Shear Strain Produced given Work Done by Gradually Applied Shear Force Calculator

✖Work Done by Load on a system is energy transferred to the system from its surroundings.ⓘ Work Done by Load [w]			+10% -10%
✖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%

✖The Shear Strain is the ratio of the change in deformation to its original length perpendicular to the axes of the member due to shear stress.ⓘ Shear Strain Produced given Work Done by Gradually Applied Shear Force [𝜂]

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Formula

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Shear Strain Produced given Work Done by Gradually Applied Shear Force

Formula

`"𝜂" = (2*"w")/("𝜏"*"V"_{"T"})`

Example

`"0.004762"=(2*"30KJ")/("0.2MPa"*"63m³")`

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Shear Strain Produced given Work Done by Gradually Applied Shear Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Strain = (2*Work Done by Load)/(Shear Stress in body*Volume of Body)
𝜂 = (2*w)/(𝜏*V_T)
This formula uses 4 Variables

Variables Used

Shear Strain - The Shear Strain is the ratio of the change in deformation to its original length perpendicular to the axes of the member due to shear stress.
Work Done by Load - (Measured in Joule) - Work Done by Load on a system is energy transferred to the system from its surroundings.
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.

STEP 1: Convert Input(s) to Base Unit

Work Done by Load: 30 Kilojoule --> 30000 Joule (Check conversion here)
Shear Stress in body: 0.2 Megapascal --> 200000 Pascal (Check conversion here)
Volume of Body: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜂 = (2*w)/(𝜏*V_T) --> (2*30000)/(200000*63)

Evaluating ... ...

𝜂 = 0.00476190476190476

STEP 3: Convert Result to Output's Unit

0.00476190476190476 --> No Conversion Required

FINAL ANSWER

0.00476190476190476 ≈ 0.004762 <-- Shear Strain

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Strain Energy » Strain Energy stored in a Body due to Shear Stress » Shear Strain Produced given Work Done by Gradually Applied Shear Force

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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

Shear Strain Produced given Work Done by Gradually Applied Shear Force Formula

Shear Strain = (2*Work Done by Load)/(Shear Stress in body*Volume of Body)
𝜂 = (2*w)/(𝜏*V_T)

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 Shear Strain Produced given Work Done by Gradually Applied Shear Force?

Shear Strain Produced given Work Done by Gradually Applied Shear Force calculator uses Shear Strain = (2*Work Done by Load)/(Shear Stress in body*Volume of Body) to calculate the Shear Strain, The Shear strain Produced given work done by gradually applied shear force formula is defined as the ratio of the change in deformation to its original length perpendicular to the axes of the member due to shear stress. Shear Strain is denoted by 𝜂 symbol.

How to calculate Shear Strain Produced given Work Done by Gradually Applied Shear Force using this online calculator? To use this online calculator for Shear Strain Produced given Work Done by Gradually Applied Shear Force, enter Work Done by Load (w), Shear Stress in body (𝜏) & Volume of Body (V_T) and hit the calculate button. Here is how the Shear Strain Produced given Work Done by Gradually Applied Shear Force calculation can be explained with given input values -> 0.004762 = (2*30000)/(200000*63).

FAQ

What is Shear Strain Produced given Work Done by Gradually Applied Shear Force?

The Shear strain Produced given work done by gradually applied shear force formula is defined as the ratio of the change in deformation to its original length perpendicular to the axes of the member due to shear stress and is represented as 𝜂 = (2*w)/(𝜏*V_T) or Shear Strain = (2*Work Done by Load)/(Shear Stress in body*Volume of Body). Work Done by Load on a system is energy transferred to the system from its surroundings, 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.

How to calculate Shear Strain Produced given Work Done by Gradually Applied Shear Force?

The Shear strain Produced given work done by gradually applied shear force formula is defined as the ratio of the change in deformation to its original length perpendicular to the axes of the member due to shear stress is calculated using Shear Strain = (2*Work Done by Load)/(Shear Stress in body*Volume of Body). To calculate Shear Strain Produced given Work Done by Gradually Applied Shear Force, you need Work Done by Load (w), Shear Stress in body (𝜏) & Volume of Body (V_T). With our tool, you need to enter the respective value for Work Done by Load, Shear Stress in body & Volume of Body 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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