Work Done by Gradually Applied Shear Force given Shear Strain 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%
✖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 [𝜂]			+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%

✖Work Done by Load on a system is energy transferred to the system from its surroundings.ⓘ Work Done by Gradually Applied Shear Force given Shear Strain [w]

⎘ Copy

👎

Formula

✖

Work Done by Gradually Applied Shear Force given Shear Strain

Formula

`"w" = ("𝜏"*"𝜂"*"V"_{"T"})/2`

Example

`"11025KJ"=("0.2MPa"*"1.75"*"63m³")/2`

Calculator

LaTeX

Reset

👍

Download Stress and Strain Formula PDF PDF Image

Work Done by Gradually Applied Shear Force given Shear Strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

Shear Stress in body: 0.2 Megapascal --> 200000 Pascal (Check conversion here)
Shear Strain: 1.75 --> No Conversion Required
Volume of Body: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = (𝜏*𝜂*V_T)/2 --> (200000*1.75*63)/2

Evaluating ... ...

w = 11025000

STEP 3: Convert Result to Output's Unit

11025000 Joule -->11025 Kilojoule (Check conversion here)

FINAL ANSWER

11025 Kilojoule <-- Work Done by Load

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

Dipto Mandal has verified this Calculator and 400+ more calculators!

< 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

Work Done by Gradually Applied Shear Force given Shear Strain Formula

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

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 Work Done by Gradually Applied Shear Force given Shear Strain?

Work Done by Gradually Applied Shear Force given Shear Strain calculator uses Work Done by Load = (Shear Stress in body*Shear Strain*Volume of Body)/2 to calculate the Work Done by Load, The Work Done by Gradually Applied Shear Force given Shear Strain formula is defined as measure of energy transfer that occurs when an object is moved over a distance by an external force. Work Done by Load is denoted by w symbol.

How to calculate Work Done by Gradually Applied Shear Force given Shear Strain using this online calculator? To use this online calculator for Work Done by Gradually Applied Shear Force given Shear Strain, enter Shear Stress in body (𝜏), Shear Strain (𝜂) & Volume of Body (V_T) and hit the calculate button. Here is how the Work Done by Gradually Applied Shear Force given Shear Strain calculation can be explained with given input values -> 11.025 = (200000*1.75*63)/2.

FAQ

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

The Work Done by Gradually Applied Shear Force given Shear Strain formula is defined as measure of energy transfer that occurs when an object is moved over a distance by an external force and is represented as w = (𝜏*𝜂*V_T)/2 or Work Done by Load = (Shear Stress in body*Shear Strain*Volume of Body)/2. 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, 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 & Volume of Body is the amount of space that a substance or object occupies or that is enclosed within a container.

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

The Work Done by Gradually Applied Shear Force given Shear Strain formula is defined as measure of energy transfer that occurs when an object is moved over a distance by an external force is calculated using Work Done by Load = (Shear Stress in body*Shear Strain*Volume of Body)/2. To calculate Work Done by Gradually Applied Shear Force given Shear Strain, you need Shear Stress in body (𝜏), Shear Strain (𝜂) & Volume of Body (V_T). With our tool, you need to enter the respective value for Shear Stress in body, Shear Strain & Volume of Body 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 Work Done by Load?

In this formula, Work Done by Load uses Shear Stress in body, Shear Strain & Volume of Body. We can use 2 other way(s) to calculate the same, which is/are as follows -

Work Done by Load = Average Load*Distance moved by top face
Work Done by Load = (Shear Stress in body^2*Volume of Body)/(2*Modulus of rigidity Of Bar)

Home

FREE PDFs

🔍 Search