Shear Modulus given Young's Modulus and Bulk Modulus Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
G = (3*KB*Ey)/((9*KB)-Ey)
This formula uses 3 Variables
Variables Used
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.
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
Bulk modulus of elasticity: 18.5 Megapascal --> 18500000 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
G = (3*KB*Ey)/((9*KB)-Ey) --> (3*18500000*40000000)/((9*18500000)-40000000)
Evaluating ... ...
G = 17549407.1146245
STEP 3: Convert Result to Output's Unit
17549407.1146245 Pascal -->17.5494071146245 Megapascal (Check conversion here)
FINAL ANSWER
17.5494071146245 17.54941 Megapascal <-- Modulus of rigidity Of Bar
(Calculation completed in 00.004 seconds)

Credits

Created by Vivek Gaikwad
AISSMS College of Engineering, Pune (AISSMSCOE, Pune), Pune
Vivek Gaikwad has created this Calculator and 25+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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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)

Shear Modulus given Young's Modulus and Bulk Modulus Formula

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)
G = (3*KB*Ey)/((9*KB)-Ey)

All about shear modulus

Shear modulus is also known as the modulus of rigidity, it is a constant number that describes the elastic properties of a solid, under the use of transverse internal forces such as arise.
For example, in torsion, twisting of the metal about its own axis is known as the shear modulus. In these types of material, any of the small volumes of the material is distorted, in a way that both faces of the material slide parallel to each other for a small distance and the other two faces change from the square to the diamond shape.

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

Shear Modulus given Young's Modulus and Bulk Modulus calculator uses 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) to calculate the Modulus of rigidity Of Bar, The Shear Modulus given Young's Modulus and Bulk Modulus is the ratio of shear stress to the shear strain. Modulus of rigidity Of Bar is denoted by G symbol.

How to calculate Shear Modulus given Young's Modulus and Bulk Modulus using this online calculator? To use this online calculator for Shear Modulus given Young's Modulus and Bulk Modulus, enter Bulk modulus of elasticity (KB) & Young's Modulus of elasticity (Ey) and hit the calculate button. Here is how the Shear Modulus given Young's Modulus and Bulk Modulus calculation can be explained with given input values -> 1.8E-5 = (3*18500000*40000000)/((9*18500000)-40000000).

FAQ

What is Shear Modulus given Young's Modulus and Bulk Modulus?
The Shear Modulus given Young's Modulus and Bulk Modulus is the ratio of shear stress to the shear strain and is represented as G = (3*KB*Ey)/((9*KB)-Ey) or 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). 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 & 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 Shear Modulus given Young's Modulus and Bulk Modulus?
The Shear Modulus given Young's Modulus and Bulk Modulus is the ratio of shear stress to the shear strain is calculated using 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). To calculate Shear Modulus given Young's Modulus and Bulk Modulus, you need Bulk modulus of elasticity (KB) & Young's Modulus of elasticity (Ey). With our tool, you need to enter the respective value for Bulk modulus of elasticity & 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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