Shear strain energy Calculator

✖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 of Shaft [V]			+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%

✖Strain Energy in body is defined as the energy stored in a body due to deformation.ⓘ Shear strain energy [U]

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Shear strain energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strain Energy in body = (Shear stress on surface of shaft^2)*(Volume of Shaft)/(2*Modulus of rigidity of Shaft)
U = (𝜏^2)*(V)/(2*G)
This formula uses 4 Variables

Variables Used

Strain Energy in body - (Measured in Joule) - Strain Energy in body is defined as the energy stored in a body due to deformation.
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.
Volume of Shaft - (Measured in Cubic Meter) - The Volume of Shaft is the volume of cylindical component under torsion.
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.

STEP 1: Convert Input(s) to Base Unit

Shear stress on surface of shaft: 4E-06 Megapascal --> 4 Pascal (Check conversion here)
Volume of Shaft: 125.6 Cubic Meter --> 125.6 Cubic Meter No Conversion Required
Modulus of rigidity of Shaft: 4E-05 Megapascal --> 40 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U = (𝜏^2)*(V)/(2*G) --> (4^2)*(125.6)/(2*40)

Evaluating ... ...

U = 25.12

STEP 3: Convert Result to Output's Unit

25.12 Joule -->0.02512 Kilojoule (Check conversion here)

FINAL ANSWER

0.02512 Kilojoule <-- Strain Energy in body

(Calculation completed in 00.004 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 » Shear strain energy

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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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)

Shear strain energy Formula

LaTeX Go

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

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 and has units of in-lbf in US Customary units and N-m in SI units.

How to Calculate Shear strain energy?

Shear strain energy calculator uses Strain Energy in body = (Shear stress on surface of shaft^2)*(Volume of Shaft)/(2*Modulus of rigidity of Shaft) to calculate the Strain Energy in body, The Shear strain energy formula is defined as the energy stored in a body due to deformation. 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. Strain Energy in body is denoted by U symbol.

How to calculate Shear strain energy using this online calculator? To use this online calculator for Shear strain energy, enter Shear stress on surface of shaft (𝜏), Volume of Shaft (V) & Modulus of rigidity of Shaft (G) and hit the calculate button. Here is how the Shear strain energy calculation can be explained with given input values -> 2.5E-5 = (4^2)*(125.6)/(2*40).

FAQ

What is Shear strain energy?

The Shear strain energy formula is defined as the energy stored in a body due to deformation. 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 and is represented as U = (𝜏^2)*(V)/(2*G) or Strain Energy in body = (Shear stress on surface of shaft^2)*(Volume of Shaft)/(2*Modulus of rigidity of Shaft). 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, The Volume of Shaft is the volume of cylindical component under torsion & 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.

How to calculate Shear strain energy?

The Shear strain energy formula is defined as the energy stored in a body due to deformation. 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 is calculated using Strain Energy in body = (Shear stress on surface of shaft^2)*(Volume of Shaft)/(2*Modulus of rigidity of Shaft). To calculate Shear strain energy, you need Shear stress on surface of shaft (𝜏), Volume of Shaft (V) & Modulus of rigidity of Shaft (G). With our tool, you need to enter the respective value for Shear stress on surface of shaft, Volume of Shaft & Modulus of rigidity 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 Strain Energy in body?

In this formula, Strain Energy in body uses Shear stress on surface of shaft, Volume of Shaft & Modulus of rigidity of Shaft. We can use 3 other way(s) to calculate the same, which is/are as follows -

Strain Energy in body = (2*pi*(Shear stress on surface of shaft^2)*Length of Shaft*(Radius 'r' from Center Of Shaft^3)*Length of Small Element)/(2*Modulus of rigidity of Shaft*(Radius of Shaft^2))
Strain Energy in body = ((Shear stress on surface of shaft^2)*Length of Shaft*Polar Moment of Inertia of shaft)/(2*Modulus of rigidity of Shaft*(Radius of Shaft^2))
Strain Energy in body = ((Shear stress on surface of shaft^2)*Volume of Shaft)/(4*Modulus of rigidity of Shaft)

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