$5.$ Determine the batch quantities for a concrete mix design $($Non$-$air entraining$)$ that is to have a $28-$day compressive strength of $2500$ psi, using angular coarse aggregates from a No$.4$ sieve opening to $1$ in $.$ size, and a medium fine aggregate with a fineness modulus of $2\mathrm{.}65.$ A slump of $6$ in $.$ is desirable.

Assume the specific gravity of cement is $3\mathrm{.}14$ and one sack weights $94$ lbs $.$ Also assume that the unit weight of water $\backslash (=62\mathrm{.}4\backslash$mathrm$\{$lb$\}/\backslash$mathrm$\{$ft$\}^\{3\}\backslash ).$ Use the design Tables $5\mathrm{.}4$ and $5\mathrm{.}5$ as shown in the textbook. The following descriptions apply to the coarse and fine aggregates:

Coarse Aggregates:

Sieve No$.4$ to $1$ in$.,$ Angular

Absorption $(\backslash \%)=0\mathrm{.}1$

Specific Gravity $($bulk dry$)\backslash (=2\mathrm{.}7\backslash )$

Specific Gravity $($bulk saturated surface dry$)\backslash (=2\mathrm{.}74\backslash )$

Dry$-$rodded unit weight $\backslash (\backslash$left$(\backslash$mathrm$\{$lb$\}/\backslash$mathrm$\{$ft$\}^\{3\}\backslash$right$)=101\mathrm{.}5\backslash )$

Fine Aggregate:

Fineness modulus $\backslash (=2\mathrm{.}65\backslash )$

Absorption $(\backslash \%)\backslash (=0\mathrm{.}8\backslash )$

Specific Gravity $($bulk dry$)\backslash (=2\mathrm{.}4\backslash )$

Specific Gravity $($saturated surface dry$)\backslash (=2\mathrm{.}45\backslash )$