PART$-$ II: CONCRETE MIX DESIGN QUESTION $(75$ pts$)$

$(50$ pts$)$ You are asked to design a $C35$ class concrete with the below given requirements:

Portland cement class $42\mathrm{.}5($Uncrushed$-28$ day$),{}_{\text{c}\text{e}\text{m}\text{e}\text{n}\text{t}}=3\mathrm{.}15k\frac{g}{m^3}$

Durability Condition: Carbonation Corrosion$-$Risk $4$

Three types of aggregates used, PC $,$ PF and PP and sieve analysis results given below.

${}_{\text{a}\text{g}\text{g}\text{r}\text{e}\text{g}\text{a}\text{t}\text{e}\text{s}}=2\mathrm{.}5k\frac{g}{m^3}($for all types of aggregates PC$,$ PF$,$ PP$)$

Fineness modulus of the mixture is $m_{\text{m}\text{i}\text{x}}=3\mathrm{.}2$

$PP=10\%$ in total aggregate volume

$\backslash$table$[[\backslash$table$[[$Sieve size$],[(mm)$