Permissible Value of Maximum Principle Stress Calculator

✖Diameter of Shaft from MPST is the diameter of a shaft calculated based on maximum shear stress theory, considering the principal stress theory's principles.ⓘ Diameter of Shaft from MPST [d_MPST]			+10% -10%
✖Bending Moment in Shaft is the maximum twisting force that causes shear stress in a shaft, leading to deformation and potential failure.ⓘ Bending Moment in Shaft [M_b]			+10% -10%
✖Torsional Moment in Shaft is the maximum twisting moment that a shaft can withstand without failing, related to maximum shear stress and principal stress theory.ⓘ Torsional Moment in Shaft [Mt_shaft]			+10% -10%

✖Maximum Principle Stress in Shaft is the maximum normal stress a shaft can withstand without yielding, calculated based on maximum shear stress theory.ⓘ Permissible Value of Maximum Principle Stress [σ_max]

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Permissible Value of Maximum Principle Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
σ_max = 16/(pi*d_MPST^3)*(M_b+sqrt(M_b^2+Mt_shaft^2))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Maximum Principle Stress in Shaft - (Measured in Pascal) - Maximum Principle Stress in Shaft is the maximum normal stress a shaft can withstand without yielding, calculated based on maximum shear stress theory.
Diameter of Shaft from MPST - (Measured in Meter) - Diameter of Shaft from MPST is the diameter of a shaft calculated based on maximum shear stress theory, considering the principal stress theory's principles.
Bending Moment in Shaft - (Measured in Newton Meter) - Bending Moment in Shaft is the maximum twisting force that causes shear stress in a shaft, leading to deformation and potential failure.
Torsional Moment in Shaft - (Measured in Newton Meter) - Torsional Moment in Shaft is the maximum twisting moment that a shaft can withstand without failing, related to maximum shear stress and principal stress theory.

STEP 1: Convert Input(s) to Base Unit

Diameter of Shaft from MPST: 51.5 Millimeter --> 0.0515 Meter (Check conversion here)
Bending Moment in Shaft: 1800000 Newton Millimeter --> 1800 Newton Meter (Check conversion here)
Torsional Moment in Shaft: 330000 Newton Millimeter --> 330 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_max = 16/(pi*d_MPST^3)*(M_b+sqrt(M_b^2+Mt_shaft^2)) --> 16/(pi*0.0515^3)*(1800+sqrt(1800^2+330^2))

Evaluating ... ...

σ_max = 135348998.895824

STEP 3: Convert Result to Output's Unit

135348998.895824 Pascal -->135.348998895824 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

135.348998895824 ≈ 135.349 Newton per Square Millimeter <-- Maximum Principle Stress in Shaft

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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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 Principle Stress Formula

LaTeX Go

Define Maximum Principle Stress?

Maximum principal stress is the highest value of normal stress experienced by a material at a specific point, acting along a particular direction where the shear stress is zero. This stress occurs on a plane oriented to maximize tensile or compressive forces and is critical for evaluating the risk of failure in materials. In engineering and materials science, identifying the maximum principal stress helps ensure that structures can withstand applied loads without yielding or fracturing. Understanding this stress is essential for safe design and analysis of structural components.

How to Calculate Permissible Value of Maximum Principle Stress?

Permissible Value of Maximum Principle Stress calculator uses 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)) to calculate the Maximum Principle Stress in Shaft, Permissible Value of Maximum Principle Stress formula is defined as a measure of the maximum stress a material can withstand without failing, considering the bending moment and torsional moment of a shaft, providing a critical value to ensure the structural integrity of a mechanical component. Maximum Principle Stress in Shaft is denoted by σ_max symbol.

How to calculate Permissible Value of Maximum Principle Stress using this online calculator? To use this online calculator for Permissible Value of Maximum Principle Stress, enter Diameter of Shaft from MPST (d_MPST), Bending Moment in Shaft (M_b) & Torsional Moment in Shaft (Mt_shaft) and hit the calculate button. Here is how the Permissible Value of Maximum Principle Stress calculation can be explained with given input values -> 0.000135 = 16/(pi*0.0515^3)*(1800+sqrt(1800^2+330^2)).

FAQ

What is Permissible Value of Maximum Principle Stress?

Permissible Value of Maximum Principle Stress formula is defined as a measure of the maximum stress a material can withstand without failing, considering the bending moment and torsional moment of a shaft, providing a critical value to ensure the structural integrity of a mechanical component and is represented as σ_max = 16/(pi*d_MPST^3)*(M_b+sqrt(M_b^2+Mt_shaft^2)) or 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 from MPST is the diameter of a shaft calculated based on maximum shear stress theory, considering the principal stress theory's principles, Bending Moment in Shaft is the maximum twisting force that causes shear stress in a shaft, leading to deformation and potential failure & Torsional Moment in Shaft is the maximum twisting moment that a shaft can withstand without failing, related to maximum shear stress and principal stress theory.

How to calculate Permissible Value of Maximum Principle Stress?

Permissible Value of Maximum Principle Stress formula is defined as a measure of the maximum stress a material can withstand without failing, considering the bending moment and torsional moment of a shaft, providing a critical value to ensure the structural integrity of a mechanical component is calculated using 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)). To calculate Permissible Value of Maximum Principle Stress, you need Diameter of Shaft from MPST (d_MPST), Bending Moment in Shaft (M_b) & Torsional Moment in Shaft (Mt_shaft). With our tool, you need to enter the respective value for Diameter of Shaft from MPST, Bending Moment in Shaft & Torsional Moment in 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 Diameter of Shaft from MPST, Bending Moment in Shaft & Torsional Moment in Shaft. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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