고체역학 (Gere) — Stresses in Beams (Basic Topics): Problem 5.4-3

5.4-3 A 120 mm outside diameter polyethylene pipe designed to carry chemical waste is placed in a trench and bent around a quarter-circular \(90^\circ\) bend (see figure). The bent section of the pipe is 16 m long. (a) Determine the maximum compressive strain \(\epsilon_{max}\) in the pipe. (b) If the normal strain cannot exceed \(6.1 \times 10^{-3}\), what is the maximum diameter of the pipe? (c) If \(d = 120\text{ mm}\), what is the minimum acceptable length of the bent section of the pipe?