Permissible Value of Maximum Shear Stress Calculator

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Maximum Shear Stress and Principal Stress Theory

ASME Code for Shaft Desgin

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Shaft Design on Strength Basis

Torsional Rigidity

✖Yield Strength in Shaft from MSST is the yield stress of the considered shaft from Maximum Shear Stress Theory.ⓘ Yield Strength in Shaft from MSST [σ_yt]			+10% -10%
✖Factor of Safety of Shaft expresses how much stronger a shaft is than it needs to be for an intended load.ⓘ Factor of Safety of Shaft [f_s]			+10% -10%

✖Maximum Shear Stress in Shaft from MSST is maximum shear stress in a shaft calculated using Maximum Shear Stress Theory.ⓘ Permissible Value of Maximum Shear Stress [𝜏_{max MSST}]

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Formula

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Permissible Value of Maximum Shear Stress

Formula

`"𝜏"_{"max MSST"} = 0.5*"σ"_{"yt"}/"f"_{"s"}`

Example

`"59.04255N/mm²"=0.5*"222N/mm²"/"1.88"`

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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*σ_yt/f_s
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 maximum shear stress in a shaft calculated using Maximum Shear Stress Theory.
Yield Strength in Shaft from MSST - (Measured in Pascal) - Yield Strength in Shaft from MSST is the yield stress of the considered shaft from Maximum Shear Stress Theory.
Factor of Safety of Shaft - Factor of Safety of Shaft expresses how much stronger a shaft is than it needs to be for an intended load.

STEP 1: Convert Input(s) to Base Unit

Yield Strength in Shaft from MSST: 222 Newton per Square Millimeter --> 222000000 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*σ_yt/f_s --> 0.5*222000000/1.88

Evaluating ... ...

𝜏_{max MSST} = 59042553.1914894

STEP 3: Convert Result to Output's Unit

59042553.1914894 Pascal -->59.0425531914894 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

59.0425531914894 ≈ 59.04255 Newton per Square Millimeter <-- Maximum Shear Stress in Shaft from MSST

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 17 Maximum Shear Stress and Principal Stress Theory Calculators

Factor of Safety for Tri-axial State of Stress

Go Factor of Safety = Tensile Yield Strength/sqrt(1/2*((Normal Stress 1-Normal Stress 2)^2+(Normal Stress 2-Normal Stress 3)^2+(Normal Stress 3-Normal Stress 1)^2))

Diameter of Shaft given Permissible Value of Maximum Principle Stress

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

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))

Diameter of Shaft given Principle Shear Stress Maximum Shear Stress Theory

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

Bending Moment given Maximum Shear Stress

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

Torsional Moment given Maximum Shear Stress

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

Maximum Shear Stress in Shafts

Go 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)

Factor of Safety for Bi-Axial State of Stress

Go Factor of Safety = Tensile Yield Strength/(sqrt(Normal Stress 1^2+Normal Stress 2^2-Normal Stress 1*Normal Stress 2))

Torsional Moment given Equivalent Bending Moment

Go Torsional Moment in Shaft for MSST = sqrt((Equivalent Bending Moment from MSST-Bending Moment in Shaft for MSST)^2-Bending Moment in Shaft for MSST^2)

Equivalent Bending Moment given Torsional Moment

Go Equivalent Bending Moment from MSST = Bending Moment in Shaft for MSST+sqrt(Bending Moment in Shaft for MSST^2+Torsional Moment in Shaft for MSST^2)

Factor of Safety given Permissible Value of Maximum Shear Stress

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

Yield Strength in Shear Maximum Shear Stress Theory

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

Permissible Value of Maximum Shear Stress

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

Yield Stress in Shear given Permissible Value of Maximum Principle Stress

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

Permissible Value of Maximum Principle Stress using Factor of Safety

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

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

Factor of Safety given Ultimate Stress and Working Stress

Go Factor of Safety = Fracture Stress/Working Stress

Permissible Value of Maximum Shear Stress Formula

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*σ_yt/f_s

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, The Permissible Value of Maximum Shear Stress formula is defined as the stresses that are located close to the blade surface in the region where viscous residual is calculated using k-ε approach. 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 (σ_yt) & Factor of Safety of Shaft (f_s) 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*222000000/1.88.

FAQ

What is Permissible Value of Maximum Shear Stress?

The Permissible Value of Maximum Shear Stress formula is defined as the stresses that are located close to the blade surface in the region where viscous residual is calculated using k-ε approach and is represented as 𝜏_{max MSST} = 0.5*σ_yt/f_s 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 yield stress of the considered shaft from Maximum Shear Stress Theory & Factor of Safety of Shaft expresses how much stronger a shaft is than it needs to be for an intended load.

How to calculate Permissible Value of Maximum Shear Stress?

The Permissible Value of Maximum Shear Stress formula is defined as the stresses that are located close to the blade surface in the region where viscous residual is calculated using k-ε approach 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 (σ_yt) & Factor of Safety of Shaft (f_s). 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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