Joe owns a wholesale fruit business and regularly does business with Vince.  The men agree in advance on the terms and conditions that will apply to all transactions they subsequently conduct electronically.  This is a/an:

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 H on the outside of the vessel.Vessel geometry    height, h = 52 mm    outside diameter = 52 mm    inside diameter = 46 mm    wall thickness = 3 mm    cross sectional area = 461.81 mm2    Ix = Iz = 139,120 mm4    J = 278,240 mm4    Q = 3,606 mm3

A vessel is loaded by internal pressure p = 140 kPa, 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 σx 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 = 120 N, vertical force Py = 200 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

A vessel is loaded by internal pressure p = 110 kPa, horizontal force Px = 60 N, vertical force Py = 160 N, and torque T = 4 N·m acting in the directions shown. Determine the normal stress σx at H on the outside of the vessel.Vessel geometry    height, h = 47 mm    outside diameter = 47 mm    inside diameter = 43 mm    wall thickness = 2 mm    cross sectional area = 282.74 mm2    Ix = Iz = 71,711 mm4    J = 143,420 mm4    Q = 2,026.3 mm3

A Pop-A-Shot ball with an inside diameter of 6.37 in. and wall thickness of 0.045 in. is constructed from a polymer that has a yield strength of 3.25 ksi. If the ball is inflated to a pressure of 4.8 psi, determine the factor of safety with respect to the yield strength.

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.

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