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Volumetric Strain given Change in Length Calculator

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✖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 [εv]
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Formula
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Volumetric Strain given Change in Length

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

Example
`"0.0004"=("0.0025m" /"2.5m")*(1-2*"0.3")`

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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)
εv = (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
εv = (Δl /l)*(1-2*𝛎) --> (0.0025 /2.5)*(1-2*0.3)
Evaluating ... ...
εv = 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
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 given Change in Length Formula

Volumetric Strain = (Change in Length /Length of Section)*(1-2*Poisson's Ratio)
εv = (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 εv 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 εv = (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 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 = Longitudinal Strain*(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+Change in Breadth/Breadth of Bar+Change in Depth/Depth of Bar
  • Volumetric Strain = Longitudinal Strain+2*Lateral Strain
  • Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio)
  • 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+Change in Breadth/Breadth of Bar+Change in Depth/Depth of Bar
  • Volumetric Strain = Longitudinal Strain+2*Lateral Strain
  • Volumetric Strain = Longitudinal Strain*(1-2*Poisson's Ratio)
  • Volumetric Strain = (3*Tensile Stress*(1-2*Poisson's Ratio))/Young's Modulus
  • Volumetric Strain = Longitudinal Strain-2*(Lateral Strain)
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