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PROBLEM. $3$

Consider the pipe$-$network given below.

For whole pipes William$-$Hazen frietion factor of $C=90.$ All pipes have $D=30$

Note that $h_f=\frac{L}{(0\mathrm{.}279C{)}^{2\mathrm{.}85}}\frac{1}{D^{4\mathrm{.}87}}{Q}^{1\mathrm{.}85}.,$

a$)$ Find the discharges in whole pipes of the network.

b$)$ If the energy $($piezometric level$)$ at the node point A is $100$ m what is the pressure at the point G whose distance to A and the geometrical elevation are $150$ m and $85$ m $,$ respectively. For water take $=9810\frac{N}{m^3}.$

ANSLVER $Q_{\text{A}\text{G}\text{B}}=23\mathrm{.}85c\frac{t}{s}$;$Q_{BE}=16\mathrm{.}6l\frac{t}{s}$;$Q_{DE}=18\mathrm{.}3yl\frac{t}{s}$;$Q_{CD}=26\mathrm{.}1c\frac{t}{s}$

$($b$)P_G=14\mathrm{.}6392\frac{N}{m^2}=146\mathrm{.}392k\frac{N}{m^2}{Q}_{AC}=23\mathrm{.}85c\frac{t}{s}$