Calculate hoop and longitudinal stresses in cylindrical or spherical pressure vessels, and required wall thickness.
Reference: ASME Boiler & Pressure Vessel Code (thin-wall theory) / Lamé's EquationsPressure Vessel Calculator (Thin & Thick Wall)
Inputs
Results
- Thin-wall Assumption Valid?
- Yes (t/r < 0.1)
- t/r Ratio
- 0.040
- Hoop (Circumferential) Stress
- 50.0MPa
- Longitudinal Stress
- 25.0MPa
- Thick-wall Hoop Stress (Lamé, inner surface)
- 51.0MPa
- Required Thickness (thin-wall, at allowable)
- 3.57mm
- Factor of Safety
- 2.80
Formula Used
⚠ For preliminary design and educational use only. Verify all results against applicable codes and standards before use in production or safety-critical applications.
About this calculator
Part of our Mechanical Calculators collection. Beams, bolts, springs, gears, bearings, and core ME calculations.
How it works
Calculates hoop, longitudinal, and radial stresses in thin-wall (membrane theory) and thick-wall (Lamé equations) cylindrical pressure vessels.
Enter your values in the inputs above and click CALCULATE. Results appear on the right without a page reload. No login and no server upload.
Privacy and accuracy
Every calculation runs locally in your browser. Your design data never leaves your device. Results are intended for preliminary engineering work. Always verify critical designs with qualified review and applicable standards before production use.
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