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.

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## 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

To calculate hoop stress, multiply the pressure by the mean radius, then divide by the wall thickness.

## Hoop Stress Definition

Hoop stress is a measure of stress contained within a thin-walled tube under 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 calculated by using the difference between the external and internal pressure.

**Next, determine the mean radius**This is the mean radius of the pressure vessel that can be calculated 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 in that case. The more pressure and larger a tube, the more stress the tube sees.