Question #$1(10$ pts$.)$:

The $3"$ slab for a covered pavilion outside of a building in central Long Island is to be made of concrete with the following specifications:

Design compressive strength: $3300$ psi, based on $25$ tests of samples having a standard deviation of $300$

Non$-$air entrained, and unreinforced

Fine aggregate: $G=2\mathrm{.}45,FM=3\mathrm{.}0$

Coarse aggregate: $G=2\mathrm{.}56$

Determine the following:

i$.$ W$/$c ratio, largest nominal max. coarse aggregate size, $\%$ coarse aggregate, $\%$ air $(2$ pts$.)$

ii$.$ weight of water, weight of cement, and weight of coarse aggregate to be used per cubic yard of concrete $(1pt.$

iii. weights and volumes of water, cement, air, coarse aggregate, and fine aggregate needed to mix a $15-$yard batch of this mix $(3$ pts$.)$

Also:

Specify two admixtures that might be used for this mix based on the provided information, and why to use it$.(2$ pts$.)$

If we wanted to use this concrete in columns to support the canopy for this pavilion, why we might create a composite of this concrete poured into a PVC $($polyvinyl chloride$)$ sleeve for these columns? $($Give specific reasons based on the characteristics of the individual materials.$)(2$ pts$.)$