고체역학 (Beer) — Analysis and Design of Beams for Bending: Problem 5.162

5.162 The beam AB, consisting of an aluminum plate of uniform thickness \(b\) and length \(L\), is to support the load shown. (a) Knowing the beam is to be of constant strength, express \(h\) in terms of \(x\), \(L\), and \(h_0\) for portion \(AC\) of the beam. (b) Determine the maximum allowable load if \(L = 800\text{ mm}\), \(h_0 = 200\text{ mm}\), \(b = 25\text{ mm}\), and \(\sigma_{\text{all}} = 72\text{ MPa}\).