고체역학 (Gere) — Axially Loaded Members: Problem 2.5-1

2.5-1 The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 10°C. What compressive stress \(\sigma\) is produced in the rails when they are heated by the sun to 52°C if the coefficient of thermal expansion \(\alpha = 12 \times 10^{-6}/^{\circ}\text{C}\) and the modulus of elasticity \(E = 200 \text{ GPa}\)?