Answer: hello your question is in complete below is the complete question
A fiber reinforced composite contains e-glass fibers in an epoxy matrix. E for the glass is 72 GPA, E for the epoxy is 2.4 GPa. Find the elastic modulus of a composite that contains 5% fibers in the longitudinal direction, Ecl = ViEi + EmVm? (note Vi + Vm= 1.) O 5.88 GPa O 5.66 GPa O 2.52 GPa O 6.74 GPa
answer : 5.88 GPa
Step-by-step explanation:
Fiber reinforced composite containing e-glass fibers
E for the glass ( Ei ) = 72 GPa
E for the epoxy ( Em ) = 2.4 GPa
Determine the Elastic modulus of a composite containing 5% fibers
percentage of glass = 5% = Vi = 0.05
∴ percentage of epoxy = 95% ; Vm = 0.95
using the relation included in the question
Ecl = Ei Vi + Em Vm
= ( 72 * 0.05 ) + ( 2.4 * 0.95 )
= 3.6 + 2.28 = 5.88 GPa