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If a piece of material neither expands nor contracts in volume when subjected to stresses, then the Poisson’s ratio must be

  1. Zero
  2. 0.25
  3. 0.33
  4. 0.5

Answer (Detailed Solution Below)

Option 4 : 0.5
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Detailed Solution

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Explanation:

ϵv = ϵx + ϵy + ϵz

Total strain or volumetric strain is given by 

There will be no change in volume if volumetric strain is zero.

ϵv = 0 ⇒  ν = 0.5

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