Prob. 3.6-11. The pipe-sleeve element (1) and cylindrical- rod core element (2) in Fig. P3.6-11 are...

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Prob. 3.6-11. The pipe-sleeve element (1) and cylindrical- rod core element (2) in Fig. P3.6-11 are both stress-free after they are attached to rigid end-plates. (a) Determine expres- sions for the stresses and 2 in the pipe and rod, respec- tively, if the temperature of the system is uniformly in- creased by AT. Express your answer in terms of E1, E2, A1, A2, L = L = L, a1, a2, and AT, and (b) determine an expres- sion for the total elongation, e, of the pipe/rod system due to the uniform temperature increase AT. 1 (2) (1) L P3.6-11 (2) (1) Prob. 3.6-11. The pipe-sleeve element (1) and cylindrical- rod core element (2) in Fig. P3.6-11 are both stress-free after they are attached to rigid end-plates. (a) Determine expres- sions for the stresses and 2 in the pipe and rod, respec- tively, if the temperature of the system is uniformly in- creased by AT. Express your answer in terms of E1, E2, A1, A2, L = L = L, a1, a2, and AT, and (b) determine an expres- sion for the total elongation, e, of the pipe/rod system due to the uniform temperature increase AT. 1 (2) (1) L P3.6-11 (2) (1)