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aleksley [76]
4 years ago
8

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

ant 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.
Physics
1 answer:
Lubov Fominskaja [6]4 years ago
3 0

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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