CHAPTER 3
Stress—Strain Relationship
3.1 Hooke's Law
It is perhaps not realized in real perspective that most developments in design of machines and structures are solely dependent upon the statement of Hooke's law. The stresses and strains as defined in chapters 1 and 2 in their very simple or complex forms can be of little importance if they are not correlated. Through verification by several experiments it was Robert Hooke who stated the relationship of great importance. His statement “ut tensio sic vis” could be translated as “as is the tension so is the extension”. A better way of making the statement will be that “extension is proportional to force”.
The above statement may refer to any prismatic bar as shown in Fig. 3.1. The bar having ...
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