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

a) 0.26

b) 1077 MPa

Step-by-step explanation:

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

`(F_f)/(F_m) =(E_fV_f)/(E_m(1-V_f))`

`(0.97)/(1-0.97) =(260V_f)/(2.8(1-V_f))`

`32.3 = (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