engineering

Factor of Safety Calculator

Calculate static factor of safety and fatigue life using Goodman and Soderberg criteria

Factor of Safety Calculator

Calculate static factor of safety or fatigue safety factor using Goodman or Soderberg criteria.

Factor of Safety n2.500

Design is SAFE

Formula

n = S_y / σ_actual = 250.00 MPa / 100.00 MPa
n = 2.500
Design load capacity = n × applied load = 2.500 × applied

How to Use This Calculator

1

Select the failure theory

Choose Goodman, Soderberg, or static yield for the appropriate fatigue or static loading scenario.

2

Enter stress components and material properties

Input the mean stress, alternating stress, ultimate tensile strength (Sut), and endurance limit (Se).

3

Read the factor of safety

The calculator applies the selected criterion and returns the factor of safety (n). Values below 1 indicate predicted failure.

Formula Reference

Goodman Criterion

σa/Se + σm/Sut = 1/n

Variables: σa = alternating stress, σm = mean stress, Se = endurance limit, Sut = ultimate tensile strength, n = factor of safety

When to Use This Calculator

  • Use the Factor of Safety Calculator when solving homework or exam problems that require quick numerical verification of your hand calculations.
  • Use it during the design phase to rapidly iterate on parameters before running detailed finite element simulations.
  • Use it when reviewing a colleague's calculation or checking a vendor's data sheet for plausibility.
  • Use it to generate reference data for a technical report or presentation without manual computation.

Related Calculators