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The pressure hull of a space station module has an inside diameter of 4.5 m, a length of 5.2 m, and a wall thickness of 2.6 mm. It is made from an aluminum alloy with a yield strength of 250 MPa. If the hull is successfully pressure tested to 160 kPa on Earth, determine the factor of safety with respect to yielding.

A point in a structural member is subjected to the following stress magnitudes. The stress directions are shown in the image. Determine the center σcenter of the corresponding in-plane Mohr’s circle.|σx| = 33.1 MPa|σy| = 87.2 MPa|τxy| = 91 MPa

Force P = 43 N is applied to a lever at the end of a 32-mm-diameter shaft. Force Q = 975 N is applied directly to the shaft. Determine the magnitude of the shear stress τxy at point H. Let a = 165 mm and b = 205 mm.

At a point on the free surface of an aluminum component [E = 67 MPa,ν = 0.34], a strain rosette was used to obtain normal strains of εa = 122 με, εb = –105 με, and εc = 110 με. Determine normal strain εx at the point.

A point in a structural member is subjected to plane strain. Determine the larger principal strain in the x-y plane.εx = 310 μεεy = 540 μεγxy = 880 μrad

A pipeline with an outside diameter of 415 mm and a wall thickness of 11 mm is pressurized to 3.3 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.

Force P = 41 N is applied to a lever at the end of a 30-mm-diameter shaft. Force Q = 190 N is applied directly to the shaft. Determine the magnitude of the shear stress τyz at point K. Let a = 140 mm and b = 240 mm.

A pipeline with an outside diameter of 420 mm and a wall thickness of 10 mm is pressurized to 2.3 MPa. Due to thermal expansion, a compressive force of 32 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 = 44 N is applied to a lever at the end of a 30-mm-diameter shaft. Force Q = 875 N is applied directly to the shaft. Determine the normal stress σy at point K. Let a = 135 mm and b = 220 mm.

A 615 N person stands in the middle of a 2.61 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.