Question

Define Poisson's ratio. Write the expression for it.
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Answer 1

Answer:

Poisson's ratio is defined as the negative of the ratio of the lateral strain to the axial strain for a uniaxial stress state. ... Poisson's ratio is sometimes also reffered to as the ratio of the absolute values of lateral and axial strain. This ratio, like strain, is unitless since both strains are unitless.

Answer 2

Explanation:

Poisson's ratio is defined as the negative of the ratio of the lateral strain to the axial strain for a uniaxial stress state. ... Poisson's ratio is sometimes also reffered to as the ratio of the absolute values of lateral and axial strain. This ratio, like strain, is unitless since both strains are unitless. The formula of Poisson’s Ratio is

ν = – εtrans / εlongitudinal

in this, the strain or stress ε is defined in elementary form. also, the original length divides the change in length.

ε = δl/l

Poisson's ratio is a required constant in engineering analysis for determining the stress and deflection properties of materials (plastics, metals, etc.). It is a constant for determining the stress and deflection properties of structures such as beams, plates, shells, and rotating discs.