7-30. 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-plastic, then at a distance x 6 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 6-48 e . Prove that the maximum shear stress developed in the beam is given by tmax = 3 2(P>A!), where A! = 2y!b, the cross-sectional area of the elastic core. | |
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