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Longitudinal Strain given Volumetric Strain and Poisson's Ratio Formula

GoLongitudinal Strain given Volumetric and Lateral Strain Formula

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

ε ln = \frac{ε v}{1 - 2 \cdot 𝛎}

ε_ln - Longitudinal Strain?ε_v - Volumetric Strain?𝛎 - Poisson's Ratio?

Longitudinal Strain given Volumetric Strain and Poisson's Ratio Example

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

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

Here is how the Longitudinal Strain given Volumetric Strain and Poisson's Ratio equation looks like.

6.3E-5 = \frac{0.0001}{1 - 2 \cdot -0.3}

6.3E-5 = \frac{0.0001}{1 - 2 \cdot -0.3}

6.3E-5 = \frac{0.0001}{1 - 2 \cdot -0.3}

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Longitudinal Strain given Volumetric Strain and Poisson's Ratio Solution

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

FIRST Step Consider the formula

ε ln = \frac{ε v}{1 - 2 \cdot 𝛎}

Next Step Substitute values of Variables

∴

ε ln = \frac{0.0001}{1 - 2 \cdot -0.3}

Next Step Prepare to Evaluate

∴

ε ln = \frac{0.0001}{1 - 2 \cdot -0.3}

Next Step Evaluate

∴

ε ln = 6.25E-05

LAST Step Rounding Answer

∴

ε ln = 6.3E-5

Longitudinal Strain given Volumetric Strain and 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

Volumetric Strain

The Volumetric Strain is the ratio of change in volume to original volume.

Symbol: ε_v

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Volumetric 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 to find Longitudinal Strain

Go Longitudinal Strain given Volumetric and Lateral Strain

ε ln = ε v - (2 \cdot ε L)

Other formulas in Volumetric Strain category

Go Bulk Modulus given Direct Stress

K = \frac{σ}{ε v}

Go Bulk Modulus using Young's Modulus

K = \frac{E}{3 \cdot (1 - 2 \cdot 𝛎)}

Go Direct Stress for given Bulk Modulus and Volumetric Strain

σ = K \cdot ε v

Go Lateral Strain given Volumetric and Longitudinal Strain

ε L = - \frac{ε ln - ε v}{2}

How to Evaluate Longitudinal Strain given Volumetric Strain and Poisson's Ratio?

Longitudinal Strain given Volumetric Strain and Poisson's Ratio evaluator uses Longitudinal Strain = Volumetric Strain/(1-2*Poisson's Ratio) to evaluate the Longitudinal Strain, Longitudinal Strain given Volumetric Strain and Poisson's Ratio formula is defined as a relationship that describes how longitudinal strain in a material can be derived from its volumetric strain and Poisson's ratio, reflecting the material's response to deformation under stress. Longitudinal Strain is denoted by ε_ln symbol.

How to evaluate Longitudinal Strain given Volumetric Strain and Poisson's Ratio using this online evaluator? To use this online evaluator for Longitudinal Strain given Volumetric Strain and Poisson's Ratio, enter Volumetric Strain (ε_v) & Poisson's Ratio (𝛎) and hit the calculate button.

FAQs on Longitudinal Strain given Volumetric Strain and Poisson's Ratio

What is the formula to find Longitudinal Strain given Volumetric Strain and Poisson's Ratio?

The formula of Longitudinal Strain given Volumetric Strain and Poisson's Ratio is expressed as Longitudinal Strain = Volumetric Strain/(1-2*Poisson's Ratio). Here is an example- 6.3E-5 = 0.0001/(1-2*(-0.3)).

How to calculate Longitudinal Strain given Volumetric Strain and Poisson's Ratio?

With Volumetric Strain (ε_v) & Poisson's Ratio (𝛎) we can find Longitudinal Strain given Volumetric Strain and Poisson's Ratio using the formula - Longitudinal Strain = Volumetric Strain/(1-2*Poisson's Ratio).

What are the other ways to Calculate Longitudinal Strain?

Here are the different ways to Calculate Longitudinal Strain-

Longitudinal Strain=Volumetric Strain-(2*Lateral Strain)

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Longitudinal Strain given Volumetric Strain and Poisson's Ratio Formula

​GoLongitudinal Strain given Volumetric and Lateral Strain Formula

Longitudinal Strain given Volumetric Strain and Poisson's Ratio Example

Longitudinal Strain given Volumetric Strain and Poisson's Ratio Solution

Longitudinal Strain given Volumetric Strain and Poisson's Ratio Formula Elements

Other Formulas to find Longitudinal Strain

Other formulas in Volumetric Strain category

How to Evaluate Longitudinal Strain given Volumetric Strain and Poisson's Ratio?

FAQs on Longitudinal Strain given Volumetric Strain and Poisson's Ratio

Variable Name

GoLongitudinal Strain given Volumetric and Lateral Strain Formula