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Volumetric Strain of Cylindrical Rod using Poisson's Ratio Calculator

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✖The Longitudinal Strain is ratio of change in length to original length.ⓘ Longitudinal Strain [εlongitudinal]
+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 [εv]
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Formula
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Volumetric Strain of Cylindrical Rod using Poisson's Ratio

Formula
`"ε"_{"v"} = "ε"_{"longitudinal"}*(1-2*"𝛎")`

Example
`"0.08"="0.2"*(1-2*"0.3")`

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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)
εv = εlongitudinal*(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: 0.2 --> No Conversion Required
Poisson's Ratio: 0.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
εv = εlongitudinal*(1-2*𝛎) --> 0.2*(1-2*0.3)
Evaluating ... ...
εv = 0.08
STEP 3: Convert Result to Output's Unit
0.08 --> No Conversion Required
FINAL ANSWER
0.08 <-- 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
Chandana P Dev has verified this Calculator and 1700+ more calculators!

17 Volumetric Strain Calculators

Volumetric Strain given Change in Length, Breadth and Width
Go Volumetric Strain = Change in Length/Length of Section+Change in Breadth/Breadth of Bar+Change in Depth/Depth of Bar
Volumetric Strain given Change in Length
Go Volumetric Strain = (Change in Length/Length of Section)*(1-2*Poisson's Ratio)
Volumetric Strain using Young's Modulus and Poisson's Ratio
Go Volumetric Strain = (3*Tensile Stress*(1-2*Poisson's Ratio))/Young's Modulus
Young's Modulus using Poisson's Ratio
Go Young's Modulus = (3*Tensile Stress*(1-2*Poisson's Ratio))/Volumetric Strain
Poisson's Ratio using Bulk Modulus and Young's Modulus
Go Poisson's Ratio = (3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus)
Poisson's Ratio given Volumetric Strain and Longitudinal Strain
Go Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain)
Longitudinal Strain given Volumetric Strain and Poisson's Ratio
Go Longitudinal Strain = Volumetric Strain/(1-2*Poisson's Ratio)
Volumetric Strain of Cylindrical Rod using Poisson's Ratio
Go Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio)
Lateral Strain given Volumetric and Longitudinal Strain
Go Lateral Strain = -(Longitudinal Strain-Volumetric Strain)/2
Longitudinal Strain given Volumetric and Lateral Strain
Go Longitudinal Strain = Volumetric Strain-(2*Lateral Strain)
Volumetric Strain of Cylindrical Rod
Go Volumetric Strain = Longitudinal Strain-2*(Lateral Strain)
Volumetric Strain given Longitudinal and Lateral Strain
Go Volumetric Strain = Longitudinal Strain+2*Lateral Strain
Bulk Modulus using Young's Modulus
Go Bulk Modulus = Young's Modulus/(3*(1-2*Poisson's Ratio))
Young's Modulus using Bulk Modulus
Go Young's Modulus = 3*Bulk Modulus*(1-2*Poisson's Ratio)
Direct Stress for given Bulk Modulus and Volumetric Strain
Go Direct Stress = Bulk Modulus*Volumetric Strain
Volumetric Strain given Bulk Modulus
Go Volumetric Strain = Direct Stress/Bulk Modulus
Bulk Modulus given Direct Stress
Go Bulk Modulus = Direct Stress/Volumetric Strain

19 Compression Calculators

Volumetric Strain given Change in Length, Breadth and Width
Go Volumetric Strain = Change in Length/Length of Section+Change in Breadth/Breadth of Bar+Change in Depth/Depth of Bar
28-Day Concrete Compressive Strength
Go 28 Day Compressive Strength of Concrete = 7 Day Compressive Strength+(30*sqrt(7 Day Compressive Strength))
Volumetric Strain given Change in Length
Go Volumetric Strain = (Change in Length/Length of Section)*(1-2*Poisson's Ratio)
Volumetric Strain using Young's Modulus and Poisson's Ratio
Go Volumetric Strain = (3*Tensile Stress*(1-2*Poisson's Ratio))/Young's Modulus
Poisson's Ratio using Bulk Modulus and Young's Modulus
Go Poisson's Ratio = (3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus)
Poisson's Ratio given Volumetric Strain and Longitudinal Strain
Go Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain)
Longitudinal Strain given Volumetric Strain and Poisson's Ratio
Go Longitudinal Strain = Volumetric Strain/(1-2*Poisson's Ratio)
Volumetric Strain of Cylindrical Rod using Poisson's Ratio
Go Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio)
Lateral Strain given Volumetric and Longitudinal Strain
Go Lateral Strain = -(Longitudinal Strain-Volumetric Strain)/2
Longitudinal Strain given Volumetric and Lateral Strain
Go Longitudinal Strain = Volumetric Strain-(2*Lateral Strain)
Volumetric Strain of Cylindrical Rod
Go Volumetric Strain = Longitudinal Strain-2*(Lateral Strain)
Volumetric Strain given Longitudinal and Lateral Strain
Go Volumetric Strain = Longitudinal Strain+2*Lateral Strain
Bulk Modulus using Young's Modulus
Go Bulk Modulus = Young's Modulus/(3*(1-2*Poisson's Ratio))
Modulus of Rupture of Concrete
Go Modulus of Rupture of Concrete = 7.5*((Characteristic Compressive Strength)^(1/2))
Direct Stress for given Bulk Modulus and Volumetric Strain
Go Direct Stress = Bulk Modulus*Volumetric Strain
Volumetric Strain given Bulk Modulus
Go Volumetric Strain = Direct Stress/Bulk Modulus
Bulk Modulus given Direct Stress
Go Bulk Modulus = Direct Stress/Volumetric Strain
28-Day Concrete Compressive Strength given Water Cement Ratio
Go 28 Day Compressive Strength of Concrete = (2700*Water Cement Ratio)-760
Water Cement Ratio given 28-Day Concrete Compressive Strength
Go Water Cement Ratio = (28 Day Compressive Strength of Concrete+760)/2700

17 Volumetric Strain Calculators

Volumetric Strain given Change in Length, Breadth and Width
Go Volumetric Strain = Change in Length/Length of Section+Change in Breadth/Breadth of Bar+Change in Depth/Depth of Bar
Volumetric Strain given Change in Length
Go Volumetric Strain = (Change in Length/Length of Section)*(1-2*Poisson's Ratio)
Volumetric Strain using Young's Modulus and Poisson's Ratio
Go Volumetric Strain = (3*Tensile Stress*(1-2*Poisson's Ratio))/Young's Modulus
Young's Modulus using Poisson's Ratio
Go Young's Modulus = (3*Tensile Stress*(1-2*Poisson's Ratio))/Volumetric Strain
Poisson's Ratio using Bulk Modulus and Young's Modulus
Go Poisson's Ratio = (3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus)
Poisson's Ratio given Volumetric Strain and Longitudinal Strain
Go Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain)
Longitudinal Strain given Volumetric Strain and Poisson's Ratio
Go Longitudinal Strain = Volumetric Strain/(1-2*Poisson's Ratio)
Volumetric Strain of Cylindrical Rod using Poisson's Ratio
Go Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio)
Lateral Strain given Volumetric and Longitudinal Strain
Go Lateral Strain = -(Longitudinal Strain-Volumetric Strain)/2
Longitudinal Strain given Volumetric and Lateral Strain
Go Longitudinal Strain = Volumetric Strain-(2*Lateral Strain)
Volumetric Strain of Cylindrical Rod
Go Volumetric Strain = Longitudinal Strain-2*(Lateral Strain)
Volumetric Strain given Longitudinal and Lateral Strain
Go Volumetric Strain = Longitudinal Strain+2*Lateral Strain
Bulk Modulus using Young's Modulus
Go Bulk Modulus = Young's Modulus/(3*(1-2*Poisson's Ratio))
Young's Modulus using Bulk Modulus
Go Young's Modulus = 3*Bulk Modulus*(1-2*Poisson's Ratio)
Direct Stress for given Bulk Modulus and Volumetric Strain
Go Direct Stress = Bulk Modulus*Volumetric Strain
Volumetric Strain given Bulk Modulus
Go Volumetric Strain = Direct Stress/Bulk Modulus
Bulk Modulus given Direct Stress
Go Bulk Modulus = Direct Stress/Volumetric Strain

Volumetric Strain of Cylindrical Rod using Poisson's Ratio Formula

Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio)
εv = εlongitudinal*(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, The Volumetric Strain of Cylindrical Rod using Poisson's Ratio formula is defined as the product of longitudinal strain and the term (1 -2μ), where μ is Poisson's ratio. Volumetric Strain is denoted by εv 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 (εlongitudinal) & 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 -> -0.08 = 0.2*(1-2*0.3).

FAQ

What is Volumetric Strain of Cylindrical Rod using Poisson's Ratio?
The Volumetric Strain of Cylindrical Rod using Poisson's Ratio formula is defined as the product of longitudinal strain and the term (1 -2μ), where μ is Poisson's ratio and is represented as εv = εlongitudinal*(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?
The Volumetric Strain of Cylindrical Rod using Poisson's Ratio formula is defined as the product of longitudinal strain and the term (1 -2μ), where μ is Poisson's ratio 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 (εlongitudinal) & 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 18 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
  • Volumetric Strain = (3*Tensile Stress*(1-2*Poisson's Ratio))/Young's Modulus
  • Volumetric Strain = (Change in Length/Length of Section)*(1-2*Poisson's Ratio)
  • Volumetric Strain = Longitudinal Strain-2*(Lateral 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
  • Volumetric Strain = Longitudinal Strain+2*Lateral Strain
  • Volumetric Strain = (3*Tensile Stress*(1-2*Poisson's Ratio))/Young's Modulus
  • Volumetric Strain = Longitudinal Strain-2*(Lateral 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
  • Volumetric Strain = Longitudinal Strain+2*Lateral Strain
  • Volumetric Strain = (3*Tensile Stress*(1-2*Poisson's Ratio))/Young's Modulus
  • Volumetric Strain = Longitudinal Strain-2*(Lateral Strain)
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