Poisson's Ratio using Bulk Modulus and Young's Modulus Solution

STEP 0: Pre-Calculation Summary
Formula Used
Poisson's Ratio = (3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus)
𝛎 = (3*K-E)/(6*K)
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.
Bulk Modulus - (Measured in Pascal) - The Bulk Modulus is a measure of the ability of a substance to withstand changes in volume when under compression on all sides.
Young's Modulus - (Measured in Pascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
STEP 1: Convert Input(s) to Base Unit
Bulk Modulus: 18000 Megapascal --> 18000000000 Pascal (Check conversion here)
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝛎 = (3*K-E)/(6*K) --> (3*18000000000-20000000000)/(6*18000000000)
Evaluating ... ...
𝛎 = 0.314814814814815
STEP 3: Convert Result to Output's Unit
0.314814814814815 --> No Conversion Required
FINAL ANSWER
0.314814814814815 0.314815 <-- Poisson's Ratio
(Calculation completed in 00.004 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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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 using Bulk Modulus and Young's Modulus Formula

Poisson's Ratio = (3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus)
𝛎 = (3*K-E)/(6*K)

What is Poisson's Ratio?

Poisson's Ratio is the ratio of lateral strain to longitudinal strain in general. It ranges from 0.1 to 0.45. It is a unitless quantity.

How to Calculate Poisson's Ratio using Bulk Modulus and Young's Modulus?

Poisson's Ratio using Bulk Modulus and Young's Modulus calculator uses Poisson's Ratio = (3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus) to calculate the Poisson's Ratio, The Poisson's Ratio using Bulk Modulus and Young's Modulus formula is defined as dividing the term thrice the value of Bulk modulus minus Young's Modulus by six times the value of Bulk Modulus. Poisson's Ratio is denoted by 𝛎 symbol.

How to calculate Poisson's Ratio using Bulk Modulus and Young's Modulus using this online calculator? To use this online calculator for Poisson's Ratio using Bulk Modulus and Young's Modulus, enter Bulk Modulus (K) & Young's Modulus (E) and hit the calculate button. Here is how the Poisson's Ratio using Bulk Modulus and Young's Modulus calculation can be explained with given input values -> 0.314815 = (3*18000000000-20000000000)/(6*18000000000).

FAQ

What is Poisson's Ratio using Bulk Modulus and Young's Modulus?
The Poisson's Ratio using Bulk Modulus and Young's Modulus formula is defined as dividing the term thrice the value of Bulk modulus minus Young's Modulus by six times the value of Bulk Modulus and is represented as 𝛎 = (3*K-E)/(6*K) or Poisson's Ratio = (3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus). The Bulk Modulus is a measure of the ability of a substance to withstand changes in volume when under compression on all sides & Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
How to calculate Poisson's Ratio using Bulk Modulus and Young's Modulus?
The Poisson's Ratio using Bulk Modulus and Young's Modulus formula is defined as dividing the term thrice the value of Bulk modulus minus Young's Modulus by six times the value of Bulk Modulus is calculated using Poisson's Ratio = (3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus). To calculate Poisson's Ratio using Bulk Modulus and Young's Modulus, you need Bulk Modulus (K) & Young's Modulus (E). With our tool, you need to enter the respective value for Bulk Modulus & Young's Modulus 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 Bulk Modulus & Young's Modulus. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain)
  • Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain)
  • Poisson's Ratio = 1/2*(1-Volumetric Strain/Longitudinal Strain)
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