Enter the total pressure, mean diameter, and wall thickness of a pressure vessel. The calculator will display the total hoop stress seen by that vessel.
Hoop Stress Formula
The following equation is used to calculate the hoop stress in a pressure vessel.
HS = P*r/t
- Where HS is the hoop stress
- P is the pressure (either internal pressure or difference between outside and inside pressure)
- r is the mean radius
- t is the wall thickness
How to calculate hoop stress
- First, determine the pressure acting on the pressure vessel
Often time this is considered just the internal pressure, but hoop stress can also be calculate by using the different between the external and internal pressure.
- Next, determine the mean radius
This is the mean radius of the pressure vessel that can be calculate by subtracting the wall thickness from the OD.
- Next, determine the wall thickness
Measure the wall thickness of the pressure vessel.
- Calculate the hoop stress
Calculate the hoop stress using the information from steps 1-3.
Hoop stress is a measure of stress within a thin walled tube. In theory this could be applied to thicker walled tubes as well, but the stresses are not equal through in that case. The more pressure and larger a tube, the more stress the tube sees.