고체역학 (Gere) — Axially Loaded Members: Problem 2.6-15

2.6-15 A circular brass bar with a diameter \( d \) is member \( AC \) in truss \( ABC \) that has load \( P = 30 \text{ kN} \) applied at joint \( C \). Bar \( AC \) is composed of two segments brazed together on a plane \( pq \), making an angle \( \alpha = 36^\circ \) with the axis of the bar (see figure). The allowable stresses in the brass are \( 90 \text{ MPa} \) in tension and \( 48 \text{ MPa} \) in shear. On the brazed joint, the allowable stresses are \( 40 \text{ MPa} \) in tension and \( 20 \text{ MPa} \) in shear. What is the tensile force \( N_{AC} \) in bar \( AC \)? What is the minimum required diameter \( d_{\text{min}} \) of bar \( AC \)?