Hertz line contact

Semi contact width, mean and maximum contact pressure for two parallel cylindrical bodies (or a cylinder on a flat) in line contact under a prescribed load per unit length (Hertz theory).

✓ validated against legacyoriginal: /calculators/e2_3.htm
Hertz line contact — original diagram from /calculators/e2_3.htm
Semi contact width, b0.41 mm
Mean pressure, pₘ1.23 GPa
Max pressure, p₀1.57 GPa
Reduced modulus, E*232.6 GPa
Reduced radius, R*15 mm

Method & references

  • Hertz contact theory for elastic cylindrical bodies in line contact.
  • A radius of 0 represents a flat surface (cylinder on plane).

The computation is a literal port of the original client-side JavaScript from /calculators/e2_3.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.

Hertz line contact — Engineering ABC