Question
Download Solution PDFOn the stress-strain diagram, the material obeys Hooke's law till:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Hooke’s law holds up to the proportional limit.
Hooke’s law in terms of stress and strain is \(Stress\; \propto Strain \to \;\sigma \propto \varepsilon \; \to \;\sigma = E\varepsilon \)
The constant of proportionality is called the elastic modulus or Young’s modulus, E. It has the same units as stress. E is a property of the material used.
- So it is evident from the graph that the strain is proportional to stress or elongation is proportional to the load giving a straight line relationship. This law of proportionality is valid up to a point A. Point A is known as the limit of proportionality or the proportionality limit.
- For a short period beyond point A, the material may still be elastic in the sense that the deformations are completely recovered when the load is removed. The limiting point B is termed as Elastic Limit.
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