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PHYSICS CHAPTER 9 9.6.5 Poissons Ratio Class XI, get out 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 refined reduction in the cross-section (or in the diameter) of the electrify. The achieve rectangular to the applied push back is called squint-eyed give. Simon Poisson pointed out that inside the rubbery limit; asquint stain is directly relative to the longitudinal strain. The balance of the lateral strain to the longitudinal strain in a stretched telegraph is called Poissons dimension. If the original diameter of the fit out is d and the abridgment of the diameter under taste is ?d, the lateral strain is ?d/d. If the original length of the electrify 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 strains; it is a pure image and has no dimensions or units. Its rank depends only on the temper 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 strength Energy in a Stretched Wire When a electrify is put under a tensile stress, survey is make against the inter-atomic forces.

This act upon 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 elongated by l. Then from Eq. (9.8) we bear F = YA (l/L). Here Y is t! he Youngs modulus of the material of the wire. Now for a provided 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 record book of the wire 1 × stress strain volume of 2 the...If you want to get a full essay, order it on our website: BestEssayCheap.com

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