Bearing Life Calculator
Basic rating life from catalog load and real load: L10 in hours, with ball and roller exponents handled.
Calculator
About this calculator
This bearing life calculator applies the ISO 281 basic rating life equation: how long until fatigue spalling starts in 90% of an identical bearing group. It is the fatigue ceiling — contamination and lubrication shortfalls cut real field life below L10. Motor sizing that drives the shaft: motor torque calculator.
Calculation Results
592.6 h
L10 hours · 64.0 million revs · median L50 ≈ 2,963 h
Formula: L10 = (C/P)³ × 10⁶ / (60 × RPM)
(10/2.5)³ × 1,000,000 / 108,000 = 592.6 h. Ball exponent 3 — load ratio drives everything.
How to use this result
Compare against your maintenance cycle, not against infinity: 592 hours at 8 h/day is about 10 working weeks — too short for anything but test rigs. The cube law is your lever: raising the load ratio C/P just 25% (from 3.2 to 4.0) roughly doubles life, and the cheapest wins are load reductions — better balance, lighter preload, cleaner alignment. If the number is embarrassingly small, first question is whether P is real: shock loads and misalignment hide in the gap between the catalog number and the field.
Continue Your Calculation
The load on this bearing comes from the shaft — check the motor side.
Ball bearing L10 life chart (hours)
L10 = (C/P)³ × 10⁶ / (60 × n). Roller bearings (10/3 exponent) run longer at the same C/P.
| Load ratio C/P | 900 rpm | 1,800 rpm | 3,600 rpm |
|---|---|---|---|
| 1.5 | 62.5 | 31.3 | 15.6 |
| 2.0 | 148.1 | 74.1 | 37.0 |
| 2.5 | 289.4 | 144.7 | 72.3 |
| 3.0 | 500.0 | 250.0 | 125.0 |
| 4.0 | 1,185.2 | 592.6 | 296.3 |
Bearing life formula
In revolutions: L10 = (C / P)^k million revolutions, with k = 3 for ball and k = 10/3 for roller bearings.
In hours: L10 hours = (C/P)^k × 10⁶ / (60 × n). Example: C = 10 kN, P = 2.5 kN, 1,800 rpm, ball: (4)³ × 1,000,000 / 108,000 = 592.6 h.
The cube law in practice: load ratio 2 gives 8× the life of ratio 1; ratio 4 gives 64×. Halving the load multiplies life by 2³ = 8× (ball) or 2^(10/3) = 10.1× (roller).
Motor side of the shaft: motor torque calculator. Power conversions: HP to kW.
Typical L10 design targets
| Application | Common L10 target (h) |
|---|---|
| Hand tools, intermittent duty | 5,000–10,000 |
| General industrial motors (IEC standard basis) | 20,000–40,000 |
| Continuous fans, pumps, compressors | 50,000–100,000 |
| Critical unattended plant | 100,000+ |
Target against the maintenance cycle you actually run. A 20,000 h bearing in a machine overhauled every 5 years at 4,000 h/yr never reaches its rating in service — spending money on the next rating size is wasted unless duty or reliability requirements grow.
Frequently Asked Questions
How do you calculate bearing life in hours?
L10 h = (C/P)^k × 10⁶ / (60 × RPM), k = 3 ball, 10/3 roller. Example: C 10 kN, P 2.5 kN, 1,800 rpm ball: (4)³ × 10⁶ / 108,000 = 592.6 h.
What does L10 life actually mean?
90% of an identical group reaches or exceeds L10 before fatigue spalling starts. It is statistical, not a warranty: 1 in 10 fails earlier, and the median (L50) runs about 5× longer for ball bearings.
Why does halving the load multiply bearing life by eight?
Ball life scales with the cube of the load ratio: life ∝ (C/P)³. Halving P doubles the ratio, 2³ = 8×. Rollers (10/3): 10.1×. Small load reductions buy enormous life.
What is the difference between L10 and L50 life?
L10 = 90% survival; L50 ≈ 5 × L10 (ball) or ~4 × L10 (roller) is where half survive. Catalogs quote L10 because it is the conservative, spec-friendly number.
When is the basic L10 formula not enough?
When something other than subsurface fatigue limits life: contamination, thin lube film, water, misalignment all cut life below L10. ISO 281's a_ISO modification factor adjusts for these — treat L10 here as the fatigue ceiling, not field life.
How do I handle combined radial and axial loads?
Convert with catalog X/Y factors: P = X·Fr + Y·Fa. Mostly-radial on a deep-groove ball bearing: P ≈ Fr. Angular-contact designs change X and Y substantially with axial share.
Do roller bearings really last longer for the same rating?
They use the 10/3 exponent, so life grows faster as load drops — but their ratings differ for the same shaft size. Compare by catalog C and equivalent P, then apply the right exponent — never one exponent for all types.
What L10 life should I design for?
Common targets: 20,000–40,000 h industrial motors, 50,000+ continuous fans/pumps, 5,000–10,000 hand tools. Match the maintenance cycle you actually run — see the design-target table above.
Review & sources
Reviewed: CalcPanel Rotating Equipment Team
Updated: 2026-11-10
Reference
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