Consider a cantilever beam of rectangular cross section of width h and depth h. A lateral...

Consider a cantilever beam of rectangular cross section of width h and depth h. A lateral force P is applied at the free end of the beam (Figure P4.26). The beam material is elastic–perfectly plastic (see Figure 4.4a).

a. Determine the load P = PY that causes initial yield in the beam.

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b. Determine the load P = PPthat produces complete yielding of the cross section in flexure.

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c. Compute the ratio PP/PY.

FIGURE P4.26

FIGURE 4.4 Idealized stress–strain curves. (a) Elastic–perfectly plastic response. (b) Elastic–strain hardening response.