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Permissible Stress using Factor of Safety Formula

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Permissible Stress is the allowable stress in a design. Check FAQs

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

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

Permissible Stress using Factor of Safety Example

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With units

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

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

Here is how the Permissible Stress using Factor of Safety equation looks like.

12.25 = \frac{49}{4}

12.25MPa = \frac{49MPa}{4}

12.25 = \frac{49}{4}

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Permissible Stress using Factor of Safety Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = \frac{49MPa}{4}

Next Step Convert Units

∴

P = \frac{4.9E+7Pa}{4}

Next Step Prepare to Evaluate

∴

P = \frac{4.9E+7}{4}

Next Step Evaluate

∴

P = 12250000Pa

LAST Step Convert to Output's Unit

∴

P = 12.25MPa

Permissible Stress using Factor of Safety Formula Elements

Variables

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

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

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

Other formulas in Stress category

Go Normal Stress given Modulus of Elasticity

σ n = ε component \cdot E

Go Shear Stress given Shear Strain

𝜏 = (G \cdot 𝜂)

Go Ultimate Stress using Factor of Safety

U = F.O.S \cdot P

Go Compressive Stress given Compressive Strain

σ c = (E \cdot ε compressive)

How to Evaluate Permissible Stress using Factor of Safety?

Permissible Stress using Factor of Safety evaluator uses Permissible Stress = Ultimate Stress/Factor of Safety to evaluate the Permissible Stress, Permissible Stress using Factor of Safety then it is defined as the ratio of ultimate stress to the factor of safety. Permissible Stress is denoted by P symbol.

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

FAQs on Permissible Stress using Factor of Safety

What is the formula to find Permissible Stress using Factor of Safety?

The formula of Permissible Stress using Factor of Safety is expressed as Permissible Stress = Ultimate Stress/Factor of Safety. Here is an example- 9.8E-6 = 49000000/4.

How to calculate Permissible Stress using Factor of Safety?

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

Can the Permissible Stress using Factor of Safety be negative?

Yes, the Permissible Stress using Factor of Safety, measured in Pressure can be negative.

Which unit is used to measure Permissible Stress using Factor of Safety?

Permissible Stress using Factor of Safety is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Permissible Stress using Factor of Safety can be measured.

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Permissible Stress using Factor of Safety Formula

Permissible Stress using Factor of Safety Example

Permissible Stress using Factor of Safety Solution

Permissible Stress using Factor of Safety Formula Elements

Other formulas in Stress category

How to Evaluate Permissible Stress using Factor of Safety?

FAQs on Permissible Stress using Factor of Safety

Variable Name