Maximum Shear Stress in Shaft Bending and Torsion Calculator

✖Normal Stress in Shaft is the force per unit area that a shaft can withstand without undergoing deformation or failure during its operation.ⓘ Normal Stress in Shaft [σ_x]			+10% -10%
✖Torsional Shear Stress in Shaft is the stress developed in a shaft due to twisting or rotational force, affecting its strength and structural integrity.ⓘ Torsional Shear Stress in Shaft [𝜏]			+10% -10%

✖Maximum Shear Stress in Shaft is the highest stress that a shaft can withstand without failing, critical in shaft design to ensure strength and durability.ⓘ Maximum Shear Stress in Shaft Bending and Torsion [τ_smax]

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Maximum Shear Stress in Shaft Bending and Torsion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Shear Stress in Shaft = sqrt((Normal Stress in Shaft/2)^2+Torsional Shear Stress in Shaft^2)
τ_smax = sqrt((σ_x/2)^2+𝜏^2)
This formula uses 1 Functions, 3 Variables

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 Shear Stress in Shaft - (Measured in Pascal) - Maximum Shear Stress in Shaft is the highest stress that a shaft can withstand without failing, critical in shaft design to ensure strength and durability.
Normal Stress in Shaft - (Measured in Pascal) - Normal Stress in Shaft is the force per unit area that a shaft can withstand without undergoing deformation or failure during its operation.
Torsional Shear Stress in Shaft - (Measured in Pascal) - Torsional Shear Stress in Shaft is the stress developed in a shaft due to twisting or rotational force, affecting its strength and structural integrity.

STEP 1: Convert Input(s) to Base Unit

Normal Stress in Shaft: 250.6 Newton per Square Millimeter --> 250600000 Pascal (Check conversion here)
Torsional Shear Stress in Shaft: 16.29 Newton per Square Millimeter --> 16290000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_smax = sqrt((σ_x/2)^2+𝜏^2) --> sqrt((250600000/2)^2+16290000^2)

Evaluating ... ...

τ_smax = 126354477.957847

STEP 3: Convert Result to Output's Unit

126354477.957847 Pascal -->126.354477957847 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

126.354477957847 ≈ 126.3545 Newton per Square Millimeter <-- Maximum Shear Stress in Shaft

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Shafts » Mechanical » Shaft Design on Strength Basis » Maximum Shear Stress in Shaft Bending and Torsion

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

Kumar Siddhant has verified this Calculator and 100+ more calculators!

< Shaft Design on Strength Basis Calculators

Diameter of Shaft given Tensile Stress in Shaft

LaTeX Go Diameter of Shaft on Strength Basis = sqrt(4*Axial Force on Shaft/(pi*Tensile Stress in Shaft))

Bending Stress in Shaft Pure Bending Moment

LaTeX Go Bending Stress in Shaft = (32*Bending Moment in Shaft)/(pi*Diameter of Shaft on Strength Basis^3)

Tensile Stress in Shaft when it is Subjected to Axial Tensile Force

LaTeX Go Tensile Stress in Shaft = 4*Axial Force on Shaft/(pi*Diameter of Shaft on Strength Basis^2)

Axial Force given Tensile Stress in Shaft

LaTeX Go Axial Force on Shaft = Tensile Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^2)/4

Maximum Shear Stress in Shaft Bending and Torsion Formula

LaTeX Go

Maximum Shear Stress in Shaft = sqrt((Normal Stress in Shaft/2)^2+Torsional Shear Stress in Shaft^2)
τ_smax = sqrt((σ_x/2)^2+𝜏^2)

Define Principal Shear Stress?

It is defined as the normal stress calculated at an angle when shear stress is considered as zero. The normal stress can be obtained for maximum and minimum values.

How to Calculate Maximum Shear Stress in Shaft Bending and Torsion?

Maximum Shear Stress in Shaft Bending and Torsion calculator uses Maximum Shear Stress in Shaft = sqrt((Normal Stress in Shaft/2)^2+Torsional Shear Stress in Shaft^2) to calculate the Maximum Shear Stress in Shaft, Maximum Shear Stress in Shaft Bending and Torsion formula is defined as a measure of the maximum shear stress that occurs in a shaft when it is subjected to both bending and torsional loads, providing a critical value for shaft design and analysis in mechanical engineering applications. Maximum Shear Stress in Shaft is denoted by τ_smax symbol.

How to calculate Maximum Shear Stress in Shaft Bending and Torsion using this online calculator? To use this online calculator for Maximum Shear Stress in Shaft Bending and Torsion, enter Normal Stress in Shaft (σ_x) & Torsional Shear Stress in Shaft (𝜏) and hit the calculate button. Here is how the Maximum Shear Stress in Shaft Bending and Torsion calculation can be explained with given input values -> 0.000126 = sqrt((250600000/2)^2+16290000^2).

FAQ

What is Maximum Shear Stress in Shaft Bending and Torsion?

Maximum Shear Stress in Shaft Bending and Torsion formula is defined as a measure of the maximum shear stress that occurs in a shaft when it is subjected to both bending and torsional loads, providing a critical value for shaft design and analysis in mechanical engineering applications and is represented as τ_smax = sqrt((σ_x/2)^2+𝜏^2) or Maximum Shear Stress in Shaft = sqrt((Normal Stress in Shaft/2)^2+Torsional Shear Stress in Shaft^2). Normal Stress in Shaft is the force per unit area that a shaft can withstand without undergoing deformation or failure during its operation & Torsional Shear Stress in Shaft is the stress developed in a shaft due to twisting or rotational force, affecting its strength and structural integrity.

How to calculate Maximum Shear Stress in Shaft Bending and Torsion?

Maximum Shear Stress in Shaft Bending and Torsion formula is defined as a measure of the maximum shear stress that occurs in a shaft when it is subjected to both bending and torsional loads, providing a critical value for shaft design and analysis in mechanical engineering applications is calculated using Maximum Shear Stress in Shaft = sqrt((Normal Stress in Shaft/2)^2+Torsional Shear Stress in Shaft^2). To calculate Maximum Shear Stress in Shaft Bending and Torsion, you need Normal Stress in Shaft (σ_x) & Torsional Shear Stress in Shaft (𝜏). With our tool, you need to enter the respective value for Normal Stress in Shaft & Torsional Shear 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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