copper bar

Problem 269
As shown in Fig. P-269, there is a gap between the aluminum bar and the rigid slab that is supported by two copper bars. At 10°C, Δ = 0.18 mm. Neglecting the mass of the slab, calculate the stress in each rod when the temperature in the assembly is increased to 95°C. For each copper bar, A = 500 mm², E = 120 GPa, and α = 16.8 µm/(m·°C). For the aluminum bar, A = 400 mm², E = 70 GPa, and α = 23.1 µm/(m·°C).