$(20$ marks$)$

$\backslash$table$[[$Trablo ARber fractions for bridged$],[$layers$,,,,,]]$

Figure Q$4.$

Figure Q$4$ depicts a plan view of a timber$-$frame wall construction as contained in Appendix A of the Irish Building Regulations Technical Guidance Document Part L $($TGD Part L$).$ An architect now proposes making several dimensional changes to the above construction by altering the dimensions of the:

Wooden studs in the timber$-$frame;

PIR insulation between the wooden studs;

Plasterboard

Referring to Table Q$4$ and the calculation procedure outlined in Appendix A of TGD Part L$,$ determine if the proposed timber$-$frame construction is in compliance with the U$-$Value specification of $0\mathrm{.}18\frac{W}{m^2}K$ contained in TGD Part L$.$

$\backslash$table$[[$Layer$,$Thickness $($m$),$Conductivity $($W$/$mK$),$Resistance $(m^2\frac{K}{W})],[$External Surface,$-,-,0\mathrm{.}040],[$Brick outer leaf,$0\mathrm{.}102,0\mathrm{.}770,0\mathrm{.}132],[$Air cavity,$0\mathrm{.}050,-,0\mathrm{.}180],[$OSB sheathing,$0\mathrm{.}009,0\mathrm{.}130,0\mathrm{.}069],[$Low$-$e air cavity,$0\mathrm{.}029,-,0\mathrm{.}440],[$PIR insulation $($between studs$),0\mathrm{.}055,0\mathrm{.}021,2\mathrm{.}619],[$Timber studs,$0\mathrm{.}090,0\mathrm{.}120,0\mathrm{.}750],[$PIR insulation $($over studs$),0\mathrm{.}050,0\mathrm{.}021,2\mathrm{.}381],[$Vapour control,$-,-,-],[$Service void,$0\mathrm{.}035,-,0\mathrm{.}180],[$Timber battens,$0\mathrm{.}035,0\mathrm{.}130,0\mathrm{.}269],[$Plaster board,$0\mathrm{.}020,2\mathrm{.}500,0\mathrm{.}008],[$Internal surface,$-,-,0\mathrm{.}130]]$

Table Q$4$