Shear Stress given Shear Strain Calculator

✖Modulus of Rigidity 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 [G]			+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%

✖Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress given Shear Strain [𝜏]

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Shear Stress given Shear Strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = (Modulus of Rigidity*Shear Strain)
𝜏 = (G*𝜂)
This formula uses 3 Variables

Variables Used

Shear Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Modulus of Rigidity - (Measured in Pascal) - Modulus of Rigidity 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.
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.

STEP 1: Convert Input(s) to Base Unit

Modulus of Rigidity: 36 Megapascal --> 36000000 Pascal (Check conversion here)
Shear Strain: 1.75 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = (G*𝜂) --> (36000000*1.75)

Evaluating ... ...

𝜏 = 63000000

STEP 3: Convert Result to Output's Unit

63000000 Pascal -->63 Megapascal (Check conversion here)

FINAL ANSWER

63 Megapascal <-- Shear Stress

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Relationship between Stress and Strain » Mechanical » Stress » Shear Stress given Shear Strain

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has created this Calculator and 200+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Shear Stress given Shear Strain

LaTeX Go Shear Stress = (Modulus of Rigidity*Shear Strain)

Shear Stress given Shear Strain Formula

LaTeX Go

Shear Stress = (Modulus of Rigidity*Shear Strain)
𝜏 = (G*𝜂)

What is shear stress?

The Shear stress is a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

What is shear strain?

Shear strain is measured as the displacement of the surface that is in direct contact with the applied shear stress from its original position.

How to Calculate Shear Stress given Shear Strain?

Shear Stress given Shear Strain calculator uses Shear Stress = (Modulus of Rigidity*Shear Strain) to calculate the Shear Stress, The Shear Stress given Shear Strain formula is defined as the product of the modulus of rigidity and shear strain. Shear Stress is denoted by 𝜏 symbol.

How to calculate Shear Stress given Shear Strain using this online calculator? To use this online calculator for Shear Stress given Shear Strain, enter Modulus of Rigidity (G) & Shear Strain (𝜂) and hit the calculate button. Here is how the Shear Stress given Shear Strain calculation can be explained with given input values -> 6.3E-5 = (36000000*1.75).

FAQ

What is Shear Stress given Shear Strain?

The Shear Stress given Shear Strain formula is defined as the product of the modulus of rigidity and shear strain and is represented as 𝜏 = (G*𝜂) or Shear Stress = (Modulus of Rigidity*Shear Strain). Modulus of Rigidity 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 & 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.

How to calculate Shear Stress given Shear Strain?

The Shear Stress given Shear Strain formula is defined as the product of the modulus of rigidity and shear strain is calculated using Shear Stress = (Modulus of Rigidity*Shear Strain). To calculate Shear Stress given Shear Strain, you need Modulus of Rigidity (G) & Shear Strain (𝜂). With our tool, you need to enter the respective value for Modulus of Rigidity & Shear Strain 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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