Longitudinal Strain using Poisson's Ratio Calculator

✖Lateral Strain is the ratio of change in diameter to original diameter.ⓘ Lateral Strain [ε_L]			+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]			+10% -10%

✖The Longitudinal Strain is ratio of change in length to original length.ⓘ Longitudinal Strain using Poisson's Ratio [ε_longitudinal]

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Formula

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Longitudinal Strain using Poisson's Ratio

Formula

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

Example

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

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Longitudinal Strain using Poisson's Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Lateral Strain: -0.06 --> No Conversion Required
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_longitudinal = -(ε_L/𝛎) --> -((-0.06)/0.3)

Evaluating ... ...

ε_longitudinal = 0.2

STEP 3: Convert Result to Output's Unit

0.2 --> No Conversion Required

FINAL ANSWER

0.2 <-- Longitudinal Strain

(Calculation completed in 00.004 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad

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< 2 Analysis of Bar Calculators

Elongation of bar given applied tensile load, area and length

Go Elongation = Axial Force*Initial Length/(Area of Cross-Section*Young's Modulus Bar)

Longitudinal Strain using Poisson's Ratio

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

< 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)

Longitudinal Strain using Poisson's Ratio Formula

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

What is Longitudinal Strain?

When a body is subjected to axial load then longitudinal strain produced in the body is the ratio of axial deformation to the original length of the body.

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 Longitudinal Strain using Poisson's Ratio?

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

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

FAQ

What is Longitudinal Strain using Poisson's Ratio?

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

How to calculate Longitudinal Strain using Poisson's Ratio?

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