Rolling-Bearing L10 Rating Life (ISO 281)
The cube law that punishes a bearing overload.
Example
You enter
- Basic dynamic load rating C (lbf) 5000
- Equivalent dynamic load P (lbf) 1000
- Operating speed (rpm) 1750
- Bearing type ball
You get
- Rating life L10 125000000
- Rating life L10h 1191 hr
Details, formula, and sources
L10 = (C/P)^p x 10^6 rev, L10h = L10 / (60 x rpm), with p = 3 for ball and 10/3 for roller bearings. A ball bearing (C = 5,000 lbf, P = 1,000 lbf, 1,750 rpm) lasts 125 million rev = 1,190 hr; a 25% overload to P = 1,250 lbf drops it to 64 million rev = 610 hr -- the cube law turns a 25% load increase into a 49% life loss, which is why a small alignment or belt-tension improvement pays off. Basic L10 assumes clean, well-lubricated operation (contamination needs the modified aISO life) and is the life at which 10% have failed, not the average. A planning estimate; the mounting, lubrication, and application govern.
p = 3 (ball) or 10/3 (roller); L10 = (C/P)^p x 10^6 rev; L10h = L10 / (60 x rpm).
The ISO 281 / ABMA 9 & 11 basic rating life (L10) of a rolling-element bearing, by name; the mounting, lubrication, and application govern.
The L10 rating-life relation is a published ISO 281 / ABMA result; the dynamic load rating C comes from the bearing catalog and the equivalent load P from the application.
Estimate. AHJ and licensed professional govern.
Field names used by the API: dynamic_rating_lbf, equivalent_load_lbf, speed_rpm, bearing_type, l10_rev, l10_hr
- Cube law life scales as (C/P)^3 for ball bearings, (C/P)^(10/3) for rollerISO 281
- Basic L10 assumes clean, well-lubricated operation; contamination needs the modified aISO lifeISO 281
- 10% definition L10 is the life at which 10% have failed, not the average (L50 is ~5x)ABMA 9 & 11