Question $2(20$ points$)$: Estimate the construction costs for the small project below.

a$)$ Calculate how many cubic yards of concrete are needed to construct the foundation footing shown below. For simplicity, assume the footing does not have a keyway. Assume the space occupied by rebar is negligible. pts$)($NOTE: $1$ cubic yard $=27$

cubic feet$).$

Plan View

Sectron $A=A$

b$)$ There are three rows of #$6$ rebar in the footing, centered and evenly spaced $($see Section A$-$A$).$ Assume your pieces of rebar are long enough to span the entire length of the footing. The rebar must be joined at every comer using pre$-$formed rebar comer pieces. The length of overlap $($lap splice length$)$ between pieces of rebar should be $75$ times the bar's nominal diameter $($i$.$e$.,$ overlap length or the sum of two sides of the corner rebar $=$ bar diameter x $75).$ Determine how many tons of rebar are needed for the footing. $($Hint: $1$ Ton $=2000Lb$

R$032110-10$ Reinforcing Steel Weights and Measures

$\backslash$table$[[\backslash$table$[[$Bar Designation$],[$No$."*]],\backslash$table$[[$Nominal Weight$],[$Lb$./$Ft$.]],$U$.$S$.$ Customary Units$],[$Nominal Dimensions"$],[\backslash$table$[[$Diameter$],[$in$.]],\backslash$table$[[$Cross Sectional$],[$Area$,$ in$.]],\backslash$table$[[$Perimeter$],[$in$.]]],[\backslash$table$[[3],[4],[5],[6]],\backslash$table$[[\mathrm{.}376],[\mathrm{.}668],[1\mathrm{.}043],[1\mathrm{.}502]],\backslash$table$[[375],[500],[625],[750]],\backslash$table$[[11],[20],[31],[44]],\backslash$table$[[1\mathrm{.}178],[1\mathrm{.}571],[1\mathrm{.}963],[2\mathrm{.}356]]]]$

c$)$ A trench must be excavated in order to construct the footing. Assume the ground is originally at grade level before excavation begins. The bottom of the footing must be $5$ feet below grade. You must leave $1$ foot of space on each side of the footing for workers to stand while working. The trench walls must be sloped at a $45$ degree angle. How many bank cubic yards $($BCY$)$ must be excavated for the footing trench? $(4$ pts$)($NOTE: draw a sketch of the footing trench and label the dimensions$)$

d$)$ Formwork must be constructed for the footing. Your company owns reusable metal stakes and braces, so you do not need to include them in your estimate. The ONLY material you need to consider in your estimate is the side board lumber $($no ties$).$ The side boards should have a nominal thickness of $2".$ They will only be used one time $($one use$).$ The cost of lumber is $$\frac{0\mathrm{.}40}{?}$ FBM$.$ Calculate $(1)$ the square foot of contact area $($SFCA$)$ of formwork needed, and $(2)$ the material unit cost $($$$/$SFCA$)$ for the side boards. $(4$ pts$)$

e$)$ Fill in the cost summary table below for this project. $(4$ pts$)$

$\backslash$table$[[,$Quantity,Units,$\backslash$table$[[$Material$],[$Unit$],[$Cost$],[($$$/$unit$)]],\backslash$table$[[$Material$],[$Cost$],[($$$)]],\backslash$table$[[$Labor$],[$Unit$],[$Cost$],[($$$/$unit$)]],\backslash$table$[[$Labor$],[$Cost$],[($$$)$