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The spherical face shield of an astronaut’s helmet is made from polycarbonate with a yield strength of 117 MPa. The shield has an outside diameter of 366 mm and a thickness of 5.3 mm. If the shield is successfully pressure tested to 960 kPa on Earth, determine the factor of safety with respect to yielding.

Force P = 41 N is applied to a lever at the end of a 35-mm-diameter shaft. Force Q = 120 N is applied directly to the shaft. Determine the normal stress σy at point H. Let a = 125 mm and b = 200 mm.

Force P = 43 N is applied to a lever at the end of a 31-mm-diameter shaft. Force Q = 875 N is applied directly to the shaft. Determine the magnitude of the shear stress τxy at point H. Let a = 135 mm and b = 205 mm.

A driver accidentally bumped a fire hydrant creating a bending moment of 620 N·m in the pipe below. The pipe has an inside diameter of 190 mm and a wall thickness of 12 mm and is pressurized to 325 kPa. Determine the largest normal stress along the length of the pipe.

Force P = 41 N is applied to a lever at the end of a 30-mm-diameter shaft. Force Q = 165 N is applied directly to the shaft. Determine the normal stress σy at point H. Let a = 170 mm and b = 225 mm.

Force P = 42 N is applied to a lever at the end of a 31-mm-diameter shaft. Force Q = 195 N is applied directly to the shaft. Determine the magnitude of the shear stress τyz at point K. Let a = 180 mm and b = 235 mm.

A 785 N person stands at the end of a 1.47 m cantilever beam. The beam has a base of 85 mm and a height of 180 mm. Determine the maximum bending stress in the beam.

Force P = 40 N is applied to a lever at the end of a 31-mm-diameter shaft. Force Q = 135 N is applied directly to the shaft. Determine the normal stress σy at point H. Let a = 140 mm and b = 220 mm.

Force P = 46 N is applied to a lever at the end of a 35-mm-diameter shaft. Force Q = 155 N is applied directly to the shaft. Determine the normal stress σy at point H. Let a = 130 mm and b = 230 mm.

Force P = 42 N is applied to a lever at the end of a 32-mm-diameter shaft. Force Q = 125 N is applied directly to the shaft. Determine the normal stress σy at point H. Let a = 140 mm and b = 240 mm.