고체역학 (Gere) — Axially Loaded Members: Problem 2.6-10

2.6-10 A prismatic bar with a length \( L = 1\text{ m} \) and cross-sectional area \( A = 1200\text{ mm}^2 \) is supported at the ends. The bar is then subjected to a temperature increase of \( \Delta T = 25^\circ\text{C} \). Calculate the complete state of stress acting on an inclined section \( rs \) that is cut through the bar at an angle \( \theta = 45^\circ \). Use \( E = 200\text{ GPa} \) and the coefficient of thermal expansion \( \alpha = 12 \times 10^{-6} /^\circ\text{C} \).