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An unpressurized vessel is loaded by horizontal force Px = 120 N, vertical force Py = 150 N, and torque T = 3 N·m acting in the directions shown. Determine the normal stress σy at H on the outside of the vessel.Vessel geometry    height, h = 54 mm    outside diameter = 54 mm    inside diameter = 48 mm    wall thickness = 3 mm    cross sectional area = 480.66 mm2    Ix = Iz = 156,820 mm4    J = 313,630 mm4    Q = 3,906 mm3

A solid steel shaft with a diameter of 9.3 mm is subjected to the axial load and torques shown. Determine the magnitude of shear stress τxy in segment (3) of the shaft. Assume that P = 1,800 N, TA = 15.9 N·m, TB = 44.4 N·m, TC = 13.1 N·m, TD = 47.7 N·m, and TE = 63.1 N·m.

A vessel is loaded by internal pressure p = 130 kPa, horizontal force Px = 60 N, vertical force Py = 190 N, and torque T = 6 N·m acting in the directions shown. Determine the normal stress σz at K on the outside of the vessel.Vessel geometry    height, h = 48 mm    outside diameter = 48 mm    inside diameter = 44 mm    wall thickness = 2 mm    cross sectional area = 289.03 mm2    Ix = Iz = 76,592 mm4    J = 153,180 mm4    Q = 2,117.3 mm3

An unpressurized vessel is loaded by horizontal force Px = 80 N, vertical force Py = 180 N, and torque T = 3 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 = 46 mm    outside diameter = 46 mm    inside diameter = 40 mm    wall thickness = 3 mm    cross sectional area = 405.27 mm2    Ix = Iz = 94,123 mm4    J = 188,250 mm4    Q = 2,778 mm3

A wooden ruler with length L = 12 in. carries loads Px = 10 lb and Py = 3 lb. The ruler has a rectangular cross section with a thickness of 0.215 in. and a height of 1.060 in. Determine normal stress σx on the bottom surface of the ruler at B.

A solid steel shaft with a diameter of 9.1 mm is subjected to the axial load and torques shown. Determine the magnitude of shear stress τxy in segment (3) of the shaft. Assume that P = 1,200 N, TA = 11.9 N·m, TB = 41.4 N·m, TC = 18.2 N·m, TD = 43.8 N·m, and TE = 55.1 N·m.

An unpressurized vessel is loaded by horizontal force Px = 80 N, vertical force Py = 160 N, and torque T = 3 N·m acting in the directions shown. Determine the magnitude of shear stress τyz at K on the outside of the vessel.Vessel geometry    height, h = 52 mm    outside diameter = 52 mm    inside diameter = 48 mm    wall thickness = 2 mm    cross sectional area = 314.16 mm2    Ix = Iz = 98,332 mm4    J = 196,660 mm4    Q = 2,501.3 mm3

A wooden ruler with length L = 12 in. carries loads Px = 18 lb and Py = 3 lb. The ruler has a rectangular cross section with a thickness of 0.175 in. and a height of 1.025 in. Determine normal stress σx on the bottom surface of the ruler at B.

A copper [E = 16,300 ksi; ν = 0.38] water line has an outside diameter of 0.630 in., a wall thickness of 0.036 in., and a yield strength of 5.91 ksi. If a factor of safety of 2.5 is required, determine the maximum pressure that the pipe may contain.

An unpressurized vessel is loaded by horizontal force Px = 90 N, vertical force Py = 200 N, and torque T = 4 N·m acting in the directions shown. Determine the magnitude of shear stress τyz at K on the outside of the vessel.Vessel geometry    height, h = 48 mm    outside diameter = 48 mm    inside diameter = 42 mm    wall thickness = 3 mm    cross sectional area = 424.12 mm2    Ix = Iz = 107,830 mm4    J = 215,660 mm4    Q = 3,042 mm3