An aluminum CO2 [E = 10,000 ksi; ν = 0.33] bottle has an outside diameter of 3.29 in., a wall thickness of 0.156 in., and a yield strength of 55.6 ksi. If a factor of safety of 3.2 is required, determine the maximum pressure that the bottle may contain.

A solid steel shaft with a diameter of 9.4 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 = 24.3 N·m, TB = 35.5 N·m, TC = 23.9 N·m, TD = 35.5 N·m, and TE = 22.8 N·m.

An unpressurized vessel is loaded by horizontal force Px = 60 N, vertical force Py = 200 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 = 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

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 8.0 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 = 1,500 N, TA = 15.3 N·m, TB = 43.0 N·m, TC = 11.4 N·m, TD = 40.9 N·m, and TE = 57.2 N·m.

An unpressurized vessel is loaded by horizontal force Px = 90 N, vertical force Py = 150 N, and torque T = 3 N·m acting in the directions shown. Determine the normal stress σy at K on the outside of the vessel.Vessel geometry    height, h = 55 mm    outside diameter = 55 mm    inside diameter = 49 mm    wall thickness = 3 mm    cross sectional area = 490.09 mm2    Ix = Iz = 166,200 mm4    J = 332,400 mm4    Q = 4,060.5 mm3

A soccer ball with an inside diameter of 7.54 in. and wall thickness of 0.060 in. is constructed from a polymer that has a yield strength of 3.00 ksi. If the ball is inflated to a pressure of 4.3 psi, determine the factor of safety with respect to the yield strength.

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

An unpressurized vessel is loaded by horizontal force Px = 70 N, vertical force Py = 160 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 = 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 aluminum CO2 [E = 10,200 ksi; ν = 0.33] bottle has an outside diameter of 3.28 in., a wall thickness of 0.159 in., and a yield strength of 45.7 ksi. If a factor of safety of 3.2 is required, determine the maximum pressure that the bottle may contain.