1. A cylindrical pressure vessel with hemispherical endcaps has radius r = 2 m, wall thickness t = 10 mm, and is made of steel with yield stress σy = 1800 MPa. It is internally pressurized at p = 2 MPa. Compare the Tresca and von Mises safety factors.
2. An annealed stainless steel cylindrical pressure vessel has an inner radius of 250 mm and a wall thickness of 10 mm. In addition to an internal pressure of p = 4 MPa, the vessel is loaded with a torque T = 200 kNm. Will it fail?