✖Ultimate Stress refers to the maximum stress that a given material can withstand under an applied force.ⓘ Ultimate Stress [U]			+10% -10%
✖Permissible Stress is the allowable stress in a design.ⓘ Permissible Stress [P]			+10% -10%

✖The Factor of Safety is Ratio of ultimate state to allowable state.ⓘ Factor of Safety [F.O.S]

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Formula

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Factor of Safety

Formula

`"F.O.S" = "U"/"P"`

Example

`"4.083333"="49MPa"/"12MPa"`

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Factor of Safety Solution

STEP 0: Pre-Calculation Summary

Formula Used

Factor of Safety = Ultimate Stress/Permissible Stress
F.O.S = U/P
This formula uses 3 Variables

Variables Used

Factor of Safety - The Factor of Safety is Ratio of ultimate state to allowable state.
Ultimate Stress - (Measured in Pascal) - Ultimate Stress refers to the maximum stress that a given material can withstand under an applied force.
Permissible Stress - (Measured in Pascal) - Permissible Stress is the allowable stress in a design.

STEP 1: Convert Input(s) to Base Unit

Ultimate Stress: 49 Megapascal --> 49000000 Pascal (Check conversion here)
Permissible Stress: 12 Megapascal --> 12000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F.O.S = U/P --> 49000000/12000000

Evaluating ... ...

F.O.S = 4.08333333333333

STEP 3: Convert Result to Output's Unit

4.08333333333333 --> No Conversion Required

FINAL ANSWER

4.08333333333333 ≈ 4.083333 <-- Factor of Safety

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Mechanical » Relationship between Stress and Strain » Factor of Safety

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< 6 Relationship between Stress and Strain Calculators

Modulus of Elasticity given Compressive Stress

Go Modulus of Elasticity = (Compressive Stress/Compressive Strain)

Modulus of Elasticity given Normal Stress

Go Modulus of Elasticity = Normal Stress/Strain in Component

Modulus of Elasticity given Tensile Stress

Go Modulus of Elasticity = (Tensile Stress/Tensile Strain)

Factor of Safety

Go Factor of Safety = Ultimate Stress/Permissible Stress

Modulus of Rigidity given Shear Stress

Go Modulus of Rigidity = (Shear Stress/Shear Strain)

Margin of Safety

Go Margin of Safety = Factor of Safety-1

Factor of Safety Formula

Factor of Safety = Ultimate Stress/Permissible Stress
F.O.S = U/P

What is Factor of Safety?

The ratio of ultimate stress to permissible stress is called a factor of safety. the maximum stress to which any member is designed is much less than the ultimate stress, and this stress is called permissible stress

How to Calculate Factor of Safety?

Factor of Safety calculator uses Factor of Safety = Ultimate Stress/Permissible Stress to calculate 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 calculate Factor of Safety using this online calculator? To use this online calculator for Factor of Safety, enter Ultimate Stress (U) & Permissible Stress (P) and hit the calculate button. Here is how the Factor of Safety calculation can be explained with given input values -> 4.083333 = 49000000/12000000.

FAQ

What is Factor of Safety?

Factor of safety expresses how much stronger a system is than it needs to be for an intended load and is represented as F.O.S = U/P or Factor of Safety = Ultimate Stress/Permissible Stress. Ultimate Stress refers to the maximum stress that a given material can withstand under an applied force & Permissible Stress is the allowable stress in a design.

How to calculate Factor of Safety?

Factor of safety expresses how much stronger a system is than it needs to be for an intended load is calculated using Factor of Safety = Ultimate Stress/Permissible Stress. To calculate Factor of Safety, you need Ultimate Stress (U) & Permissible Stress (P). With our tool, you need to enter the respective value for Ultimate Stress & Permissible Stress and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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