Force P = 45 N is applied to a lever at the end of a 33-mm-diameter shaft. Force Q = 180 N is applied directly to the shaft. Determine the magnitude of the shear stress τyz at point K. Let a = 145 mm and b = 200 mm.

The spherical face shield of an astronaut’s helmet is made from polycarbonate with a yield strength of 120 MPa. The shield has an outside diameter of 368 mm and a thickness of 4.0 mm. If the shield is successfully pressure tested to 920 kPa on Earth, determine the factor of safety with respect to yielding.

_________________ is a material used in many orthopedic implants. 

The pressure hull of a space station module has an inside diameter of 4.4 m, a length of 5.7 m, and a wall thickness of 2.6 mm. It is made from an aluminum alloy with a yield strength of 254 MPa. If the hull is successfully pressure tested to 160 kPa on Earth, determine the factor of safety with respect to yielding.

A 800 N person stands in the middle of a 2.64 m simply-supported beam. The beam has a base of 95 mm and a height of 165 mm. Determine the maximum horizontal shear stress in the beam.

Force P = 45 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 = 120 mm and b = 215 mm.

A pipeline with an outside diameter of 455 mm and a wall thickness of 9 mm is pressurized to 2.8 MPa. Due to thermal expansion, a compressive force of 21 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 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.

A tank with an inside diameter of 385 mm, a length of 810 mm, and a wall thickness of 3.9 mm was designed to withstand a pressure of 705 kPa. If the outside of the tank has corroded such that the thickness is now 88% of the original value, what should the pressure now be limited to?

The pressure hull of a space station module has an inside diameter of 4.4 m, a length of 5.9 m, and a wall thickness of 2.6 mm. It is made from an aluminum alloy with a yield strength of 245 MPa. If the hull is successfully pressure tested to 165 kPa on Earth, determine the factor of safety with respect to yielding.