Athin-walled cylindrical pressure vessel is subjected to an internal gauge pressure, p=75 psip=75 psi. it had a wall thickness of 0.25 inches and an inner diameter of 8 inches. use mohr’s circle to determine the absolute maximum shear stress in the pressure vessel when it is subjected to this pressure.

To solve this problem we must apply the concept related to the longitudinal effort and the effort of the hoop. The effort of the hoop is given as

Here,

P = Pressure

d = Diameter

t = Thickness

At the same time the longitudinal stress is given as,

The letters have the same meaning as before.

Then he hoop stress would be,

And the longitudinal stress would be

The Mohr's circle is attached in a image to find the maximum shear stress, which is given as

Therefore the maximum shear stress in the pressure vessel when it is subjected to this pressure is 600Psi