Question

The two cylindrical rod segments are fixed to the rigid walls such that there is a gap of 0.01 in. between them when T_1 = 60 degree F. What larger temperature T_2 is required in order to just close the gap? Each rod has a diameter of 1.25 in. Determine the average normal stress in each rod if T_2 = 300 degree F. Take alpha_cu = 13(10^-6)/degree F, E_al = 10(10^3) ksi, (sigma_Y)_al = 40 ksi, alpha_cu = 9.4 (10^-6)/degree F, E_cu = 15(10^3) ksi, and (sigma_Y)_cu = 50 ksi. The two cylindrical rod segments are fixed to the rigid walls such that there is a gap of 0.01 in. between them when T_1 = 60 degree F. Each rod has a diameter of 1.25 in. Determine the average normal stress in each rod if T_2 = 400 degree F, and also calculate the new length of the aluminum segment. Take alpha_al = 13(10^-6)/degree F, E_al = 10(10^3) ksi, (sigma Y)_al = 40 ksi, alpha_cu = 9.4 (10^-6)/degree F (sigma_Y)_cu = 50 ksi, and E_cu = 15(10^3) ksi.

Answer 1

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