Question

Calculate the Poisson's ratio for the material, given Y =12.25 x 10^10 Nm^-2and G= 4.55 x 10^10 Nm-2​

Answer 1

Answer:

We have the relation as

Y=3K(1−2σ)

Substituting we get

7.25×10

11

=3×11×10

10

(1−2σ)

or

σ=0.39

Explanation:

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Answer 2

Answer:

The Poisson's Ratio is 0.346.

Explanation:

What is Poisson's Ratio?

In a sample that is elastically stretched, the ratio of the decrease in lateral measurement to the increase in length is called Poisson's ratio.

Y(given)= Young's modulus

G(given)= Modulus of Rigidity

μ= Poisson's ratio

Y=2G (1+μ)

12.25×$10^{10}$ = 2× 9.1×$10^{10}$(1+μ)

1+μ= $\frac{12.25}{9.1}$ (Since both numbers have the same powers, they are cancelled.)

1+μ= 1.346

μ=1.346-1

μ=0.346

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