Diameter of Shaft given 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%
✖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%

✖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 given Torsional Shear Stress in Shaft Pure Torsion [d]

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Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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

Torsional Moment in Shaft: 329966.2 Newton Millimeter --> 329.9662 Newton Meter (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

d = (16*Mt_shaft/(pi*𝜏))^(1/3) --> (16*329.9662/(pi*16290000))^(1/3)

Evaluating ... ...

d = 0.0468999983018174

STEP 3: Convert Result to Output's Unit

0.0468999983018174 Meter -->46.8999983018174 Millimeter (Check conversion here)

FINAL ANSWER

46.8999983018174 ≈ 46.9 Millimeter <-- Diameter of Shaft on Strength Basis

(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad

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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

Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion Formula

LaTeX Go

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

Define Torsion?

Torsion is the twisting of an object due to an applied torque or rotational force around its axis. When a torque is applied to a shaft or any structural member, it creates shear stress across the cross-section, causing the material to twist along its length. The degree of twisting depends on the magnitude of the applied torque, the material's properties, and the geometry of the object. Torsion is a critical factor in the design of mechanical components like shafts and axles, where rotational power transmission is essential.

How to Calculate Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion?

Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion calculator uses Diameter of Shaft on Strength Basis = (16*Torsional Moment in Shaft/(pi*Torsional Shear Stress in Shaft))^(1/3) to calculate the Diameter of Shaft on Strength Basis, Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion formula is defined as the diameter of a shaft that can withstand a given torsional shear stress in a shaft under pure torsion, providing a critical design parameter for shaft design on strength basis in mechanical engineering applications. Diameter of Shaft on Strength Basis is denoted by d symbol.

How to calculate Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion using this online calculator? To use this online calculator for Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion, enter Torsional Moment in Shaft (Mt_shaft) & Torsional Shear Stress in Shaft (𝜏) and hit the calculate button. Here is how the Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion calculation can be explained with given input values -> 46901.6 = (16*329.9662/(pi*16290000))^(1/3).

FAQ

What is Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion?

Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion formula is defined as the diameter of a shaft that can withstand a given torsional shear stress in a shaft under pure torsion, providing a critical design parameter for shaft design on strength basis in mechanical engineering applications and is represented as d = (16*Mt_shaft/(pi*𝜏))^(1/3) or Diameter of Shaft on Strength Basis = (16*Torsional Moment in Shaft/(pi*Torsional Shear Stress in Shaft))^(1/3). Torsional Moment in Shaft is the twisting force that causes rotation in a shaft, affecting its strength and stability in shaft design & 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 Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion?

Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion formula is defined as the diameter of a shaft that can withstand a given torsional shear stress in a shaft under pure torsion, providing a critical design parameter for shaft design on strength basis in mechanical engineering applications is calculated using Diameter of Shaft on Strength Basis = (16*Torsional Moment in Shaft/(pi*Torsional Shear Stress in Shaft))^(1/3). To calculate Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion, you need Torsional Moment in Shaft (Mt_shaft) & Torsional Shear Stress in Shaft (𝜏). With our tool, you need to enter the respective value for Torsional Moment 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.

How many ways are there to calculate Diameter of Shaft on Strength Basis?

In this formula, Diameter of Shaft on Strength Basis uses Torsional Moment in Shaft & Torsional Shear Stress in Shaft. We can use 2 other way(s) to calculate the same, which is/are as follows -

Diameter of Shaft on Strength Basis = sqrt(4*Axial Force on Shaft/(pi*Tensile Stress in Shaft))
Diameter of Shaft on Strength Basis = ((32*Bending Moment in Shaft)/(pi*Bending Stress in Shaft))^(1/3)

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