Hertz line contact, contact pressure and dimensions
Semi contact width, mean and maximum contact pressure for a cylindrical body in line contact (optionally against a concave/conforming counter-surface), under a prescribed load per unit length (Hertz theory).
Semi contact width, b0.8271393937457294 mm
Mean pressure, pₘ0.022215118925466935 GPa
Max pressure, p₀0.028285167906899018 GPa
Reduced modulus, E*138.15335021874282 GPa
Reduced radius, R*1010.0000000000027 mm
Method & references
- Hertz contact theory for elastic cylindrical bodies in line contact.
- Hertz boundary conditions assumed valid to a material depth of at least 5x the contact width b (legacy page note).
- R2 negative represents a concave (conforming) counter-surface, e.g. a cylinder running in a groove.
The computation is a literal port of the original client-side JavaScript from /calculators/e2_9.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.