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Irina-Kira [14]
4 years ago
15

In an aligned and continuous carbon fiber-reinforced nylon 6,6 composite, the fibers are to carry 97% of a load applied in the l

ongitudinal direction. (a) Using the data provided, determine the volume fraction of fibers required.
Engineering
1 answer:
Juli2301 [7.4K]4 years ago
5 0

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

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solution

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