Asquare steel bar has a length of 7.4 ft and a 2.9 in by 2.9 in cross section and is subjected to axial tension. the final length is 7.40504 ft . the final side length is 2.89945 in . what is poisson's ratio for the material?

Poission Ratio = 0.2784

Step-by-step explanation:

we know that

Poission ratio is defined as

μ =

We also know that lateral strain =

In our case

Final width = 2.89945 in

Initial width = 2.9 in (Area of cross section (width x depth) = 2.9 in x 2.9 in)

Thus  lateral strain =

Lateral strain =  

Similarly longitudinal strain =

Thus  longitudinal strain =

Longitudinal strain =  

Thus by formula poission ratio =  

Poission Ratio = 0.2784

(a) the volume of the cone is 20/3 in3

hence, option a is correct.