Work Done by Gradually Applied Shear Force given 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%

✖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 Stress [w]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Stress and Strain Formula PDF PDF Image

Work Done by Gradually Applied Shear Force given Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work Done by Load = (Shear Stress in body^2*Volume of Body)/(2*Modulus of rigidity Of Bar)
w = (𝜏^2*V_T)/(2*G)
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.
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

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

Evaluating ... ...

w = 84000

STEP 3: Convert Result to Output's Unit

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

FINAL ANSWER

84 Kilojoule <-- Work Done by Load

(Calculation completed in 00.004 seconds)

You are here -

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

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!

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

Work Done by Gradually Applied Shear Force given Shear Stress

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

Work Done by Gradually Applied Shear Force given Shear Strain

LaTeX 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

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

Work Done by Gradually Applied Shear Force given Average Load

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

Work Done by Gradually Applied Shear Force given Shear Stress Formula

LaTeX Go

Work Done by Load = (Shear Stress in body^2*Volume of Body)/(2*Modulus of rigidity Of Bar)
w = (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 Work Done by Gradually Applied Shear Force given Shear Stress?

Work Done by Gradually Applied Shear Force given Shear Stress calculator uses Work Done by Load = (Shear Stress in body^2*Volume of Body)/(2*Modulus of rigidity Of Bar) to calculate the Work Done by Load, The Work done by gradually applied shear force given shear stress 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 Stress using this online calculator? To use this online calculator for Work Done by Gradually Applied Shear Force given 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 Work Done by Gradually Applied Shear Force given Shear Stress calculation can be explained with given input values -> 0.084 = (200000^2*63)/(2*15000000).

FAQ

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

The Work done by gradually applied shear force given shear stress 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^2*V_T)/(2*G) or Work Done by Load = (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 Work Done by Gradually Applied Shear Force given Shear Stress?

The Work done by gradually applied shear force given shear stress 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^2*Volume of Body)/(2*Modulus of rigidity Of Bar). To calculate Work Done by Gradually Applied Shear Force given 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.

How many ways are there to calculate Work Done by Load?

In this formula, Work Done by Load uses Shear Stress in body, Volume of Body & Modulus of rigidity Of Bar. 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*Shear Strain*Volume of Body)/2

Home

FREE PDFs

🔍 Search