Factor of Safety given Permissible Value of Maximum Principle Stress Calculator

✖Yield Strength in Shaft from MPST is the maximum stress a shaft can withstand without permanent deformation based on principal stress theory.ⓘ Yield Strength in Shaft from MPST [F_ce]			+10% -10%
✖Maximum Principle Stress in Shaft is the maximum normal stress a shaft can withstand without yielding, calculated based on maximum shear stress theory.ⓘ Maximum Principle Stress in Shaft [σ_max]			+10% -10%

✖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.ⓘ Factor of Safety given Permissible Value of Maximum Principle Stress [fos_shaft]

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Factor of Safety given Permissible Value of Maximum Principle Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Factor of Safety of Shaft = Yield Strength in Shaft from MPST/Maximum Principle Stress in Shaft
fos_shaft = F_ce/σ_max
This formula uses 3 Variables

Variables Used

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.
Yield Strength in Shaft from MPST - (Measured in Pascal) - Yield Strength in Shaft from MPST is the maximum stress a shaft can withstand without permanent deformation based on principal stress theory.
Maximum Principle Stress in Shaft - (Measured in Pascal) - Maximum Principle Stress in Shaft is the maximum normal stress a shaft can withstand without yielding, calculated based on maximum shear stress theory.

STEP 1: Convert Input(s) to Base Unit

Yield Strength in Shaft from MPST: 254.364 Newton per Square Millimeter --> 254364000 Pascal (Check conversion here)
Maximum Principle Stress in Shaft: 135.3 Newton per Square Millimeter --> 135300000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

fos_shaft = F_ce/σ_max --> 254364000/135300000

Evaluating ... ...

fos_shaft = 1.88

STEP 3: Convert Result to Output's Unit

1.88 --> No Conversion Required

FINAL ANSWER

1.88 <-- Factor of Safety of Shaft

(Calculation completed in 00.006 seconds)

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Osmania University (OU), Hyderabad

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< Maximum Shear Stress and Principal Stress Theory Calculators

Diameter of Shaft given Permissible Value of Maximum Principle Stress

LaTeX Go Diameter of Shaft from MPST = (16/(pi*Maximum Principle Stress in Shaft)*(Bending Moment in Shaft+sqrt(Bending Moment in Shaft^2+Torsional Moment in Shaft^2)))^(1/3)

Permissible Value of Maximum Principle Stress

LaTeX Go 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))

Permissible Value of Maximum Principle Stress using Factor of Safety

LaTeX Go Maximum Principle Stress in Shaft = Yield Strength in Shaft from MPST/Factor of Safety of Shaft

Factor of Safety given Permissible Value of Maximum Principle Stress

LaTeX Go Factor of Safety of Shaft = Yield Strength in Shaft from MPST/Maximum Principle Stress in Shaft

Factor of Safety given Permissible Value of Maximum Principle Stress Formula

LaTeX Go

Factor of Safety of Shaft = Yield Strength in Shaft from MPST/Maximum Principle Stress in Shaft
fos_shaft = F_ce/σ_max

Define Maximum Principle Stress?

Maximum principal stress is the highest normal stress acting on a specific plane within a material, where shear stress is zero. It represents the greatest tensile or compressive stress experienced at a point under complex loading conditions. This stress is critical in evaluating the material's potential for failure, as it helps identify areas where the material is most likely to fracture or deform. Maximum principal stress is used in design and analysis to ensure structural integrity and safety.

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

Factor of Safety given Permissible Value of Maximum Principle Stress calculator uses Factor of Safety of Shaft = Yield Strength in Shaft from MPST/Maximum Principle Stress in Shaft to calculate 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 calculate Factor of Safety given Permissible Value of Maximum Principle Stress using this online calculator? To use this online calculator 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. Here is how the Factor of Safety given Permissible Value of Maximum Principle Stress calculation can be explained with given input values -> 1.884701 = 254364000/135300000.

FAQ

What is Factor of Safety given Permissible Value of Maximum Principle Stress?

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 and is represented as fos_shaft = F_ce/σ_max or Factor of Safety of Shaft = Yield Strength in Shaft from MPST/Maximum Principle Stress in Shaft. Yield Strength in Shaft from MPST is the maximum stress a shaft can withstand without permanent deformation based on principal stress theory & Maximum Principle Stress in Shaft is the maximum normal stress a shaft can withstand without yielding, calculated based on maximum shear stress theory.

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

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 is calculated using Factor of Safety of Shaft = Yield Strength in Shaft from MPST/Maximum Principle Stress in Shaft. To calculate Factor of Safety given Permissible Value of Maximum Principle Stress, you need Yield Strength in Shaft from MPST (F_ce) & Maximum Principle Stress in Shaft (σ_max). With our tool, you need to enter the respective value for Yield Strength in Shaft from MPST & Maximum Principle Stress in Shaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Factor of Safety of Shaft?

In this formula, Factor of Safety of Shaft uses Yield Strength in Shaft from MPST & Maximum Principle Stress in Shaft. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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