Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion Solution

STEP 0: Pre-Calculation Summary
Formula Used
Torsional Moment in Shaft = Torsional Shear Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^3)/16
Mtshaft = 𝜏*pi*(d^3)/16
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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 Shear Stress in Shaft: 16.29 Newton per Square Millimeter --> 16290000 Pascal (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
Mtshaft = 𝜏*pi*(d^3)/16 --> 16290000*pi*(0.0469^3)/16
Evaluating ... ...
Mtshaft = 329.96623584283
STEP 3: Convert Result to Output's Unit
329.96623584283 Newton Meter -->329966.23584283 Newton Millimeter (Check conversion ​here)
FINAL ANSWER
329966.23584283 329966.2 Newton Millimeter <-- Torsional Moment in Shaft
(Calculation completed in 00.004 seconds)

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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 Moment given Torsional Shear Stress in Shaft Pure Torsion Formula

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

Define Torsional Shear Stress in Shaft?

Torsional shear stress in a shaft is the stress produced when a twisting force, or torque, is applied along its length. This stress acts parallel to the surface of the shaft, causing the material to experience internal shearing forces. The magnitude of torsional shear stress depends on the applied torque, the shaft's geometry, and the distance from the shaft's center to the outer surface. Proper management of torsional shear stress is crucial to prevent the shaft from twisting excessively or failing under load, ensuring its safe and efficient operation in mechanical systems.

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

Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion calculator uses Torsional Moment in Shaft = Torsional Shear Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^3)/16 to calculate the Torsional Moment in Shaft, Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion formula is defined as a measure of the twisting force that causes a shaft to rotate, which is essential in shaft design to ensure the shaft can withstand the stress and torque. Torsional Moment in Shaft is denoted by Mtshaft symbol.

How to calculate Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion using this online calculator? To use this online calculator for Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion, enter Torsional Shear Stress in Shaft (𝜏) & Diameter of Shaft on Strength Basis (d) and hit the calculate button. Here is how the Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion calculation can be explained with given input values -> 3.3E+8 = 16290000*pi*(0.0469^3)/16.

FAQ

What is Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion?
Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion formula is defined as a measure of the twisting force that causes a shaft to rotate, which is essential in shaft design to ensure the shaft can withstand the stress and torque and is represented as Mtshaft = 𝜏*pi*(d^3)/16 or Torsional Moment in Shaft = Torsional Shear Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^3)/16. Torsional Shear Stress in Shaft is the stress developed in a shaft due to twisting or rotational force, affecting its strength and structural integrity & 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 Moment given Torsional Shear Stress in Shaft Pure Torsion?
Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion formula is defined as a measure of the twisting force that causes a shaft to rotate, which is essential in shaft design to ensure the shaft can withstand the stress and torque is calculated using Torsional Moment in Shaft = Torsional Shear Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^3)/16. To calculate Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion, you need Torsional Shear Stress in Shaft (𝜏) & Diameter of Shaft on Strength Basis (d). With our tool, you need to enter the respective value for Torsional Shear Stress 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.
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