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%
✖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 of Shaft [fos_shaft]			+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.ⓘ Permissible Value of Maximum Shear Stress [𝜏_{max MSST}]

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Permissible Value of Maximum Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Shear Stress in Shaft from MSST = 0.5*Yield Strength in Shaft from MSST/Factor of Safety of Shaft
𝜏_{max MSST} = 0.5*τ_max/fos_shaft
This formula uses 3 Variables

Variables Used

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.
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.
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.

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)
Factor of Safety of Shaft: 1.88 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏_{max MSST} = 0.5*τ_max/fos_shaft --> 0.5*221500000/1.88

Evaluating ... ...

𝜏_{max MSST} = 58909574.4680851

STEP 3: Convert Result to Output's Unit

58909574.4680851 Pascal -->58.9095744680851 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

58.9095744680851 ≈ 58.90957 Newton per Square Millimeter <-- Maximum Shear Stress in Shaft from MSST

(Calculation completed in 00.004 seconds)

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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

Permissible Value of Maximum Shear Stress Formula

LaTeX Go

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

Define Shear Stress?

Shear stress, often denoted by τ, is the component of stress coplanar with a material cross section. It arises from the shear force, the component of force vector parallel to the material cross section. Normal stress, on the other hand, arises from the force vector component perpendicular to the material cross section on which it acts.

How to Calculate Permissible Value of Maximum Shear Stress?

Permissible Value of Maximum Shear Stress calculator uses Maximum Shear Stress in Shaft from MSST = 0.5*Yield Strength in Shaft from MSST/Factor of Safety of Shaft to calculate the Maximum Shear Stress in Shaft from MSST, Permissible Value of Maximum Shear Stress formula is defined as a measure of the maximum shear stress a material can withstand without failing, providing a critical value for material selection and design in mechanical engineering applications, particularly in relation to the Principal Stress Theory. Maximum Shear Stress in Shaft from MSST is denoted by 𝜏_{max MSST} symbol.

How to calculate Permissible Value of Maximum Shear Stress using this online calculator? To use this online calculator for Permissible Value of Maximum Shear Stress, enter Yield Strength in Shaft from MSST (τ_max) & Factor of Safety of Shaft (fos_shaft) and hit the calculate button. Here is how the Permissible Value of Maximum Shear Stress calculation can be explained with given input values -> 5.9E-5 = 0.5*221500000/1.88.

FAQ

What is Permissible Value of Maximum Shear Stress?

Permissible Value of Maximum Shear Stress formula is defined as a measure of the maximum shear stress a material can withstand without failing, providing a critical value for material selection and design in mechanical engineering applications, particularly in relation to the Principal Stress Theory and is represented as 𝜏_{max MSST} = 0.5*τ_max/fos_shaft or Maximum Shear Stress in Shaft from MSST = 0.5*Yield Strength in Shaft from MSST/Factor of Safety of Shaft. Yield Strength in Shaft from MSST is the maximum stress a shaft can withstand without deforming plastically, calculated based on principal stress theory & 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.

How to calculate Permissible Value of Maximum Shear Stress?

Permissible Value of Maximum Shear Stress formula is defined as a measure of the maximum shear stress a material can withstand without failing, providing a critical value for material selection and design in mechanical engineering applications, particularly in relation to the Principal Stress Theory is calculated using Maximum Shear Stress in Shaft from MSST = 0.5*Yield Strength in Shaft from MSST/Factor of Safety of Shaft. To calculate Permissible Value of Maximum Shear Stress, you need Yield Strength in Shaft from MSST (τ_max) & Factor of Safety of Shaft (fos_shaft). With our tool, you need to enter the respective value for Yield Strength in Shaft from MSST & Factor of Safety of 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 Maximum Shear Stress in Shaft from MSST?

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

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

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