Overview
The endurance limit (fatigue limit) is the maximum stress amplitude a material can withstand for an infinite number of cycles without failure.
Formula
Calculator
Notes
- Results are approximate and should be verified for critical applications
- Input values should be within reasonable engineering ranges
Key Concepts
Fatigue
Failure of a material due to repeated cycles of stress or strain, occurring at stress levels below the material's yield strength. This is a common failure mode in cyclically loaded components like connecting rods, crankshafts, and turbine blades.
Creep
Time-dependent deformation of a material under a sustained load over a long period. Creep strength generally decreases with increasing temperature. For steel bolts and piping, a typical allowable creep strain specification is ~0.1%/year.
Important Material Properties
- Yield Strength (σ_y): The stress at which a material transitions from elastic to plastic deformation.
- Tensile Strength (σ_u or UTS): The maximum stress a material can withstand while being stretched before necking and breaking.
- Endurance Limit (σ_e): The maximum cyclic stress amplitude a material can endure for an "infinite" number of cycles without fatigue failure. Also called the fatigue limit.
Formula: General Relationship
For many steels, a useful rule of thumb for the endurance limit is:
This relationship is approximate and varies based on steel composition, treatment, and surface finish, as shown in the table above (where the ratio ranges from 0.41 to 0.53).