Earth Bondhon
Creators
Md Jony Islam Author
Md Jony Islam
CalculatorToolsProjectExpert
Reviewers
Małgorzata Koperska, MD Steven Wooding
Last updated: October 21, 2025

Fatigue Life Calculator | Cycles to Failure & Stress Analysis Tool

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Fatigue Life Calculator

Calculate fatigue life, cycles to failure, and endurance limit. Step-by-step formulas for shafts, beams, and mechanical components under cyclic loading.

Fatigue Life Calculator:

This Fatigue Life Calculator is used to calculate how many cycles a component will survive in repeated or varying loads. Enter max/min stress, mean stress or endurance limit to calculate fatigue life and safety factors using step by step formulas.

Fatigue Life Tool Formula:

Fatigue Life (N):

\[ N = (\frac{\sigma_{a}}{\sigma_{f}})^{\frac{1}{b}} \]

(where σa = stress amplitude, σf = fatigue strength coefficient, b = fatigue strength exponent)

The Fatigue Life Calculator assists the engineers, designers and students calculate the number of cycles in which a material or component may endure before failure under repeated or varying loading. Shafts, beams, gears, and other mechanical components that experience cyclic stress at the ultimate strength below the material are usually subjected to fatigue failure.

The maximum stress, minimum stress, mean stress, alternating stress, material endurance limit or stress concentration factors can be entered by the users. The calculator can determine the fatigue life (cycles), the safety factor, and the endurance limit by using S-N (stress-life) techniques or the Goodman / Modified Goodman diagrams. The calculation of the alternating and mean stress, as well as the ratio of the stress, and the fatigue life is presented in the form of step-by-step equations, and this allows one to establish a mechanical and structural component that can endure the effects of repeated loading.

The SI units are supported: N, kN, mm, m, Pa, MPa, GPa. It is a tool that would suit mechanical engineers, civil engineers, design engineers, and students who need to be certain with accurate prediction of fatigue life and safe design of rotating shafts, beams, and other parts with cyclic loads.

⚡ Work & Installation Input to Output:

Input:

  • Maximum stress (σ_max)
  • Minimum stress (σ_min)
  • Mean stress (σ_m)
  • Alternating stress (σ_a)
  • Material endurance limit (σ_e)
  • Stress concentration factor (K_t) if applicable
  • Units: N, kN, mm, m, Pa, MPa, GPa

Processing:

  • Compute alternating stress: σ_a = (σ_max – σ_min)/2
  • Compute mean stress: σ_m = (σ_max + σ_min)/2
  • Apply Goodman, Modified Goodman, or S-N curve to calculate fatigue life
  • Factor in stress concentration if applicable
  • Validate inputs and units

Output:

  • Fatigue life (number of cycles, N_f)
  • Factor of safety against fatigue
  • Endurance limit (if applicable)
  • Step-by-step formulas and calculations

Testing and Final Adjustments

Test common scenarios:

  • Shaft under σ_max = 250 MPa, σ_min = 50 MPa, σ_e = 150 MPa → compute N_f and FS
  • Beam with bending stress σ_max = 120 MPa, σ_min = 30 MPa, K_t = 1.2 → compute fatigue life
  • Edge cases: very high stress ratios, near ultimate tensile strength, very low stress for infinite life
  • Units validation: N ↔ kN, mm ↔ m, MPa ↔ GPa
  • Step-by-step clarity for students and engineers
  • Mobile/desktop UX: numeric keypad, labels, error messages
  • Include material examples: steel, aluminum, brass, and polymers
  • SEO metadata: "Fatigue Life Calculator," "Endurance Limit Calculator," "S-N Curve Calculator," schema markup

Frequently Asked Questions - Fatigue Life Calculator:

What is fatigue life?

Fatigue life is the number of cycles a material or component can withstand under repeated or fluctuating loading before failure.

How do I calculate alternating stress?

Alternating stress σ_a = (σ_max – σ_min) / 2.

How do I calculate mean stress?

Mean stress σ_m = (σ_max + σ_min) / 2.

What is the endurance limit?

The endurance limit is the maximum stress a material can withstand for infinite cycles without failure.

Which units are supported?

Force in N or kN, length in mm or m, stress in Pa, MPa, or GPa.

Who should use this calculator?

Mechanical engineers, civil engineers, design engineers, and students analyzing cyclic loading.

Why is fatigue life important?

It predicts component life under repeated stress, preventing unexpected failure in mechanical systems.

Can it account for stress concentrations?

Yes, the calculator can include stress concentration factors (K_t) for notches or holes.

Which methods are used?

S-N curve method, Goodman diagram, and Modified Goodman method are used for calculation.

Does it show step-by-step calculations?

Yes, all formulas and intermediate steps are displayed for clarity and verification.

Md Jony Islam

Md Jony Islam

CalculatorToolsProject

Founder of Earthbondhon.com

a free online tools website designed to make everyday and engineering-related calculations easier for students, professionals, and hobbyists. The site offers a wide range of basic calculators across key categories, including Electrical Calculators, Electronic Calculators, and Time & Date Calculators.