OhMyCalc

Fatigue Life Calculator

Calculate cycles to failure using the S-N curve: N = (S_e / S_a)^(1/b). Enter stress amplitude, endurance limit, and fatigue exponent.

How to Use the Fatigue Life Calculator

  1. Enter the operating stress amplitude in MPa.
  2. Enter the material endurance limit in MPa.
  3. Enter the fatigue exponent b (negative number, e.g. −0.1).

Use Cases

Formula

N = (S_e / S_a)^(1/b), where N is cycles to failure, S_e is endurance limit (MPa), S_a is stress amplitude (MPa), b is the fatigue exponent (typically −0.05 to −0.15).

Frequently Asked Questions

What is the S-N curve?
The S-N curve (Wöhler curve) plots cycles to failure against stress amplitude. Lower stress means longer component life.
What is the fatigue exponent b?
The fatigue exponent b is a negative number describing the slope of the S-N curve. For steels b ≈ −0.1; for aluminium b ≈ −0.07 to −0.14.
What is the endurance limit?
The endurance limit (S_e) is the stress below which a material theoretically has infinite fatigue life. For steels S_e ≈ 0.5 × σ_uts.