Permissible Value of Maximum Principle Stress using Factor of Safety 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 MPST is the yield stress of the considered shaft from Maximum Principal Stress Theory.ⓘ Yield Strength in Shaft from MPST [F_ce]			+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 Principle Stress in Shaft is defined as the normal stress calculated in the shaft at an angle when shear stress is considered zero.ⓘ Permissible Value of Maximum Principle Stress using Factor of Safety [σ₁]

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Formula

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Permissible Value of Maximum Principle Stress using Factor of Safety

Formula

`"σ"_{"1"} = "F"_{"ce"}/"f"_{"s"}`

Example

`"135.6383N/mm²"="255N/mm²"/"1.88"`

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Permissible Value of Maximum Principle Stress using Factor of Safety Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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 MPST: 255 Newton per Square Millimeter --> 255000000 Pascal (Check conversion here)
Factor of Safety of Shaft: 1.88 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ₁ = F_ce/f_s --> 255000000/1.88

Evaluating ... ...

σ₁ = 135638297.87234

STEP 3: Convert Result to Output's Unit

135638297.87234 Pascal -->135.63829787234 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

135.63829787234 ≈ 135.6383 Newton per Square Millimeter <-- Maximum Principle Stress in Shaft

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Shafts » Maximum Shear Stress and Principal Stress Theory » Permissible Value of Maximum Principle Stress using Factor of Safety

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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 Principle Stress using Factor of Safety Formula

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

Define Maximum Principle Stress

It is defined as the normal stress calculated at an angle when shear stress is considered as zero. The maximum value of normal stress is known as major principal stress and minimum value of normal stress is known as minor principal stress.There are two types of principal stresses; 2-D and 3-D.

How to Calculate Permissible Value of Maximum Principle Stress using Factor of Safety?

Permissible Value of Maximum Principle Stress using Factor of Safety calculator uses Maximum Principle Stress in Shaft = Yield Strength in Shaft from MPST/Factor of Safety of Shaft to calculate the Maximum Principle Stress in Shaft, The Permissible Value of Maximum Principle Stress using Factor of Safety formula is defined as the maximum limit of the principle stress induced in the shaft. Maximum Principle Stress in Shaft is denoted by σ₁ symbol.

How to calculate Permissible Value of Maximum Principle Stress using Factor of Safety using this online calculator? To use this online calculator for Permissible Value of Maximum Principle Stress using Factor of Safety, enter Yield Strength in Shaft from MPST (F_ce) & Factor of Safety of Shaft (f_s) and hit the calculate button. Here is how the Permissible Value of Maximum Principle Stress using Factor of Safety calculation can be explained with given input values -> 0.000136 = 255000000/1.88.

FAQ

What is Permissible Value of Maximum Principle Stress using Factor of Safety?

The Permissible Value of Maximum Principle Stress using Factor of Safety formula is defined as the maximum limit of the principle stress induced in the shaft and is represented as σ₁ = F_ce/f_s or Maximum Principle Stress in Shaft = Yield Strength in Shaft from MPST/Factor of Safety of Shaft. Yield Strength in Shaft from MPST is the yield stress of the considered shaft from Maximum Principal 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 Principle Stress using Factor of Safety?

The Permissible Value of Maximum Principle Stress using Factor of Safety formula is defined as the maximum limit of the principle stress induced in the shaft is calculated using Maximum Principle Stress in Shaft = Yield Strength in Shaft from MPST/Factor of Safety of Shaft. To calculate Permissible Value of Maximum Principle Stress using Factor of Safety, you need Yield Strength in Shaft from MPST (F_ce) & Factor of Safety of Shaft (f_s). With our tool, you need to enter the respective value for Yield Strength in Shaft from MPST & 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 Principle Stress in Shaft?

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

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))

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