Materials property – Poisson’s ratio of cast iron Within what approximate range does Poisson’s ratio for cast iron typically lie?

Introduction / Context:Poisson’s ratio ν relates lateral strain to axial strain under uniaxial loading. It is a key elastic constant that influences deformation behavior and is used in stress–strain relations and deflection analysis.

Given Data / Assumptions:

• Material: cast iron (commonly gray cast iron).
• Elastic, small-strain regime.

Concept / Approach:Typical ν for metals ranges from about 0.25 to 0.35 for ductile steels and aluminums. Cast irons are more brittle and display lower Poisson’s ratio, commonly near 0.22–0.25 depending on grade and microstructure.

Step-by-Step Solution:Identify standard handbook range for cast iron: ν ≈ 0.21 to 0.26.Compare with options and select the correct interval.

Verification / Alternative check:Cross-check with engineering handbooks: gray cast iron often cited around ν = 0.23; nodular/ductile iron can be slightly higher but still within or near the stated band.

Why Other Options Are Wrong:0.33–0.37 and 0.31–0.34 are more typical for steels/aluminum alloys. 0.32–0.42 is too high for cast iron. 0.12–0.18 is too low for common engineering cast irons.

Common Pitfalls:Using a generic ν = 0.3 for all metals leads to noticeable errors in deflection predictions for cast iron components.

Final Answer:0.21 to 0.26