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Basquin High-Cycle Fatigue Life Calculator

Basquin’s law describes the relationship between applied cyclic stress amplitude and fatigue life in the high-cycle fatigue (HCF) regime (N > 10⁴ cycles).

Applied cyclic stress amplitude.

True stress at single reversal intercept (typically ~UTS + 345 MPa for steels).

Slope of log-log S-N curve (typically -0.06 to -0.12).

What Is the Basquin High-Cycle Fatigue Life Calculator?

O.H. Basquin proposed in 1910 that high-cycle fatigue test data forms a linear relationship on a log-log plot of stress versus cycles to failure.

It applies whenever macro-scale plastic deformation is negligible and stress remains below monotonic yield.

How Does the Basquin High-Cycle Fatigue Life Calculator Work?

The fatigue strength coefficient σf’ represents the stress intercept at 1 reversal (2Nf = 1).

The negative exponent b dictates the slope; steeper slopes indicate materials that tolerate stress increases more poorly.

Basquin High-Cycle Fatigue Life Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

\sigma_a = \sigma_f' (2 N_f)^b \implies 2 N_f = \left( \frac{\sigma_a}{\sigma_f'} \right)^{1/b}

Basquin empirical power-law for high-cycle fatigue life.

How to Use the Basquin High-Cycle Fatigue Life Calculator

  1. Input stress amplitude, fatigue strength coefficient, and Basquin exponent b.
  2. Check predicted cycles to failure Nf, reversals, and log10(Nf).

Step-by-Step Example Calculation

High-Strength Steel Crankshaft

Input Values:

appliedStressAmplitudeMPa:240
fatigueStrengthCoefficientMPa:920
basquinExponentB:-0.087
Worked Steps: Predicts ~2.1×10⁵ cycles to fatigue failure.

Understanding Your Result

For steels, if stress is below the endurance limit, life is practically infinite (>10⁷ cycles).

Factors That Affect the Result

  • Surface treatments like shot peening impart compressive residual stresses that dramatically extend Basquin life.

When Should You Use This Calculator?

  • Automotive engine rotating parts, transmission gears, bridge girders, and turbine blades in HCF.

Assumptions & Limitations

  • Valid only in the elastic high-cycle fatigue regime (Nf > 10⁴ cycles).

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard ASTM E739 statistical analysis of linear fatigue S-N data.

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