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) - Young's Modulus Bar is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Modulus of rigidity Of Bar - (Measured in Pascal) - Modulus of rigidity of Bar is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.
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
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 00.004 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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11 Direct Strains of Diagonal Calculators

Poisson's ratio given tensile strain due to compressive stress in diagonal BD
Go Poisson's Ratio = (Tensile Strain In Diagonal*Modulus of Elasticity Of Bar)/Permissible Tensile Stress
Total Compressive Strain in Diagonal AC of Square Block ABCD
Go Tensile Strain In Diagonal = (Tensile Stress on Body/Modulus of Elasticity Of Bar)*(1+Poisson's Ratio)
Total Tensile Strain in Diagonal of Square Block
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
Go Tensile Strain = (Poisson's Ratio*Tensile Stress on Body)/Modulus of Elasticity Of Bar
Total tensile strain in diagonal BD of square block ABCD given modulus of rigidity
Go Tensile Strain In Diagonal = Shear Stress in body/(2*Modulus of rigidity Of Bar)
Modulus of Rigidity using Young's Modulus and Poisson's Ratio
Go Modulus of rigidity Of Bar = Young's Modulus Bar/(2*(1+Poisson's Ratio))
Poisson's Ratio using Modulus of Rigidity
Go Poisson's Ratio = (Young's Modulus Bar/(2*Modulus of rigidity Of Bar))-1
Young's Modulus using Modulus of Rigidity
Go Young's Modulus Bar = 2*Modulus of rigidity Of Bar*(1+Poisson's Ratio)
Tensile Strain in Diagonal of Square Block due to Tensile Stress
Go Tensile Strain = Tensile Stress on Body/Modulus of Elasticity Of Bar
Tensile Strain in Diagonal given Shear Strain for Square Block
Go Tensile Strain In Diagonal = (Shear Strain/2)
Shear Strain in Diagonal given Tensile Strain for Square Block
Go Shear Strain = (2*Tensile Strain In Diagonal)

Young's Modulus using Modulus of Rigidity Formula

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 can be expressed as the product of twice the value of modulus of rigidity and the term one plus Poisson's ratio. 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 can be expressed as the product of twice the value of modulus of rigidity and the term one plus Poisson's ratio and is represented as E = 2*G*(1+𝛎) or Young's Modulus Bar = 2*Modulus of rigidity Of Bar*(1+Poisson's Ratio). Modulus of rigidity of Bar is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is & 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 using Modulus of Rigidity?
Young's Modulus using Modulus of Rigidity can be expressed as the product of twice the value of modulus of rigidity and the term one plus Poisson's ratio 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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