Question

Compute the longitudinal modulus of elasticity (in GPa) for a continuous and aligned hybrid composite consisting of aramid and glass fibers in volume fractions of 0.22 and 0.30, respectively, within a polyester resin matrix, given the following data:

Modulus of Elasticity

(GPa)

Glass fibers

72.5

Aramid fibers

131

Polyester

2.5

=_______GPa?

Answer 1

51.77 GPa

Step-by-step explanation:

For elasticity for a continous and aligned hybrid composite

`E_(ci)=E_(poly)  (1-V_(A) -V_(G) )+E(V_(A))+E(V_(G) )\\=(2.5GPa)(1-0.22-0.3)+(131GPa)(0.22)+(72.5GPa)(0.3)\\=1.2+28.82+21.75\\=51.77GPa`