Young's Modulus using Bulk 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%
✖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%

✖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 using Bulk Modulus [E]

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Formula

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Young's Modulus using Bulk Modulus

Formula

E = 3 \cdot K \cdot (1 - 2 \cdot 𝛎)

Example

21600 MPa = 3 \cdot 18000 MPa \cdot (1 - 2 \cdot 0.3)

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Young's Modulus using Bulk Modulus Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's Modulus = 3*Bulk Modulus*(1-2*Poisson's Ratio)
E = 3*K*(1-2*𝛎)
This formula uses 3 Variables

Variables Used

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.
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.
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

Bulk Modulus: 18000 Megapascal --> 18000000000 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = 3*K*(1-2*𝛎) --> 3*18000000000*(1-2*0.3)

Evaluating ... ...

E = 21600000000

STEP 3: Convert Result to Output's Unit

21600000000 Pascal -->21600 Megapascal (Check conversion here)

FINAL ANSWER

21600 Megapascal <-- Young's Modulus

(Calculation completed in 00.020 seconds)

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

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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National Institute Of Technology (NIT), Hamirpur

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< 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

Longitudinal Strain given Volumetric and Lateral Strain

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

Volumetric Strain given Longitudinal and Lateral Strain

Go Volumetric Strain = Longitudinal Strain+2*Lateral Strain

Bulk Modulus given Direct Stress

Go Bulk Modulus = Direct Stress/Volumetric Strain

< Modulus of Elasticity Calculators

Young's Modulus of Elasticity as per ACI 318 Building Code Requirements for Reinforced Concrete

Go Young's Modulus = (Weight of Concrete^1.5)*0.043*sqrt(28 Day Compressive Strength of Concrete)

Modulus of Elasticity of Normal Weight and Density Concrete in USCS Units

Go Modulus of Elasticity of Concrete = 57000*sqrt(28 Day Compressive Strength of Concrete)

Young's Modulus of Concrete

Go Modulus of Elasticity of Concrete = 5000*(sqrt(Characteristic Compressive Strength))

Young's Modulus using Bulk Modulus

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

< Volumetric Strain Calculators

Lateral Strain given Volumetric and Longitudinal Strain

Go Lateral Strain = -(Longitudinal Strain-Volumetric Strain)/2

Bulk Modulus using Young's Modulus

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

Direct Stress for given Bulk Modulus and Volumetric Strain

Go Direct Stress = Bulk Modulus*Volumetric Strain

Bulk Modulus given Direct Stress

Go Bulk Modulus = Direct Stress/Volumetric Strain

Young's Modulus using Bulk Modulus Formula

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

What is Young's Modulus?

Stress is proportional to strain within elastic limits. The constant of proportionality is called young's modulus. It is the ratio of stress to strain.

How to Calculate Young's Modulus using Bulk Modulus?

Young's Modulus using Bulk Modulus calculator uses Young's Modulus = 3*Bulk Modulus*(1-2*Poisson's Ratio) to calculate the Young's Modulus, The Young's Modulus using Bulk Modulus formula is defined as multiplying thrice the value of Bulk modulus with the term one minus twice the value of Poisson's ratio. Young's Modulus is denoted by E symbol.

How to calculate Young's Modulus using Bulk Modulus using this online calculator? To use this online calculator for Young's Modulus using Bulk Modulus, enter Bulk Modulus (K) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Young's Modulus using Bulk Modulus calculation can be explained with given input values -> 0.0216 = 3*18000000000*(1-2*0.3).

FAQ

What is Young's Modulus using Bulk Modulus?

The Young's Modulus using Bulk Modulus formula is defined as multiplying thrice the value of Bulk modulus with the term one minus twice the value of Poisson's ratio and is represented as E = 3*K*(1-2*𝛎) or Young's Modulus = 3*Bulk Modulus*(1-2*Poisson's Ratio). The Bulk Modulus is a measure of the ability of a substance to withstand changes in volume when under compression on all sides & 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 Young's Modulus using Bulk Modulus?

The Young's Modulus using Bulk Modulus formula is defined as multiplying thrice the value of Bulk modulus with the term one minus twice the value of Poisson's ratio is calculated using Young's Modulus = 3*Bulk Modulus*(1-2*Poisson's Ratio). To calculate Young's Modulus using Bulk Modulus, you need Bulk Modulus (K) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Bulk 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 Young's Modulus?

In this formula, Young's Modulus uses Bulk Modulus & Poisson's Ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -

Young's Modulus = (3*Tensile Stress*(1-2*Poisson's Ratio))/Volumetric Strain
Young's Modulus = (Weight of Concrete^1.5)*0.043*sqrt(28 Day Compressive Strength of Concrete)
Young's Modulus = (3*Tensile Stress*(1-2*Poisson's Ratio))/Volumetric Strain

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