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_ln]			+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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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_ln)
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: 0.062 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝛎 = 1/2*(1-ε_v/ε_ln) --> 1/2*(1-0.0001/0.062)

Evaluating ... ...

𝛎 = 0.499193548387097

STEP 3: Convert Result to Output's Unit

0.499193548387097 --> No Conversion Required

FINAL ANSWER

0.499193548387097 ≈ 0.499194 <-- Poisson's Ratio

(Calculation completed in 00.006 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Elastic Constants » Mechanical » Volumetric Strain » Poisson's Ratio given Volumetric Strain and Longitudinal Strain

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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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Poisson's Ratio given Volumetric Strain and Longitudinal Strain Formula

LaTeX Go

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

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, Poisson's Ratio given Volumetric Strain and Longitudinal Strain formula is defined as a measure of the relationship between volumetric strain and longitudinal strain in materials. It quantifies how a material deforms in directions perpendicular to the applied load, providing insight into its elastic properties. 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_ln) 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 -> 0.499194 = 1/2*(1-0.0001/0.062).

FAQ

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

Poisson's Ratio given Volumetric Strain and Longitudinal Strain formula is defined as a measure of the relationship between volumetric strain and longitudinal strain in materials. It quantifies how a material deforms in directions perpendicular to the applied load, providing insight into its elastic properties and is represented as 𝛎 = 1/2*(1-ε_v/ε_ln) 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?

Poisson's Ratio given Volumetric Strain and Longitudinal Strain formula is defined as a measure of the relationship between volumetric strain and longitudinal strain in materials. It quantifies how a material deforms in directions perpendicular to the applied load, providing insight into its elastic properties 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_ln). 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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