Concrete Mix Design $($Absolute Method$)$

Problem: A concret$$ mix for a $3$ storey open sided parking garage in St$.$ John's, NL$.$

Given: $,f^{\text{'}}c=30$MPa

Slump $=50-75mm$

Nominal aggregate size $=19mm$

Materials: $,1.50$ tests on similar mix: $SD=4\mathrm{.}5$MPa

$2.$ Cement: Type I with $SG=3\mathrm{.}15$

$3.$ Coarse Aggregate

Crushed Quarry

$RD=2\mathrm{.}70$

Absorption $=1\mathrm{.}0\%$

Oven dry density $=1650k\frac{g}{m^3}$

Moisture $=1\mathrm{.}8\%$

Fine Aggregate

Crushed quarry sand

$FM=2\mathrm{.}85$

$RD=2\mathrm{.}65$

Absorption $=1\mathrm{.}2\%$

Moisture $=6\mathrm{.}7\%$

Air Entrainment $=0\mathrm{.}6\frac{g}{k}g$ cement for $7\%$ air

Required: Design a concrete mix using the absolute volumes method.