Yield Strength in Shear Maximum Shear Stress Theory 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

✖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 Principle Stress in Shaft is defined as the normal stress calculated in the shaft at an angle when shear stress is considered zero.ⓘ Maximum Principle Stress in Shaft [σ₁]			+10% -10%

✖Shear Yield Strength in Shaft from MSST is the strength of a shaft when the material or component fails in shear according to Maximum Shear Stress Theory.ⓘ Yield Strength in Shear Maximum Shear Stress Theory [S_sy]

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Formula

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Yield Strength in Shear Maximum Shear Stress Theory

Formula

`"S"_{"sy"} = 0.5*"f"_{"s"}*"σ"_{"1"}`

Example

`"127.182N/mm²"=0.5*"1.88"*"135.3N/mm²"`

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Yield Strength in Shear Maximum Shear Stress Theory Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Yield Strength in Shaft from MSST = 0.5*Factor of Safety of Shaft*Maximum Principle Stress in Shaft
S_sy = 0.5*f_s*σ₁
This formula uses 3 Variables

Variables Used

Shear Yield Strength in Shaft from MSST - (Measured in Pascal) - Shear Yield Strength in Shaft from MSST is the strength of a shaft when the material or component fails in shear according to 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.
Maximum Principle Stress in Shaft - (Measured in Pascal) - Maximum Principle Stress in Shaft is defined as the normal stress calculated in the shaft at an angle when shear stress is considered zero.

STEP 1: Convert Input(s) to Base Unit

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

S_sy = 0.5*f_s*σ₁ --> 0.5*1.88*135300000

Evaluating ... ...

S_sy = 127182000

STEP 3: Convert Result to Output's Unit

127182000 Pascal -->127.182 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

127.182 Newton per Square Millimeter <-- Shear Yield Strength 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

Yield Strength in Shear Maximum Shear Stress Theory Formula

Shear Yield Strength in Shaft from MSST = 0.5*Factor of Safety of Shaft*Maximum Principle Stress in Shaft
S_sy = 0.5*f_s*σ₁

Define Maximum Shear Stress Theory

The Maximum Shear Stress theory states that failure occurs when the maximum shear stress from a combination of principal stresses equals or exceeds the value obtained for the shear stress at yielding in the uniaxial tensile test.

How to Calculate Yield Strength in Shear Maximum Shear Stress Theory?

Yield Strength in Shear Maximum Shear Stress Theory calculator uses Shear Yield Strength in Shaft from MSST = 0.5*Factor of Safety of Shaft*Maximum Principle Stress in Shaft to calculate the Shear Yield Strength in Shaft from MSST, The Yield Strength in Shear maximum shear Stress theory formula is defined as the strength of a material or component against the type of yield or structural failure when the material or component fails in shear. Shear Yield Strength in Shaft from MSST is denoted by S_sy symbol.

How to calculate Yield Strength in Shear Maximum Shear Stress Theory using this online calculator? To use this online calculator for Yield Strength in Shear Maximum Shear Stress Theory, enter Factor of Safety of Shaft (f_s) & Maximum Principle Stress in Shaft (σ₁) and hit the calculate button. Here is how the Yield Strength in Shear Maximum Shear Stress Theory calculation can be explained with given input values -> 0.000127 = 0.5*1.88*135300000.

FAQ

What is Yield Strength in Shear Maximum Shear Stress Theory?

The Yield Strength in Shear maximum shear Stress theory formula is defined as the strength of a material or component against the type of yield or structural failure when the material or component fails in shear and is represented as S_sy = 0.5*f_s*σ₁ or Shear Yield Strength in Shaft from MSST = 0.5*Factor of Safety of Shaft*Maximum Principle Stress in Shaft. Factor of Safety of Shaft expresses how much stronger a shaft is than it needs to be for an intended load & Maximum Principle Stress in Shaft is defined as the normal stress calculated in the shaft at an angle when shear stress is considered zero.

How to calculate Yield Strength in Shear Maximum Shear Stress Theory?

The Yield Strength in Shear maximum shear Stress theory formula is defined as the strength of a material or component against the type of yield or structural failure when the material or component fails in shear is calculated using Shear Yield Strength in Shaft from MSST = 0.5*Factor of Safety of Shaft*Maximum Principle Stress in Shaft. To calculate Yield Strength in Shear Maximum Shear Stress Theory, you need Factor of Safety of Shaft (f_s) & Maximum Principle Stress in Shaft (σ₁). With our tool, you need to enter the respective value for Factor of Safety of Shaft & 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.

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