Young's Modulus using Poisson's Ratio Calculator

✖The Tensile Stress is the external force per unit area of the material resulting in the stretch of the material.ⓘ Tensile Stress [σ_t]			+10% -10%
✖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.ⓘ Poisson's Ratio [𝛎]			+10% -10%
✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric Strain [ε_v]			+10% -10%

✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus using Poisson's Ratio [E]

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Young's Modulus using Poisson's Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's Modulus = (3*Tensile Stress*(1-2*Poisson's Ratio))/Volumetric Strain
E = (3*σ_t*(1-2*𝛎))/ε_v
This formula uses 4 Variables

Variables Used

Young's Modulus - (Measured in Pascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Tensile Stress - (Measured in Pascal) - The Tensile Stress is the external force per unit area of the material resulting in the stretch of the material.
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.
Volumetric Strain - The Volumetric Strain is the ratio of change in volume to original volume.

STEP 1: Convert Input(s) to Base Unit

Tensile Stress: 16.6 Megapascal --> 16600000 Pascal (Check conversion here)
Poisson's Ratio: -0.3 --> No Conversion Required
Volumetric Strain: 0.0001 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (3*σ_t*(1-2*𝛎))/ε_v --> (3*16600000*(1-2*(-0.3)))/0.0001

Evaluating ... ...

E = 796800000000

STEP 3: Convert Result to Output's Unit

796800000000 Pascal -->796800 Megapascal (Check conversion here)

FINAL ANSWER

796800 Megapascal <-- Young's Modulus

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Elastic Constants » Mechanical » Volumetric Strain » Young's Modulus using Poisson's Ratio

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Young's Modulus using Bulk Modulus

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Direct Stress for given Bulk Modulus and Volumetric Strain

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Young's Modulus using Poisson's Ratio Formula

LaTeX Go

Young's Modulus = (3*Tensile Stress*(1-2*Poisson's Ratio))/Volumetric Strain
E = (3*σ_t*(1-2*𝛎))/ε_v

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 Poisson's Ratio?

Young's Modulus using Poisson's Ratio calculator uses Young's Modulus = (3*Tensile Stress*(1-2*Poisson's Ratio))/Volumetric Strain to calculate the Young's Modulus, Young's Modulus using Poisson's Ratio formula is defined as a relationship that describes the elasticity of materials by relating tensile stress to volumetric strain, incorporating Poisson's ratio. It provides insight into how materials deform under stress, which is crucial for engineering and material science applications. Young's Modulus is denoted by E symbol.

How to calculate Young's Modulus using Poisson's Ratio using this online calculator? To use this online calculator for Young's Modulus using Poisson's Ratio, enter Tensile Stress (σ_t), Poisson's Ratio (𝛎) & Volumetric Strain (ε_v) and hit the calculate button. Here is how the Young's Modulus using Poisson's Ratio calculation can be explained with given input values -> 0.7968 = (3*16600000*(1-2*(-0.3)))/0.0001.

FAQ

What is Young's Modulus using Poisson's Ratio?

Young's Modulus using Poisson's Ratio formula is defined as a relationship that describes the elasticity of materials by relating tensile stress to volumetric strain, incorporating Poisson's ratio. It provides insight into how materials deform under stress, which is crucial for engineering and material science applications and is represented as E = (3*σ_t*(1-2*𝛎))/ε_v or Young's Modulus = (3*Tensile Stress*(1-2*Poisson's Ratio))/Volumetric Strain. The Tensile Stress is the external force per unit area of the material resulting in the stretch of the material, 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 & The Volumetric Strain is the ratio of change in volume to original volume.

How to calculate Young's Modulus using Poisson's Ratio?

Young's Modulus using Poisson's Ratio formula is defined as a relationship that describes the elasticity of materials by relating tensile stress to volumetric strain, incorporating Poisson's ratio. It provides insight into how materials deform under stress, which is crucial for engineering and material science applications is calculated using Young's Modulus = (3*Tensile Stress*(1-2*Poisson's Ratio))/Volumetric Strain. To calculate Young's Modulus using Poisson's Ratio, you need Tensile Stress (σ_t), Poisson's Ratio (𝛎) & Volumetric Strain (ε_v). With our tool, you need to enter the respective value for Tensile Stress, Poisson's Ratio & Volumetric Strain 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 Young's Modulus?

In this formula, Young's Modulus uses Tensile Stress, Poisson's Ratio & Volumetric Strain. We can use 3 other way(s) to calculate the same, which is/are as follows -

Young's Modulus = 3*Bulk Modulus*(1-2*Poisson's Ratio)
Young's Modulus = 3*Bulk Modulus*(1-2*Poisson's Ratio)
Young's Modulus = 3*Bulk Modulus*(1-2*Poisson's Ratio)

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