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Young's Modulus using Bulk Modulus Formula

GoYoung's Modulus using Poisson's Ratio Formula

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Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain. Check FAQs

E = 3 \cdot K \cdot (1 - 2 \cdot 𝛎)

E - Young's Modulus?K - Bulk Modulus?𝛎 - Poisson's Ratio?

Young's Modulus using Bulk Modulus Example

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Here is how the Young's Modulus using Bulk Modulus equation looks like with Values.

Here is how the Young's Modulus using Bulk Modulus equation looks like with Units.

Here is how the Young's Modulus using Bulk Modulus equation looks like.

86400 = 3 \cdot 18000 \cdot (1 - 2 \cdot -0.3)

86400MPa = 3 \cdot 18000MPa \cdot (1 - 2 \cdot -0.3)

86400 = 3 \cdot 18000 \cdot (1 - 2 \cdot -0.3)

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Young's Modulus using Bulk Modulus Solution

Follow our step by step solution on how to calculate Young's Modulus using Bulk Modulus?

FIRST Step Consider the formula

E = 3 \cdot K \cdot (1 - 2 \cdot 𝛎)

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

E = 3 \cdot 1.8E+10Pa \cdot (1 - 2 \cdot -0.3)

Next Step Prepare to Evaluate

∴

E = 3 \cdot 1.8E+10 \cdot (1 - 2 \cdot -0.3)

Next Step Evaluate

∴

E = 86400000000Pa

LAST Step Convert to Output's Unit

∴

E = 86400MPa

Young's Modulus using Bulk Modulus Formula Elements

Variables

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Young's Modulus

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.

Symbol: K

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Bulk Modulus

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.

Symbol: 𝛎

Measurement: NAUnit: Unitless

Note: Value should be between -1 to 0.5.

Formulas to find Poisson's Ratio

Other Formulas to find Young's Modulus

Go Young's Modulus using Poisson's Ratio

E = \frac{3 \cdot σ t \cdot (1 - 2 \cdot 𝛎)}{ε v}

Other formulas in Volumetric Strain category

Go Bulk Modulus given Direct Stress

K = \frac{σ}{ε v}

Go Bulk Modulus using Young's Modulus

K = \frac{E}{3 \cdot (1 - 2 \cdot 𝛎)}

Go Direct Stress for given Bulk Modulus and Volumetric Strain

σ = K \cdot ε v

Go Lateral Strain given Volumetric and Longitudinal Strain

ε L = - \frac{ε ln - ε v}{2}

How to Evaluate Young's Modulus using Bulk Modulus?

Young's Modulus using Bulk Modulus evaluator uses Young's Modulus = 3*Bulk Modulus*(1-2*Poisson's Ratio) to evaluate the Young's Modulus, Young's Modulus using Bulk Modulus formula is defined as a relationship that describes the elasticity of a material by relating its ability to deform under stress to its bulk modulus and Poisson's ratio. It provides insight into the material's stiffness and resistance to deformation. Young's Modulus is denoted by E symbol.

How to evaluate Young's Modulus using Bulk Modulus using this online evaluator? To use this online evaluator for Young's Modulus using Bulk Modulus, enter Bulk Modulus (K) & Poisson's Ratio (𝛎) and hit the calculate button.

FAQs on Young's Modulus using Bulk Modulus

What is the formula to find Young's Modulus using Bulk Modulus?

The formula of Young's Modulus using Bulk Modulus is expressed as Young's Modulus = 3*Bulk Modulus*(1-2*Poisson's Ratio). Here is an example- 0.0864 = 3*18000000000*(1-2*(-0.3)).

How to calculate Young's Modulus using Bulk Modulus?

With Bulk Modulus (K) & Poisson's Ratio (𝛎) we can find Young's Modulus using Bulk Modulus using the formula - Young's Modulus = 3*Bulk Modulus*(1-2*Poisson's Ratio).

What are the other ways to Calculate Young's Modulus?

Here are the different ways to Calculate Young's Modulus-

Young's Modulus=(3*Tensile Stress*(1-2*Poisson's Ratio))/Volumetric Strain

Can the Young's Modulus using Bulk Modulus be negative?

Yes, the Young's Modulus using Bulk Modulus, measured in Stress can be negative.

Which unit is used to measure Young's Modulus using Bulk Modulus?

Young's Modulus using Bulk Modulus is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Young's Modulus using Bulk Modulus can be measured.

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