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Factor of Safety given Ultimate Stress and Working Stress Formula

GoFactor of Safety for Tri-axial State of Stress Formula

GoFactor of Safety for Bi-Axial State of Stress Formula

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Factor of Safety is the ratio of maximum shear stress a material can withstand to the maximum shear stress it is subjected to. Check FAQs

fos = \frac{f s}{W s}

fos - Factor of Safety?f_s - Fracture Stress?W_s - Working Stress?

Factor of Safety given Ultimate Stress and Working Stress Example

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Here is how the Factor of Safety given Ultimate Stress and Working Stress equation looks like with Values.

Here is how the Factor of Safety given Ultimate Stress and Working Stress equation looks like with Units.

Here is how the Factor of Safety given Ultimate Stress and Working Stress equation looks like.

3 = \frac{57}{19}

3 = \frac{57N/mm²}{19N/mm²}

3 = \frac{57}{19}

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Factor of Safety given Ultimate Stress and Working Stress Solution

Follow our step by step solution on how to calculate Factor of Safety given Ultimate Stress and Working Stress?

FIRST Step Consider the formula

fos = \frac{f s}{W s}

Next Step Substitute values of Variables

∴

fos = \frac{57N/mm²}{19N/mm²}

Next Step Convert Units

∴

fos = \frac{5.7E+7Pa}{1.9E+7Pa}

Next Step Prepare to Evaluate

∴

fos = \frac{5.7E+7}{1.9E+7}

LAST Step Evaluate

∴

fos = 3

Factor of Safety given Ultimate Stress and Working Stress Formula Elements

Variables

Factor of Safety

Factor of Safety is the ratio of maximum shear stress a material can withstand to the maximum shear stress it is subjected to.

Symbol: fos

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety

Fracture Stress

Fracture Stress is the maximum stress a material can withstand without breaking, typically calculated using the maximum shear stress and principal stress theory.

Symbol: f_s

Measurement: PressureUnit: N/mm²

Note: Value can be positive or negative.

Formulas to find Fracture Stress

Working Stress

Working Stress is the maximum stress a material can withstand without failing, used in Principal Stress Theory to analyze material behavior under various loads.

Symbol: W_s

Measurement: PressureUnit: N/mm²

Note: Value can be positive or negative.

Formulas to find Working Stress

Other Formulas to find Factor of Safety

Go Factor of Safety for Tri-axial State of Stress

fos = \frac{σ yt}{\sqrt{\frac{1}{2} \cdot ({(σ 1 - σ 2)}^{2} + {(σ 2 - σ 3)}^{2} + {(σ 3 - σ 1)}^{2})}}

Go Factor of Safety for Bi-Axial State of Stress

fos = \frac{σ yt}{\sqrt{{σ 1}^{2} + {σ 2}^{2} - σ 1 \cdot σ 2}}

Other formulas in Maximum Shear Stress and Principal Stress Theory category

Go Permissible Value of Maximum Principle Stress

σ max = \frac{16}{π \cdot {d MPST}^{3}} \cdot (M b + \sqrt{{M b}^{2} + {Mt shaft}^{2}})

Go Diameter of Shaft given Permissible Value of Maximum Principle Stress

d MPST = {(\frac{16}{π \cdot σ max} \cdot (M b + \sqrt{{M b}^{2} + {Mt shaft}^{2}}))}^{\frac{1}{3}}

Go Permissible Value of Maximum Principle Stress using Factor of Safety

σ max = \frac{F ce}{fos shaft}

Go Factor of Safety given Permissible Value of Maximum Principle Stress

fos shaft = \frac{F ce}{σ max}

How to Evaluate Factor of Safety given Ultimate Stress and Working Stress?

Factor of Safety given Ultimate Stress and Working Stress evaluator uses Factor of Safety = Fracture Stress/Working Stress to evaluate the Factor of Safety, Factor of Safety given Ultimate Stress and Working Stress formula is defined as a measure of the ability of a material or structure to withstand loads or stresses without failing, providing a margin of safety against failure or collapse. Factor of Safety is denoted by fos symbol.

How to evaluate Factor of Safety given Ultimate Stress and Working Stress using this online evaluator? To use this online evaluator for Factor of Safety given Ultimate Stress and Working Stress, enter Fracture Stress (f_s) & Working Stress (W_s) and hit the calculate button.

FAQs on Factor of Safety given Ultimate Stress and Working Stress

What is the formula to find Factor of Safety given Ultimate Stress and Working Stress?

The formula of Factor of Safety given Ultimate Stress and Working Stress is expressed as Factor of Safety = Fracture Stress/Working Stress. Here is an example- 2.105263 = 57000000/19000000.

How to calculate Factor of Safety given Ultimate Stress and Working Stress?

With Fracture Stress (f_s) & Working Stress (W_s) we can find Factor of Safety given Ultimate Stress and Working Stress using the formula - Factor of Safety = Fracture Stress/Working Stress.

What are the other ways to Calculate Factor of Safety?

Here are the different ways to Calculate Factor of Safety-

Factor of Safety=Tensile Yield Strength/sqrt(1/2*((Normal Stress 1-Normal Stress 2)^2+(Normal Stress 2-Normal Stress 3)^2+(Normal Stress 3-Normal Stress 1)^2))
Factor of Safety=Tensile Yield Strength/(sqrt(Normal Stress 1^2+Normal Stress 2^2-Normal Stress 1*Normal Stress 2))

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