고체역학 (Gere) — Axially Loaded Members: Problem 2.5-9

2.5-9 A flat aluminum alloy bar is fixed at both ends. Segment AB has a slight taper. If the temperature of the bar is raised uniformly by an amount \(\Delta T = 10^\circ\text{C}\), find reactions at A and C. What is the displacement at B? Assume that \(L = 1\text{ m}\), \(t = 6\text{ mm}\), \(b_1 = 50\text{ mm}\), \(b_2 = 60\text{ mm}\), \(E = 72\text{ GPa}\), and the coefficient of thermal expansion \(\alpha = 23 \times 10^{-6}/^\circ\text{C}\).