Rolling bearing calculation

Bearing Life Calculator to ISO 281

Calculate the basic rating life L10 and the modified rating life Lnm of a rolling bearing to ISO 281 in revolutions and operating hours.

ISO281+ 76
01

Inputs

Extended calculation
02

Results

Inputs and method

Rolling-bearing life to ISO 281

Calculate basic and modified rating life from ratings, equivalent loads and operating conditions.

Inputs

Enter bearing type, dynamic rating C, equivalent dynamic load P and speed. Static checking adds C₀ and P₀; modified life uses reliability, viscosity ratio κ, fatigue load limit Cu and contamination factor.

C and P act exponentially: a modest increase in equivalent load can greatly reduce life because of exponent p. Speed converts revolutions into hours; κ, Cu and eC indicate whether lubrication and cleanliness limit contact life.

Calculation

Basic rating life is L₁₀ = (C/P)^p million revolutions, with p = 3 for ball and p = 10/3 for roller bearings. Divide by 60·n for hours; modified life adds operating factors.

Example

C = 10 kN and P = 2 kN give L₁₀ ≈ 125 million rotations for a ball bearing, or about 2,083 h at 1,000 rpm.

Sources and limits: ISO 281 (dynamic life), ISO 76 (static safety) and ISO/TR 1281 (modified factors). Confirm lubrication, mounting and catalogue limits.

Technical article

Rolling-bearing life to ISO 281 in detail

Calculate basic and modified rating life from ratings, equivalent loads and operating conditions.

What does this quantity describe?

Mechanical calculators translate geometry and load into a response such as torque, stress, deflection, spring force or bearing life. The position of the load relative to the effective axis is often decisive.

Formula and variables

Basic rating life is L₁₀ = (C/P)^p million revolutions, with p = 3 for ball and p = 10/3 for roller bearings. Divide by 60·n for hours; modified life adds operating factors.

Choose the inputs correctly

Enter bearing type, dynamic rating C, equivalent dynamic load P and speed. Static checking adds C₀ and P₀; modified life uses reliability, viscosity ratio κ, fatigue load limit Cu and contamination factor. C and P act exponentially: a modest increase in equivalent load can greatly reduce life because of exponent p. Speed converts revolutions into hours; κ, Cu and eC indicate whether lubrication and cleanliness limit contact life.

How to use the calculator

Enter bearing type, dynamic rating C, equivalent dynamic load P and speed. For modified life, add reliability, viscosity ratio κ, fatigue load limit Cu and contamination factor; for static checking, add C₀ and P₀.

Worked example

C = 10 kN and P = 2 kN give L₁₀ ≈ 125 million rotations for a ball bearing, or about 2,083 h at 1,000 rpm.

Understand the result and units

C and P act exponentially: a modest increase in equivalent load can greatly reduce life because of exponent p. Speed converts revolutions into hours; κ, Cu and eC indicate whether lubrication and cleanliness limit contact life. The result shows the idealized component response for the selected load case. A small change in diameter, height, length or load can have a large effect because of power laws.

Ratings and loads in kN, speed in rpm, life in million revolutions or operating hours.

Typical applications

Estimating expected bearing life at a given load and speed, or comparing how a load change or a different bearing type affects life.

Assumptions, limits and common mistakes

ISO 281 (dynamic life), ISO 76 (static safety) and ISO/TR 1281 (modified factors). Confirm lubrication, mounting and catalogue limits.

Common mistake: Don't confuse equivalent load P with pure radial load – under combined radial and axial loading, P must be formed using the bearing-specific X and Y factors, or life is noticeably overestimated. The life exponent p differs between ball (p = 3) and roller bearings (p = 10/3); mixing them up substantially distorts the result since load enters exponentially.

Frequently asked questions

Why does a small load increase affect life so strongly?

Because load enters with exponent p (3 for ball, 10/3 for roller bearings): doubling load cuts basic rating life to an eighth for ball bearings.

What does modified life add over L10?

It additionally accounts for lubrication condition, contamination and a reliability other than 90%, and can either raise or substantially lower basic rating life.

Does a calculated life replace the manufacturer's approval?

No. Mounting, misalignment, lubrication type, in-service contamination and actual load distribution in the system can noticeably change real life versus the calculation.

Sources, method and review

  • ISO 281 (dynamic life), ISO 76 (static safety) and ISO/TR 1281 (modified factors). Confirm lubrication, mounting and catalogue limits.

Our method, source hierarchy and automated checks are documented on the methodology page. Read the methodology

Responsible
NormCalc-Redaktion
Last updated
2026-09-04
Interpret bearing life

What this calculator does

From load ratings, equivalent loads, speed, and reliability, it calculates basic/modified rating life and static safety.

Basic rating life is a statistical fatigue measure. Lubrication, contamination, mounting, temperature, and the real load spectrum remain decisive.

Typical tasks
  • Compare bearings for motors and gears
  • Evaluate speed or load variants
  • Check static safety at standstill
Design notes and follow-up standards

Check before release

01

Equivalent load

For varying loads and speeds, establish a representative duty cycle first.

02

Lubrication and cleanliness

Modified life is only as reliable as viscosity, fatigue-load limit, and contamination input.

03

Static case

Shock, slow oscillation, or standstill can make the ISO 76 check more critical than rating life.

Useful follow-up standards

01

ISO/TR 1281-1

Practical application of bearing load and life models.

02

ISO/TR 1281-2

Further guidance on modified life and system effects.

03

ISO 15243

Systematic classification of observed bearing damage and causes.