Longitudinal Strain given Volumetric Strain and Poisson's Ratio Calculator

✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric Strain [ε_v]			+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 Longitudinal Strain is ratio of change in length to original length.ⓘ Longitudinal Strain given Volumetric Strain and Poisson's Ratio [ε_ln]

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Longitudinal Strain given Volumetric Strain and Poisson's Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

Volumetric Strain: 0.0001 --> No Conversion Required
Poisson's Ratio: -0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_ln = ε_v/(1-2*𝛎) --> 0.0001/(1-2*(-0.3))

Evaluating ... ...

ε_ln = 6.25E-05

STEP 3: Convert Result to Output's Unit

6.25E-05 --> No Conversion Required

FINAL ANSWER

6.25E-05 ≈ 6.3E-5 <-- Longitudinal Strain

(Calculation completed in 00.005 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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Longitudinal Strain given Volumetric Strain and Poisson's Ratio Formula

LaTeX Go

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

What is longitudinal strain?

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

How to Calculate Longitudinal Strain given Volumetric Strain and Poisson's Ratio?

Longitudinal Strain given Volumetric Strain and Poisson's Ratio calculator uses Longitudinal Strain = Volumetric Strain/(1-2*Poisson's Ratio) to calculate the Longitudinal Strain, Longitudinal Strain given Volumetric Strain and Poisson's Ratio formula is defined as a relationship that describes how longitudinal strain in a material can be derived from its volumetric strain and Poisson's ratio, reflecting the material's response to deformation under stress. Longitudinal Strain is denoted by ε_ln symbol.

How to calculate Longitudinal Strain given Volumetric Strain and Poisson's Ratio using this online calculator? To use this online calculator for Longitudinal Strain given Volumetric Strain and Poisson's Ratio, enter Volumetric Strain (ε_v) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Longitudinal Strain given Volumetric Strain and Poisson's Ratio calculation can be explained with given input values -> 6.3E-5 = 0.0001/(1-2*(-0.3)).

FAQ

What is Longitudinal Strain given Volumetric Strain and Poisson's Ratio?

Longitudinal Strain given Volumetric Strain and Poisson's Ratio formula is defined as a relationship that describes how longitudinal strain in a material can be derived from its volumetric strain and Poisson's ratio, reflecting the material's response to deformation under stress and is represented as ε_ln = ε_v/(1-2*𝛎) or Longitudinal Strain = Volumetric Strain/(1-2*Poisson's Ratio). The Volumetric Strain is the ratio of change in volume to original volume & 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 Longitudinal Strain given Volumetric Strain and Poisson's Ratio?

Longitudinal Strain given Volumetric Strain and Poisson's Ratio formula is defined as a relationship that describes how longitudinal strain in a material can be derived from its volumetric strain and Poisson's ratio, reflecting the material's response to deformation under stress is calculated using Longitudinal Strain = Volumetric Strain/(1-2*Poisson's Ratio). To calculate Longitudinal Strain given Volumetric Strain and Poisson's Ratio, you need Volumetric Strain (ε_v) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Volumetric 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 Longitudinal Strain?

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

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

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