BPD

Engineering

Bearing Preliminary Design Calculator

Form the catalog X-Y equivalent load, calculate ISO 281 basic rating life, apply an entered life adjustment, convert revolutions to hours, and solve the required dynamic rating.

Equivalent dynamic bearing load P-
Basic L10 life (million revolutions)-
Adjusted rating life (million revolutions)-
Adjusted rating life at entered speed-
Required life in million revolutions-
Dynamic rating required for entered life-
Catalog C minus required C-
Calculated minus required life-
Static rating divided by equivalent static load-
Dynamic rating divided by equivalent dynamic load-

Decision view

ISO 281 load-life and rating margin

ISO 281 load-life and rating marginCatalog X and Y factors form the equivalent dynamic load; the rating-life power law is adjusted and converted from revolutions to hours before the required C rating is compared with the catalog value.
Exact scenario comparisonApplied radial load Fr (kN) changes while all other entered assumptions remain constant.
Applied radial load Fr (kN)Equivalent dynamic bearing load PBasic L10 life (million revolutions)Adjusted rating life (million revolutions)Adjusted rating life at entered speedRequired life in million revolutionsDynamic rating required for entered lifeCatalog C minus required CCalculated minus required lifeStatic rating divided by equivalent static loadDynamic rating divided by equivalent dynamic load

How to use Bearing Preliminary Design Calculator

  1. Use catalog X and Y factors for the selected bearing and load ratio.
  2. Enter dynamic and static ratings with equivalent loads.
  3. Set speed, exponent, adjustment factor, and required hours.

Calculator guide

Understanding Bearing Preliminary Design Calculator

Bearing rating life depends on an equivalent dynamic load, the catalog dynamic rating, a bearing-type exponent, speed, and clearly stated adjustment factors.

Catalog inputs X, Y, C, C0, and P0 must match the selected bearing.
Power law Rating life is highly sensitive to the C/P ratio.
Unit bridge Million revolutions are converted to hours using rpm.

Detailed calculation process

Detailed bearing rating-life calculation

The default case traces equivalent load through life and required rating.

General formula: P=XFr+YFaL10=(C/P)^pL_adj=aL10h=10^6L_adj/(60n)C_req=P[L_req/a]^(1/p) Life is in million revolutions before speed conversion. Required rating reverses the same power law.

What each symbol means

Fr, Fa radial and axial loads (kN)
X, Y catalog load factors
C basic dynamic rating (kN)
p life exponent
a combined life adjustment factor
n speed (rpm)

Worked substitution with the default inputs

1. Equivalent load P=1(12)+1.5(3)=16.5 kN Radial and axial catalog contributions are added.
2. Calculated life L10=(52/16.5)^3=31.301 million revL_adj=0.8*31.301=25.041 million revh=25.041e6/(60*1200)=347.789 h The high speed converts the revolution life into relatively few hours.
3. Required rating L_req=20000*60*1200/1e6=1440 million revC_req=16.5(1440/0.8)^(1/3)=200.713 kN The required rating exceeds the default 52 kN catalog value.

Using the calculated required C in the adjusted life equation reproduces the 20,000-hour requirement.

Worked situations

Practical examples

  • For a ball bearing use p=3 when the catalog method supports it.
  • A lower life adjustment factor reduces calculated life and increases required C.

Better inputs

Useful tips

  • Use manufacturer catalog factors, not generic guesses.
  • Integrate variable duty cycles separately.
  • Check minimum load and static safety as independent requirements.

Before relying on the result

Limitations and common mistakes

  • Lubrication, contamination, misalignment, and clearance require manufacturer methods.
  • One constant load and speed are modeled.
  • Reliability is represented only by the entered combined adjustment.

Reference

Key terms

Basic dynamic rating C
Catalog load rating used in the rating-life equation.
Equivalent dynamic load P
Catalog-factor combination of radial and axial load.
L10 life
Basic rating life associated with 90% reliability under the standard model.

Important note

Final selection must follow the current bearing manufacturer catalog and application-specific adjustment method.

Frequently asked questions

Why is the default life short?

The entered equivalent load is large relative to C and the bearing rotates at 1,200 rpm.

Does static safety prove long life?

No. Static and dynamic criteria address different failure concerns.

Can I enter p=10/3?

Yes, when that exponent matches the selected roller-bearing catalog method.