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_ln]

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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_ln = -(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: 0.02 --> No Conversion Required
Poisson's Ratio: -0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_ln = -(ε_L/𝛎) --> -(0.02/(-0.3))

Evaluating ... ...

ε_ln = 0.0666666666666667

STEP 3: Convert Result to Output's Unit

0.0666666666666667 --> No Conversion Required

FINAL ANSWER

0.0666666666666667 ≈ 0.066667 <-- Longitudinal Strain

(Calculation completed in 00.004 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad

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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)

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Area of upper end of bar

LaTeX Go Area of Upper End = Area of The Lower End*e^(Weight per unit volume*Length of Bar/Stress in Bar)

Area of lower end of bar

LaTeX Go Area of The Lower End = Area of Upper End/e^(Weight per unit volume*Length of Bar/Stress in Bar)

Elongation of bar given applied tensile load, area and length

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

Longitudinal Strain using Poisson's Ratio

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

Longitudinal Strain using Poisson's Ratio Formula

LaTeX Go

Longitudinal Strain = -(Lateral Strain/Poisson's Ratio)
ε_ln = -(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, Longitudinal Strain using Poisson's Ratio formula is defined as a relationship that describes how longitudinal strain in a material is influenced by its Poisson's ratio. This concept is essential in understanding the deformation behavior of materials under stress, particularly in engineering and materials science applications. Longitudinal Strain is denoted by ε_ln 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 = -(0.02/(-0.3)).

FAQ

What is Longitudinal Strain using Poisson's Ratio?

Longitudinal Strain using Poisson's Ratio formula is defined as a relationship that describes how longitudinal strain in a material is influenced by its Poisson's ratio. This concept is essential in understanding the deformation behavior of materials under stress, particularly in engineering and materials science applications and is represented as ε_ln = -(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?

Longitudinal Strain using Poisson's Ratio formula is defined as a relationship that describes how longitudinal strain in a material is influenced by its Poisson's ratio. This concept is essential in understanding the deformation behavior of materials under stress, particularly in engineering and materials science applications 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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