Results Truss AE AF AB AG BC BG BH CD CH DH EF EK EI EJ FG FJ GH IL IJ JL Table 2: Result from the Calculation. Nodes 1,
Posted: Sun Jul 10, 2022 11:44 am
Truss AE AF AB AG BC BG BH CD CH DH EF EK EI EJ FG FJ GH IL IJ JL Table 3: Result From Abaqus Simulation. Nodes Stress in plane (psi) 8.73016E+03 -9.225E+03 4.10000E+03 2.25000E+03 2.25000E+03 -562.500 1.74829E+03 2.02500E+03 -548.293 2.02500E+03 1,5 1,6 1,2 1,7 2,3 2,7 2,8 3,4 3,8 4,8 5,6 5,9 5,10 5,11 6,7 6,11 7,8 10,12 10,11 11,12 -5.8E+02 3.36607E+03 -3.36607E+03 95.9519E-12 -562.500 -7.5125E+03 562.500 -2.92946E+03 -2.24405E+03 -2.92946E+03 Force (lb) 17460.2 18450 8200 4500 3496.6 1124 3496.6 4050 1096.586 4050 1160 6732 6732 1.919E-10 1125 15024 1125 5858.92 4488 5859.8 Table 4: Percentage error of each member Truss AE AF Discussion % error (calculated value abaqus simulation)/calculated value Tension Compression Tension Tension Tension Compression Tension Tension Compression Tension Compression Tension Compression Tension 26.71491 24.66216 State Compression Compression Tension Compression Compression Compression Percentage error (%)
Discussion % error = (calculated value abaqus simulation)/calculated value Table 4: Percentage error of each member Truss AE AF AB AG BC BG BH CD CH DH EF EK EI EJ FG FJ GH IL IJ JL Percentage error (%) 26.71491 24.66216 28.57138 22.72716 14.71707 48.90909 43.50854 1.219512 9.6586 1.25 0.384229 0.00208 74.17522 100 2.644605 1.513514 36.71847 12.70743 5.805314 8.120575 Finite Element Method (FEM) is a numerical approach for continuum materials and is element based. And for this question, the problem arises when the number of unknown variables is exceeding the equation that can be used to solve the problems. Hence the use of the joint is inevitable as the joint method is better than FEM because of compatibility equations, constitutive relations and linear response. In addition, the joint method was found to offer a more accurate representation of the behavior of a
CH DH EF EK EI EJ FG FJ Conclusion GH IL IJ JL 9.6586 1.25 0.384229 - Conclude the result, discussion and overall. 0.00208 74.17522 100 2.644605 1.513514 36.71847 Finite Element Method (FEM) is a numerical approach for continuum materials and is element based. And for this question, the problem arises when the number of unknown variables is exceeding the equation that can be used to solve the problems. Hence the use of the joint is inevitable as the joint method is better than FEM because of compatibility equations, constitutive relations and linear response. In addition, the joint method was found to offer a more accurate representation of the behavior of a jointed system, including block translation, rotation and collapse. 12.70743 5.805314 8.120575 From the above table it can be seen that some trusses have a very small percentage error, such as CD and EF. On the other hand, some trusses like EJ, have high percentage error, in this case 100% error. The reason for that is, in the simulation, the truss shows a zero member behavior which we can see from the figure before the result section.