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Longitudinal Strain using Poisson's Ratio Formula

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

ε ln = - (\frac{ε L}{𝛎})

ε_ln - Longitudinal Strain?ε_L - Lateral Strain?𝛎 - Poisson's Ratio?

Longitudinal Strain using Poisson's Ratio Example

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Here is how the Longitudinal Strain using Poisson's Ratio equation looks like with Values.

Here is how the Longitudinal Strain using Poisson's Ratio equation looks like with Units.

Here is how the Longitudinal Strain using Poisson's Ratio equation looks like.

0.0667 = - (\frac{0.02}{-0.3})

0.0667 = - (\frac{0.02}{-0.3})

0.0667 = - (\frac{0.02}{-0.3})

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Longitudinal Strain using Poisson's Ratio Solution

Follow our step by step solution on how to calculate Longitudinal Strain using Poisson's Ratio?

FIRST Step Consider the formula

ε ln = - (\frac{ε L}{𝛎})

Next Step Substitute values of Variables

∴

ε ln = - (\frac{0.02}{-0.3})

Next Step Prepare to Evaluate

∴

ε ln = - (\frac{0.02}{-0.3})

Next Step Evaluate

∴

ε ln = 0.0666666666666667

LAST Step Rounding Answer

∴

ε ln = 0.0667

Longitudinal Strain using Poisson's Ratio Formula Elements

Variables

Longitudinal Strain

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

Symbol: ε_ln

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Longitudinal Strain

Lateral Strain

Lateral Strain is the ratio of change in diameter to original diameter.

Symbol: ε_L

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Lateral Strain

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.

Symbol: 𝛎

Measurement: NAUnit: Unitless

Note: Value should be between -1 to 0.5.

Formulas to find Poisson's Ratio

Other formulas in Longitudinal and Lateral Strain category

Go Elongation of bar given applied tensile load, area and length

∆ = P \cdot \frac{L 0}{A cs \cdot E}

Go Area of upper end of bar

A 1 = A 2 \cdot e^{w \cdot \frac{L bar}{σ}}

Go Area of lower end of bar

A 2 = \frac{A 1}{e^{w \cdot \frac{L bar}{σ}}}

Go Change in length of Tapered Bar

ΔL = (F a \cdot \frac{l}{t \cdot E \cdot (L Right - L Left)}) \cdot \frac{\ln (\frac{L Right}{L Left})}{1000000}

How to Evaluate Longitudinal Strain using Poisson's Ratio?

Longitudinal Strain using Poisson's Ratio evaluator uses Longitudinal Strain = -(Lateral Strain/Poisson's Ratio) to evaluate 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 evaluate Longitudinal Strain using Poisson's Ratio using this online evaluator? To use this online evaluator for Longitudinal Strain using Poisson's Ratio, enter Lateral Strain (ε_L) & Poisson's Ratio (𝛎) and hit the calculate button.

FAQs on Longitudinal Strain using Poisson's Ratio

What is the formula to find Longitudinal Strain using Poisson's Ratio?

The formula of Longitudinal Strain using Poisson's Ratio is expressed as Longitudinal Strain = -(Lateral Strain/Poisson's Ratio). Here is an example- -0.2 = -(0.02/(-0.3)).

How to calculate Longitudinal Strain using Poisson's Ratio?

With Lateral Strain (ε_L) & Poisson's Ratio (𝛎) we can find Longitudinal Strain using Poisson's Ratio using the formula - Longitudinal Strain = -(Lateral Strain/Poisson's Ratio).

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Longitudinal Strain using Poisson's Ratio Formula

Longitudinal Strain using Poisson's Ratio Example

Longitudinal Strain using Poisson's Ratio Solution

Longitudinal Strain using Poisson's Ratio Formula Elements

Other formulas in Longitudinal and Lateral Strain category

How to Evaluate Longitudinal Strain using Poisson's Ratio?

FAQs on Longitudinal Strain using Poisson's Ratio

Variable Name