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An unpressurized vessel is loaded by horizontal force Px = 90 N, vertical force Py = 180 N, and torque T = 4 N·m acting in the directions shown. Determine the normal stress σy at K on the outside of the vessel.Vessel geometry    height, h = 50 mm    outside diameter = 50 mm    inside diameter = 44 mm    wall thickness = 3 mm    cross sectional area = 442.96 mm2    Ix = Iz = 122,810 mm4    J = 245,620 mm4    Q = 3,318 mm3

A copper [E = 15,800 ksi; ν = 0.38] water line has an outside diameter of 0.631 in., a wall thickness of 0.038 in., and a yield strength of 9.43 ksi. If a factor of safety of 2.8 is required, determine the maximum pressure that the pipe may contain.

A solid steel shaft with a diameter of 9.0 mm is subjected to the axial load and torques shown. Determine the magnitude of shear stress τxy in segment (2) of the shaft. Assume that P = 1,400 N, TA = 23.2 N·m, TB = 36.9 N·m, TC = 17.7 N·m, TD = 37.7 N·m, and TE = 33.7 N·m.

An unpressurized vessel is loaded by horizontal force Px = 80 N, vertical force Py = 190 N, and torque T = 4 N·m acting in the directions shown. Determine the magnitude of shear stress τxy at H on the outside of the vessel.Vessel geometry    height, h = 51 mm    outside diameter = 51 mm    inside diameter = 47 mm    wall thickness = 2 mm    cross sectional area = 307.88 mm2    Ix = Iz = 92,555 mm4    J = 185,110 mm4    Q = 2,402.3 mm3

A wooden ruler with length L = 12 in. carries loads Px = 19 lb and Py = 5 lb. The ruler has a rectangular cross section with a thickness of 0.250 in. and a height of 1.155 in. Determine normal stress σx on the bottom surface of the ruler at B.

A wooden ruler with length L = 12 in. carries loads Px = 11 lb and Py = 5 lb. The ruler has a rectangular cross section with a thickness of 0.225 in. and a height of 1.110 in. Determine normal stress σx on the bottom surface of the ruler at B.

An unpressurized vessel is loaded by horizontal force Px = 60 N, vertical force Py = 180 N, and torque T = 4 N·m acting in the directions shown. Determine the normal stress σy at K on the outside of the vessel.Vessel geometry    height, h = 45 mm    outside diameter = 45 mm    inside diameter = 41 mm    wall thickness = 2 mm    cross sectional area = 270.18 mm2    Ix = Iz = 62,580 mm4    J = 125,160 mm4    Q = 1,850.3 mm3

A wooden ruler with length L = 12 in. carries loads Px = 10 lb and Py = 7 lb. The ruler has a rectangular cross section with a thickness of 0.175 in. and a height of 1.140 in. Determine normal stress σx on the bottom surface of the ruler at B.

For the following cylindrical vessel at surface A, the longitudinal stress is considered to be in the y direction.

A solid steel shaft with a diameter of 9.5 mm is subjected to the axial load and torques shown. Determine the magnitude of shear stress τxy in segment (2) of the shaft. Assume that P = 1,300 N, TA = 15.3 N·m, TB = 31.3 N·m, TC = 12.1 N·m, TD = 39.5 N·m, and TE = 43.4 N·m.