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Bulk Modulus using Young's Modulus Formula

GoBulk Modulus given Direct Stress Formula

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The Bulk Modulus is a measure of the ability of a substance to withstand changes in volume when under compression on all sides. Check FAQs

K = \frac{E}{3 \cdot (1 - 2 \cdot 𝛎)}

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

Bulk Modulus using Young's Modulus Example

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

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

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

4166.6667 = \frac{20000}{3 \cdot (1 - 2 \cdot -0.3)}

4166.6667MPa = \frac{20000MPa}{3 \cdot (1 - 2 \cdot -0.3)}

4166.6667 = \frac{20000}{3 \cdot (1 - 2 \cdot -0.3)}

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Bulk Modulus using Young's Modulus Solution

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

FIRST Step Consider the formula

K = \frac{E}{3 \cdot (1 - 2 \cdot 𝛎)}

Next Step Substitute values of Variables

∴

K = \frac{20000MPa}{3 \cdot (1 - 2 \cdot -0.3)}

Next Step Prepare to Evaluate

∴

K = \frac{20000}{3 \cdot (1 - 2 \cdot -0.3)}

Next Step Evaluate

∴

K = 4166666666.66667Pa

Next Step Convert to Output's Unit

∴

K = 4166.66666666667MPa

LAST Step Rounding Answer

∴

K = 4166.6667MPa

Bulk Modulus using Young's Modulus Formula Elements

Variables

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

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

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 Bulk Modulus

Go Bulk Modulus given Direct Stress

K = \frac{σ}{ε v}

Other formulas in Volumetric Strain category

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}

Go Longitudinal Strain given Volumetric and Lateral Strain

ε ln = ε v - (2 \cdot ε L)

Go Longitudinal Strain given Volumetric Strain and Poisson's Ratio

ε ln = \frac{ε v}{1 - 2 \cdot 𝛎}

How to Evaluate Bulk Modulus using Young's Modulus?

Bulk Modulus using Young's Modulus evaluator uses Bulk Modulus = Young's Modulus/(3*(1-2*Poisson's Ratio)) to evaluate 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 evaluate Bulk Modulus using Young's Modulus using this online evaluator? To use this online evaluator for Bulk Modulus using Young's Modulus, enter Young's Modulus (E) & Poisson's Ratio (𝛎) and hit the calculate button.

FAQs on Bulk Modulus using Young's Modulus

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

The formula of Bulk Modulus using Young's Modulus is expressed as Bulk Modulus = Young's Modulus/(3*(1-2*Poisson's Ratio)). Here is an example- 0.004167 = 20000000000/(3*(1-2*(-0.3))).

How to calculate Bulk Modulus using Young's Modulus?

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

What are the other ways to Calculate Bulk Modulus?

Here are the different ways to Calculate Bulk Modulus-

Bulk Modulus=Direct Stress/Volumetric Strain

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

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

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

Bulk Modulus using Young's 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 Bulk Modulus using Young's Modulus can be measured.

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