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A wire is strictly such that it's volume remains constant. The Poisson's ratio of the material of wire is
Asked by udayu6715 | 30 Jun, 2021, 01:21: PM
answered-by-expert Expert Answer
P o i s s o n apostrophe s space r a t i o space equals space fraction numerator begin display style bevelled fraction numerator negative increment R over denominator R end fraction end style over denominator begin display style bevelled fraction numerator increment calligraphic l over denominator calligraphic l end fraction end style end fraction space... space left parenthesis 1 right parenthesis W e space h a v e space t o space f i n d space t h e space P o i s s o n apostrophe s space r a t i o space o f space w i r e. space W i r e space i s space c y l i n d r i c a l space i n space s h a p e. space I f space o b j e c t space i s space c y l a i n d r i c a l V space equals space pi R squared calligraphic l fraction numerator increment V over denominator V end fraction equals fraction numerator 2 increment R over denominator R end fraction plus fraction numerator increment calligraphic l over denominator calligraphic l end fraction I t space i s space g i v e n space t h a t space v o l u m e space r e m i a n s space c o n s tan t space h e n c e space t h e r e space i s space n o space c h a n g e space i n space v o l u m e. space T h u s comma space 0 space equals space fraction numerator 2 increment R over denominator R end fraction plus fraction numerator increment calligraphic l over denominator calligraphic l end fraction minus fraction numerator 2 increment R over denominator R end fraction equals space fraction numerator increment calligraphic l over denominator calligraphic l end fraction space rightwards double arrow fraction numerator fraction numerator increment R over denominator R end fraction over denominator fraction numerator increment calligraphic l over denominator calligraphic l end fraction end fraction space equals space minus space 1 half space F r o m space e q u a t i o n space left parenthesis 1 right parenthesis comma space P o i s s o n apostrophe s space r a t i o space equals space minus space open parentheses negative 1 half close parentheses space equals space 0.5 space  
Answered by Shiwani Sawant | 30 Jun, 2021, 05:32: PM
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