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Factor of Safety given Permissible Value of Maximum Principle Stress Formula

GoFactor of Safety given Permissible Value of Maximum Shear Stress Formula

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

fos shaft = \frac{F ce}{σ max}

fos_shaft - Factor of Safety of Shaft?F_ce - Yield Strength in Shaft from MPST?σ_max - Maximum Principle Stress in Shaft?

Factor of Safety given Permissible Value of Maximum Principle Stress Example

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Here is how the Factor of Safety given Permissible Value of Maximum Principle Stress equation looks like with Values.

Here is how the Factor of Safety given Permissible Value of Maximum Principle Stress equation looks like with Units.

Here is how the Factor of Safety given Permissible Value of Maximum Principle Stress equation looks like.

1.88 = \frac{254.364}{135.3}

1.88 = \frac{254.364N/mm²}{135.3N/mm²}

1.88 = \frac{254.364}{135.3}

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Factor of Safety given Permissible Value of Maximum Principle Stress Solution

Follow our step by step solution on how to calculate Factor of Safety given Permissible Value of Maximum Principle Stress?

FIRST Step Consider the formula

fos shaft = \frac{F ce}{σ max}

Next Step Substitute values of Variables

∴

fos shaft = \frac{254.364N/mm²}{135.3N/mm²}

Next Step Convert Units

∴

fos shaft = \frac{2.5E+8Pa}{1.4E+8Pa}

Next Step Prepare to Evaluate

∴

fos shaft = \frac{2.5E+8}{1.4E+8}

LAST Step Evaluate

∴

fos shaft = 1.88

Factor of Safety given Permissible Value of Maximum Principle Stress Formula Elements

Variables

Factor of Safety of Shaft

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

Symbol: fos_shaft

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety of Shaft

Yield Strength in Shaft from MPST

Yield Strength in Shaft from MPST is the maximum stress a shaft can withstand without permanent deformation based on principal stress theory.

Symbol: F_ce

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Yield Strength in Shaft from MPST

Maximum Principle Stress in Shaft

Maximum Principle Stress in Shaft is the maximum normal stress a shaft can withstand without yielding, calculated based on maximum shear stress theory.

Symbol: σ_max

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Maximum Principle Stress in Shaft

Other Formulas to find Factor of Safety of Shaft

Go Factor of Safety given Permissible Value of Maximum Shear Stress

fos shaft = 0.5 \cdot \frac{τ max}{𝜏 max MSST}

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 Yield Stress in Shear given Permissible Value of Maximum Principle Stress

F ce = σ max \cdot fos shaft

How to Evaluate Factor of Safety given Permissible Value of Maximum Principle Stress?

Factor of Safety given Permissible Value of Maximum Principle Stress evaluator uses Factor of Safety of Shaft = Yield Strength in Shaft from MPST/Maximum Principle Stress in Shaft to evaluate the Factor of Safety of Shaft, Factor of Safety given Permissible Value of Maximum Principle Stress formula is defined as a measure of the ability of a material or structure to withstand loads without failing, providing a safety margin against failure under maximum principle stress conditions. Factor of Safety of Shaft is denoted by fos_shaft symbol.

How to evaluate Factor of Safety given Permissible Value of Maximum Principle Stress using this online evaluator? To use this online evaluator for Factor of Safety given Permissible Value of Maximum Principle Stress, enter Yield Strength in Shaft from MPST (F_ce) & Maximum Principle Stress in Shaft (σ_max) and hit the calculate button.

FAQs on Factor of Safety given Permissible Value of Maximum Principle Stress

What is the formula to find Factor of Safety given Permissible Value of Maximum Principle Stress?

The formula of Factor of Safety given Permissible Value of Maximum Principle Stress is expressed as Factor of Safety of Shaft = Yield Strength in Shaft from MPST/Maximum Principle Stress in Shaft. Here is an example- 1.884701 = 254364000/135300000.

How to calculate Factor of Safety given Permissible Value of Maximum Principle Stress?

With Yield Strength in Shaft from MPST (F_ce) & Maximum Principle Stress in Shaft (σ_max) we can find Factor of Safety given Permissible Value of Maximum Principle Stress using the formula - Factor of Safety of Shaft = Yield Strength in Shaft from MPST/Maximum Principle Stress in Shaft.

What are the other ways to Calculate Factor of Safety of Shaft?

Here are the different ways to Calculate Factor of Safety of Shaft-

Factor of Safety of Shaft=0.5*Yield Strength in Shaft from MSST/Maximum Shear Stress in Shaft from MSST

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Factor of Safety given Permissible Value of Maximum Principle Stress Formula

​GoFactor of Safety given Permissible Value of Maximum Shear Stress Formula

Factor of Safety given Permissible Value of Maximum Principle Stress Example

Factor of Safety given Permissible Value of Maximum Principle Stress Solution

Factor of Safety given Permissible Value of Maximum Principle Stress Formula Elements

Other Formulas to find Factor of Safety of Shaft

Other formulas in Maximum Shear Stress and Principal Stress Theory category

How to Evaluate Factor of Safety given Permissible Value of Maximum Principle Stress?

FAQs on Factor of Safety given Permissible Value of Maximum Principle Stress

Variable Name

GoFactor of Safety given Permissible Value of Maximum Shear Stress Formula