고체역학 (Gere) — Stresses in Beams (Basic Topics): Problem 5.4-7

5.4-7 A simply supported beam with a length \(L = 3 \text{ m}\) and height \(175 \text{ mm}\) is bent by couples \(M_0\) into a circular arc with downward deflection \(\delta\) at the midpoint. If the curvature of the beam is \(9.8 \times 10^{-3} \text{ m}^{-1}\), calculate the deflection, \(\delta\), at the mid-span of the beam and the longitudinal strain at the bottom fiber given that the distance between the neutral surface and the bottom surface is \(87.5 \text{ mm}\).