Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Circular Shaft = ((16*Equivalent Torque)/(pi*(Maximum Shear Stress)))^(1/3)
Φ = ((16*Te)/(pi*(τmax)))^(1/3)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Diameter of Circular Shaft - (Measured in Meter) - Diameter of circular shaft is denoted by d.
Equivalent Torque - (Measured in Newton Meter) - Equivalent Torque is the torque which will produce the same maximum shear stress as produced by the bending moment and torque acting separately.
Maximum Shear Stress - (Measured in Pascal) - Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.
STEP 1: Convert Input(s) to Base Unit
Equivalent Torque: 32 Kilonewton Meter --> 32000 Newton Meter (Check conversion ​here)
Maximum Shear Stress: 42 Megapascal --> 42000000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Φ = ((16*Te)/(pi*(τmax)))^(1/3) --> ((16*32000)/(pi*(42000000)))^(1/3)
Evaluating ... ...
Φ = 0.157141272610147
STEP 3: Convert Result to Output's Unit
0.157141272610147 Meter -->157.141272610147 Millimeter (Check conversion ​here)
FINAL ANSWER
157.141272610147 157.1413 Millimeter <-- Diameter of Circular Shaft
(Calculation completed in 00.020 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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Equivalent Bending Moment and Torque Calculators

Diameter of Circular Shaft given Equivalent Bending Stress
​ LaTeX ​ Go Diameter of Circular Shaft = ((32*Equivalent Bending Moment)/(pi*(Bending Stress)))^(1/3)
Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress
​ LaTeX ​ Go Diameter of Circular Shaft = ((16*Equivalent Torque)/(pi*(Maximum Shear Stress)))^(1/3)
Bending Stress of Circular Shaft given Equivalent Bending Moment
​ LaTeX ​ Go Bending Stress = (32*Equivalent Bending Moment)/(pi*(Diameter of Circular Shaft^3))
Maximum Shear Stress due to Equivalent Torque
​ LaTeX ​ Go Maximum Shear Stress = (16*Equivalent Torque)/(pi*(Diameter of Circular Shaft^3))

Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress Formula

​LaTeX ​Go
Diameter of Circular Shaft = ((16*Equivalent Torque)/(pi*(Maximum Shear Stress)))^(1/3)
Φ = ((16*Te)/(pi*(τmax)))^(1/3)

What is Combined Bending and Torsion?

Combined bending , direct and torsional stresses in shafts are arised when such as in propeller shafts of ships where a shaft is subjected to direct thrust in addition to bending moment and torsion. In such cases the direct stresses due to bending moment and the axial thrust have to be combined into a single resultant.

How to Calculate Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress?

Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress calculator uses Diameter of Circular Shaft = ((16*Equivalent Torque)/(pi*(Maximum Shear Stress)))^(1/3) to calculate the Diameter of Circular Shaft, The Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress formula is defined as diameter of the shaft of the member attached to the system. Diameter of Circular Shaft is denoted by Φ symbol.

How to calculate Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress using this online calculator? To use this online calculator for Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress, enter Equivalent Torque (Te) & Maximum Shear Stress max) and hit the calculate button. Here is how the Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress calculation can be explained with given input values -> 0.157141 = ((16*32000)/(pi*(42000000)))^(1/3).

FAQ

What is Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress?
The Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress formula is defined as diameter of the shaft of the member attached to the system and is represented as Φ = ((16*Te)/(pi*(τmax)))^(1/3) or Diameter of Circular Shaft = ((16*Equivalent Torque)/(pi*(Maximum Shear Stress)))^(1/3). Equivalent Torque is the torque which will produce the same maximum shear stress as produced by the bending moment and torque acting separately & Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.
How to calculate Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress?
The Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress formula is defined as diameter of the shaft of the member attached to the system is calculated using Diameter of Circular Shaft = ((16*Equivalent Torque)/(pi*(Maximum Shear Stress)))^(1/3). To calculate Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress, you need Equivalent Torque (Te) & Maximum Shear Stress max). With our tool, you need to enter the respective value for Equivalent Torque & Maximum 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 Circular Shaft?
In this formula, Diameter of Circular Shaft uses Equivalent Torque & Maximum Shear Stress. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Circular Shaft = ((32*Equivalent Bending Moment)/(pi*(Bending Stress)))^(1/3)
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