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Shear Modulus Calculator

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Stress and Strain Strain Stress

✖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%

✖Shear Modulus in Pa is the slope of the linear elastic region of the shear stress-strain curve.ⓘ Shear Modulus [G_pa]

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Shear Modulus Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Modulus = Shear Stress/Shear Strain
G_pa = 𝜏/𝜂
This formula uses 3 Variables

Variables Used

Shear Modulus - (Measured in Pascal) - Shear Modulus in Pa is the slope of the linear elastic region of the shear stress-strain curve.
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: 61 Pascal --> 61 Pascal No Conversion Required
Shear Strain: 1.75 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_pa = 𝜏/𝜂 --> 61/1.75

Evaluating ... ...

G_pa = 34.8571428571429

STEP 3: Convert Result to Output's Unit

34.8571428571429 Pascal --> No Conversion Required

FINAL ANSWER

34.8571428571429 ≈ 34.85714 Pascal <-- Shear Modulus

(Calculation completed in 00.004 seconds)

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Shear Modulus Formula

LaTeX Go

Shear Modulus = Shear Stress/Shear Strain
G_pa = 𝜏/𝜂

What is Shear Modulus?

Shear modulus also known as Modulus of rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain.

How to Calculate Shear Modulus?

Shear Modulus calculator uses Shear Modulus = Shear Stress/Shear Strain to calculate the Shear Modulus, The Shear Modulus is the ratio of shear stress to shear strain. Shear Modulus is denoted by G_pa symbol.

How to calculate Shear Modulus using this online calculator? To use this online calculator for Shear Modulus, enter Shear Stress (𝜏) & Shear Strain (𝜂) and hit the calculate button. Here is how the Shear Modulus calculation can be explained with given input values -> 53.2 = 61/1.75.

FAQ

What is Shear Modulus?

The Shear Modulus is the ratio of shear stress to shear strain and is represented as G_pa = 𝜏/𝜂 or Shear Modulus = 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 Shear Modulus?

The Shear Modulus is the ratio of shear stress to shear strain is calculated using Shear Modulus = Shear Stress/Shear Strain. To calculate Shear Modulus, 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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