Youngs Modulus given Shear Modulus and Bulk 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%
✖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 of elasticity [K_B]			+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.ⓘ Youngs Modulus given Shear Modulus and Bulk Modulus [E_y]

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Formula

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Youngs Modulus given Shear Modulus and Bulk Modulus

Formula

`"E"_{"y"} = (9*"G"*"K"_{"B"})/((3*"K"_{"B"})+"G")`

Example

`"35.42553MPa"=(9*"15MPa"*"18.5MPa")/((3*"18.5MPa")+"15MPa")`

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Youngs Modulus given Shear Modulus and Bulk Modulus Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
E_y = (9*G*K_B)/((3*K_B)+G)
This formula uses 3 Variables

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Modulus of rigidity Of Bar: 15 Megapascal --> 15000000 Pascal (Check conversion here)
Bulk modulus of elasticity: 18.5 Megapascal --> 18500000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_y = (9*G*K_B)/((3*K_B)+G) --> (9*15000000*18500000)/((3*18500000)+15000000)

Evaluating ... ...

E_y = 35425531.9148936

STEP 3: Convert Result to Output's Unit

35425531.9148936 Pascal -->35.4255319148936 Megapascal (Check conversion here)

FINAL ANSWER

35.4255319148936 ≈ 35.42553 Megapascal <-- Young's Modulus of elasticity

(Calculation completed in 00.004 seconds)

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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)

Youngs Modulus given Shear Modulus and Bulk Modulus 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)
E_y = (9*G*K_B)/((3*K_B)+G)

What exactly is young's modulus?

young's modulus is a mechanical property that measures the stiffness of a solid material. It describes the relationship between stress (force per unit area) and strain (proportional deformation in an object).
For example, a stiff material needs more force to deform compared to a soft material. Rubber has a 1MPa modulus, and iron has a 200GPa modulus (200.000 times more). For the same force applied to a sample with the same thickness, the rubber samples will extend 200.000 times more.

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

Youngs Modulus given Shear Modulus and Bulk Modulus calculator 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 calculate the Young's Modulus of elasticity, The Youngs Modulus given Shear Modulus and Bulk Modulus is the ratio of stress (force per unit area) to the corresponding strain (proportional deformation in an object). Young's Modulus of elasticity is denoted by E_y symbol.

How to calculate Youngs Modulus given Shear Modulus and Bulk Modulus using this online calculator? To use this online calculator 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. Here is how the Youngs Modulus given Shear Modulus and Bulk Modulus calculation can be explained with given input values -> 3.5E-5 = (9*15000000*18500000)/((3*18500000)+15000000).

FAQ

What is Youngs Modulus given Shear Modulus and Bulk Modulus?

The Youngs Modulus given Shear Modulus and Bulk Modulus is the ratio of stress (force per unit area) to the corresponding strain (proportional deformation in an object) and is represented as E_y = (9*G*K_B)/((3*K_B)+G) or 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). 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 & 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.

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

The Youngs Modulus given Shear Modulus and Bulk Modulus is the ratio of stress (force per unit area) to the corresponding strain (proportional deformation in an object) is calculated using 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 calculate Youngs Modulus given Shear Modulus and Bulk Modulus, you need Modulus of rigidity Of Bar (G) & Bulk modulus of elasticity (K_B). With our tool, you need to enter the respective value for Modulus of rigidity Of Bar & Bulk 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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