Im trying to solve Fraction of fibers in a composite if elas

I’m trying to solve Fraction of fibers in a composite, if elastic deformation has 39% load. And if it is has polyester reinforced and E-glass fiber. How can I calculate the fraction of fibers if

E polyester = 9 Gpa

E Glass = 69 Gpa

Please watch units

Solution

Solution:-

E_p = 9 Gpa

E_g = 69 Gpa

A_p = 39% of load = 0.39 of load

A_g = 61% of load = 0.61 of load

E_equivalent = (A_pE_p + A_gE_g)/( A_p + A_g)

E_equivalent = ( 0.39 * 9 + 0.61 *69)/ ( 0.39 + 0.61)

E_equivalent = 45.6 Gpa