✖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_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 [𝛎]

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Formula

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Poisson's Ratio

Formula

`"𝛎" = -("ε"_{"L"}/"ε"_{"longitudinal"})`

Example

`"0.3"=-("-0.06"/"0.2")`

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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_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.
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: -0.06 --> No Conversion Required
Longitudinal Strain: 0.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝛎 = -(ε_L/ε_longitudinal) --> -((-0.06)/0.2)

Evaluating ... ...

𝛎 = 0.3

STEP 3: Convert Result to Output's Unit

0.3 --> No Conversion Required

FINAL ANSWER

0.3 <-- 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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< 3 Longitudinal and Lateral Strain Calculators

Longitudinal Strain using Poisson's Ratio

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

Lateral Strain using Poisson's Ratio

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

Poisson's Ratio

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

< 3 Longitudinal and Lateral Strain Calculators

Longitudinal Strain using Poisson's Ratio

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

Lateral Strain using Poisson's Ratio

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

Poisson's Ratio

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

< 7 Mechanical Strain Calculators

Shear Strain

Go Shear Strain = tan(Shear Angle Metal)+cot(Shear Angle Metal-Rake Angle)

Poisson's Ratio

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

Shear Strain given Tangential Displacement and Original Length

Go Shear Strain = Tangential Displacement/Initial Length

Lateral Strain

Go Lateral Strain = Change in Diameter/Original Diameter

Volumetric Strain

Go Volumetric Strain = Change in Volume/Volume

Tensile Strain

Go Tension Strain = Change in Length/Length

Bulk Strain

Go Bulk Strain = Change in Volume/Volume

Poisson's Ratio Formula

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

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, The Poisson's ratio formula is defined as a measure of the Poisson effect, the deformation (expansion or contraction) of a material in directions perpendicular to the specific direction of loading. 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_longitudinal) and hit the calculate button. Here is how the Poisson's Ratio calculation can be explained with given input values -> 0.3 = -((-0.06)/0.2).

FAQ

What is Poisson's Ratio?

The Poisson's ratio formula is defined as a measure of the Poisson effect, the deformation (expansion or contraction) of a material in directions perpendicular to the specific direction of loading and is represented as 𝛎 = -(ε_L/ε_longitudinal) 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?

The Poisson's ratio formula is defined as a measure of the Poisson effect, the deformation (expansion or contraction) of a material in directions perpendicular to the specific direction of loading is calculated using Poisson's Ratio = -(Lateral Strain/Longitudinal Strain). To calculate Poisson's Ratio, you need Lateral Strain (ε_L) & Longitudinal Strain (ε_longitudinal). 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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