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Factor of Safety Formula

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The Factor of Safety is Ratio of ultimate state to allowable state. Check FAQs

F.O.S = \frac{U}{P}

F.O.S - Factor of Safety?U - Ultimate Stress?P - Permissible Stress?

Factor of Safety Example

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Here is how the Factor of Safety equation looks like with Values.

Here is how the Factor of Safety equation looks like with Units.

Here is how the Factor of Safety equation looks like.

4.0833 = \frac{49}{12}

4.0833 = \frac{49MPa}{12MPa}

4.0833 = \frac{49}{12}

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Factor of Safety Solution

Follow our step by step solution on how to calculate Factor of Safety?

FIRST Step Consider the formula

F.O.S = \frac{U}{P}

Next Step Substitute values of Variables

∴

F.O.S = \frac{49MPa}{12MPa}

Next Step Convert Units

∴

F.O.S = \frac{4.9E+7Pa}{1.2E+7Pa}

Next Step Prepare to Evaluate

∴

F.O.S = \frac{4.9E+7}{1.2E+7}

Next Step Evaluate

∴

F.O.S = 4.08333333333333

LAST Step Rounding Answer

∴

F.O.S = 4.0833

Factor of Safety Formula Elements

Variables

Factor of Safety

The Factor of Safety is Ratio of ultimate state to allowable state.

Symbol: F.O.S

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Factor of Safety

Ultimate Stress

Ultimate Stress refers to the maximum stress that a given material can withstand under an applied force.

Symbol: U

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Ultimate Stress

Permissible Stress

Permissible Stress is the allowable stress in a design.

Symbol: P

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Permissible Stress

Other formulas in FOS and Moduli category

Go Modulus of Elasticity given Tensile Stress

E = (\frac{σ t}{ε tensile})

Go Modulus of Elasticity given Compressive Stress

E = (\frac{σ c}{ε compressive})

Go Modulus of Rigidity given Shear Stress

G = (\frac{𝜏}{𝜂})

Go Modulus of Elasticity given Normal Stress

E = \frac{σ n}{ε component}

How to Evaluate Factor of Safety?

Factor of Safety evaluator uses Factor of Safety = Ultimate Stress/Permissible Stress to evaluate the Factor of Safety, Factor of safety expresses how much stronger a system is than it needs to be for an intended load. Factor of Safety is denoted by F.O.S symbol.

How to evaluate Factor of Safety using this online evaluator? To use this online evaluator for Factor of Safety, enter Ultimate Stress (U) & Permissible Stress (P) and hit the calculate button.

FAQs on Factor of Safety

What is the formula to find Factor of Safety?

The formula of Factor of Safety is expressed as Factor of Safety = Ultimate Stress/Permissible Stress. Here is an example- 4.083333 = 49000000/12000000.

How to calculate Factor of Safety?

With Ultimate Stress (U) & Permissible Stress (P) we can find Factor of Safety using the formula - Factor of Safety = Ultimate Stress/Permissible Stress.

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Factor of Safety Formula

Factor of Safety Example

Factor of Safety Solution

Factor of Safety Formula Elements

Other formulas in FOS and Moduli category

How to Evaluate Factor of Safety?

FAQs on Factor of Safety

Variable Name