Strain Energy Stored in Body due to Shear Stress Calculator

✖Shear Stress in body is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress in body [𝜏]			+10% -10%
✖Volume of Body is the amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Volume of Body [V_T]			+10% -10%
✖Modulus of rigidity of Bar 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 Bar [G]			+10% -10%

✖Strain Energy in body is defined as the energy stored in a body due to deformation.ⓘ Strain Energy Stored in Body due to Shear Stress [U_body]

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Formula

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Strain Energy Stored in Body due to Shear Stress

Formula

`"U"_{"body"} = ("𝜏"^2*"V"_{"T"})/(2*"G")`

Example

`"84KJ"=(("0.2MPa")^2*"63m³")/(2*"15MPa")`

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Strain Energy Stored in Body due to Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strain Energy in body = (Shear Stress in body^2*Volume of Body)/(2*Modulus of rigidity Of Bar)
U_body = (𝜏^2*V_T)/(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 in body - (Measured in Pascal) - Shear Stress in body is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Volume of Body - (Measured in Cubic Meter) - Volume of Body is the amount of space that a substance or object occupies or that is enclosed within a container.
Modulus of rigidity Of Bar - (Measured in Pascal) - Modulus of rigidity of Bar 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 in body: 0.2 Megapascal --> 200000 Pascal (Check conversion here)
Volume of Body: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required
Modulus of rigidity Of Bar: 15 Megapascal --> 15000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U_body = (𝜏^2*V_T)/(2*G) --> (200000^2*63)/(2*15000000)

Evaluating ... ...

U_body = 84000

STEP 3: Convert Result to Output's Unit

84000 Joule -->84 Kilojoule (Check conversion here)

FINAL ANSWER

84 Kilojoule <-- Strain Energy in body

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 8 Strain Energy stored in a Body due to Shear Stress Calculators

Shear Stress Produced given Strain Energy Stored in Body Due to Shear Stress

Go Shear Stress in body = sqrt((2*Modulus of rigidity Of Bar*Strain Energy in body)/(Volume of Body))

Shear Stress Produced given Work Done by Gradually Applied Shear Force

Go Shear Stress in body = sqrt((2*Modulus of rigidity Of Bar*Work Done by Load)/(Volume of Body))

Strain Energy Stored in Body due to Shear Stress

Go Strain Energy in body = (Shear Stress in body^2*Volume of Body)/(2*Modulus of rigidity Of Bar)

Work Done by Gradually Applied Shear Force given Shear Stress

Go Work Done by Load = (Shear Stress in body^2*Volume of Body)/(2*Modulus of rigidity Of Bar)

Shear Strain Produced given Work Done by Gradually Applied Shear Force

Go Shear Strain = (2*Work Done by Load)/(Shear Stress in body*Volume of Body)

Work Done by Gradually Applied Shear Force given Shear Strain

Go Work Done by Load = (Shear Stress in body*Shear Strain*Volume of Body)/2

Average Load Value given Work done by Gradually Applied Shear Force

Go Average Load = Work Done by Load/Distance moved by top face

Work Done by Gradually Applied Shear Force given Average Load

Go Work Done by Load = Average Load*Distance moved by top face

Strain Energy Stored in Body due to Shear Stress Formula

Strain Energy in body = (Shear Stress in body^2*Volume of Body)/(2*Modulus of rigidity Of Bar)
U_body = (𝜏^2*V_T)/(2*G)

Is strain energy a material property?

When force is applied to a material, the material deforms and stores potential energy, just like a spring. 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.

How to Calculate Strain Energy Stored in Body due to Shear Stress?

Strain Energy Stored in Body due to Shear Stress calculator uses Strain Energy in body = (Shear Stress in body^2*Volume of Body)/(2*Modulus of rigidity Of Bar) to calculate the Strain Energy in body, The Strain energy stored in body due to shear stress formula is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation. Strain Energy in body is denoted by U_body symbol.

How to calculate Strain Energy Stored in Body due to Shear Stress using this online calculator? To use this online calculator for Strain Energy Stored in Body due to Shear Stress, enter Shear Stress in body (𝜏), Volume of Body (V_T) & Modulus of rigidity Of Bar (G) and hit the calculate button. Here is how the Strain Energy Stored in Body due to Shear Stress calculation can be explained with given input values -> 0.084 = (200000^2*63)/(2*15000000).

FAQ

What is Strain Energy Stored in Body due to Shear Stress?

The Strain energy stored in body due to shear stress formula is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation and is represented as U_body = (𝜏^2*V_T)/(2*G) or Strain Energy in body = (Shear Stress in body^2*Volume of Body)/(2*Modulus of rigidity Of Bar). Shear Stress in body is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, Volume of Body is the amount of space that a substance or object occupies or that is enclosed within a container & Modulus of rigidity of Bar 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 Strain Energy Stored in Body due to Shear Stress?

The Strain energy stored in body due to shear stress formula is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation is calculated using Strain Energy in body = (Shear Stress in body^2*Volume of Body)/(2*Modulus of rigidity Of Bar). To calculate Strain Energy Stored in Body due to Shear Stress, you need Shear Stress in body (𝜏), Volume of Body (V_T) & Modulus of rigidity Of Bar (G). With our tool, you need to enter the respective value for Shear Stress in body, Volume of Body & Modulus of rigidity Of Bar and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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