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PHYSICS CHAPTER 9 9.6.5 Poissons Ratio Class XI, factor 2 A1 W = ?0 l YAl YA l 2 dl = × L L 2 2 conscientious observations with the Youngs modulus experiment (explained in section 9.6.2), destine that there is also a frail reduction in the cross-section (or in the diameter) of the electrify. The cover right to the applied push back is called squint-eyed job. Simon Poisson pointed out that inwardly the chewy limit; asquint stain is directly comparative to the longitudinal strain. The balance of the lateral strain to the longitudinal strain in a stretched telegraph is called Poissons balance. If the original diameter of the cable is d and the abridgment of the diameter under melody is ?d, the lateral strain is ?d/d. If the original length of the telegraph is L and the e l o n g a t i o n u n d e r s t r e s s i s ?L , t h e longitudinal strain is ?L/L. Poissons ratio is t he n (?d/d)/(?L/L) or (?d/?L) (L/d). Poissons ratio is a ratio of both st rains; it is a pure bite and has no dimensions or units. Its rank depends only on the genius of worldly. For steels the value is between 0.28 and 0.30, and for aluminum alloys it is about 0.33. 9.6.6 Elastic potential drop Energy in a Stretched Wire When a fit out is put under a tensile stress, hold out is do against the inter-atomic forces.

This civilize is stored in the wire in the form of elastic potential energy. When a wire of original length L and area of cross-section A is subjected to a deforming force F along the length of the wire, allow the length of the wire is elongate by l. Then from Eq. (9.8) we bear F = YA (l/L). Here Y is the Youngs modulus ! of the material of the wire. Now for a gain ground elongation of infinitesimal secondary length dl, then the work done dW is F dl or Y A l d l /L. Therefore the amount of work done (W ) in change magnitude the length of the wire from l to L + l, that is from l = 0 to l = l is 1 ?l ? W = × Y × ? ? × AL 2 ?L? = 1 × Youngs modulus strain2 2 people of the wire 1 × stress strain volume of 2 the...If you want to get a full essay, order it on our website: OrderCustomPaper.com

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