Volume of Shaft given Total Strain Energy in Shaft due to Torsion Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Shaft = (Strain Energy in body*4*Modulus of rigidity of Shaft)/((Shear stress on surface of shaft^2))
V = (U*4*G)/((𝜏^2))
This formula uses 4 Variables
Variables Used
Volume of Shaft - (Measured in Cubic Meter) - The Volume of Shaft is the volume of cylindical component under torsion.
Strain Energy in body - (Measured in Joule) - Strain Energy in body is defined as the energy stored in a body due to deformation.
Modulus of rigidity of Shaft - (Measured in Pascal) - Modulus of rigidity of Shaft is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.
Shear stress on surface of shaft - (Measured in Pascal) - Shear stress on surface of shaft is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
STEP 1: Convert Input(s) to Base Unit
Strain Energy in body: 50 Kilojoule --> 50000 Joule (Check conversion ​here)
Modulus of rigidity of Shaft: 4E-05 Megapascal --> 40 Pascal (Check conversion ​here)
Shear stress on surface of shaft: 4E-06 Megapascal --> 4 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (U*4*G)/((𝜏^2)) --> (50000*4*40)/((4^2))
Evaluating ... ...
V = 500000
STEP 3: Convert Result to Output's Unit
500000 Cubic Meter --> No Conversion Required
FINAL ANSWER
500000 Cubic Meter <-- Volume of Shaft
(Calculation completed in 00.004 seconds)

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Expression for Strain Energy stored in a Body Due to Torsion Calculators

Value of radius 'r' given shear stress at radius 'r' from center
​ LaTeX ​ Go Radius 'r' from Center Of Shaft = (Shear stress at radius 'r' from shaft*Radius of Shaft)/Shear stress on surface of shaft
Radius of shaft given shear stress at radius r from center
​ LaTeX ​ Go Radius of Shaft = (Radius 'r' from Center Of Shaft/Shear stress at radius 'r' from shaft)*Shear stress on surface of shaft
Modulus of rigidity given shear strain energy
​ LaTeX ​ Go Modulus of rigidity of Shaft = (Shear stress on surface of shaft^2)*(Volume of Shaft)/(2*Strain Energy in body)
Shear strain energy
​ LaTeX ​ Go Strain Energy in body = (Shear stress on surface of shaft^2)*(Volume of Shaft)/(2*Modulus of rigidity of Shaft)

Volume of Shaft given Total Strain Energy in Shaft due to Torsion Formula

​LaTeX ​Go
Volume of Shaft = (Strain Energy in body*4*Modulus of rigidity of Shaft)/((Shear stress on surface of shaft^2))
V = (U*4*G)/((𝜏^2))

Is strain energy a material property?

The strain energy (i.e. the amount of potential energy stored due to the deformation) is equal to the work expended in deforming the material. The total strain energy corresponds to the area under the load-deflection curve.

How to Calculate Volume of Shaft given Total Strain Energy in Shaft due to Torsion?

Volume of Shaft given Total Strain Energy in Shaft due to Torsion calculator uses Volume of Shaft = (Strain Energy in body*4*Modulus of rigidity of Shaft)/((Shear stress on surface of shaft^2)) to calculate the Volume of Shaft, The Volume of Shaft given Total Strain Energy in Shaft due to Torsion formula is defined as the quantity of three-dimensional space enclosed by a closed surface. Volume of Shaft is denoted by V symbol.

How to calculate Volume of Shaft given Total Strain Energy in Shaft due to Torsion using this online calculator? To use this online calculator for Volume of Shaft given Total Strain Energy in Shaft due to Torsion, enter Strain Energy in body (U), Modulus of rigidity of Shaft (G) & Shear stress on surface of shaft (𝜏) and hit the calculate button. Here is how the Volume of Shaft given Total Strain Energy in Shaft due to Torsion calculation can be explained with given input values -> 500000 = (50000*4*40)/((4^2)).

FAQ

What is Volume of Shaft given Total Strain Energy in Shaft due to Torsion?
The Volume of Shaft given Total Strain Energy in Shaft due to Torsion formula is defined as the quantity of three-dimensional space enclosed by a closed surface and is represented as V = (U*4*G)/((𝜏^2)) or Volume of Shaft = (Strain Energy in body*4*Modulus of rigidity of Shaft)/((Shear stress on surface of shaft^2)). Strain Energy in body is defined as the energy stored in a body due to deformation, Modulus of rigidity of Shaft is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is & Shear stress on surface of shaft is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
How to calculate Volume of Shaft given Total Strain Energy in Shaft due to Torsion?
The Volume of Shaft given Total Strain Energy in Shaft due to Torsion formula is defined as the quantity of three-dimensional space enclosed by a closed surface is calculated using Volume of Shaft = (Strain Energy in body*4*Modulus of rigidity of Shaft)/((Shear stress on surface of shaft^2)). To calculate Volume of Shaft given Total Strain Energy in Shaft due to Torsion, you need Strain Energy in body (U), Modulus of rigidity of Shaft (G) & Shear stress on surface of shaft (𝜏). With our tool, you need to enter the respective value for Strain Energy in body, Modulus of rigidity of Shaft & Shear stress on surface of 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 Volume of Shaft?
In this formula, Volume of Shaft uses Strain Energy in body, Modulus of rigidity of Shaft & Shear stress on surface of shaft. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Volume of Shaft = (Strain Energy in body*2*Modulus of rigidity of Shaft)/(Shear stress on surface of shaft^2)
  • Volume of Shaft = (Strain Energy in body*(4*Modulus of rigidity of Shaft*(Outer Diameter of Shaft^2)))/((Shear stress on surface of shaft^2)*((Outer Diameter of Shaft^2)+(Inner Diameter of Shaft^2)))
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