A thin walled cylindrical pressure vessel with an inside diameter of 300 mm and wall thickness of 3 mm is subjected to an internal gauge pressure of 1.5 MPa

Q. A thin walled cylindrical pressure vessel with an inside diameter of 300 mm and wall thickness of 3 mm is subjected to an internal gauge pressure of 1.5 MPa. The maximum shear stress (in MPa) at a point located on the inner surface of the pressure vessel is       

Ans: 37 – 40

Sol:

Concept:

In a thin cylindrical pressure vessel:

Note: We always consider maximum shear stress because it fails the system first and in the case of the cylinder out of plane shear stress is maximum that’s why we do not consider in-plane stress for calculation if nothing mention in the question. where, σc = Circumferential stress, σL = Longitudinal stress, P = Internal gauge pressure d = Inside diameter of the cylinder, t = thickness of the cylinder

Calculation:

Given: d = 300 mm, t = 3mm, P = 1.5 MPa