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A cylindrical pressure vessel of average radius 100 mm, and wall thickness of 5.0 mm is constrained at both ends so no axial strain


A cylindrical pressure vessel of average radius 100 mm, and wall thickness of 5.0 mm is constrained at both ends so no axial strain can develop. The pressure vessel is made of aluminum, with a modulus of 70 GPa, Poisson's ratio of 0.32, and a coefficient of thermal expansion of 23 x 106 /K. The cylinder is pumped up to a pressure of 5.0 MPa, and then heated up maintaining the pressure at 5.0 MPa. What is the maximum change in temperature that can occur without the maximum shear stress exceeding 75 MPa?

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