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Youngs Modulus given Shear Modulus and Bulk Modulus Formula

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

E y = \frac{9 \cdot G \cdot K B}{(3 \cdot K B) + G}

E_y - Young's Modulus of Elasticity?G - Modulus of Rigidity Of Bar?K_B - Bulk Modulus of Elasticity?

Youngs Modulus given Shear Modulus and Bulk Modulus Example

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Here is how the Youngs Modulus given Shear Modulus and Bulk Modulus equation looks like with Values.

Here is how the Youngs Modulus given Shear Modulus and Bulk Modulus equation looks like with Units.

Here is how the Youngs Modulus given Shear Modulus and Bulk Modulus equation looks like.

40 = \frac{9 \cdot 15 \cdot 40}{(3 \cdot 40) + 15}

40MPa = \frac{9 \cdot 15MPa \cdot 40MPa}{(3 \cdot 40MPa) + 15MPa}

40 = \frac{9 \cdot 15 \cdot 40}{(3 \cdot 40) + 15}

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Youngs Modulus given Shear Modulus and Bulk Modulus Solution

Follow our step by step solution on how to calculate Youngs Modulus given Shear Modulus and Bulk Modulus?

FIRST Step Consider the formula

E y = \frac{9 \cdot G \cdot K B}{(3 \cdot K B) + G}

Next Step Substitute values of Variables

∴

E y = \frac{9 \cdot 15MPa \cdot 40MPa}{(3 \cdot 40MPa) + 15MPa}

Next Step Convert Units

∴

E y = \frac{9 \cdot 1.5E+7Pa \cdot 4E+7Pa}{(3 \cdot 4E+7Pa) + 1.5E+7Pa}

Next Step Prepare to Evaluate

∴

E y = \frac{9 \cdot 1.5E+7 \cdot 4E+7}{(3 \cdot 4E+7) + 1.5E+7}

Next Step Evaluate

∴

E y = 40000000Pa

LAST Step Convert to Output's Unit

∴

E y = 40MPa

Youngs Modulus given Shear Modulus and Bulk Modulus Formula Elements

Variables

Young's Modulus of Elasticity

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

Symbol: E_y

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Young's Modulus of Elasticity

Modulus of Rigidity Of Bar

Modulus of rigidity of Bar is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.

Symbol: G

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity Of Bar

Bulk Modulus of Elasticity

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

Symbol: K_B

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Bulk Modulus of Elasticity

Other formulas in Elastic Moduli category

Go Shear Modulus given Young's Modulus and Bulk Modulus

G = \frac{3 \cdot K B \cdot E y}{(9 \cdot K B) - E y}

Go Bulk Modulus given Shear Modulus and Young's Modulus

K B = G \cdot \frac{E y}{3 \cdot ((3 \cdot G) - E y)}

How to Evaluate Youngs Modulus given Shear Modulus and Bulk Modulus?

Youngs Modulus given Shear Modulus and Bulk Modulus evaluator uses Young's Modulus of Elasticity = (9*Modulus of Rigidity Of Bar*Bulk Modulus of Elasticity)/((3*Bulk Modulus of Elasticity)+Modulus of Rigidity Of Bar) to evaluate the Young's Modulus of Elasticity, Youngs Modulus given Shear Modulus and Bulk Modulus formula is defined as a relationship that expresses the elasticity of a material by linking its Young's modulus to its shear modulus and bulk modulus. This relationship helps in understanding how materials deform under stress. Young's Modulus of Elasticity is denoted by E_y symbol.

How to evaluate Youngs Modulus given Shear Modulus and Bulk Modulus using this online evaluator? To use this online evaluator for Youngs Modulus given Shear Modulus and Bulk Modulus, enter Modulus of Rigidity Of Bar (G) & Bulk Modulus of Elasticity (K_B) and hit the calculate button.

FAQs on Youngs Modulus given Shear Modulus and Bulk Modulus

What is the formula to find Youngs Modulus given Shear Modulus and Bulk Modulus?

The formula of Youngs Modulus given Shear Modulus and Bulk Modulus is expressed as Young's Modulus of Elasticity = (9*Modulus of Rigidity Of Bar*Bulk Modulus of Elasticity)/((3*Bulk Modulus of Elasticity)+Modulus of Rigidity Of Bar). Here is an example- 4E-5 = (9*15000000*40000000)/((3*40000000)+15000000).

How to calculate Youngs Modulus given Shear Modulus and Bulk Modulus?

With Modulus of Rigidity Of Bar (G) & Bulk Modulus of Elasticity (K_B) we can find Youngs Modulus given Shear Modulus and Bulk Modulus using the formula - Young's Modulus of Elasticity = (9*Modulus of Rigidity Of Bar*Bulk Modulus of Elasticity)/((3*Bulk Modulus of Elasticity)+Modulus of Rigidity Of Bar).

Can the Youngs Modulus given Shear Modulus and Bulk Modulus be negative?

No, the Youngs Modulus given Shear Modulus and Bulk Modulus, measured in Pressure cannot be negative.

Which unit is used to measure Youngs Modulus given Shear Modulus and Bulk Modulus?

Youngs Modulus given Shear Modulus and Bulk Modulus is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Youngs Modulus given Shear Modulus and Bulk Modulus can be measured.

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Youngs Modulus given Shear Modulus and Bulk Modulus Formula

Youngs Modulus given Shear Modulus and Bulk Modulus Example

Youngs Modulus given Shear Modulus and Bulk Modulus Solution

Youngs Modulus given Shear Modulus and Bulk Modulus Formula Elements

Other formulas in Elastic Moduli category

How to Evaluate Youngs Modulus given Shear Modulus and Bulk Modulus?

FAQs on Youngs Modulus given Shear Modulus and Bulk Modulus

Variable Name