Dear student,Poisson's ratio(ν) is defined as negative of the ratio of transverse strain to axial strain Mathematically,ν=-∈transverse∈axialalso, poisson's ratio is related with elastic moduli as,ν=E2G-1E=Young's modulusG=Shear modulousRegards

derive poisons ratio

D e a r s t u d e n t, P o i s s o n' s r a t i o (ν) i s d e f i n e d a s n e g a t i v e o f t h e r a t i o o f t r a n s v e r s e s t r a i n t o a x i a l s t r a i n . M a t h e m a t i c a l l y, ν = - \frac{\in_{t r a n s v e r s e}}{\in_{a x i a l}} a l s o, p o i s s o n' s r a t i o i s r e l a t e d w i t h e l a s t i c m o d u l i a s, ν = \frac{E}{2 G} - 1 E = Y o u n g' s m o d u l u s G = S h e a r m o d u l o u s R e g a r d s

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