Poisson's Ratio Calculator

✖Lateral Strain is the ratio of change in diameter to original diameter.ⓘ Lateral Strain [ε_L]			+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 [𝛎]

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Poisson's Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Poisson's Ratio = -(Lateral Strain/Longitudinal Strain)
𝛎 = -(ε_L/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.
Lateral Strain - Lateral Strain is the ratio of change in diameter to original diameter.
Longitudinal Strain - The Longitudinal Strain is ratio of change in length to original length.

STEP 1: Convert Input(s) to Base Unit

Lateral Strain: 0.02 --> No Conversion Required
Longitudinal Strain: 0.062 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝛎 = -(ε_L/ε_ln) --> -(0.02/0.062)

Evaluating ... ...

𝛎 = -0.32258064516129

STEP 3: Convert Result to Output's Unit

-0.32258064516129 --> No Conversion Required

FINAL ANSWER

-0.32258064516129 ≈ -0.322581 <-- Poisson's Ratio

(Calculation completed in 00.004 seconds)

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

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Created by Pragati Jaju

College Of Engineering (COEP), Pune

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< Longitudinal and Lateral Strain Calculators

Longitudinal Strain using Poisson's Ratio

LaTeX Go Longitudinal Strain = -(Lateral Strain/Poisson's Ratio)

Lateral Strain using Poisson's Ratio

LaTeX Go Lateral Strain = -(Poisson's Ratio*Longitudinal Strain)

Poisson's Ratio

LaTeX Go Poisson's Ratio = -(Lateral Strain/Longitudinal Strain)

< Longitudinal and Lateral Strain Calculators

Longitudinal Strain using Poisson's Ratio

LaTeX Go Longitudinal Strain = -(Lateral Strain/Poisson's Ratio)

Lateral Strain using Poisson's Ratio

LaTeX Go Lateral Strain = -(Poisson's Ratio*Longitudinal Strain)

Poisson's Ratio

LaTeX Go Poisson's Ratio = -(Lateral Strain/Longitudinal Strain)

< Mechanical Strain Calculators

Shear Strain given Tangential Displacement and Original Length

LaTeX Go Shear Strain = Tangential Displacement/Original Length

Lateral Strain

LaTeX Go Lateral Strain = Change in Diameter/Original Diameter

Tensile Strain

LaTeX Go Tension Strain = Change in Length/Length

Bulk Strain

LaTeX Go Bulk Strain = Change in Volume/Volume

Poisson's Ratio Formula

LaTeX Go

Poisson's Ratio = -(Lateral Strain/Longitudinal Strain)
𝛎 = -(ε_L/ε_ln)

What is Poisson's Ratio?

Poisson's ratio is defined as the ratio of the change in the width per unit width of a material, to the change in its length per unit length, as a result of strain.

How to Calculate Poisson's Ratio?

Poisson's Ratio calculator uses Poisson's Ratio = -(Lateral Strain/Longitudinal Strain) to calculate the Poisson's Ratio, Poisson's Ratio formula is defined as the ratio of transverse strain to longitudinal strain in a material subjected to stress. It quantifies how much a material deforms in directions perpendicular to the applied load, providing insight into its elastic behavior and stability under various conditions. Poisson's Ratio is denoted by 𝛎 symbol.

How to calculate Poisson's Ratio using this online calculator? To use this online calculator for Poisson's Ratio, enter Lateral Strain (ε_L) & Longitudinal Strain (ε_ln) and hit the calculate button. Here is how the Poisson's Ratio calculation can be explained with given input values -> 0.967742 = -(0.02/0.062).

FAQ

What is Poisson's Ratio?

Poisson's Ratio formula is defined as the ratio of transverse strain to longitudinal strain in a material subjected to stress. It quantifies how much a material deforms in directions perpendicular to the applied load, providing insight into its elastic behavior and stability under various conditions and is represented as 𝛎 = -(ε_L/ε_ln) or Poisson's Ratio = -(Lateral Strain/Longitudinal Strain). Lateral Strain is the ratio of change in diameter to original diameter & The Longitudinal Strain is ratio of change in length to original length.

How to calculate Poisson's Ratio?

Poisson's Ratio formula is defined as the ratio of transverse strain to longitudinal strain in a material subjected to stress. It quantifies how much a material deforms in directions perpendicular to the applied load, providing insight into its elastic behavior and stability under various conditions is calculated using Poisson's Ratio = -(Lateral Strain/Longitudinal Strain). To calculate Poisson's Ratio, you need Lateral Strain (ε_L) & Longitudinal Strain (ε_ln). With our tool, you need to enter the respective value for Lateral Strain & Longitudinal Strain and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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