Design a Concrete Mixture given design specifications for SSD moisture condition of

aggregates:

Application: Concrete Pavement

Exposure: Severe, Deicers, Freeze$-$Thaw

Compressive Strength: $4000$ psi @ $28$ Days $(20$ Tests on Similar Mixture, $SD=350$ psi$)$

Slump: $3-4$ inches

Coarse Aggregate Properties: Specific Gravity: $2\mathrm{.}70($SSD$)$; MSA: $0\mathrm{.}50$ inch; Bulk

Density $($unit weight$)$: $100lb\frac{.}{f}{t}^3$

Fine Aggregate Properties: Specific Gravity: $2\mathrm{.}60($SSD$)$; Fineness Modulus: $2\mathrm{.}60$; Bulk

Density $($unit weight$)$: $96\mathrm{.}29lb.\frac{?}{f{t}^3}$

The design engineer specifies a concrete strength of $5500.$ Determine the required average

compressive strength for:

a$)$ a new plant where the standard deviation is unknown

b$)$ a plant where $s=500$ for $22$ test results.

You are working on a concrete mix design that requires each cubic yard of concrete to have a

$0\mathrm{.}45$ water$-$to$-$cement ratio, $1963l\frac{b}{y}{d}^3$ of dry gravel, $4\%$ air content, and $565l\frac{b}{y}{d}^3$ of cement.

The available gravel has a specific gravity of $2\mathrm{.}7,$ a moisture content of $1\mathrm{.}6\%,$ and absorption of

$2\mathrm{.}4\%.$ The available sand has a specific gravity of $2\mathrm{.}5,$ a moisture content of $4\mathrm{.}8\%,$ and absorption

of $1\mathrm{.}5\%.$ For each cubic yard of concrete needed on the job, calculate the weights of cement, moist

gravel, moist sand, and water that should be added to the batch. Summarize and total the mix

design when finished.