Fatigue Life Calculator (S-N Curve)

Calculate fatigue life using the S-N curve with our authoritative, user-friendly tool.

Full original guide (expanded)

Fatigue Life Calculator (S-N Curve)

Estimate fatigue life from stress amplitude and cycles using an S-N curve model.

Calculator

Results

Estimated Fatigue Life 0 cycles

Data Source and Methodology

All calculations are based on the S-N curve methodology as outlined in the Fatigue Design Handbook.

The Formula Explained

S-N Curve: \( N = \left( \frac{\sigma_a}{\sigma_e} \right)^b \)

Glossary of Terms

  • Stress Amplitude (\(\sigma_a\)): The stress level at each cycle.
  • Cycles to Failure (N): Number of cycles material can withstand before failure.

How It Works: A Step-by-Step Example

For a stress amplitude of 150 MPa, the estimated fatigue life is 10,000 cycles using the S-N curve method.

Frequently Asked Questions (FAQ)

What is fatigue life?

Fatigue life is the number of cycles a material can endure before failure.

How is the S-N curve used?

The S-N curve is used to predict the number of cycles to failure for a given stress level.


Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\]
','
Formula (extracted text)
S-N Curve: \( N = \left( \frac{\sigma_a}{\sigma_e} \right)^b \)
Variables and units
  • No variables provided in audit spec.
Sources (authoritative):
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn

Fatigue Life Calculator (S-N Curve)

Estimate fatigue life from stress amplitude and cycles using an S-N curve model.

Calculator

Results

Estimated Fatigue Life 0 cycles

Data Source and Methodology

All calculations are based on the S-N curve methodology as outlined in the Fatigue Design Handbook.

The Formula Explained

S-N Curve: \( N = \left( \frac{\sigma_a}{\sigma_e} \right)^b \)

Glossary of Terms

  • Stress Amplitude (\(\sigma_a\)): The stress level at each cycle.
  • Cycles to Failure (N): Number of cycles material can withstand before failure.

How It Works: A Step-by-Step Example

For a stress amplitude of 150 MPa, the estimated fatigue life is 10,000 cycles using the S-N curve method.

Frequently Asked Questions (FAQ)

What is fatigue life?

Fatigue life is the number of cycles a material can endure before failure.

How is the S-N curve used?

The S-N curve is used to predict the number of cycles to failure for a given stress level.


Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\]
','
Formula (extracted text)
S-N Curve: \( N = \left( \frac{\sigma_a}{\sigma_e} \right)^b \)
Variables and units
  • No variables provided in audit spec.
Sources (authoritative):
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn

Fatigue Life Calculator (S-N Curve)

Estimate fatigue life from stress amplitude and cycles using an S-N curve model.

Calculator

Results

Estimated Fatigue Life 0 cycles

Data Source and Methodology

All calculations are based on the S-N curve methodology as outlined in the Fatigue Design Handbook.

The Formula Explained

S-N Curve: \( N = \left( \frac{\sigma_a}{\sigma_e} \right)^b \)

Glossary of Terms

  • Stress Amplitude (\(\sigma_a\)): The stress level at each cycle.
  • Cycles to Failure (N): Number of cycles material can withstand before failure.

How It Works: A Step-by-Step Example

For a stress amplitude of 150 MPa, the estimated fatigue life is 10,000 cycles using the S-N curve method.

Frequently Asked Questions (FAQ)

What is fatigue life?

Fatigue life is the number of cycles a material can endure before failure.

How is the S-N curve used?

The S-N curve is used to predict the number of cycles to failure for a given stress level.


Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\]
','
Formula (extracted text)
S-N Curve: \( N = \left( \frac{\sigma_a}{\sigma_e} \right)^b \)
Variables and units
  • No variables provided in audit spec.
Sources (authoritative):
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn
Formulas

(Formulas preserved from original page content, if present.)

Version 0.1.0-draft
Citations

Add authoritative sources relevant to this calculator (standards bodies, manuals, official docs).

Changelog
  • 0.1.0-draft — 2026-01-19: Initial draft (review required).