Poisson's Ratio using Modulus of Rigidity Calculator

✖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 Bar [E]			+10% -10%
✖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 using Modulus of Rigidity [𝛎]

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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 - 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.
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.

STEP 1: Convert Input(s) to Base Unit

Young's Modulus Bar: 39 Megapascal --> 39000000 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 --> (39000000/(2*15000000))-1

Evaluating ... ...

𝛎 = 0.3

STEP 3: Convert Result to Output's Unit

0.3 --> No Conversion Required

FINAL ANSWER

0.3 <-- Poisson's Ratio

(Calculation completed in 00.004 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

Poisson's Ratio using Modulus of Rigidity Formula

LaTeX Go

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, Poisson's Ratio using Modulus of Rigidity formula is defined as a measure of the relationship between lateral strain and axial strain in a material when subjected to stress. It provides insight into the material's deformation characteristics, crucial for understanding its mechanical behavior under load. 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 = (39000000/(2*15000000))-1.

FAQ

What is Poisson's Ratio using Modulus of Rigidity?

Poisson's Ratio using Modulus of Rigidity formula is defined as a measure of the relationship between lateral strain and axial strain in a material when subjected to stress. It provides insight into the material's deformation characteristics, crucial for understanding its mechanical behavior under load and is represented as 𝛎 = (E/(2*G))-1 or Poisson's Ratio = (Young's Modulus Bar/(2*Modulus of Rigidity of Bar))-1. 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 & 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.

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

Poisson's Ratio using Modulus of Rigidity formula is defined as a measure of the relationship between lateral strain and axial strain in a material when subjected to stress. It provides insight into the material's deformation characteristics, crucial for understanding its mechanical behavior under load 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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