An aluminum CO2 bottle has an outside diameter of 3.23 in., a wall thickness of 0.153 in., and a yield strength of 42.0 ksi. If a factor of safety of 3.2 is required, determine the maximum pressure that the bottle may contain.

A vessel is loaded by internal pressure p = 60 kPa, horizontal force Px = 110 N, vertical force Py = 180 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 = 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 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 = 60 N, vertical force Py = 150 N, and torque T = 5 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 = 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

A copper water line has an outside diameter of 0.634 in., a wall thickness of 0.036 in., and a yield strength of 9.82 ksi. If a factor of safety of 2.5 is required, determine the maximum pressure that the pipe may contain.

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

A copper water line has an outside diameter of 0.630 in., a wall thickness of 0.040 in., and a yield strength of 7.78 ksi. If a factor of safety of 2.9 is required, determine the maximum pressure that the pipe may contain.

An unpressurized vessel is loaded by horizontal force Px = 100 N, vertical force Py = 170 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 copper water line has an outside diameter of 0.621 in., a wall thickness of 0.036 in., and a yield strength of 5.57 ksi. If a factor of safety of 2.6 is required, determine the maximum pressure that the pipe may contain.

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