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 reaction induced in a structural shaft element when an external force or moment is applied to the element, causing the element to twist.
Torsional Shear Stress in Shaft - (Measured in Pascal) - Torsional Shear Stress in Shaft is the shear stress produced in the shaft due to the twisting.
Diameter of Shaft on Strength Basis - (Measured in Meter) - Diameter of Shaft on Strength Basis is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.
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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16 Shaft Design on Strength Basis Calculators

Diameter of Shaft given Tensile Stress in Shaft
Go Diameter of Shaft on Strength Basis = sqrt(4*Axial Force on Shaft/(pi*Tensile Stress in Shaft))
Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion
Go Diameter of Shaft on Strength Basis = (16*Torsional Moment in Shaft/(pi*Torsional Shear Stress in Shaft))^(1/3)
Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion
Go Torsional Moment in Shaft = Torsional Shear Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^3)/16
Torsional Shear Stress in Shaft Pure Torsion
Go Torsional Shear Stress in Shaft = 16*Torsional Moment in Shaft/(pi*Diameter of Shaft on Strength Basis^3)
Diameter of Shaft given Bending Stress Pure Bending
Go Diameter of Shaft on Strength Basis = ((32*Bending Moment in Shaft)/(pi*Bending Stress in Shaft))^(1/3)
Torsional Shear Stress given Principal Shear Stress in Shaft
Go Torsional Shear Stress in Shaft = sqrt(Principal Shear Stress in Shaft^2-(Normal Stress in Shaft/2)^2)
Normal Stress given Principal Shear Stress in Shaft Bending and Torsion
Go Normal Stress in Shaft = 2*sqrt(Principal Shear Stress in Shaft^2-Torsional Shear Stress in Shaft^2)
Maximum Shear Stress in Shaft Bending and Torsion
Go Maximum Shear Stress in Shaft = sqrt((Normal Stress in Shaft/2)^2+Torsional Shear Stress in Shaft^2)
Bending Stress in Shaft Pure Bending Moment
Go Bending Stress in Shaft = (32*Bending Moment in Shaft)/(pi*Diameter of Shaft on Strength Basis^3)
Bending Moment given Bending Stress Pure Bending
Go Bending Moment in Shaft = (Bending Stress in Shaft*pi*Diameter of Shaft on Strength Basis^3)/32
Tensile Stress in Shaft when it is Subjected to Axial Tensile Force
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
Go Axial Force on Shaft = Tensile Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^2)/4
Power transmitted by Shaft
Go Power Transmitted by Shaft = 2*pi*Speed of Shaft*Torque transmitted by Shaft
Normal Stress given Both Bending and Torsional act on Shaft
Go Normal Stress in Shaft = Bending Stress in Shaft+Tensile Stress in Shaft
Tensile Stress given Normal Stress
Go Tensile Stress in Shaft = Normal Stress in Shaft-Bending Stress in Shaft
Bending Stress given Normal Stress
Go Bending Stress in Shaft = Normal Stress in Shaft-Tensile Stress in Shaft

Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion Formula

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 Torsion

the twisting or wrenching of a body by the exertion of forces tending to turn one end or part about a longitudinal axis while the other is held fast or turned in the opposite direction

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, The Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion formula is defined as the moment of a pair of equal and opposite couples which tend to twist a body. 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?
The Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion formula is defined as the moment of a pair of equal and opposite couples which tend to twist a body 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 shear stress produced in the shaft due to the twisting & Diameter of Shaft on Strength Basis is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.
How to calculate Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion?
The Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion formula is defined as the moment of a pair of equal and opposite couples which tend to twist a body 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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