Volume given shear strain energy Calculator

✖Strain Energy in body is defined as the energy stored in a body due to deformation.ⓘ Strain Energy in body [U]			+10% -10%
✖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.ⓘ Modulus of rigidity of Shaft [G]			+10% -10%
✖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.ⓘ Shear stress on surface of shaft [𝜏]			+10% -10%

✖The Volume of Shaft is the volume of cylindical component under torsion.ⓘ Volume given shear strain energy [V]

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Volume given shear strain energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Shaft = (Strain Energy in body*2*Modulus of rigidity of Shaft)/(Shear stress on surface of shaft^2)
V = (U*2*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*2*G)/(𝜏^2) --> (50000*2*40)/(4^2)

Evaluating ... ...

V = 250000

STEP 3: Convert Result to Output's Unit

250000 Cubic Meter --> No Conversion Required

FINAL ANSWER

250000 Cubic Meter <-- Volume of Shaft

(Calculation completed in 00.007 seconds)

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Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Mechanical » Expression for Strain Energy stored in a Body Due to Torsion » Volume given shear strain energy

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National Institute Of Technology (NIT), Hamirpur

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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 given shear strain energy Formula

LaTeX Go

Volume of Shaft = (Strain Energy in body*2*Modulus of rigidity of Shaft)/(Shear stress on surface of shaft^2)
V = (U*2*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 given shear strain energy?

Volume given shear strain energy calculator uses Volume of Shaft = (Strain Energy in body*2*Modulus of rigidity of Shaft)/(Shear stress on surface of shaft^2) to calculate the Volume of Shaft, Volume given shear strain energy is the quantity of three-dimensional space enclosed by a closed surface. Volume of Shaft is denoted by V symbol.

How to calculate Volume given shear strain energy using this online calculator? To use this online calculator for Volume given shear strain energy, 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 given shear strain energy calculation can be explained with given input values -> 250000 = (50000*2*40)/(4^2).

FAQ

What is Volume given shear strain energy?

Volume given shear strain energy is the quantity of three-dimensional space enclosed by a closed surface and is represented as V = (U*2*G)/(𝜏^2) or Volume of Shaft = (Strain Energy in body*2*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 given shear strain energy?

Volume given shear strain energy is the quantity of three-dimensional space enclosed by a closed surface is calculated using Volume of Shaft = (Strain Energy in body*2*Modulus of rigidity of Shaft)/(Shear stress on surface of shaft^2). To calculate Volume given shear strain energy, 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*4*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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