Poisson's Ratio (σ)

A steel wire of cross-section $A$ is stretched horizontally between two clamps located at a distance $l$ from each other. A load $W$ is suspended from the mid-point of the wire. What is the vertical distance through which the mid-point of the wire moves down ? Young's modulus of steel is $Y$.

For a given material, the Young's modulus is $2.4$ times that of rigidity modulus. Its Poisson's ratio is

A material has Poisson's ratio $0.50$. If a uniform rod of it suffers a longitudinal strain of $2\times {10}^{-3}$, then the percentage change in volume is

The Poisson ratio of the material is $0.5$. If a force is applied be a wire of this material, there is a decrease in cross-sectional area by $4\%$. The percentage increase in length is

The length of a wire is $13.5 \mathrm{cm}$ and its radius is $1 \mathrm{mm}$. Its length is increased by $0.6 \mathrm{cm}$ by a force applied along its length. If this causes a shortening of radius by $\frac{1}{500} \mathrm{mm}$, the Poisson's ratio for the material of the wire is

A mass of $10 \mathrm{kg}$ is hung from one end of a copper wire $3 \mathrm{m}$ long and $1 \mathrm{mm}$ in diameter. $Y$ for copper is $12.5\times {10}^{11}$ dyne ${\mathrm{cm}}^{-2}$. What is the elongation of the wire ? If Poisson's ratio of copper be $0.26$, what is the lateral compression?

Write down the relations between the different modulii of elasticity. From these relations obtain the limiting values of the Poissons ratio.

Define Poisson's ratio. Is it an elastic modulus ?

Show that a shearing strain produced in a rectangular body is equivalent to two equal longitudinal strains, one of extension and the other of compression, at the right angle to each other. Find their values.

Find the limiting values of Poisson's ratio.

What is Poisson's ratio of a material? Why it is not an elastic modulus?

"The Poisson's ratio depends only on the nature of the material and not at all on the stress applied within elastic limit" - Explain.