A closed cylinder with inner and outer radii of 60 and 80 mm, respectively, is subjected to an internal pressure p1 = 30.0 MPa and an axial load P = 650 kN. The cylinder is made of a steel that has a yield stress of Y = 280 MPa. Determine the factor of safety SF used in the design of the cylinder based on
a. the maximum shear-stress criterion of failure and
b. the octahedral shear-stress criterion of failure
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