QUESTION $2$

A continuous and aligned fibre$-$reinforced composite having a cross$-$sectional area of $1240m{m}^2$ is subjected to an external tensile load. The stresses sustained by the fibre and the matrix phases are $125$ MPa and $3\mathrm{.}5$ MPa $,$ respectively; the force sustained by the matrix phase is $2\mathrm{.}5$ kN ; and a total longitudinal strain is $1\mathrm{.}4{10}^{-3}.$

Determine:

$2\mathrm{.}1$ the matrix volume fraction,

$2\mathrm{.}2$ the force sustained by the fibre,

$2\mathrm{.}3$ the modulus of elasticity of the composite material in the longitudinal direction, and

$2\mathrm{.}4$ the moduli of elasticity for the fibre and matrix phases.

$[22]$