Check My Work (1 remaining) Boron coated with SiC (or Borsic) reinforced aluminum containing aligned 20 vol% fibers is an important high-tem

Question

Check My Work (1 remaining) Boron coated with SiC (or Borsic) reinforced aluminum containing aligned 20 vol% fibers is an important high-temperature, lightweight composite material. Estimate the modulus of elasticity perpendicular to the fibers. The modulus of elasticity of the fibers is 55 X 106 psi and the modulus of elasticity of aluminum is 10 X 106 psi.

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Eirian 6 months 2021-08-02T15:30:04+00:00 1 Answers 5 views 0

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    2021-08-02T15:31:54+00:00

    Answer:

    E = 12 * 10^{6} Psi

    Explanation:

    Modulus of Elasticity perpendicular to the fibre,

    \frac{1}{E} = \frac{B_{B} }{E_{B} } + \frac{B_{Al} }{E_{Al} }

    B_{B} = 20% = 0.2\\

    B_{Al} = 80% = 0.8

    E_{B} =55 * 10^{6} Psi

    E_{Al} =10 * 10^{6} Psi

    \frac{1}{E} = \frac{0.2 }{55 * 10^{6}  } + \frac{0.8 }{10 *10^{6} }

    \frac{1}{E} = 8.36 * 10^{-8} \\E = \frac{1}{8.36 * 10^{-8} }\\E = 12 * 10^{6} Psi

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