What is the typical range of Poisson’s ratio for most materials?
- A1 to 0
- B0 to 0.5Correct
- C0.5 to 1
- D1 to 2
Solution
Concept
Typical range of Poisson's ratio
Formula
NONE
Step-by-step solution
1. Poisson's ratio is defined as the ratio of transverse strain to axial strain under uniaxial loading conditions. 2. For most standard engineering materials, Poisson's ratio typically falls within defined theoretical boundaries. Answer: B
Explanation
Poisson's ratio is defined as the ratio of transverse strain to axial strain under uniaxial loading. For most stable, isotropic engineering materials, this ratio ranges from 0 to 0.5. A value of 0.5 represents a completely incompressible material, while values below 0 indicate auxetic behavior, making option B correct.
Why the other options are wrong
A) Poisson's ratio values are not conventionally written in reverse order from 1 to 0. C) Values between 0.5 and 1 exceed the stable theoretical upper bound for normal isotropic solids.
Shortcut
Poisson's ratio for real materials ranges from 0 (cork) to 0.5 (rubber/incompressible).
Common mistake
Confusing the upper limit of Poisson's ratio for stable, isotropic materials (0.5) with values above 0.5 and selecting option C.
Correct answer: B) 0 to 0.5