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Young's Modulus from shear modulus Calculator

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✖Shear modulus is the slope of the linear elastic region of the shear stress–strain curve.ⓘ Shear Modulus [G]			+10% -10%
✖Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.ⓘ Poisson's Ratio [𝛎]			+10% -10%

✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus from shear modulus [E]

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Young's Modulus from shear modulus Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's Modulus = 2*Shear Modulus*(1+Poisson's Ratio)
E = 2*G*(1+𝛎)
This formula uses 3 Variables

Variables Used

Young's Modulus - (Measured in Newton per Meter) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Shear Modulus - (Measured in Pascal) - Shear modulus is the slope of the linear elastic region of the shear stress–strain curve.
Poisson's Ratio - Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.

STEP 1: Convert Input(s) to Base Unit

Shear Modulus: 25 Gigapascal --> 25000000000 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = 2*G*(1+𝛎) --> 2*25000000000*(1+0.3)

Evaluating ... ...

E = 65000000000

STEP 3: Convert Result to Output's Unit

65000000000 Newton per Meter --> No Conversion Required

FINAL ANSWER

65000000000 ≈ 6.5E+10 Newton per Meter <-- Young's Modulus

(Calculation completed in 00.020 seconds)

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Young's Modulus from shear modulus

LaTeX Go Young's Modulus = 2*Shear Modulus*(1+Poisson's Ratio)

Young's Modulus from shear modulus Formula

LaTeX Go

Young's Modulus = 2*Shear Modulus*(1+Poisson's Ratio)
E = 2*G*(1+𝛎)

Relation between shear and elastic moduli

For isotropic materials, shear and elastic moduli are related to each other via Poisson’s ratio. Thus, if one modulus is known the other can be obtained.

How to Calculate Young's Modulus from shear modulus?

Young's Modulus from shear modulus calculator uses Young's Modulus = 2*Shear Modulus*(1+Poisson's Ratio) to calculate the Young's Modulus, Young's Modulus from shear modulus can be obtained via Poisson's ratio. Young's Modulus is denoted by E symbol.

How to calculate Young's Modulus from shear modulus using this online calculator? To use this online calculator for Young's Modulus from shear modulus, enter Shear Modulus (G) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Young's Modulus from shear modulus calculation can be explained with given input values -> 6.5E+10 = 2*25000000000*(1+0.3).

FAQ

What is Young's Modulus from shear modulus?

Young's Modulus from shear modulus can be obtained via Poisson's ratio and is represented as E = 2*G*(1+𝛎) or Young's Modulus = 2*Shear Modulus*(1+Poisson's Ratio). Shear modulus is the slope of the linear elastic region of the shear stress–strain curve & Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.

How to calculate Young's Modulus from shear modulus?

Young's Modulus from shear modulus can be obtained via Poisson's ratio is calculated using Young's Modulus = 2*Shear Modulus*(1+Poisson's Ratio). To calculate Young's Modulus from shear modulus, you need Shear Modulus (G) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Shear Modulus & Poisson's Ratio 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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