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

✖The Bulk Modulus is a measure of the ability of a substance to withstand changes in volume when under compression on all sides.ⓘ Bulk Modulus [K]			+10% -10%
✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]			+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 using Bulk Modulus and Young's Modulus [𝛎]

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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)

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Home » Physics » Strength of Materials » Stress and Strain » Elastic Constants » Mechanical » Volumetric Strain » Poisson's Ratio using Bulk Modulus and Young's Modulus

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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

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NSS College of Engineering (NSSCE), Palakkad

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LaTeX Go Longitudinal Strain = Volumetric Strain-(2*Lateral Strain)

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LaTeX Go Bulk Modulus = Direct Stress/Volumetric Strain

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Bulk Modulus using Young's Modulus

LaTeX Go Bulk Modulus = Young's Modulus/(3*(1-2*Poisson's Ratio))

Direct Stress for given Bulk Modulus and Volumetric Strain

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

LaTeX Go

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, Poisson's Ratio using Bulk Modulus and Young's Modulus formula is defined as a measure of the relationship between lateral strain and axial strain in a material under deformation. It provides insight into the material's elastic behavior and how it responds to applied stress. 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?

Poisson's Ratio using Bulk Modulus and Young's Modulus formula is defined as a measure of the relationship between lateral strain and axial strain in a material under deformation. It provides insight into the material's elastic behavior and how it responds to applied stress 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?

Poisson's Ratio using Bulk Modulus and Young's Modulus formula is defined as a measure of the relationship between lateral strain and axial strain in a material under deformation. It provides insight into the material's elastic behavior and how it responds to applied stress 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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