FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Poisson's Ratio using Bulk Modulus and Young's Modulus Formula

GoPoisson's Ratio given Volumetric Strain and Longitudinal Strain Formula

Fx Copy

LaTeX Copy

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. Check FAQs

𝛎 = \frac{3 \cdot K - E}{6 \cdot K}

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

Poisson's Ratio using Bulk Modulus and Young's Modulus Example

With values

With units

Only example

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

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

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

0.3148 = \frac{3 \cdot 18000 - 20000}{6 \cdot 18000}

0.3148 = \frac{3 \cdot 18000MPa - 20000MPa}{6 \cdot 18000MPa}

0.3148 = \frac{3 \cdot 18000 - 20000}{6 \cdot 18000}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Strength of Materials » fx Poisson's Ratio using Bulk Modulus and Young's Modulus

Poisson's Ratio using Bulk Modulus and Young's Modulus Solution

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

FIRST Step Consider the formula

𝛎 = \frac{3 \cdot K - E}{6 \cdot K}

Next Step Substitute values of Variables

∴

𝛎 = \frac{3 \cdot 18000MPa - 20000MPa}{6 \cdot 18000MPa}

Next Step Convert Units

∴

𝛎 = \frac{3 \cdot 1.8E+10Pa - 2E+10Pa}{6 \cdot 1.8E+10Pa}

Next Step Prepare to Evaluate

∴

𝛎 = \frac{3 \cdot 1.8E+10 - 2E+10}{6 \cdot 1.8E+10}

Next Step Evaluate

∴

𝛎 = 0.314814814814815

LAST Step Rounding Answer

∴

𝛎 = 0.3148

Poisson's Ratio using Bulk Modulus and Young's Modulus Formula Elements

Variables

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

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

Other Formulas to find Poisson's Ratio

Go Poisson's Ratio given Volumetric Strain and Longitudinal Strain

𝛎 = \frac{1}{2} \cdot (1 - \frac{ε v}{ε longitudinal})

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 longitudinal - ε v}{2}

How to Evaluate Poisson's Ratio using Bulk Modulus and Young's Modulus?

Poisson's Ratio using Bulk Modulus and Young's Modulus evaluator uses Poisson's Ratio = (3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus) to evaluate the Poisson's Ratio, The Poisson's Ratio using Bulk Modulus and Young's Modulus formula is defined as dividing the term thrice the value of Bulk modulus minus Young's Modulus by six times the value of Bulk Modulus. Poisson's Ratio is denoted by 𝛎 symbol.

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

FAQs on Poisson's Ratio using Bulk Modulus and Young's Modulus

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

The formula of Poisson's Ratio using Bulk Modulus and Young's Modulus is expressed as Poisson's Ratio = (3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus). Here is an example- 0.314815 = (3*18000000000-20000000000)/(6*18000000000).

How to calculate Poisson's Ratio using Bulk Modulus and Young's Modulus?

With Bulk Modulus (K) & Young's Modulus (E) we can find Poisson's Ratio using Bulk Modulus and Young's Modulus using the formula - Poisson's Ratio = (3*Bulk Modulus-Young's Modulus)/(6*Bulk Modulus).

What are the other ways to Calculate Poisson's Ratio?

Here are the different ways to Calculate Poisson's Ratio-

Poisson's Ratio=1/2*(1-Volumetric Strain/Longitudinal Strain)

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit