Question

For a certain material E=2K, determine the Poisson’s ratio and find E/G? solution
​

Answer 1

Answer:

K is the Bulk modulus. G is shear modulus or modulus of rigidity. E is Young's modulus or modulus of Elasticity.

...

Elastic constant formula.

Formula SI Units

E=3K\left N/m2 or pascal(Pa)

( 1-2\mu \right )

Answer 2

Concept:

Poisson's ratio is a measurement of material deformation in a direction perpendicular to the applied force. Poisson's ratio is essentially a measure of a rock's strength, which is another important rock attribute connected to closure stress.

Find:

The Poisson's ratio and the ratio of young's modulus to the modulus of rigidity.

Solution:

$E=3K(1-2\mu)\\2K=3K(1-2\mu)\\2=3-6\mu\\\mu= \frac{1}{6}$

The Poisson's ratio is $\frac{1}{6}$.

$E=2G(1+\mu)\\\frac{E}{G}=2(1+\mu)\\\frac{E}{G}=2(1+\frac{1}{6})\\\frac{E}{G}=\frac{7}{3}$

Hence, the value of $\frac{E}{G}$ is $\frac{7}{3}$.

#SPJ3