고체역학 (Gere) — Stresses in Beams (Basic Topics): Problem 5.7-6

5.7-6 A cantilever beam AB with rectangular cross sections of a constant width \(b\) and varying height \(h_x\) is subjected to a uniform load of intensity \(q\) (see figure). How should the height \(h_x\) vary as a function of \(x\) (measured from the free end of the beam) in order to have a fully stressed beam? (Express \(h_x\) in terms of the height \(h_B\) at the fixed end of the beam.)