Volumetric Strain using Young's Modulus and 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%
✖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 [E]			+10% -10%

✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric Strain using Young's Modulus and Poisson's Ratio [ε_v]

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Volumetric Strain using Young's Modulus and Poisson's Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Volumetric Strain - The Volumetric Strain is the ratio of change in volume to original volume.
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.
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.

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
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_v = (3*σ_t*(1-2*𝛎))/E --> (3*16600000*(1-2*(-0.3)))/20000000000

Evaluating ... ...

ε_v = 0.003984

STEP 3: Convert Result to Output's Unit

0.003984 --> No Conversion Required

FINAL ANSWER

0.003984 <-- Volumetric Strain

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Elastic Constants » Mechanical » Volumetric Strain » Volumetric Strain using Young's Modulus and 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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LaTeX Go Longitudinal Strain = Volumetric Strain-(2*Lateral Strain)

Volumetric Strain given Longitudinal and Lateral Strain

LaTeX Go Volumetric Strain = Longitudinal Strain+2*Lateral Strain

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LaTeX Go Bulk Modulus = Direct Stress/Volumetric Strain

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< Volumetric Strain Calculators

Lateral Strain given Volumetric and Longitudinal Strain

LaTeX Go Lateral Strain = -(Longitudinal Strain-Volumetric Strain)/2

Bulk Modulus using Young's Modulus

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

Direct Stress for given Bulk Modulus and Volumetric Strain

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Bulk Modulus given Direct Stress

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Volumetric Strain using Young's Modulus and Poisson's Ratio Formula

LaTeX Go

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

What is volumetric strain?

The volumetric strain is the ratio of the change in volume of the body to the original volume. It is a unitless quantity.

How to Calculate Volumetric Strain using Young's Modulus and Poisson's Ratio?

Volumetric Strain using Young's Modulus and Poisson's Ratio calculator uses Volumetric Strain = (3*Tensile Stress*(1-2*Poisson's Ratio))/Young's Modulus to calculate the Volumetric Strain, Volumetric Strain using Young's Modulus and Poisson's Ratio formula is defined as a relationship that describes how a material deforms in volume under applied stress, taking into account its elastic properties and the interplay between longitudinal and lateral strains. It is essential in understanding material behavior under load. Volumetric Strain is denoted by ε_v symbol.

How to calculate Volumetric Strain using Young's Modulus and Poisson's Ratio using this online calculator? To use this online calculator for Volumetric Strain using Young's Modulus and Poisson's Ratio, enter Tensile Stress (σ_t), Poisson's Ratio (𝛎) & Young's Modulus (E) and hit the calculate button. Here is how the Volumetric Strain using Young's Modulus and Poisson's Ratio calculation can be explained with given input values -> 0.003984 = (3*16600000*(1-2*(-0.3)))/20000000000.

FAQ

What is Volumetric Strain using Young's Modulus and Poisson's Ratio?

Volumetric Strain using Young's Modulus and Poisson's Ratio formula is defined as a relationship that describes how a material deforms in volume under applied stress, taking into account its elastic properties and the interplay between longitudinal and lateral strains. It is essential in understanding material behavior under load and is represented as ε_v = (3*σ_t*(1-2*𝛎))/E or Volumetric Strain = (3*Tensile Stress*(1-2*Poisson's Ratio))/Young's Modulus. 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 & Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

How to calculate Volumetric Strain using Young's Modulus and Poisson's Ratio?

Volumetric Strain using Young's Modulus and Poisson's Ratio formula is defined as a relationship that describes how a material deforms in volume under applied stress, taking into account its elastic properties and the interplay between longitudinal and lateral strains. It is essential in understanding material behavior under load is calculated using Volumetric Strain = (3*Tensile Stress*(1-2*Poisson's Ratio))/Young's Modulus. To calculate Volumetric Strain using Young's Modulus and Poisson's Ratio, you need Tensile Stress (σ_t), Poisson's Ratio (𝛎) & Young's Modulus (E). With our tool, you need to enter the respective value for Tensile Stress, Poisson's Ratio & Young's Modulus 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 Volumetric Strain?

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

Volumetric Strain = Change in Length/Length of Section+Change in Breadth/Breadth of Bar+Change in Depth/Depth of Bar
Volumetric Strain = Longitudinal Strain+2*Lateral Strain
Volumetric Strain = Direct Stress/Bulk Modulus

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