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Young's Modulus using Modulus of Rigidity Formula

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The Young's Modulus Bar is a measure of the stiffness of a material, indicating how much it will deform under stress in a direct strain scenario. Check FAQs

E = 2 \cdot G \cdot (1 + 𝛎)

E - Young's Modulus Bar?G - Modulus of Rigidity of Bar?𝛎 - Poisson's Ratio?

Young's Modulus using Modulus of Rigidity Example

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

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

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

39 = 2 \cdot 15 \cdot (1 + 0.3)

39MPa = 2 \cdot 15MPa \cdot (1 + 0.3)

39 = 2 \cdot 15 \cdot (1 + 0.3)

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Young's Modulus using Modulus of Rigidity Solution

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

FIRST Step Consider the formula

E = 2 \cdot G \cdot (1 + 𝛎)

Next Step Substitute values of Variables

∴

E = 2 \cdot 15MPa \cdot (1 + 0.3)

Next Step Convert Units

∴

E = 2 \cdot 1.5E+7Pa \cdot (1 + 0.3)

Next Step Prepare to Evaluate

∴

E = 2 \cdot 1.5E+7 \cdot (1 + 0.3)

Next Step Evaluate

∴

E = 39000000Pa

LAST Step Convert to Output's Unit

∴

E = 39MPa

Young's Modulus using Modulus of Rigidity Formula Elements

Variables

Young's Modulus Bar

The Young's Modulus Bar is a measure of the stiffness of a material, indicating how much it will deform under stress in a direct strain scenario.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Young's Modulus Bar

Modulus of Rigidity of Bar

The Modulus of rigidity of Bar is a measure of a material's ability to resist deformation under shear stress, indicating its stiffness and structural integrity.

Symbol: G

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity of Bar

Poisson's Ratio

The Poisson's Ratio is a measure of the ratio of transverse strain to axial strain in a material when it is subjected to stress.

Symbol: 𝛎

Measurement: NAUnit: Unitless

Note: Value should be between -1 to 0.5.

Formulas to find Poisson's Ratio

Other formulas in Direct Strains of Diagonal category

Go Tensile Strain in Diagonal of Square Block due to Tensile Stress

ε tensile = \frac{σ t}{E bar}

Go Tensile strain in diagonal BD of square block ABCD due to compressive stress

ε tensile = \frac{𝛎 \cdot σ t}{E bar}

Go Total Tensile Strain in Diagonal of Square Block

ε diagonal = (\frac{σ t}{E bar}) \cdot (1 + 𝛎)

Go Poisson's ratio given tensile strain due to compressive stress in diagonal BD

𝛎 = \frac{ε diagonal \cdot E bar}{σ tp}

How to Evaluate Young's Modulus using Modulus of Rigidity?

Young's Modulus using Modulus of Rigidity evaluator uses Young's Modulus Bar = 2*Modulus of Rigidity of Bar*(1+Poisson's Ratio) to evaluate the Young's Modulus Bar, Young's Modulus using Modulus of Rigidity formula is defined as a relationship that describes the elasticity of a material by connecting its modulus of rigidity and Poisson's ratio. It quantifies how a material deforms under stress, providing insights into its mechanical properties and behavior under load. Young's Modulus Bar is denoted by E symbol.

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

FAQs on Young's Modulus using Modulus of Rigidity

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

The formula of Young's Modulus using Modulus of Rigidity is expressed as Young's Modulus Bar = 2*Modulus of Rigidity of Bar*(1+Poisson's Ratio). Here is an example- 3.9E-5 = 2*15000000*(1+0.3).

How to calculate Young's Modulus using Modulus of Rigidity?

With Modulus of Rigidity of Bar (G) & Poisson's Ratio (𝛎) we can find Young's Modulus using Modulus of Rigidity using the formula - Young's Modulus Bar = 2*Modulus of Rigidity of Bar*(1+Poisson's Ratio).

Can the Young's Modulus using Modulus of Rigidity be negative?

No, the Young's Modulus using Modulus of Rigidity, measured in Pressure cannot be negative.

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

Young's Modulus using Modulus of Rigidity is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Young's Modulus using Modulus of Rigidity can be measured.

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