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A soccer ball with an inside diameter of 7.95 in. and wall thickness of 0.049 in. is constructed from a polymer that has a yield strength of 3.43 ksi. If the ball is inflated to a pressure of 6.0 psi, determine the factor of safety with respect to the yield strength.

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

An unpressurized vessel is loaded by horizontal force Px = 70 N, vertical force Py = 200 N, and torque T = 5 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 = 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 = 70 N, vertical force Py = 200 N, and torque T = 6 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 Pop-A-Shot ball with an inside diameter of 6.64 in. and wall thickness of 0.045 in. is constructed from a polymer that has a yield strength of 3.48 ksi. If the ball is inflated to a pressure of 5.1 psi, determine the factor of safety with respect to the yield strength.

A copper [E = 16,000 ksi; ν = 0.35] water line has an outside diameter of 0.628 in., a wall thickness of 0.037 in., and a yield strength of 8.08 ksi. If a factor of safety of 3.0 is required, determine the maximum pressure that the pipe may contain.

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 = 1,700 N, TA = 17.6 N·m, TB = 40.0 N·m, TC = 14.5 N·m, TD = 42.6 N·m, and TE = 50.5 N·m.

A wooden ruler with length L = 12 in. carries loads Px = 15 lb and Py = 4 lb. The ruler has a rectangular cross section with a thickness of 0.135 in. and a height of 1.160 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 = 10 lb and Py = 7 lb. The ruler has a rectangular cross section with a thickness of 0.145 in. and a height of 1.030 in. Determine normal stress σx on the bottom surface of the ruler at B.

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