Poisson’s Ratio

Liberty Educational Video

Critical Concepts – Poisson’s Ratio

ε = Strain (axial) = δ/LF

A

δ

L

Deformation Of A Core Sample Due To Uniaxial Compressive Load

Poisson’s Ratio:Ratio of relative radial expansion to relative axial shortening

Shortening ALONG sample:

ν = Poisson’s Ratio = εr / ε (-1 , ½)

εr = Strain (radial) = δr /RExpansion PERPENDICULAR to sample:

δr

R

Poisson’s Ratio of Jell-O

Poisson’s Ratio of Jell-O

Poisson’s Ratio of Jell-O

Poisson’s Ratio of Jell-O

Poisson’s Ratio of Jell-O

Poisson’s Ratio of Jell-O

31% shorter

~14% wider

Poisson’s Ratio: 0.43

Poisson’s Ratio of Jell-O

31% shorter

Poisson’s Ratio of Generic Gelatin

Poisson’s Ratio of Generic Gelatin

Poisson’s Ratio of Generic Gelatin

Poisson’s Ratio of Generic Gelatin

Poisson’s Ratio of Generic Gelatin

Poisson’s Ratio of Generic Gelatin

29% shorter

~13% wider

Poisson’s Ratio: 0.44

The Poisson’s Ratio of Jell-O, Wood & Rock

Simple Poisson’s Ratio Math Radial-Axial Strain Diagram

Poisson’s Ratio:The slope in a radial vs axial strain diagram

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