고체역학 (Gere) — Stresses in Beams (Basic Topics): Problem 5.4-1

5.4-1 A steel wire with a diameter of \(d = 1.6 \text{ mm}\) is bent around a cylindrical drum with a radius of \(R = 0.9 \text{ m}\) (see figure). (a) Determine the maximum normal strain \(\epsilon_{\text{max}}\). (b) What is the minimum acceptable radius of the drum if the maximum normal strain must remain below yield? Assume \(E = 210 \text{ GPa}\) and \(\sigma_Y = 690 \text{ MPa}\). (c) If \(R = 0.9 \text{ m}\), what is the maximum acceptable diameter of the wire if the maximum normal strain must remain below yield?