## Q. 11.3

A closed-end thin-walled pressure vessel of some titanium alloy $\left(\sigma_{y p}=800 MPa\right)$ has an inside diameter of 38 mm and a wall thickness of 2 mm. The cylinder is subjected to an internal pressure of p = 22.0 MPa and an axial load of P = 50.0 kN. Calculate the maximum value of the torque T that can be applied to the cylinder if the factor of safety against yielding using maximum shear stress criterion used is 1.90.

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