Yield Stress in Shear given Permissible Value of Maximum Principle Stress Calculator

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Maximum Shear Stress and Principal Stress Theory

ASME Code for Shaft Desgin

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Torsional Rigidity

✖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%
✖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%

✖Yield Strength in Shaft from MPST is the yield stress of the considered shaft from Maximum Principal Stress Theory.ⓘ Yield Stress in Shear given Permissible Value of Maximum Principle Stress [F_ce]

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Formula

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Yield Stress in Shear given Permissible Value of Maximum Principle Stress

Formula

`"F"_{"ce"} = "σ"_{"1"}*"f"_{"s"}`

Example

`"254.364N/mm²"="135.3N/mm²"*"1.88"`

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Yield Stress in Shear given Permissible Value of Maximum Principle Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Yield Strength in Shaft from MPST = Maximum Principle Stress in Shaft*Factor of Safety of Shaft
F_ce = σ₁*f_s
This formula uses 3 Variables

Variables Used

Yield Strength in Shaft from MPST - (Measured in Pascal) - Yield Strength in Shaft from MPST is the yield stress of the considered shaft from Maximum Principal Stress Theory.
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.
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

Maximum Principle Stress in Shaft: 135.3 Newton per Square Millimeter --> 135300000 Pascal (Check conversion here)
Factor of Safety of Shaft: 1.88 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_ce = σ₁*f_s --> 135300000*1.88

Evaluating ... ...

F_ce = 254364000

STEP 3: Convert Result to Output's Unit

254364000 Pascal -->254.364 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

254.364 Newton per Square Millimeter <-- Yield Strength in Shaft from MPST

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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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 Stress in Shear given Permissible Value of Maximum Principle Stress Formula

Yield Strength in Shaft from MPST = Maximum Principle Stress in Shaft*Factor of Safety of Shaft
F_ce = σ₁*f_s

Define Yield Stress

The yield point is the point on a stress-strain curve that indicates the limit of elastic behavior and the beginning of plastic behavior. Below the yield point, a material will deform elastically and will return to its original shape when the applied stress is removed. Once the yield point is passed, some fraction of the deformation will be permanent and non-reversible and is known as plastic deformation.

How to Calculate Yield Stress in Shear given Permissible Value of Maximum Principle Stress?

Yield Stress in Shear given Permissible Value of Maximum Principle Stress calculator uses Yield Strength in Shaft from MPST = Maximum Principle Stress in Shaft*Factor of Safety of Shaft to calculate the Yield Strength in Shaft from MPST, The Yield Stress in Shear given Permissible Value of Maximum Principle Stress formula is defined as the point on a stress-strain curve that indicates the limit of elastic behavior and the beginning of plastic behavior. Yield Strength in Shaft from MPST is denoted by F_ce symbol.

How to calculate Yield Stress in Shear given Permissible Value of Maximum Principle Stress using this online calculator? To use this online calculator for Yield Stress in Shear given Permissible Value of Maximum Principle Stress, enter Maximum Principle Stress in Shaft (σ₁) & Factor of Safety of Shaft (f_s) and hit the calculate button. Here is how the Yield Stress in Shear given Permissible Value of Maximum Principle Stress calculation can be explained with given input values -> 0.000254 = 135300000*1.88.

FAQ

What is Yield Stress in Shear given Permissible Value of Maximum Principle Stress?

The Yield Stress in Shear given Permissible Value of Maximum Principle Stress formula is defined as the point on a stress-strain curve that indicates the limit of elastic behavior and the beginning of plastic behavior and is represented as F_ce = σ₁*f_s or Yield Strength in Shaft from MPST = Maximum Principle Stress in Shaft*Factor of Safety of Shaft. Maximum Principle Stress in Shaft is defined as the normal stress calculated in the shaft at an angle when shear stress is considered zero & Factor of Safety of Shaft expresses how much stronger a shaft is than it needs to be for an intended load.

How to calculate Yield Stress in Shear given Permissible Value of Maximum Principle Stress?

The Yield Stress in Shear given Permissible Value of Maximum Principle Stress formula is defined as the point on a stress-strain curve that indicates the limit of elastic behavior and the beginning of plastic behavior is calculated using Yield Strength in Shaft from MPST = Maximum Principle Stress in Shaft*Factor of Safety of Shaft. To calculate Yield Stress in Shear given Permissible Value of Maximum Principle Stress, you need Maximum Principle Stress in Shaft (σ₁) & Factor of Safety of Shaft (f_s). With our tool, you need to enter the respective value for Maximum Principle Stress in Shaft & 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.

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