Question

For an orthotropic material, if E and v represent Young’s modulus and the poisons ratio, respectively, then what is the value of v12 if E1=200 Gpa, E2=160 Gpa and v21=0.25?

(a) 0.3125

(b) 0.05

(c) 0.2125

(d) 0.3

The question was posed to me in an online quiz.

My question is based upon Plane Elasticity in section Plane Elasticity of Finite Element Method

Answer 1

Correct choice is (a) 0.3125

The explanation is: For an orthotropic material, E1 and E2 are the principal (Young’s) moduli in the x and y directions, respectively. The poisons ratio and Young’s moduli are related by the equation

v12=v21\(\frac{E_1}{E_2}\).

v12=0.25*\(\frac{200}{160}\)

=0.25*1.25

=0.3125.