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Which stress element represents the state of stress at point K?

An unpressurized vessel is loaded by horizontal force Px = 60 N, vertical force Py = 170 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 = 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

An unpressurized vessel is loaded by horizontal force Px = 60 N, vertical force Py = 160 N, and torque T = 3 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 = 53 mm    outside diameter = 53 mm    inside diameter = 49 mm    wall thickness = 2 mm    cross sectional area = 320.44 mm2    Ix = Iz = 104,340 mm4    J = 208,690 mm4    Q = 2,602.3 mm3

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 unpressurized vessel is loaded by horizontal force Px = 120 N, vertical force Py = 180 N, and torque T = 4 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 = 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 [E = 10,300 ksi; ν = 0.32] bottle has an outside diameter of 3.25 in., a wall thickness of 0.156 in., and a yield strength of 59.1 ksi. If a factor of safety of 3.5 is required, determine the maximum pressure that the bottle may contain.

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.

A wooden ruler with length L = 12 in. carries loads Px = 15 lb and Py = 6 lb. The ruler has a rectangular cross section with a thickness of 0.200 in. and a height of 1.205 in. Determine normal stress σx on the bottom surface of the ruler at B.

An unpressurized vessel is loaded by horizontal force Px = 80 N, vertical force Py = 150 N, and torque T = 3 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 = 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 aluminum CO2 [E = 10,100 ksi; ν = 0.34] bottle has an outside diameter of 3.24 in., a wall thickness of 0.160 in., and a yield strength of 51.0 ksi. If a factor of safety of 2.5 is required, determine the maximum pressure that the bottle may contain.