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Question
A body is loaded elastically so that strain in y-directin (ey) = 0 and σz = 0. Take σx and σy as finite. What is the value of strain in z-direction (ez) in terms of stress in x-direction (σx) , young's modulus (E) and Poisson's ratio (υ)?
A.
σz = σXυ(1+2υ)/E
B.
σz = σXυ(1-4υ)/E
C.
σz = σX(1+υ)/E
D.
σz = – σXυ(1+υ)/E
Answer ( Option D)

σz = – σXυ(1+υ)/E

Solution

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