Bulk Modulus using Young's Modulus Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bulk Modulus = Young's Modulus/(3*(1-2*Poisson's Ratio))
K = E/(3*(1-2*𝛎))
This formula uses 3 Variables
Variables Used
Bulk Modulus - (Measured in Megapascal) - 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 Megapascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
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
Young's Modulus: 20000 Megapascal --> 20000 Megapascal No Conversion Required
Poisson's Ratio: -0.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
K = E/(3*(1-2*𝛎)) --> 20000/(3*(1-2*(-0.3)))
Evaluating ... ...
K = 4166.66666666667
STEP 3: Convert Result to Output's Unit
4166666666.66667 Pascal -->4166.66666666667 Megapascal (Check conversion ​here)
FINAL ANSWER
4166.66666666667 4166.667 Megapascal <-- Bulk Modulus
(Calculation completed in 00.004 seconds)

Credits

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Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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​ LaTeX ​ Go Bulk Modulus = Young's Modulus/(3*(1-2*Poisson's Ratio))
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Bulk Modulus using Young's Modulus Formula

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

What is Bulk Modulus?

The direct stress is proportional to volumetric strain. The constant of proportionality is the bulk modulus. The ratio of direct stress to volumetric strain is called bulk modulus.

How to Calculate Bulk Modulus using Young's Modulus?

Bulk Modulus using Young's Modulus calculator uses Bulk Modulus = Young's Modulus/(3*(1-2*Poisson's Ratio)) to calculate the Bulk Modulus, Bulk Modulus using Young's Modulus formula is defined as a relationship that expresses the bulk modulus of a material in terms of its Young's modulus and Poisson's ratio. It quantifies the material's resistance to uniform compression, providing insight into its elastic properties under stress. Bulk Modulus is denoted by K symbol.

How to calculate Bulk Modulus using Young's Modulus using this online calculator? To use this online calculator for Bulk Modulus using Young's Modulus, enter Young's Modulus (E) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Bulk Modulus using Young's Modulus calculation can be explained with given input values -> 0.004167 = 20000000000/(3*(1-2*(-0.3))).

FAQ

What is Bulk Modulus using Young's Modulus?
Bulk Modulus using Young's Modulus formula is defined as a relationship that expresses the bulk modulus of a material in terms of its Young's modulus and Poisson's ratio. It quantifies the material's resistance to uniform compression, providing insight into its elastic properties under stress and is represented as K = E/(3*(1-2*𝛎)) or Bulk Modulus = Young's Modulus/(3*(1-2*Poisson's Ratio)). Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain & 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 Bulk Modulus using Young's Modulus?
Bulk Modulus using Young's Modulus formula is defined as a relationship that expresses the bulk modulus of a material in terms of its Young's modulus and Poisson's ratio. It quantifies the material's resistance to uniform compression, providing insight into its elastic properties under stress is calculated using Bulk Modulus = Young's Modulus/(3*(1-2*Poisson's Ratio)). To calculate Bulk Modulus using Young's Modulus, you need Young's Modulus (E) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Young's Modulus & 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 Bulk Modulus?
In this formula, Bulk Modulus uses Young's Modulus & Poisson's Ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Bulk Modulus = Direct Stress/Volumetric Strain
  • Bulk Modulus = Direct Stress/Volumetric Strain
  • Bulk Modulus = Direct Stress/Volumetric Strain
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