02-07ChapGere.0014

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Problem 2.12-4 A load P acts on a horizontal beam that is supported by four rods arranged in the symmetrical pattern shown in the figure. Each rod has cross-sectional area A and the material is elastoplastic with yield stress s Y . Determine the plastic load P P . Solution 2.12-4 Beam supported by four rods SECTION 2.12 Elastoplastic Analysis 173 P a a At the plastic load, all four rods are stressed to the yield stress. F 5 s Y A Sum forces in the vertical direction and solve for the load: P P 5 2 F 1 2 F sin a P P 5 2 s Y A (1 1 sin a ) P a a P FF Problem 2.12-5
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