A rectangular beam of width b and depth h is subjected to pure bending with a moment M = βMY, where β varies from 1.0 to 1.5 (note that at β = 1.5, M = MP). The material is elastic–perfectly plastic. As β varies from 1.0 to 1.5, the dimension y varies from h/2 to 0, where y is the distance from the neutral axis to the boundary between the elastic and plastic regions of the beam cross section. Develop a general relationship between β and the dimension y. Plot your relationship.
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