고체역학 (Beer) — Stress and Strain—Axial Loading: Problem 2.59

2.59 Determine (a) the compressive force in the bars shown after a temperature rise of 180°F, (b) the corresponding change in length of the bronze bar. Given Data from Fig. P2.58 and P2.59: Bronze Bar: \(A_b = 2.4 \text{ in}^2\), \(E_b = 15 \times 10^6 \text{ psi}\), \(\alpha_b = 12 \times 10^{-6}/^\circ\text{F}\), \(L_b = 14 \text{ in.}\) Aluminum Bar: \(A_a = 2.8 \text{ in}^2\), \(E_a = 10.6 \times 10^6 \text{ psi}\), \(\alpha_a = 12.9 \times 10^{-6}/^\circ\text{F}\), \(L_a = 18 \text{ in.}\) Initial Gap: \(\delta_{gap} = 0.02 \text{ in.}\) (at 75°F) Temperature Rise: \(\Delta T = 180^\circ\text{F}\)