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Force P = 45 N is applied to a lever at the end of a 32-mm-diameter shaft. Force Q = 850 N is applied directly to the shaft. Determine the magnitude of the shear stress τxy at point H. Let a = 155 mm and b = 210 mm.

A driver accidentally bumped a fire hydrant creating a bending moment of 740 N·m in the pipe below. The pipe has an inside diameter of 165 mm and a wall thickness of 10 mm and is pressurized to 335 kPa. Determine the largest normal stress along the length of the pipe.

A pipeline with an outside diameter of 475 mm and a wall thickness of 12 mm is pressurized to 3.1 MPa. Due to thermal expansion, a compressive force of 31 kN is generated along the length of the pipes. Determine the normal stress along the length of the pipes. Ignore the bending stresses due to the weight of the pipes and the fluid that they contain.

A pipeline with an outside diameter of 495 mm and a wall thickness of 5 mm is pressurized to 1.5 MPa. Due to thermal expansion, a compressive force of 29 kN is generated along the length of the pipes. Determine the normal stress along the length of the pipes. Ignore the bending stresses due to the weight of the pipes and the fluid that they contain.

Force P = 40 N is applied to a lever at the end of a 30-mm-diameter shaft. Force Q = 120 N is applied directly to the shaft. Determine the normal stress σy at point H. Let a = 120 mm and b = 220 mm.

A 680 N person stands at the end of a 1.51 m cantilever beam. The beam has a base of 85 mm and a height of 150 mm. Determine the maximum bending stress in the beam.

The spherical face shield of an astronaut’s helmet is made from polycarbonate with a yield strength of 104 MPa. The shield has an outside diameter of 351 mm and a thickness of 5.4 mm. If the shield is successfully pressure tested to 920 kPa on Earth, determine the factor of safety with respect to yielding.

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.