Question:
The slope of the stress-strain curve in the elastic region is indicative of the material's:
The slope of the stress-strain curve in the elastic region is indicative of the material's:
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Elastic slope = stiffness = modulus of elasticity. The steeper the line, the stiffer the material!
Updated On: May 28, 2025
- Ductility
- Brittleness
- Hardness
- Modulus of elasticity
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The Correct Option is D
Solution and Explanation
In a stress-strain diagram, the elastic region is the initial straight-line portion of the curve where the material deforms elastically (i.e., it returns to its original shape once the stress is removed).
What Does the Slope Represent?
What Does the Slope Represent?
- The slope of this linear region is called the modulus of elasticity or Young’s modulus.
- It is given by: \[ E = \frac{\text{Stress}}{\text{Strain}} = \frac{\sigma}{\varepsilon} \]
- A steeper slope means a stiffer material, i.e., it takes more stress to produce a given amount of strain.
- This is a fundamental property indicating the stiffness of a material.
- (A) Ductility: Indicates plastic deformation capability, not related to the slope of the elastic region.
- (B) Brittleness: Relates to how easily a material fractures, not to elastic behavior.
- (C) Hardness: Measures resistance to indentation or scratching, not stiffness.
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