An unpressurized vessel is loaded by horizontal force Px = 60 N, vertical force Py = 170 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 = 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 = 80 N, vertical force Py = 170 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 = 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

A vessel is loaded by internal pressure p = 120 kPa, horizontal force Px = 60 N, vertical force Py = 170 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 = 51 mm    outside diameter = 51 mm    inside diameter = 45 mm    wall thickness = 3 mm    cross sectional area = 452.39 mm2    Ix = Iz = 130,800 mm4    J = 261,590 mm4    Q = 3,460.5 mm3

A Pop-A-Shot ball with an inside diameter of 6.66 in. and wall thickness of 0.039 in. is constructed from a polymer that has a yield strength of 3.27 ksi. If the ball is inflated to a pressure of 5.4 psi, determine the factor of safety with respect to the yield strength.

An unpressurized vessel is loaded by horizontal force Px = 70 N, vertical force Py = 160 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 = 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 = 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

An unpressurized vessel is loaded by horizontal force Px = 80 N, vertical force Py = 170 N, and torque T = 5 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 = 48 mm    outside diameter = 48 mm    inside diameter = 42 mm    wall thickness = 3 mm    cross sectional area = 424.12 mm2    Ix = Iz = 107,830 mm4    J = 215,660 mm4    Q = 3,042 mm3

For the following cylindrical vessel at surface A, the hoop stress is considered to be in the y direction.

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?    

An aluminum CO2 bottle has an outside diameter of 3.21 in., a wall thickness of 0.153 in., and a yield strength of 53.8 ksi. If a factor of safety of 3.1 is required, determine the maximum pressure that the bottle may contain.