Beer & Johnston — Stress and Strain—Axial Loading: Problem 2.38

2.38 The length of the assembly shown decreases by 0.15 mm when an axial force is applied by means of rigid end plates. Determine (a) the magnitude of the applied force, (b) the corresponding stress in the steel core. From Figure P2.37 and P2.38: - Length of assembly, \( L = 250 \text{ mm} \) - Steel core: \( E_s = 200 \text{ GPa} \), square cross-section with sides of \( 20 \text{ mm} \) - Brass shell: \( E_b = 105 \text{ GPa} \), wall thickness of \( 5 \text{ mm} \) on each side