고체역학 (Beer) — Stress and Strain—Axial Loading: Problem 2.51

2.51 A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made of steel (\(E_s = 200\text{ GPa}\), \(\alpha_s = 11.7 \times 10^{-6}/^\circ\text{C}\)) and portion BC is made of brass (\(E_b = 105\text{ GPa}\), \(\alpha_b = 20.9 \times 10^{-6}/^\circ\text{C}\)). Knowing that the rod is initially unstressed, determine the compressive force induced in ABC when there is a temperature rise of \(50^\circ\text{C}\).