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The beam has a rectangular cross section and is subjected to a load P that is just large enough to develop a fully plastic moment Mp = PL at the fixed support. If the material is elastic perfectly plastic, then at a distance x < L the moment M = Px creates a region of plastic yielding with an associated elastic core having a height 2y'. This situation has been described by Eq.6–30 and the moment M is distributed over the cross section as shown in Fig.63–48e. Prove that the maximum shear stress in the beam is given by
Prob. 7–30
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Mechanics of Materials
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- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning