A copper [E = 16,300 ksi; ν = 0.38] water line has an outside diameter of 0.630 in., a wall thickness of 0.036 in., and a yield strength of 5.91 ksi. If a factor of safety of 2.5 is required, determine the maximum pressure that the pipe may contain.

An unpressurized vessel is loaded by horizontal force Px = 80 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 = 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

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

An unpressurized vessel is loaded by horizontal force Px = 60 N, vertical force Py = 180 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 = 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 = 7 lb. The ruler has a rectangular cross section with a thickness of 0.145 in. and a height of 1.030 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 = 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

An unpressurized vessel is loaded by horizontal force Px = 80 N, vertical force Py = 150 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 = 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 = 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 solid steel shaft with a diameter of 9.3 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 = 15.9 N·m, TB = 44.4 N·m, TC = 13.1 N·m, TD = 47.7 N·m, and TE = 63.1 N·m.

A vessel is loaded by internal pressure p = 80 kPa, 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 σz at K on the outside of the vessel.Vessel geometry    height, h = 50 mm    outside diameter = 50 mm    inside diameter = 44 mm    wall thickness = 3 mm    cross sectional area = 442.96 mm2    Ix = Iz = 122,810 mm4    J = 245,620 mm4    Q = 3,318 mm3