The walls will be constructed using a $4$ in brick veneer, $6$ in standard weight concrete block

$($which will form the wall load$-$bearing structure$),2$xx$4$ in $($nominal$)$ softwood lumber studs framed

$16$ in OC $($to frame wall interiors$),3\mathrm{.}5$ in fibreglass batt insulation $($in between the lumber studs$).$ a

plastic vapour retarder and $3//8$ in panelling. Ignore the effect of the interior walls in your heat load

calculation.

On the south$-$facing wall, four large garage doors $(12$ ft wide by $10$ ft high$)$ will be installed.

The R$-$value of each door is indicated as $5\mathrm{.}5$hr$^($@$)$Fft$^(2)//$BTU$.$ The same wall will also contain a set

of four $3$ ft wide by $6$ ft high windows.

The east$-$facing wall contain an aluminum frame swing door with double insulating glass $(6$ ft

by $7$ ft $).$ A further set of five $3$ ft wide by $6$ ft high windows will also be installed. All windows are

double insulating low$-$e glass. No awning will be installed above any window set. The north$-$facing

wall has a single $3^(\text{'})$xx$7^(\text{'})$ steel swing door with XPS foam core. The west$-$facing wall will contain no

windows or doors.

The building will be constructed on a foundation slab that will be $1\mathrm{.}5$ ft deep. Its roof is made

of two layers of $$//8$ in plywood, a single$-$ply membrane and a built$-$up roof $(3//8$in$)$ with aggregate

topping. A sub$-$ceiling will be constructed of support beams $($with negligible R$-$value$)$ supporting

$8//8$ in plywood and a $1//2$ in gypsum wallboard. The attic space will contain cellulose blown attic

insulation applied to a depth of $10$ in $,$ and a $31//2$ open area.

As the building has large doors, it is considered a medium construction with an ACH of $0\mathrm{.}9.$

Ignore the heating effect of machinery and occupants inside the building. Assume a SEER of $13.$

Current plans call for a waiting area for customers, so both heating in the Winter and cooling in the Summer will be required. $($a$)$ For winter conditions, calculate

i$.$ Calculate the $\backslash ($ R $\backslash )-$value of the north$-$facing wall.

ii$.$ Calculate the $\backslash ($ R $\backslash )-$value of the east$-$facing wall.

iii. Calculate the $\backslash ($ R $\backslash )-$value of the south$-$facing wall.

iv$.$ Calculate the $\backslash ($ R $\backslash )-$value of the west$-$facing wall.

v$.$ Calculate the $\backslash ($ R $\backslash )-$value of the floor.

vi$.$ Calculate the $\backslash ($ R $\backslash )-$value of the roof.

$($b$)$ For summer conditions, calculate $($if different from Winter conditions$)$

i$.$ Calculate the $\backslash ($ R $\backslash )-$value of the north$-$facing wall.

ii$.$ Calculate the $\backslash ($ R $\backslash )-$value of the east$-$facing wall.

iii. Calculate the $\backslash ($ R $\backslash )-$value of the south$-$facing wall.

iv$.$ Calculate the $\backslash ($ R $\backslash )-$value of the west$-$facing wall.

v$.$ Calculate the $\backslash ($ R $\backslash )-$value of the floor:

vi$.$ Calculate the $\backslash ($ R $\backslash )-$value of the roof.

$($c$)$ Calculate the heating load for the building in the city of Saint John.

$($d$)$ Estimate the cost of heating using a $\backslash (\backslash$$ $0\mathrm{.}125/\backslash$mathrm$\{$kWh$\}\backslash ).$

$($e$)$ Calculate the cooling load for the building in the city of Saint John.

$($f$)$ Estimate the cost of cooling using a $\backslash (\backslash$$ $0\mathrm{.}125/\backslash$mathrm$\{$kWh$\}\backslash ).$ Assume $100$ cooling load hours.