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Permissible Value of Maximum Principle Stress using Factor of Safety Formula

GoPermissible Value of Maximum Principle Stress Formula

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

σ max = \frac{F ce}{fos shaft}

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

Permissible Value of Maximum Principle Stress using Factor of Safety Example

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

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

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

135.3 = \frac{254.364}{1.88}

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

135.3 = \frac{254.364}{1.88}

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Permissible Value of Maximum Principle Stress using Factor of Safety Solution

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

FIRST Step Consider the formula

σ max = \frac{F ce}{fos shaft}

Next Step Substitute values of Variables

∴

σ max = \frac{254.364N/mm²}{1.88}

Next Step Convert Units

∴

σ max = \frac{2.5E+8Pa}{1.88}

Next Step Prepare to Evaluate

∴

σ max = \frac{2.5E+8}{1.88}

Next Step Evaluate

∴

σ max = 135300000Pa

LAST Step Convert to Output's Unit

∴

σ max = 135.3N/mm²

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

Variables

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

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

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

Other Formulas to find Maximum Principle Stress in Shaft

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}})

Other formulas in Maximum Shear Stress and Principal Stress Theory category

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 Factor of Safety given Permissible Value of Maximum Principle Stress

fos shaft = \frac{F ce}{σ max}

Go Yield Stress in Shear given Permissible Value of Maximum Principle Stress

F ce = σ max \cdot fos shaft

Go Maximum Shear Stress in Shafts

𝜏 max MSST = \frac{16}{π \cdot {d MSST}^{3}} \cdot \sqrt{{M b MSST}^{2} + {Mt t}^{2}}

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

Permissible Value of Maximum Principle Stress using Factor of Safety evaluator uses Maximum Principle Stress in Shaft = Yield Strength in Shaft from MPST/Factor of Safety of Shaft to evaluate the Maximum Principle Stress in Shaft, Permissible Value of Maximum Principle Stress using Factor of Safety formula is defined as the maximum stress a material can withstand without failing, calculated by considering the factor of safety to ensure the structural integrity of a component or machine. Maximum Principle Stress in Shaft is denoted by σ_max symbol.

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

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

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

The formula of Permissible Value of Maximum Principle Stress using Factor of Safety is expressed as Maximum Principle Stress in Shaft = Yield Strength in Shaft from MPST/Factor of Safety of Shaft. Here is an example- 0.000136 = 254364000/1.88.

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

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

What are the other ways to Calculate Maximum Principle Stress in Shaft?

Here are the different ways to Calculate Maximum Principle Stress in Shaft-

Maximum Principle Stress in Shaft=16/(pi*Diameter of Shaft from MPST^3)*(Bending Moment in Shaft+sqrt(Bending Moment in Shaft^2+Torsional Moment in Shaft^2))

Can the Permissible Value of Maximum Principle Stress using Factor of Safety be negative?

No, the Permissible Value of Maximum Principle Stress using Factor of Safety, measured in Stress cannot be negative.

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

Permissible Value of Maximum Principle Stress using Factor of Safety is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Permissible Value of Maximum Principle Stress using Factor of Safety can be measured.

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Permissible Value of Maximum Principle Stress using Factor of Safety Formula

​GoPermissible Value of Maximum Principle Stress Formula

Permissible Value of Maximum Principle Stress using Factor of Safety Example

Permissible Value of Maximum Principle Stress using Factor of Safety Solution

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

Other Formulas to find Maximum Principle Stress in Shaft

Other formulas in Maximum Shear Stress and Principal Stress Theory category

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

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

Variable Name

GoPermissible Value of Maximum Principle Stress Formula