Modulus of Rigidity using Young's Modulus and Poisson's Ratio 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 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 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 using Young's Modulus and Poisson's Ratio [G]

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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) - 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.
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.
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

Young's Modulus Bar: 39 Megapascal --> 39000000 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)) --> 39000000/(2*(1+0.3))

Evaluating ... ...

G = 15000000

STEP 3: Convert Result to Output's Unit

15000000 Pascal -->15 Megapascal (Check conversion here)

FINAL ANSWER

15 Megapascal <-- Modulus of Rigidity of 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

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

LaTeX Go

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, Modulus of Rigidity using Young's Modulus and Poisson's Ratio formula is defined as a relationship that describes the material's ability to resist shear deformation. It connects the shear modulus to Young's modulus and Poisson's ratio, providing insight into the mechanical properties of materials under stress. 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 = 39000000/(2*(1+0.3)).

FAQ

What is Modulus of Rigidity using Young's Modulus and Poisson's Ratio?

Modulus of Rigidity using Young's Modulus and Poisson's Ratio formula is defined as a relationship that describes the material's ability to resist shear deformation. It connects the shear modulus to Young's modulus and Poisson's ratio, providing insight into the mechanical properties of materials under stress and is represented as G = E/(2*(1+𝛎)) or Modulus of Rigidity of Bar = Young's Modulus Bar/(2*(1+Poisson's Ratio)). 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 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 Modulus of Rigidity using Young's Modulus and Poisson's Ratio?

Modulus of Rigidity using Young's Modulus and Poisson's Ratio formula is defined as a relationship that describes the material's ability to resist shear deformation. It connects the shear modulus to Young's modulus and Poisson's ratio, providing insight into the mechanical properties of materials under stress 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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