Bearings · Catalog-factor static load equivalence
Bearing Equivalent Static Load Calculator
Calculate radial-bearing equivalent static load P₀ from paired maximum Fr and Fa loads, verified X₀ and Y₀ factors, and the applicable radial-floor rule.
Reference calculator #017
Enter maximum bearing loads and static catalog factors
Inputs stay in your browser. Values are normalized to canonical units before calculation.
Calculated output
Results
- Catalog expression X₀Fr + Y₀Fa
- Static radial contribution X₀Fr
- Static axial contribution Y₀Fa
- Applied load ratio Fa / Fr
- Governing P₀ branch
Valid catalog-factor equivalent static radial load result
- The calculation targets a radial rolling bearing for which the exact product method uses the catalog-factor expression X₀Fr + Y₀Fa.
- Fr and Fa are the paired radial and axial components from the maximum governing load case, not unrelated independent maxima.
- X₀ and Y₀ are user-supplied static factors for the exact bearing designation, arrangement, load direction, and product method.
- The selected radial-floor rule matches the exact product instruction; the calculator does not decide whether P₀ must be at least Fr.
- The result is an equivalent static radial load for input to the simplified static safety-factor relationship when that method applies.
- Pure thrust bearings, bearing types that prohibit combined loading, internal load distribution, moment load, preload derivation, misalignment, clearance, and ISO 17956 analysis are excluded.
Calculation engine: bearing-equivalent-static-load/1.0.0
Equivalent static radial load formula
For a radial bearing whose current product method supplies static factors X₀ and Y₀, first calculate:
Then apply the exact product instruction:
| Symbol | Meaning | Unit |
|---|---|---|
P₀ |
Equivalent static radial bearing load | N, kN, or lbf |
Fᵣ |
Radial component from the governing load combination | N, kN, or lbf |
Fₐ |
Axial component paired with Fr in that load combination | N, kN, or lbf |
X₀ |
Manufacturer static radial load factor | dimensionless |
Y₀ |
Manufacturer static axial load factor | dimensionless |
The engine converts both loads to canonical newtons before applying the factors and returns P₀ in the selected display unit.
Safe default: purely radial load
The initial form uses Fᵣ = 10 kN, Fₐ = 0, X₀ = 1, and Y₀ = 0:
X₀Fᵣ = 1 × 10 = 10 kN.Y₀Fₐ = 0 × 0 = 0 kN.- Catalog candidate:
10 + 0 = 10 kN. - The candidate equals the radial load, so
P₀ = 10 kN.
This default avoids presenting a combined-load factor set as universal.
Illustrative combined-load example
Suppose the exact product method provides X₀ = 0.6 and Y₀ = 0.5, while one governing load combination contains Fᵣ = 5 kN and Fₐ = 8 kN:
- Static radial contribution:
0.6 × 5 = 3 kN. - Static axial contribution:
0.5 × 8 = 4 kN. - Catalog candidate:
3 + 4 = 7 kN. - Radial floor:
Fᵣ = 5 kN. - If the product method applies the floor,
P₀ = max(5, 7) = 7 kN.
The values 0.6 and 0.5 are illustrative only. They must not be copied to another bearing, arrangement, or manufacturer method without verification.
Why the radial-floor rule is explicit
Some product instructions state that when the catalog expression is below Fr, the calculation must use P₀ = Fᵣ. Other bearing types use factors that already keep the expression at or above Fr, while special bearing types can require a different direct equation.
Select Apply P₀ ≥ Fr radial floor only when the exact method states that rule. If you select Use catalog expression directly and the result falls below Fr, the calculator preserves the arithmetic result but raises a warning for catalog verification.
Use paired loads from one governing case
SKF instructs users to insert radial and axial components for the maximum load that can occur and to consider the combination producing the highest P₀ when load direction varies.
Do not automatically combine the highest Fr from one operating condition with the highest Fa from another. Instead:
- identify credible steady, transient, stationary, shock, and handling cases;
- determine the Fr and Fa components that occur together in each case;
- apply the exact factor and floor rule to each pair;
- retain the case producing the governing P₀.
This calculator evaluates one pair at a time and does not build the bearing reaction load cases.
Find X₀ and Y₀ in exact product data
Static factors depend on bearing type and arrangement. Some radial needle or cylindrical roller bearings use P₀ = Fᵣ; some axial bearings use a direct axial expression; and some bearing types do not permit combined loading.
Before calculating, confirm:
- exact bearing designation and manufacturer;
- single, tandem, back-to-back, face-to-face, or other arrangement;
- permitted radial and axial load directions;
- product-table X₀ and Y₀ values;
- whether the radial-floor rule applies;
- whether preload, shock, clearance, or another factor must be included before P₀ is evaluated.
If axial load is positive while Y₀ is zero, the calculator warns that the axial component is ignored. It does not determine the correct Y₀.
P₀ is not dynamic P or a vector resultant
Do not substitute √(Fᵣ² + Fₐ²). P₀ is a scalar load-equivalence value based on maximum rolling-contact loading under a static method.
Dynamic equivalent load P is a separate fatigue-life input and can use different X, Y, and load-ratio branches. Use the Bearing Equivalent Dynamic Load Calculator for that calculation.
Continue to static safety factor
After verifying P₀, continue to the Bearing Static Safety Factor Calculator. The related-action link transfers P₀ and supplies placeholder values of C₀ = 30 kN and target s₀ = 2.
Replace both placeholders with the manufacturer-published basic static rating and the application-specific target before interpreting the result.
Engineering scope and limitations
This calculator evaluates one radial-bearing catalog-factor expression with an explicit optional radial floor. It excludes:
- automatic bearing identification, factor lookup, or arrangement selection;
- pure-thrust calculations or bearing types whose method does not use the radial expression;
- confirmation that combined loading is permissible;
- derivation of shaft reactions, bearing load sharing, moment load, preload, shock, or housing/shaft stiffness effects;
- automated evaluation of multiple load cases, changing load directions, reversals, oscillation, or duty cycles;
- internal load distribution, contact stress, truncation of contact area, tilt, misalignment, clearance, fits, or ISO 17956 analysis;
- basic static rating C₀, static safety factor, permanent-deformation acceptance, noise or accuracy requirements;
- dynamic P, L10 rating life, fatigue, minimum load, skidding, lubrication, contamination, wear, false brinelling, temperature, speed limits, sealing, mounting, or maintenance;
- product availability, dimensional compatibility, cost, warranty, certification, or final application approval.
Use current product documentation and manufacturer application guidance to verify every factor, load case, and rule before bearing selection.
Frequently asked questions
What is equivalent static bearing load P₀?
P₀ is a hypothetical radial load for a radial bearing that produces the same maximum rolling-element contact load as the applicable actual combined load under the selected static-load method. It is not a geometric vector resultant.
How do I choose static bearing factors X₀ and Y₀?
Use the current product table or calculation section for the exact bearing designation, arrangement, and load direction. Static X₀ and Y₀ are not automatically the same as dynamic X and Y.
When should P₀ be no lower than Fr?
Some radial-bearing product methods explicitly state that P₀ = Fr must be used when X₀Fr + Y₀Fa is lower than Fr. Apply the radial floor only when the exact bearing method requires it; otherwise select the direct catalog expression and review any warning.
Should I combine the separate maximum Fr and maximum Fa values?
Not unless they occur in the same load case. Evaluate paired radial and axial components for each credible operating or shock condition, then use the combination that produces the governing P₀ under the exact method.
Can I use P₀ in the static safety factor calculator?
Yes, after verifying the load case, factors, radial-floor rule, and bearing applicability. The handoff transfers P₀ with placeholder C₀ and target values that must be replaced with exact data.
References and review status
Reviewed . References support the formula, terminology, maximum-load workflow, radial-floor example, and bearing-method exclusions; they do not imply endorsement, factor validity, bearing approval, or standards conformity.
- ISO 76:2006 — Rolling bearings — Static load ratings — Official standard record for basic static load rating, static equivalent load, conventional-bearing scope, and conditions requiring manufacturer consultation.
- SKF — Rolling bearings catalogue — Manufacturer source for the definition of P₀, the general X₀Fr + Y₀Fa equation, maximum-load combinations, and product-section factor lookup.
- Schaeffler — Rolling Bearings, Technical Principles — Independent manufacturer source for equivalent static load, X₀/Y₀ product factors, bearing-type exclusions, and direct Fr or Fa cases.
- SKF — Y-bearings and Y-bearing units — Product-method example that explicitly uses P₀ = Fr when the catalog expression is lower and instructs evaluation of the maximum governing load combination.