Factor of Safety given Permissible Value of Maximum Shear Stress Calculator

✖Yield Strength in Shaft from MSST is the maximum stress a shaft can withstand without deforming plastically, calculated based on principal stress theory.ⓘ Yield Strength in Shaft from MSST [τ_max]			+10% -10%
✖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.ⓘ Maximum Shear Stress in Shaft from MSST [𝜏_{max MSST}]			+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 Shear Stress [fos_shaft]

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Factor of Safety given Permissible Value of Maximum Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Factor of Safety of Shaft = 0.5*Yield Strength in Shaft from MSST/Maximum Shear Stress in Shaft from MSST
fos_shaft = 0.5*τ_max/𝜏_{max MSST}
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 MSST - (Measured in Pascal) - Yield Strength in Shaft from MSST is the maximum stress a shaft can withstand without deforming plastically, calculated based on principal stress theory.
Maximum Shear Stress in Shaft from MSST - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Yield Strength in Shaft from MSST: 221.5 Newton per Square Millimeter --> 221500000 Pascal (Check conversion here)
Maximum Shear Stress in Shaft from MSST: 58.9 Newton per Square Millimeter --> 58900000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

fos_shaft = 0.5*τ_max/𝜏_{max MSST} --> 0.5*221500000/58900000

Evaluating ... ...

fos_shaft = 1.88030560271647

STEP 3: Convert Result to Output's Unit

1.88030560271647 --> No Conversion Required

FINAL ANSWER

1.88030560271647 ≈ 1.880306 <-- Factor of Safety of Shaft

(Calculation completed in 00.004 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 Shear Stress Formula

LaTeX Go

Factor of Safety of Shaft = 0.5*Yield Strength in Shaft from MSST/Maximum Shear Stress in Shaft from MSST
fos_shaft = 0.5*τ_max/𝜏_{max MSST}

Define Shear Stress?

Shear stress is a type of stress that occurs when a force is applied parallel or tangential to a surface, causing layers of material to slide relative to each other. It is the force per unit area acting along the plane of the material, as opposed to normal stress, which acts perpendicular to the surface. Shear stress is commonly encountered in structures and materials subjected to torsion, bending, or shear forces. It plays a key role in determining how materials respond to external forces, particularly in terms of deformation and potential failure.

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

Factor of Safety given Permissible Value of Maximum Shear Stress calculator uses Factor of Safety of Shaft = 0.5*Yield Strength in Shaft from MSST/Maximum Shear Stress in Shaft from MSST to calculate 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 calculate Factor of Safety given Permissible Value of Maximum Shear Stress using this online calculator? To use this online calculator 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. Here is how the Factor of Safety given Permissible Value of Maximum Shear Stress calculation can be explained with given input values -> 1.88455 = 0.5*221500000/58900000.

FAQ

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

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 and is represented as fos_shaft = 0.5*τ_max/𝜏_{max MSST} or Factor of Safety of Shaft = 0.5*Yield Strength in Shaft from MSST/Maximum Shear Stress 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 & 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.

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

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 is calculated using Factor of Safety of Shaft = 0.5*Yield Strength in Shaft from MSST/Maximum Shear Stress in Shaft from MSST. To calculate Factor of Safety given Permissible Value of Maximum Shear Stress, you need Yield Strength in Shaft from MSST (τ_max) & Maximum Shear Stress in Shaft from MSST (𝜏_{max MSST}). With our tool, you need to enter the respective value for Yield Strength in Shaft from MSST & Maximum Shear Stress in Shaft from MSST 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 MSST & Maximum Shear Stress in Shaft from MSST. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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