement_over_parent": null + }, + "node_2784": { + "node_id": "node_2784", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2783", + "improvement_over_parent": null + }, + "node_2785": { + "node_id": "node_2785", + "content": "INITIAL DESIGN (Trace 403)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, 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_2786": { + "node_id": "node_2786", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n\nPerformance:\n Mass: 88.28 kg\n Factor of Safety: 0.05\n Max Deflection: 4.32e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 88.2819820740156, + "fos_buckling": 0.047711233436849715, + "fos_yielding": 0.39726936389994605, + "deflection": 431537807999372.06, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004295)" + }, + "parent_node_id": "node_2785", + "improvement_over_parent": null + }, + "node_2787": { + "node_id": "node_2787", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 109.43 kg\n Factor of Safety: 0.05\n Max Deflection: 3.69e+14 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 109.42899205869219, + "fos_buckling": 0.047711233436849715, + "fos_yielding": 0.6400894988787157, + "deflection": 369226093281130.25, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005078)" + }, + "parent_node_id": "node_2786", + "improvement_over_parent": null + }, + "node_2788": { + "node_id": "node_2788", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n\nPerformance:\n Mass: 130.33 kg\n Factor of Safety: 0.68\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.32802395424235, + "fos_buckling": 0.6794997673352837, + "fos_yielding": 2.9674779228847767, + "deflection": 0.013549056952549656, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005048)" + }, + "parent_node_id": "node_2787", + "improvement_over_parent": null + }, + "node_2789": { + "node_id": "node_2789", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n\nPerformance:\n Mass: 164.26 kg\n Factor of Safety: 0.83\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.25858500523213, + "fos_buckling": 0.8284427502018058, + "fos_yielding": 3.735443358528357, + "deflection": 0.010794623749623625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_2788", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n\nPerformance:\n Mass: 185.10 kg\n Factor of Safety: 1.29\n Max Deflection: 8.53e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.10488986934666, + "fos_buckling": 1.288721206162333, + "fos_yielding": 3.7490550027804384, + "deflection": 0.008529452166059794, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005751)" + }, + "parent_node_id": "node_2789", + "improvement_over_parent": null + }, + "node_2791": { + "node_id": "node_2791", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.59 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.58788433257126, + "fos_buckling": 1.525661354157488, + "fos_yielding": 4.602875789011019, + "deflection": 0.006970505785268521, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_2790", + "improvement_over_parent": null + }, + "node_2792": { + "node_id": "node_2792", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2791", + "improvement_over_parent": null + }, + "node_2793": { + "node_id": "node_2793", + "content": "INITIAL DESIGN (Trace 404)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n Mass: 170.06 kg\n Factor of Safety: 0.79\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": 170.0621158559485, + "fos_buckling": 0.7909323811297523, + "fos_yielding": 3.8765533245325754, + "deflection": 0.013989364333297451, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2794": { + "node_id": "node_2794", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n\nPerformance:\n Mass: 171.86 kg\n Factor of Safety: 1.21\n Max Deflection: 9.17e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.862838819279, + "fos_buckling": 1.2105409990442704, + "fos_yielding": 3.4827635214417474, + "deflection": 0.009172621125374118, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002793)" + }, + "parent_node_id": "node_2793", + "improvement_over_parent": null + }, + "node_2795": { + "node_id": "node_2795", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n\nPerformance:\n Mass: 196.49 kg\n Factor of Safety: 1.35\n Max Deflection: 8.05e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.4871045328882, + "fos_buckling": 1.3543954814551498, + "fos_yielding": 3.978447983309968, + "deflection": 0.008045387607996838, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_2794", + "improvement_over_parent": null + }, + "node_2796": { + "node_id": "node_2796", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6094567894777, + "fos_buckling": 1.525869813622742, + "fos_yielding": 4.60375671279522, + "deflection": 0.006969629341290718, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 405)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 127.62 kg\n Factor of Safety: 0.74\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.61772200328505, + "fos_buckling": 0.7374439072000532, + "fos_yielding": 3.6418980402508443, + "deflection": 0.015034799614036401, + "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 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 152.33 kg\n Factor of Safety: 0.86\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": 152.32917448463078, + "fos_buckling": 0.8569001613301672, + "fos_yielding": 4.345712361921313, + "deflection": 0.012638761340081139, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_2798", + "improvement_over_parent": null + }, + "node_2800": { + "node_id": "node_2800", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n Mass: 173.55 kg\n Factor of Safety: 0.85\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": 173.54818924526333, + "fos_buckling": 0.8545117536545478, + "fos_yielding": 3.877348789647081, + "deflection": 0.010406120731816631, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005929)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n\nPerformance:\n Mass: 186.68 kg\n Factor of Safety: 1.21\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": 186.68300313105777, + "fos_buckling": 1.2091535427792792, + "fos_yielding": 3.8906969994012313, + "deflection": 0.00842617488262408, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003941)" + }, + "parent_node_id": "node_2800", + "improvement_over_parent": null + }, + "node_2802": { + "node_id": "node_2802", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n\nPerformance:\n Mass: 221.10 kg\n Factor of Safety: 1.40\n Max Deflection: 7.14e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.09556440556375, + "fos_buckling": 1.4018303484285413, + "fos_yielding": 4.600858576308724, + "deflection": 0.0071422069103443215, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "parent_node_id": "node_2801", + "improvement_over_parent": null + }, + "node_2803": { + "node_id": "node_2803", + "content": "MODIFICATION: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0099)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n\nPerformance:\n Mass: 229.61 kg\n Factor of Safety: 1.40\n Max Deflection: 7.01e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.6087183849856, + "fos_buckling": 1.4040367278995176, + "fos_yielding": 4.56056083373045, + "deflection": 0.007011179271301074, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.453)" + }, + "parent_node_id": "node_2802", + "improvement_over_parent": null + }, + "node_2804": { + "node_id": "node_2804", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2803", + "improvement_over_parent": null + }, + "node_2805": { + "node_id": "node_2805", + "content": "INITIAL DESIGN (Trace 406)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\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_2806": { + "node_id": "node_2806", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 199.63 kg\n Factor of Safety: 0.98\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": 199.63177594406196, + "fos_buckling": 0.9815524212810028, + "fos_yielding": 5.097880420192491, + "deflection": 0.010600630486162211, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_2805", + "improvement_over_parent": null + }, + "node_2807": { + "node_id": "node_2807", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 202.02 kg\n Factor of Safety: 0.98\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": 202.0164582556481, + "fos_buckling": 0.9809396927061044, + "fos_yielding": 4.587798233941628, + "deflection": 0.00881727389838292, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_2806", + "improvement_over_parent": null + }, + "node_2808": { + "node_id": "node_2808", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6329871649427, + "fos_buckling": 1.525990206172389, + "fos_yielding": 4.60419187449805, + "deflection": 0.006968977555562249, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_2807", + "improvement_over_parent": null + }, + "node_2809": { + "node_id": "node_2809", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2808", + "improvement_over_parent": null + }, + "node_2810": { + "node_id": "node_2810", + "content": "INITIAL DESIGN (Trace 407)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n\nPerformance:\n Mass: 98.87 kg\n Factor of Safety: 0.05\n Max Deflection: 6.34e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 98.87308230482304, + "fos_buckling": 0.05008318690263752, + "fos_yielding": 0.6400894988787157, + "deflection": 633894268619156.2, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2811": { + "node_id": "node_2811", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n Mass: 119.03 kg\n Factor of Safety: 0.25\n Max Deflection: 5.17e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.03251822521494, + "fos_buckling": 0.248072455353864, + "fos_yielding": 2.7702972721053074, + "deflection": 51688595094064.984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_2810", + "improvement_over_parent": null + }, + "node_2812": { + "node_id": "node_2812", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 147.60 kg\n Factor of Safety: 0.88\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": 147.6048582734655, + "fos_buckling": 0.8813468357929803, + "fos_yielding": 4.488370478559039, + "deflection": 0.012223727206028202, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007007)" + }, + "parent_node_id": "node_2811", + "improvement_over_parent": null + }, + "node_2813": { + "node_id": "node_2813", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n\nPerformance:\n Mass: 169.94 kg\n Factor of Safety: 0.90\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": 169.93688055635346, + "fos_buckling": 0.8993514604316619, + "fos_yielding": 4.488370478559039, + "deflection": 0.01021934588910046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006195)" + }, + "parent_node_id": "node_2812", + "improvement_over_parent": null + }, + "node_2814": { + "node_id": "node_2814", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 194.91 kg\n Factor of Safety: 1.00\n Max Deflection: 8.94e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.91049852264777, + "fos_buckling": 1.00475808439723, + "fos_yielding": 5.144598458928164, + "deflection": 0.008937448114563734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_2813", + "improvement_over_parent": null + }, + "node_2815": { + "node_id": "node_2815", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 220.03 kg\n Factor of Safety: 1.35\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.0297935001487, + "fos_buckling": 1.346902416404196, + "fos_yielding": 4.6018306172130305, + "deflection": 0.007180270016084205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_2814", + "improvement_over_parent": null + }, + "node_2816": { + "node_id": "node_2816", + "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.58 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.58459882542465, + "fos_buckling": 1.5254893461828454, + "fos_yielding": 4.603446748003189, + "deflection": 0.0069704190674369886, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.570)" + }, + "parent_node_id": "node_2815", + "improvement_over_parent": null + }, + "node_2817": { + "node_id": "node_2817", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2816", + "improvement_over_parent": null + }, + "node_2818": { + "node_id": "node_2818", + "content": "INITIAL DESIGN (Trace 408)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0026)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0041)]\n\nPerformance:\n Mass: 143.03 kg\n Factor of Safety: 0.95\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": 143.0273677077892, + "fos_buckling": 0.9484327036096502, + "fos_yielding": 3.3060412413157367, + "deflection": 0.011362942997042786, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2819": { + "node_id": "node_2819", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n Mass: 168.39 kg\n Factor of Safety: 1.10\n Max Deflection: 9.67e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.38889241139552, + "fos_buckling": 1.097566932404079, + "fos_yielding": 3.8843029975056345, + "deflection": 0.009671975710269638, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_2818", + "improvement_over_parent": null + }, + "node_2820": { + "node_id": "node_2820", + "content": "MODIFICATION: Increase 10 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 176.21 kg\n Factor of Safety: 1.32\n Max Deflection: 9.22e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.21143541130405, + "fos_buckling": 1.3152965322364385, + "fos_yielding": 3.9420526057811687, + "deflection": 0.009221254477370109, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.418)" + }, + "parent_node_id": "node_2819", + "improvement_over_parent": null + }, + "node_2821": { + "node_id": "node_2821", + "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 179.46 kg\n Factor of Safety: 1.34\n Max Deflection: 8.98e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.46293433598683, + "fos_buckling": 1.3449566947396185, + "fos_yielding": 3.9432149242438426, + "deflection": 0.008984131373270685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.294)" + }, + "parent_node_id": "node_2820", + "improvement_over_parent": null + }, + "node_2822": { + "node_id": "node_2822", + "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 187.62 kg\n Factor of Safety: 1.26\n Max Deflection: 8.36e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.62296012367102, + "fos_buckling": 1.2647011233617091, + "fos_yielding": 3.9401040334620396, + "deflection": 0.008364179334582411, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.560)" + }, + "parent_node_id": "node_2821", + "improvement_over_parent": null + }, + "node_2823": { + "node_id": "node_2823", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 219.48 kg\n Factor of Safety: 1.44\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.48099231496587, + "fos_buckling": 1.4371425273991891, + "fos_yielding": 4.602260985081877, + "deflection": 0.007175925815432811, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_2822", + "improvement_over_parent": null + }, + "node_2824": { + "node_id": "node_2824", + "content": "MODIFICATION: Increase 8 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.62 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.62423366207406, + "fos_buckling": 1.5259423514168162, + "fos_yielding": 4.603694935208164, + "deflection": 0.006969243908039532, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.511)" + }, + "parent_node_id": "node_2823", + "improvement_over_parent": null + }, + "node_2825": { + "node_id": "node_2825", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2824", + "improvement_over_parent": null + }, + "node_2826": { + "node_id": "node_2826", + "content": "INITIAL DESIGN (Trace 409)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 187.38 kg\n Factor of Safety: 0.98\n Max Deflection: 9.17e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.37956787361026, + "fos_buckling": 0.9828225407521493, + "fos_yielding": 4.691794737121375, + "deflection": 0.009172864111735091, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2827": { + "node_id": "node_2827", + "content": "MODIFICATION: Increase 8 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 195.23 kg\n Factor of Safety: 0.98\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": 195.22788617865925, + "fos_buckling": 0.9818120510854949, + "fos_yielding": 4.642065698384802, + "deflection": 0.009007421087040817, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.499)" + }, + "parent_node_id": "node_2826", + "improvement_over_parent": null + }, + "node_2828": { + "node_id": "node_2828", + "content": "MODIFICATION: Increase 3 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 202.00 kg\n Factor of Safety: 0.98\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": 202.00398747885666, + "fos_buckling": 0.9809412818806699, + "fos_yielding": 4.587868478739339, + "deflection": 0.008817512920106631, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.499)" + }, + "parent_node_id": "node_2827", + "improvement_over_parent": null + }, + "node_2829": { + "node_id": "node_2829", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.62 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.62051638815126, + "fos_buckling": 1.5258871214577607, + "fos_yielding": 4.604259823794304, + "deflection": 0.0069691958078754, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_2828", + "improvement_over_parent": null + }, + "node_2830": { + "node_id": "node_2830", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2829", + "improvement_over_parent": null + }, + "node_2831": { + "node_id": "node_2831", + "content": "INITIAL DESIGN (Trace 410)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 170.81 kg\n Factor of Safety: 0.76\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": 170.81019102195333, + "fos_buckling": 0.7564897941380839, + "fos_yielding": 4.126716027104991, + "deflection": 0.010788056295056359, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2832": { + "node_id": "node_2832", + "content": "MODIFICATION: Increase 8 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 177.50 kg\n Factor of Safety: 0.76\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": 177.49843830565678, + "fos_buckling": 0.7558254996947934, + "fos_yielding": 4.077285273380175, + "deflection": 0.010568595582533303, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.464)" + }, + "parent_node_id": "node_2831", + "improvement_over_parent": null + }, + "node_2833": { + "node_id": "node_2833", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n\nPerformance:\n Mass: 197.12 kg\n Factor of Safety: 1.23\n Max Deflection: 8.07e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.115847238724, + "fos_buckling": 1.2319370537974856, + "fos_yielding": 4.093791191828013, + "deflection": 0.008066829413768522, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006048)" + }, + "parent_node_id": "node_2832", + "improvement_over_parent": null + }, + "node_2834": { + "node_id": "node_2834", + "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0078)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n\nPerformance:\n Mass: 201.84 kg\n Factor of Safety: 1.27\n Max Deflection: 7.95e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.8395874016477, + "fos_buckling": 1.2694313523034448, + "fos_yielding": 4.094284283199022, + "deflection": 0.007951121282776573, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.230)" + }, + "parent_node_id": "node_2833", + "improvement_over_parent": null + }, + "node_2835": { + "node_id": "node_2835", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0089)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.34 kg\n Factor of Safety: 1.40\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.34379651369284, + "fos_buckling": 1.404401593767408, + "fos_yielding": 4.60818051807752, + "deflection": 0.007077433501848897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_2834", + "improvement_over_parent": null + }, + "node_2836": { + "node_id": "node_2836", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2835", + "improvement_over_parent": null + }, + "node_2837": { + "node_id": "node_2837", + "content": "INITIAL DESIGN (Trace 411)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 193.64 kg\n Factor of Safety: 0.98\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": 193.6449309031237, + "fos_buckling": 0.9823226460377634, + "fos_yielding": 5.097881710685375, + "deflection": 0.010592231793019964, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2838": { + "node_id": "node_2838", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 219.26 kg\n Factor of Safety: 1.00\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": 219.2614598124183, + "fos_buckling": 0.999510352859812, + "fos_yielding": 5.121306041034677, + "deflection": 0.010591150561188322, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_2837", + "improvement_over_parent": null + }, + "node_2839": { + "node_id": "node_2839", + "content": "MODIFICATION: Increase 2 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 225.25 kg\n Factor of Safety: 1.00\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": 225.24996220552742, + "fos_buckling": 0.9997087649492947, + "fos_yielding": 5.1229729960515105, + "deflection": 0.010599492000380248, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.408)" + }, + "parent_node_id": "node_2838", + "improvement_over_parent": null + }, + "node_2840": { + "node_id": "node_2840", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63464451711357, + "fos_buckling": 1.5259757337047601, + "fos_yielding": 4.604200692750026, + "deflection": 0.006968941460996933, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_2839", + "improvement_over_parent": null + }, + "node_2841": { + "node_id": "node_2841", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2840", + "improvement_over_parent": null + }, + "node_2842": { + "node_id": "node_2842", + "content": "INITIAL DESIGN (Trace 412)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 156.31 kg\n Factor of Safety: 0.81\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": 156.30778140935763, + "fos_buckling": 0.8126644010735378, + "fos_yielding": 3.64914141039674, + "deflection": 0.012503149717582027, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2843": { + "node_id": "node_2843", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 196.88 kg\n Factor of Safety: 0.98\n Max Deflection: 9.96e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.8770512942016, + "fos_buckling": 0.9813055811880871, + "fos_yielding": 4.586284111016852, + "deflection": 0.009956688147598623, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_2842", + "improvement_over_parent": null + }, + "node_2844": { + "node_id": "node_2844", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 218.97 kg\n Factor of Safety: 1.49\n Max Deflection: 7.37e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.96819942286191, + "fos_buckling": 1.4911147680676846, + "fos_yielding": 4.605947172640921, + "deflection": 0.007368620833197749, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_2843", + "improvement_over_parent": null + }, + "node_2845": { + "node_id": "node_2845", + "content": "MODIFICATION: Increase 0 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.57 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.56862248928223, + "fos_buckling": 1.525534445699023, + "fos_yielding": 4.602526845289068, + "deflection": 0.006970902604598613, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.488)" + }, + "parent_node_id": "node_2844", + "improvement_over_parent": null + }, + "node_2846": { + "node_id": "node_2846", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2845", + "improvement_over_parent": null + }, + "node_2847": { + "node_id": "node_2847", + "content": "INITIAL DESIGN (Trace 413)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 167.74 kg\n Factor of Safety: 0.91\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": 167.73540522254518, + "fos_buckling": 0.9095769615089782, + "fos_yielding": 4.541689936651708, + "deflection": 0.012928209632880742, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2848": { + "node_id": "node_2848", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 190.00 kg\n Factor of Safety: 1.01\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": 190.00355130228274, + "fos_buckling": 1.0056910924351794, + "fos_yielding": 5.141441824149225, + "deflection": 0.011422854319076777, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_2847", + "improvement_over_parent": null + }, + "node_2849": { + "node_id": "node_2849", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 192.39 kg\n Factor of Safety: 1.01\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": 192.3882336138689, + "fos_buckling": 1.0050625638602533, + "fos_yielding": 4.433211696564827, + "deflection": 0.009255795169464946, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_2848", + "improvement_over_parent": null + }, + "node_2850": { + "node_id": "node_2850", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 214.05 kg\n Factor of Safety: 1.32\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": 214.0475298907163, + "fos_buckling": 1.3222737392946353, + "fos_yielding": 4.450959584566266, + "deflection": 0.007515089769965904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_2849", + "improvement_over_parent": null + }, + "node_2851": { + "node_id": "node_2851", + "content": "MODIFICATION: Increase 0 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 221.17 kg\n Factor of Safety: 1.44\n Max Deflection: 7.16e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.1724660274303, + "fos_buckling": 1.4428873129090398, + "fos_yielding": 4.522329977922525, + "deflection": 0.007164215989470173, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.376)" + }, + "parent_node_id": "node_2850", + "improvement_over_parent": null + }, + "node_2852": { + "node_id": "node_2852", + "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0067)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 222.16 kg\n Factor of Safety: 1.44\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.16020527412195, + "fos_buckling": 1.4421660456116159, + "fos_yielding": 4.522953803708569, + "deflection": 0.007113627262960592, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.221)" + }, + "parent_node_id": "node_2851", + "improvement_over_parent": null + }, + "node_2853": { + "node_id": "node_2853", + "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0067)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.80 kg\n Factor of Safety: 1.43\n Max Deflection: 6.97e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.79543350420556, + "fos_buckling": 1.4326604499322515, + "fos_yielding": 4.469623497703704, + "deflection": 0.006974904766731266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.376)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 414)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 157.57 kg\n Factor of Safety: 0.80\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": 157.57119407536075, + "fos_buckling": 0.7996094978276796, + "fos_yielding": 3.9780488380841614, + "deflection": 0.01694114733529491, + "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 0 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0036)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 164.22 kg\n Factor of Safety: 0.77\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.2165557798357, + "fos_buckling": 0.7676596427960646, + "fos_yielding": 3.9231144157483335, + "deflection": 0.015420560315499853, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.471)" + }, + "parent_node_id": "node_2855", + "improvement_over_parent": null + }, + "node_2857": { + "node_id": "node_2857", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 211.12 kg\n Factor of Safety: 0.95\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.12322771239582, + "fos_buckling": 0.9461529881496075, + "fos_yielding": 5.030323443131842, + "deflection": 0.012012867641357313, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_2856", + "improvement_over_parent": null + }, + "node_2858": { + "node_id": "node_2858", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 213.51 kg\n Factor of Safety: 1.43\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": 213.50791002398196, + "fos_buckling": 1.432083282176584, + "fos_yielding": 4.511078289274752, + "deflection": 0.007580899951135169, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_2857", + "improvement_over_parent": null + }, + "node_2859": { + "node_id": "node_2859", + "content": "MODIFICATION: Increase 1 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 223.99 kg\n Factor of Safety: 1.49\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.9877412560763, + "fos_buckling": 1.4890736797504012, + "fos_yielding": 4.601945775103511, + "deflection": 0.00705460680295368, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.647)" + }, + "parent_node_id": "node_2858", + "improvement_over_parent": null + }, + "node_2860": { + "node_id": "node_2860", + "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.56 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5605609782702, + "fos_buckling": 1.5257670520484428, + "fos_yielding": 4.602554034730366, + "deflection": 0.006971020236263611, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.212)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 415)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 155.70 kg\n Factor of Safety: 1.09\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": 155.70046459177104, + "fos_buckling": 1.0922450248546858, + "fos_yielding": 3.2420221712053157, + "deflection": 0.010044939402306191, + "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 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 190.90 kg\n Factor of Safety: 1.30\n Max Deflection: 8.23e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.90419081102462, + "fos_buckling": 1.2979559584777807, + "fos_yielding": 3.968903429588958, + "deflection": 0.00822570844588882, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_2862", + "improvement_over_parent": null + }, + "node_2864": { + "node_id": "node_2864", + "content": "MODIFICATION: Increase 8 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 196.07 kg\n Factor of Safety: 1.35\n Max Deflection: 8.06e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.06738036935525, + "fos_buckling": 1.3519246093886128, + "fos_yielding": 3.9697707121456993, + "deflection": 0.008062425413525944, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.330)" + }, + "parent_node_id": "node_2863", + "improvement_over_parent": null + }, + "node_2865": { + "node_id": "node_2865", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.83 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.83433011510033, + "fos_buckling": 1.526981241169173, + "fos_yielding": 4.608001586025591, + "deflection": 0.006963091903646996, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_2864", + "improvement_over_parent": null + }, + "node_2866": { + "node_id": "node_2866", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2865", + "improvement_over_parent": null + }, + "node_2867": { + "node_id": "node_2867", + "content": "INITIAL DESIGN (Trace 416)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 178.59 kg\n Factor of Safety: 0.52\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": 178.58673611665054, + "fos_buckling": 0.5208654290581044, + "fos_yielding": 2.8958326896719746, + "deflection": 0.011973735312679793, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2868": { + "node_id": "node_2868", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 200.68 kg\n Factor of Safety: 0.92\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": 200.67788424531085, + "fos_buckling": 0.9181447686002766, + "fos_yielding": 2.9089582805654297, + "deflection": 0.008448032727982635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_2867", + "improvement_over_parent": null + }, + "node_2869": { + "node_id": "node_2869", + "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 210.36 kg\n Factor of Safety: 1.11\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": 210.36153527263343, + "fos_buckling": 1.1104552693257, + "fos_yielding": 2.9058649140807447, + "deflection": 0.007686280359694417, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.661)" + }, + "parent_node_id": "node_2868", + "improvement_over_parent": null + }, + "node_2870": { + "node_id": "node_2870", + "content": "MODIFICATION: Increase 8 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0109)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 221.84 kg\n Factor of Safety: 1.10\n Max Deflection: 7.54e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.84275796487242, + "fos_buckling": 1.0994590845059873, + "fos_yielding": 2.877089844486314, + "deflection": 0.007544818249030893, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.531)" + }, + "parent_node_id": "node_2869", + "improvement_over_parent": null + }, + "node_2871": { + "node_id": "node_2871", + "content": "MODIFICATION: Increase 7 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0076)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0109)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 231.36 kg\n Factor of Safety: 1.10\n Max Deflection: 7.26e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.3615851744991, + "fos_buckling": 1.0999082344138194, + "fos_yielding": 2.8782651903056227, + "deflection": 0.007260397064641085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.608)" + }, + "parent_node_id": "node_2870", + "improvement_over_parent": null + }, + "node_2872": { + "node_id": "node_2872", + "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0102)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0109)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 239.47 kg\n Factor of Safety: 1.10\n Max Deflection: 7.12e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.47385032230923, + "fos_buckling": 1.1000670535976047, + "fos_yielding": 2.878680792002146, + "deflection": 0.007117537252148473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.348)" + }, + "parent_node_id": "node_2871", + "improvement_over_parent": null + }, + "node_2873": { + "node_id": "node_2873", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2872", + "improvement_over_parent": null + }, + "node_2874": { + "node_id": "node_2874", + "content": "INITIAL DESIGN (Trace 417)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2875": { + "node_id": "node_2875", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n\nPerformance:\n Mass: 159.89 kg\n Factor of Safety: 0.83\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": 159.89492190682773, + "fos_buckling": 0.8338821486659497, + "fos_yielding": 4.101800652172255, + "deflection": 0.010877352206815143, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004330)" + }, + "parent_node_id": "node_2874", + "improvement_over_parent": null + }, + "node_2876": { + "node_id": "node_2876", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 200.77 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.76754014834594, + "fos_buckling": 1.004353971155251, + "fos_yielding": 5.145625452655038, + "deflection": 0.008709861446333636, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_2875", + "improvement_over_parent": null + }, + "node_2877": { + "node_id": "node_2877", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 222.43 kg\n Factor of Safety: 1.47\n Max Deflection: 7.09e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.42683642519336, + "fos_buckling": 1.4742814776501356, + "fos_yielding": 4.638525422128979, + "deflection": 0.00708568178902073, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_2876", + "improvement_over_parent": null + }, + "node_2878": { + "node_id": "node_2878", + "content": "MODIFICATION: Increase 9 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.60 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.60146889650895, + "fos_buckling": 1.525794121112276, + "fos_yielding": 4.603821255442819, + "deflection": 0.006969796880685084, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.285)" + }, + "parent_node_id": "node_2877", + "improvement_over_parent": null + }, + "node_2879": { + "node_id": "node_2879", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2878", + "improvement_over_parent": null + }, + "node_2880": { + "node_id": "node_2880", + "content": "INITIAL DESIGN (Trace 418)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 171.02 kg\n Factor of Safety: 0.75\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": 171.02009211594807, + "fos_buckling": 0.754058219645047, + "fos_yielding": 4.479326832011516, + "deflection": 0.01068723183201735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2881": { + "node_id": "node_2881", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n Mass: 192.88 kg\n Factor of Safety: 1.20\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": 192.87998329621462, + "fos_buckling": 1.2009184410118838, + "fos_yielding": 3.975540532762886, + "deflection": 0.00824787342130795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006123)" + }, + "parent_node_id": "node_2880", + "improvement_over_parent": null + }, + "node_2882": { + "node_id": "node_2882", + "content": "MODIFICATION: Increase 10 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0076)]\n\nPerformance:\n Mass: 197.66 kg\n Factor of Safety: 1.24\n Max Deflection: 8.13e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.6633071130622, + "fos_buckling": 1.2375071266992907, + "fos_yielding": 3.95166706628381, + "deflection": 0.008127804788731213, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.242)" + }, + "parent_node_id": "node_2881", + "improvement_over_parent": null + }, + "node_2883": { + "node_id": "node_2883", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0089)]\n\nPerformance:\n Mass: 227.14 kg\n Factor of Safety: 1.39\n Max Deflection: 7.09e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.13656845781188, + "fos_buckling": 1.3933380704123612, + "fos_yielding": 4.537603686757609, + "deflection": 0.007094100173742888, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_2882", + "improvement_over_parent": null + }, + "node_2884": { + "node_id": "node_2884", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2883", + "improvement_over_parent": null + }, + "node_2885": { + "node_id": "node_2885", + "content": "INITIAL DESIGN (Trace 419)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\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_2886": { + "node_id": "node_2886", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 205.54 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.54183912695203, + "fos_buckling": 0.9804872604151356, + "fos_yielding": 4.587203241099992, + "deflection": 0.008819898318209389, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_2885", + "improvement_over_parent": null + }, + "node_2887": { + "node_id": "node_2887", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63298725561233, + "fos_buckling": 1.5259788749908192, + "fos_yielding": 4.604199109896495, + "deflection": 0.006968967111365604, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_2886", + "improvement_over_parent": null + }, + "node_2888": { + "node_id": "node_2888", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2887", + "improvement_over_parent": null + }, + "node_2889": { + "node_id": "node_2889", + "content": "INITIAL DESIGN (Trace 420)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n Mass: 157.05 kg\n Factor of Safety: 0.79\n Max Deflection: 4.77e+11 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.05001988254756, + "fos_buckling": 0.7948650008139013, + "fos_yielding": 4.602792646291688, + "deflection": 477160546622.6559, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2890": { + "node_id": "node_2890", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n\nPerformance:\n Mass: 176.39 kg\n Factor of Safety: 0.80\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": 176.38658726023814, + "fos_buckling": 0.8015504210888782, + "fos_yielding": 4.547807031715572, + "deflection": 0.012439096367812548, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006023)" + }, + "parent_node_id": "node_2889", + "improvement_over_parent": null + }, + "node_2891": { + "node_id": "node_2891", + "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0074)]\n\nPerformance:\n Mass: 180.26 kg\n Factor of Safety: 0.80\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": 180.26246999772238, + "fos_buckling": 0.8011320745345887, + "fos_yielding": 4.546281449470764, + "deflection": 0.012445513185233457, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.222)" + }, + "parent_node_id": "node_2890", + "improvement_over_parent": null + }, + "node_2892": { + "node_id": "node_2892", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0074)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n\nPerformance:\n Mass: 182.39 kg\n Factor of Safety: 0.89\n Max Deflection: 9.98e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.39175804854543, + "fos_buckling": 0.8948909293824061, + "fos_yielding": 4.045204036708915, + "deflection": 0.009976338174326652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003346)" + }, + "parent_node_id": "node_2891", + "improvement_over_parent": null + }, + "node_2893": { + "node_id": "node_2893", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0074)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n\nPerformance:\n Mass: 202.11 kg\n Factor of Safety: 1.27\n Max Deflection: 7.93e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.11367585861268, + "fos_buckling": 1.2708101940662042, + "fos_yielding": 4.059865725899293, + "deflection": 0.007926405765622882, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006083)" + }, + "parent_node_id": "node_2892", + "improvement_over_parent": null + }, + "node_2894": { + "node_id": "node_2894", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0083)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 226.56 kg\n Factor of Safety: 1.40\n Max Deflection: 7.09e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.56307591717461, + "fos_buckling": 1.4000603314012812, + "fos_yielding": 4.547894848231892, + "deflection": 0.007088865568918079, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_2893", + "improvement_over_parent": null + }, + "node_2895": { + "node_id": "node_2895", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2894", + "improvement_over_parent": null + }, + "node_2896": { + "node_id": "node_2896", + "content": "INITIAL DESIGN (Trace 421)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2897": { + "node_id": "node_2897", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n\nPerformance:\n Mass: 111.67 kg\n Factor of Safety: 0.04\n Max Deflection: 7.23e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 111.6742447398462, + "fos_buckling": 0.04371490636746599, + "fos_yielding": 0.48296547949206947, + "deflection": 723029872782608.4, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005428)" + }, + "parent_node_id": "node_2896", + "improvement_over_parent": null + }, + "node_2898": { + "node_id": "node_2898", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 137.80 kg\n Factor of Safety: 0.83\n Max Deflection: 2.78e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.8043108884047, + "fos_buckling": 0.8340810638455269, + "fos_yielding": 5.144755558428561, + "deflection": 27848139629922.508, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.256)" + }, + "parent_node_id": "node_2897", + "improvement_over_parent": null + }, + "node_2899": { + "node_id": "node_2899", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 162.92 kg\n Factor of Safety: 0.59\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.92360586590564, + "fos_buckling": 0.5948114993308833, + "fos_yielding": 3.8550418385430203, + "deflection": 0.013684016426885253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_2898", + "improvement_over_parent": null + }, + "node_2900": { + "node_id": "node_2900", + "content": "MODIFICATION: Increase 2 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 169.21 kg\n Factor of Safety: 0.59\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.2129170967497, + "fos_buckling": 0.5943197484180953, + "fos_yielding": 3.8542476342351453, + "deflection": 0.013694772400549716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.437)" + }, + "parent_node_id": "node_2899", + "improvement_over_parent": null + }, + "node_2901": { + "node_id": "node_2901", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 201.99 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.9905118396352, + "fos_buckling": 0.9808534863662134, + "fos_yielding": 4.587299547621352, + "deflection": 0.008818036561659009, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_2900", + "improvement_over_parent": null + }, + "node_2902": { + "node_id": "node_2902", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6070407489298, + "fos_buckling": 1.5259902436990076, + "fos_yielding": 4.603690177869601, + "deflection": 0.006969693473988085, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_2901", + "improvement_over_parent": null + }, + "node_2903": { + "node_id": "node_2903", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2902", + "improvement_over_parent": null + }, + "node_2904": { + "node_id": "node_2904", + "content": "INITIAL DESIGN (Trace 422)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0044)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 126.36 kg\n Factor of Safety: 0.50\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.35675730458796, + "fos_buckling": 0.50022080306208, + "fos_yielding": 3.3073356527850573, + "deflection": 0.018264023962715127, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2905": { + "node_id": "node_2905", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 163.66 kg\n Factor of Safety: 0.62\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.66286588683533, + "fos_buckling": 0.6189729985511152, + "fos_yielding": 4.2699156474793165, + "deflection": 0.014155004778665397, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_2904", + "improvement_over_parent": null + }, + "node_2906": { + "node_id": "node_2906", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 196.06 kg\n Factor of Safety: 1.01\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": 196.05648552695362, + "fos_buckling": 1.005612364669013, + "fos_yielding": 5.1488237848569245, + "deflection": 0.009468729377095272, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_2905", + "improvement_over_parent": null + }, + "node_2907": { + "node_id": "node_2907", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 221.18 kg\n Factor of Safety: 1.53\n Max Deflection: 7.25e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 221.17578050445456, + "fos_buckling": 1.5257275860284567, + "fos_yielding": 4.55780447668915, + "deflection": 0.007249680536884862, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_2906", + "improvement_over_parent": null + }, + "node_2908": { + "node_id": "node_2908", + "content": "MODIFICATION: Increase 1 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.74 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.74144504430794, + "fos_buckling": 1.5267321884062843, + "fos_yielding": 4.607368862663108, + "deflection": 0.006965641048791317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.332)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 423)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 148.28 kg\n Factor of Safety: 0.77\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": 148.27725254949215, + "fos_buckling": 0.7661971269686587, + "fos_yielding": 3.71397428021486, + "deflection": 0.012017001148891567, + "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: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 175.18 kg\n Factor of Safety: 0.88\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": 175.1825292093233, + "fos_buckling": 0.8818446052877476, + "fos_yielding": 4.386262095925622, + "deflection": 0.0102043421025603, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_2910", + "improvement_over_parent": null + }, + "node_2912": { + "node_id": "node_2912", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.33 kg\n Factor of Safety: 1.00\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": 205.33413758506495, + "fos_buckling": 1.00313406461534, + "fos_yielding": 5.139068287168023, + "deflection": 0.008737443369378131, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_2911", + "improvement_over_parent": null + }, + "node_2913": { + "node_id": "node_2913", + "content": "MODIFICATION: Increase 4 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.78 kg\n Factor of Safety: 1.00\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.78009785415733, + "fos_buckling": 1.0030170163227627, + "fos_yielding": 5.13906828716802, + "deflection": 0.008722385791672838, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.253)" + }, + "parent_node_id": "node_2912", + "improvement_over_parent": null + }, + "node_2914": { + "node_id": "node_2914", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.44 kg\n Factor of Safety: 1.53\n Max Deflection: 6.98e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.43939413100475, + "fos_buckling": 1.5250043724679698, + "fos_yielding": 4.599920437056658, + "deflection": 0.006975030882461422, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_2913", + "improvement_over_parent": null + }, + "node_2915": { + "node_id": "node_2915", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2914", + "improvement_over_parent": null + }, + "node_2916": { + "node_id": "node_2916", + "content": "INITIAL DESIGN (Trace 424)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 169.26 kg\n Factor of Safety: 0.89\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": 169.26134862880863, + "fos_buckling": 0.8936347772600022, + "fos_yielding": 3.5563084551169615, + "deflection": 0.010421090782357168, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2917": { + "node_id": "node_2917", + "content": "MODIFICATION: Increase 1 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 178.32 kg\n Factor of Safety: 0.89\n Max Deflection: 9.88e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.32173827839136, + "fos_buckling": 0.8925720410724014, + "fos_yielding": 3.5563084551169615, + "deflection": 0.009883946096457784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.610)" + }, + "parent_node_id": "node_2916", + "improvement_over_parent": null + }, + "node_2918": { + "node_id": "node_2918", + "content": "MODIFICATION: Increase 4 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 179.73 kg\n Factor of Safety: 0.89\n Max Deflection: 9.88e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.73173460637844, + "fos_buckling": 0.8925720410724014, + "fos_yielding": 4.08490204112151, + "deflection": 0.009883946096457784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.616)" + }, + "parent_node_id": "node_2917", + "improvement_over_parent": null + }, + "node_2919": { + "node_id": "node_2919", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 201.98 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.9775221314392, + "fos_buckling": 0.9807553686952409, + "fos_yielding": 4.5867968751169315, + "deflection": 0.008818984258178035, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_2918", + "improvement_over_parent": null + }, + "node_2920": { + "node_id": "node_2920", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.59 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5940510407338, + "fos_buckling": 1.5255817248822676, + "fos_yielding": 4.603188801504739, + "deflection": 0.006970135723234122, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_2919", + "improvement_over_parent": null + }, + "node_2921": { + "node_id": "node_2921", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2920", + "improvement_over_parent": null + }, + "node_2922": { + "node_id": "node_2922", + "content": "INITIAL DESIGN (Trace 425)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, 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_2923": { + "node_id": "node_2923", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n\nPerformance:\n Mass: 132.97 kg\n Factor of Safety: 0.71\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.9681173727473, + "fos_buckling": 0.7063918320600936, + "fos_yielding": 3.381110222567145, + "deflection": 0.013156595103871817, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004333)" + }, + "parent_node_id": "node_2922", + "improvement_over_parent": null + }, + "node_2924": { + "node_id": "node_2924", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n Mass: 149.46 kg\n Factor of Safety: 1.07\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": 149.46189052644377, + "fos_buckling": 1.073337627182637, + "fos_yielding": 3.03111366708368, + "deflection": 0.010520760366067307, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004529)" + }, + "parent_node_id": "node_2923", + "improvement_over_parent": null + }, + "node_2925": { + "node_id": "node_2925", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 175.69 kg\n Factor of Safety: 1.23\n Max Deflection: 8.98e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.6939218105493, + "fos_buckling": 1.2333961552978618, + "fos_yielding": 3.5599358270694967, + "deflection": 0.008976525512662623, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_2924", + "improvement_over_parent": null + }, + "node_2926": { + "node_id": "node_2926", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.71 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.71452976958932, + "fos_buckling": 1.5264251303236456, + "fos_yielding": 4.605863715612965, + "deflection": 0.006966523080289887, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 426)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n Mass: 125.13 kg\n Factor of Safety: 0.64\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.13435911510469, + "fos_buckling": 0.6415659540052427, + "fos_yielding": 4.075209124626058, + "deflection": 0.01648187216065473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2929": { + "node_id": "node_2929", + "content": "MODIFICATION: Increase 1 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n\nPerformance:\n Mass: 133.41 kg\n Factor of Safety: 0.64\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.41328571905285, + "fos_buckling": 0.640864591039922, + "fos_yielding": 4.075209124626058, + "deflection": 0.014636712062364467, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.629)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n\nPerformance:\n Mass: 153.69 kg\n Factor of Safety: 0.64\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": 153.69280336152454, + "fos_buckling": 0.6391530395549879, + "fos_yielding": 4.075209124626058, + "deflection": 0.012140895792221261, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005583)" + }, + "parent_node_id": "node_2929", + "improvement_over_parent": null + }, + "node_2931": { + "node_id": "node_2931", + "content": "MODIFICATION: Increase 9 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0076)]\n\nPerformance:\n Mass: 160.49 kg\n Factor of Safety: 0.64\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.48566148900824, + "fos_buckling": 0.6385817778182395, + "fos_yielding": 4.075209124626058, + "deflection": 0.01196433789486997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.370)" + }, + "parent_node_id": "node_2930", + "improvement_over_parent": null + }, + "node_2932": { + "node_id": "node_2932", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0046)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0076)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 180.37 kg\n Factor of Safety: 1.04\n Max Deflection: 9.03e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.36924791271943, + "fos_buckling": 1.0403692864341179, + "fos_yielding": 3.6031585875904697, + "deflection": 0.009028923285061706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005528)" + }, + "parent_node_id": "node_2931", + "improvement_over_parent": null + }, + "node_2933": { + "node_id": "node_2933", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0099)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.71 kg\n Factor of Safety: 1.28\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.7087291361432, + "fos_buckling": 1.2778099945923045, + "fos_yielding": 4.545395134752086, + "deflection": 0.007181384160046473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_2932", + "improvement_over_parent": null + }, + "node_2934": { + "node_id": "node_2934", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2933", + "improvement_over_parent": null + }, + "node_2935": { + "node_id": "node_2935", + "content": "INITIAL DESIGN (Trace 427)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n Mass: 156.53 kg\n Factor of Safety: 1.08\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": 156.52845813374458, + "fos_buckling": 1.0830775579714036, + "fos_yielding": 3.429761530460172, + "deflection": 0.010517048583629207, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2936": { + "node_id": "node_2936", + "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n Mass: 161.40 kg\n Factor of Safety: 1.08\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": 161.39591436589623, + "fos_buckling": 1.0793980334606434, + "fos_yielding": 3.46661574345807, + "deflection": 0.010142026631787659, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.318)" + }, + "parent_node_id": "node_2935", + "improvement_over_parent": null + }, + "node_2937": { + "node_id": "node_2937", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 183.56 kg\n Factor of Safety: 1.20\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": 183.5603949415097, + "fos_buckling": 1.203788001569602, + "fos_yielding": 3.9383044626158235, + "deflection": 0.00893552944831104, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_2936", + "improvement_over_parent": null + }, + "node_2938": { + "node_id": "node_2938", + "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 188.70 kg\n Factor of Safety: 1.34\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": 188.69829324902966, + "fos_buckling": 1.339492917106582, + "fos_yielding": 3.9356032565609467, + "deflection": 0.00846217584147072, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.414)" + }, + "parent_node_id": "node_2937", + "improvement_over_parent": null + }, + "node_2939": { + "node_id": "node_2939", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 221.25 kg\n Factor of Safety: 1.52\n Max Deflection: 7.24e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 221.24618594913014, + "fos_buckling": 1.5239669157547038, + "fos_yielding": 4.6075905730363536, + "deflection": 0.007242131792905737, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_2938", + "improvement_over_parent": null + }, + "node_2940": { + "node_id": "node_2940", + "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.71 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.70728895991581, + "fos_buckling": 1.5260706882303694, + "fos_yielding": 4.60517429722554, + "deflection": 0.006966573120042835, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.330)" + }, + "parent_node_id": "node_2939", + "improvement_over_parent": null + }, + "node_2941": { + "node_id": "node_2941", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2940", + "improvement_over_parent": null + }, + "node_2942": { + "node_id": "node_2942", + "content": "INITIAL DESIGN (Trace 428)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0040)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0023)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0014)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0041)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0037)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0028)]\n\nPerformance:\n Mass: 107.97 kg\n Factor of Safety: 0.65\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.973512285903, + "fos_buckling": 0.6483435347922052, + "fos_yielding": 2.4290715303502686, + "deflection": 0.01474220792167249, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2943": { + "node_id": "node_2943", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0036)]\n\nPerformance:\n Mass: 139.38 kg\n Factor of Safety: 0.82\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.37586800623168, + "fos_buckling": 0.82209036570691, + "fos_yielding": 3.1286883249000117, + "deflection": 0.01145558219478363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_2942", + "improvement_over_parent": null + }, + "node_2944": { + "node_id": "node_2944", + "content": "MODIFICATION: Increase 5 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0036)]\n\nPerformance:\n Mass: 139.83 kg\n Factor of Safety: 0.83\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": 139.8280579818369, + "fos_buckling": 0.8324906618425956, + "fos_yielding": 3.1213539411471136, + "deflection": 0.011315788535829704, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.408)" + }, + "parent_node_id": "node_2943", + "improvement_over_parent": null + }, + "node_2945": { + "node_id": "node_2945", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n Mass: 164.45 kg\n Factor of Safety: 0.97\n Max Deflection: 9.65e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.445486836079, + "fos_buckling": 0.9651330018252585, + "fos_yielding": 3.6646795876940375, + "deflection": 0.00964611941914134, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_2944", + "improvement_over_parent": null + }, + "node_2946": { + "node_id": "node_2946", + "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n Mass: 168.52 kg\n Factor of Safety: 1.00\n Max Deflection: 9.45e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.51660831243132, + "fos_buckling": 1.0043303473172973, + "fos_yielding": 3.636979740671924, + "deflection": 0.0094549997661583, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.272)" + }, + "parent_node_id": "node_2945", + "improvement_over_parent": null + }, + "node_2947": { + "node_id": "node_2947", + "content": "MODIFICATION: Increase 10 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 176.84 kg\n Factor of Safety: 1.12\n Max Deflection: 8.89e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.84237328562523, + "fos_buckling": 1.1224689018668994, + "fos_yielding": 3.700642053732008, + "deflection": 0.00888861611304659, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.497)" + }, + "parent_node_id": "node_2946", + "improvement_over_parent": null + }, + "node_2948": { + "node_id": "node_2948", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 220.28 kg\n Factor of Safety: 1.36\n Max Deflection: 7.17e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.27630054010436, + "fos_buckling": 1.363204772747944, + "fos_yielding": 4.600522215419424, + "deflection": 0.007170648691854772, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_2947", + "improvement_over_parent": null + }, + "node_2949": { + "node_id": "node_2949", + "content": "MODIFICATION: Increase 2 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.51 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.5112731645211, + "fos_buckling": 1.5251339450872845, + "fos_yielding": 4.602040450834037, + "deflection": 0.00697268783668016, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.534)" + }, + "parent_node_id": "node_2948", + "improvement_over_parent": null + }, + "node_2950": { + "node_id": "node_2950", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2949", + "improvement_over_parent": null + }, + "node_2951": { + "node_id": "node_2951", + "content": "INITIAL DESIGN (Trace 429)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 125.25 kg\n Factor of Safety: 1.31\n Max Deflection: 1.04e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.25144240932036, + "fos_buckling": 1.3113573777581662, + "fos_yielding": 3.4624419246472784, + "deflection": 104028374742750.64, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2952": { + "node_id": "node_2952", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n\nPerformance:\n Mass: 144.03 kg\n Factor of Safety: 0.38\n Max Deflection: 6.17e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.0309079812996, + "fos_buckling": 0.37906700928797105, + "fos_yielding": 3.093344563705565, + "deflection": 61673838248245.695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005835)" + }, + "parent_node_id": "node_2951", + "improvement_over_parent": null + }, + "node_2953": { + "node_id": "node_2953", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 166.07 kg\n Factor of Safety: 0.13\n Max Deflection: 1.55e+14 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.07055729861744, + "fos_buckling": 0.1253289904750182, + "fos_yielding": 1.2801789977574314, + "deflection": 155066755918573.22, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_2952", + "improvement_over_parent": null + }, + "node_2954": { + "node_id": "node_2954", + "content": "MODIFICATION: Increase 5 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0093)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 172.80 kg\n Factor of Safety: 0.21\n Max Deflection: 2.25e+14 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.79857059616717, + "fos_buckling": 0.21341724602500464, + "fos_yielding": 1.1706788448631869, + "deflection": 224531269626992.16, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.304)" + }, + "parent_node_id": "node_2953", + "improvement_over_parent": null + }, + "node_2955": { + "node_id": "node_2955", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0093)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 198.42 kg\n Factor of Safety: 0.51\n Max Deflection: 3.40e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.41509950546177, + "fos_buckling": 0.5098507276621895, + "fos_yielding": 4.259102355635986, + "deflection": 0.034045878893644535, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_2954", + "improvement_over_parent": null + }, + "node_2956": { + "node_id": "node_2956", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0093)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 200.80 kg\n Factor of Safety: 0.62\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.79978181704791, + "fos_buckling": 0.6152977922012705, + "fos_yielding": 3.6282081939532014, + "deflection": 0.011900412413146572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_2955", + "improvement_over_parent": null + }, + "node_2957": { + "node_id": "node_2957", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0093)]\n M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 233.19 kg\n Factor of Safety: 1.34\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": 233.1934014571662, + "fos_buckling": 1.3383569377379858, + "fos_yielding": 3.598761633180489, + "deflection": 0.006955098643658339, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_2956", + "improvement_over_parent": null + }, + "node_2958": { + "node_id": "node_2958", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2957", + "improvement_over_parent": null + }, + "node_2959": { + "node_id": "node_2959", + "content": "INITIAL DESIGN (Trace 430)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n Mass: 121.84 kg\n Factor of Safety: 0.64\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": 121.83544593375487, + "fos_buckling": 0.6373189835343185, + "fos_yielding": 3.06734081147582, + "deflection": 0.017542944830553738, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2960": { + "node_id": "node_2960", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n Mass: 154.53 kg\n Factor of Safety: 0.78\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": 154.526860410928, + "fos_buckling": 0.7832208453777681, + "fos_yielding": 3.8817640314678883, + "deflection": 0.013857555328240522, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_2959", + "improvement_over_parent": null + }, + "node_2961": { + "node_id": "node_2961", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n\nPerformance:\n Mass: 171.33 kg\n Factor of Safety: 0.80\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.3262405551161, + "fos_buckling": 0.7959855377293232, + "fos_yielding": 3.905230217385522, + "deflection": 0.013887045337039867, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005117)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n\nPerformance:\n Mass: 173.14 kg\n Factor of Safety: 1.22\n Max Deflection: 9.11e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.13960954553744, + "fos_buckling": 1.218181998835462, + "fos_yielding": 3.508566918500576, + "deflection": 0.009106353708581403, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002814)" + }, + "parent_node_id": "node_2961", + "improvement_over_parent": null + }, + "node_2963": { + "node_id": "node_2963", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n\nPerformance:\n Mass: 202.03 kg\n Factor of Safety: 1.39\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": 202.03412747934632, + "fos_buckling": 1.3858037663136964, + "fos_yielding": 4.090088862130488, + "deflection": 0.007829432028252592, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_2962", + "improvement_over_parent": null + }, + "node_2964": { + "node_id": "node_2964", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.77 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.7740609328683, + "fos_buckling": 1.5267490042754273, + "fos_yielding": 4.607164597632703, + "deflection": 0.006964765994170922, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_2963", + "improvement_over_parent": null + }, + "node_2965": { + "node_id": "node_2965", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2964", + "improvement_over_parent": null + }, + "node_2966": { + "node_id": "node_2966", + "content": "INITIAL DESIGN (Trace 431)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 132.38 kg\n Factor of Safety: 0.77\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": 132.3846686431874, + "fos_buckling": 0.7662153138528194, + "fos_yielding": 3.1678291556795726, + "deflection": 0.013986074193498964, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2967": { + "node_id": "node_2967", + "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 132.91 kg\n Factor of Safety: 0.77\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.91033097146826, + "fos_buckling": 0.7662153138528194, + "fos_yielding": 3.705814249299096, + "deflection": 0.013986074193498964, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.181)" + }, + "parent_node_id": "node_2966", + "improvement_over_parent": null + }, + "node_2968": { + "node_id": "node_2968", + "content": "MODIFICATION: Increase 2 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0037)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 135.45 kg\n Factor of Safety: 0.77\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.45489668241328, + "fos_buckling": 0.7659579509049279, + "fos_yielding": 3.705814249299096, + "deflection": 0.013844324697956366, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.203)" + }, + "parent_node_id": "node_2967", + "improvement_over_parent": null + }, + "node_2969": { + "node_id": "node_2969", + "content": "MODIFICATION: Increase 1 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 141.61 kg\n Factor of Safety: 0.77\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": 141.61474296875576, + "fos_buckling": 0.7653356458335026, + "fos_yielding": 3.705814249299096, + "deflection": 0.012335060687757976, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.462)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n Mass: 159.70 kg\n Factor of Safety: 1.16\n Max Deflection: 9.95e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.69752421066877, + "fos_buckling": 1.1605232519640338, + "fos_yielding": 3.3226021599362254, + "deflection": 0.009946835759260978, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004994)" + }, + "parent_node_id": "node_2969", + "improvement_over_parent": null + }, + "node_2971": { + "node_id": "node_2971", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n Mass: 197.76 kg\n Factor of Safety: 1.39\n Max Deflection: 8.07e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.75780442223976, + "fos_buckling": 1.3884620561416317, + "fos_yielding": 4.1075770936293425, + "deflection": 0.00806539585809443, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_2970", + "improvement_over_parent": null + }, + "node_2972": { + "node_id": "node_2972", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 222.11 kg\n Factor of Safety: 1.52\n Max Deflection: 7.20e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 222.10789418860082, + "fos_buckling": 1.5247335008564378, + "fos_yielding": 4.608344323209519, + "deflection": 0.007199872669450107, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_2971", + "improvement_over_parent": null + }, + "node_2973": { + "node_id": "node_2973", + "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.79 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.78757635199338, + "fos_buckling": 1.5265107466762295, + "fos_yielding": 4.6062632904121115, + "deflection": 0.006964217780485921, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.280)" + }, + "parent_node_id": "node_2972", + "improvement_over_parent": null + }, + "node_2974": { + "node_id": "node_2974", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2973", + "improvement_over_parent": null + }, + "node_2975": { + "node_id": "node_2975", + "content": "INITIAL DESIGN (Trace 432)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 190.08 kg\n Factor of Safety: 0.86\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": 190.08305757731264, + "fos_buckling": 0.8645294639451073, + "fos_yielding": 4.418528655755839, + "deflection": 0.013052457314159821, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2976": { + "node_id": "node_2976", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n\nPerformance:\n Mass: 192.16 kg\n Factor of Safety: 1.36\n Max Deflection: 8.32e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.15832488955573, + "fos_buckling": 1.3628739411234132, + "fos_yielding": 3.96537192191479, + "deflection": 0.008323150404579068, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003254)" + }, + "parent_node_id": "node_2975", + "improvement_over_parent": null + }, + "node_2977": { + "node_id": "node_2977", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 220.92 kg\n Factor of Safety: 1.53\n Max Deflection: 7.26e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 220.91756149449816, + "fos_buckling": 1.5255299628633883, + "fos_yielding": 4.553406333244369, + "deflection": 0.007261477757429452, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_2976", + "improvement_over_parent": null + }, + "node_2978": { + "node_id": "node_2978", + "content": "MODIFICATION: Increase 1 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.62858834682623, + "fos_buckling": 1.5262060792125332, + "fos_yielding": 4.604348555539275, + "deflection": 0.006969144703223503, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.342)" + }, + "parent_node_id": "node_2977", + "improvement_over_parent": null + }, + "node_2979": { + "node_id": "node_2979", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2978", + "improvement_over_parent": null + }, + "node_2980": { + "node_id": "node_2980", + "content": "INITIAL DESIGN (Trace 433)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0029)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n\nPerformance:\n Mass: 120.87 kg\n Factor of Safety: 0.68\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.8653985263506, + "fos_buckling": 0.6752427714996019, + "fos_yielding": 3.2760199340856246, + "deflection": 0.018839416286917075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2981": { + "node_id": "node_2981", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0029)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0050)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n\nPerformance:\n Mass: 122.39 kg\n Factor of Safety: 0.67\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.39069914913367, + "fos_buckling": 0.6749704109689583, + "fos_yielding": 2.88431898142757, + "deflection": 0.01446252989086664, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002341)" + }, + "parent_node_id": "node_2980", + "improvement_over_parent": null + }, + "node_2982": { + "node_id": "node_2982", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n\nPerformance:\n Mass: 135.76 kg\n Factor of Safety: 0.74\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": 135.75943754646744, + "fos_buckling": 0.7384310378036718, + "fos_yielding": 3.197345793104589, + "deflection": 0.013058137241589586, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_2981", + "improvement_over_parent": null + }, + "node_2983": { + "node_id": "node_2983", + "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n\nPerformance:\n Mass: 139.36 kg\n Factor of Safety: 0.74\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.36160258226803, + "fos_buckling": 0.7380801026044429, + "fos_yielding": 3.2331973413715303, + "deflection": 0.012651183830439207, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.302)" + }, + "parent_node_id": "node_2982", + "improvement_over_parent": null + }, + "node_2984": { + "node_id": "node_2984", + "content": "MODIFICATION: Increase 1 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n\nPerformance:\n Mass: 143.29 kg\n Factor of Safety: 0.74\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.28573882597263, + "fos_buckling": 0.7376981792900981, + "fos_yielding": 3.2609456337871685, + "deflection": 0.012343323942687709, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.259)" + }, + "parent_node_id": "node_2983", + "improvement_over_parent": null + }, + "node_2985": { + "node_id": "node_2985", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n\nPerformance:\n Mass: 161.47 kg\n Factor of Safety: 1.15\n Max Deflection: 9.75e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.46531754389872, + "fos_buckling": 1.1474846317698673, + "fos_yielding": 3.2729551534525827, + "deflection": 0.009752047264786382, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004967)" + }, + "parent_node_id": "node_2984", + "improvement_over_parent": null + }, + "node_2986": { + "node_id": "node_2986", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n\nPerformance:\n Mass: 188.73 kg\n Factor of Safety: 1.31\n Max Deflection: 8.37e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.73328874490224, + "fos_buckling": 1.3097398078520153, + "fos_yielding": 3.8221554905280386, + "deflection": 0.00836879220953308, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_2985", + "improvement_over_parent": null + }, + "node_2987": { + "node_id": "node_2987", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.41 kg\n Factor of Safety: 1.52\n Max Deflection: 6.98e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.4056741514753, + "fos_buckling": 1.5246276575127158, + "fos_yielding": 4.599314998170571, + "deflection": 0.006975865076276395, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_2986", + "improvement_over_parent": null + }, + "node_2988": { + "node_id": "node_2988", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2987", + "improvement_over_parent": null + }, + "node_2989": { + "node_id": "node_2989", + "content": "INITIAL DESIGN (Trace 434)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 168.90 kg\n Factor of Safety: 0.63\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.90454923757997, + "fos_buckling": 0.6318243357599889, + "fos_yielding": 3.5150509872502353, + "deflection": 0.014765252145477812, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2990": { + "node_id": "node_2990", + "content": "MODIFICATION: Increase 6 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 176.09 kg\n Factor of Safety: 0.81\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": 176.0911721061016, + "fos_buckling": 0.8111852239562315, + "fos_yielding": 3.583348963519704, + "deflection": 0.01344790326041231, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.422)" + }, + "parent_node_id": "node_2989", + "improvement_over_parent": null + }, + "node_2991": { + "node_id": "node_2991", + "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 177.01 kg\n Factor of Safety: 0.82\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.01330574135963, + "fos_buckling": 0.8181513140156944, + "fos_yielding": 4.0343516271448845, + "deflection": 0.013447209211126429, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.393)" + }, + "parent_node_id": "node_2990", + "improvement_over_parent": null + }, + "node_2992": { + "node_id": "node_2992", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 225.23 kg\n Factor of Safety: 1.00\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": 225.22781269661525, + "fos_buckling": 0.9992448994170627, + "fos_yielding": 5.123159541126337, + "deflection": 0.010601259634660479, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_2991", + "improvement_over_parent": null + }, + "node_2993": { + "node_id": "node_2993", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6124950082014, + "fos_buckling": 1.5259808806890216, + "fos_yielding": 4.60424517678519, + "deflection": 0.006969571554034112, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_2992", + "improvement_over_parent": null + }, + "node_2994": { + "node_id": "node_2994", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2993", + "improvement_over_parent": null + }, + "node_2995": { + "node_id": "node_2995", + "content": "INITIAL DESIGN (Trace 435)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0049)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n Mass: 139.17 kg\n Factor of Safety: 0.66\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": 139.170275407068, + "fos_buckling": 0.6644937926886785, + "fos_yielding": 2.98448140318889, + "deflection": 0.01418979073934998, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2996": { + "node_id": "node_2996", + "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n Mass: 143.05 kg\n Factor of Safety: 0.77\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": 143.0473848976686, + "fos_buckling": 0.7743246602940693, + "fos_yielding": 2.98448140318889, + "deflection": 0.013487836084187743, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.203)" + }, + "parent_node_id": "node_2995", + "improvement_over_parent": null + }, + "node_2997": { + "node_id": "node_2997", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n\nPerformance:\n Mass: 162.26 kg\n Factor of Safety: 0.86\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": 162.2641532488708, + "fos_buckling": 0.8570376152836306, + "fos_yielding": 2.5167017122687407, + "deflection": 0.010092849502357382, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005270)" + }, + "parent_node_id": "node_2996", + "improvement_over_parent": null + }, + "node_2998": { + "node_id": "node_2998", + "content": "MODIFICATION: Increase 4 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n\nPerformance:\n Mass: 163.46 kg\n Factor of Safety: 1.15\n Max Deflection: 9.86e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.46408945315056, + "fos_buckling": 1.1521243889240769, + "fos_yielding": 3.46337414346406, + "deflection": 0.009855053697784421, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.616)" + }, + "parent_node_id": "node_2997", + "improvement_over_parent": null + }, + "node_2999": { + "node_id": "node_2999", + "content": "MODIFICATION: Increase 0 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0053)]\n\nPerformance:\n Mass: 170.76 kg\n Factor of Safety: 1.20\n Max Deflection: 9.23e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.76043427245315, + "fos_buckling": 1.2039181682724462, + "fos_yielding": 3.460529272319419, + "deflection": 0.009230682090582384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.570)" + }, + "parent_node_id": "node_2998", + "improvement_over_parent": null + }, + "node_3000": { + "node_id": "node_3000", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n\nPerformance:\n Mass: 204.88 kg\n Factor of Safety: 1.40\n Max Deflection: 7.72e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.88443637438536, + "fos_buckling": 1.4017815044823796, + "fos_yielding": 4.147268595764325, + "deflection": 0.007722929337982529, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_2999", + "improvement_over_parent": null + }, + "node_3001": { + "node_id": "node_3001", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63024108928167, + "fos_buckling": 1.525965758819621, + "fos_yielding": 4.604143021417879, + "deflection": 0.006969003281449622, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_3000", + "improvement_over_parent": null + }, + "node_3002": { + "node_id": "node_3002", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3001", + "improvement_over_parent": null + }, + "node_3003": { + "node_id": "node_3003", + "content": "INITIAL DESIGN (Trace 436)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n Mass: 128.17 kg\n Factor of Safety: 0.44\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.1725504834413, + "fos_buckling": 0.4377996005924593, + "fos_yielding": 2.683389682305763, + "deflection": 0.017583630456608365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3004": { + "node_id": "node_3004", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 149.11 kg\n Factor of Safety: 0.50\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.10634956768513, + "fos_buckling": 0.49789299681185384, + "fos_yielding": 3.1168581694842814, + "deflection": 0.015155323673856467, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_3003", + "improvement_over_parent": null + }, + "node_3005": { + "node_id": "node_3005", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 170.75 kg\n Factor of Safety: 1.13\n Max Deflection: 9.16e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.7485900572675, + "fos_buckling": 1.1306215416989738, + "fos_yielding": 3.6897223153800374, + "deflection": 0.009156908141952975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005204)" + }, + "parent_node_id": "node_3004", + "improvement_over_parent": null + }, + "node_3006": { + "node_id": "node_3006", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 211.61 kg\n Factor of Safety: 1.36\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": 211.6063707561162, + "fos_buckling": 1.3589785359455506, + "fos_yielding": 4.561032080156719, + "deflection": 0.007423551583930095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_3005", + "improvement_over_parent": null + }, + "node_3007": { + "node_id": "node_3007", + "content": "MODIFICATION: Increase 8 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 218.48 kg\n Factor of Safety: 1.36\n Max Deflection: 7.27e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.48360250529242, + "fos_buckling": 1.355617815282709, + "fos_yielding": 4.56191261588929, + "deflection": 0.007271045062923892, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.403)" + }, + "parent_node_id": "node_3006", + "improvement_over_parent": null + }, + "node_3008": { + "node_id": "node_3008", + "content": "MODIFICATION: Increase 10 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 224.34 kg\n Factor of Safety: 1.49\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.33683629381179, + "fos_buckling": 1.493857948480147, + "fos_yielding": 4.601476591542912, + "deflection": 0.007045769872625344, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.239)" + }, + "parent_node_id": "node_3007", + "improvement_over_parent": null + }, + "node_3009": { + "node_id": "node_3009", + "content": "MODIFICATION: Increase 2 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.49 kg\n Factor of Safety: 1.52\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.48801041077334, + "fos_buckling": 1.5248984161085934, + "fos_yielding": 4.602001961671192, + "deflection": 0.00697314150581409, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.183)" + }, + "parent_node_id": "node_3008", + "improvement_over_parent": null + }, + "node_3010": { + "node_id": "node_3010", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3009", + "improvement_over_parent": null + }, + "node_3011": { + "node_id": "node_3011", + "content": "INITIAL DESIGN (Trace 437)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 171.92 kg\n Factor of Safety: 0.98\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": 171.91578751192938, + "fos_buckling": 0.9848196383197423, + "fos_yielding": 5.1437712751673565, + "deflection": 0.011776048839976351, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3012": { + "node_id": "node_3012", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 197.53 kg\n Factor of Safety: 1.00\n Max Deflection: 9.79e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.53231642122398, + "fos_buckling": 1.004856289819246, + "fos_yielding": 5.1437712751673565, + "deflection": 0.009787535957603729, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_3011", + "improvement_over_parent": null + }, + "node_3013": { + "node_id": "node_3013", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 219.19 kg\n Factor of Safety: 1.50\n Max Deflection: 7.36e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.19161269807142, + "fos_buckling": 1.4970025830179579, + "fos_yielding": 4.536287993193287, + "deflection": 0.0073604128285163235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_3012", + "improvement_over_parent": null + }, + "node_3014": { + "node_id": "node_3014", + "content": "MODIFICATION: Increase 1 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.61260414594318, + "fos_buckling": 1.5261575938078855, + "fos_yielding": 4.604097186830015, + "deflection": 0.006969642931261513, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.466)" + }, + "parent_node_id": "node_3013", + "improvement_over_parent": null + }, + "node_3015": { + "node_id": "node_3015", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3014", + "improvement_over_parent": null + }, + "node_3016": { + "node_id": "node_3016", + "content": "INITIAL DESIGN (Trace 438)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0035)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n\nPerformance:\n Mass: 132.41 kg\n Factor of Safety: 0.35\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.4089432537758, + "fos_buckling": 0.345508456417417, + "fos_yielding": 2.048599349616039, + "deflection": 0.018997605021548628, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3017": { + "node_id": "node_3017", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 147.75 kg\n Factor of Safety: 0.38\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.7453409535055, + "fos_buckling": 0.381420901945006, + "fos_yielding": 2.288343123004378, + "deflection": 0.01704426619263048, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_3016", + "improvement_over_parent": null + }, + "node_3018": { + "node_id": "node_3018", + "content": "MODIFICATION: Increase 3 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 151.81 kg\n Factor of Safety: 0.49\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.80825156527345, + "fos_buckling": 0.485251693372454, + "fos_yielding": 2.2874282980551195, + "deflection": 0.015731735232554302, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.337)" + }, + "parent_node_id": "node_3017", + "improvement_over_parent": null + }, + "node_3019": { + "node_id": "node_3019", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 177.49 kg\n Factor of Safety: 1.06\n Max Deflection: 8.97e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.48740483418385, + "fos_buckling": 1.0561465042006786, + "fos_yielding": 2.749089329861901, + "deflection": 0.008965929571527094, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006245)" + }, + "parent_node_id": "node_3018", + "improvement_over_parent": null + }, + "node_3020": { + "node_id": "node_3020", + "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 178.45 kg\n Factor of Safety: 1.25\n Max Deflection: 8.84e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.4494509306607, + "fos_buckling": 1.2492786585720688, + "fos_yielding": 3.6152877891115716, + "deflection": 0.008840858442771111, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.346)" + }, + "parent_node_id": "node_3019", + "improvement_over_parent": null + }, + "node_3021": { + "node_id": "node_3021", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.86 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.86295336304974, + "fos_buckling": 1.526720281514826, + "fos_yielding": 4.60866296814395, + "deflection": 0.006962251339451963, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_3020", + "improvement_over_parent": null + }, + "node_3022": { + "node_id": "node_3022", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3021", + "improvement_over_parent": null + }, + "node_3023": { + "node_id": "node_3023", + "content": "INITIAL DESIGN (Trace 439)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 124.22 kg\n Factor of Safety: 0.47\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": 124.21697910836488, + "fos_buckling": 0.47239804471060043, + "fos_yielding": 2.2360115155944134, + "deflection": 0.01916786204959563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3024": { + "node_id": "node_3024", + "content": "MODIFICATION: Increase 3 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 125.10 kg\n Factor of Safety: 0.47\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.09628505766207, + "fos_buckling": 0.4723980447106004, + "fos_yielding": 3.096368519056623, + "deflection": 0.018724330384177007, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.410)" + }, + "parent_node_id": "node_3023", + "improvement_over_parent": null + }, + "node_3025": { + "node_id": "node_3025", + "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 125.64 kg\n Factor of Safety: 0.47\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.63983487109124, + "fos_buckling": 0.47233016755211216, + "fos_yielding": 3.096227735458942, + "deflection": 0.01842540904579036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.490)" + }, + "parent_node_id": "node_3024", + "improvement_over_parent": null + }, + "node_3026": { + "node_id": "node_3026", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n\nPerformance:\n Mass: 149.09 kg\n Factor of Safety: 0.77\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.08646879389786, + "fos_buckling": 0.7682587013158235, + "fos_yielding": 3.7259922643073953, + "deflection": 0.011956959131617251, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005704)" + }, + "parent_node_id": "node_3025", + "improvement_over_parent": null + }, + "node_3027": { + "node_id": "node_3027", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n Mass: 179.66 kg\n Factor of Safety: 0.90\n Max Deflection: 9.96e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.65954790981579, + "fos_buckling": 0.89870178538063, + "fos_yielding": 4.488320487654058, + "deflection": 0.009959053437865493, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_3026", + "improvement_over_parent": null + }, + "node_3028": { + "node_id": "node_3028", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 205.83 kg\n Factor of Safety: 1.00\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.82634673363265, + "fos_buckling": 1.003209517349294, + "fos_yielding": 5.140305482313625, + "deflection": 0.00872047461911914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_3027", + "improvement_over_parent": null + }, + "node_3029": { + "node_id": "node_3029", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.49 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.4856430104801, + "fos_buckling": 1.5252479109913508, + "fos_yielding": 4.601054494336838, + "deflection": 0.006973642597599809, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_3028", + "improvement_over_parent": null + }, + "node_3030": { + "node_id": "node_3030", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3029", + "improvement_over_parent": null + }, + "node_3031": { + "node_id": "node_3031", + "content": "INITIAL DESIGN (Trace 440)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0033)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0019)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0027)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0035)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0040)]\n\nPerformance:\n Mass: 103.54 kg\n Factor of Safety: 0.57\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 103.53599126293386, + "fos_buckling": 0.5657263060713418, + "fos_yielding": 2.633580754098844, + "deflection": 0.016835940474858715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3032": { + "node_id": "node_3032", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n Mass: 135.97 kg\n Factor of Safety: 0.72\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": 135.96680279740895, + "fos_buckling": 0.7202249712379036, + "fos_yielding": 3.4572094917977148, + "deflection": 0.012871268301582209, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_3031", + "improvement_over_parent": null + }, + "node_3033": { + "node_id": "node_3033", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n\nPerformance:\n Mass: 152.82 kg\n Factor of Safety: 1.09\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": 152.81765544815698, + "fos_buckling": 1.0942349708878985, + "fos_yielding": 3.0991634510040535, + "deflection": 0.010293312325288299, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004633)" + }, + "parent_node_id": "node_3032", + "improvement_over_parent": null + }, + "node_3034": { + "node_id": "node_3034", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 187.87 kg\n Factor of Safety: 1.30\n Max Deflection: 8.41e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.86506374320106, + "fos_buckling": 1.3047951433269034, + "fos_yielding": 3.8053998093909978, + "deflection": 0.008406233790596141, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_3033", + "improvement_over_parent": null + }, + "node_3035": { + "node_id": "node_3035", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.72 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.72363653392486, + "fos_buckling": 1.526407981062342, + "fos_yielding": 4.606546378298567, + "deflection": 0.00696603928692738, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_3034", + "improvement_over_parent": null + }, + "node_3036": { + "node_id": "node_3036", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3035", + "improvement_over_parent": null + }, + "node_3037": { + "node_id": "node_3037", + "content": "INITIAL DESIGN (Trace 441)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 123.05 kg\n Factor of Safety: 0.37\n Max Deflection: 4.49e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.05452035099287, + "fos_buckling": 0.37367413332540456, + "fos_yielding": 3.967997333565327, + "deflection": 44925909496999.99, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3038": { + "node_id": "node_3038", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 147.93 kg\n Factor of Safety: 0.35\n Max Deflection: 5.17e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.93009640525597, + "fos_buckling": 0.3458046716448246, + "fos_yielding": 3.828063408493079, + "deflection": 51673722360006.4, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_3037", + "improvement_over_parent": null + }, + "node_3039": { + "node_id": "node_3039", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 169.59 kg\n Factor of Safety: 0.50\n Max Deflection: 4.22e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.58939268210338, + "fos_buckling": 0.5014227643576842, + "fos_yielding": 6.266573927403113, + "deflection": 42172827961321.62, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_3038", + "improvement_over_parent": null + }, + "node_3040": { + "node_id": "node_3040", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 201.98 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.98301232222167, + "fos_buckling": 0.9809277395775607, + "fos_yielding": 4.586858874363933, + "deflection": 0.0088184741525687, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_3039", + "improvement_over_parent": null + }, + "node_3041": { + "node_id": "node_3041", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.60 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.59954123151627, + "fos_buckling": 1.5257598658900406, + "fos_yielding": 4.6032484366747335, + "deflection": 0.0069700205470214355, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_3040", + "improvement_over_parent": null + }, + "node_3042": { + "node_id": "node_3042", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3041", + "improvement_over_parent": null + }, + "node_3043": { + "node_id": "node_3043", + "content": "INITIAL DESIGN (Trace 442)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n Mass: 136.87 kg\n Factor of Safety: 0.15\n Max Deflection: 6.04e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.8667850117342, + "fos_buckling": 0.15109144008310132, + "fos_yielding": 1.690453759126872, + "deflection": 60360975468196.88, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3044": { + "node_id": "node_3044", + "content": "MODIFICATION: Increase 4 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n Mass: 138.11 kg\n Factor of Safety: 0.15\n Max Deflection: 6.04e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.1117686364372, + "fos_buckling": 0.15109144008310132, + "fos_yielding": 1.706905330343242, + "deflection": 60360975468196.91, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.447)" + }, + "parent_node_id": "node_3043", + "improvement_over_parent": null + }, + "node_3045": { + "node_id": "node_3045", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 163.35 kg\n Factor of Safety: 0.12\n Max Deflection: 8.99e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.3545909792338, + "fos_buckling": 0.12196003039305592, + "fos_yielding": 1.7069053303432422, + "deflection": 89934314252572.86, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_3044", + "improvement_over_parent": null + }, + "node_3046": { + "node_id": "node_3046", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 165.74 kg\n Factor of Safety: 0.02\n Max Deflection: 2.81e+14 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.73927329081994, + "fos_buckling": 0.019382455409087004, + "fos_yielding": 0.11421485438818452, + "deflection": 281234182379841.25, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_3045", + "improvement_over_parent": null + }, + "node_3047": { + "node_id": "node_3047", + "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 173.11 kg\n Factor of Safety: 1.25\n Max Deflection: 4.17e+13 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.1078532354065, + "fos_buckling": 1.247969654349583, + "fos_yielding": 4.766098590562941, + "deflection": 41712162000029.664, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.387)" + }, + "parent_node_id": "node_3046", + "improvement_over_parent": null + }, + "node_3048": { + "node_id": "node_3048", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.89 kg\n Factor of Safety: 1.00\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.885447978292, + "fos_buckling": 1.0037622916980908, + "fos_yielding": 5.137021427939081, + "deflection": 0.008716205240686378, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_3047", + "improvement_over_parent": null + }, + "node_3049": { + "node_id": "node_3049", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.54 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.54474425513945, + "fos_buckling": 1.5256480369195735, + "fos_yielding": 4.598372038797815, + "deflection": 0.006971545272144394, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_3048", + "improvement_over_parent": null + }, + "node_3050": { + "node_id": "node_3050", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3049", + "improvement_over_parent": null + }, + "node_3051": { + "node_id": "node_3051", + "content": "INITIAL DESIGN (Trace 443)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 132.81 kg\n Factor of Safety: 0.69\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": 132.809904176875, + "fos_buckling": 0.6907735763076376, + "fos_yielding": 3.023732869979309, + "deflection": 0.013299941120195382, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3052": { + "node_id": "node_3052", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n\nPerformance:\n Mass: 149.65 kg\n Factor of Safety: 1.07\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": 149.64927503468323, + "fos_buckling": 1.0745182946900764, + "fos_yielding": 3.034926183963556, + "deflection": 0.010507769874700007, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004579)" + }, + "parent_node_id": "node_3051", + "improvement_over_parent": null + }, + "node_3053": { + "node_id": "node_3053", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n\nPerformance:\n Mass: 191.55 kg\n Factor of Safety: 1.33\n Max Deflection: 8.25e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.54806313288498, + "fos_buckling": 1.3261287492353497, + "fos_yielding": 3.8791296833244906, + "deflection": 0.008248251311408274, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_3052", + "improvement_over_parent": null + }, + "node_3054": { + "node_id": "node_3054", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.82 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.82038802904168, + "fos_buckling": 1.5269981968984592, + "fos_yielding": 4.60803420081092, + "deflection": 0.0069633438093652114, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_3053", + "improvement_over_parent": null + }, + "node_3055": { + "node_id": "node_3055", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3054", + "improvement_over_parent": null + }, + "node_3056": { + "node_id": "node_3056", + "content": "INITIAL DESIGN (Trace 444)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0040)]\n\nPerformance:\n Mass: 144.40 kg\n Factor of Safety: 0.78\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.40406890104225, + "fos_buckling": 0.7775576207390807, + "fos_yielding": 3.4046808334111267, + "deflection": 0.012206375337875755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3057": { + "node_id": "node_3057", + "content": "MODIFICATION: Increase 9 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0060)]\n\nPerformance:\n Mass: 152.21 kg\n Factor of Safety: 0.78\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.20578961199303, + "fos_buckling": 0.7767585987245214, + "fos_yielding": 3.4626245724424356, + "deflection": 0.01163277913127831, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.493)" + }, + "parent_node_id": "node_3056", + "improvement_over_parent": null + }, + "node_3058": { + "node_id": "node_3058", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 169.27 kg\n Factor of Safety: 0.85\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": 169.2741660444516, + "fos_buckling": 0.8494216259941314, + "fos_yielding": 3.8485392652528168, + "deflection": 0.010481469434991097, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_3057", + "improvement_over_parent": null + }, + "node_3059": { + "node_id": "node_3059", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n\nPerformance:\n Mass: 202.25 kg\n Factor of Safety: 0.98\n Max Deflection: 8.81e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.2531148392401, + "fos_buckling": 0.981778844996222, + "fos_yielding": 4.5928389207662494, + "deflection": 0.008807402669102196, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_3058", + "improvement_over_parent": null + }, + "node_3060": { + "node_id": "node_3060", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.87 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.8696437485347, + "fos_buckling": 1.5278548845441389, + "fos_yielding": 4.609247947618475, + "deflection": 0.006961551107706295, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_3059", + "improvement_over_parent": null + }, + "node_3061": { + "node_id": "node_3061", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3060", + "improvement_over_parent": null + }, + "node_3062": { + "node_id": "node_3062", + "content": "INITIAL DESIGN (Trace 445)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 133.78 kg\n Factor of Safety: 0.70\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": 133.77628429840843, + "fos_buckling": 0.6970135404844994, + "fos_yielding": 3.0584831821412393, + "deflection": 0.013199435164889426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3063": { + "node_id": "node_3063", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n Mass: 153.28 kg\n Factor of Safety: 0.78\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.28211694515838, + "fos_buckling": 0.7835373225891569, + "fos_yielding": 3.501820301595393, + "deflection": 0.011546797211593985, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_3062", + "improvement_over_parent": null + }, + "node_3064": { + "node_id": "node_3064", + "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0060)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n Mass: 153.73 kg\n Factor of Safety: 0.78\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": 153.7323611849662, + "fos_buckling": 0.783444406827603, + "fos_yielding": 3.4974366702173834, + "deflection": 0.011519080511056802, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.353)" + }, + "parent_node_id": "node_3063", + "improvement_over_parent": null + }, + "node_3065": { + "node_id": "node_3065", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0073)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 182.88 kg\n Factor of Safety: 0.91\n Max Deflection: 9.72e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.87797951006237, + "fos_buckling": 0.9053756010842477, + "fos_yielding": 4.156101883510067, + "deflection": 0.009717492142329209, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_3064", + "improvement_over_parent": null + }, + "node_3066": { + "node_id": "node_3066", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0073)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0065)]\n\nPerformance:\n Mass: 206.09 kg\n Factor of Safety: 1.41\n Max Deflection: 7.68e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.08829792540666, + "fos_buckling": 1.408379122138394, + "fos_yielding": 4.17110660284852, + "deflection": 0.007679211105721058, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006460)" + }, + "parent_node_id": "node_3065", + "improvement_over_parent": null + }, + "node_3067": { + "node_id": "node_3067", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.47 kg\n Factor of Safety: 1.52\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.46803389894743, + "fos_buckling": 1.5249664989228702, + "fos_yielding": 4.600494285364211, + "deflection": 0.006974164889552483, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_3066", + "improvement_over_parent": null + }, + "node_3068": { + "node_id": "node_3068", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3067", + "improvement_over_parent": null + }, + "node_3069": { + "node_id": "node_3069", + "content": "INITIAL DESIGN (Trace 446)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n\nPerformance:\n Mass: 152.10 kg\n Factor of Safety: 0.52\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.10490391006329, + "fos_buckling": 0.5166999322856444, + "fos_yielding": 3.2569547258005276, + "deflection": 0.016544290329545214, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3070": { + "node_id": "node_3070", + "content": "MODIFICATION: Increase 9 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n Mass: 158.60 kg\n Factor of Safety: 0.52\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.60277432380832, + "fos_buckling": 0.5162580407674442, + "fos_yielding": 3.254873256195962, + "deflection": 0.014660461425708515, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.477)" + }, + "parent_node_id": "node_3069", + "improvement_over_parent": null + }, + "node_3071": { + "node_id": "node_3071", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 186.26 kg\n Factor of Safety: 1.33\n Max Deflection: 8.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.25815571644165, + "fos_buckling": 1.326868879092858, + "fos_yielding": 3.891322264437279, + "deflection": 0.008579182660178212, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006764)" + }, + "parent_node_id": "node_3070", + "improvement_over_parent": null + }, + "node_3072": { + "node_id": "node_3072", + "content": "MODIFICATION: Increase 0 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0067)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0060)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0068)]\n\nPerformance:\n Mass: 192.04 kg\n Factor of Safety: 1.33\n Max Deflection: 8.23e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.0421578530874, + "fos_buckling": 1.3290054972489513, + "fos_yielding": 3.889211171231038, + "deflection": 0.008227462454009307, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.351)" + }, + "parent_node_id": "node_3071", + "improvement_over_parent": null + }, + "node_3073": { + "node_id": "node_3073", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.54 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.53789580608634, + "fos_buckling": 1.525528983728606, + "fos_yielding": 4.60252821719085, + "deflection": 0.006971747028350688, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_3072", + "improvement_over_parent": null + }, + "node_3074": { + "node_id": "node_3074", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3073", + "improvement_over_parent": null + }, + "node_3075": { + "node_id": "node_3075", + "content": "INITIAL DESIGN (Trace 447)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n Mass: 129.37 kg\n Factor of Safety: 0.09\n Max Deflection: 2.79e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.37323478439805, + "fos_buckling": 0.09302101859638373, + "fos_yielding": 0.22842970877636903, + "deflection": 278886196603618.9, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3076": { + "node_id": "node_3076", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0048)]\n\nPerformance:\n Mass: 145.29 kg\n Factor of Safety: 0.73\n Max Deflection: 3.70e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.29213411314865, + "fos_buckling": 0.7315844439199876, + "fos_yielding": 2.9172469792241027, + "deflection": 36977844037431.18, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_3075", + "improvement_over_parent": null + }, + "node_3077": { + "node_id": "node_3077", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 163.23 kg\n Factor of Safety: 1.25\n Max Deflection: 2.06e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.22569346502584, + "fos_buckling": 1.2537224743030575, + "fos_yielding": 5.152174182889817, + "deflection": 20554477850145.293, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_3076", + "improvement_over_parent": null + }, + "node_3078": { + "node_id": "node_3078", + "content": "MODIFICATION: Increase 8 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 173.19 kg\n Factor of Safety: 0.31\n Max Deflection: 2.32e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.18650885605513, + "fos_buckling": 0.31009798398380595, + "fos_yielding": 1.8274376702109523, + "deflection": 23193852183950.074, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.479)" + }, + "parent_node_id": "node_3077", + "improvement_over_parent": null + }, + "node_3079": { + "node_id": "node_3079", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 195.28 kg\n Factor of Safety: 0.62\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.27765698471543, + "fos_buckling": 0.6161095602822719, + "fos_yielding": 4.262828361427225, + "deflection": 0.01189900815370822, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_3078", + "improvement_over_parent": null + }, + "node_3080": { + "node_id": "node_3080", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.67 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.67127662483372, + "fos_buckling": 1.5258659977441165, + "fos_yielding": 4.605626488294542, + "deflection": 0.006967841036229764, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_3079", + "improvement_over_parent": null + }, + "node_3081": { + "node_id": "node_3081", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3080", + "improvement_over_parent": null + }, + "node_3082": { + "node_id": "node_3082", + "content": "INITIAL DESIGN (Trace 448)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0032)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0028)]\n\nPerformance:\n Mass: 105.83 kg\n Factor of Safety: 0.46\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 105.82954154834088, + "fos_buckling": 0.4628170845949941, + "fos_yielding": 2.5751142001448684, + "deflection": 0.01789229356710901, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3083": { + "node_id": "node_3083", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n\nPerformance:\n Mass: 125.78 kg\n Factor of Safety: 0.54\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.77644791305057, + "fos_buckling": 0.542481026369169, + "fos_yielding": 3.0562649245513853, + "deflection": 0.015080621796326766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_3082", + "improvement_over_parent": null + }, + "node_3084": { + "node_id": "node_3084", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0039)]\n\nPerformance:\n Mass: 142.67 kg\n Factor of Safety: 0.61\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.66622693706998, + "fos_buckling": 0.6080742529591364, + "fos_yielding": 3.462577016405611, + "deflection": 0.013314336745005834, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_3083", + "improvement_over_parent": null + }, + "node_3085": { + "node_id": "node_3085", + "content": "MODIFICATION: Increase 9 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n Mass: 151.52 kg\n Factor of Safety: 0.61\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.51618944712317, + "fos_buckling": 0.6073653622992466, + "fos_yielding": 3.530741669792366, + "deflection": 0.01266495158732205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.580)" + }, + "parent_node_id": "node_3084", + "improvement_over_parent": null + }, + "node_3086": { + "node_id": "node_3086", + "content": "MODIFICATION: Increase 6 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n Mass: 157.91 kg\n Factor of Safety: 0.79\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.9113868185372, + "fos_buckling": 0.7896701405396651, + "fos_yielding": 3.530380267715597, + "deflection": 0.011414065443413954, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.370)" + }, + "parent_node_id": "node_3085", + "improvement_over_parent": null + }, + "node_3087": { + "node_id": "node_3087", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.67 kg\n Factor of Safety: 0.98\n Max Deflection: 8.81e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.67398369255687, + "fos_buckling": 0.9811740169037991, + "fos_yielding": 4.5902225947491075, + "deflection": 0.008813925174983958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_3086", + "improvement_over_parent": null + }, + "node_3088": { + "node_id": "node_3088", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.77 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.76513182121718, + "fos_buckling": 1.5264395104228412, + "fos_yielding": 4.607222989971342, + "deflection": 0.006964905306471713, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_3087", + "improvement_over_parent": null + }, + "node_3089": { + "node_id": "node_3089", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3088", + "improvement_over_parent": null + }, + "node_3090": { + "node_id": "node_3090", + "content": "INITIAL DESIGN (Trace 449)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\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_3091": { + "node_id": "node_3091", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n Mass: 169.29 kg\n Factor of Safety: 0.67\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.29408363072451, + "fos_buckling": 0.6716617777394178, + "fos_yielding": 2.9992765066450486, + "deflection": 0.013036356584433256, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006332)" + }, + "parent_node_id": "node_3090", + "improvement_over_parent": null + }, + "node_3092": { + "node_id": "node_3092", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n\nPerformance:\n Mass: 192.29 kg\n Factor of Safety: 0.73\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.2862472606557, + "fos_buckling": 0.7250289376555883, + "fos_yielding": 3.070806203809106, + "deflection": 0.012938690560100427, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006394)" + }, + "parent_node_id": "node_3091", + "improvement_over_parent": null + }, + "node_3093": { + "node_id": "node_3093", + "content": "MODIFICATION: Increase 6 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n\nPerformance:\n Mass: 200.64 kg\n Factor of Safety: 0.91\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": 200.64175573598297, + "fos_buckling": 0.9095969759473765, + "fos_yielding": 3.0279707720494327, + "deflection": 0.011788221778427574, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.437)" + }, + "parent_node_id": "node_3092", + "improvement_over_parent": null + }, + "node_3094": { + "node_id": "node_3094", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 223.48 kg\n Factor of Safety: 0.99\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.47798422985582, + "fos_buckling": 0.9934577316765564, + "fos_yielding": 3.382124649213963, + "deflection": 0.010599865336326916, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_3093", + "improvement_over_parent": null + }, + "node_3095": { + "node_id": "node_3095", + "content": "MODIFICATION: Increase 5 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 225.20 kg\n Factor of Safety: 1.00\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.20160289196997, + "fos_buckling": 0.9999303069297393, + "fos_yielding": 5.1209909860440685, + "deflection": 0.010600750528041712, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.572)" + }, + "parent_node_id": "node_3094", + "improvement_over_parent": null + }, + "node_3096": { + "node_id": "node_3096", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.59 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.58628520355612, + "fos_buckling": 1.525644624269629, + "fos_yielding": 4.602509931117186, + "deflection": 0.006970246724357153, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_3095", + "improvement_over_parent": null + }, + "node_3097": { + "node_id": "node_3097", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3096", + "improvement_over_parent": null + }, + "node_3098": { + "node_id": "node_3098", + "content": "INITIAL DESIGN (Trace 450)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n\nPerformance:\n Mass: 96.06 kg\n Factor of Safety: 1.04\n Max Deflection: 4.10e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 96.05764225406267, + "fos_buckling": 1.043867384684195, + "fos_yielding": 2.8308217639686566, + "deflection": 41008225781758.35, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3099": { + "node_id": "node_3099", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n\nPerformance:\n Mass: 108.07 kg\n Factor of Safety: 0.36\n Max Deflection: 2.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 108.0700463158639, + "fos_buckling": 0.35883974081480774, + "fos_yielding": 2.1452268047998944, + "deflection": 0.021594249253669918, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003627)" + }, + "parent_node_id": "node_3098", + "improvement_over_parent": null + }, + "node_3100": { + "node_id": "node_3100", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n\nPerformance:\n Mass: 133.02 kg\n Factor of Safety: 0.43\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.0180431354256, + "fos_buckling": 0.4308670380079803, + "fos_yielding": 2.637218044027917, + "deflection": 0.017593098588251456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_3099", + "improvement_over_parent": null + }, + "node_3101": { + "node_id": "node_3101", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n\nPerformance:\n Mass: 150.65 kg\n Factor of Safety: 0.48\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.64648518543018, + "fos_buckling": 0.47936371302022424, + "fos_yielding": 2.9841365081283784, + "deflection": 0.01556490451222392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_3100", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 194.97 kg\n Factor of Safety: 0.59\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.97466016400676, + "fos_buckling": 0.5926328797052007, + "fos_yielding": 3.853845488717784, + "deflection": 0.012085476587423477, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_3101", + "improvement_over_parent": null + }, + "node_3103": { + "node_id": "node_3103", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.75 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.75225490689226, + "fos_buckling": 1.5261506309988886, + "fos_yielding": 4.606971170515762, + "deflection": 0.00696543673734862, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_3102", + "improvement_over_parent": null + }, + "node_3104": { + "node_id": "node_3104", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3103", + "improvement_over_parent": null + }, + "node_3105": { + "node_id": "node_3105", + "content": "INITIAL DESIGN (Trace 451)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0026)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0059)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0066)]\n\nPerformance:\n Mass: 160.69 kg\n Factor of Safety: 0.53\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.6911754515016, + "fos_buckling": 0.5291270999122227, + "fos_yielding": 2.257056999584664, + "deflection": 0.01486334073192508, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3106": { + "node_id": "node_3106", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 193.63 kg\n Factor of Safety: 0.62\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": 193.6329440216362, + "fos_buckling": 0.6159805819586557, + "fos_yielding": 2.731909154383125, + "deflection": 0.012372249938055876, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_3105", + "improvement_over_parent": null + }, + "node_3107": { + "node_id": "node_3107", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 226.03 kg\n Factor of Safety: 1.15\n Max Deflection: 7.12e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.0265636617545, + "fos_buckling": 1.1486289874697346, + "fos_yielding": 3.4673891053183667, + "deflection": 0.007118141462134999, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_3106", + "improvement_over_parent": null + }, + "node_3108": { + "node_id": "node_3108", + "content": "MODIFICATION: Increase 4 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.59 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.59366933721742, + "fos_buckling": 1.5257654063963855, + "fos_yielding": 4.603377293390456, + "deflection": 0.006970161632228327, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.613)" + }, + "parent_node_id": "node_3107", + "improvement_over_parent": null + }, + "node_3109": { + "node_id": "node_3109", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3108", + "improvement_over_parent": null + }, + "node_3110": { + "node_id": "node_3110", + "content": "INITIAL DESIGN (Trace 452)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 164.85 kg\n Factor of Safety: 0.90\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.85155668151273, + "fos_buckling": 0.8989051100386711, + "fos_yielding": 4.572421530005747, + "deflection": 0.014070754660879854, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3111": { + "node_id": "node_3111", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 184.33 kg\n Factor of Safety: 0.98\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": 184.32807081434015, + "fos_buckling": 0.9833694819188605, + "fos_yielding": 5.103669007420093, + "deflection": 0.012587686939418417, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_3110", + "improvement_over_parent": null + }, + "node_3112": { + "node_id": "node_3112", + "content": "MODIFICATION: Increase 1 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0065)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 190.38 kg\n Factor of Safety: 0.98\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": 190.38147624104033, + "fos_buckling": 0.9825889185798095, + "fos_yielding": 5.100990074548415, + "deflection": 0.011598352861671676, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.364)" + }, + "parent_node_id": "node_3111", + "improvement_over_parent": null + }, + "node_3113": { + "node_id": "node_3113", + "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 194.64 kg\n Factor of Safety: 0.98\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.64270028751332, + "fos_buckling": 0.982040192889022, + "fos_yielding": 5.0991059570884145, + "deflection": 0.0111567180608771, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.195)" + }, + "parent_node_id": "node_3112", + "improvement_over_parent": null + }, + "node_3114": { + "node_id": "node_3114", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 197.03 kg\n Factor of Safety: 0.98\n Max Deflection: 9.37e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.02738259909947, + "fos_buckling": 0.9814267593966054, + "fos_yielding": 4.587424851762494, + "deflection": 0.009368692274880663, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_3113", + "improvement_over_parent": null + }, + "node_3115": { + "node_id": "node_3115", + "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 202.00 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.00437549424456, + "fos_buckling": 0.9807874374540626, + "fos_yielding": 4.586993164207097, + "deflection": 0.008817021525172788, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.238)" + }, + "parent_node_id": "node_3114", + "improvement_over_parent": null + }, + "node_3116": { + "node_id": "node_3116", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.62 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.62090440353916, + "fos_buckling": 1.5256488845496547, + "fos_yielding": 4.603379231872536, + "deflection": 0.006969199869233568, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_3115", + "improvement_over_parent": null + }, + "node_3117": { + "node_id": "node_3117", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3116", + "improvement_over_parent": null + }, + "node_3118": { + "node_id": "node_3118", + "content": "INITIAL DESIGN (Trace 453)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 190.00 kg\n Factor of Safety: 1.27\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": 189.99767840659203, + "fos_buckling": 1.2705861915632222, + "fos_yielding": 4.006987816507499, + "deflection": 0.0083046737691272, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3119": { + "node_id": "node_3119", + "content": "MODIFICATION: Increase 8 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 197.29 kg\n Factor of Safety: 1.35\n Max Deflection: 8.06e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.28650508565056, + "fos_buckling": 1.3501389500853298, + "fos_yielding": 4.008717341058378, + "deflection": 0.008064423674262257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.527)" + }, + "parent_node_id": "node_3118", + "improvement_over_parent": null + }, + "node_3120": { + "node_id": "node_3120", + "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 197.66 kg\n Factor of Safety: 1.36\n Max Deflection: 8.00e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.6637373327469, + "fos_buckling": 1.3611102753185935, + "fos_yielding": 4.002205259241637, + "deflection": 0.007998517950881072, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.241)" + }, + "parent_node_id": "node_3119", + "improvement_over_parent": null + }, + "node_3121": { + "node_id": "node_3121", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.71 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.71000708274946, + "fos_buckling": 1.5264291488066275, + "fos_yielding": 4.605879557578838, + "deflection": 0.006966598374843827, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 454)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0022)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n Mass: 100.78 kg\n Factor of Safety: 0.27\n Max Deflection: 8.95e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 100.77526864113216, + "fos_buckling": 0.2727089432365272, + "fos_yielding": 2.2428076447254828, + "deflection": 89548779701520.03, + "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: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0022)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n\nPerformance:\n Mass: 102.19 kg\n Factor of Safety: 0.02\n Max Deflection: 5.50e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 102.19476156011862, + "fos_buckling": 0.020820335868043327, + "fos_yielding": 0.28035095559068535, + "deflection": 549531229004240.1, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002170)" + }, + "parent_node_id": "node_3123", + "improvement_over_parent": null + }, + "node_3125": { + "node_id": "node_3125", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0049)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0028)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n\nPerformance:\n Mass: 127.19 kg\n Factor of Safety: 0.65\n Max Deflection: 9.35e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.19197518204861, + "fos_buckling": 0.6492286216552559, + "fos_yielding": 2.73650417442544, + "deflection": 9349997347540.672, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_3124", + "improvement_over_parent": null + }, + "node_3126": { + "node_id": "node_3126", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n\nPerformance:\n Mass: 147.20 kg\n Factor of Safety: 1.12\n Max Deflection: 6.08e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.20439296637463, + "fos_buckling": 1.1176930215672722, + "fos_yielding": 2.919706086769482, + "deflection": 60825156091960.52, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_3125", + "improvement_over_parent": null + }, + "node_3127": { + "node_id": "node_3127", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n\nPerformance:\n Mass: 174.95 kg\n Factor of Safety: 0.86\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.94866448700523, + "fos_buckling": 0.8646902398675456, + "fos_yielding": 2.839214104124242, + "deflection": 0.010401710868007282, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006834)" + }, + "parent_node_id": "node_3126", + "improvement_over_parent": null + }, + "node_3128": { + "node_id": "node_3128", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 204.42 kg\n Factor of Safety: 0.98\n Max Deflection: 8.93e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.42424354305166, + "fos_buckling": 0.9810023993981323, + "fos_yielding": 3.328266327255004, + "deflection": 0.008932094336781663, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_3127", + "improvement_over_parent": null + }, + "node_3129": { + "node_id": "node_3129", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 226.52 kg\n Factor of Safety: 1.26\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.51539167171197, + "fos_buckling": 1.2558477578093032, + "fos_yielding": 3.340631287489403, + "deflection": 0.007078232249453518, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_3128", + "improvement_over_parent": null + }, + "node_3130": { + "node_id": "node_3130", + "content": "MODIFICATION: Increase 6 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0102)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 235.90 kg\n Factor of Safety: 1.24\n Max Deflection: 6.95e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.9032962864524, + "fos_buckling": 1.2448515808488896, + "fos_yielding": 3.3113807891162508, + "deflection": 0.006950551924802449, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.429)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 455)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n\nPerformance:\n Mass: 106.86 kg\n Factor of Safety: 0.33\n Max Deflection: 3.34e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 106.857720453616, + "fos_buckling": 0.32749908125675325, + "fos_yielding": 1.8274376702109523, + "deflection": 33429737111308.094, + "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: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n\nPerformance:\n Mass: 107.51 kg\n Factor of Safety: 0.33\n Max Deflection: 3.34e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.50955806208427, + "fos_buckling": 0.32749908125675325, + "fos_yielding": 1.8274376702109523, + "deflection": 33429737111308.094, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.238)" + }, + "parent_node_id": "node_3132", + "improvement_over_parent": null + }, + "node_3134": { + "node_id": "node_3134", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n\nPerformance:\n Mass: 134.18 kg\n Factor of Safety: 0.51\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.18074259431296, + "fos_buckling": 0.5072141406281389, + "fos_yielding": 3.1799219600680146, + "deflection": 0.01801177497616293, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006549)" + }, + "parent_node_id": "node_3133", + "improvement_over_parent": null + }, + "node_3135": { + "node_id": "node_3135", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 163.11 kg\n Factor of Safety: 0.59\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.11035824939677, + "fos_buckling": 0.5949942317468955, + "fos_yielding": 3.8577294698081053, + "deflection": 0.014852583337519792, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_3134", + "improvement_over_parent": null + }, + "node_3136": { + "node_id": "node_3136", + "content": "MODIFICATION: Increase 8 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0107)]\n\nPerformance:\n Mass: 172.46 kg\n Factor of Safety: 0.59\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.455001577098, + "fos_buckling": 0.5942636392406073, + "fos_yielding": 3.856548284179134, + "deflection": 0.014241622237271497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.328)" + }, + "parent_node_id": "node_3135", + "improvement_over_parent": null + }, + "node_3137": { + "node_id": "node_3137", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0107)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.23 kg\n Factor of Safety: 1.20\n Max Deflection: 8.35e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.2325963199835, + "fos_buckling": 1.1979051452973681, + "fos_yielding": 4.631461280302988, + "deflection": 0.008345557375726788, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_3136", + "improvement_over_parent": null + }, + "node_3138": { + "node_id": "node_3138", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0107)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 230.85 kg\n Factor of Safety: 1.46\n Max Deflection: 6.90e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.8491252292781, + "fos_buckling": 1.4601301231869852, + "fos_yielding": 4.647951521946413, + "deflection": 0.0068952453957056275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_3137", + "improvement_over_parent": null + }, + "node_3139": { + "node_id": "node_3139", + "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0107)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 231.23 kg\n Factor of Safety: 1.47\n Max Deflection: 6.85e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.23030974778464, + "fos_buckling": 1.4683248916869838, + "fos_yielding": 4.642435098897107, + "deflection": 0.006853765455897899, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.209)" + }, + "parent_node_id": "node_3138", + "improvement_over_parent": null + }, + "node_3140": { + "node_id": "node_3140", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3139", + "improvement_over_parent": null + }, + "node_3141": { + "node_id": "node_3141", + "content": "INITIAL DESIGN (Trace 456)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 174.11 kg\n Factor of Safety: 0.88\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": 174.1096448108172, + "fos_buckling": 0.8846380687779045, + "fos_yielding": 4.400713309195577, + "deflection": 0.012337337050004882, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0068)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n\nPerformance:\n Mass: 176.15 kg\n Factor of Safety: 0.88\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": 176.1489529504364, + "fos_buckling": 0.8841642769850341, + "fos_yielding": 4.400713309195579, + "deflection": 0.010153240658392597, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003193)" + }, + "parent_node_id": "node_3141", + "improvement_over_parent": null + }, + "node_3143": { + "node_id": "node_3143", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 205.98 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.97591543487857, + "fos_buckling": 1.00376921656764, + "fos_yielding": 5.1439135423324585, + "deflection": 0.008714317484907436, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_3142", + "improvement_over_parent": null + }, + "node_3144": { + "node_id": "node_3144", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63521171172601, + "fos_buckling": 1.5259906763696747, + "fos_yielding": 4.604340220541416, + "deflection": 0.006968880204134674, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_3143", + "improvement_over_parent": null + }, + "node_3145": { + "node_id": "node_3145", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3144", + "improvement_over_parent": null + }, + "node_3146": { + "node_id": "node_3146", + "content": "INITIAL DESIGN (Trace 457)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n Mass: 120.86 kg\n Factor of Safety: 0.76\n Max Deflection: 1.46e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.8633769837539, + "fos_buckling": 0.7633085543906808, + "fos_yielding": 2.08528728377279, + "deflection": 145937455531825.0, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3147": { + "node_id": "node_3147", + "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n Mass: 125.53 kg\n Factor of Safety: 0.63\n Max Deflection: 1.61e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.52777826277091, + "fos_buckling": 0.6343637199847925, + "fos_yielding": 3.6548753404219045, + "deflection": 16149628642921.234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.285)" + }, + "parent_node_id": "node_3146", + "improvement_over_parent": null + }, + "node_3148": { + "node_id": "node_3148", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 143.77 kg\n Factor of Safety: 1.17\n Max Deflection: 6.65e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.77066002550185, + "fos_buckling": 1.1742011665099161, + "fos_yielding": 4.292838945749437, + "deflection": 66476084162797.75, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_3147", + "improvement_over_parent": null + }, + "node_3149": { + "node_id": "node_3149", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0056)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 165.43 kg\n Factor of Safety: 0.59\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.4299563023493, + "fos_buckling": 0.5946436277642732, + "fos_yielding": 3.855543964445459, + "deflection": 0.013684176925787387, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_3148", + "improvement_over_parent": null + }, + "node_3150": { + "node_id": "node_3150", + "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 172.77 kg\n Factor of Safety: 0.59\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.7680094396478, + "fos_buckling": 0.5940703071836043, + "fos_yielding": 3.8546173140391238, + "deflection": 0.01369578618948358, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.385)" + }, + "parent_node_id": "node_3149", + "improvement_over_parent": null + }, + "node_3151": { + "node_id": "node_3151", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 194.86 kg\n Factor of Safety: 0.59\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.85915756830812, + "fos_buckling": 0.5923509848166377, + "fos_yielding": 3.8518303276705077, + "deflection": 0.012091949636185309, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_3150", + "improvement_over_parent": null + }, + "node_3152": { + "node_id": "node_3152", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63675231119362, + "fos_buckling": 1.5260952386780349, + "fos_yielding": 4.604600073677171, + "deflection": 0.006968864199134386, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_3151", + "improvement_over_parent": null + }, + "node_3153": { + "node_id": "node_3153", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3152", + "improvement_over_parent": null + }, + "node_3154": { + "node_id": "node_3154", + "content": "INITIAL DESIGN (Trace 458)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 215.25 kg\n Factor of Safety: 1.20\n Max Deflection: 7.42e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.24605605262624, + "fos_buckling": 1.1971343516132895, + "fos_yielding": 3.6378964384398587, + "deflection": 0.007418952706342528, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3155": { + "node_id": "node_3155", + "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 216.64 kg\n Factor of Safety: 1.40\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.64243286186237, + "fos_buckling": 1.397577276250715, + "fos_yielding": 4.650329600442924, + "deflection": 0.0072863837269495565, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.515)" + }, + "parent_node_id": "node_3154", + "improvement_over_parent": null + }, + "node_3156": { + "node_id": "node_3156", + "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 221.23 kg\n Factor of Safety: 1.46\n Max Deflection: 7.12e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.22537227190153, + "fos_buckling": 1.4601026979233513, + "fos_yielding": 4.648958897838394, + "deflection": 0.007118788110103756, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.181)" + }, + "parent_node_id": "node_3155", + "improvement_over_parent": null + }, + "node_3157": { + "node_id": "node_3157", + "content": "MODIFICATION: Increase 9 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63670664382337, + "fos_buckling": 1.5260279154061, + "fos_yielding": 4.604167053289284, + "deflection": 0.006968959082296957, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.376)" + }, + "parent_node_id": "node_3156", + "improvement_over_parent": null + }, + "node_3158": { + "node_id": "node_3158", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3157", + "improvement_over_parent": null + }, + "node_3159": { + "node_id": "node_3159", + "content": "INITIAL DESIGN (Trace 459)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (7 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\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_3160": { + "node_id": "node_3160", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 140.80 kg\n Factor of Safety: 0.31\n Max Deflection: 1.77e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.80049074458694, + "fos_buckling": 0.3101167661292856, + "fos_yielding": 1.827437670210952, + "deflection": 17736093320321.87, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_3159", + "improvement_over_parent": null + }, + "node_3161": { + "node_id": "node_3161", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 173.19 kg\n Factor of Safety: 0.26\n Max Deflection: 8.55e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.19411038470523, + "fos_buckling": 0.2607971742688909, + "fos_yielding": 2.2681550017861345, + "deflection": 85502999906965.12, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_3160", + "improvement_over_parent": null + }, + "node_3162": { + "node_id": "node_3162", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 205.97 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.97170512759072, + "fos_buckling": 1.003752157134665, + "fos_yielding": 5.14377061825193, + "deflection": 0.008714530512475413, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_3161", + "improvement_over_parent": null + }, + "node_3163": { + "node_id": "node_3163", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63100140443817, + "fos_buckling": 1.5259838614863448, + "fos_yielding": 4.604201199747177, + "deflection": 0.006969010689685595, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_3162", + "improvement_over_parent": null + }, + "node_3164": { + "node_id": "node_3164", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3163", + "improvement_over_parent": null + }, + "node_3165": { + "node_id": "node_3165", + "content": "INITIAL DESIGN (Trace 460)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n\nPerformance:\n Mass: 148.19 kg\n Factor of Safety: 1.24\n Max Deflection: 3.70e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.19406695223395, + "fos_buckling": 1.2432803475565681, + "fos_yielding": 3.6874684447836907, + "deflection": 37021461391426.445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3166": { + "node_id": "node_3166", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 166.41 kg\n Factor of Safety: 0.42\n Max Deflection: 1.44e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.410245630556, + "fos_buckling": 0.4173445970074628, + "fos_yielding": 4.149398058510613, + "deflection": 14417547738947.426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_3165", + "improvement_over_parent": null + }, + "node_3167": { + "node_id": "node_3167", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 199.19 kg\n Factor of Safety: 1.00\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": 199.1878403734415, + "fos_buckling": 1.0031449310677711, + "fos_yielding": 4.149398058510613, + "deflection": 0.010597691464314999, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)" + }, + "parent_node_id": "node_3166", + "improvement_over_parent": null + }, + "node_3168": { + "node_id": "node_3168", + "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 200.16 kg\n Factor of Safety: 1.00\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": 200.16296075576952, + "fos_buckling": 1.0031449310677711, + "fos_yielding": 5.146640855221252, + "deflection": 0.010597691464314999, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.264)" + }, + "parent_node_id": "node_3167", + "improvement_over_parent": null + }, + "node_3169": { + "node_id": "node_3169", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 225.28 kg\n Factor of Safety: 1.00\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.28225573327046, + "fos_buckling": 0.9998494765877763, + "fos_yielding": 5.1242384397682095, + "deflection": 0.01059789270052778, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_3168", + "improvement_over_parent": null + }, + "node_3170": { + "node_id": "node_3170", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 227.67 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6669380448566, + "fos_buckling": 1.526005223087435, + "fos_yielding": 4.605358435541148, + "deflection": 0.006967952960769352, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_3169", + "improvement_over_parent": null + }, + "node_3171": { + "node_id": "node_3171", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3170", + "improvement_over_parent": null + }, + "node_3172": { + "node_id": "node_3172", + "content": "INITIAL DESIGN (Trace 461)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0029)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0022)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n\nPerformance:\n Mass: 76.67 kg\n Factor of Safety: 0.30\n Max Deflection: 3.00e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 76.67372664352143, + "fos_buckling": 0.3040991978904399, + "fos_yielding": 1.896037392100576, + "deflection": 0.03001866653345559, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3173": { + "node_id": "node_3173", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0029)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0022)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0023)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0034)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0029)]\n\nPerformance:\n Mass: 86.24 kg\n Factor of Safety: 0.30\n Max Deflection: 2.66e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 86.24200933635689, + "fos_buckling": 0.30371269860179984, + "fos_yielding": 1.8952764948288627, + "deflection": 0.026615258415757844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.002861)" + }, + "parent_node_id": "node_3172", + "improvement_over_parent": null + }, + "node_3174": { + "node_id": "node_3174", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n\nPerformance:\n Mass: 111.79 kg\n Factor of Safety: 0.38\n Max Deflection: 2.06e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 111.78922892863592, + "fos_buckling": 0.38398467247946527, + "fos_yielding": 2.4527731118368488, + "deflection": 0.020592073369732795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_3173", + "improvement_over_parent": null + }, + "node_3175": { + "node_id": "node_3175", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n\nPerformance:\n Mass: 131.08 kg\n Factor of Safety: 0.44\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.0839703024003, + "fos_buckling": 0.44172229704682764, + "fos_yielding": 2.8726443489546494, + "deflection": 0.017599182999307145, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_3174", + "improvement_over_parent": null + }, + "node_3176": { + "node_id": "node_3176", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n\nPerformance:\n Mass: 151.03 kg\n Factor of Safety: 0.50\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.02582439646758, + "fos_buckling": 0.4988057080629296, + "fos_yielding": 3.305532274452383, + "deflection": 0.015309548658156957, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_3175", + "improvement_over_parent": null + }, + "node_3177": { + "node_id": "node_3177", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n\nPerformance:\n Mass: 176.06 kg\n Factor of Safety: 1.24\n Max Deflection: 8.96e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.0603219069325, + "fos_buckling": 1.2357108233377445, + "fos_yielding": 3.567809831134536, + "deflection": 0.008958323042045984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006118)" + }, + "parent_node_id": "node_3176", + "improvement_over_parent": null + }, + "node_3178": { + "node_id": "node_3178", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.86 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.8641919588017, + "fos_buckling": 1.527378257011951, + "fos_yielding": 4.6094895814078845, + "deflection": 0.0069621458776626425, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_3177", + "improvement_over_parent": null + }, + "node_3179": { + "node_id": "node_3179", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 462)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0036)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0032)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0026)]\n\nPerformance:\n Mass: 102.65 kg\n Factor of Safety: 0.63\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 102.64966075070438, + "fos_buckling": 0.6341950131557401, + "fos_yielding": 2.1406467873550175, + "deflection": 0.015460729496900793, + "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 all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0038)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0045)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0040)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0032)]\n\nPerformance:\n Mass: 125.46 kg\n Factor of Safety: 0.76\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": 125.46126603386051, + "fos_buckling": 0.7649515247305029, + "fos_yielding": 2.6137999477893685, + "deflection": 0.01267992882442538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_3180", + "improvement_over_parent": null + }, + "node_3182": { + "node_id": "node_3182", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0038)]\n\nPerformance:\n Mass: 149.03 kg\n Factor of Safety: 0.90\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": 149.0318744196927, + "fos_buckling": 0.8961905833464135, + "fos_yielding": 3.10170566038815, + "deflection": 0.01070077880159088, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_3181", + "improvement_over_parent": null + }, + "node_3183": { + "node_id": "node_3183", + "content": "MODIFICATION: Increase 10 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n Mass: 155.21 kg\n Factor of Safety: 1.11\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": 155.2129634634171, + "fos_buckling": 1.108565726505871, + "fos_yielding": 3.1474453945772756, + "deflection": 0.01013766729103622, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.406)" + }, + "parent_node_id": "node_3182", + "improvement_over_parent": null + }, + "node_3184": { + "node_id": "node_3184", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 180.37 kg\n Factor of Safety: 1.26\n Max Deflection: 8.75e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.3702230012479, + "fos_buckling": 1.260435527792158, + "fos_yielding": 3.65446725338918, + "deflection": 0.008748528957559405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_3183", + "improvement_over_parent": null + }, + "node_3185": { + "node_id": "node_3185", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.85 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.84785429662313, + "fos_buckling": 1.5264490403662778, + "fos_yielding": 4.608980305272477, + "deflection": 0.006962640656839699, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_3184", + "improvement_over_parent": null + }, + "node_3186": { + "node_id": "node_3186", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3185", + "improvement_over_parent": null + }, + "node_3187": { + "node_id": "node_3187", + "content": "INITIAL DESIGN (Trace 463)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 152.32 kg\n Factor of Safety: 0.89\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": 152.3162741171526, + "fos_buckling": 0.8921243325528337, + "fos_yielding": 3.176021115655882, + "deflection": 0.010649338551422848, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3188": { + "node_id": "node_3188", + "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0038)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 152.88 kg\n Factor of Safety: 1.13\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.88457810039978, + "fos_buckling": 1.1259883408543339, + "fos_yielding": 3.1643928568402977, + "deflection": 0.01043727393498244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.555)" + }, + "parent_node_id": "node_3187", + "improvement_over_parent": null + }, + "node_3189": { + "node_id": "node_3189", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0062)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0055)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 171.88 kg\n Factor of Safety: 1.24\n Max Deflection: 9.30e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.88358366947466, + "fos_buckling": 1.2443360662049505, + "fos_yielding": 3.5548361324968947, + "deflection": 0.009302085209385625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_3188", + "improvement_over_parent": null + }, + "node_3190": { + "node_id": "node_3190", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 196.65 kg\n Factor of Safety: 1.39\n Max Deflection: 8.15e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.6470825638283, + "fos_buckling": 1.3916056795306802, + "fos_yielding": 4.0627998678345465, + "deflection": 0.008151687287821134, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_3189", + "improvement_over_parent": null + }, + "node_3191": { + "node_id": "node_3191", + "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 203.21 kg\n Factor of Safety: 1.39\n Max Deflection: 7.79e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.20524340649857, + "fos_buckling": 1.392468682252362, + "fos_yielding": 4.113644358740468, + "deflection": 0.007785388872522621, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.381)" + }, + "parent_node_id": "node_3190", + "improvement_over_parent": null + }, + "node_3192": { + "node_id": "node_3192", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0082)]\n\nPerformance:\n Mass: 227.98 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.9811718368436, + "fos_buckling": 1.527939030939892, + "fos_yielding": 4.611332557378054, + "deflection": 0.006958648152568449, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_3191", + "improvement_over_parent": null + }, + "node_3193": { + "node_id": "node_3193", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3192", + "improvement_over_parent": null + }, + "node_3194": { + "node_id": "node_3194", + "content": "INITIAL DESIGN (Trace 464)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 131.43 kg\n Factor of Safety: 1.46\n Max Deflection: 5.26e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.43050453726232, + "fos_buckling": 1.456724499263353, + "fos_yielding": 3.900029782695633, + "deflection": 52638032067703.28, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3195": { + "node_id": "node_3195", + "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 132.65 kg\n Factor of Safety: 1.84\n Max Deflection: 5.26e+13 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 132.6495673812444, + "fos_buckling": 1.8418928350945636, + "fos_yielding": 5.146776375360968, + "deflection": 52638032067703.28, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.351)" + }, + "parent_node_id": "node_3194", + "improvement_over_parent": null + }, + "node_3196": { + "node_id": "node_3196", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 158.45 kg\n Factor of Safety: 0.83\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": 158.45126986093774, + "fos_buckling": 0.8255854783673647, + "fos_yielding": 5.146776375360968, + "deflection": 0.013203729085300167, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006277)" + }, + "parent_node_id": "node_3195", + "improvement_over_parent": null + }, + "node_3197": { + "node_id": "node_3197", + "content": "MODIFICATION: Increase 0 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 165.73 kg\n Factor of Safety: 0.82\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": 165.72661309442645, + "fos_buckling": 0.8247955686384334, + "fos_yielding": 5.146776375360968, + "deflection": 0.011886163477421375, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.477)" + }, + "parent_node_id": "node_3196", + "improvement_over_parent": null + }, + "node_3198": { + "node_id": "node_3198", + "content": "MODIFICATION: Increase 8 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 172.71 kg\n Factor of Safety: 0.98\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.70715065875277, + "fos_buckling": 0.9847174227402432, + "fos_yielding": 5.146776375360968, + "deflection": 0.011146278780478067, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.297)" + }, + "parent_node_id": "node_3197", + "improvement_over_parent": null + }, + "node_3199": { + "node_id": "node_3199", + "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 176.88 kg\n Factor of Safety: 0.98\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.87770170410008, + "fos_buckling": 0.9841781225525906, + "fos_yielding": 5.146776375360968, + "deflection": 0.010702412407103843, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.193)" + }, + "parent_node_id": "node_3198", + "improvement_over_parent": null + }, + "node_3200": { + "node_id": "node_3200", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 202.00 kg\n Factor of Safety: 0.98\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.99699668160102, + "fos_buckling": 0.9809423614953765, + "fos_yielding": 4.5890985594111795, + "deflection": 0.00881939853734348, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_3199", + "improvement_over_parent": null + }, + "node_3201": { + "node_id": "node_3201", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.61352559089562, + "fos_buckling": 1.5261586949376926, + "fos_yielding": 4.605503118867008, + "deflection": 0.006969617840472743, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_3200", + "improvement_over_parent": null + }, + "node_3202": { + "node_id": "node_3202", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3201", + "improvement_over_parent": null + }, + "node_3203": { + "node_id": "node_3203", + "content": "INITIAL DESIGN (Trace 465)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, 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_3204": { + "node_id": "node_3204", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 155.00 kg\n Factor of Safety: 0.43\n Max Deflection: 4.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.00475907282848, + "fos_buckling": 0.42529770952694085, + "fos_yielding": 3.433867506422341, + "deflection": 0.04334443771608814, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006419)" + }, + "parent_node_id": "node_3203", + "improvement_over_parent": null + }, + "node_3205": { + "node_id": "node_3205", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n\nPerformance:\n Mass: 156.92 kg\n Factor of Safety: 0.52\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.92179992787956, + "fos_buckling": 0.5151820775450934, + "fos_yielding": 3.4333177550763865, + "deflection": 0.014743906859567248, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002987)" + }, + "parent_node_id": "node_3204", + "improvement_over_parent": null + }, + "node_3206": { + "node_id": "node_3206", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 195.09 kg\n Factor of Safety: 0.62\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": 195.08599342261994, + "fos_buckling": 0.6156899668821835, + "fos_yielding": 4.258156472768638, + "deflection": 0.011910277594278679, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_3205", + "improvement_over_parent": null + }, + "node_3207": { + "node_id": "node_3207", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.48 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.47961306273822, + "fos_buckling": 1.5250377939692554, + "fos_yielding": 4.600656000358061, + "deflection": 0.0069734336176363685, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 466)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0041)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n Mass: 95.16 kg\n Factor of Safety: 0.25\n Max Deflection: 1.68e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 95.16296186340422, + "fos_buckling": 0.2537411275307751, + "fos_yielding": 1.0153339023542176, + "deflection": 168032497228229.47, + "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 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n Mass: 117.59 kg\n Factor of Safety: 0.08\n Max Deflection: 1.41e+15 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.58784422788328, + "fos_buckling": 0.07924428192252674, + "fos_yielding": 0.15993426995705778, + "deflection": 1410381389848796.2, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_3209", + "improvement_over_parent": null + }, + "node_3211": { + "node_id": "node_3211", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n Mass: 131.98 kg\n Factor of Safety: 0.65\n Max Deflection: 1.52e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.98001731094908, + "fos_buckling": 0.646825608057762, + "fos_yielding": 3.250718081512886, + "deflection": 15195159252558.006, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_3210", + "improvement_over_parent": null + }, + "node_3212": { + "node_id": "node_3212", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n\nPerformance:\n Mass: 148.68 kg\n Factor of Safety: 0.55\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.6806943000347, + "fos_buckling": 0.5536418405508331, + "fos_yielding": 3.5032215707768444, + "deflection": 0.013249283932196298, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.003988)" + }, + "parent_node_id": "node_3211", + "improvement_over_parent": null + }, + "node_3213": { + "node_id": "node_3213", + "content": "MODIFICATION: Increase 6 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0040)]\n\nPerformance:\n Mass: 157.66 kg\n Factor of Safety: 0.55\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.6603687711231, + "fos_buckling": 0.5529874802924266, + "fos_yielding": 3.5026257831014442, + "deflection": 0.013263909318616927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.511)" + }, + "parent_node_id": "node_3212", + "improvement_over_parent": null + }, + "node_3214": { + "node_id": "node_3214", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0095)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n\nPerformance:\n Mass: 182.25 kg\n Factor of Safety: 0.63\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.25298954054125, + "fos_buckling": 0.6314429802449402, + "fos_yielding": 4.048327651004915, + "deflection": 0.011481007770781822, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_3213", + "improvement_over_parent": null + }, + "node_3215": { + "node_id": "node_3215", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0109)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n\nPerformance:\n Mass: 206.64 kg\n Factor of Safety: 0.71\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.64261086759993, + "fos_buckling": 0.7071944947880904, + "fos_yielding": 4.589524241644719, + "deflection": 0.010130751901741423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_3214", + "improvement_over_parent": null + }, + "node_3216": { + "node_id": "node_3216", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0109)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 228.73 kg\n Factor of Safety: 1.29\n Max Deflection: 7.20e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.73375899626024, + "fos_buckling": 1.2909583339752764, + "fos_yielding": 4.611401986642866, + "deflection": 0.007198014320826866, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)" + }, + "parent_node_id": "node_3215", + "improvement_over_parent": null + }, + "node_3217": { + "node_id": "node_3217", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3216", + "improvement_over_parent": null + }, + "node_3218": { + "node_id": "node_3218", + "content": "INITIAL DESIGN (Trace 467)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 122.61 kg\n Factor of Safety: 0.38\n Max Deflection: 4.79e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.6141761670772, + "fos_buckling": 0.3807131567818419, + "fos_yielding": 2.8417917360882754, + "deflection": 47857371765095.91, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3219": { + "node_id": "node_3219", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n Mass: 144.50 kg\n Factor of Safety: 0.55\n Max Deflection: 6.33e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.50042256566863, + "fos_buckling": 0.553762933849987, + "fos_yielding": 2.2399056450774086, + "deflection": 63268185963518.734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006131)" + }, + "parent_node_id": "node_3218", + "improvement_over_parent": null + }, + "node_3220": { + "node_id": "node_3220", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n Mass: 172.73 kg\n Factor of Safety: 0.88\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": 172.72800535251375, + "fos_buckling": 0.8776135153098004, + "fos_yielding": 2.5651877813767667, + "deflection": 0.010322648883065767, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006963)" + }, + "parent_node_id": "node_3219", + "improvement_over_parent": null + }, + "node_3221": { + "node_id": "node_3221", + "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n Mass: 173.34 kg\n Factor of Safety: 0.88\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.33594528875366, + "fos_buckling": 0.877473390198212, + "fos_yielding": 2.561594583594797, + "deflection": 0.010296172587329929, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.447)" + }, + "parent_node_id": "node_3220", + "improvement_over_parent": null + }, + "node_3222": { + "node_id": "node_3222", + "content": "MODIFICATION: Increase 6 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n\nPerformance:\n Mass: 174.94 kg\n Factor of Safety: 0.88\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": 174.94361998092918, + "fos_buckling": 0.877473390198212, + "fos_yielding": 3.897787640470056, + "deflection": 0.010086815933104055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.626)" + }, + "parent_node_id": "node_3221", + "improvement_over_parent": null + }, + "node_3223": { + "node_id": "node_3223", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 200.91 kg\n Factor of Safety: 0.98\n Max Deflection: 8.81e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.91033889869337, + "fos_buckling": 0.9814459552998827, + "fos_yielding": 4.492455748644498, + "deflection": 0.00881144562002441, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 226.53 kg\n Factor of Safety: 1.26\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.52686780798797, + "fos_buckling": 1.2634685912744366, + "fos_yielding": 3.863554095768892, + "deflection": 0.007069671086084222, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_3223", + "improvement_over_parent": null + }, + "node_3225": { + "node_id": "node_3225", + "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.77 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.76915253479407, + "fos_buckling": 1.5268684244033603, + "fos_yielding": 4.608912097644563, + "deflection": 0.006964545969096268, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.435)" + }, + "parent_node_id": "node_3224", + "improvement_over_parent": null + }, + "node_3226": { + "node_id": "node_3226", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3225", + "improvement_over_parent": null + }, + "node_3227": { + "node_id": "node_3227", + "content": "INITIAL DESIGN (Trace 468)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n\nPerformance:\n Mass: 93.04 kg\n Factor of Safety: 0.17\n Max Deflection: 1.76e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 93.03839193934608, + "fos_buckling": 0.17294280319337385, + "fos_yielding": 1.1668343243301205, + "deflection": 175727837773319.5, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3228": { + "node_id": "node_3228", + "content": "MODIFICATION: Increase 4 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n\nPerformance:\n Mass: 93.79 kg\n Factor of Safety: 0.59\n Max Deflection: 1.76e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 93.78563643769482, + "fos_buckling": 0.586606877368466, + "fos_yielding": 0.22842970877636903, + "deflection": 175727837773319.47, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.332)" + }, + "parent_node_id": "node_3227", + "improvement_over_parent": null + }, + "node_3229": { + "node_id": "node_3229", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0047)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0043)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n\nPerformance:\n Mass: 107.23 kg\n Factor of Safety: 0.40\n Max Deflection: 2.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.22942449385421, + "fos_buckling": 0.3972373422740082, + "fos_yielding": 2.3997966681449103, + "deflection": 0.02190115146770813, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004083)" + }, + "parent_node_id": "node_3228", + "improvement_over_parent": null + }, + "node_3230": { + "node_id": "node_3230", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0051)]\n\nPerformance:\n Mass: 132.47 kg\n Factor of Safety: 0.48\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.47429376970516, + "fos_buckling": 0.4771239236212958, + "fos_yielding": 2.960955552942847, + "deflection": 0.017779520184607076, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_3229", + "improvement_over_parent": null + }, + "node_3231": { + "node_id": "node_3231", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n\nPerformance:\n Mass: 153.24 kg\n Factor of Safety: 0.54\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.238971358113, + "fos_buckling": 0.539013518817156, + "fos_yielding": 3.4214430860624714, + "deflection": 0.015407240067092784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_3230", + "improvement_over_parent": null + }, + "node_3232": { + "node_id": "node_3232", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n\nPerformance:\n Mass: 172.83 kg\n Factor of Safety: 0.54\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.82650155185664, + "fos_buckling": 0.5376264737353398, + "fos_yielding": 3.41924728520252, + "deflection": 0.013600496570475584, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006038)" + }, + "parent_node_id": "node_3231", + "improvement_over_parent": null + }, + "node_3233": { + "node_id": "node_3233", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 201.89 kg\n Factor of Safety: 1.38\n Max Deflection: 7.83e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.89096573199012, + "fos_buckling": 1.3847897899309272, + "fos_yielding": 4.086649076729347, + "deflection": 0.007834819833214888, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007138)" + }, + "parent_node_id": "node_3232", + "improvement_over_parent": null + }, + "node_3234": { + "node_id": "node_3234", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.61476353414068, + "fos_buckling": 1.5256826138558937, + "fos_yielding": 4.6033432421961145, + "deflection": 0.006969482757955334, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "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 469)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0040)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0058)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 188.96 kg\n Factor of Safety: 1.23\n Max Deflection: 8.35e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.96363305874456, + "fos_buckling": 1.2284503541404626, + "fos_yielding": 4.084419829062835, + "deflection": 0.008354427700400506, + "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 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 215.75 kg\n Factor of Safety: 1.37\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": 215.747051018046, + "fos_buckling": 1.3746672813960759, + "fos_yielding": 4.656130490742435, + "deflection": 0.007338826549917547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_3236", + "improvement_over_parent": null + }, + "node_3238": { + "node_id": "node_3238", + "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 221.11 kg\n Factor of Safety: 1.40\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": 221.1145465508703, + "fos_buckling": 1.4031565484572177, + "fos_yielding": 4.654516420825731, + "deflection": 0.007138472353231572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.218)" + }, + "parent_node_id": "node_3237", + "improvement_over_parent": null + }, + "node_3239": { + "node_id": "node_3239", + "content": "MODIFICATION: Increase 3 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.64041871096703, + "fos_buckling": 1.52594504450403, + "fos_yielding": 4.604082757965506, + "deflection": 0.006968674547406757, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.473)" + }, + "parent_node_id": "node_3238", + "improvement_over_parent": null + }, + "node_3240": { + "node_id": "node_3240", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3239", + "improvement_over_parent": null + }, + "node_3241": { + "node_id": "node_3241", + "content": "INITIAL DESIGN (Trace 470)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0050)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0027)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0033)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0016)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0052)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0046)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 128.28 kg\n Factor of Safety: 0.71\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": 128.28077445566217, + "fos_buckling": 0.7130552458568755, + "fos_yielding": 3.415947841847829, + "deflection": 0.013075781314540178, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3242": { + "node_id": "node_3242", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0058)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0038)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0018)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0041)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0054)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0061)]\n\nPerformance:\n Mass: 148.45 kg\n Factor of Safety: 0.81\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": 148.45316996725907, + "fos_buckling": 0.8082799370599246, + "fos_yielding": 3.9512505519812917, + "deflection": 0.011329340143522545, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_3241", + "improvement_over_parent": null + }, + "node_3243": { + "node_id": "node_3243", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 193.50 kg\n Factor of Safety: 1.00\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": 193.50056650424244, + "fos_buckling": 1.0047913564148634, + "fos_yielding": 5.144576509878435, + "deflection": 0.008744243183800684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_3242", + "improvement_over_parent": null + }, + "node_3244": { + "node_id": "node_3244", + "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 194.30 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.30386944378574, + "fos_buckling": 1.0045798528468595, + "fos_yielding": 5.144576509878435, + "deflection": 0.008710384460400407, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.558)" + }, + "parent_node_id": "node_3243", + "improvement_over_parent": null + }, + "node_3245": { + "node_id": "node_3245", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0041)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 219.42 kg\n Factor of Safety: 1.32\n Max Deflection: 7.20e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.42316442128669, + "fos_buckling": 1.3236501974382406, + "fos_yielding": 4.6667627391774005, + "deflection": 0.007199532364757567, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_3244", + "improvement_over_parent": null + }, + "node_3246": { + "node_id": "node_3246", + "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 223.90 kg\n Factor of Safety: 1.49\n Max Deflection: 7.06e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.90497770162062, + "fos_buckling": 1.488467916018972, + "fos_yielding": 4.624528760735727, + "deflection": 0.007056038151041587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.355)" + }, + "parent_node_id": "node_3245", + "improvement_over_parent": null + }, + "node_3247": { + "node_id": "node_3247", + "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.45 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.44653992907575, + "fos_buckling": 1.525005849904323, + "fos_yielding": 4.6002748385762695, + "deflection": 0.0069747251721803466, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.215)" + }, + "parent_node_id": "node_3246", + "improvement_over_parent": null + }, + "node_3248": { + "node_id": "node_3248", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3247", + "improvement_over_parent": null + }, + "node_3249": { + "node_id": "node_3249", + "content": "INITIAL DESIGN (Trace 471)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0041)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 150.43 kg\n Factor of Safety: 0.83\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.4325942770717, + "fos_buckling": 0.8306606411499381, + "fos_yielding": 4.076093870884131, + "deflection": 0.011704228763278745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3250": { + "node_id": "node_3250", + "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 155.46 kg\n Factor of Safety: 0.83\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": 155.4558646657603, + "fos_buckling": 0.8301112576912112, + "fos_yielding": 4.076093870884131, + "deflection": 0.011442149419968808, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.353)" + }, + "parent_node_id": "node_3249", + "improvement_over_parent": null + }, + "node_3251": { + "node_id": "node_3251", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0060)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0053)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n\nPerformance:\n Mass: 172.61 kg\n Factor of Safety: 1.01\n Max Deflection: 9.28e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.6094418004697, + "fos_buckling": 1.007546492224784, + "fos_yielding": 3.6550459574625354, + "deflection": 0.009275599562760776, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005292)" + }, + "parent_node_id": "node_3250", + "improvement_over_parent": null + }, + "node_3252": { + "node_id": "node_3252", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n\nPerformance:\n Mass: 190.82 kg\n Factor of Safety: 1.10\n Max Deflection: 8.41e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.82282428363274, + "fos_buckling": 1.1021869526044312, + "fos_yielding": 4.037055444876927, + "deflection": 0.008405923232456782, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_3251", + "improvement_over_parent": null + }, + "node_3253": { + "node_id": "node_3253", + "content": "MODIFICATION: Increase 7 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0048)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n\nPerformance:\n Mass: 199.93 kg\n Factor of Safety: 1.17\n Max Deflection: 8.18e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.9307429928999, + "fos_buckling": 1.1656672947644164, + "fos_yielding": 4.037859340212372, + "deflection": 0.008177407212278482, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.458)" + }, + "parent_node_id": "node_3252", + "improvement_over_parent": null + }, + "node_3254": { + "node_id": "node_3254", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0105)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 228.36 kg\n Factor of Safety: 1.31\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.36483890068519, + "fos_buckling": 1.310113644676491, + "fos_yielding": 4.610336532212919, + "deflection": 0.007176479404810433, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_3253", + "improvement_over_parent": null + }, + "node_3255": { + "node_id": "node_3255", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3254", + "improvement_over_parent": null + }, + "node_3256": { + "node_id": "node_3256", + "content": "INITIAL DESIGN (Trace 472)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0035)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0031)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0031)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0023)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0037)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0037)]\n\nPerformance:\n Mass: 107.94 kg\n Factor of Safety: 0.80\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": 107.94300355624962, + "fos_buckling": 0.8029278897574773, + "fos_yielding": 2.1921965060643345, + "deflection": 0.014498970665743975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3257": { + "node_id": "node_3257", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n Mass: 136.35 kg\n Factor of Safety: 0.99\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.34978939245116, + "fos_buckling": 0.9902102976995656, + "fos_yielding": 2.7664353328632907, + "deflection": 0.011515365920231278, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_3256", + "improvement_over_parent": null + }, + "node_3258": { + "node_id": "node_3258", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0056)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 162.73 kg\n Factor of Safety: 1.16\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": 162.7273998502228, + "fos_buckling": 1.1553164632634614, + "fos_yielding": 3.298664082969733, + "deflection": 0.009677607354149657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_3257", + "improvement_over_parent": null + }, + "node_3259": { + "node_id": "node_3259", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0059)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0070)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 199.39 kg\n Factor of Safety: 1.37\n Max Deflection: 7.93e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.39340253217964, + "fos_buckling": 1.3708912131665973, + "fos_yielding": 4.036905057281116, + "deflection": 0.0079307386742209, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_3258", + "improvement_over_parent": null + }, + "node_3260": { + "node_id": "node_3260", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.70 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.70421815491403, + "fos_buckling": 1.526369589837017, + "fos_yielding": 4.605667723688751, + "deflection": 0.006966823797527552, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_3259", + "improvement_over_parent": null + }, + "node_3261": { + "node_id": "node_3261", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3260", + "improvement_over_parent": null + }, + "node_3262": { + "node_id": "node_3262", + "content": "INITIAL DESIGN (Trace 473)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0045)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0039)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0029)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0025)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0039)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0047)]\n\nPerformance:\n Mass: 116.53 kg\n Factor of Safety: 0.54\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": 116.53128659857771, + "fos_buckling": 0.5424855169886245, + "fos_yielding": 2.2449490632336784, + "deflection": 0.01566497731013052, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3263": { + "node_id": "node_3263", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0046)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 136.63 kg\n Factor of Safety: 0.63\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": 136.62858364730704, + "fos_buckling": 0.6260570071690377, + "fos_yielding": 2.634210029701546, + "deflection": 0.013388486267722077, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_3262", + "improvement_over_parent": null + }, + "node_3264": { + "node_id": "node_3264", + "content": "MODIFICATION: Increase 7 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n\nPerformance:\n Mass: 140.10 kg\n Factor of Safety: 0.73\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.09522569750084, + "fos_buckling": 0.7261136683380518, + "fos_yielding": 2.634063786689237, + "deflection": 0.012664974211786141, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.193)" + }, + "parent_node_id": "node_3263", + "improvement_over_parent": null + }, + "node_3265": { + "node_id": "node_3265", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0046)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0055)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n\nPerformance:\n Mass: 157.94 kg\n Factor of Safety: 1.02\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.9410218840592, + "fos_buckling": 1.019457784341429, + "fos_yielding": 2.6437928261444257, + "deflection": 0.010022836601996807, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004870)" + }, + "parent_node_id": "node_3264", + "improvement_over_parent": null + }, + "node_3266": { + "node_id": "node_3266", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n\nPerformance:\n Mass: 180.30 kg\n Factor of Safety: 1.15\n Max Deflection: 8.80e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.301154836845, + "fos_buckling": 1.1489686912591055, + "fos_yielding": 3.0210935649291413, + "deflection": 0.008801418058341915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_3265", + "improvement_over_parent": null + }, + "node_3267": { + "node_id": "node_3267", + "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n\nPerformance:\n Mass: 181.02 kg\n Factor of Safety: 1.26\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.01950056128481, + "fos_buckling": 1.2649562161299275, + "fos_yielding": 3.6678250469014615, + "deflection": 0.008717688090658886, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.235)" + }, + "parent_node_id": "node_3266", + "improvement_over_parent": null + }, + "node_3268": { + "node_id": "node_3268", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n\nPerformance:\n Mass: 205.51 kg\n Factor of Safety: 1.41\n Max Deflection: 7.70e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.50868441536247, + "fos_buckling": 1.4053643410874692, + "fos_yielding": 4.160564171109972, + "deflection": 0.007700061974229106, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_3267", + "improvement_over_parent": null + }, + "node_3269": { + "node_id": "node_3269", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.76 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.76079003070686, + "fos_buckling": 1.5267581967772514, + "fos_yielding": 4.6075814669058355, + "deflection": 0.006965156554357314, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_3268", + "improvement_over_parent": null + }, + "node_3270": { + "node_id": "node_3270", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3269", + "improvement_over_parent": null + }, + "node_3271": { + "node_id": "node_3271", + "content": "INITIAL DESIGN (Trace 474)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0030)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 166.32 kg\n Factor of Safety: 0.89\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": 166.32090501900947, + "fos_buckling": 0.8904365714978827, + "fos_yielding": 3.2247530497511723, + "deflection": 0.010591658542278741, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3272": { + "node_id": "node_3272", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 193.08 kg\n Factor of Safety: 1.00\n Max Deflection: 9.15e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.07638714470733, + "fos_buckling": 1.0046045791655263, + "fos_yielding": 3.7532933178944834, + "deflection": 0.009151870135013056, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_3271", + "improvement_over_parent": null + }, + "node_3273": { + "node_id": "node_3273", + "content": "MODIFICATION: Increase 4 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 194.34 kg\n Factor of Safety: 1.00\n Max Deflection: 9.03e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.33770455963509, + "fos_buckling": 1.0046045791655258, + "fos_yielding": 5.1411419799833125, + "deflection": 0.009027075680980308, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.445)" + }, + "parent_node_id": "node_3272", + "improvement_over_parent": null + }, + "node_3274": { + "node_id": "node_3274", + "content": "MODIFICATION: Increase 7 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 202.35 kg\n Factor of Safety: 1.00\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.35028442590428, + "fos_buckling": 1.0035510600017428, + "fos_yielding": 5.1411419799833125, + "deflection": 0.008718848656886491, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.361)" + }, + "parent_node_id": "node_3273", + "improvement_over_parent": null + }, + "node_3275": { + "node_id": "node_3275", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.47 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.46957940340522, + "fos_buckling": 1.5251815690284132, + "fos_yielding": 4.6003500435309945, + "deflection": 0.006974003734335597, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_3274", + "improvement_over_parent": null + }, + "node_3276": { + "node_id": "node_3276", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3275", + "improvement_over_parent": null + }, + "node_3277": { + "node_id": "node_3277", + "content": "INITIAL DESIGN (Trace 475)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 185.78 kg\n Factor of Safety: 0.59\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": 185.77649926005546, + "fos_buckling": 0.5930975483902164, + "fos_yielding": 3.8525857240624446, + "deflection": 0.012496758395895603, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3278": { + "node_id": "node_3278", + "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 194.85 kg\n Factor of Safety: 0.59\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": 194.85171780253484, + "fos_buckling": 0.592392393076109, + "fos_yielding": 3.8514414110480972, + "deflection": 0.012092699078344676, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.427)" + }, + "parent_node_id": "node_3277", + "improvement_over_parent": null + }, + "node_3279": { + "node_id": "node_3279", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 216.06 kg\n Factor of Safety: 1.17\n Max Deflection: 7.50e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.06169335181508, + "fos_buckling": 1.1748386964804367, + "fos_yielding": 4.512136018685926, + "deflection": 0.007500374883517702, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005094)" + }, + "parent_node_id": "node_3278", + "improvement_over_parent": null + }, + "node_3280": { + "node_id": "node_3280", + "content": "MODIFICATION: Increase 10 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.61144014676103, + "fos_buckling": 1.5254826972104758, + "fos_yielding": 4.60409734549583, + "deflection": 0.006969652707140466, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.597)" + }, + "parent_node_id": "node_3279", + "improvement_over_parent": null + }, + "node_3281": { + "node_id": "node_3281", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3280", + "improvement_over_parent": null + }, + "node_3282": { + "node_id": "node_3282", + "content": "INITIAL DESIGN (Trace 476)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0026)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0036)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 139.22 kg\n Factor of Safety: 0.48\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.22244800042427, + "fos_buckling": 0.481109932636, + "fos_yielding": 1.9051364550925904, + "deflection": 0.016548463857497586, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3283": { + "node_id": "node_3283", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n Mass: 158.97 kg\n Factor of Safety: 0.54\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.9747031931927, + "fos_buckling": 0.5372294510073928, + "fos_yielding": 2.180744360223331, + "deflection": 0.01452416381422167, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_3282", + "improvement_over_parent": null + }, + "node_3284": { + "node_id": "node_3284", + "content": "MODIFICATION: Increase 6 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n Mass: 160.58 kg\n Factor of Safety: 0.54\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.57677100125562, + "fos_buckling": 0.5372294510073928, + "fos_yielding": 3.409183315490877, + "deflection": 0.013934409563559652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.610)" + }, + "parent_node_id": "node_3283", + "improvement_over_parent": null + }, + "node_3285": { + "node_id": "node_3285", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 189.59 kg\n Factor of Safety: 1.26\n Max Deflection: 8.20e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.58871542737387, + "fos_buckling": 1.2644867933054118, + "fos_yielding": 4.071267412121914, + "deflection": 0.008203709085866888, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007124)" + }, + "parent_node_id": "node_3284", + "improvement_over_parent": null + }, + "node_3286": { + "node_id": "node_3286", + "content": "MODIFICATION: Increase 2 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 194.05 kg\n Factor of Safety: 1.30\n Max Deflection: 8.09e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.05352630217598, + "fos_buckling": 1.3001627343251132, + "fos_yielding": 4.0718824224756265, + "deflection": 0.008093105171272178, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.321)" + }, + "parent_node_id": "node_3285", + "improvement_over_parent": null + }, + "node_3287": { + "node_id": "node_3287", + "content": "MODIFICATION: Increase 8 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 201.36 kg\n Factor of Safety: 1.38\n Max Deflection: 7.86e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.35757322205018, + "fos_buckling": 1.3823924130527259, + "fos_yielding": 4.073242478699142, + "deflection": 0.007855211819205624, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.515)" + }, + "parent_node_id": "node_3286", + "improvement_over_parent": null + }, + "node_3288": { + "node_id": "node_3288", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.56 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.56439144119338, + "fos_buckling": 1.526045615446619, + "fos_yielding": 4.59934367347117, + "deflection": 0.0069710815678194074, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_3287", + "improvement_over_parent": null + }, + "node_3289": { + "node_id": "node_3289", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3288", + "improvement_over_parent": null + }, + "node_3290": { + "node_id": "node_3290", + "content": "INITIAL DESIGN (Trace 477)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 122.57 kg\n Factor of Safety: 0.35\n Max Deflection: 2.00e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.57179018955938, + "fos_buckling": 0.35146372312980434, + "fos_yielding": 2.743948736417839, + "deflection": 0.01998360825813245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3291": { + "node_id": "node_3291", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0042)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0017)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0050)]\n\nPerformance:\n Mass: 143.43 kg\n Factor of Safety: 1.01\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.42777318676895, + "fos_buckling": 1.0055105708494099, + "fos_yielding": 2.979242871841163, + "deflection": 0.011015114824894139, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005037)" + }, + "parent_node_id": "node_3290", + "improvement_over_parent": null + }, + "node_3292": { + "node_id": "node_3292", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n\nPerformance:\n Mass: 179.65 kg\n Factor of Safety: 1.23\n Max Deflection: 8.83e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.6452600567133, + "fos_buckling": 1.2289088274778968, + "fos_yielding": 3.725699213404782, + "deflection": 0.008828870428213266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_3291", + "improvement_over_parent": null + }, + "node_3293": { + "node_id": "node_3293", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 222.92 kg\n Factor of Safety: 1.47\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": 222.92198220423103, + "fos_buckling": 1.4669583895257268, + "fos_yielding": 4.614463111939231, + "deflection": 0.0071480292132234825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_3292", + "improvement_over_parent": null + }, + "node_3294": { + "node_id": "node_3294", + "content": "MODIFICATION: Increase 5 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 223.52 kg\n Factor of Safety: 1.48\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": 223.52073041553155, + "fos_buckling": 1.4831994725829567, + "fos_yielding": 4.603566616663827, + "deflection": 0.007067283944005787, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.368)" + }, + "parent_node_id": "node_3293", + "improvement_over_parent": null + }, + "node_3295": { + "node_id": "node_3295", + "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.65 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6462473988388, + "fos_buckling": 1.5259791181781504, + "fos_yielding": 4.604290285715693, + "deflection": 0.006968722393066751, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.252)" + }, + "parent_node_id": "node_3294", + "improvement_over_parent": null + }, + "node_3296": { + "node_id": "node_3296", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3295", + "improvement_over_parent": null + }, + "node_3297": { + "node_id": "node_3297", + "content": "INITIAL DESIGN (Trace 478)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 181.08 kg\n Factor of Safety: 0.79\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": 181.0847176945949, + "fos_buckling": 0.7907246798084551, + "fos_yielding": 4.138067014744704, + "deflection": 0.010277667297120482, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3298": { + "node_id": "node_3298", + "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 185.28 kg\n Factor of Safety: 0.90\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": 185.27608379005954, + "fos_buckling": 0.9020219321498479, + "fos_yielding": 4.1377897187105885, + "deflection": 0.009760375649849074, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.182)" + }, + "parent_node_id": "node_3297", + "improvement_over_parent": null + }, + "node_3299": { + "node_id": "node_3299", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n\nPerformance:\n Mass: 205.19 kg\n Factor of Safety: 1.40\n Max Deflection: 7.71e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.18585607304715, + "fos_buckling": 1.403439305560195, + "fos_yielding": 4.153217857303826, + "deflection": 0.0077118333477784904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006146)" + }, + "parent_node_id": "node_3298", + "improvement_over_parent": null + }, + "node_3300": { + "node_id": "node_3300", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n\nPerformance:\n Mass: 227.59 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.59181822628267, + "fos_buckling": 1.525731847121001, + "fos_yielding": 4.603251777950511, + "deflection": 0.006970138949592778, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_3299", + "improvement_over_parent": null + }, + "node_3301": { + "node_id": "node_3301", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3300", + "improvement_over_parent": null + }, + "node_3302": { + "node_id": "node_3302", + "content": "INITIAL DESIGN (Trace 479)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0031)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n Mass: 150.70 kg\n Factor of Safety: 0.79\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.70005928487302, + "fos_buckling": 0.7892315073602398, + "fos_yielding": 3.3593685934076896, + "deflection": 0.011665095959661021, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3303": { + "node_id": "node_3303", + "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0057)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0050)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0037)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0028)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0040)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0052)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0059)]\n\nPerformance:\n Mass: 151.22 kg\n Factor of Safety: 0.79\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.22105708786572, + "fos_buckling": 0.7892315073602404, + "fos_yielding": 3.8444552443571833, + "deflection": 0.011594561329053166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.203)" + }, + "parent_node_id": "node_3302", + "improvement_over_parent": null + }, + "node_3304": { + "node_id": "node_3304", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n\nPerformance:\n Mass: 175.67 kg\n Factor of Safety: 0.89\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.67428049352264, + "fos_buckling": 0.8949788192078802, + "fos_yielding": 4.464863534839373, + "deflection": 0.010010424374014748, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_3303", + "improvement_over_parent": null + }, + "node_3305": { + "node_id": "node_3305", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0067)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0070)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n Mass: 197.46 kg\n Factor of Safety: 1.36\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": 197.45836835584134, + "fos_buckling": 1.359915828490208, + "fos_yielding": 3.9981724651041737, + "deflection": 0.008006740620859936, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006100)" + }, + "parent_node_id": "node_3304", + "improvement_over_parent": null + }, + "node_3306": { + "node_id": "node_3306", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.65 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.65421789234523, + "fos_buckling": 1.526100825282619, + "fos_yielding": 4.604870678768735, + "deflection": 0.00696833813753232, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_3305", + "improvement_over_parent": null + }, + "node_3307": { + "node_id": "node_3307", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3306", + "improvement_over_parent": null + }, + "node_3308": { + "node_id": "node_3308", + "content": "INITIAL DESIGN (Trace 480)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0033)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 127.98 kg\n Factor of Safety: 0.53\n Max Deflection: 2.01e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.9804617044463, + "fos_buckling": 0.5271468965163643, + "fos_yielding": 3.2075393392887785, + "deflection": 0.020119511556103763, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3309": { + "node_id": "node_3309", + "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 131.55 kg\n Factor of Safety: 0.53\n Max Deflection: 2.01e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.55253613962455, + "fos_buckling": 0.5268981745758908, + "fos_yielding": 3.207539339288773, + "deflection": 0.020127264215861168, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.300)" + }, + "parent_node_id": "node_3308", + "improvement_over_parent": null + }, + "node_3310": { + "node_id": "node_3310", + "content": "MODIFICATION: Increase 1 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 139.78 kg\n Factor of Safety: 0.53\n Max Deflection: 2.01e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.78039308698848, + "fos_buckling": 0.5263261645572339, + "fos_yielding": 3.207539339288768, + "deflection": 0.020145121563630023, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.553)" + }, + "parent_node_id": "node_3309", + "improvement_over_parent": null + }, + "node_3311": { + "node_id": "node_3311", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n\nPerformance:\n Mass: 167.66 kg\n Factor of Safety: 0.52\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.65594353025176, + "fos_buckling": 0.5243974222393543, + "fos_yielding": 3.3187275748193885, + "deflection": 0.014010137091910402, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006869)" + }, + "parent_node_id": "node_3310", + "improvement_over_parent": null + }, + "node_3312": { + "node_id": "node_3312", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 195.86 kg\n Factor of Safety: 1.35\n Max Deflection: 8.07e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.8628917127258, + "fos_buckling": 1.3512275669648968, + "fos_yielding": 3.966214992109352, + "deflection": 0.008070643082547596, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006910)" + }, + "parent_node_id": "node_3311", + "improvement_over_parent": null + }, + "node_3313": { + "node_id": "node_3313", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.60 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.6005090126474, + "fos_buckling": 1.5262477481703896, + "fos_yielding": 4.603944503200684, + "deflection": 0.006970051039012329, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_3312", + "improvement_over_parent": null + }, + "node_3314": { + "node_id": "node_3314", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3313", + "improvement_over_parent": null + }, + "node_3315": { + "node_id": "node_3315", + "content": "INITIAL DESIGN (Trace 481)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0035)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 147.80 kg\n Factor of Safety: 1.06\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": 147.8002603448277, + "fos_buckling": 1.0629185508771546, + "fos_yielding": 2.997591839078713, + "deflection": 0.01063702757938283, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3316": { + "node_id": "node_3316", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 164.99 kg\n Factor of Safety: 1.17\n Max Deflection: 9.55e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.98978524873368, + "fos_buckling": 1.1690855098888733, + "fos_yielding": 3.344268562890971, + "deflection": 0.00954734557404338, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_3315", + "improvement_over_parent": null + }, + "node_3317": { + "node_id": "node_3317", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 204.36 kg\n Factor of Safety: 1.40\n Max Deflection: 7.74e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.35934228929025, + "fos_buckling": 1.3988516392813675, + "fos_yielding": 4.136749370361112, + "deflection": 0.007742345862467784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_3316", + "improvement_over_parent": null + }, + "node_3318": { + "node_id": "node_3318", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.61 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.60552354995178, + "fos_buckling": 1.5258440638775956, + "fos_yielding": 4.603686847465433, + "deflection": 0.00696976759346621, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_3317", + "improvement_over_parent": null + }, + "node_3319": { + "node_id": "node_3319", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3318", + "improvement_over_parent": null + }, + "node_3320": { + "node_id": "node_3320", + "content": "INITIAL DESIGN (Trace 482)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0032)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 125.25 kg\n Factor of Safety: 0.47\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.25240479039319, + "fos_buckling": 0.47293334734039233, + "fos_yielding": 3.1015924093743994, + "deflection": 0.018397735396158882, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3321": { + "node_id": "node_3321", + "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0055)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0049)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0027)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0039)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 125.83 kg\n Factor of Safety: 0.47\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.82837474824733, + "fos_buckling": 0.47293334734039233, + "fos_yielding": 3.1015924093744, + "deflection": 0.018397735396158882, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.200)" + }, + "parent_node_id": "node_3320", + "improvement_over_parent": null + }, + "node_3322": { + "node_id": "node_3322", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 148.53 kg\n Factor of Safety: 0.54\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.53187387328856, + "fos_buckling": 0.5441536127393566, + "fos_yielding": 3.6558056318839305, + "deflection": 0.015627003040903954, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_3321", + "improvement_over_parent": null + }, + "node_3323": { + "node_id": "node_3323", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0058)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0043)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0046)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0061)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0057)]\n\nPerformance:\n Mass: 167.06 kg\n Factor of Safety: 0.54\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.05847543972016, + "fos_buckling": 0.5428282179889526, + "fos_yielding": 3.652979288100285, + "deflection": 0.01386462302421496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005750)" + }, + "parent_node_id": "node_3322", + "improvement_over_parent": null + }, + "node_3324": { + "node_id": "node_3324", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 195.34 kg\n Factor of Safety: 0.62\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.34442982840912, + "fos_buckling": 0.6163649756276878, + "fos_yielding": 4.263952314995701, + "deflection": 0.011894540051875705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_3323", + "improvement_over_parent": null + }, + "node_3325": { + "node_id": "node_3325", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.74 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.7380494685274, + "fos_buckling": 1.5266089908086178, + "fos_yielding": 4.6068308459045495, + "deflection": 0.006965779719516112, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_3324", + "improvement_over_parent": null + }, + "node_3326": { + "node_id": "node_3326", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3325", + "improvement_over_parent": null + }, + "node_3327": { + "node_id": "node_3327", + "content": "INITIAL DESIGN (Trace 483)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n\nPerformance:\n Mass: 146.42 kg\n Factor of Safety: 0.50\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.42253466882764, + "fos_buckling": 0.5018957549337899, + "fos_yielding": 3.1449482612662307, + "deflection": 0.01515422354960292, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3328": { + "node_id": "node_3328", + "content": "MODIFICATION: Increase 2 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n\nPerformance:\n Mass: 152.23 kg\n Factor of Safety: 0.50\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.22557535911025, + "fos_buckling": 0.5015121109186977, + "fos_yielding": 3.144349759268427, + "deflection": 0.0149949417482569, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.511)" + }, + "parent_node_id": "node_3327", + "improvement_over_parent": null + }, + "node_3329": { + "node_id": "node_3329", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 178.93 kg\n Factor of Safety: 1.22\n Max Deflection: 8.76e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.93204081088177, + "fos_buckling": 1.2171186151369195, + "fos_yielding": 3.7555783411814225, + "deflection": 0.008761876142270152, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006514)" + }, + "parent_node_id": "node_3328", + "improvement_over_parent": null + }, + "node_3330": { + "node_id": "node_3330", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 219.78 kg\n Factor of Safety: 1.44\n Max Deflection: 7.17e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.77966248293632, + "fos_buckling": 1.4405505013618005, + "fos_yielding": 4.604168940571135, + "deflection": 0.007166512463033618, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_3329", + "improvement_over_parent": null + }, + "node_3331": { + "node_id": "node_3331", + "content": "MODIFICATION: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.73 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.72986714533818, + "fos_buckling": 1.526310196254326, + "fos_yielding": 4.605553580411659, + "deflection": 0.0069663724819865845, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.493)" + }, + "parent_node_id": "node_3330", + "improvement_over_parent": null + }, + "node_3332": { + "node_id": "node_3332", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3331", + "improvement_over_parent": null + }, + "node_3333": { + "node_id": "node_3333", + "content": "INITIAL DESIGN (Trace 484)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 110.53 kg\n Factor of Safety: 1.49\n Max Deflection: 1.34e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.52984646417796, + "fos_buckling": 1.4884278150626322, + "fos_yielding": 4.083610313845626, + "deflection": 13421915958880.793, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3334": { + "node_id": "node_3334", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 139.32 kg\n Factor of Safety: 0.43\n Max Deflection: 9.43e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.32100357598782, + "fos_buckling": 0.42672553412833447, + "fos_yielding": 2.2648044749255156, + "deflection": 94293322059740.75, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_3333", + "improvement_over_parent": null + }, + "node_3335": { + "node_id": "node_3335", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n\nPerformance:\n Mass: 156.44 kg\n Factor of Safety: 0.62\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.43781406929793, + "fos_buckling": 0.61882199461965, + "fos_yielding": 4.268033272353267, + "deflection": 0.015154084747743726, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004659)" + }, + "parent_node_id": "node_3334", + "improvement_over_parent": null + }, + "node_3336": { + "node_id": "node_3336", + "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n\nPerformance:\n Mass: 161.51 kg\n Factor of Safety: 0.62\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.5129026848789, + "fos_buckling": 0.6184087457822407, + "fos_yielding": 4.2671290551035685, + "deflection": 0.015163186034614118, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.244)" + }, + "parent_node_id": "node_3335", + "improvement_over_parent": null + }, + "node_3337": { + "node_id": "node_3337", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 186.63 kg\n Factor of Safety: 0.62\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.63219766237984, + "fos_buckling": 0.6163714586808624, + "fos_yielding": 4.262659241387669, + "deflection": 0.013662539225321324, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_3336", + "improvement_over_parent": null + }, + "node_3338": { + "node_id": "node_3338", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0047)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 219.03 kg\n Factor of Safety: 1.43\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": 219.02581730249813, + "fos_buckling": 1.4322750199025902, + "fos_yielding": 4.599008152955181, + "deflection": 0.007191210448548331, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_3337", + "improvement_over_parent": null + }, + "node_3339": { + "node_id": "node_3339", + "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 227.55 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.54758515244717, + "fos_buckling": 1.5252083871383262, + "fos_yielding": 4.600535631349273, + "deflection": 0.00697207729960657, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.546)" + }, + "parent_node_id": "node_3338", + "improvement_over_parent": null + }, + "node_3340": { + "node_id": "node_3340", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3339", + "improvement_over_parent": null + }, + "node_3341": { + "node_id": "node_3341", + "content": "INITIAL DESIGN (Trace 485)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 133.57 kg\n Factor of Safety: 1.46\n Max Deflection: 3.11e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.57220022897218, + "fos_buckling": 1.4638271136531786, + "fos_yielding": 4.4739632733080485, + "deflection": 31098357450099.617, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3342": { + "node_id": "node_3342", + "content": "MODIFICATION: Increase 1 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 142.49 kg\n Factor of Safety: 1.46\n Max Deflection: 3.11e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.4943854855756, + "fos_buckling": 1.4638271136531786, + "fos_yielding": 4.4739632733080485, + "deflection": 31134997887585.027, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.506)" + }, + "parent_node_id": "node_3341", + "improvement_over_parent": null + }, + "node_3343": { + "node_id": "node_3343", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 168.11 kg\n Factor of Safety: 1.36\n Max Deflection: 1.34e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.1109143948702, + "fos_buckling": 1.3599935204615852, + "fos_yielding": 4.156611805951048, + "deflection": 13407923368808.703, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_3342", + "improvement_over_parent": null + }, + "node_3344": { + "node_id": "node_3344", + "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 168.49 kg\n Factor of Safety: 1.29\n Max Deflection: 1.52e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.48595685858965, + "fos_buckling": 1.2873096581559482, + "fos_yielding": 3.934464718030225, + "deflection": 15205155777182.58, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.205)" + }, + "parent_node_id": "node_3343", + "improvement_over_parent": null + }, + "node_3345": { + "node_id": "node_3345", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n Mass: 190.44 kg\n Factor of Safety: 0.71\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.43797068723245, + "fos_buckling": 0.7136102267265929, + "fos_yielding": 3.831380587525613, + "deflection": 0.010182872670278714, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005283)" + }, + "parent_node_id": "node_3344", + "improvement_over_parent": null + }, + "node_3346": { + "node_id": "node_3346", + "content": "MODIFICATION: Increase 4 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0053)]\n\nPerformance:\n Mass: 191.69 kg\n Factor of Safety: 0.71\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.6922624938561, + "fos_buckling": 0.7136102267265934, + "fos_yielding": 5.145326395534688, + "deflection": 0.010071828579097258, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.441)" + }, + "parent_node_id": "node_3345", + "improvement_over_parent": null + }, + "node_3347": { + "node_id": "node_3347", + "content": "MODIFICATION: Increase 9 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 202.52 kg\n Factor of Safety: 1.00\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.52188105790208, + "fos_buckling": 1.0043071264186698, + "fos_yielding": 5.145326395534688, + "deflection": 0.008711374988272883, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.541)" + }, + "parent_node_id": "node_3346", + "improvement_over_parent": null + }, + "node_3348": { + "node_id": "node_3348", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.64117603540302, + "fos_buckling": 1.5260800210906023, + "fos_yielding": 4.604233786990249, + "deflection": 0.00696865847548774, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)" + }, + "parent_node_id": "node_3347", + "improvement_over_parent": null + }, + "node_3349": { + "node_id": "node_3349", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3348", + "improvement_over_parent": null + }, + "node_3350": { + "node_id": "node_3350", + "content": "INITIAL DESIGN (Trace 486)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0068)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0060)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0048)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0062)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0071)]\n\nPerformance:\n Mass: 137.35 kg\n Factor of Safety: 0.37\n Max Deflection: 3.29e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.35078097394884, + "fos_buckling": 0.37388299646676554, + "fos_yielding": 3.58531806539539, + "deflection": 32861090890473.047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3351": { + "node_id": "node_3351", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 156.49 kg\n Factor of Safety: 0.07\n Max Deflection: 4.27e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.4927385352567, + "fos_buckling": 0.06517755777020771, + "fos_yielding": 0.6448594933121079, + "deflection": 427293120670304.0, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_3350", + "improvement_over_parent": null + }, + "node_3352": { + "node_id": "node_3352", + "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (8 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 159.65 kg\n Factor of Safety: 0.24\n Max Deflection: 3.36e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.6499915280058, + "fos_buckling": 0.24391218278735638, + "fos_yielding": 3.1477896813002864, + "deflection": 33552931851522.902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.183)" + }, + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 162.03 kg\n Factor of Safety: 0.62\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.03467383959196, + "fos_buckling": 0.618553132257107, + "fos_yielding": 4.265581509408588, + "deflection": 0.013398641820395612, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_3352", + "improvement_over_parent": null + }, + "node_3354": { + "node_id": "node_3354", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 183.69 kg\n Factor of Safety: 0.62\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.6939701164394, + "fos_buckling": 0.6167953786260792, + "fos_yielding": 4.261731034630337, + "deflection": 0.011995979198051865, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)" + }, + "parent_node_id": "node_3353", + "improvement_over_parent": null + }, + "node_3355": { + "node_id": "node_3355", + "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0049)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 184.30 kg\n Factor of Safety: 0.62\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.2983025368431, + "fos_buckling": 0.6166975840457563, + "fos_yielding": 4.261516369380724, + "deflection": 0.01182750265469376, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.287)" + }, + "parent_node_id": "node_3354", + "improvement_over_parent": null + }, + "node_3356": { + "node_id": "node_3356", + "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0049)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n\nPerformance:\n Mass: 190.57 kg\n Factor of Safety: 0.62\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.5692268314154, + "fos_buckling": 0.6161906931632904, + "fos_yielding": 4.260402967229864, + "deflection": 0.011835701075042856, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.318)" + }, + "parent_node_id": "node_3355", + "improvement_over_parent": null + }, + "node_3357": { + "node_id": "node_3357", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0049)]\n M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 222.96 kg\n Factor of Safety: 1.48\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.96284647153368, + "fos_buckling": 1.4834884472580507, + "fos_yielding": 4.630731918397295, + "deflection": 0.007038115171775165, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_3356", + "improvement_over_parent": null + }, + "node_3358": { + "node_id": "node_3358", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3357", + "improvement_over_parent": null + }, + "node_3359": { + "node_id": "node_3359", + "content": "INITIAL DESIGN (Trace 487)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0034)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0034)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n Mass: 146.42 kg\n Factor of Safety: 0.72\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.42298686510347, + "fos_buckling": 0.7216621879226748, + "fos_yielding": 3.5469656014539104, + "deflection": 0.016070207890110884, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3360": { + "node_id": "node_3360", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0059)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0052)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0039)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0061)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0062)]\n\nPerformance:\n Mass: 165.34 kg\n Factor of Safety: 0.80\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.34065877164835, + "fos_buckling": 0.8014440365636183, + "fos_yielding": 4.000390581159113, + "deflection": 0.014249712211288134, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_3359", + "improvement_over_parent": null + }, + "node_3361": { + "node_id": "node_3361", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n\nPerformance:\n Mass: 191.33 kg\n Factor of Safety: 0.91\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": 191.33483895915117, + "fos_buckling": 0.9061291158598951, + "fos_yielding": 4.621530962265087, + "deflection": 0.012335385413314864, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_3360", + "improvement_over_parent": null + }, + "node_3362": { + "node_id": "node_3362", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n Mass: 193.47 kg\n Factor of Safety: 1.37\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": 193.4705688853122, + "fos_buckling": 1.3718473897574874, + "fos_yielding": 4.128061803105862, + "deflection": 0.008179093434472977, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003357)" + }, + "parent_node_id": "node_3361", + "improvement_over_parent": null + }, + "node_3363": { + "node_id": "node_3363", + "content": "MODIFICATION: Increase 8 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0090)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n Mass: 201.98 kg\n Factor of Safety: 1.37\n Max Deflection: 8.02e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.98464676164542, + "fos_buckling": 1.3685772303000037, + "fos_yielding": 4.089673314783779, + "deflection": 0.008022579961600862, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.427)" + }, + "parent_node_id": "node_3362", + "improvement_over_parent": null + }, + "node_3364": { + "node_id": "node_3364", + "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0060)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0072)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0090)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n\nPerformance:\n Mass: 205.96 kg\n Factor of Safety: 1.32\n Max Deflection: 7.80e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.9594378933183, + "fos_buckling": 1.3231592996024064, + "fos_yielding": 4.088259758300241, + "deflection": 0.007799082541701799, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.205)" + }, + "parent_node_id": "node_3363", + "improvement_over_parent": null + }, + "node_3365": { + "node_id": "node_3365", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0078)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0051)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0102)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 230.02 kg\n Factor of Safety: 1.45\n Max Deflection: 7.00e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.0232109791943, + "fos_buckling": 1.4477609149317163, + "fos_yielding": 4.564601621015241, + "deflection": 0.006998908608926171, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_3364", + "improvement_over_parent": null + }, + "node_3366": { + "node_id": "node_3366", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3365", + "improvement_over_parent": null + }, + "node_3367": { + "node_id": "node_3367", + "content": "INITIAL DESIGN (Trace 488)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0042)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 200.04 kg\n Factor of Safety: 0.98\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": 200.04133430600294, + "fos_buckling": 0.981170070563711, + "fos_yielding": 3.630542220291311, + "deflection": 0.008939283689647507, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3368": { + "node_id": "node_3368", + "content": "MODIFICATION: Increase 6 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 201.12 kg\n Factor of Safety: 0.98\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": 201.11777577295393, + "fos_buckling": 0.9811700705637108, + "fos_yielding": 4.597225485163064, + "deflection": 0.008854966585370293, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.299)" + }, + "parent_node_id": "node_3367", + "improvement_over_parent": null + }, + "node_3369": { + "node_id": "node_3369", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0023)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 226.73 kg\n Factor of Safety: 1.27\n Max Deflection: 7.12e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.73430468224853, + "fos_buckling": 1.2716164518998225, + "fos_yielding": 4.623024942401185, + "deflection": 0.007119749081573594, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_3368", + "improvement_over_parent": null + }, + "node_3370": { + "node_id": "node_3370", + "content": "MODIFICATION: Increase 5 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63180383510849, + "fos_buckling": 1.525979971963475, + "fos_yielding": 4.60328905416054, + "deflection": 0.006968927257006367, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.661)" + }, + "parent_node_id": "node_3369", + "improvement_over_parent": null + }, + "node_3371": { + "node_id": "node_3371", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3370", + "improvement_over_parent": null + }, + "node_3372": { + "node_id": "node_3372", + "content": "INITIAL DESIGN (Trace 489)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 172.03 kg\n Factor of Safety: 0.51\n Max Deflection: 4.20e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.03172238230107, + "fos_buckling": 0.5105318544753285, + "fos_yielding": 3.789318735881017, + "deflection": 0.04203455837490608, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3373": { + "node_id": "node_3373", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 174.42 kg\n Factor of Safety: 0.62\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": 174.41640469388722, + "fos_buckling": 0.6177533255504998, + "fos_yielding": 4.265107187114839, + "deflection": 0.012681056911241459, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_3372", + "improvement_over_parent": null + }, + "node_3374": { + "node_id": "node_3374", + "content": "MODIFICATION: Increase 8 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0044)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0101)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 181.34 kg\n Factor of Safety: 0.62\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.33940336762464, + "fos_buckling": 0.6171920444833041, + "fos_yielding": 4.263876471201481, + "deflection": 0.012476649130381854, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.238)" + }, + "parent_node_id": "node_3373", + "improvement_over_parent": null + }, + "node_3375": { + "node_id": "node_3375", + "content": "MODIFICATION: Increase 3 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0051)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0101)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 188.56 kg\n Factor of Safety: 0.62\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": 188.5583986995253, + "fos_buckling": 0.6166078507908073, + "fos_yielding": 4.262593891574912, + "deflection": 0.012296012323084318, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.548)" + }, + "parent_node_id": "node_3374", + "improvement_over_parent": null + }, + "node_3376": { + "node_id": "node_3376", + "content": "MODIFICATION: Increase 1 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0101)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 197.69 kg\n Factor of Safety: 0.62\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.69064247275801, + "fos_buckling": 0.6158704109138954, + "fos_yielding": 4.260972495234458, + "deflection": 0.011766209681886276, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.524)" + }, + "parent_node_id": "node_3375", + "improvement_over_parent": null + }, + "node_3377": { + "node_id": "node_3377", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0101)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 230.08 kg\n Factor of Safety: 1.53\n Max Deflection: 6.86e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 230.0842621128763, + "fos_buckling": 1.531162569966645, + "fos_yielding": 4.6676142002603775, + "deflection": 0.006858538622553522, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)" + }, + "parent_node_id": "node_3376", + "improvement_over_parent": null + }, + "node_3378": { + "node_id": "node_3378", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3377", + "improvement_over_parent": null + }, + "node_3379": { + "node_id": "node_3379", + "content": "INITIAL DESIGN (Trace 490)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 206.36 kg\n Factor of Safety: 1.14\n Max Deflection: 7.98e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.3551612868848, + "fos_buckling": 1.1447018475167523, + "fos_yielding": 3.4537615321726385, + "deflection": 0.007975467872127096, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3380": { + "node_id": "node_3380", + "content": "MODIFICATION: Increase 4 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 207.94 kg\n Factor of Safety: 1.53\n Max Deflection: 7.83e-03 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 207.94016478404112, + "fos_buckling": 1.5300340998455515, + "fos_yielding": 4.593766450245047, + "deflection": 0.007825357309977531, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.623)" + }, + "parent_node_id": "node_3379", + "improvement_over_parent": null + }, + "node_3381": { + "node_id": "node_3381", + "content": "MODIFICATION: Increase 9 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0048)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 217.41 kg\n Factor of Safety: 1.44\n Max Deflection: 7.48e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.41364340061563, + "fos_buckling": 1.442836489681461, + "fos_yielding": 4.516510215996033, + "deflection": 0.0074769275358831065, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.664)" + }, + "parent_node_id": "node_3380", + "improvement_over_parent": null + }, + "node_3382": { + "node_id": "node_3382", + "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63510541954162, + "fos_buckling": 1.525850275154367, + "fos_yielding": 4.604277421511305, + "deflection": 0.006968720125642743, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.621)" + }, + "parent_node_id": "node_3381", + "improvement_over_parent": null + }, + "node_3383": { + "node_id": "node_3383", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3382", + "improvement_over_parent": null + }, + "node_3384": { + "node_id": "node_3384", + "content": "INITIAL DESIGN (Trace 491)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n\nPerformance:\n Mass: 157.65 kg\n Factor of Safety: 0.50\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.64610847710478, + "fos_buckling": 0.5017665875002906, + "fos_yielding": 2.0912543732670077, + "deflection": 0.015331577479993908, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3385": { + "node_id": "node_3385", + "content": "MODIFICATION: Increase 6 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n\nPerformance:\n Mass: 159.02 kg\n Factor of Safety: 0.50\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": 159.0229311549572, + "fos_buckling": 0.5017665875002907, + "fos_yielding": 3.1472694919315756, + "deflection": 0.014758910748550066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.543)" + }, + "parent_node_id": "node_3384", + "improvement_over_parent": null + }, + "node_3386": { + "node_id": "node_3386", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0062)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0065)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 185.77 kg\n Factor of Safety: 1.29\n Max Deflection: 8.50e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.77126714035455, + "fos_buckling": 1.292582861340343, + "fos_yielding": 3.7611467323563423, + "deflection": 0.008499330420176868, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006525)" + }, + "parent_node_id": "node_3385", + "improvement_over_parent": null + }, + "node_3387": { + "node_id": "node_3387", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.56 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.56063625157955, + "fos_buckling": 1.5254926128972472, + "fos_yielding": 4.600747820289469, + "deflection": 0.006971187597406508, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_3386", + "improvement_over_parent": null + }, + "node_3388": { + "node_id": "node_3388", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3387", + "improvement_over_parent": null + }, + "node_3389": { + "node_id": "node_3389", + "content": "INITIAL DESIGN (Trace 492)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0033)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n Mass: 125.05 kg\n Factor of Safety: 0.90\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": 125.05304375493944, + "fos_buckling": 0.8980604438992298, + "fos_yielding": 2.6364594715018823, + "deflection": 0.012404614310526321, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3390": { + "node_id": "node_3390", + "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0043)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0030)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0037)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0028)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0021)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0030)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0044)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0039)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0045)]\n\nPerformance:\n Mass: 127.31 kg\n Factor of Safety: 0.92\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": 127.31304886539488, + "fos_buckling": 0.9152737957312597, + "fos_yielding": 2.6367966013833994, + "deflection": 0.012270952461282096, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.192)" + }, + "parent_node_id": "node_3389", + "improvement_over_parent": null + }, + "node_3391": { + "node_id": "node_3391", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0049)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0043)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0032)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0024)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0034)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0051)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0051)]\n\nPerformance:\n Mass: 144.06 kg\n Factor of Safety: 1.02\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.06140044919542, + "fos_buckling": 1.023811316234246, + "fos_yielding": 2.981609627926529, + "deflection": 0.0108651087300754, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_3390", + "improvement_over_parent": null + }, + "node_3392": { + "node_id": "node_3392", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 160.30 kg\n Factor of Safety: 1.12\n Max Deflection: 9.78e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.30455132370986, + "fos_buckling": 1.123737965173405, + "fos_yielding": 3.3155557353668654, + "deflection": 0.009782276990480288, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_3391", + "improvement_over_parent": null + }, + "node_3393": { + "node_id": "node_3393", + "content": "MODIFICATION: Increase 2 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0054)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0048)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0057)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0050)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0057)]\n\nPerformance:\n Mass: 163.58 kg\n Factor of Safety: 1.16\n Max Deflection: 9.63e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.57938807356203, + "fos_buckling": 1.1606298715618033, + "fos_yielding": 3.3162060541738243, + "deflection": 0.00962778010138039, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.277)" + }, + "parent_node_id": "node_3392", + "improvement_over_parent": null + }, + "node_3394": { + "node_id": "node_3394", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0054)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0064)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0057)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 182.90 kg\n Factor of Safety: 1.28\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": 182.9046936872269, + "fos_buckling": 1.2760710464683092, + "fos_yielding": 3.7055512410027123, + "deflection": 0.00862933550602901, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_3393", + "improvement_over_parent": null + }, + "node_3395": { + "node_id": "node_3395", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.39 kg\n Factor of Safety: 1.52\n Max Deflection: 6.98e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.38954454584857, + "fos_buckling": 1.5248382047368942, + "fos_yielding": 4.599844786054705, + "deflection": 0.006975974299637301, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_3394", + "improvement_over_parent": null + }, + "node_3396": { + "node_id": "node_3396", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3395", + "improvement_over_parent": null + }, + "node_3397": { + "node_id": "node_3397", + "content": "INITIAL DESIGN (Trace 493)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0063)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0055)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0041)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0044)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0047)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0058)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0065)]\n\nPerformance:\n Mass: 179.24 kg\n Factor of Safety: 1.07\n Max Deflection: 8.91e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.2426952180148, + "fos_buckling": 1.0725913140842522, + "fos_yielding": 3.771910154209164, + "deflection": 0.008905844293157715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3398": { + "node_id": "node_3398", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0070)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0062)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0061)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0046)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0034)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0049)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0053)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0064)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0073)]\n\nPerformance:\n Mass: 197.77 kg\n Factor of Safety: 1.17\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": 197.76685633031303, + "fos_buckling": 1.1699168636406918, + "fos_yielding": 4.157989888039204, + "deflection": 0.008087304070283914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_3397", + "improvement_over_parent": null + }, + "node_3399": { + "node_id": "node_3399", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0059)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 219.25 kg\n Factor of Safety: 1.28\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": 219.2505100237743, + "fos_buckling": 1.2796377236687309, + "fos_yielding": 4.604832499639734, + "deflection": 0.007311177540550568, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_3398", + "improvement_over_parent": null + }, + "node_3400": { + "node_id": "node_3400", + "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.51 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.51246685827297, + "fos_buckling": 1.5253790069911002, + "fos_yielding": 4.601940320959207, + "deflection": 0.006972562224271802, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.376)" + }, + "parent_node_id": "node_3399", + "improvement_over_parent": null + }, + "node_3401": { + "node_id": "node_3401", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3400", + "improvement_over_parent": null + }, + "node_3402": { + "node_id": "node_3402", + "content": "INITIAL DESIGN (Trace 494)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0042)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0036)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0027)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0020)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0029)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0043)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0024)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0043)]\n\nPerformance:\n Mass: 121.48 kg\n Factor of Safety: 0.86\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": 121.47894164885405, + "fos_buckling": 0.8628455360543688, + "fos_yielding": 2.5709206731583514, + "deflection": 0.012827126511561742, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3403": { + "node_id": "node_3403", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0031)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 153.41 kg\n Factor of Safety: 1.06\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": 153.41066852744314, + "fos_buckling": 1.0596241785985332, + "fos_yielding": 3.241905324597266, + "deflection": 0.010194022694779556, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_3402", + "improvement_over_parent": null + }, + "node_3404": { + "node_id": "node_3404", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0066)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0059)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0058)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0044)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0032)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0047)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0069)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0038)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0069)]\n\nPerformance:\n Mass: 188.67 kg\n Factor of Safety: 1.26\n Max Deflection: 8.32e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.6743192579595, + "fos_buckling": 1.2627618741299236, + "fos_yielding": 3.9805027313346426, + "deflection": 0.008321770383024308, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_3403", + "improvement_over_parent": null + }, + "node_3405": { + "node_id": "node_3405", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0045)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 218.30 kg\n Factor of Safety: 1.42\n Max Deflection: 7.22e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.30398031436079, + "fos_buckling": 1.4220892167813677, + "fos_yielding": 4.599105550516028, + "deflection": 0.007216263403255052, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_3404", + "improvement_over_parent": null + }, + "node_3406": { + "node_id": "node_3406", + "content": "MODIFICATION: Increase 8 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.45 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.45148625097443, + "fos_buckling": 1.525086718146683, + "fos_yielding": 4.600811254428715, + "deflection": 0.00697425402425824, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.610)" + }, + "parent_node_id": "node_3405", + "improvement_over_parent": null + }, + "node_3407": { + "node_id": "node_3407", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3406", + "improvement_over_parent": null + }, + "node_3408": { + "node_id": "node_3408", + "content": "INITIAL DESIGN (Trace 495)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n\nPerformance:\n Mass: 131.70 kg\n Factor of Safety: 0.17\n Max Deflection: 4.01e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.6981672551373, + "fos_buckling": 0.16645345252722088, + "fos_yielding": 0.9137188351054761, + "deflection": 40109140596006.95, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3409": { + "node_id": "node_3409", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0022)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n\nPerformance:\n Mass: 157.47 kg\n Factor of Safety: 0.81\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": 157.4676321371188, + "fos_buckling": 0.8137529926545193, + "fos_yielding": 3.6600136981940556, + "deflection": 0.011052275362633568, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006311)" + }, + "parent_node_id": "node_3408", + "improvement_over_parent": null + }, + "node_3410": { + "node_id": "node_3410", + "content": "MODIFICATION: Increase 5 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n\nPerformance:\n Mass: 157.95 kg\n Factor of Safety: 0.81\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.9520990714238, + "fos_buckling": 0.8136492133384544, + "fos_yielding": 3.6552644362124127, + "deflection": 0.011024847579055586, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.368)" + }, + "parent_node_id": "node_3409", + "improvement_over_parent": null + }, + "node_3411": { + "node_id": "node_3411", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n\nPerformance:\n Mass: 198.59 kg\n Factor of Safety: 0.98\n Max Deflection: 8.81e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.59083301008235, + "fos_buckling": 0.9812461545102884, + "fos_yielding": 4.587361599988128, + "deflection": 0.008814842120443561, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_3410", + "improvement_over_parent": null + }, + "node_3412": { + "node_id": "node_3412", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n\nPerformance:\n Mass: 213.97 kg\n Factor of Safety: 1.39\n Max Deflection: 7.31e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.97472929959883, + "fos_buckling": 1.3850593920389023, + "fos_yielding": 4.6011376300257, + "deflection": 0.00730760591287689, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004162)" + }, + "parent_node_id": "node_3411", + "improvement_over_parent": null + }, + "node_3413": { + "node_id": "node_3413", + "content": "MODIFICATION: Increase 2 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n\nPerformance:\n Mass: 217.36 kg\n Factor of Safety: 1.41\n Max Deflection: 7.25e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.3616511296559, + "fos_buckling": 1.4068840326858438, + "fos_yielding": 4.601478330583518, + "deflection": 0.007252049931481862, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.199)" + }, + "parent_node_id": "node_3412", + "improvement_over_parent": null + }, + "node_3414": { + "node_id": "node_3414", + "content": "MODIFICATION: Increase 8 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0113)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n\nPerformance:\n Mass: 228.45 kg\n Factor of Safety: 1.41\n Max Deflection: 6.97e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.44558480376662, + "fos_buckling": 1.4073676346949455, + "fos_yielding": 4.652978586122109, + "deflection": 0.006967297077913813, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.387)" + }, + "parent_node_id": "node_3413", + "improvement_over_parent": null + }, + "node_3415": { + "node_id": "node_3415", + "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0141)]\n M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0042)]\n\nPerformance:\n Mass: 237.51 kg\n Factor of Safety: 1.41\n Max Deflection: 6.81e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.51302311949928, + "fos_buckling": 1.4071226363185287, + "fos_yielding": 4.681756845829485, + "deflection": 0.006812336958043549, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.247)" + }, + "parent_node_id": "node_3414", + "improvement_over_parent": null + }, + "node_3416": { + "node_id": "node_3416", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3415", + "improvement_over_parent": null + }, + "node_3417": { + "node_id": "node_3417", + "content": "INITIAL DESIGN (Trace 496)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3418": { + "node_id": "node_3418", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0056)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n\nPerformance:\n Mass: 164.13 kg\n Factor of Safety: 0.84\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": 164.12840082547962, + "fos_buckling": 0.8438322453707728, + "fos_yielding": 3.8162342040183317, + "deflection": 0.010565059513278477, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004425)" + }, + "parent_node_id": "node_3417", + "improvement_over_parent": null + }, + "node_3419": { + "node_id": "node_3419", + "content": "MODIFICATION: Increase 2 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0064)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0071)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0042)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0031)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0066)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0067)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0044)]\n\nPerformance:\n Mass: 168.57 kg\n Factor of Safety: 0.84\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": 168.56793085829455, + "fos_buckling": 0.8433398375835233, + "fos_yielding": 3.793296333325281, + "deflection": 0.010449960146225718, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.272)" + }, + "parent_node_id": "node_3418", + "improvement_over_parent": null + }, + "node_3420": { + "node_id": "node_3420", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0087)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n\nPerformance:\n Mass: 202.88 kg\n Factor of Safety: 0.98\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.8823563628791, + "fos_buckling": 0.9809753318879577, + "fos_yielding": 4.561495921670017, + "deflection": 0.00871773774114543, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_3419", + "improvement_over_parent": null + }, + "node_3421": { + "node_id": "node_3421", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0087)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n\nPerformance:\n Mass: 228.50 kg\n Factor of Safety: 1.48\n Max Deflection: 6.99e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.4988852721737, + "fos_buckling": 1.4777254967185407, + "fos_yielding": 4.577375521552315, + "deflection": 0.006985629973206782, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)" + }, + "parent_node_id": "node_3420", + "improvement_over_parent": null + }, + "node_3422": { + "node_id": "node_3422", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3421", + "improvement_over_parent": null + }, + "node_3423": { + "node_id": "node_3423", + "content": "INITIAL DESIGN (Trace 497)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0021)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n\nPerformance:\n Mass: 137.04 kg\n Factor of Safety: 0.73\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": 137.03611616451082, + "fos_buckling": 0.7301863293986092, + "fos_yielding": 2.3248965108913566, + "deflection": 0.012908112738302144, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3424": { + "node_id": "node_3424", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0052)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0045)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0021)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0025)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0036)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0054)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0048)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0054)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n\nPerformance:\n Mass: 154.17 kg\n Factor of Safety: 0.80\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.17124770618906, + "fos_buckling": 0.8014296831737688, + "fos_yielding": 2.3358969969049697, + "deflection": 0.010359972899492984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004716)" + }, + "parent_node_id": "node_3423", + "improvement_over_parent": null + }, + "node_3425": { + "node_id": "node_3425", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0025)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 179.31 kg\n Factor of Safety: 0.92\n Max Deflection: 8.93e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.30985796986158, + "fos_buckling": 0.9236569351288881, + "fos_yielding": 2.724299115568063, + "deflection": 0.008931018590160149, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_3424", + "improvement_over_parent": null + }, + "node_3426": { + "node_id": "node_3426", + "content": "MODIFICATION: Increase 4 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0029)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0063)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 180.58 kg\n Factor of Safety: 1.26\n Max Deflection: 8.74e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.58179156278445, + "fos_buckling": 1.2623113462584261, + "fos_yielding": 3.6583239753747954, + "deflection": 0.008738403502613271, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.621)" + }, + "parent_node_id": "node_3425", + "improvement_over_parent": null + }, + "node_3427": { + "node_id": "node_3427", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.79 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.78712472142604, + "fos_buckling": 1.5268205662504644, + "fos_yielding": 4.607265616791601, + "deflection": 0.006964384372306733, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_3426", + "improvement_over_parent": null + }, + "node_3428": { + "node_id": "node_3428", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3427", + "improvement_over_parent": null + }, + "node_3429": { + "node_id": "node_3429", + "content": "INITIAL DESIGN (Trace 498)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 207.58 kg\n Factor of Safety: 0.75\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": 207.5797919671292, + "fos_buckling": 0.7481856257498248, + "fos_yielding": 5.035725411258568, + "deflection": 0.01192207650837022, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3430": { + "node_id": "node_3430", + "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n\nPerformance:\n Mass: 214.15 kg\n Factor of Safety: 0.75\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": 214.14692747468018, + "fos_buckling": 0.74881778476693, + "fos_yielding": 5.033002612613499, + "deflection": 0.011930260987009677, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.464)" + }, + "parent_node_id": "node_3429", + "improvement_over_parent": null + }, + "node_3431": { + "node_id": "node_3431", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n\nPerformance:\n Mass: 216.53 kg\n Factor of Safety: 1.19\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": 216.53160978626633, + "fos_buckling": 1.190020533492366, + "fos_yielding": 4.517091819376915, + "deflection": 0.007471040693240477, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)" + }, + "parent_node_id": "node_3430", + "improvement_over_parent": null + }, + "node_3432": { + "node_id": "node_3432", + "content": "MODIFICATION: Increase 10 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0052)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0059)]\n\nPerformance:\n Mass: 217.68 kg\n Factor of Safety: 1.21\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": 217.68150319461003, + "fos_buckling": 1.2060622321947452, + "fos_yielding": 4.50628502380124, + "deflection": 0.007370363433995272, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.562)" + }, + "parent_node_id": "node_3431", + "improvement_over_parent": null + }, + "node_3433": { + "node_id": "node_3433", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3432", + "improvement_over_parent": null + }, + "node_3434": { + "node_id": "node_3434", + "content": "INITIAL DESIGN (Trace 499)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0053)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0047)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0035)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0026)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0038)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0055)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0049)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0056)]\n\nPerformance:\n Mass: 156.41 kg\n Factor of Safety: 1.06\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": 156.41003175476567, + "fos_buckling": 1.0597250461179373, + "fos_yielding": 3.252960921879089, + "deflection": 0.010020520479583097, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3435": { + "node_id": "node_3435", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0061)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0053)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0040)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0030)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0043)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0063)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0056)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0064)]\n\nPerformance:\n Mass: 176.68 kg\n Factor of Safety: 1.18\n Max Deflection: 8.89e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.68230830241336, + "fos_buckling": 1.1815510421481619, + "fos_yielding": 3.671369335499285, + "deflection": 0.008891170566607503, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_3434", + "improvement_over_parent": null + }, + "node_3436": { + "node_id": "node_3436", + "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=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 222.16 kg\n Factor of Safety: 1.44\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": 222.15576581038994, + "fos_buckling": 1.4420692706466627, + "fos_yielding": 4.607154632387228, + "deflection": 0.007107602887776038, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_3435", + "improvement_over_parent": null + }, + "node_3437": { + "node_id": "node_3437", + "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.83 kg\n Factor of Safety: 1.53\n Max Deflection: 6.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.83083190505232, + "fos_buckling": 1.5270531480554017, + "fos_yielding": 4.608241353286375, + "deflection": 0.006963035765647153, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.379)" + }, + "parent_node_id": "node_3436", + "improvement_over_parent": null + }, + "node_3438": { + "node_id": "node_3438", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0078)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0069)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0409, t=0.0068)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0051)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0038)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0055)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0081)]\n M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0072)]\n M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0488, t=0.0081)]\n\nPerformance:\n Mass: 227.63 kg\n Factor of Safety: 1.53\n Max Deflection: 6.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 227.63103328021523, + "fos_buckling": 1.52597990831591, + "fos_yielding": 4.604198848534729, + "deflection": 0.006969006461851636, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3437", + "improvement_over_parent": null + } + }, + "edges": [ + { + "from_node": "node_0", + "to_node": "node_1", + "edge_type": "modification", + "reasoning": "Increase all_members thickness by 22%", + "metadata": null, + "grammar_action": "SCALE_PARAM(all_members, thickness, 1.221)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_1", + "to_node": "node_2", + "edge_type": "modification", + "reasoning": "Increase 0 thickness by 23%", + "metadata": null, + "grammar_action": "SCALE_PARAM(0, thickness, 1.227)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_2", + "to_node": "node_3", + "edge_type": "modification", + "reasoning": "Add member connecting joints 1 and 5", + "metadata": null, + "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_3", + "to_node": "node_4", + "edge_type": "modification", + "reasoning": "Increase 8 thickness by 24%", + "metadata": null, + "grammar_action": "SCALE_PARAM(8, thickness, 1.242)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_4", + "to_node": "node_5", + "edge_type": "modification", + "reasoning": "Increase 7 thickness by 64%", + "metadata": null, + "grammar_action": "SCALE_PARAM(7, thickness, 1.639)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_5", + "to_node": "node_6", + "edge_type": "modification", + "reasoning": "Optimal solution", + "metadata": null, + "grammar_action": "OPTIMAL_STATE", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_7", + "to_node": "node_8", + "edge_type": "modification", + "reasoning": "Increase all_members thickness by 23%", + "metadata": null, + "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_8", + "to_node": "node_9", + "edge_type": "modification", + "reasoning": "Increase 0 thickness by 23%", + "metadata": null, + "grammar_action": "SCALE_PARAM(0, thickness, 1.232)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_9", + "to_node": "node_10", + "edge_type": "modification", + "reasoning": "Add member connecting joints 1 and 5", + "metadata": null, + "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005865)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_10", + "to_node": "node_11", + "edge_type": "modification", + "reasoning": "Increase 4 thickness by 26%", + "metadata": null, + "grammar_action": "SCALE_PARAM(4, thickness, 1.259)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + 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