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 00.004 seconds)

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Created by Hariharan V S
Indian Institute of Technology (IIT), Chennai
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10+ Ceramics and Composites Calculators

Young's Modulus of composite in transverse direction
Go Young's modulus in transverse direction = (Young's modulus of matrix in composite*Young's modulus of fiber in composite)/(Volume Fraction of Fiber*Young's modulus of matrix in composite+(1-Volume Fraction of Fiber)*Young's modulus of fiber in composite)
Longitudinal strength of discontinuous fiber-reinforced composite
Go Longitudinal strength of composite(discontinous fiber) = Tensile Strength of Fiber*Volume Fraction of Fiber*(1-(Critical Fiber Length/(2*Fiber length)))+Stress in Matrix*(1-Volume Fraction of Fiber)
Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length)
Go Longitudinal strength of composite(discontinous fiber less than lc) = (Volume Fraction of Fiber*Fiber length*Critical Shear Stress/Fiber Diameter)+Stress in Matrix*(1-Volume Fraction of Fiber)
Young's Modulus of composite in longitudinal direction
Go Young's modulus of composite in longitudinal direction = Young's modulus of matrix in composite*(1-Volume Fraction of Fiber)+Young's modulus of fiber in composite*Volume Fraction of Fiber
Young's Modulus of porous material
Go Young's modulus of porous material = Young's modulus of non-porous material*(1-(0.019*Volume Percent of Porosity)+(0.00009*Volume Percent of Porosity*Volume Percent of Porosity))
Schottky Defect Concentration
Go Number of Schottky Defects = Number of atomic sites*exp(-Activation energy for Schottky formation/(2*Universal Gas Constant*Temperature))
Longitudinal Strength of Composite
Go Longitudinal Strength of Composite = Stress in Matrix*(1-Volume Fraction of Fiber)+Tensile Strength of Fiber*Volume Fraction of Fiber
Percent ionic character
Go Percent Ionic Character = 100*(1-exp(-0.25*(Electronegativity of element A-Electronegativity of element B)^2))
Critical Fiber Length
Go Critical Fiber Length = Tensile Strength of Fiber*Fiber Diameter/(2*Critical Shear Stress)
Young's Modulus from shear modulus
Go Young's Modulus = 2*Shear Modulus*(1+Poisson's Ratio)

Young's Modulus from shear modulus Formula

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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