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Thin-Walled Hoop Stress Calculator — result sheet
Estimate circumferential hoop stress in a thin-walled cylindrical pressure vessel from pressure, radius, and wall thickness.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Hoop stress=pressure difference×radius/wall thickness.
For a thin, open-ended cylindrical wall, the circumferential membrane stress scales with pressure and radius and decreases with thickness.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Pressure difference — Pa; minimum -1.0E+15; maximum 1.0E+15
- Cylinder radius — m; minimum 1.0E-6; maximum 1000000000
- Wall thickness — m; minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Pressure difference | 2000000 |
| Cylinder radius | 0.5 |
| Wall thickness | 0.01 |
Hoop stress =100,000,000 Pa (100 MPa).
Assumptions and limits
- The cylinder is thin-walled so radius is much larger than wall thickness.
- Pressure difference is uniform and the material response is treated as membrane stress.
- End closures, local discontinuities, welds, corrosion, plasticity, fatigue, and design safety factors are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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