Stresses in cylinders, vessels and pipes (Lame)
Tangential (hoop) and von Mises equivalent stresses at the inner and outer surfaces, and diametric expansion, of an open-ended thick-walled cylinder under internal pressure only, from Lame's equations.
Wall thickness10 1e-3 m
Cross section, A5.97 1e-3 m²
Tangential stress, σ(dᵢ)95.26 MPa
Tangential stress, σ(d)85.26 MPa
Von Mises stress, σₑ(dᵢ)100.64 MPa
Von Mises stress, σₑ(d)85.26 MPa
Diametric expansion, δ0.0879 1e-3 m
Method & references
- Lame's equation for open-ended thick-walled cylinders under internal pressure.
The computation is a literal port of the original client-side JavaScript from /calculators/cyl_stress.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.