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Bulk Modulus given Shear Modulus and Young's Modulus Formula

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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. Check FAQs

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

K_B - Bulk modulus of elasticity?G - Modulus of rigidity Of Bar?E_y - Young's Modulus of elasticity?

Bulk Modulus given Shear Modulus and Young's Modulus Example

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Here is how the Bulk Modulus given Shear Modulus and Young's Modulus equation looks like with Values.

Here is how the Bulk Modulus given Shear Modulus and Young's Modulus equation looks like with Units.

Here is how the Bulk Modulus given Shear Modulus and Young's Modulus equation looks like.

40 = 15 \cdot \frac{40}{3 \cdot ((3 \cdot 15) - 40)}

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

40 = 15 \cdot \frac{40}{3 \cdot ((3 \cdot 15) - 40)}

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Bulk Modulus given Shear Modulus and Young's Modulus Solution

Follow our step by step solution on how to calculate Bulk Modulus given Shear Modulus and Young's Modulus?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K B = 15MPa \cdot \frac{40MPa}{3 \cdot ((3 \cdot 15MPa) - 40MPa)}

Next Step Convert Units

∴

K B = 1.5E+7Pa \cdot \frac{4E+7Pa}{3 \cdot ((3 \cdot 1.5E+7Pa) - 4E+7Pa)}

Next Step Prepare to Evaluate

∴

K B = 1.5E+7 \cdot \frac{4E+7}{3 \cdot ((3 \cdot 1.5E+7) - 4E+7)}

Next Step Evaluate

∴

K B = 40000000Pa

LAST Step Convert to Output's Unit

∴

K B = 40MPa

Bulk Modulus given Shear Modulus and Young's Modulus Formula Elements

Variables

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

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

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

Other formulas in Elastic Moduli category

Go Youngs Modulus given Shear Modulus and Bulk Modulus

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

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}

How to Evaluate Bulk Modulus given Shear Modulus and Young's Modulus?

Bulk Modulus given Shear Modulus and Young's Modulus evaluator uses Bulk modulus of elasticity = Modulus of rigidity Of Bar*Young's Modulus of elasticity/(3*((3*Modulus of rigidity Of Bar)-Young's Modulus of elasticity)) to evaluate the Bulk modulus of elasticity, The Bulk Modulus given Shear Modulus and Young's Modulus is the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume. Bulk modulus of elasticity is denoted by K_B symbol.

How to evaluate Bulk Modulus given Shear Modulus and Young's Modulus using this online evaluator? To use this online evaluator for Bulk Modulus given Shear Modulus and Young's Modulus, enter Modulus of rigidity Of Bar (G) & Young's Modulus of elasticity (E_y) and hit the calculate button.

FAQs on Bulk Modulus given Shear Modulus and Young's Modulus

What is the formula to find Bulk Modulus given Shear Modulus and Young's Modulus?

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

How to calculate Bulk Modulus given Shear Modulus and Young's Modulus?

With Modulus of rigidity Of Bar (G) & Young's Modulus of elasticity (E_y) we can find Bulk Modulus given Shear Modulus and Young's Modulus using the formula - Bulk modulus of elasticity = Modulus of rigidity Of Bar*Young's Modulus of elasticity/(3*((3*Modulus of rigidity Of Bar)-Young's Modulus of elasticity)).

Can the Bulk Modulus given Shear Modulus and Young's Modulus be negative?

No, the Bulk Modulus given Shear Modulus and Young's Modulus, measured in Pressure cannot be negative.

Which unit is used to measure Bulk Modulus given Shear Modulus and Young's Modulus?

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

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Bulk Modulus given Shear Modulus and Young's Modulus Formula

Bulk Modulus given Shear Modulus and Young's Modulus Example

Bulk Modulus given Shear Modulus and Young's Modulus Solution

Bulk Modulus given Shear Modulus and Young's Modulus Formula Elements

Other formulas in Elastic Moduli category

How to Evaluate Bulk Modulus given Shear Modulus and Young's Modulus?

FAQs on Bulk Modulus given Shear Modulus and Young's Modulus

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