Which of the following has the highest lateral strain when there

Which of the following has the highest lateral strain when there
| Which of the following has the highest lateral strain when there is a longitudinal strain because of longitudinal force?

A. Iron

B. Rubber

C. Copper

D. Bronze

Please scroll down to see the correct answer and solution guide.

Right Answer is: B

SOLUTION

Explanation:

Lateral strain:

  • The strain at right angles to the direction of applied load is known as LATERAL STRAIN.
  • It is the strain caused in the transvers direction of the body due to longitudinal force.
  • It depends on the Poisson's ratio(μ) of the material.

\(μ =\frac {-lateral~strain}{longitudinal~ stress}\) 

∴ lateral strain ∝ μ 

and 'μ' ⇒ rubber > Bronze > Copper > Iron

Hence Rubber has highest lateral strain.

  • Universal range of Poisson's ratio (μ) = -1 to 0.5
  • But range of 'μ' for most of material (>99.9%) is 0 to 0.5 
  • For perfectly plastic material 'μ' = 0.5, example- Pure rubber
  • For elastic material 'μ' = 0.25 - 0.42
  • Material Poisson's ratio(μ) 
    Rubber 0.4999
    Gold 0.43
    Bronze 0.34
    Copper 0.33
    Aluminium alloy 0.32
    Steel 0.27 - 0.30
    Iron 0.24
    Glass 0.2
    Foam 0.10 - 0.50
    Cork 0