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

## Hoop Stress Definition

A hoop stress is a measure of stress contained within a thin walled tube under an axial stress.

## How to calculate hoop stress?

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.

## FAQ

**What is hoop stress?**

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.