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A pipeline with an outside diameter of 410 mm and a wall thickness of 9 mm is pressurized to 1.7 MPa. Due to thermal expansion, a compressive force of 23 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 = 140 N is applied directly to the shaft. Determine the normal stress σy at point H. Let a = 155 mm and b = 230 mm.

A 675 N person stands in the middle of a 2.39 m simply-supported beam. The beam has a base of 75 mm and a height of 150 mm. Determine the maximum horizontal shear stress in the beam.

A pipeline with an outside diameter of 430 mm and a wall thickness of 7 mm is pressurized to 2.6 MPa. Due to thermal expansion, a compressive force of 28 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 = 43 N is applied to a lever at the end of a 33-mm-diameter shaft. Force Q = 110 N is applied directly to the shaft. Determine the magnitude of the shear stress τyz at point K. Let a = 145 mm and b = 220 mm.

A Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. If 1 grid square = 7 MPa, determine the principal stress σ1.

A 675 N person stands at the end of a 1.41 m cantilever beam. The beam has a base of 90 mm and a height of 150 mm. Determine the maximum bending stress in the beam.

The pressure hull of a space station module has an inside diameter of 4.5 m, a length of 5.1 m, and a wall thickness of 2.7 mm. It is made from an aluminum alloy with a yield strength of 253 MPa. If the hull is successfully pressure tested to 175 kPa on Earth, determine the factor of safety with respect to yielding.

The pressure hull of a space station module has an inside diameter of 4.3 m, a length of 5.1 m, and a wall thickness of 3.0 mm. It is made from an aluminum alloy with a yield strength of 268 MPa. If the hull is successfully pressure tested to 195 kPa on Earth, determine the factor of safety with respect to yielding.

A 745 N person stands in the middle of a 2.60 m simply-supported beam. The beam has a base of 75 mm and a height of 180 mm. Determine the maximum horizontal shear stress in the beam.