Volumetric Strain given Change in Length Calculator

✖Change in Length is a difference in length after the application of Load.ⓘ Change in Length [Δl]			+10% -10%
✖Length of section is defined as the total length of the Bar.ⓘ Length of Section [l]			+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 given Change in Length [ε_v]

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Volumetric Strain given Change in Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volumetric Strain = (Change in Length/Length of Section)*(1-2*Poisson's Ratio)
ε_v = (Δl/l)*(1-2*𝛎)
This formula uses 4 Variables

Variables Used

Volumetric Strain - The Volumetric Strain is the ratio of change in volume to original volume.
Change in Length - (Measured in Meter) - Change in Length is a difference in length after the application of Load.
Length of Section - (Measured in Meter) - Length of section is defined as the total length of the Bar.
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

Change in Length: 0.0025 Meter --> 0.0025 Meter No Conversion Required
Length of Section: 2.5 Meter --> 2.5 Meter No Conversion Required
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_v = (Δl/l)*(1-2*𝛎) --> (0.0025/2.5)*(1-2*0.3)

Evaluating ... ...

ε_v = 0.0004

STEP 3: Convert Result to Output's Unit

0.0004 --> No Conversion Required

FINAL ANSWER

0.0004 <-- Volumetric Strain

(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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Volumetric Strain given Change in Length Formula

LaTeX Go

Volumetric Strain = (Change in Length/Length of Section)*(1-2*Poisson's Ratio)
ε_v = (Δl/l)*(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 given Change in Length?

Volumetric Strain given Change in Length calculator uses Volumetric Strain = (Change in Length/Length of Section)*(1-2*Poisson's Ratio) to calculate the Volumetric Strain, The Volumetric Strain given Change in Length formula is defined as the product of the ratio of change in length to the original length and the term (1-2μ), where μ is Poisson's ratio. Volumetric Strain is denoted by ε_v symbol.

How to calculate Volumetric Strain given Change in Length using this online calculator? To use this online calculator 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. Here is how the Volumetric Strain given Change in Length calculation can be explained with given input values -> 0.0004 = (0.0025/2.5)*(1-2*0.3).

FAQ

What is Volumetric Strain given Change in Length?

The Volumetric Strain given Change in Length formula is defined as the product of the ratio of change in length to the original length and the term (1-2μ), where μ is Poisson's ratio and is represented as ε_v = (Δl/l)*(1-2*𝛎) or Volumetric Strain = (Change in Length/Length of Section)*(1-2*Poisson's Ratio). Change in Length is a difference in length after the application of Load, Length of section is defined as the total length of the Bar & 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 given Change in Length?

The Volumetric Strain given Change in Length formula is defined as the product of the ratio of change in length to the original length and the term (1-2μ), where μ is Poisson's ratio is calculated using Volumetric Strain = (Change in Length/Length of Section)*(1-2*Poisson's Ratio). To calculate Volumetric Strain given Change in Length, you need Change in Length (Δl), Length of Section (l) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Change in Length, Length of Section & 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 Change in Length, Length of Section & 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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