The Hooke’s law is valid for

by

The Hooke’s law is valid for

only proportional region of the stress-strain curve
entire stress-strain curve
entire elastic region of the stress-strain curve
elastic as well as plastic region of the stress-strain curve
This question was previously asked in
UPSC CDS-1 – 2019
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The correct answer is A. Hooke’s law states that the stress is directly proportional to the strain within the elastic limit of a material. More specifically, this linear relationship holds true only in the initial part of the elastic region, which is known as the proportional region. Beyond the proportional limit, the material may still behave elastically (return to its original shape upon unloading), but the stress-strain relationship becomes non-linear.
Hooke’s law (Stress ∝ Strain) is strictly valid only in the proportional region of the stress-strain curve.
The stress-strain curve for a ductile material typically shows several regions: proportional limit, elastic limit, yield point, ultimate tensile strength, and fracture point. The elastic limit is the maximum stress a material can withstand without permanent deformation. The proportional limit is the point up to which stress is directly proportional to strain. For many materials, these two points are very close, but Hooke’s law is defined by the proportionality.

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