Shear Strain if Modulus of Rigidity and Shear Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Strain = Shear Stress/Modulus of Rigidity
𝜂 = 𝜏/G
This formula uses 3 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Shear Stress: 5 Megapascal --> 5000000 Pascal (Check conversion here)
Modulus of Rigidity: 36 Megapascal --> 36000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝜂 = 𝜏/G --> 5000000/36000000
Evaluating ... ...
𝜂 = 0.138888888888889
STEP 3: Convert Result to Output's Unit
0.138888888888889 --> No Conversion Required
FINAL ANSWER
0.138888888888889 0.138889 <-- Shear Strain
(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 Rushi Shah
K J Somaiya College of Engineering (K J Somaiya), Mumbai
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7 Strain Calculators

Longitudinal Strain
Go Longitudinal Strain = Change in Length of Component/Initial Length
Compressive Strain given Compressive Stress
Go Compressive Strain = (Compressive Stress/Modulus of Elasticity)
Lateral Strain given Decrease in Breadth
Go Lateral Strain = Decrease in Breadth/Breadth of Component
Tensile Strain given Modulus of Elasticity
Go Tensile Strain = (Tensile Stress/Modulus of Elasticity)
Lateral Strain using Poisson's Ratio
Go Lateral Strain = -(Poisson's Ratio*Longitudinal Strain)
Lateral Strain given Decrease in Depth
Go Lateral Strain = Decrease in Depth/Depth of Component
Shear Strain if Modulus of Rigidity and Shear Stress
Go Shear Strain = Shear Stress/Modulus of Rigidity

Shear Strain if Modulus of Rigidity and Shear Stress Formula

Shear Strain = Shear Stress/Modulus of Rigidity
𝜂 = 𝜏/G

What are shear stress and shear strain?

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

What is modulus of rigidity?

Modulus of rigidity is defined as the ratio of shear stress to the shear strain within the elastic limit. It gives us a measure of how rigid a body is.

How to Calculate Shear Strain if Modulus of Rigidity and Shear Stress?

Shear Strain if Modulus of Rigidity and Shear Stress calculator uses Shear Strain = Shear Stress/Modulus of Rigidity to calculate the Shear Strain, Shear Strain if Modulus of Rigidity and Shear Stress occurs when a sideways force is exerted on a medium. Shear Strain is denoted by 𝜂 symbol.

How to calculate Shear Strain if Modulus of Rigidity and Shear Stress using this online calculator? To use this online calculator for Shear Strain if Modulus of Rigidity and Shear Stress, enter Shear Stress (𝜏) & Modulus of Rigidity (G) and hit the calculate button. Here is how the Shear Strain if Modulus of Rigidity and Shear Stress calculation can be explained with given input values -> 0.138889 = 5000000/36000000.

FAQ

What is Shear Strain if Modulus of Rigidity and Shear Stress?
Shear Strain if Modulus of Rigidity and Shear Stress occurs when a sideways force is exerted on a medium and is represented as 𝜂 = 𝜏/G or Shear Strain = Shear Stress/Modulus of Rigidity. 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 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 Shear Strain if Modulus of Rigidity and Shear Stress?
Shear Strain if Modulus of Rigidity and Shear Stress occurs when a sideways force is exerted on a medium is calculated using Shear Strain = Shear Stress/Modulus of Rigidity. To calculate Shear Strain if Modulus of Rigidity and Shear Stress, you need Shear Stress (𝜏) & Modulus of Rigidity (G). With our tool, you need to enter the respective value for Shear Stress & Modulus of Rigidity 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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