Young's Modulus using Modulus of Rigidity Calculator

✖The Modulus of rigidity of Bar is a measure of a material's ability to resist deformation under shear stress, indicating its stiffness and structural integrity.ⓘ Modulus of Rigidity of Bar [G]			+10% -10%
✖The Poisson's Ratio is a measure of the ratio of transverse strain to axial strain in a material when it is subjected to stress.ⓘ Poisson's Ratio [𝛎]			+10% -10%

✖The Young's Modulus Bar is a measure of the stiffness of a material, indicating how much it will deform under stress in a direct strain scenario.ⓘ Young's Modulus using Modulus of Rigidity [E]

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Young's Modulus using Modulus of Rigidity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Young's Modulus Bar - (Measured in Pascal) - The Young's Modulus Bar is a measure of the stiffness of a material, indicating how much it will deform under stress in a direct strain scenario.
Modulus of Rigidity of Bar - (Measured in Pascal) - The Modulus of rigidity of Bar is a measure of a material's ability to resist deformation under shear stress, indicating its stiffness and structural integrity.
Poisson's Ratio - The Poisson's Ratio is a measure of the ratio of transverse strain to axial strain in a material when it is subjected to stress.

STEP 1: Convert Input(s) to Base Unit

Modulus of Rigidity of Bar: 15 Megapascal --> 15000000 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*15000000*(1+0.3)

Evaluating ... ...

E = 39000000

STEP 3: Convert Result to Output's Unit

39000000 Pascal -->39 Megapascal (Check conversion here)

FINAL ANSWER

39 Megapascal <-- Young's Modulus Bar

(Calculation completed in 00.020 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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National Institute Of Technology (NIT), Hamirpur

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< Direct Strains of Diagonal Calculators

Poisson's ratio given tensile strain due to compressive stress in diagonal BD

LaTeX Go Poisson's Ratio = (Tensile Strain In Diagonal*Modulus of Elasticity Of Bar)/Permissible Tensile Stress

Total Tensile Strain in Diagonal of Square Block

LaTeX Go Tensile Strain In Diagonal = (Tensile Stress on Body/Modulus of Elasticity Of Bar)*(1+Poisson's Ratio)

Tensile strain in diagonal BD of square block ABCD due to compressive stress

LaTeX Go Tensile Strain = (Poisson's Ratio*Tensile Stress on Body)/Modulus of Elasticity Of Bar

Tensile Strain in Diagonal of Square Block due to Tensile Stress

LaTeX Go Tensile Strain = Tensile Stress on Body/Modulus of Elasticity Of Bar

Young's Modulus using Modulus of Rigidity Formula

LaTeX Go

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

What is young's modulus?

Stress is proportional to strain within elastic limits. The constant of proportionality is called young's modulus. It is the ratio of stress to strain.

How to Calculate Young's Modulus using Modulus of Rigidity?

Young's Modulus using Modulus of Rigidity calculator uses Young's Modulus Bar = 2*Modulus of Rigidity of Bar*(1+Poisson's Ratio) to calculate the Young's Modulus Bar, Young's Modulus using Modulus of Rigidity formula is defined as a relationship that describes the elasticity of a material by connecting its modulus of rigidity and Poisson's ratio. It quantifies how a material deforms under stress, providing insights into its mechanical properties and behavior under load. Young's Modulus Bar is denoted by E symbol.

How to calculate Young's Modulus using Modulus of Rigidity using this online calculator? To use this online calculator for Young's Modulus using Modulus of Rigidity, enter Modulus of Rigidity of Bar (G) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Young's Modulus using Modulus of Rigidity calculation can be explained with given input values -> 3.9E-5 = 2*15000000*(1+0.3).

FAQ

What is Young's Modulus using Modulus of Rigidity?

Young's Modulus using Modulus of Rigidity formula is defined as a relationship that describes the elasticity of a material by connecting its modulus of rigidity and Poisson's ratio. It quantifies how a material deforms under stress, providing insights into its mechanical properties and behavior under load and is represented as E = 2*G*(1+𝛎) or Young's Modulus Bar = 2*Modulus of Rigidity of Bar*(1+Poisson's Ratio). The Modulus of rigidity of Bar is a measure of a material's ability to resist deformation under shear stress, indicating its stiffness and structural integrity & The Poisson's Ratio is a measure of the ratio of transverse strain to axial strain in a material when it is subjected to stress.

How to calculate Young's Modulus using Modulus of Rigidity?

Young's Modulus using Modulus of Rigidity formula is defined as a relationship that describes the elasticity of a material by connecting its modulus of rigidity and Poisson's ratio. It quantifies how a material deforms under stress, providing insights into its mechanical properties and behavior under load is calculated using Young's Modulus Bar = 2*Modulus of Rigidity of Bar*(1+Poisson's Ratio). To calculate Young's Modulus using Modulus of Rigidity, you need Modulus of Rigidity of Bar (G) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Modulus of Rigidity of Bar & 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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