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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Formula

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

Formula

`"ε"_{"v"} = (3*"σ"_{"t"}*(1-2*"𝛎"))/"E"`

Example

`"0.000996"=(3*"16.6MPa"*(1-2*"0.3"))/"20000MPa"`

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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 = 0.000996

STEP 3: Convert Result to Output's Unit

0.000996 --> No Conversion Required

FINAL ANSWER

0.000996 <-- Volumetric Strain

(Calculation completed in 00.004 seconds)

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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

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 17 Volumetric Strain Calculators

Volumetric Strain given Change in Length, Breadth and Width

Go Volumetric Strain = Change in Length/Length of Section+Change in Breadth/Breadth of Bar+Change in Depth/Depth of Bar

Volumetric Strain given Change in Length

Go Volumetric Strain = (Change in Length /Length of Section)*(1-2*Poisson's Ratio)

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

Go Volumetric Strain = (3*Tensile Stress*(1-2*Poisson's Ratio))/Young's Modulus

Young's Modulus using Poisson's Ratio

Go Young's Modulus = (3*Tensile Stress*(1-2*Poisson's Ratio))/Volumetric Strain

Poisson's Ratio using Bulk Modulus and Young's Modulus

Go Poisson's Ratio = (3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus)

Poisson's Ratio given Volumetric Strain and Longitudinal Strain

Go Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain)

Longitudinal Strain given Volumetric Strain and Poisson's Ratio

Go Longitudinal Strain = Volumetric Strain/(1-2*Poisson's Ratio)

Volumetric Strain of Cylindrical Rod using Poisson's Ratio

Go Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio)

Lateral Strain given Volumetric and Longitudinal Strain

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

Longitudinal Strain given Volumetric and Lateral Strain

Go Longitudinal Strain = Volumetric Strain-(2*Lateral Strain)

Volumetric Strain of Cylindrical Rod

Go Volumetric Strain = Longitudinal Strain-2*(Lateral Strain)

Volumetric Strain given Longitudinal and Lateral Strain

Go Volumetric Strain = Longitudinal Strain+2*Lateral Strain

Bulk Modulus using Young's Modulus

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

Young's Modulus using Bulk Modulus

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

Direct Stress for given Bulk Modulus and Volumetric Strain

Go Direct Stress = Bulk Modulus*Volumetric Strain

Volumetric Strain given Bulk Modulus

Go Volumetric Strain = Direct Stress/Bulk Modulus

Bulk Modulus given Direct Stress

Go Bulk Modulus = Direct Stress/Volumetric Strain

< 19 Compression Calculators

Volumetric Strain given Change in Length, Breadth and Width

Go Volumetric Strain = Change in Length/Length of Section+Change in Breadth/Breadth of Bar+Change in Depth/Depth of Bar

28-Day Concrete Compressive Strength

Go 28 Day Compressive Strength of Concrete = 7 Day Compressive Strength+(30*sqrt(7 Day Compressive Strength))

Volumetric Strain given Change in Length

Go Volumetric Strain = (Change in Length /Length of Section)*(1-2*Poisson's Ratio)

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

Go Volumetric Strain = (3*Tensile Stress*(1-2*Poisson's Ratio))/Young's Modulus

Poisson's Ratio using Bulk Modulus and Young's Modulus

Go Poisson's Ratio = (3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus)

Poisson's Ratio given Volumetric Strain and Longitudinal Strain

Go Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain)

Longitudinal Strain given Volumetric Strain and Poisson's Ratio

Go Longitudinal Strain = Volumetric Strain/(1-2*Poisson's Ratio)

Volumetric Strain of Cylindrical Rod using Poisson's Ratio

Go Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio)

Lateral Strain given Volumetric and Longitudinal Strain

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

Longitudinal Strain given Volumetric and Lateral Strain

Go Longitudinal Strain = Volumetric Strain-(2*Lateral Strain)

Volumetric Strain of Cylindrical Rod

Go Volumetric Strain = Longitudinal Strain-2*(Lateral Strain)

Volumetric Strain given Longitudinal and Lateral Strain

Go Volumetric Strain = Longitudinal Strain+2*Lateral Strain

Bulk Modulus using Young's Modulus

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

Modulus of Rupture of Concrete

Go Modulus of Rupture of Concrete = 7.5*((Characteristic Compressive Strength)^(1/2))

Direct Stress for given Bulk Modulus and Volumetric Strain

Go Direct Stress = Bulk Modulus*Volumetric Strain

Volumetric Strain given Bulk Modulus

Go Volumetric Strain = Direct Stress/Bulk Modulus

Bulk Modulus given Direct Stress

Go Bulk Modulus = Direct Stress/Volumetric Strain

28-Day Concrete Compressive Strength given Water Cement Ratio

Go 28 Day Compressive Strength of Concrete = (2700*Water Cement Ratio)-760

Water Cement Ratio given 28-Day Concrete Compressive Strength

Go Water Cement Ratio = (28 Day Compressive Strength of Concrete+760)/2700

< 17 Volumetric Strain Calculators

Volumetric Strain given Change in Length, Breadth and Width

Go Volumetric Strain = Change in Length/Length of Section+Change in Breadth/Breadth of Bar+Change in Depth/Depth of Bar

Volumetric Strain given Change in Length

Go Volumetric Strain = (Change in Length /Length of Section)*(1-2*Poisson's Ratio)

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

Go Volumetric Strain = (3*Tensile Stress*(1-2*Poisson's Ratio))/Young's Modulus

Young's Modulus using Poisson's Ratio

Go Young's Modulus = (3*Tensile Stress*(1-2*Poisson's Ratio))/Volumetric Strain

Poisson's Ratio using Bulk Modulus and Young's Modulus

Go Poisson's Ratio = (3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus)

Poisson's Ratio given Volumetric Strain and Longitudinal Strain

Go Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain)

Longitudinal Strain given Volumetric Strain and Poisson's Ratio

Go Longitudinal Strain = Volumetric Strain/(1-2*Poisson's Ratio)

Volumetric Strain of Cylindrical Rod using Poisson's Ratio

Go Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio)

Lateral Strain given Volumetric and Longitudinal Strain

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

Longitudinal Strain given Volumetric and Lateral Strain

Go Longitudinal Strain = Volumetric Strain-(2*Lateral Strain)

Volumetric Strain of Cylindrical Rod

Go Volumetric Strain = Longitudinal Strain-2*(Lateral Strain)

Volumetric Strain given Longitudinal and Lateral Strain

Go Volumetric Strain = Longitudinal Strain+2*Lateral Strain

Bulk Modulus using Young's Modulus

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

Young's Modulus using Bulk Modulus

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

Direct Stress for given Bulk Modulus and Volumetric Strain

Go Direct Stress = Bulk Modulus*Volumetric Strain

Volumetric Strain given Bulk Modulus

Go Volumetric Strain = Direct Stress/Bulk Modulus

Bulk Modulus given Direct Stress

Go Bulk Modulus = Direct Stress/Volumetric Strain

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

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, The Volumetric Strain using Young's Modulus and Poisson's Ratio formula is defined as three times the ratio of tensile stress to Young's Modulus multiplied by the term one minus twice Poisson's ratio. 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 -> 0.000996 = (3*16600000*(1-2*0.3))/20000000000.

FAQ

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

The Volumetric Strain using Young's Modulus and Poisson's Ratio formula is defined as three times the ratio of tensile stress to Young's Modulus multiplied by the term one minus twice Poisson's ratio 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?

The Volumetric Strain using Young's Modulus and Poisson's Ratio formula is defined as three times the ratio of tensile stress to Young's Modulus multiplied by the term one minus twice Poisson's ratio 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 18 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
Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio)
Volumetric Strain = (Change in Length /Length of Section)*(1-2*Poisson's Ratio)
Volumetric Strain = Longitudinal Strain-2*(Lateral Strain)
Volumetric Strain = Direct Stress/Bulk Modulus
Volumetric Strain = (Change in Length /Length of Section)*(1-2*Poisson's Ratio)
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 = Longitudinal Strain*(1-2*Poisson's Ratio)
Volumetric Strain = Longitudinal Strain-2*(Lateral Strain)
Volumetric Strain = Direct Stress/Bulk Modulus
Volumetric Strain = (Change in Length /Length of Section)*(1-2*Poisson's Ratio)
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 = Longitudinal Strain*(1-2*Poisson's Ratio)
Volumetric Strain = Longitudinal Strain-2*(Lateral Strain)

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