What must the outside diameter of the inner cylinder be for the composite cylinder in Problem 11.11 if the maximum shear stress at the inner radius of the inner cylinder is equal to the maximum shear stress at the inner radius of the outer cylinder? What are the values for the circumferential stress at the inside of the composite cylinder and the maximum shear stress?
Problem 11.11
A composite aluminum alloy (E = 72.0 GPa and v = 0.33) cylinder is made up of an inner cylinder with inner and outer diameters of 80 and 120+ mm, respectively, and an outer cylinder with inner and outer diameters of 120 and 240 mm, respectively. The composite cylinder is subjected to an internal pressure of 160 MPa. What must the outside diameter of the inner cylinder be if the circumferential stress at the inside of the composite cylinder is equal to 130 MPa?
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