Name: Poisson's Ratio
Uploaded: 2019-07-19
Duration: 9 min 46 s
Description: In this video, let us discuss Poisson's ratio, the most interesting and important measure of a property of a material. Watch this to explore.

Question

Draw a graph

\frac{b}{w}

the load suspended from a wire and the extension produced in the length of the wire. Mark the elastic limit on the graph. Which part of the graph is related to Young's modulus of the material of the wire?

Accepted Answer

Plot a graph $\frac{b}{w}$ stress and strain for the stretched wire. We shall get a curve of the type as shown in fig.

Form this curve we note that:

The portion $O A$ of the graph is a straight line, showing that stress is directly proportional to strain (Provided stress is not very high enough) upto a stage represented by point $'' A''$ on the graph. Thus Hook's Law is fully obeyed in the region $O A$ . It regains its original length completely corresponding to point $O$ by retracing the path $A O$ . Here the point $A$ corresponds to elastic $O A$ represents elastic range and the stress $O A'$ is called elastic strength of the material.

(ii) Point $B$ is called yield point ( $A B$ elastic limit).

(iii) $B P C$ Plastic behavior of the body

(iv) $D$ Facture point

Hook's Law is fully obeyed in the region $O A$ so this part of graph completely related from Young's modulus of elasticity.

Draw a graph $\frac{b}{w}$ the load suspended from a wire and the extension produced in the length of the wire. Mark the elastic limit on the graph. Which part of the graph is related to Young's modulus of the material of the wire?

Important Questions on Elasticity

Learn and Prepare for any exam you want !

Draw a graph bw the load suspended from a wire and the extension produced in the length of the wire. Mark the elastic limit on the graph. Which part of the graph is related to Young's modulus of the material of the wire?

Important Questions on Elasticity

Learn and Prepare for any exam you want !

Draw a graph $\frac{b}{w}$ the load suspended from a wire and the extension produced in the length of the wire. Mark the elastic limit on the graph. Which part of the graph is related to Young's modulus of the material of the wire?