# The Shape Of The System At Point 1 And 2 Essay

2076 Words Sep 24th, 2016 9 Pages
The shape of the system at point 1 and 2 are labeled and shown below (Figure 5.12). The moment of the system was solved for in ABAQUS and superimposed in red over the shape of the column. It can be seen that the system moment is zero in a variety of places over the course of the loading. One place the moment it zero here is at L/2. The moment at L/2 is only zero during line-contact. Due to the symmetric nature of the buckling sequence, line-contact repeats here throughout the course of loading. Figure 5.12 Shapes of 6in3w column undergoing 1-2 modal transition with areas with 0 moment highlighted in red
Below is the simulation for the bi-laterally constrained column. Here line-contact was solved for analytically, and is highlighted in red. This system goes through the same modal sequence 1-2-3. It can be seen that the system spends more time in line-contact than in point-contact and pre-contact combined. This would suggest that for systems that often buckle into mode sequence 1-2-3, that a safe place to put a joint in the constraint would be at the L/2. Figure 5.13 Bi-laterally constrained beam with line-contact regions highlighted
5.3.3 Mode 1.5-2.5-3.5 buckling sequence
The second modal sequence that occurs is 1.5-2.5-3.5. This sequence more commonly occurs on longer systems. The 12in3w simulation is depicted below (Figure 5.13). Similarly, the load-displacement is labeled where the corresponding shape snapshots were taken. Figure 5.14 12in3w…

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