EngiRef / Mechanical Engineering Formula

Factor of Safety

Factor of Safety: Ratio of yield strength to working stress. A Machine Design formula in mechanical engineering. Variables FS, Sᵧ and σ, each with SI and…

Machine Design

Specification

Name
Factor of Safety
Discipline
mechanical
Category
Machine Design
LaTeX
FS = \frac{S_y}{\sigma}
Description
Ratio of yield strength to working stress
Can solve for
FS, Sᵧ, σ
Tags
safety, factor, yield, design

Variables

Variables for Factor of Safety
SymbolNameUnitSi UnitImperial Unit
FSFactor of Safety - - -
SᵧYield StrengthPaPapsi
σWorking StressPaPapsi

Common questions

What is the Factor of Safety formula?
Ratio of yield strength to working stress. It sits under Machine Design, Mechanical engineering in the EngiRef reference.
What do the symbols in the Factor of Safety formula mean?
In Factor of Safety, FS is factor of safety; Sᵧ is yield strength in Pa; σ is working stress in Pa.