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 0.25 and 0.35.ⓘ Poisson's ratio [𝛎]			+10% -10%

✖Young's Modulus which can also be called elastic modulus is a mechanical property of linear elastic solid substances. It describes the relationship between stress (force per unit area) and strain (proportional deformation in an object).ⓘ Young's Modulus from shear modulus [E]

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Hariharan V S

Indian Institute of Technology (IIT), Chennai

Hariharan V S has created this Calculator and 25+ more calculators!

< 5 Other formulas that you can solve using the same Inputs

Strain Energy due to Torsion in Hollow Shaft

Strain Energy=(Shear Stress^(2))*(Outer diameter^(2)+Inner Diameter^(2))*Volume of Shaft/(4*Shear Modulus*Outer diameter^(2)) GO

Total Angle of Twist

Total Angle of Twist=(Torque*Length of Shaft)/(Shear Modulus*Polar moment of Inertia) GO

Strain Energy if Torsion Moment Value is Given

Strain Energy=Torsion load*Length/(2*Shear Modulus*Polar moment of Inertia) GO

Strain Energy in Torsion for Solid Shaft

Strain Energy=Shear Stress^(2)*Volume of Shaft/(4*Shear Modulus) GO

Strain energy due to pure shear

Strain Energy=Shear Stress*Shear Stress*Volume/(2*Shear Modulus) GO

< 2 Other formulas that calculate the same Output

Hooke's law

Young's Modulus=Force*Elongation/(Area*Initial length) GO

Young's Modulus

Young's Modulus=Stress/Strain GO

Young's Modulus from shear modulus Formula

Young's Modulus=2*Shear Modulus*(1+Poisson's ratio)

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Young's Modulus of porous material GO

Young's Modulus of composite in longitudinal direction GO

Young's Modulus of composite in transverse direction GO

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Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) GO

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 the Poisson's ratio. Young's Modulus and 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) and 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 -> 65 = 2*25000000000*(1+0.3).

FAQ

What is Young's Modulus from shear modulus?

Young's Modulus from shear modulus can be obtained via the 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 and 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 0.25 and 0.35.

How to calculate Young's Modulus from shear modulus?

Young's Modulus from shear modulus can be obtained via the 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) and Poisson's ratio (𝛎). With our tool, you need to enter the respective value for Shear Modulus and Poisson's ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Young's Modulus?

In this formula, Young's Modulus uses Shear Modulus and Poisson's ratio. We can use 2 other way(s) to calculate the same, which is/are as follows -

Young's Modulus=Stress/Strain
Young's Modulus=Force*Elongation/(Area*Initial length)

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