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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.

An unpressurized vessel is loaded by horizontal force Px = 80 N, vertical force Py = 170 N, and torque T = 4 N·m acting in the directions shown. Determine the normal stress σy at H on the outside of the vessel.Vessel geometry    height, h = 55 mm    outside diameter = 55 mm    inside diameter = 51 mm    wall thickness = 2 mm    cross sectional area = 333.01 mm2    Ix = Iz = 117,090 mm4    J = 234,190 mm4    Q = 2,810.3 mm3

An aluminum CO2 [E = 10,000 ksi; ν = 0.33] bottle has an outside diameter of 3.21 in., a wall thickness of 0.153 in., and a yield strength of 56.4 ksi. If a factor of safety of 2.8 is required, determine the maximum pressure that the bottle may contain.

A Pop-A-Shot ball with an inside diameter of 6.39 in. and wall thickness of 0.044 in. is constructed from a polymer that has a yield strength of 3.34 ksi. If the ball is inflated to a pressure of 5.4 psi, determine the factor of safety with respect to the yield strength.