Hertz elliptical contact (full precision)
Contact semi-axes, mean and maximum contact pressure for two bodies in elliptical contact — same formula as the "Hertz elliptical contact" calculator, but returning unrounded, full-precision results as the original e2_7 page does.
Semi contact width, a0.29799630291246654 mm
Semi contact width, b0.38786824421545757 mm
Mean pressure, pₘ1.3769717532335812 GPa
Max pressure, p₀2.0654576298503717 GPa
Reduced modulus, E*232.55813953488374 GPa
Reduced radius, R*5.999999999999999 mm
Method & references
- Hertz contact theory for elastic bodies in elliptical contact — same derivation as e2_2 (Brewe & Hamrock K approximation).
- Legacy e2_7.htm returns unrounded values (no Math.round), unlike e2_2.htm; preserved verbatim.
- A radius of 0 in a given plane represents a flat surface in that plane.
The computation is a literal port of the original client-side JavaScript from /calculators/e2_7.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.