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

✖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 Load [w]			+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%

✖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 Produced given Work Done by Gradually Applied Shear Force [𝜏]

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

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress in body = sqrt((2*Modulus of rigidity Of Bar*Work Done by Load)/(Volume of Body))
𝜏 = sqrt((2*G*w)/(V_T))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
Work Done by Load - (Measured in Joule) - Work Done by Load on a system is energy transferred to the system from its surroundings.
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

Modulus of rigidity Of Bar: 15 Megapascal --> 15000000 Pascal (Check conversion here)
Work Done by Load: 30 Kilojoule --> 30000 Joule (Check conversion here)
Volume of Body: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = sqrt((2*G*w)/(V_T)) --> sqrt((2*15000000*30000)/(63))

Evaluating ... ...

𝜏 = 119522.860933439

STEP 3: Convert Result to Output's Unit

119522.860933439 Pascal -->0.119522860933439 Megapascal (Check conversion here)

FINAL ANSWER

0.119522860933439 ≈ 0.119523 Megapascal <-- Shear Stress 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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Indian Institute of Information Technology (IIIT), Guwahati

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< 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

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

LaTeX Go

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

Shear Stress Produced given Work Done by Gradually Applied Shear Force calculator uses Shear Stress in body = sqrt((2*Modulus of rigidity Of Bar*Work Done by Load)/(Volume of Body)) to calculate the Shear Stress in body, The Shear stress Produced given work done by gradually applied shear force formula is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Shear Stress in body is denoted by 𝜏 symbol.

How to calculate Shear Stress Produced given Work Done by Gradually Applied Shear Force using this online calculator? To use this online calculator for Shear Stress Produced given Work Done by Gradually Applied Shear Force, enter Modulus of rigidity Of Bar (G), Work Done by Load (w) & Volume of Body (V_T) and hit the calculate button. Here is how the Shear Stress Produced given Work Done by Gradually Applied Shear Force calculation can be explained with given input values -> 1.2E-7 = sqrt((2*15000000*30000)/(63)).

FAQ

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

The Shear stress Produced given work done by gradually applied shear force formula is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress and is represented as 𝜏 = sqrt((2*G*w)/(V_T)) or Shear Stress in body = sqrt((2*Modulus of rigidity Of Bar*Work Done by Load)/(Volume of Body)). 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, Work Done by Load on a system is energy transferred to the system from its surroundings & 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 Stress Produced given Work Done by Gradually Applied Shear Force?

The Shear stress Produced given work done by gradually applied shear force formula is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress is calculated using Shear Stress in body = sqrt((2*Modulus of rigidity Of Bar*Work Done by Load)/(Volume of Body)). To calculate Shear Stress Produced given Work Done by Gradually Applied Shear Force, you need Modulus of rigidity Of Bar (G), Work Done by Load (w) & Volume of Body (V_T). With our tool, you need to enter the respective value for Modulus of rigidity Of Bar, Work Done by Load & 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 Shear Stress in body?

In this formula, Shear Stress in body uses Modulus of rigidity Of Bar, Work Done by Load & Volume of Body. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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