Poisson's Ratio given Volumetric Strain and Longitudinal Strain Solution

STEP 0: Pre-Calculation Summary
Formula Used
Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain)
𝛎 = 1/2*(1-εv/εlongitudinal)
This formula uses 3 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Volumetric Strain: 0.0001 --> No Conversion Required
Longitudinal Strain: 0.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝛎 = 1/2*(1-εvlongitudinal) --> 1/2*(1-0.0001/0.2)
Evaluating ... ...
𝛎 = 0.49975
STEP 3: Convert Result to Output's Unit
0.49975 --> No Conversion Required
FINAL ANSWER
0.49975 <-- Poisson's Ratio
(Calculation completed in 00.004 seconds)

Credits

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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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

Poisson's Ratio given Volumetric Strain and Longitudinal Strain Formula

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

What is poisson's ratio?

Poisson’s ratio is the ratio of transverse contraction strain to longitudinal extension strain in the direction of the stretching force.

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

Poisson's Ratio given Volumetric Strain and Longitudinal Strain calculator uses Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain) to calculate the Poisson's Ratio, The Poisson's Ratio given Volumetric Strain and Longitudinal Strain formula is defined as half of the term (1-e/ϵ), where e is volumetric strain and ϵ is longitudinal strain. Poisson's Ratio is denoted by 𝛎 symbol.

How to calculate Poisson's Ratio given Volumetric Strain and Longitudinal Strain using this online calculator? To use this online calculator for Poisson's Ratio given Volumetric Strain and Longitudinal Strain, enter Volumetric Strain v) & Longitudinal Strain longitudinal) and hit the calculate button. Here is how the Poisson's Ratio given Volumetric Strain and Longitudinal Strain calculation can be explained with given input values -> 0.50025 = 1/2*(1-0.0001/0.2).

FAQ

What is Poisson's Ratio given Volumetric Strain and Longitudinal Strain?
The Poisson's Ratio given Volumetric Strain and Longitudinal Strain formula is defined as half of the term (1-e/ϵ), where e is volumetric strain and ϵ is longitudinal strain and is represented as 𝛎 = 1/2*(1-εvlongitudinal) or Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain). The Volumetric Strain is the ratio of change in volume to original volume & The Longitudinal Strain is ratio of change in length to original length.
How to calculate Poisson's Ratio given Volumetric Strain and Longitudinal Strain?
The Poisson's Ratio given Volumetric Strain and Longitudinal Strain formula is defined as half of the term (1-e/ϵ), where e is volumetric strain and ϵ is longitudinal strain is calculated using Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain). To calculate Poisson's Ratio given Volumetric Strain and Longitudinal Strain, you need Volumetric Strain v) & Longitudinal Strain longitudinal). With our tool, you need to enter the respective value for Volumetric Strain & Longitudinal 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 Poisson's Ratio?
In this formula, Poisson's Ratio uses Volumetric Strain & Longitudinal Strain. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Poisson's Ratio = (3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus)
  • Poisson's Ratio = (3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus)
  • Poisson's Ratio = (3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus)
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