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## Credits

Osmania University (OU), Hyderabad
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## Diameter of Shaft When Torsional Shear Stress in a Shaft is Given(Pure Torsion) Solution

STEP 0: Pre-Calculation Summary
Formula Used
diameter_of_shaft = (16*Torsional Moment/pi*Torsional Shear Stress)^(1/3)
d = (16*(M t ) t/pi*𝜏)^(1/3)
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Torsional Moment - Torsional Moment is the torque applied to generate a torsion (twist) within the object. (Measured in Newton Meter)
Torsional Shear Stress - The Torsional shear stress or Torsional stress is the shear stress produced in the shaft due to the twisting. (Measured in Newton per Square Meter)
STEP 1: Convert Input(s) to Base Unit
Torsional Moment: 100 Newton Meter --> 100 Newton Meter No Conversion Required
Torsional Shear Stress: 50 Newton per Square Meter --> 50 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = (16*(M t ) t/pi*𝜏)^(1/3) --> (16*100/pi*50)^(1/3)
Evaluating ... ...
d = 29.4202734335627
STEP 3: Convert Result to Output's Unit
29.4202734335627 Meter -->2942.02734335627 Centimeter (Check conversion here)
FINAL ANSWER
2942.02734335627 Centimeter <-- Diameter of shaft
(Calculation completed in 00.009 seconds)

## < 10+ Desgin of Shafts Calculators

Diameter of Shaft When Torsional Shear Stress in a Shaft is Given(Pure Torsion)
diameter_of_shaft = (16*Torsional Moment/pi*Torsional Shear Stress)^(1/3) Go
Torsional Moment When Torsional Shear Stress in a Shaft is Given(Pure Torsion)
torsional_moment = Torsional Shear Stress*pi*(Diameter of shaft^3)/16 Go
Torsional Shear Stress in a Shaft(Pure Torsion)
torsional_shear_stress = 16*Torsional Moment/(pi*Diameter of shaft^3) Go
Diameter of the Shaft When Bending Stress is Given(Pure Bending)
diameter_of_shaft = (32*Bending moment/pi*Bending Stress)^(1/3) Go
Bending Moment When Bending Stress is Given(Pure Bending)
bending_moment = (Bending Stress*pi*Diameter of shaft^3)/32 Go
Bending Stress in the Shaft (Pure Bending Moment)
bending_stress = 32*Bending moment/pi*Diameter of shaft^3 Go
Tensile Stress in the Shaft When It is Subjected to Axial Tensile Force
tensile_stress = 4*Axial Force/pi*Diameter of shaft Go
Diameter of Shaft When Tensile Stress in the Shaft is Given
diameter_of_shaft = 4*Axial Force/pi*Tensile Stress Go
Axial Force When Tensile Stress in the Shaft is Given
axial_force = Tensile Stress*pi*Diameter of shaft/4 Go
Normal Stress When Both Bending and Torsional act on the Shaft
normal_stress = Bending Stress+Tensile Stress Go

### Diameter of Shaft When Torsional Shear Stress in a Shaft is Given(Pure Torsion) Formula

diameter_of_shaft = (16*Torsional Moment/pi*Torsional Shear Stress)^(1/3)
d = (16*(M t ) t/pi*𝜏)^(1/3)

## 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 Diameter of Shaft When Torsional Shear Stress in a Shaft is Given(Pure Torsion)?

Diameter of Shaft When Torsional Shear Stress in a Shaft is Given(Pure Torsion) calculator uses diameter_of_shaft = (16*Torsional Moment/pi*Torsional Shear Stress)^(1/3) to calculate the Diameter of shaft, The Diameter of Shaft When Torsional Shear Stress in a Shaft is Given(Pure Torsion) formula is defined as the diameter of the shaft on which we are applying torsional moment. Diameter of shaft and is denoted by d symbol.

How to calculate Diameter of Shaft When Torsional Shear Stress in a Shaft is Given(Pure Torsion) using this online calculator? To use this online calculator for Diameter of Shaft When Torsional Shear Stress in a Shaft is Given(Pure Torsion), enter Torsional Moment ((M t ) t) and Torsional Shear Stress (𝜏) and hit the calculate button. Here is how the Diameter of Shaft When Torsional Shear Stress in a Shaft is Given(Pure Torsion) calculation can be explained with given input values -> 2942.027 = (16*100/pi*50)^(1/3).

### FAQ

What is Diameter of Shaft When Torsional Shear Stress in a Shaft is Given(Pure Torsion)?
The Diameter of Shaft When Torsional Shear Stress in a Shaft is Given(Pure Torsion) formula is defined as the diameter of the shaft on which we are applying torsional moment and is represented as d = (16*(M t ) t/pi*𝜏)^(1/3) or diameter_of_shaft = (16*Torsional Moment/pi*Torsional Shear Stress)^(1/3). Torsional Moment is the torque applied to generate a torsion (twist) within the object and The Torsional shear stress or Torsional stress is the shear stress produced in the shaft due to the twisting.
How to calculate Diameter of Shaft When Torsional Shear Stress in a Shaft is Given(Pure Torsion)?
The Diameter of Shaft When Torsional Shear Stress in a Shaft is Given(Pure Torsion) formula is defined as the diameter of the shaft on which we are applying torsional moment is calculated using diameter_of_shaft = (16*Torsional Moment/pi*Torsional Shear Stress)^(1/3). To calculate Diameter of Shaft When Torsional Shear Stress in a Shaft is Given(Pure Torsion), you need Torsional Moment ((M t ) t) and Torsional Shear Stress (𝜏). With our tool, you need to enter the respective value for Torsional Moment and Torsional Shear Stress 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?
In this formula, Diameter of shaft uses Torsional Moment and Torsional Shear Stress. We can use 10 other way(s) to calculate the same, which is/are as follows -
• tensile_stress = 4*Axial Force/pi*Diameter of shaft
• diameter_of_shaft = 4*Axial Force/pi*Tensile Stress
• axial_force = Tensile Stress*pi*Diameter of shaft/4
• bending_stress = 32*Bending moment/pi*Diameter of shaft^3
• bending_moment = (Bending Stress*pi*Diameter of shaft^3)/32
• diameter_of_shaft = (32*Bending moment/pi*Bending Stress)^(1/3)
• torsional_shear_stress = 16*Torsional Moment/(pi*Diameter of shaft^3)
• torsional_moment = Torsional Shear Stress*pi*(Diameter of shaft^3)/16
• diameter_of_shaft = (16*Torsional Moment/pi*Torsional Shear Stress)^(1/3)
• normal_stress = Bending Stress+Tensile Stress
Where is the Diameter of Shaft When Torsional Shear Stress in a Shaft is Given(Pure Torsion) calculator used?
Among many, Diameter of Shaft When Torsional Shear Stress in a Shaft is Given(Pure Torsion) calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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