Torsional Shear Stress in Shaft Pure Torsion Calculator

✖Torsional Moment in Shaft is the twisting force that causes rotation in a shaft, affecting its strength and stability in shaft design.ⓘ Torsional Moment in Shaft [Mt_shaft]			+10% -10%
✖Diameter of Shaft on Strength Basis is the diameter of a shaft calculated based on the strength requirements of the shaft design.ⓘ Diameter of Shaft on Strength Basis [d]			+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 Pure Torsion [𝜏]

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Torsional Shear Stress in Shaft Pure Torsion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torsional Shear Stress in Shaft = 16*Torsional Moment in Shaft/(pi*Diameter of Shaft on Strength Basis^3)
𝜏 = 16*Mt_shaft/(pi*d^3)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Torsional Moment in Shaft - (Measured in Newton Meter) - Torsional Moment in Shaft is the twisting force that causes rotation in a shaft, affecting its strength and stability in shaft design.
Diameter of Shaft on Strength Basis - (Measured in Meter) - Diameter of Shaft on Strength Basis is the diameter of a shaft calculated based on the strength requirements of the shaft design.

STEP 1: Convert Input(s) to Base Unit

Torsional Moment in Shaft: 329966.2 Newton Millimeter --> 329.9662 Newton Meter (Check conversion here)
Diameter of Shaft on Strength Basis: 46.9 Millimeter --> 0.0469 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = 16*Mt_shaft/(pi*d^3) --> 16*329.9662/(pi*0.0469^3)

Evaluating ... ...

𝜏 = 16289998.2304865

STEP 3: Convert Result to Output's Unit

16289998.2304865 Pascal -->16.2899982304865 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

16.2899982304865 ≈ 16.29 Newton per Square Millimeter <-- Torsional Shear Stress in Shaft

(Calculation completed in 00.020 seconds)

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Home » Physics » Design of Automobile Elements » Design of Shafts » Mechanical » Shaft Design on Strength Basis » Torsional Shear Stress in Shaft Pure Torsion

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 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

Torsional Shear Stress in Shaft Pure Torsion Formula

LaTeX Go

Torsional Shear Stress in Shaft = 16*Torsional Moment in Shaft/(pi*Diameter of Shaft on Strength Basis^3)
𝜏 = 16*Mt_shaft/(pi*d^3)

Define Torsion?

Torsion is the twisting of an object due to an applied torque or rotational force. When a shaft or similar component is subjected to torsion, shear stress is induced across its cross-section, causing the material to twist along its length. This twisting effect is crucial in mechanical systems, as it allows for the transmission of rotational power, such as in shafts, axles, and other rotating components. Understanding torsion is essential for designing structures and machinery that can safely handle twisting forces without failure or excessive deformation.

How to Calculate Torsional Shear Stress in Shaft Pure Torsion?

Torsional Shear Stress in Shaft Pure Torsion calculator uses Torsional Shear Stress in Shaft = 16*Torsional Moment in Shaft/(pi*Diameter of Shaft on Strength Basis^3) to calculate the Torsional Shear Stress in Shaft, Torsional Shear Stress in Shaft Pure Torsion formula is defined as a measure of the shear stress developed in a shaft when it is subjected to a twisting moment, which is a critical parameter in shaft design to ensure its strength and stability under torsional loading conditions. Torsional Shear Stress in Shaft is denoted by 𝜏 symbol.

How to calculate Torsional Shear Stress in Shaft Pure Torsion using this online calculator? To use this online calculator for Torsional Shear Stress in Shaft Pure Torsion, enter Torsional Moment in Shaft (Mt_shaft) & Diameter of Shaft on Strength Basis (d) and hit the calculate button. Here is how the Torsional Shear Stress in Shaft Pure Torsion calculation can be explained with given input values -> 1.6E-5 = 16*329.9662/(pi*0.0469^3).

FAQ

What is Torsional Shear Stress in Shaft Pure Torsion?

Torsional Shear Stress in Shaft Pure Torsion formula is defined as a measure of the shear stress developed in a shaft when it is subjected to a twisting moment, which is a critical parameter in shaft design to ensure its strength and stability under torsional loading conditions and is represented as 𝜏 = 16*Mt_shaft/(pi*d^3) or Torsional Shear Stress in Shaft = 16*Torsional Moment in Shaft/(pi*Diameter of Shaft on Strength Basis^3). Torsional Moment in Shaft is the twisting force that causes rotation in a shaft, affecting its strength and stability in shaft design & Diameter of Shaft on Strength Basis is the diameter of a shaft calculated based on the strength requirements of the shaft design.

How to calculate Torsional Shear Stress in Shaft Pure Torsion?

Torsional Shear Stress in Shaft Pure Torsion formula is defined as a measure of the shear stress developed in a shaft when it is subjected to a twisting moment, which is a critical parameter in shaft design to ensure its strength and stability under torsional loading conditions is calculated using Torsional Shear Stress in Shaft = 16*Torsional Moment in Shaft/(pi*Diameter of Shaft on Strength Basis^3). To calculate Torsional Shear Stress in Shaft Pure Torsion, you need Torsional Moment in Shaft (Mt_shaft) & Diameter of Shaft on Strength Basis (d). With our tool, you need to enter the respective value for Torsional Moment in Shaft & Diameter of Shaft on Strength Basis 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 Torsional Shear Stress in Shaft?

In this formula, Torsional Shear Stress in Shaft uses Torsional Moment in Shaft & Diameter of Shaft on Strength Basis. We can use 1 other way(s) to calculate the same, which is/are as follows -

Torsional Shear Stress in Shaft = sqrt(Principal Shear Stress in Shaft^2-(Normal Stress in Shaft/2)^2)

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