Modulus of Rigidity given 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%
✖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%

✖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 given Shear Stress [G]

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Modulus of Rigidity given Shear Stress

Formula

`"G" = ("𝜏"/"𝜂")`

Example

`"2.857143MPa"=("5MPa"/"1.75")`

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Modulus of Rigidity given Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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 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.
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

Shear Stress: 5 Megapascal --> 5000000 Pascal (Check conversion here)
Shear Strain: 1.75 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G = (𝜏/𝜂) --> (5000000/1.75)

Evaluating ... ...

G = 2857142.85714286

STEP 3: Convert Result to Output's Unit

2857142.85714286 Pascal -->2.85714285714286 Megapascal (Check conversion here)

FINAL ANSWER

2.85714285714286 ≈ 2.857143 Megapascal <-- Modulus of Rigidity

(Calculation completed in 00.004 seconds)

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

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< 6 Relationship between Stress and Strain Calculators

Modulus of Elasticity given Compressive Stress

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

Modulus of Elasticity given Normal Stress

Go Modulus of Elasticity = Normal Stress/Strain in Component

Modulus of Elasticity given Tensile Stress

Go Modulus of Elasticity = (Tensile Stress/Tensile Strain)

Factor of Safety

Go Factor of Safety = Ultimate Stress/Permissible Stress

Modulus of Rigidity given Shear Stress

Go Modulus of Rigidity = (Shear Stress/Shear Strain)

Margin of Safety

Go Margin of Safety = Factor of Safety-1

Modulus of Rigidity given Shear Stress Formula

Modulus of Rigidity = (Shear Stress/Shear Strain)
G = (𝜏/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 Modulus of Rigidity given Shear Stress?

Modulus of Rigidity given Shear Stress calculator uses Modulus of Rigidity = (Shear Stress/Shear Strain) to calculate the Modulus of Rigidity, The Modulus of Rigidity given Shear Stress formula is defined as the ratio of shear stress to the shear strain within the elastic limit. Modulus of Rigidity is denoted by G symbol.

How to calculate Modulus of Rigidity given Shear Stress using this online calculator? To use this online calculator for Modulus of Rigidity given Shear Stress, enter Shear Stress (𝜏) & Shear Strain (𝜂) and hit the calculate button. Here is how the Modulus of Rigidity given Shear Stress calculation can be explained with given input values -> 2.9E-6 = (5000000/1.75).

FAQ

What is Modulus of Rigidity given Shear Stress?

The Modulus of Rigidity given Shear Stress formula is defined as the ratio of shear stress to the shear strain within the elastic limit and is represented as G = (𝜏/𝜂) or Modulus of Rigidity = (Shear Stress/Shear Strain). Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress & 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 Modulus of Rigidity given Shear Stress?

The Modulus of Rigidity given Shear Stress formula is defined as the ratio of shear stress to the shear strain within the elastic limit is calculated using Modulus of Rigidity = (Shear Stress/Shear Strain). To calculate Modulus of Rigidity given Shear Stress, you need Shear Stress (𝜏) & Shear Strain (𝜂). With our tool, you need to enter the respective value for Shear Stress & 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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