The fibers in a E-glass/epoxy composite are 0.0005 in. \((0.0127 \mathrm{~mm})\) in diameter before coating with an epoxy sizing \(0.0001 \mathrm{in} .(0.00254 \mathrm{~mm})\) thick. After the sizing has been applied, the fibers are bonded together with more epoxy of the same type. What is the maximum fiber volume fraction that can be achieved? Using the fiber and matrix moduli given in Equation 3.33, determine the composite longitudinal modulus \(E_{1}\) and the composite transverse modulus \(E_{2}\) corresponding to the maximum fiber volume fraction.

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E = 5.0510 psi (34.82 GPa); m = 0.55 E2 1.53x10 psi (10.55 GPa); v = 0.45 En E2 10.5x10 psi (72.4 GPa) Em 0.55x10 psi (3.79 GPa) (3.33)