Question

In an aligned and continuous carbon fiber-reinforced nylon 6,6 composite, the fibers are to carry 97% of a load applied in the longitudinal direction. (a) Using the data provided, determine the volume fraction of fibers required.

Answer 1

Answer:

a) 0.26

b) 1077 MPa

Explanation:

a) The following equation can be used to determine the volume fraction:

$\frac{F_f}{F_m} =\frac{E_fV_f}{E_m(1-V_f)}$

$\frac{0.97}{1-0.97} =\frac{260V_f}{2.8(1-V_f)}$

$32.3 = \frac{260V_f}{2.8-2.8V_f}$

$V_f = 0.26$

b) Tensile strength can be found by using the following equation:

$\sigma_{cl} = \sigma_m(1-V_f)+\sigma_fV_f = 50*(1-0.26)+4000*0.26 = 1077$ MPa