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⚙️ Machine Design

Bearing Life Calculator

From the dynamic load rating C, the equivalent load P and the shaft speed, find the L10 basic rating life in million revolutions and in hours — for both ball and roller bearings.

L10 rev & hours
Ball & roller
C/P ratio
ISO 281 basis
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Bearing L10 life — Quick answer

Life is the load-rating-to-load ratio raised to a power. The bigger the margin between C and P, the dramatically longer the bearing lasts.

L₁₀ = (C/P)p  [million rev]   p = 3 ball, 10/3 roller
L₁₀ₕ = (10⁶ / (60·n)) · (C/P)p  [hours]

Worked example: Ball bearing, C = 30 kN, P = 3 kN, n = 1500 rpm. C/P = 10 → L₁₀ = 10³ = 1000 million rev; L₁₀ₕ = 10⁶/(60·1500)×1000 ≈ 11,100 hours.

How life scales with C/P (ball, p=3)

C/PL10 (million rev)Margin
464light
6216general
8512long-life

Used for: gearboxes, motors, pumps, fans, wheel hubs, spindle design.

⚙️ Bearing Life Calculator

Enter the bearing's dynamic load rating C, the actual equivalent load P, and the speed. Pick ball or roller.

L10 life
L10 life (hours)
C / P ratio
≈ Years (24/7)

⚠️ Basic rating life (L10) only — 90% reliability, clean lubrication assumed. The full ISO 281 modified life L10m applies reliability, material and contamination factors that can raise or lower this.

Rolling bearings don't wear out at a fixed mileage — they fail by fatigue, and fatigue is statistical. So bearing life is quoted as L10: the life that 90% of identical bearings will reach before the first sign of flaking. It depends on just two loads — the catalogue dynamic load rating C and the equivalent load P the bearing actually sees — raised to a power that rewards margin steeply. Halve the load and a ball bearing lasts eight times longer. This calculator returns L10 in revolutions and converts it to hours at your operating speed.

Reviewed: June 19, 2026 · Author: Naveen P N, Founder — AI Calculator · Verified against: ISO 281 basic rating life formulation.

The L10 equations

Basic rating life (million revolutions)
L10 = (C / P)p  ·  p = 3 (ball), 10/3 (roller)
Life in hours
L10h = 10⁶ / (60 · n) × (C / P)p

C and P must share the same units (kN is convenient) so their ratio is dimensionless. The exponent is what makes bearing selection forgiving in one direction and punishing in the other: because life goes as the cube (or 3.33 power) of the load ratio, a 25% overload roughly halves the life, while a modest size increase that lifts C can multiply life several-fold.

Worked example — a gearbox shaft bearing

Scenario: A deep-groove ball bearing rated C = 30 kN carries an equivalent load P = 3 kN at 1500 rpm. What is its rating life?

Revolutions
C/P = 30/3 = 10 → L10 = 10³ = 1000 million rev
Hours
L10h = 10⁶/(60×1500) × 1000 = 11.11 × 1000 ≈ 11,100 h

About 11,100 hours, or roughly 1.3 years of non-stop running — comfortably past a typical 8,000–10,000 hour target for intermittent duty. If the load rose to 4 kN, C/P drops to 7.5 and life falls to ~422 million rev (4,700 h), showing how sensitive life is to load. Switching to a roller bearing of the same C/P would extend it further thanks to the 10/3 exponent.

Frequently Asked Questions

What is L10 bearing life?

The basic rating life: the revolutions (or hours) that 90% of identical bearings reach before fatigue. By definition 10% are expected to have failed at L10.

How do you calculate bearing life?

L10 = (C/P)^p in million revolutions, p = 3 ball / 10/3 roller. Hours: L10h = (10⁶/(60·n))×(C/P)^p with n in rpm.

Ball vs roller bearing life?

Exponent differs: p = 3 for ball, 10/3 ≈ 3.33 for roller. Rollers also carry more load per size, so they show longer calculated life for the same C/P.

What C/P ratio should I design for?

~5–6 for general machinery, 8–10 for long-life duty, below ~4 life drops fast. Doubling C/P multiplies ball-bearing life by 8.

How many hours should a bearing last?

Guideline L10h: 20,000–30,000 h for shift machines, 40,000–50,000 h for continuous duty, 8,000–12,000 h for intermittent/mobile.

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