A Compressedair cylindrical tank 10 ft long is 2 ft in mean

A Compressed-air, cylindrical tank 10 ft long is 2 ft in mean diameter and has a wall thickness of 1/4 addition to pressurization, this tank is subjected at the end to a pull from the cable, as illustrated in the figure. The cable is in the vertical plane containing the vertical axis of the tank. If W = 5,000 lb and the pressure in the tank is 40 psi, what is the state of stress at points A and B1 Neglect the weight of the tank. Show the results on sketches of infinitesimal elements viewed from outside.

Solution

The stress is superposition of internal pressure stress and bending stress,   tensile stress due to cable

a) due to cable, with angle shown, stretching force is 4000 lb, bending force 3000 lb

the moment at B is 3000*5 ftl b= 15000 ftlb. , bending stress is MC/I where c= radius, I = Moment of Inertia

At A , there is no bending stress since it lies on the neutral axis . undeformed. ( actually it is on the circumference, so there may be a small effect.

Internal pressure for a thin wall cylinder causes hoop stress and longitudinal stress: P/Rt and P/(2Rt)

aso tension due to pull of cable add to longitud stress.

put in numbers and calculate.

best