PROBLEM #$1(40$ Points$)$:

Concrete is required for an exterior retaining wall in Portsmouth, NH$.$ A specified

compressive strength of $4,000$ is required at $28$ days $($Select an appropriate type of

cement. Use a specific gravity of $3\mathrm{.}15$ for whichever type of cement you choose$).$

Coarse Aggregates: $1$ inch Nominal Maximum Size; Bulk Specific Gravity $($oven$-$dry$)=$

$2\mathrm{.}67$; Dry$-$Rodded Unit Weight $=102\mathrm{.}4l\frac{b}{f}{t}^3$; Total Moisture $=4\mathrm{.}2\%$; Absorption $=1\mathrm{.}0\%.$

Fine Aggregates: Sand $-$ Bulk Specific Gravity $($oven$-$dry$)=2\mathrm{.}64$; Fineness Modulus

$(F.M)=\mathrm{.}2\mathrm{.}55$;TotalMoisture$=4\mathrm{.}8\%$; Absorption $=1\mathrm{.}0\%.$

Determine the materials required for one cubic yard of concrete using the absolute

volume method. Also, determine the amount of materials required for a trial batch.