A cantilever beam AB consisting of a steel plate of

Chapter 5, Problem 5.139

(choose chapter or problem)

A cantilever beam AB consisting of a steel plate of uniform depth h and variable width b is to support the distributed load w along its centerline AB. (a) Knowing that the beam is to be of constant strength, express b in terms of x, L, and \(b_0\). (b) Determine the maximum allowable value of w if L = 15 in., \(b_0 = 8 \text{ in.}\), \(h = 0.75 \text{ in.}\), and \(\sigma_\text{all} = 24 \text{ ksi}\).

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