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Question

Question: The value of Poisson's ratio lies between...

The value of Poisson's ratio lies between

A

–1 to 12\frac { 1 } { 2 }

B

34- \frac { 3 } { 4 } to 12- \frac { 1 } { 2 }

C

12- \frac { 1 } { 2 } to 1

D

1 to 2

Answer

–1 to 12\frac { 1 } { 2 }

Explanation

Solution

Y=3K(12σ),Y=2η(1+σ)Y = 3 K ( 1 - 2 \sigma ) , Y = 2 \eta ( 1 + \sigma )

For Y=0Y = 0 we get 12σ=01 - 2 \sigma = 0, also 1+σ=01 + \sigma = 0

σ\Rightarrow \sigma lies between 12\frac { 1 } { 2 } and 1- 1.