Thin Cylinder Longitudinal Stress Calculator

How to use this calculator

1. Choose whether to find longitudinal stress, internal pressure, radius, or wall thickness.
2. Enter the three known values; the vessel is assumed thin (t < 0.1 r).
3. Read the result in pascals or a prefixed unit.

Formula

σ_l = p r / (2 t)

σ_l is the longitudinal stress, p the internal gauge pressure, r the inner radius and t the wall thickness. The hoop stress is σ_h = p r / t.

Worked example

Example: p=2 MPa, r=0.5 m, t=10 mm → σ_l=50 MPa

σ_l = p r / (2 t) = 2×10⁶ × 0.5 / (2 × 0.01) = 50 MPa.

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