Liming value of Poisson’s ratio are
- A0 and 0.5Correct
- B0 and 0.25
- C0 and 1
- D0.5 and 1
Solution
Concept
Range of Poisson's ratio
Formula
0 ≤ ν ≤ 0.5
Step-by-step solution
1. K = E/3(1−2ν) must be positive, so ν < 0.5. 2. For ordinary materials ν > 0. 3. Limits: 0 and 0.5.
Explanation
Poisson's ratio of an isotropic material lies between 0 (no lateral strain) and 0.5 (incompressible).
Why the other options are wrong
A value of 1 would give a negative bulk modulus, and 0.25 is only a typical value.
Shortcut
ν: 0 to 0.5.
Common mistake
Taking 1 as the limit.
Correct answer: A) 0 and 0.5