Gere & Goodno — Stresses in Beams (Basic Topics): Problem 5.5-15

5.5-15 Determine the maximum tensile stress \(\sigma_t\) (due to pure bending about a horizontal axis through \(C\) by positive bending moments \(M\)) for beams having cross sections as follows (see figure). (a) A semicircle of diameter \(d\). (b) An isosceles trapezoid with bases \(b_1 = b\) and \(b_2 = 4b/3\) and altitude \(h\). (c) A circular sector with \(\alpha = \pi/3\) and \(r = d/2\).