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Which inequality must Poisson's ratio (sigma) of a material satisfy?

1. -1 < sigma < 0.5
2. -0.5 < sigma < 1.0
3. 0.5 < sigma < 1.0
4. -10 < sigma < -0.5

Correct answer: -1 < sigma < 0.5

Solution

For the elastic moduli to remain positive, Poisson's ratio must lie between -1 and 0.5 (most ordinary materials lie between 0 and 0.5).

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