Machine element life, S-N curve, and fatigue guide
Machine Elements
Set up a fatigue approach for shafts, bolts, welds, and bearings under repeated loading.
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Doc version: 1.0 | Updated: 2026-02-07
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Bearing Life (L10)
Calculate L10 and L10h from C, P, type, and rpm.
Inputs
Enter bearing ratings and speed.
Results
Basic rating life from the standard equation.
L10 (million rev)
15.63
L10h (hours)
173.61
Exponent p
3.000
How it is calculated
Formulas used
L10 = a1 * (C / P)^p
L10h = (L10 * 10^6) / (60 * n)
Variables
- C
- Dynamic load rating.
- P
- Equivalent load.
- p
- Exponent (3 for ball, 10/3 for roller).
- a1
- Reliability factor.
- n
- Speed (rpm).
- L10
- Basic rating life (million rev).
- L10h
- Life in hours.
Usage notes
- Assumes constant load and speed.
- Based on standard rating life equation.
Show reports, charts, and comparison tools
After checking the basic result, open sharing, PDF, method notes, and comparison panels.
Standard Documentation
Bearing Life (L10)Scope: What does this tool calculate?
Bearing Life (L10) performs the core engineering calculation for this tool type and presents results in a traceable format.
Assumptions and Units
- SI units are the baseline; input unit consistency must be verified by the user.
- The calculation path is deterministic (same inputs = same outputs).
- If default material/environment values are used, replace them with project-specific values.
Limits / Boundaries
- This tool is intended for preliminary sizing and technical checks, not final design approval.
- When inputs are outside expected ranges, validate input quality before interpreting outputs.
Reference Standard
- ISO / DIN / VDI references and common engineering handbooks
Validation Example
Validation example
| Input | Expected Output |
|---|---|
| Input set: Unit-consistent project values | Expected output: Tool result is in the same order as standard references |
Note: In real projects, run at least one manual check or reference-table comparison.
Version and Update
- Version
- v0.1.0
- Last updated
- 2026-03-04
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Premium plan
Premium is in private beta. Early access opens in small batches.
Calculation explanation
How to use
- Enter dynamic load C and equivalent load P.
- Select bearing type and speed.
- Set reliability factor a1 if needed and review L10/L10h.
Formula
L10 = a1·(C/P)^p | L10h = (L10·10^6)/(60·n) | p = 3 (ball), p = 10/3 (roller)Common mistakes
- Mixing units for C and P.
- Entering speed in rad/s instead of rpm.
- Ignoring the a1 reliability factor.
References
- ISO 281 (Rolling bearing life)
Confidence SnapshotVersion: 1.0
Last updated: 2026-02-07
References
- ISO 281 (Rolling bearing life)
Assumptions
- Loads are assumed constant.
- L10 corresponds to 90% reliability.
Guides
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