고체역학 (Gere) — Axially Loaded Members: Problem 2.5-14

2.5-14 A brass sleeve $S$ is fitted over a steel bolt $B$ (see figure), and the nut is tightened until it is just snug. The bolt has a diameter $d_B = 25\text{ mm}$, and the sleeve has inside and outside diameters $d_1 = 26\text{ mm}$ and $d_2 = 36\text{ mm}$, respectively. Calculate the temperature rise $\Delta T$ that is required to produce a compressive stress of 25 MPa in the sleeve. (Use material properties as follows: for the sleeve, $\alpha_s = 21 \times 10^{-6}/^\circ\text{C}$ and $E_s = 100\text{ GPa}$; for the bolt, $\alpha_B = 10 \times 10^{-6}/^\circ\text{C}$ and $E_B = 200\text{ GPa}$.)