Problem $3\mathrm{.}2$

Given Information:

Coarse Aggregates

$$ Crushed stone $($angular$)$

$$ NMAS $=2$ in$.$

$$ Bulk oven$-$dry specific gravity $=2\mathrm{.}573$

$$ Oven$-$dry rodded density $=120$ pcf

$$ Moisture content $=1\mathrm{.}0\%$

$$ Absorption $=2\mathrm{.}80\%$

Fine Aggregates

$$ Natural sand

$$ Bulk oven$-$dry specific gravity $=2\mathrm{.}540$

$$ Moisture content $=4\mathrm{.}5\%$

$$ Absorption $=3\mathrm{.}4\%$

$$ Fineness modulus $=2\mathrm{.}68$

Cement

$$ Specific gravity $=3\mathrm{.}15$

Strength Information

Specified strength of concrete $=3\mathrm{.}0$ ksi $($old data says the standard deviation of the compressive strength is $250$ psi when more than $30$ samples are tested$).$

Project Environment

Concrete is to be used in a pavement slab, $12$ in$.$ thick, in the City of Bozeman, Montana $($cold climate$).$

Air Entrainer

$0\mathrm{.}15$ fl$.$ oz$/1\%$ air$/100$ lb cement

Design the concrete mix using the absolute volume method.