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)

Credits

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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6 Stress Calculators

Compressive Stress given Compressive Strain
Go Compressive Stress = (Modulus of Elasticity*Compressive Strain)
Normal Stress given Modulus of Elasticity
Go Normal Stress = Strain in Component*Modulus of Elasticity
Tensile Stress given Modulus of Elasticity
Go Tensile Stress = (Modulus of Elasticity*Tensile Strain)
Permissible Stress using Factor of Safety
Go Permissible Stress = Ultimate Stress/Factor of Safety
Ultimate Stress using Factor of Safety
Go Ultimate Stress = Factor of Safety*Permissible Stress
Shear Stress given Shear Strain
Go Shear Stress = (Modulus of Rigidity*Shear Strain)

Shear Stress given Shear Strain Formula

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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