Lateral Strain using Poisson's Ratio Calculator

✖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%
✖The Longitudinal Strain is ratio of change in length to original length.ⓘ Longitudinal Strain [ε_longitudinal]			+10% -10%

✖Lateral Strain is the ratio of change in diameter to original diameter.ⓘ Lateral Strain using Poisson's Ratio [ε_L]

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Formula

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Lateral Strain using Poisson's Ratio

Formula

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

Example

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

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Lateral Strain using Poisson's Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Strain = -(Poisson's Ratio*Longitudinal Strain)
ε_L = -(𝛎*ε_longitudinal)
This formula uses 3 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Poisson's Ratio: 0.3 --> No Conversion Required
Longitudinal Strain: 0.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_L = -(𝛎*ε_longitudinal) --> -(0.3*0.2)

Evaluating ... ...

ε_L = -0.06

STEP 3: Convert Result to Output's Unit

-0.06 --> No Conversion Required

FINAL ANSWER

-0.06 <-- Lateral Strain

(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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K J Somaiya College of Engineering (K J Somaiya), Mumbai

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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)

< 7 Strain Calculators

Longitudinal Strain

Go Longitudinal Strain = Change in Length of Component/Initial Length

Compressive Strain given Compressive Stress

Go Compressive Strain = (Compressive Stress/Modulus of Elasticity)

Lateral Strain given Decrease in Breadth

Go Lateral Strain = Decrease in Breadth/Breadth of Component

Tensile Strain given Modulus of Elasticity

Go Tensile Strain = (Tensile Stress/Modulus of Elasticity)

Lateral Strain using Poisson's Ratio

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

Lateral Strain given Decrease in Depth

Go Lateral Strain = Decrease in Depth/Depth of Component

Shear Strain if Modulus of Rigidity and Shear Stress

Go Shear Strain = Shear Stress/Modulus of Rigidity

< 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)

Lateral Strain using Poisson's Ratio Formula

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

What is Lateral Strain?

Strain is the ratio of change in dimension to original dimension, Lateral strain is the strain at right angles to the direction of applied load.

What is Poisson's Ratio?

The ratio of the proportional decrease in a lateral measurement to the proportional increase in length in a sample of material that is elastically stretched.

How to Calculate Lateral Strain using Poisson's Ratio?

Lateral Strain using Poisson's Ratio calculator uses Lateral Strain = -(Poisson's Ratio*Longitudinal Strain) to calculate the Lateral Strain, The Lateral Strain using Poisson's Ratio formula is defined as the product of Poisson's ratio and longitudinal strain. Negative sign indicates that lateral strain is opposite in sign to longitudinal strain. Lateral Strain is denoted by ε_L symbol.

How to calculate Lateral Strain using Poisson's Ratio using this online calculator? To use this online calculator for Lateral Strain using Poisson's Ratio, enter Poisson's Ratio (𝛎) & Longitudinal Strain (ε_longitudinal) and hit the calculate button. Here is how the Lateral Strain using Poisson's Ratio calculation can be explained with given input values -> 0.06 = -(0.3*0.2).

FAQ

What is Lateral Strain using Poisson's Ratio?

The Lateral Strain using Poisson's Ratio formula is defined as the product of Poisson's ratio and longitudinal strain. Negative sign indicates that lateral strain is opposite in sign to longitudinal strain and is represented as ε_L = -(𝛎*ε_longitudinal) or Lateral Strain = -(Poisson's Ratio*Longitudinal Strain). 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 & The Longitudinal Strain is ratio of change in length to original length.

How to calculate Lateral Strain using Poisson's Ratio?

The Lateral Strain using Poisson's Ratio formula is defined as the product of Poisson's ratio and longitudinal strain. Negative sign indicates that lateral strain is opposite in sign to longitudinal strain is calculated using Lateral Strain = -(Poisson's Ratio*Longitudinal Strain). To calculate Lateral Strain using Poisson's Ratio, you need Poisson's Ratio (𝛎) & Longitudinal Strain (ε_longitudinal). With our tool, you need to enter the respective value for Poisson's Ratio & 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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