TaskJunction

Bearing Life (L10) Calculator

ISO 281 L10 and adjusted Lnm life from C, P, speed, and reliability factors a1/a2/a3.

Inputs

Application sketch · animated

Custom · L10 life — Ball · p = 3Ball · p = 3nC / P5.29L10h1,649 hCustom · L10 lifeBall · p = 3 · L10 148.4 ×10⁶ rev · median ≈ 742 ×10⁶

The animated sketch switches with the application preset (motor / 6308 / roller gearbox / custom) and ball vs roller type. ISO 281 basic rating life from catalog C and equivalent load P — get P from the bearing load calculator. a1 uses ISO 281:2007 (95% → 0.64, 99% → 0.25). Full aISO is out of scope.

L10 life (hours)
Adjusted life Lnm
Calendar life
L5m / L1m (ISO a1)

You need the ISO 281 basic rating life before you lock a catalog size. This pad takes dynamic load rating C, equivalent dynamic load P, speed, bearing type (ball or roller), and reliability / material / lubrication factors, then returns L10 in revolutions and hours, adjusted Lnm, calendar years, and L5m / L1m views.

Defaults open on a motor-like ball case: C = 45 kN, P = 8.5 kN, 1500 rpm, a1 = a2 = a3 = 1. CALCULATE returns C/P ≈ 5.29, L10 ≈ 148.4 ×10⁶ rev, L10h ≈ 1649 h, and Lnm = 1649 h. Presets cover a 6308-style deep groove and a cylindrical roller example. Math stays in your browser.

It sits under Mechanical Calculators next to the bearing load calculator (for P) and bearing selection calculator (for family / required C).

Formula

  • Basic rating life: L10 = (C / P)^p million revolutions.
  • p = 3 for ball bearings, p = 10/3 for roller bearings.
  • Life in hours: L10h = L10 × 10⁶ / (60 · n).
  • Adjusted life: Lnm = a1 · a2 · a3 · L10h (ISO-style factors; a1 from ISO 281:2007).
  • Calendar years ≈ L10h / (hours per day × 365). Continuous 24/7 years use 8760 h/yr.
  • Median life rule of thumb: L50 ≈ 5 × L10.

Reproduce the default CALCULATE path:

QuantityValue
C / P / n45 kN · 8.5 kN · 1500 rpm
Type · pBall · 3
C/P≈ 5.294
L10≈ 148.4 ×10⁶ rev
L10h≈ 1649 h
L5m / L1m≈ 1055 / 412 h (a1 = 0.64 / 0.25)

How it works

ISO 281 basic rating life L10 = (C/P)^p in millions of revolutions (p = 3 ball, 10/3 roller), converted to hours with speed. Adjusted life Lnm applies a1 (ISO 281:2007 reliability table), a2, and a3. Not a full aISO modified-life tool.

Pick an application preset (motor, 6308-style, cylindrical roller) or Custom — the animated sketch switches with the preset (Play/Pause). Choose ball or roller to change the bearing face (p = 3 or 10/3). Enter C and P in kN, speed, reliability a1 preset (or custom), optional a2/a3, and hours per day. CALCULATE fills Results. Editing C, P, rpm, or bearing type clears Results and returns the preset to Custom; reliability / a2 / a3 / hours keep the application sketch. RESET restores Custom with motor-like C/P defaults.

L10 is a statistical fatigue life, not a warranty

Per ISO 281, L10 is the life that 90% of identical bearings are expected to reach or exceed before subsurface fatigue. The median life L50 is roughly five times L10.

The core identity is L10 = (C/P)^p and L10h from speed. Getting P wrong (use the load pad) or mixing ball/roller exponents ruins the hours number.

Hand-drawn L10 = (C/P)^p with hours conversion from speed

Default path: (45/8.5)³ ≈ 148.4 ×10⁶ rev → ≈ 1649 h at 1500 rpm.

Typical industrial targets sit around 20 000–40 000 h continuous duty.

Reliability a1 uses the ISO 281:2007 table

ISO 281:2007 lists L10a at 95% and 99% with a1 ≈ 0.64 / 0.25. This pad follows the 2007 table.

Lnm = a1·a2·a3·L10h covers reliability plus simple material and lubrication factors you enter. Full aISO from viscosity ratio, contamination, and Pu needs OEM software — out of scope here.

Hand-drawn ISO 281 a1 reliability table 90 to 99 percent

L5m ≈ 0.64 × L10h and L1m ≈ 0.25 × L10h from the same basic life.

Raise a2/a3 only when you have catalog or site evidence — do not invent optimism.

What advanced life tools add that we skip

Advanced life tools build duty-cycle stages with Fr/Fa time fractions or ask for verified aISO. This pad stays on basic L10 plus reliability views — closest to a first-pass ISO 281 screen.

Use the bearing load calculator for P, then this pad for L10/Lnm. Confirm the final designation with an OEM catalog tool when you need grease life and contamination curves.

What this pad does not replace

No aISO/κ/ηc calculation, no multi-stage equivalent load averaging, no side-by-side catalog comparison, and no mounting or clearance analysis. Actual field life often differs from L10 when lubrication or contamination dominate.

Worked example

Ball bearing, C = 45 kN, P = 8.5 kN, 1500 rpm, a1 = a2 = a3 = 1. Reproduce on CALCULATE.

  1. p = 3 (ball).
  2. C/P = 45/8.5 ≈ 5.294.
  3. L10 = (5.294)³ ≈ 148.4 million revolutions.
  4. L10h = 148.4 × 10⁶ / (1500 × 60) ≈ 1649 h.

Result: Basic rating life L10 ≈ 1649 hours; L5m ≈ 1055 h; L1m ≈ 412 h.

When to use

  • Estimating L10 hours from catalog C and application P
  • Comparing ball vs roller life exponents at the same C/P
  • Screening reliability-adjusted life (L5m / L1m) for critical machines
  • Converting L10h to calendar years for maintenance planning

Limitations

  • Basic ISO 281 L10 — not full aISO modified life (κ, ηc, Pu).
  • Assumes constant C, P, and speed; duty cycles need a mean equivalent load first.
  • a2/a3 are user-entered screening factors, not computed from oil or cleanliness.
  • Not a substitute for OEM modified-life tools.

FAQ

What is L10 bearing life?
L10 is the statistical fatigue life that 90% of identical bearings are expected to reach or exceed under the stated load and speed. It is expressed in millions of revolutions or in hours at constant rpm.
What a1 values does this pad use?
ISO 281:2007: 90% → 1.00, 95% → 0.64, 96% → 0.55, 97% → 0.47, 98% → 0.37, 99% → 0.25. Older tables (0.62 / 0.21) are not used here.
How do I get P?
For pure radial load, P ≈ Fr. For combined Fr and Fa, use the bearing load calculator (P = X·V·Fr + Y·Fa) or catalog X,Y factors for your designation.
Why is field life different from L10?
L10 assumes correct mounting, lubrication, and cleanliness. Contamination, poor lubrication, misalignment, and shock usually cut life short; clean, well-lubricated machines can exceed L10.
Mechanical

Bearing Load Calculator

ISO 281 equivalent dynamic load P from Fr/Fa and type factors, plus two-bearing shaft reactions.

Open calculator
Mechanical

Bearing Selection Calculator

Recommend rolling-element bearing family from Fr/Fa, DN, required L10 hours, misalignment, and required dynamic C.

Open calculator
Mechanical

Shaft Design Calculator

Minimum shaft diameter from torsion, bending, Guest/Rankine combined, ASME Km/Kt, or twist limit. Solid or hollow.

Open calculator