Bulk Modulus using Young's Modulus Calculator

✖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 [𝛎]			+10% -10%

✖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 using Young's Modulus [K]

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Formula

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Bulk Modulus using Young's Modulus

Formula

`"K" = "E"/(3*(1-2*"𝛎"))`

Example

`"16666.67MPa"="20000MPa"/(3*(1-2*"0.3"))`

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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 = 16666.6666666667

STEP 3: Convert Result to Output's Unit

16666666666.6667 Pascal -->16666.6666666667 Megapascal (Check conversion here)

FINAL ANSWER

16666.6666666667 ≈ 16666.67 Megapascal <-- Bulk Modulus

(Calculation completed in 00.004 seconds)

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

Credits

Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ 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

Bulk Modulus using Young's Modulus Formula

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, The Bulk Modulus using Young's Modulus formula is defined as dividing Young's Modulus by 3 times the term one minus twice of Poisson's ratio. 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 -> 0.016667 = 20000000000/(3*(1-2*0.3)).

FAQ

What is Bulk Modulus using Young's Modulus?

The Bulk Modulus using Young's Modulus formula is defined as dividing Young's Modulus by 3 times the term one minus twice of Poisson's ratio 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?

The Bulk Modulus using Young's Modulus formula is defined as dividing Young's Modulus by 3 times the term one minus twice of Poisson's ratio 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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