Question:

Comparing the stress-strain diagrams of cast iron and aluminum alloy, which statement is true regarding their elastic moduli?

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Stiffness matters! Cast iron is stiffer than aluminum alloy — and that’s reflected in its higher elastic modulus.
Updated On: May 28, 2025
  • Cast iron and aluminum alloy have approximately the same elastic modulus
  • Cast iron has a higher elastic modulus than aluminum alloy
  • Aluminum alloy has a significantly higher elastic modulus than cast iron
  • The elastic modulus is irrelevant in comparing these two materials
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The Correct Option is B

Solution and Explanation

The elastic modulus (also called Young’s modulus) measures a material’s stiffness — i.e., how much it resists deformation under stress.
Comparison Between Cast Iron and Aluminum Alloy:
  • Cast iron typically has an elastic modulus of around 100–170 GPa.
  • Aluminum alloys generally have a lower modulus, approximately 65–80 GPa.
  • This means that, under the same applied stress, aluminum will deform more than cast iron.
Why the Other Options Are Incorrect:
  • (A) The elastic moduli of cast iron and aluminum are not approximately the same — there's a significant difference.
  • (C) Aluminum alloys have a lower, not higher, elastic modulus compared to cast iron.
  • (D) Elastic modulus is a key property in stress-strain analysis — it is very relevant when comparing materials.
Therefore, the correct statement is that cast iron has a higher elastic modulus than aluminum alloy.
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