Poisson's Ratio given Volumetric Strain and Longitudinal Strain Calculator

✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric Strain [ε_v]			+10% -10%
✖The Longitudinal Strain is ratio of change in length to original length.ⓘ Longitudinal Strain [ε_longitudinal]			+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 given Volumetric Strain and Longitudinal Strain [𝛎]

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Formula

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Poisson's Ratio given Volumetric Strain and Longitudinal Strain

Formula

`"𝛎" = 1/2*(1-"ε"_{"v"}/"ε"_{"longitudinal"})`

Example

`"0.49975"=1/2*(1-"0.0001"/"0.2")`

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Poisson's Ratio given Volumetric Strain and Longitudinal Strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain)
𝛎 = 1/2*(1-ε_v/ε_longitudinal)
This formula uses 3 Variables

Variables Used

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.
Longitudinal Strain - The Longitudinal Strain is ratio of change in length to original length.

STEP 1: Convert Input(s) to Base Unit

Volumetric Strain: 0.0001 --> No Conversion Required
Longitudinal Strain: 0.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝛎 = 1/2*(1-ε_v/ε_longitudinal) --> 1/2*(1-0.0001/0.2)

Evaluating ... ...

𝛎 = 0.49975

STEP 3: Convert Result to Output's Unit

0.49975 --> No Conversion Required

FINAL ANSWER

0.49975 <-- Poisson's Ratio

(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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NSS College of Engineering (NSSCE), Palakkad

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< 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

Poisson's Ratio given Volumetric Strain and Longitudinal Strain Formula

Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain)
𝛎 = 1/2*(1-ε_v/ε_longitudinal)

What is poisson's ratio?

Poisson’s ratio is the ratio of transverse contraction strain to longitudinal extension strain in the direction of the stretching force.

How to Calculate Poisson's Ratio given Volumetric Strain and Longitudinal Strain?

Poisson's Ratio given Volumetric Strain and Longitudinal Strain calculator uses Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain) to calculate the Poisson's Ratio, The Poisson's Ratio given Volumetric Strain and Longitudinal Strain formula is defined as half of the term (1-e/ϵ), where e is volumetric strain and ϵ is longitudinal strain. Poisson's Ratio is denoted by 𝛎 symbol.

How to calculate Poisson's Ratio given Volumetric Strain and Longitudinal Strain using this online calculator? To use this online calculator for Poisson's Ratio given Volumetric Strain and Longitudinal Strain, enter Volumetric Strain (ε_v) & Longitudinal Strain (ε_longitudinal) and hit the calculate button. Here is how the Poisson's Ratio given Volumetric Strain and Longitudinal Strain calculation can be explained with given input values -> 0.50025 = 1/2*(1-0.0001/0.2).

FAQ

What is Poisson's Ratio given Volumetric Strain and Longitudinal Strain?

The Poisson's Ratio given Volumetric Strain and Longitudinal Strain formula is defined as half of the term (1-e/ϵ), where e is volumetric strain and ϵ is longitudinal strain and is represented as 𝛎 = 1/2*(1-ε_v/ε_longitudinal) or Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain). The Volumetric Strain is the ratio of change in volume to original volume & The Longitudinal Strain is ratio of change in length to original length.

How to calculate Poisson's Ratio given Volumetric Strain and Longitudinal Strain?

The Poisson's Ratio given Volumetric Strain and Longitudinal Strain formula is defined as half of the term (1-e/ϵ), where e is volumetric strain and ϵ is longitudinal strain is calculated using Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain). To calculate Poisson's Ratio given Volumetric Strain and Longitudinal Strain, you need Volumetric Strain (ε_v) & Longitudinal Strain (ε_longitudinal). With our tool, you need to enter the respective value for Volumetric Strain & Longitudinal 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 Poisson's Ratio?

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

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

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