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algol [13]
3 years ago
14

A square steel bar has a length of 9.7 ft and a 2.9 in by 2.9 in cross section and is subjected to axial tension. The final leng

th is 9.70710 ft . The final side length is 2.89933 in . What is Poisson's ratio for the material? Express your answer to three significant figures.
Physics
1 answer:
alisha [4.7K]3 years ago
5 0

The Poisson's ratio definition is given as the change in lateral deformation over longitudinal deformation. Mathematically it could be expressed like this,

\upsilon = \frac{\text{Lateral Strain}}{\text{Longitudinal Strain}}

\upsilon = \frac{(\delta a/a)}{(\delta l/l)}

Replacing with our values we would have to,

\upsilon = \frac{(2.89933-2.9/2.9)}{(9.70710-9.7/97)}

\upsilon = 0.1977

Therefore Poisson's ratio is 0.1977.

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The diagram for this question is shown on the first uploaded image  

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