Poisson's Ratio using Modulus of Rigidity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Poisson's Ratio = (Young's Modulus Bar/(2*Modulus of rigidity Of Bar))-1
𝛎 = (E/(2*G))-1
This formula uses 3 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Young's Modulus Bar: 0.023 Megapascal --> 23000 Pascal (Check conversion here)
Modulus of rigidity Of Bar: 15 Megapascal --> 15000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝛎 = (E/(2*G))-1 --> (23000/(2*15000000))-1
Evaluating ... ...
𝛎 = -0.999233333333333
STEP 3: Convert Result to Output's Unit
-0.999233333333333 --> No Conversion Required
FINAL ANSWER
-0.999233333333333 -0.999233 <-- Poisson's Ratio
(Calculation completed in 00.004 seconds)

Credits

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

Poisson's Ratio using Modulus of Rigidity Formula

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

What is Poisson's ratio?

Poisson's Ratio is the ratio of lateral strain to longitudinal strain. It ranges from 0.1 to 0.45. It is a unitless quantity.

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

Poisson's Ratio using Modulus of Rigidity calculator uses Poisson's Ratio = (Young's Modulus Bar/(2*Modulus of rigidity Of Bar))-1 to calculate the Poisson's Ratio, The Poisson's Ratio using Modulus of Rigidity can be expressed as one subtracted from the ratio of young modulus to twice the value of rigidity modulus. Poisson's Ratio is denoted by 𝛎 symbol.

How to calculate Poisson's Ratio using Modulus of Rigidity using this online calculator? To use this online calculator for Poisson's Ratio using Modulus of Rigidity, enter Young's Modulus Bar (E) & Modulus of rigidity Of Bar (G) and hit the calculate button. Here is how the Poisson's Ratio using Modulus of Rigidity calculation can be explained with given input values -> -0.999233 = (23000/(2*15000000))-1.

FAQ

What is Poisson's Ratio using Modulus of Rigidity?
The Poisson's Ratio using Modulus of Rigidity can be expressed as one subtracted from the ratio of young modulus to twice the value of rigidity modulus and is represented as 𝛎 = (E/(2*G))-1 or Poisson's Ratio = (Young's Modulus Bar/(2*Modulus of rigidity Of Bar))-1. 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 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.
How to calculate Poisson's Ratio using Modulus of Rigidity?
The Poisson's Ratio using Modulus of Rigidity can be expressed as one subtracted from the ratio of young modulus to twice the value of rigidity modulus is calculated using Poisson's Ratio = (Young's Modulus Bar/(2*Modulus of rigidity Of Bar))-1. To calculate Poisson's Ratio using Modulus of Rigidity, you need Young's Modulus Bar (E) & Modulus of rigidity Of Bar (G). With our tool, you need to enter the respective value for Young's Modulus Bar & Modulus of rigidity Of Bar 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 Poisson's Ratio?
In this formula, Poisson's Ratio uses Young's Modulus Bar & Modulus of rigidity Of Bar. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Poisson's Ratio = (Tensile Strain In Diagonal*Modulus of Elasticity Of Bar)/Permissible Tensile Stress
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