Q$4$: Design a pipe aqueduct on a lined canal to cross an open drain $5\mathrm{.}0m$ deep, $3\mathrm{.}0m$ bed width $1$:$3$ side slope. The discharge of aqueduct is $1000$ litter$/$sec$,$ the overall head loss does not exceed $0\mathrm{.}158m,$ steel stress is $93000K\frac{N}{m^2},K_1=0\mathrm{.}5,K_2=1\mathrm{.}0,n_{\text{s}\text{t}\text{e}\text{e}\text{l}}=0\mathrm{.}01$ and thickness of available pipes is $9\mathrm{.}5mm.$