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Volumetric Strain of Cylindrical Rod 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 - 2 \cdot (ε L)

ε_v - Volumetric Strain?ε_ln - Longitudinal Strain?ε_L - Lateral Strain?

Volumetric Strain of Cylindrical Rod Example

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Here is how the Volumetric Strain of Cylindrical Rod equation looks like with Values.

Here is how the Volumetric Strain of Cylindrical Rod equation looks like with Units.

Here is how the Volumetric Strain of Cylindrical Rod equation looks like.

0.022 = 0.062 - 2 \cdot (0.02)

0.022 = 0.062 - 2 \cdot (0.02)

0.022 = 0.062 - 2 \cdot (0.02)

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Volumetric Strain of Cylindrical Rod Solution

Follow our step by step solution on how to calculate Volumetric Strain of Cylindrical Rod?

FIRST Step Consider the formula

ε v = ε ln - 2 \cdot (ε L)

Next Step Substitute values of Variables

∴

ε v = 0.062 - 2 \cdot (0.02)

Next Step Prepare to Evaluate

∴

ε v = 0.062 - 2 \cdot (0.02)

LAST Step Evaluate

∴

ε v = 0.022

Volumetric Strain of Cylindrical Rod 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

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

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?

Volumetric Strain of Cylindrical Rod evaluator uses Volumetric Strain = Longitudinal Strain-2*(Lateral Strain) to evaluate the Volumetric Strain, Volumetric Strain of Cylindrical Rod formula is defined as a measure of the change in volume of a cylindrical rod due to applied stress. It quantifies how much the volume of the material changes in response to longitudinal and lateral strains, reflecting its elastic properties. Volumetric Strain is denoted by ε_v symbol.

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

FAQs on Volumetric Strain of Cylindrical Rod

What is the formula to find Volumetric Strain of Cylindrical Rod?

The formula of Volumetric Strain of Cylindrical Rod is expressed as Volumetric Strain = Longitudinal Strain-2*(Lateral Strain). Here is an example- 0.022 = 0.062-2*(0.02).

How to calculate Volumetric Strain of Cylindrical Rod?

With Longitudinal Strain (ε_ln) & Lateral Strain (ε_L) we can find Volumetric Strain of Cylindrical Rod using the formula - Volumetric Strain = Longitudinal Strain-2*(Lateral Strain).

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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: Unit

Volumetric Strain of Cylindrical Rod Formula

​GoVolumetric Strain given Bulk Modulus Formula

​GoVolumetric Strain given Change in Length Formula

Volumetric Strain of Cylindrical Rod Example

Volumetric Strain of Cylindrical Rod Solution

Volumetric Strain of Cylindrical Rod Formula Elements

Other Formulas to find Volumetric Strain

Other formulas in Volumetric Strain category

How to Evaluate Volumetric Strain of Cylindrical Rod?

FAQs on Volumetric Strain of Cylindrical Rod

Variable Name

GoVolumetric Strain given Bulk Modulus Formula

GoVolumetric Strain given Change in Length Formula