An unpressurized vessel is loaded by horizontal force Px = 90 N, vertical force Py = 200 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 = 46 mm    outside diameter = 46 mm    inside diameter = 42 mm    wall thickness = 2 mm    cross sectional area = 276.46 mm2    Ix = Iz = 67,042 mm4    J = 134,080 mm4    Q = 1,937.3 mm3

An aluminum CO2 [E = 10,100 ksi; ν = 0.33] bottle has an outside diameter of 3.21 in., a wall thickness of 0.153 in., and a yield strength of 53.8 ksi. If a factor of safety of 3.1 is required, determine the maximum pressure that the bottle may contain.

For the surface at B on the outlet pipe, the hoop stress is considered to be in the x direction.

For the following cylindrical vessel at surface A, the hoop stress is considered to be in the y direction.

A wooden ruler with length L = 12 in. carries loads Px = 18 lb and Py = 6 lb. The ruler has a rectangular cross section with a thickness of 0.160 in. and a height of 1.085 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 = 190 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 basketball with an inside diameter of 8.54 in. and wall thickness of 0.051 in. is constructed from a polymer that has a yield strength of 3.09 ksi. If the ball is inflated to a pressure of 7.0 psi, determine the factor of safety with respect to the yield strength.

An aluminum CO2 [E = 10,000 ksi; ν = 0.33] bottle has an outside diameter of 3.28 in., a wall thickness of 0.160 in., and a yield strength of 59.0 ksi. If a factor of safety of 2.9 is required, determine the maximum pressure that the bottle may contain.

A Pop-A-Shot ball with an inside diameter of 6.52 in. and wall thickness of 0.042 in. is constructed from a polymer that has a yield strength of 3.29 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 basketball with an inside diameter of 8.94 in. and wall thickness of 0.040 in. is constructed from a polymer that has a yield strength of 3.03 ksi. If the ball is inflated to a pressure of 7.8 psi, determine the factor of safety with respect to the yield strength.