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An unpressurized vessel is loaded by 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 σy at H on the outside of the vessel.Vessel geometry    height, h = 52 mm    outside diameter = 52 mm    inside diameter = 46 mm    wall thickness = 3 mm    cross sectional area = 461.81 mm2    Ix = Iz = 139,120 mm4    J = 278,240 mm4    Q = 3,606 mm3

A vessel is loaded by internal pressure p = 140 kPa, horizontal force Px = 100 N, vertical force Py = 150 N, and torque T = 3 N·m acting in the directions shown. Determine the normal stress σx 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 unpressurized vessel is loaded by horizontal force Px = 120 N, vertical force Py = 200 N, and torque T = 5 N·m acting in the directions shown. Determine the normal stress σy 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 vessel is loaded by internal pressure p = 110 kPa, horizontal force Px = 60 N, vertical force Py = 160 N, and torque T = 4 N·m acting in the directions shown. Determine the normal stress σx at H on the outside of the vessel.Vessel geometry    height, h = 47 mm    outside diameter = 47 mm    inside diameter = 43 mm    wall thickness = 2 mm    cross sectional area = 282.74 mm2    Ix = Iz = 71,711 mm4    J = 143,420 mm4    Q = 2,026.3 mm3

A Pop-A-Shot ball with an inside diameter of 6.37 in. and wall thickness of 0.045 in. is constructed from a polymer that has a yield strength of 3.25 ksi. If the ball is inflated to a pressure of 4.8 psi, determine the factor of safety with respect to the yield strength.

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