Shear Modulus given Young's Modulus and Bulk Modulus Calculator

✖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.ⓘ Young's Modulus of Elasticity [E_y]			+10% -10%

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

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Stress and Strain Formula PDF PDF Image

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*K_B*E_y)/((9*K_B)-E_y)
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: 40 Megapascal --> 40000000 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*K_B*E_y)/((9*K_B)-E_y) --> (3*40000000*40000000)/((9*40000000)-40000000)

Evaluating ... ...

G = 15000000

STEP 3: Convert Result to Output's Unit

15000000 Pascal -->15 Megapascal (Check conversion here)

FINAL ANSWER

15 Megapascal <-- Modulus of Rigidity Of Bar

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Stress and Strain » Elastic Constants » Mechanical » Elastic Moduli » Shear Modulus given Young's Modulus and Bulk Modulus

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

Anshika Arya has verified this Calculator and 2500+ more calculators!

< Elastic Moduli Calculators

Shear Modulus given Young's Modulus and Bulk Modulus

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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)
G = (3*K_B*E_y)/((9*K_B)-E_y)

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, Shear Modulus given Young's Modulus and Bulk Modulus formula is defined as a relationship that describes the material's ability to deform under shear stress in relation to its Young's modulus and bulk modulus. It provides insight into the elastic behavior of materials under different loading conditions. 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 (K_B) & Young's Modulus of Elasticity (E_y) 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 -> 1.5E-5 = (3*40000000*40000000)/((9*40000000)-40000000).

FAQ

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

Shear Modulus given Young's Modulus and Bulk Modulus formula is defined as a relationship that describes the material's ability to deform under shear stress in relation to its Young's modulus and bulk modulus. It provides insight into the elastic behavior of materials under different loading conditions and is represented as G = (3*K_B*E_y)/((9*K_B)-E_y) 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?

Shear Modulus given Young's Modulus and Bulk Modulus formula is defined as a relationship that describes the material's ability to deform under shear stress in relation to its Young's modulus and bulk modulus. It provides insight into the elastic behavior of materials under different loading conditions 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 (K_B) & Young's Modulus of Elasticity (E_y). 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.

Home

FREE PDFs

🔍 Search