Bulk Modulus given Shear Modulus and Young's Modulus Calculator

✖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.ⓘ Modulus of rigidity Of Bar [G]			+10% -10%
✖Young's Modulus of elasticity is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus of elasticity [E_y]			+10% -10%

✖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.ⓘ Bulk Modulus given Shear Modulus and Young's Modulus [K_B]

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Formula

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Bulk Modulus given Shear Modulus and Young's Modulus

Formula

`"K"_{"B"} = "G"*"E"_{"y"}/(3*((3*"G")-"E"_{"y"}))`

Example

`"40MPa"="15MPa"*"40MPa"/(3*((3*"15MPa")-"40MPa"))`

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Bulk Modulus given Shear Modulus and Young's Modulus Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
K_B = G*E_y/(3*((3*G)-E_y))
This formula uses 3 Variables

Variables Used

Bulk modulus of elasticity - (Measured in Pascal) - 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.
Modulus of rigidity Of Bar - (Measured in Pascal) - 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.
Young's Modulus of elasticity - (Measured in Pascal) - Young's Modulus of elasticity is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

STEP 1: Convert Input(s) to Base Unit

Modulus of rigidity Of Bar: 15 Megapascal --> 15000000 Pascal (Check conversion here)
Young's Modulus of elasticity: 40 Megapascal --> 40000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_B = G*E_y/(3*((3*G)-E_y)) --> 15000000*40000000/(3*((3*15000000)-40000000))

Evaluating ... ...

K_B = 40000000

STEP 3: Convert Result to Output's Unit

40000000 Pascal -->40 Megapascal (Check conversion here)

FINAL ANSWER

40 Megapascal <-- Bulk modulus of elasticity

(Calculation completed in 00.020 seconds)

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AISSMS College of Engineering, Pune (AISSMSCOE, Pune), Pune

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< 3 Elastic Constants Calculators

Shear Modulus given Young's Modulus and Bulk Modulus

Go Modulus of rigidity Of Bar = (3*Bulk modulus of elasticity*Young's Modulus of elasticity)/((9*Bulk modulus of elasticity)-Young's Modulus of elasticity)

Bulk Modulus given Shear Modulus and Young's Modulus

Go 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))

Youngs Modulus given Shear Modulus and Bulk Modulus

Go 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)

Bulk Modulus given Shear Modulus and Young's Modulus 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))
K_B = G*E_y/(3*((3*G)-E_y))

All about bulk modulus.

The bulk modulus property of the material is related to its behavior of elasticity. It is one of the measures of mechanical properties of solids. Bulk elastic properties of a material are used to find out how much it will compress under a given amount of external pressure. It is very important to find the ratio of the change in pressure to the fractional volume compression. The bulk modulus describes how a substance reacts when it is compressed uniformly. It is a fact that when the external forces are perpendicular to the surface, it is distributed uniformly over the surface of the object. This may also occur when an object is immersed in a fluid and undergo a change in volume without a change in shape.

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

Bulk Modulus given Shear Modulus and Young's Modulus calculator 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 calculate 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 calculate Bulk Modulus given Shear Modulus and Young's Modulus using this online calculator? To use this online calculator 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. Here is how the Bulk Modulus given Shear Modulus and Young's Modulus calculation can be explained with given input values -> 4E-5 = 15000000*40000000/(3*((3*15000000)-40000000)).

FAQ

What is Bulk Modulus given Shear Modulus and Young's Modulus?

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 and is represented as K_B = G*E_y/(3*((3*G)-E_y)) or 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)). 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 & Young's Modulus of elasticity is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

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

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 is calculated using 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 calculate Bulk Modulus given Shear Modulus and Young's Modulus, you need Modulus of rigidity Of Bar (G) & Young's Modulus of elasticity (E_y). With our tool, you need to enter the respective value for Modulus of rigidity Of Bar & Young's Modulus of elasticity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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