# By what name is the analysis procedure based on Hooke's law known?

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1. Linear analysis
2. Differential analysis
3. Graphical analysis
4. diagrammatic analysis

Option 1 : Linear analysis
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## Detailed Solution

Explanation:

Hooke’s Law states that the strain in a solid body is directly proportional to the applied stress and this condition is valid upto the limit of proportionality (i.e. point A in the figure).

$$Stress\; \propto Strain \to \;\sigma \propto \varepsilon \; \to \;\sigma = E\varepsilon$$

Limit of proportionality is the stress at which the stress-strain curve ceases to be a straight line. It is the stress at which extension ceases to be proportional to strain. The proportional limit is important because all subsequent theory involving the behavior of elastic bodies is based on the stress-strain proportionality.
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