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Zone D — Fluid, Thermal & Pressure

Pressure Vessel Wall Thickness Calculator

Find the minimum shell wall thickness for a thin-wall cylindrical pressure vessel from internal pressure, diameter, allowable stress, and joint efficiency.

t — thin-wall cylinder, hoop stress

Enter your values

Design pressure, geometry, and material allowable stress.

mm minimum thickness
Enter positive values; joint efficiency must be between 0.1 and 1.

How this calculator works

For a thin-wall cylindrical shell (wall thickness less than about 1/10 of the internal radius), the governing case is circumferential (hoop) stress, giving minimum required thickness:

t = P·D / (2·S·E)

P is internal design pressure, D is internal diameter, S is the material's allowable stress at design temperature, and E is the weld joint efficiency. A corrosion allowance, if specified, is added on top of this calculated minimum:

t_total = t + corrosion allowance

Typical joint efficiency values

Weld examinationTypical E
Full radiography1.00
Spot radiography0.85
No radiography0.70

This is a simplified thin-wall check, not a substitute for a full code calculation (e.g. ASME Section VIII) which also covers heads, nozzles, and thick-wall cases.

Frequently asked questions

Does this apply to spherical vessels?

No — spherical shells use t = PD/(4SE), half the cylindrical hoop-stress formula, since a sphere carries stress equally in both directions. This calculator covers cylindrical shells only.

Is this suitable for final vessel design?

Use it for early sizing and estimation. A certified vessel design must follow the applicable pressure vessel code in full, including head, nozzle, and fatigue checks, and should be reviewed by a qualified pressure vessel engineer.