The beam has a rectangular cross section and is subjected to a load P that is just large e...

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. It the material is elastic-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'b. This situation has been described by Eq. 6-30 and the moment M is distributed over the cross section as shown in Fig. 6-48e. : Prove that the maximum shear stress developed in the beam is given by where A' = 2y'b, the cfoss-sectional area of the elastic core.