Example $3\mathrm{.}19.$ A single ply Kevlar $49/$epoxy composite has the following properties.

E $179$ GPa; E $24$:$1$ GPa; G $121$:$5$ GPa; v $120$:$43$ bs $1$T $1$:$5$ GPa; bs $2$T $0$:$027$ GPa; bs $120$:$047$ GPa bs $1$C $0$:$24$ GPa; bs $2$C $0$:$09$ GPa:

If the fibres are aligned at $15$ to the x$-$direction, calculate what tensile value of s x will cause failure according to $($i$)$ the Maximum Stress Criterion $($ii$)$ the Maximum Strain Criterion and $($iii$)$ the Tsai$-$Hill Criterion. The thickness of the composite is $1$ mm$.$