Thin-walled Pressure Vessels

Question 1

What are the three types of stress inna thin walled pressure vessel?

Answer 1

Hoop stress
Axial Stress
Radial stress

Question 2

What is hoop stress?

Thin wall cylindrical vessel

Answer 2

σθθ=(Pressure*radius)/thickness of wall

The pressure exerted circumferentially on every particle on the wall of the cylinder.

Question 3

What is axial stress?

Thin wall cylindrical vessel

Answer 3

σzz=(pressureradius)/(2thickness)

This stress acts along the long side of a cylinder.

Question 4

What is radial stress?

Thin wall cylindrical vessel

Answer 4

σrr=-p

Acts towards around the long part of the cylinder is negative as it is compressive.

Question 5

What assumption can be made for thin wall pressure vessels?

Answer 5

If r/t>10

σrr<

Question 6

What are the principles of stress for a spherical vessel?

Answer 6

σ1=σ2=(pr)/2t

σ3=0

Question 7

What is the maximum stress the spherical vessel will undergo?

Answer 7

τ=(σ1-σ-3)/2=pr/4t