GATE-2018 (24) :Wyllie – Time average equation

 

Q) Assume that the poisons solid is subjected to a longitudinal stress while the transverse stress are zero. Then the young’s modules ( E ) in terms of modules of rigidity (µ)will be___

(Thanks to Chandrasekhar, ANU)

 Solutions:

 From the relation

$\mu =\frac{E}{2(1+\nu)}$

$\mu =\frac{E}{2(1+0.25)}$   for poissons solid v =0.25

$\mu =\frac{E}{2(1.25)}$

$\mu =\frac{E}{2.5}$

$E= 2.5\times\mu$

Reference : Fundamental of Geophysics, William Lowrie.