Shear Strain if Modulus of Rigidity and Shear Stress Calculator

✖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 [𝜏]			+10% -10%
✖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 if Modulus of Rigidity and Shear Stress [𝜂]

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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)

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Home » Physics » Strength of Materials » Stress and Strain » Relationship between Stress and Strain » Mechanical » Strain » Shear Strain if Modulus of Rigidity and Shear Stress

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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K J Somaiya College of Engineering (K J Somaiya), Mumbai

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< Strain Calculators

Compressive Strain given Compressive Stress

LaTeX Go Compressive Strain = (Compressive Stress/Modulus of Elasticity)

Lateral Strain given Decrease in Breadth

LaTeX Go Lateral Strain = Decrease in Breadth/Breadth of Component

Lateral Strain using Poisson's Ratio

Go Lateral Strain = -(Poisson's Ratio*Longitudinal Strain)

Lateral Strain given Decrease in Depth

LaTeX Go Lateral Strain = Decrease in Depth/Depth of Component

Shear Strain if Modulus of Rigidity and Shear Stress Formula

LaTeX Go

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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