You are designing a polymer$-$matrix composite $($PMC$)$ to withstand a tensile load of $6{10}^{4}N.$

The composite has dimensions of $20$ mm in length and $8$ mm in width with $40$ vol$\%$ fibres.

Consider two types of polymer matrices and two types of reinforcing fibres that can be used

in this case. Their properties are provided in the tables below.

Table $1.$ Mechanical properties of polymer matrices

Table $2.$ Mechanical properties of reinforcing fibres.

Determine the Longitudinal and Transverse Moduli

Calculate the longitudinal and transverse elastic moduli of the composites for each

matrix and reinforcing phase combination assuming Isostrain and Isostress conditions,

respectively.

Evaluate Length Variations:

Given a longitudinal tensile load of $6{10}^{4}N$ applied, determine if each composite can

withstand the load and calculate the resulting length changes, considering a maximum

allowable strain of $1\mathrm{.}0\%.$

Composite Selection:

Based on your calculations, select the most suitable composite for high tensile strength

application and justify your choice.