Volumetric Strain of Cylindrical Rod Calculator

✖The Longitudinal Strain is ratio of change in length to original length.ⓘ Longitudinal Strain [ε_ln]			+10% -10%
✖Lateral Strain is the ratio of change in diameter to original diameter.ⓘ Lateral Strain [ε_L]			+10% -10%

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

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Volumetric Strain of Cylindrical Rod Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volumetric Strain = Longitudinal Strain-2*(Lateral Strain)
ε_v = ε_ln-2*(ε_L)
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.
Lateral Strain - Lateral Strain is the ratio of change in diameter to original diameter.

STEP 1: Convert Input(s) to Base Unit

Longitudinal Strain: 0.062 --> No Conversion Required
Lateral Strain: 0.02 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_v = ε_ln-2*(ε_L) --> 0.062-2*(0.02)

Evaluating ... ...

ε_v = 0.022

STEP 3: Convert Result to Output's Unit

0.022 --> No Conversion Required

FINAL ANSWER

0.022 <-- Volumetric Strain

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Elastic Constants » Mechanical » Volumetric Strain » Volumetric Strain of Cylindrical Rod

Credits

Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

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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

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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

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Direct Stress for given Bulk Modulus and Volumetric Strain

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Volumetric Strain of Cylindrical Rod Formula

LaTeX Go

Volumetric Strain = Longitudinal Strain-2*(Lateral Strain)
ε_v = ε_ln-2*(ε_L)

What is Volumetric Strain?

The volumetric strain is the ratio of the change in volume of the body to the original volume. It is a unitless quantity.

How to Calculate Volumetric Strain of Cylindrical Rod?

Volumetric Strain of Cylindrical Rod calculator uses Volumetric Strain = Longitudinal Strain-2*(Lateral Strain) to calculate 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 calculate Volumetric Strain of Cylindrical Rod using this online calculator? To use this online calculator for Volumetric Strain of Cylindrical Rod, enter Longitudinal Strain (ε_ln) & Lateral Strain (ε_L) and hit the calculate button. Here is how the Volumetric Strain of Cylindrical Rod calculation can be explained with given input values -> 0.022 = 0.062-2*(0.02).

FAQ

What is Volumetric Strain of Cylindrical Rod?

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 and is represented as ε_v = ε_ln-2*(ε_L) or Volumetric Strain = Longitudinal Strain-2*(Lateral Strain). The Longitudinal Strain is ratio of change in length to original length & Lateral Strain is the ratio of change in diameter to original diameter.

How to calculate Volumetric Strain of Cylindrical Rod?

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 is calculated using Volumetric Strain = Longitudinal Strain-2*(Lateral Strain). To calculate Volumetric Strain of Cylindrical Rod, you need Longitudinal Strain (ε_ln) & Lateral Strain (ε_L). With our tool, you need to enter the respective value for Longitudinal Strain & Lateral Strain 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 & Lateral Strain. 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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