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Mechanical & Civil Engineering

Miner's Rule Cumulative Fatigue Damage Calculator

Calculate cumulative fatigue damage and remaining life fraction using Miner's rule.

Your inputs

Change any value to update the result instantly.

Mechanical & Civil Engineering
cycles
cycles
cycles
cycles

Cumulative damage D

0.14

Remaining life fraction

86 %

Damage from load 1

0.1

Damage from load 2

0.04

What this calculator does

Miner's Rule Cumulative Fatigue Damage Calculator: Applies the standard mechanics-of-materials relationship for this load case so a student can see how the stress, strain or deflection follows from the geometry and the load.

What your result means

The headline figure tells you how hard the material is being worked, or how much it moves, under the load you entered. Compare it with the allowable value for your material and required factor of safety.

Formula and working

D = Σ(ni/Ni)

  1. 1

    Collect the inputs

    Cycles applied at load 1 = 1,000 cycles; Cycles to failure at load 1 = 10,000 cycles; Cycles applied at load 2 = 2,000 cycles; Cycles to failure at load 2 = 50,000 cycles

  2. 2

    Apply the formula

    D = Σ(ni/Ni)

  3. 3

    Result

    Cumulative damage D = 0.14

Frequently asked questions

Symbols and assumptions

n1
Cycles applied at load 1 (cycles)
N1
Cycles to failure at load 1 (cycles)
n2
Cycles applied at load 2 (cycles)
N2
Cycles to failure at load 2 (cycles)
  • • The material is homogeneous, isotropic and loaded within its linear-elastic range.
  • • Inputs are entered in a consistent unit system, as labelled on each field.

Sources and review

Reviewed 2026-09-22 · Next review 2027-09-22

Mechanics of Materials — axial stress and strain, torsion, bending, combined loading and stress transformationEngineering LibreTextsShigley's Mechanical Engineering Design — stress, deflection, fatigue, shafts, springs, gears, bearings and fastenersBudynas & Nisbett, McGraw-HillNIST Special Publication 811 — Guide for the Use of the International System of UnitsUS National Institute of Standards and Technology
  • • This is an educational estimate for learning and checking, not a design deliverable.
  • • Real design must follow the governing code or standard for your jurisdiction and be reviewed and signed off by a qualified engineer.
  • • Safety factors, load combinations and material certification are the responsibility of the designer, not of this page.

Important limitation

This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.

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