Modulus of Rigidity using Young's Modulus and Poisson's Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Modulus of rigidity Of Bar = Young's Modulus Bar/(2*(1+Poisson's Ratio))
G = E/(2*(1+𝛎))
This formula uses 3 Variables
Variables Used
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.
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.
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
Young's Modulus Bar: 0.023 Megapascal --> 23000 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
G = E/(2*(1+𝛎)) --> 23000/(2*(1+0.3))
Evaluating ... ...
G = 8846.15384615385
STEP 3: Convert Result to Output's Unit
8846.15384615385 Pascal -->0.00884615384615385 Megapascal (Check conversion here)
FINAL ANSWER
0.00884615384615385 0.008846 Megapascal <-- Modulus of rigidity Of Bar
(Calculation completed in 00.020 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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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)

Modulus of Rigidity using Young's Modulus and Poisson's Ratio Formula

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

What is modulus of rigidity?

Shear stress is proportional to shear strain. The constant of proportionality is called modulus of rigidity. It is the ratio of shear stress to shear strain.

How to Calculate Modulus of Rigidity using Young's Modulus and Poisson's Ratio?

Modulus of Rigidity using Young's Modulus and Poisson's Ratio calculator uses Modulus of rigidity Of Bar = Young's Modulus Bar/(2*(1+Poisson's Ratio)) to calculate the Modulus of rigidity Of Bar, The Modulus of Rigidity using Young's Modulus and Poisson's Ratio can be calculated by dividing the young modulus by twice the value of term one plus poisson's ratio. Modulus of rigidity Of Bar is denoted by G symbol.

How to calculate Modulus of Rigidity using Young's Modulus and Poisson's Ratio using this online calculator? To use this online calculator for Modulus of Rigidity using Young's Modulus and Poisson's Ratio, enter Young's Modulus Bar (E) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Modulus of Rigidity using Young's Modulus and Poisson's Ratio calculation can be explained with given input values -> 8.8E-9 = 23000/(2*(1+0.3)).

FAQ

What is Modulus of Rigidity using Young's Modulus and Poisson's Ratio?
The Modulus of Rigidity using Young's Modulus and Poisson's Ratio can be calculated by dividing the young modulus by twice the value of term one plus poisson's ratio and is represented as G = E/(2*(1+𝛎)) or Modulus of rigidity Of Bar = Young's Modulus Bar/(2*(1+Poisson's Ratio)). Young's Modulus Bar is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain & 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 Modulus of Rigidity using Young's Modulus and Poisson's Ratio?
The Modulus of Rigidity using Young's Modulus and Poisson's Ratio can be calculated by dividing the young modulus by twice the value of term one plus poisson's ratio is calculated using Modulus of rigidity Of Bar = Young's Modulus Bar/(2*(1+Poisson's Ratio)). To calculate Modulus of Rigidity using Young's Modulus and Poisson's Ratio, you need Young's Modulus Bar (E) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Young's Modulus 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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