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Volumetric Strain given Change in Length Formula

GoVolumetric Strain given Bulk Modulus Formula

GoVolumetric Strain given Change in Length, Breadth and Width Formula

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

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

ε_v - Volumetric Strain?Δl - Change in Length?l - Length of Section?𝛎 - Poisson's Ratio?

Volumetric Strain given Change in Length Example

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Here is how the Volumetric Strain given Change in Length equation looks like with Values.

Here is how the Volumetric Strain given Change in Length equation looks like with Units.

Here is how the Volumetric Strain given Change in Length equation looks like.

0.0016 = (\frac{0.0025}{2.5}) \cdot (1 - 2 \cdot -0.3)

0.0016 = (\frac{0.0025m}{2.5m}) \cdot (1 - 2 \cdot -0.3)

0.0016 = (\frac{0.0025}{2.5}) \cdot (1 - 2 \cdot -0.3)

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Volumetric Strain given Change in Length Solution

Follow our step by step solution on how to calculate Volumetric Strain given Change in Length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ε v = (\frac{0.0025m}{2.5m}) \cdot (1 - 2 \cdot -0.3)

Next Step Prepare to Evaluate

∴

ε v = (\frac{0.0025}{2.5}) \cdot (1 - 2 \cdot -0.3)

LAST Step Evaluate

∴

ε v = 0.0016

Volumetric Strain given Change in Length 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

Change in Length

Change in Length is a difference in length after the application of Load.

Symbol: Δl

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Change in Length

Length of Section

Length of section is defined as the total length of the Bar.

Symbol: l

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Section

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, 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

Go Volumetric Strain of Cylindrical Rod using Poisson's Ratio

ε v = ε ln \cdot (1 - 2 \cdot 𝛎)

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 given Change in Length?

Volumetric Strain given Change in Length evaluator uses Volumetric Strain = (Change in Length/Length of Section)*(1-2*Poisson's Ratio) to evaluate the Volumetric Strain, Volumetric Strain given Change in Length formula is defined as a measure of the change in volume of a material in response to an applied stress, accounting for both the change in length and the material's Poisson's ratio. It helps in understanding material deformation under load. Volumetric Strain is denoted by ε_v symbol.

How to evaluate Volumetric Strain given Change in Length using this online evaluator? To use this online evaluator for Volumetric Strain given Change in Length, enter Change in Length (Δl), Length of Section (l) & Poisson's Ratio (𝛎) and hit the calculate button.

FAQs on Volumetric Strain given Change in Length

What is the formula to find Volumetric Strain given Change in Length?

The formula of Volumetric Strain given Change in Length is expressed as Volumetric Strain = (Change in Length/Length of Section)*(1-2*Poisson's Ratio). Here is an example- 0.0016 = (0.0025/2.5)*(1-2*(-0.3)).

How to calculate Volumetric Strain given Change in Length?

With Change in Length (Δl), Length of Section (l) & Poisson's Ratio (𝛎) we can find Volumetric Strain given Change in Length using the formula - Volumetric Strain = (Change in Length/Length of Section)*(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+Change in Breadth/Breadth of Bar+Change in Depth/Depth of Bar
Volumetric Strain=Longitudinal Strain+2*Lateral Strain

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Volumetric Strain given Change in Length Formula

​GoVolumetric Strain given Bulk Modulus Formula

​GoVolumetric Strain given Change in Length, Breadth and Width Formula

Volumetric Strain given Change in Length Example

Volumetric Strain given Change in Length Solution

Volumetric Strain given Change in Length Formula Elements

Other Formulas to find Volumetric Strain

Other formulas in Volumetric Strain category

How to Evaluate Volumetric Strain given Change in Length?

FAQs on Volumetric Strain given Change in Length

Variable Name

GoVolumetric Strain given Bulk Modulus Formula

GoVolumetric Strain given Change in Length, Breadth and Width Formula