20 A cylindrical pressure vessel has thin walls If pressure

#20

A cylindrical pressure vessel has thin walls. If pressure and the thickness of the walls are held constant but the diameter of the vessel is doubled, the circumferential stress in the vessel wall will

(A)

diminish by 50%

(B)

remain the same

(C)

increase by 50%

(D)

increase by 100%

Solution

circumferential stress = PD/2t

pressure and thickness are constant means circumferential stress is directly proporttional to diameter.

If diameter is doubled then circumferential stress will be doubled means increased by 100%.

Option D is correct.