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Volumetric Strain of Cylindrical Rod using Poisson's Ratio Formula

GoVolumetric Strain given Bulk Modulus Formula

GoVolumetric Strain given Change in Length Formula

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

ε v = ε ln \cdot (1 - 2 \cdot 𝛎)

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

Volumetric Strain of Cylindrical Rod using Poisson's Ratio Example

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Here is how the Volumetric Strain of Cylindrical Rod using Poisson's Ratio equation looks like with Values.

Here is how the Volumetric Strain of Cylindrical Rod using Poisson's Ratio equation looks like with Units.

Here is how the Volumetric Strain of Cylindrical Rod using Poisson's Ratio equation looks like.

0.0992 = 0.062 \cdot (1 - 2 \cdot -0.3)

0.0992 = 0.062 \cdot (1 - 2 \cdot -0.3)

0.0992 = 0.062 \cdot (1 - 2 \cdot -0.3)

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Volumetric Strain of Cylindrical Rod using Poisson's Ratio Solution

Follow our step by step solution on how to calculate Volumetric Strain of Cylindrical Rod using Poisson's Ratio?

FIRST Step Consider the formula

ε v = ε ln \cdot (1 - 2 \cdot 𝛎)

Next Step Substitute values of Variables

∴

ε v = 0.062 \cdot (1 - 2 \cdot -0.3)

Next Step Prepare to Evaluate

∴

ε v = 0.062 \cdot (1 - 2 \cdot -0.3)

LAST Step Evaluate

∴

ε v = 0.0992

Volumetric Strain of Cylindrical Rod using Poisson's Ratio Formula Elements

Variables

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

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 Volumetric Strain

Go Volumetric Strain given Bulk Modulus

ε v = \frac{σ}{K}

Go Volumetric Strain given Change in Length

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

Go Volumetric Strain given Change in Length, Breadth and Width

ε v = \frac{Δl}{l} + \frac{Δb}{b} + \frac{Δd}{d}

Go Volumetric Strain given Longitudinal and Lateral Strain

ε v = ε ln + 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 Volumetric Strain of Cylindrical Rod using Poisson's Ratio?

Volumetric Strain of Cylindrical Rod using Poisson's Ratio evaluator uses Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio) to evaluate the Volumetric Strain, Volumetric Strain of Cylindrical Rod using Poisson's Ratio formula is defined as a relationship that describes how the volume of a cylindrical rod changes in response to longitudinal strain, taking into account the material's Poisson's ratio, which reflects the ratio of transverse to axial strain. Volumetric Strain is denoted by ε_v symbol.

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

FAQs on Volumetric Strain of Cylindrical Rod using Poisson's Ratio

What is the formula to find Volumetric Strain of Cylindrical Rod using Poisson's Ratio?

The formula of Volumetric Strain of Cylindrical Rod using Poisson's Ratio is expressed as Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio). Here is an example- 0.0992 = 0.062*(1-2*(-0.3)).

How to calculate Volumetric Strain of Cylindrical Rod using Poisson's Ratio?

With Longitudinal Strain (ε_ln) & Poisson's Ratio (𝛎) we can find Volumetric Strain of Cylindrical Rod using Poisson's Ratio using the formula - Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio).

What are the other ways to Calculate Volumetric Strain?

Here are the different ways to Calculate Volumetric Strain-

Volumetric Strain=Direct Stress/Bulk Modulus
Volumetric Strain=(Change in Length/Length of Section)*(1-2*Poisson's Ratio)
Volumetric Strain=Change in Length/Length of Section+Change in Breadth/Breadth of Bar+Change in Depth/Depth of Bar

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Volumetric Strain of Cylindrical Rod using Poisson's Ratio Formula

​GoVolumetric Strain given Bulk Modulus Formula

​GoVolumetric Strain given Change in Length Formula

Volumetric Strain of Cylindrical Rod using Poisson's Ratio Example

Volumetric Strain of Cylindrical Rod using Poisson's Ratio Solution

Volumetric Strain of Cylindrical Rod using Poisson's Ratio Formula Elements

Other Formulas to find Volumetric Strain

Other formulas in Volumetric Strain category

How to Evaluate Volumetric Strain of Cylindrical Rod using Poisson's Ratio?

FAQs on Volumetric Strain of Cylindrical Rod using Poisson's Ratio

Variable Name

GoVolumetric Strain given Bulk Modulus Formula

GoVolumetric Strain given Change in Length Formula