Question

1.What are the equations of stress in thin-walled and thick-walled cylindrical pressure vessels? Can you use thick-walled equations to describe thin-walled pressure vessels? Under what conditions can you consider a pressure vessel to be thin-walled?

2. In a pressure vessel, thin-walled or thick-walled, what are the radial stresses at the inner surface and outer surface?

Answer 1

1.

(A) Thin-walled pressure vessels :

The condition for Thin pressure vessels is Here d is the diameter of cylinder and t is the thickness of the cylinder

1. Hoop or Circumferential Stress is given by the equation:

Here p is internal pressure, t is the thickness of cylinder, d is inside diameter

2. Longitudinal Stress is given by the equation:

Here p is internal pressure, t is the thickness of cylinder, d is inside diameter

(B) Thick pressure vessel

The condition for Thin pressure vessels is Here d is the diameter of cylinder and t is the thickness of the cylinder

Acc to Lame's theory

1. Hoop or Circumferential Stress is given by the equation:

Here a,b are constants s, r is the radius

a, b can be calculated using boundary conditions such as by putting values of internal pressure and external pressure

2. Longitudinal Stress is given by the equation:

Here p is internal pressure, and are the outer and inner radius of the cylinder

2.

Radial stress in the thin-walled cylinder is negligible

Radial stress in the thick-walled cylinder is given by equation

Here a,b are constants and r is the radius