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Poisson's Ratio given Volumetric Strain and Longitudinal Strain Formula

GoPoisson's Ratio using Bulk Modulus and Young's Modulus Formula

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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. Check FAQs

𝛎 = \frac{1}{2} \cdot (1 - \frac{ε v}{ε ln})

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

Poisson's Ratio given Volumetric Strain and Longitudinal Strain Example

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

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

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

0.4992 = \frac{1}{2} \cdot (1 - \frac{0.0001}{0.062})

0.4992 = \frac{1}{2} \cdot (1 - \frac{0.0001}{0.062})

0.4992 = \frac{1}{2} \cdot (1 - \frac{0.0001}{0.062})

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Poisson's Ratio given Volumetric Strain and Longitudinal Strain Solution

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

FIRST Step Consider the formula

𝛎 = \frac{1}{2} \cdot (1 - \frac{ε v}{ε ln})

Next Step Substitute values of Variables

∴

𝛎 = \frac{1}{2} \cdot (1 - \frac{0.0001}{0.062})

Next Step Prepare to Evaluate

∴

𝛎 = \frac{1}{2} \cdot (1 - \frac{0.0001}{0.062})

Next Step Evaluate

∴

𝛎 = 0.499193548387097

LAST Step Rounding Answer

∴

𝛎 = 0.4992

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

Variables

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

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

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

Other Formulas to find Poisson's Ratio

Go Poisson's Ratio using Bulk Modulus and Young's Modulus

𝛎 = \frac{3 \cdot K - E}{6 \cdot K}

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 Poisson's Ratio given Volumetric Strain and Longitudinal Strain?

Poisson's Ratio given Volumetric Strain and Longitudinal Strain evaluator uses Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain) to evaluate the Poisson's Ratio, Poisson's Ratio given Volumetric Strain and Longitudinal Strain formula is defined as a measure of the relationship between volumetric strain and longitudinal strain in materials. It quantifies how a material deforms in directions perpendicular to the applied load, providing insight into its elastic properties. Poisson's Ratio is denoted by 𝛎 symbol.

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

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

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

The formula of Poisson's Ratio given Volumetric Strain and Longitudinal Strain is expressed as Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain). Here is an example- 0.499194 = 1/2*(1-0.0001/0.062).

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

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

What are the other ways to Calculate Poisson's Ratio?

Here are the different ways to Calculate Poisson's Ratio-

Poisson's Ratio=(3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus)

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Poisson's Ratio given Volumetric Strain and Longitudinal Strain Formula

​GoPoisson's Ratio using Bulk Modulus and Young's Modulus Formula

Poisson's Ratio given Volumetric Strain and Longitudinal Strain Example

Poisson's Ratio given Volumetric Strain and Longitudinal Strain Solution

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

Other Formulas to find Poisson's Ratio

Other formulas in Volumetric Strain category

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

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

Variable Name

GoPoisson's Ratio using Bulk Modulus and Young's Modulus Formula