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