Volumetric Strain of Cylindrical Rod using Poisson's Ratio Calculator

✖The Longitudinal Strain is ratio of change in length to original length.ⓘ Longitudinal Strain [ε_ln]			+10% -10%
✖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.ⓘ Poisson's Ratio [𝛎]			+10% -10%

✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric Strain of Cylindrical Rod using Poisson's Ratio [ε_v]

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Volumetric Strain of Cylindrical Rod using Poisson's Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio)
ε_v = ε_ln*(1-2*𝛎)
This formula uses 3 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Longitudinal Strain: 0.062 --> No Conversion Required
Poisson's Ratio: -0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_v = ε_ln*(1-2*𝛎) --> 0.062*(1-2*(-0.3))

Evaluating ... ...

ε_v = 0.0992

STEP 3: Convert Result to Output's Unit

0.0992 --> No Conversion Required

FINAL ANSWER

0.0992 <-- Volumetric Strain

(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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

Volumetric Strain given Longitudinal and Lateral Strain

LaTeX Go Volumetric Strain = Longitudinal Strain+2*Lateral Strain

Bulk Modulus given Direct Stress

LaTeX Go Bulk Modulus = Direct Stress/Volumetric Strain

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LaTeX Go Bulk Modulus = Direct Stress/Volumetric Strain

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LaTeX Go Lateral Strain = -(Longitudinal Strain-Volumetric Strain)/2

Bulk Modulus using Young's Modulus

LaTeX Go Bulk Modulus = Young's Modulus/(3*(1-2*Poisson's Ratio))

Direct Stress for given Bulk Modulus and Volumetric Strain

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Bulk Modulus given Direct Stress

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Volumetric Strain of Cylindrical Rod using Poisson's Ratio Formula

LaTeX Go

Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio)
ε_v = ε_ln*(1-2*𝛎)

What is volumetric strain?

When a body is subjected to a force or system of forces then the ratio of change in volume to original volume is called volumetric strain.

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

Volumetric Strain of Cylindrical Rod using Poisson's Ratio calculator uses Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio) to calculate 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 calculate Volumetric Strain of Cylindrical Rod using Poisson's Ratio using this online calculator? To use this online calculator for Volumetric Strain of Cylindrical Rod using Poisson's Ratio, enter Longitudinal Strain (ε_ln) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Volumetric Strain of Cylindrical Rod using Poisson's Ratio calculation can be explained with given input values -> 0.0992 = 0.062*(1-2*(-0.3)).

FAQ

What is Volumetric Strain of Cylindrical Rod using Poisson's Ratio?

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 and is represented as ε_v = ε_ln*(1-2*𝛎) or Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio). The Longitudinal Strain is ratio of change in length to original length & 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.

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

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 is calculated using Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio). To calculate Volumetric Strain of Cylindrical Rod using Poisson's Ratio, you need Longitudinal Strain (ε_ln) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Longitudinal Strain & Poisson's Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volumetric Strain?

In this formula, Volumetric Strain uses Longitudinal Strain & Poisson's Ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -

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
Volumetric Strain = Direct Stress/Bulk Modulus

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