Question

The value of Poisson’s ratio of most of the metals is

• A. \( 0.20 \)
• B. \( 0.28 \)
• C. \( 0.33 \)
• D. \( 1.5 \)

Hint:

For engineering metals, remember that Poisson’s ratio is typically around \( 0.33 \), indicating moderate lateral contraction relative to axial elongation.

Answer 1

The Correct Option is C

Step 1: Understanding Poisson’s Ratio Poisson’s ratio is defined as the ratio of lateral strain to longitudinal strain in a material subjected to axial loading. It is given by: \[ \nu = \frac{\text{Lateral strain}}{\text{Longitudinal strain}} \] Step 2: Typical Range for Metals Most ductile metals, such as aluminum, copper, and mild steel, exhibit a Poisson’s ratio in the range of 0.30 to 0.35. Hence, a widely accepted average value for most metals is approximately: \[ \nu \approx 0.33 \] This value indicates that the metal deforms laterally to about one-third of its axial strain.