Static load rating of a deep-groove ball bearing (Hertz)
Elliptical (Hertzian) contact pressure for a prescribed bearing load, and the ISO 76:1987 basic static load rating C0 for a prescribed maximum contact pressure, from ball and raceway elastic properties and curvatures.
Effective Young's modulus, E' (from P)232.56 GPa
Effective contact radius, R' (from P)2.68 10⁻³ m
Semi contact width, a (from P)0.1 10⁻³ m
Semi contact width, b (from P)0.5 10⁻³ m
Mean contact pressure, p_m (from P)1.41 GPa
Maximum contact pressure, p_max (from P)2.11 GPa
Effective Young's modulus, E' (from p_max)232.56 GPa
Effective contact radius, R' (from p_max)2.68 10⁻³ m
Semi contact width, a (from p_max)0.2 10⁻³ m
Semi contact width, b (from p_max)1 10⁻³ m
Static load rating, C₀ (ISO 76:1987)3929.55 N
Mean contact pressure, p_m (from p_max)2.8 GPa
Method & references
- ISO 76:1987 basic static load rating; Hertzian elliptical point contact.
The computation is a literal port of the original client-side JavaScript from /calculators/e2_4.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.