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 soccer ball with an inside diameter of 7.89 in. and wall thickness of 0.040 in. is constructed from a polymer that has a yield strength of 3.32 ksi. If the ball is inflated to a pressure of 4.3 psi, determine the factor of safety with respect to the yield strength.

A Pop-A-Shot ball with an inside diameter of 6.43 in. and wall thickness of 0.038 in. is constructed from a polymer that has a yield strength of 3.33 ksi. If the ball is inflated to a pressure of 5.5 psi, determine the factor of safety with respect to the yield strength.

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

An unpressurized vessel is loaded by horizontal force Px = 100 N, vertical force Py = 190 N, and torque T = 5 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 = 45 mm    outside diameter = 45 mm    inside diameter = 39 mm    wall thickness = 3 mm    cross sectional area = 395.84 mm2    Ix = Iz = 87,728 mm4    J = 175,460 mm4    Q = 2,650.5 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 soccer ball with an inside diameter of 7.82 in. and wall thickness of 0.041 in. is constructed from a polymer that has a yield strength of 3.45 ksi. If the ball is inflated to a pressure of 4.7 psi, determine the factor of safety with respect to the yield strength.

An unpressurized vessel is loaded by horizontal force Px = 120 N, vertical force Py = 200 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 = 47 mm    outside diameter = 47 mm    inside diameter = 41 mm    wall thickness = 3 mm    cross sectional area = 414.69 mm2    Ix = Iz = 100,820 mm4    J = 201,640 mm4    Q = 2,908.5 mm3

An unpressurized vessel is loaded by horizontal force Px = 80 N, vertical force Py = 190 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 = 53 mm    outside diameter = 53 mm    inside diameter = 47 mm    wall thickness = 3 mm    cross sectional area = 471.24 mm2    Ix = Iz = 147,790 mm4    J = 295,580 mm4    Q = 3,754.5 mm3

A basketball with an inside diameter of 8.62 in. and wall thickness of 0.055 in. is constructed from a polymer that has a yield strength of 3.16 ksi. If the ball is inflated to a pressure of 7.1 psi, determine the factor of safety with respect to the yield strength.