Discover the maximum thickness required:

A thin cylindrical vessel of 2 m diameter and 4 m length having a particular gas at a pressure of 1.65 N/mm². If the allowable tensile stress of the material of the shell is referring to150 N/mm2, Discover the maximum thickness required.

Solution

In a thin cylindrical shell, stress shall be higher, since it is double that of longitudinal stress. Therefore, maximum stress is reached in the circumferential direction.

Diameter of the shell, d = 2 m = 2000 mm.

 Internal pressure, p = 1.65 N/mm2.

Permissible tensile stress = 150 N/mm².

If thickness required is t, then

pd / t = 150

1.65 × 2000/ (2 × t)  = 150

t = 11 mm

Therefore, minimum thickness needed is 11 mm.