Limiting Values of Poisson Ratio

The Poisson ratio is a measure of the deformation in the transverse direction when an axial load is applied to a material. It is defined as the ratio of lateral strain to the axial strain.

The Poisson ratio can range from -1 to 0.5, with values between 0 and 0.5 being the most common. However, there are certain limiting values that are important to consider.

Option B: -1 to 0.5

This is the correct answer because it includes the full range of possible Poisson ratios. A Poisson ratio of -1 means that a material will experience a transverse expansion when subjected to an axial load, which is extremely rare but theoretically possible. A Poisson ratio of 0.5 means that a material will experience no transverse deformation when subjected to an axial load, which is also rare but possible in certain materials.

Option A: 0 to 0.5

This option is not correct because it excludes the possibility of a negative Poisson ratio. While negative Poisson ratios are extremely rare, they are theoretically possible and have been observed in certain materials.

Option C: 0 to 0.5

This option is not correct because it is the same as option A. The range of possible Poisson ratios is not limited to positive values only.

Option D: 0 to -0.5

This option is not correct because it includes only negative values of the Poisson ratio. While negative Poisson ratios are possible, they are not the only values that can occur.