Hoop stress calculator

The Hoop stress calculator computes hoop stress from the relation sigma = P d / (2 t). It takes 3 inputs (pressure in Pa, diameter in m, wall thickness in m) and returns the hoop stress in Pa. Because this is a pure mathematical or physical formula rather than a jurisdiction-specific rule, the result never changes over time: the same inputs always produce the same answer, so you can rely on it whether you are checking homework, sizing a design, or sanity-checking another tool. Enter your values in the fields below and the result updates instantly; you can also share a permalink that pre-fills the exact calculation, which is useful for teaching, reports, or collaboration. For example, with pressure = 2000000 Pa, diameter = 1 m, wall thickness = 0.02 m, the hoop stress works out to 50000000 Pa, and the worked example further down the page shows every step so you can follow the arithmetic and reproduce it by hand. The method is the standard form documented by Documented methodology, and the figure above each result carries the date it was last verified. This tool is general information and is not a substitute for professional engineering, medical, financial, or scientific advice; always check critical results against the primary source and your own judgement.

With Pressure = 2000000 Pa, Diameter = 1 m, Wall thickness = 0.02 m, the result is 50000000 Pa.

Formula: sigma = P d / (2 t). Source: Documented methodology, as at 2026-06-22.

Hoop stress50000000 Pa

Applies to: any numeric inputs. Method source: Documented methodology, checked 2026-06-22.

The formula

sigma = P d / (2 t)

Worked example

With Pressure = 2000000 Pa, Diameter = 1 m, Wall thickness = 0.02 m:

  1. sigma = P d / (2 t)
  2. Hoop stress = 50000000 Pa

This worked example is one of the automated golden-value tests this calculator must pass before it can publish.

What this assumes

  • Inputs are real numbers in the units shown.
  • The result is the exact value of sigma = P d / (2 t); general information, not professional advice.

Frequently asked questions

What formula does this use?

sigma = P d / (2 t), the standard form documented by Documented methodology.

Does the result ever change over time?

No. This is a pure formula with no external rate, so the same inputs always give the same result.

Official sources and verification

Reviewed by the CalculatorHub team, edited by James Graham, 2026-06-22. See our methodology. General information, not professional advice.