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The Hooke's law is valid for
  • a)
    only proportional region of the stress strain curve
  • b)
    entire stress strain curve
  • c)
    entire elastic region of the stress strain curve
  • d)
    elastic as well as plastic region of the stress strain curve
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The Hookes law is valid fora)only proportional region of the stress st...
Hooke's law states that within the elastic limit, stress developed is directly proportional to the strain produced in a body.
Hooke’s law is valid only in the linear part of the stress-strain curve. Hence, statement 1 is correct.
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The Hookes law is valid fora)only proportional region of the stress st...
Understanding Hooke's Law
Hooke's Law states that the force exerted by a spring is directly proportional to the amount it is stretched or compressed, as long as the limit of elasticity is not exceeded. This principle applies specifically to the elastic behavior of materials.
Proportional Region of the Stress-Strain Curve
- Hooke's Law is valid only in the initial, linear portion of the stress-strain curve, known as the proportional region.
- In this region, stress (force per unit area) and strain (deformation) maintain a constant ratio, represented by the material's modulus of elasticity.
Elastic vs. Plastic Region
- Beyond the proportional region, materials may undergo permanent deformation, entering the plastic region where Hooke's Law no longer applies.
- The elastic region is where the material can return to its original shape after the removal of stress, but this does not extend indefinitely.
Implications of Elastic Limit
- Each material has a specific elastic limit, beyond which it no longer follows Hooke's Law.
- Once this limit is surpassed, the material may yield or deform plastically.
Conclusion
- Therefore, option 'A' is correct: Hooke's Law is valid only in the proportional region of the stress-strain curve.
- Understanding this principle is crucial for applications in engineering and material science, as it helps predict how materials will behave under various loads.
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The Hookes law is valid fora)only proportional region of the stress st...
Hooke's law states that within the elastic limit, stress developed is directly proportional to the strain produced in a body.
Hooke’s law is valid only in the linear part of the stress-strain curve. Hence, statement 1 is correct.
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The Hookes law is valid fora)only proportional region of the stress strain curveb)entire stress strain curvec)entire elastic region of the stress strain curved)elastic as well as plastic region of the stress strain curveCorrect answer is option 'A'. Can you explain this answer?
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