Question

Please neatly set your calculations/tables and show all necessary steps. Thanks in advance. Use the Hardy-Cross Method to analyse the system. Determine the flows in all pipes and residual heads at the various nodes for the node draw-offs given in Figure 1. Use the Hazen- Williams friction formula and assume a friction factor C of 110 for all pipes. The minimum pipe size is 100 mm with increments of 25 mm. (All calculations must be neatly set out Reservoir (TWL=1 490 m) 17 V 150 mm Dia. 200 mm Dia L-250 m 2 L= 300 m 45 Vs 150 mm Dia. L= 156 m 28 l/s 125 mm Dia L-300 m 125 mm Dia L-300 m 125 mm Dia. L-200 m 100 mm Dia. L=120 m 100 mm Dia. L=130 m 30 l/s TABLE 1: GROUND ELEVATION NODE 1 (Reservoir) GROUND ELEVATION (m) 1 480 2 1 455 3 1 450 4 1 450 5 1 460 6 1450 7 1 450

Please assist with pipe analysis. Please clearly show your formulas. Thank you in advance

Answer 1

13 ryn D.-0-45 1:250m 1786 7-0.019 vnts 0.045 tous Jos 0033 0.025 @ 10.027 0053 boss A0.125m 300m D20.125 L: 200m De c250 एक SK Da 0.1 T: 120m Loos 0.lin 1: : 13om set Step 1 - Guess values of a in each piße of loop following the Continuity quation. pipe 23 How rate. (Assumeimss) 0.05 27 Do 9-15 26 34. 0.05 0.033 0.033 0.053 57 56 1-2 Using Hazen-williams formale HIE TORS GROOS Hy hand loss due to friction. length of piße

ca Vi velocity (mis) llo for all bijes. Re hydraulic radeus PW sh opp 278 Va velocity - sy TDY. sy 0.63 0.030 70.54 TD480.858/10 11° #p-47 After and Iteration; optimum values of Q is obtained 24.63 and heuse find a in each bike.

1 3 8 9 0.012489257 Home Insert Page Layout Formulas Data Review View Add in Acrobat Universal Document Converter Cut Calibri - 11 A Wrap Text General Autosum Copy Fi Paste BIU EBE *Merge a Center Format Painter $ %. Conditional Format Cell Insert Delete Format Sort & Find & Formatting as Table Styles 2 Clear Filter Select Clipboard Font Alignment Number Styles Cees Editing A16 * Iteration 11 B с D E F G H 1 K L M N friction factor 110 2 frictional head loss 03"Q/ID/4.63)^1.85 Iteration 1 (Assumed) 5 Loop Pipe D (m) L (m) A (m^2) a ( m3/s) bosolute value of V (m/s) hf hf/a Zhf Iſhf/a) AQ new a 6 1 27 0.15 156 0.017663 -0.025 0.025 1.415428 2945.63 117825 6.58934E-OS 7 75 0.125 200 0.012266 -0.053 0.053 4.321019 72282.3 -1363817 -0.027934107 56 0.1 120 0.00785 -0.05 0.05 6.369427 263299.5 -5265990 -0.024934107 62 0.125 300 0.012266 -0.05 0.05 4.076433 97343.59 -1946872 435871.05 -8694504.5 0.025066 -0.024934107 10 2 23 0.05 250 0.001963 0.05 0.05 25.47771 2.08E+08 4.16E+09 0.025010836 34 0.125 300 0.012266 0.033 0.033 2.690446 45129.82 1367570 0.008010836 12 45 0.1 130 0.00785 0.033 0.033 4.203822 132241.7 4007325 0.008010836 13 57 0.125 200 0.012266 0.053 0.053 4.321019 72282.3 1363817 0.028010836 14 72 0.15 156 0.017663 0.025 0.025 1.415428 2945.63 117825.2 208069693 4163198400 -0.02499 1.08363E-05 16 Iteration II 17 After iteration 18 19 Loop Pipe D (m) L(m) A (m2) Q (m^3/s) bosolute value of V (m/s) hf hf/Q Zhf 2[hf/a) AQ new Q RO 1 27 0.15 156 0.017663 6.58934E-05 6.58934E-05 0.003731 0.049871 756.8411 0.012783074 21 75 0.125 200 0.012266 -0.027934107 0.027934107 2.27743 22104 -791291 -0.015216926 22 56 0.1 120 0.00785 -0.024934107 0.024934107 3.176319 72681.54 -2914945 -0.012216926 23 62 0.125 300 0.012266 -0.024934107 0.024934107 2.032844 26870.85 -1077674 121656.44 -4783153.2 0.012717 -0.012216926 24 2 23 0.05 250 0.001963 0.025010836 0.025010836 12.74438 57693110 2.31E+09 0.012510843 25 34 0.125 300 0.012266 0.008010836 0.008010836 0.653113 3288.644 410524.5 -0.004489157 26 45 0.1 130 0.00785 0.008010836 0.008010836 1.020489 9636.553 1202940 -0.004489157 27 57 0.125 200 0.012266 0.028010836 0.028010836 2.283686 22216.46 793138 0.015510843 28 72 0.15 156 0.017663 1.08363E-OS 1.08363E-05 0.000614 0.001768 163.1693 57728252 2309131325 -0.0125 -0.012489157 29 Book1 - Microsoft Excel File Home Insert Page Layout Formulas Data Review View Add-Ins Acrobat Universal Document Converter * Cut Calibri . 11AA === • Wrap Text General Autosum Copy F. Paste Merge a Center S.% * Conditional Format Cell Insert Delete Format Format Painter Sort & Find & . Formatting as Table Styles 2 Clear Filter Select Clipboard Font Alignment Number Styles Cells Editing A41 . А B с D E G H K L M N O 29 Iteration III 30 After iteration 11 31 Loop Pipe D (m) L (m) A (m^2) Q (m^3/s) bosolute value of V (m/s) hf hf/a ΣΗ 2{hf/Q) ΔΟ new Q 32 1 27 0.15 156 0.017663 0.012783074 0.012783074 0.723741 851.6567 66623.78 0.019488206 33 75 0.125 200 0.012266 -0.015216926 0.015216926 1.240616 7184.994 -472171 *a10 -0.008511794 34 0.1 120 0.00785 -0.012216926 0.012216926 1.556296 19419.37 -1589546 -0.005511794 35 62 0.125 300 0.012266 -0.012216926 0.012216926 AS1029 0.99603 7179.471 -587666 34635.494 -2582759.8 0.006705 -0.005511794 36 2 23 0.05 250 0.001963 0.012510843 wa 0.012510843 6.374952 16016474 1.28E+09 0.00624767 37 34 0.125 300 0.012266 -0.004489157 0.004489157 0.365995 1126.465 -250930 -0.01075233 38 45 0.1 130 0.00785 -0.004489157 0.004489157 0.571867 3300.825 -735288 -0.01075233 39 57 0.125 200 0.012266 0.015510843 0.015510843 1.264578 7443.841 479912.1 0.00924767 10 72 0.15 156 0.017663 -0.012489157 0.7071 815.7846 -65319.4 16029161 1279635815 -0.00626 -0.01875233 11 Pipe new Q 12 0049900172 27 0.012783074 13 75 -0.015216926 1015216926 14 56 009715225 -0.012216926 15 62 009716025 -0.012216926 165 16 23 0012510823 0.012510843 17 34 -0.004489157 18 45 -0.004489157 19 19 57 0.015510843 50 50 72 -0.012489157 Activate Windows 51 Go to PC settings to activate Windows EN Sheet1 Sheet2 Sheet3 Ready Count: 2 00 110% ) 56

So the final answer is

Pipe 27 75 56 62 new Q 0.012783074 -0.015216926 -0.012216926 -0.012216926 0.012510843 -0.004489157 -0.004489157 0.015510843 -0.012489157 23 34 45 57 72

Thank you.