Question

Which of the following equations give the relation between material properties like modulus of elasticity (E), modulus of rigidity (G), and Poisson’s ratio (u)?

(a) E = 2*G*(1+u)

(b) E = 3*G*(1+u)

(c) E = 2*G*(1-u)

(d) E = 3*G*(1-u)

This question was posed to me in quiz.

I'd like to ask this question from Beams and Frames in division Beams and Frames of Finite Element Method

Answer 1

Right choice is (a) E = 2*G*(1+u)

Explanation: The relation between the material properties is given by

E = 2*G*(1+u)

Here E is the ratio of normal stress to normal strain. G is the ratio of shear stress to shear strain and u is the ratio of lateral strain to longitudinal strain.