A vessel is loaded by internal pressure p = 130 kPa, horizontal force Px = 60 N, vertical force Py = 190 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 = 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

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 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

A wooden ruler with length L = 12 in. carries loads Px = 18 lb and Py = 7 lb. The ruler has a rectangular cross section with a thickness of 0.160 in. and a height of 1.205 in. Determine normal stress σx on the bottom surface of the ruler at B.

A solid steel shaft with a diameter of 8.5 mm is subjected to the axial load and torques shown. Determine the magnitude of shear stress τxy in segment (3) of the shaft. Assume that P = 1,800 N, TA = 16.0 N·m, TB = 48.2 N·m, TC = 19.4 N·m, TD = 46.4 N·m, and TE = 59.2 N·m.

An unpressurized vessel is loaded by horizontal force Px = 70 N, vertical force Py = 150 N, and torque T = 4 N·m acting in the directions shown. Determine the normal stress σy at K 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

An unpressurized vessel is loaded by horizontal force Px = 100 N, vertical force Py = 150 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 = 55 mm    outside diameter = 55 mm    inside diameter = 49 mm    wall thickness = 3 mm    cross sectional area = 490.09 mm2    Ix = Iz = 166,200 mm4    J = 332,400 mm4    Q = 4,060.5 mm3

A wooden ruler with length L = 12 in. carries loads Px = 10 lb and Py = 3 lb. The ruler has a rectangular cross section with a thickness of 0.215 in. and a height of 1.060 in. Determine normal stress σx on the bottom surface of the ruler at B.

An unpressurized vessel is loaded by horizontal force Px = 60 N, vertical force Py = 190 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 = 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

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.