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

A vessel is loaded by internal pressure p = 130 kPa, horizontal force Px = 100 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 = 50 mm    outside diameter = 50 mm    inside diameter = 46 mm    wall thickness = 2 mm    cross sectional area = 301.59 mm2    Ix = Iz = 87,010 mm4    J = 174,020 mm4    Q = 2,305.3 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 aluminum CO2 bottle has an outside diameter of 3.21 in., a wall thickness of 0.153 in., and a yield strength of 56.4 ksi. If a factor of safety of 2.8 is required, determine the maximum pressure that the bottle may contain.

For this vessel, the stress in the y-direction is the _______.

An unpressurized vessel is loaded by horizontal force Px = 80 N, vertical force Py = 190 N, and torque T = 4 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 = 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 = 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

An aluminum CO2 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.

An unpressurized vessel is loaded by horizontal force Px = 60 N, vertical force Py = 170 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 = 54 mm    outside diameter = 54 mm    inside diameter = 48 mm    wall thickness = 3 mm    cross sectional area = 480.66 mm2    Ix = Iz = 156,820 mm4    J = 313,630 mm4    Q = 3,906 mm3

An unpressurized vessel is loaded by horizontal force Px = 80 N, vertical force Py = 170 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 = 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