Mechanics of Solids and Fluids


   
 
Hooke's law
Experimental study by Hooke revealed that elastic bodies regain their original configuration completely, only upto a limit. He termed this limit as the elastic limit. He found that within the elastic limit, the extension produced in the wire was directly proportional to the load applied.
 
i.e. Stress a strain
 
Stress = E strain
 
where E is constant and is called modulus of elasticity of the material of the body.
 
Experimental verification of Hooke's law
 
 
The apparatus is set as shown above. The weights are loaded one by one and unloaded one by one to bring the spring to its elastic mode. Weights are then added in the pan and reading of pointer on the scale is noted. Some more weights are added and the readings are noted once again. The difference between the two gives the extension in the spring due to the weights added in the pan. The procedure is repeated for other weights. On plotting a graph between the load and extension, one gets a straight line as shown below. Thus, the graph verifies the Hooke's law.
 
 
 
     
   
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