Closed cylindrical shell
Thin-wall vessel stress
Inputs
Uniform internal gauge pressure; enter a positive magnitude.
Nominal inside diameter of the closed cylindrical shell.
Uniform shell wall thickness for the thin-wall screen.
Results
Ideal hoop membrane stress
30
Ideal longitudinal membrane stress
15
Inside diameter-to-thickness ratio
50
—σhoop = pD/(2t); σlong = pD/(4t), closed thin cylinder
A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.
Nearby: Axial response · Beam deflection & reactions · Elastic stability · Solid-shaft torsion
Method
Formula, when it applies, and when it does not
Calculate ideal hoop and longitudinal membrane stresses for a closed, thin-walled cylindrical pressure vessel from pressure and nominal geometry.
σhoop = pD/(2t); σlong = pD/(4t), closed thin cylinder
When
- Closed cylindrical shell
- Thin wall
- Uniform internal pressure
- Membrane stress only
Don’t
- This is a closed cylindrical thin-shell membrane-stress relationship. It excludes thick-wall behavior, discontinuities, heads, nozzles, welds, external pressure, fatigue, corrosion allowance, material allowables, code requirements, relief sizing, and pressure-vessel certification.