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Factor of Safety given Permissible Value of Maximum Shear Stress Formula

GoFactor of Safety given Permissible Value of Maximum Principle 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 = 0.5 \cdot \frac{τ max}{𝜏 max MSST}

fos_shaft - Factor of Safety of Shaft?τ_max - Yield Strength in Shaft from MSST?𝜏_{max MSST} - Maximum Shear Stress in Shaft from MSST?

Factor of Safety given Permissible Value of Maximum Shear Stress Example

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

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

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

1.8803 = 0.5 \cdot \frac{221.5}{58.9}

1.8803 = 0.5 \cdot \frac{221.5N/mm²}{58.9N/mm²}

1.8803 = 0.5 \cdot \frac{221.5}{58.9}

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Factor of Safety given Permissible Value of Maximum Shear Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

fos shaft = 0.5 \cdot \frac{221.5N/mm²}{58.9N/mm²}

Next Step Convert Units

∴

fos shaft = 0.5 \cdot \frac{2.2E+8Pa}{5.9E+7Pa}

Next Step Prepare to Evaluate

∴

fos shaft = 0.5 \cdot \frac{2.2E+8}{5.9E+7}

Next Step Evaluate

∴

fos shaft = 1.88030560271647

LAST Step Rounding Answer

∴

fos shaft = 1.8803

Factor of Safety given Permissible Value of Maximum Shear 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 MSST

Yield Strength in Shaft from MSST is the maximum stress a shaft can withstand without deforming plastically, calculated based on principal stress theory.

Symbol: τ_max

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Yield Strength in Shaft from MSST

Maximum Shear Stress in Shaft from MSST

Maximum Shear Stress in Shaft from MSST is the maximum shear stress developed in a shaft due to twisting or torsional loading, affecting its structural integrity.

Symbol: 𝜏_{max MSST}

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Maximum Shear Stress in Shaft from MSST

Other Formulas to find Factor of Safety of Shaft

Go Factor of Safety given Permissible Value of Maximum Principle Stress

fos shaft = \frac{F ce}{σ max}

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 Shear Stress?

Factor of Safety given Permissible Value of Maximum Shear Stress evaluator uses Factor of Safety of Shaft = 0.5*Yield Strength in Shaft from MSST/Maximum Shear Stress in Shaft from MSST to evaluate the Factor of Safety of Shaft, Factor of Safety given Permissible Value of Maximum Shear Stress formula is defined as a measure of the structural integrity of a material, providing a safety margin against failure by comparing the maximum permissible shear stress to the actual maximum shear stress. Factor of Safety of Shaft is denoted by fos_shaft symbol.

How to evaluate Factor of Safety given Permissible Value of Maximum Shear Stress using this online evaluator? To use this online evaluator for Factor of Safety given Permissible Value of Maximum Shear Stress, enter Yield Strength in Shaft from MSST (τ_max) & Maximum Shear Stress in Shaft from MSST (𝜏_{max MSST}) and hit the calculate button.

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

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

The formula of Factor of Safety given Permissible Value of Maximum Shear Stress is expressed as Factor of Safety of Shaft = 0.5*Yield Strength in Shaft from MSST/Maximum Shear Stress in Shaft from MSST. Here is an example- 1.88455 = 0.5*221500000/58900000.

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

With Yield Strength in Shaft from MSST (τ_max) & Maximum Shear Stress in Shaft from MSST (𝜏_{max MSST}) we can find Factor of Safety given Permissible Value of Maximum Shear Stress using the formula - Factor of Safety of Shaft = 0.5*Yield Strength in Shaft from MSST/Maximum Shear Stress in Shaft from MSST.

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=Yield Strength in Shaft from MPST/Maximum Principle Stress in Shaft

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Factor of Safety given Permissible Value of Maximum Shear Stress Formula

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

Factor of Safety given Permissible Value of Maximum Shear Stress Example

Factor of Safety given Permissible Value of Maximum Shear Stress Solution

Factor of Safety given Permissible Value of Maximum Shear 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 Shear Stress?

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

Variable Name

GoFactor of Safety given Permissible Value of Maximum Principle Stress Formula