A square steel bar has a length of 5.1 ft and a 2.7 in by 2.7 in cross section and is subjected to axial tension. The final length is 5.10295 ft . The final side length is 2.69953 in . What is Poisson's ratio for the material

The Poisson's ratio for the material is 0.0134.

Step-by-step explanation:

The Poisson's ratio (), no unit, is the ratio of transversal strain (), in inches, to axial strain (), in inches:

(1)

(2)

(3)

Where:

- Initial axial length, in inches.

- Final axial length, in inches.

- Initial transversal length, in inches.

- Final transversal length, in inches.

If we know that , , and , then the Poisson's ratio is:

The Poisson's ratio for the material is 0.0134.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

x/3-10=8

x/3=18

x=48