An aluminum CO2 [E = 10,200 ksi; ν = 0.33] 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.

You have partially purified an unknown protein from human embryonic kidney cells. What method would allow you to determine the identity of the proteins (including the unknown protein) in this mixture?

A vessel is loaded by internal pressure p = 90 kPa, horizontal force Px = 90 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 = 49 mm    outside diameter = 49 mm    inside diameter = 45 mm    wall thickness = 2 mm    cross sectional area = 295.31 mm2    Ix = Iz = 81,690 mm4    J = 163,380 mm4    Q = 2,210.3 mm3

A solid steel shaft with a diameter of 9.5 mm is subjected to the axial load and torques shown. Determine the magnitude of shear stress τxy in segment (2) of the shaft. Assume that P = 1,300 N, TA = 15.3 N·m, TB = 31.3 N·m, TC = 12.1 N·m, TD = 39.5 N·m, and TE = 43.4 N·m.

A wooden ruler with length L = 12 in. carries loads Px = 11 lb and Py = 7 lb. The ruler has a rectangular cross section with a thickness of 0.210 in. and a height of 1.100 in. Determine normal stress σx on the bottom surface of the ruler at B.

A solid steel shaft with a diameter of 9.4 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 = 1,600 N, TA = 15.6 N·m, TB = 41.6 N·m, TC = 19.0 N·m, TD = 45.2 N·m, and TE = 52.2 N·m.

A vessel is loaded by internal pressure p = 120 kPa, horizontal force Px = 60 N, vertical force Py = 170 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 = 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 unpressurized vessel is loaded by horizontal force Px = 60 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 = 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

A 62-year-old female patient is recovering from a complex brainstem surgery to remove a benign tumor located near the junction of the pons and medulla. Postoperatively, she experiences difficulty swallowing, hoarseness, and a loss of the gag reflex on the right side. She also complains of diminished taste sensation in the posterior third of her tongue and impaired movement of her soft palate. The attending physician explains to the student that multiple cranial nerves emerge directly from the brainstem, and in this case, nerves involved in swallowing, laryngeal control, and posterior taste sensation have likely been affected. Question: To accurately localize the neurological impact of this surgery, the  student must recall how many pairs of cranial nerves originate directly from the brain and brainstem. What is the correct number?    

A solid steel shaft with a diameter of 9.8 mm is subjected to the axial load and torques shown. Determine the magnitude of shear stress τxy in segment (2) of the shaft. Assume that P = 2,000 N, TA = 13.6 N·m, TB = 32.5 N·m, TC = 17.1 N·m, TD = 40.0 N·m, and TE = 41.8 N·m.