9 Qd=
36.99
L = 294.85 M L = 386.62 MN M R
L = 471.89 M L = 418.53 M L = 367.78
610
L = 384.5 M L =430.93O P Q
Calculo de las pendientesDATOS GENERALES
S NM= 230.17 -230.44 -=0.00092 PUNTO COTA TRAMO LONGITUD294.85 N 230.17 N-M 294.85
M 230.44 M-R 386.62S MR= 230.44 -232.58 -=0.00554 R 232.58 R-Q 367.78
386.62 Q 232.00 Q-P 430.93P 231.12 P-O 384.50
S RQ= 232.58 -232.00 =0.00158 O 231.93 M-P 418.53367.78 N-O 471.89
S QP= 232.00 -231.12 =0.00204430.93 CUADRO DE RESUMEN
TRAMO S (m/m)S PO= 231.12 -231.93 -=0.00211 S NM= -0.000916 0.000915719858
384.5 S MR= -0.005535 0.005535150794S RQ= 0.001577 0.001577029746
S MP= 230.44 -231.12 -=0.00162 S QP= 0.002042 0.002042095004418.53 S PO= -0.002107 0.00210663199
S MP= -0.001625 0.001624734189S NO= 230.17 -231.93 -=0.00373 S NO= -0.003730 0.003729682765
471.89
Calculo de Los diámetros
Donde:D = Diámetro de la tubería (pulg)
Coeficiente de material 0.73Q= Caudal del tramo (l/s)S= Pendiente del tramo (m/m)
TRAMO Qmarcha PENDIENTE D (pulg) Diámetro ComercialN-M 4.99 l/s 0.73 0.000916 5.843 '' D AB= 6 pulgM-R 17.99 l/s 0.73 0.005535 6.519 '' D BC= 8 pulgR-Q 19.00 l/s 0.73 0.001577 8.664 '' D CD= 8 pulgQ-P 9.00 l/s 0.73 0.002042 6.178 '' D DE= 6 pulgP-O 7.00 l/s 0.73 0.002107 5.578 '' D EF= 6 pulgM-P 4.00 l/s 0.73 0.001625 4.763 '' D GF= 6 pulgN-O 2.00 l/s 0.73 0.003730 3.074 '' D AG= 4 pulg
6.99GND
5GHD
α = α =
α
I II
4.99
2
7 9
4
17.99
19
PRIMERA ITERACIÓN SEGUNDA ITERACIÓNCIRCUITO TRAMO C D L Q h h/Q q Q h h/Q q Q
I
MN 140 6 0.29 -4.99 4.99 -0.17 0.03 -1.32 -6.31 6.31 -0.27 0.04 -0.69 -7.00 7.00NO 140 4 0.4719 2 2 0.37 0.18 -1.32 0.68 0.68 0.05 0.07 -0.69 -0.01 0.01OP 140 6 0.3845 7 7 0.42 0.06 -1.32 5.68 5.68 0.29 0.05 -0.69 4.99 4.99MP 140 6 0.4185 4 4 0.16 0.04 0.44 4.44 4.44 0.20 0.04 -0.33 4.11 4.11
0.78 0.32 0.27 0.21
II
MP 140 6 0.4185 -4 4 -0.16 0.04 -0.44 -4.44 4.44 -0.20 0.04 0.33 -4.11 4.11PQ 140 6 0.4309 9 9 0.75 0.08 -1.76 7.24 7.24 0.50 0.07 -0.36 6.88 6.88QR 140 8 0.3678 19 19 0.63 0.03 -1.76 17.24 17.24 0.53 0.03 -0.36 16.88 16.88RM 140 8 0.3866 -17.99 17.99 -0.60 0.03 -1.76 -19.75 19.75 -0.71 0.04 -0.36 -20.11 20.11
0.62 0.19 0.12 0.18
FORMULAShazen y williamhf= 1,72*(10^6)L*(Q^1,85)
(C^1,85)*(D^4,87)
q = correción al caudal
q= - SUMATORIA hi1,85 *(SUMATORIA (hi/Qi)
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TERCERA ITERACION CUARTAh h/Q q Q h h/Q q Q
-0.32 0.05 -0.30 -7.30 7.30 -0.35 0.05 -0.01 -7.31 7.310.00 0.00 -0.30 -0.31 0.31 -0.01 0.04 -0.01 -0.32 0.320.23 0.05 -0.30 4.69 4.69 0.20 0.04 -0.01 4.68 4.680.17 0.04 -0.13 3.99 3.99 0.16 0.04 0.06 4.05 4.050.07 0.13 0.00 0.17
-0.17 0.04 0.13 -3.99 3.99 -0.16 0.04 -0.06 -4.05 4.050.46 0.07 -0.18 6.71 6.71 0.44 0.06 -0.07 6.63 6.630.51 0.03 -0.18 16.71 16.71 0.50 0.03 -0.07 16.63 16.63
-0.73 0.04 -0.18 -20.28 20.28 -0.75 0.04 -0.07 -20.36 20.360.06 0.17 0.02 0.17
tramo Q S D Dcomercial V(m/s)N-M 7.31 0.73 0.00091572 6.754 '' 6 0.40M-R 20.36 0.73 0.00553515 6.833 '' 8 0.63R-Q 16.63 0.73 0.00157703 8.236 '' 8 0.51Q-P 6.63 0.73 0.0020421 5.501 '' 6 0.36P-O 4.68 0.73 0.00210663 4.789 '' 6 0.26M-P 4.05 0.73 0.00162473 4.786 '' 6 0.22N-O 0.32 0.73 0.00372968 1.524 '' 2 0.16
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α
QUINTA SEXTA SETIMA OCTAVAh h/Q q Q h h/Q q Q h h/Q q Q h
-0.35 0.05 -0.02 -7.32 7.32 -0.35 0.05 0.00 -7.32 7.32 -0.35 0.05 0.00 -7.32 7.32 -0.35-0.01 0.04 -0.02 -0.33 0.33 -0.01 0.04 0.00 -0.33 0.33 -0.01 0.04 0.00 -0.33 0.33 -0.010.20 0.04 -0.02 4.67 4.67 0.20 0.04 0.00 4.67 4.67 0.20 0.04 0.00 4.67 4.67 0.200.17 0.04 -0.02 4.04 4.04 0.17 0.04 0.00 4.04 4.04 0.17 0.04 0.00 4.04 4.04 0.170.01 0.17 0.00 0.17 0.00 0.17 0.00
-0.17 0.04 0.02 -4.04 4.04 -0.17 0.04 0.00 -4.04 4.04 -0.17 0.04 0.00 -4.04 4.04 -0.170.43 0.06 0.00 6.63 6.63 0.43 0.06 0.00 6.63 6.63 0.43 0.06 0.00 6.63 6.63 0.430.49 0.03 0.00 16.63 16.63 0.49 0.03 0.00 16.63 16.63 0.49 0.03 0.00 16.63 16.63 0.49
-0.75 0.04 0.00 -20.36 20.36 -0.75 0.04 0.00 -20.36 20.36 -0.75 0.04 0.00 -20.36 20.36 -0.750.00 0.17 0.00 0.17 0.00 0.17 0.0001
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OCTAVA NOVENA DECIMA DECIMA PRIMERAh/Q q Q h h/Q q Q h h/Q q Q h h/Q
0.05 0.00 -7.325 7.32 -0.35 0.05 0.00 -7.325 7.32 -0.35 0.05 0.00 -7.325 7.32 -0.35 0.050.04 0.00 -0.335 0.33 -0.01 0.04 0.00 -0.335 0.33 -0.01 0.04 0.00 -0.335 0.33 -0.01 0.040.04 0.00 4.665 4.67 0.20 0.04 0.00 4.665 4.67 0.20 0.04 0.00 4.665 4.67 0.20 0.040.04 0.00 4.0399 4.04 0.17 0.04 0.00 4.0398 4.04 0.17 0.04 0.00 4.0398 4.04 0.17 0.040.17 0.00 0.00 0.17 0.00 0.17 0.00 0.170.04 0.00 -4.040 4.04 -0.17 0.04 0.00 -4.040 4.04 -0.17 0.04 0.00 -4.040 4.04 -0.17 0.040.06 0.00 6.626 6.63 0.43 0.06 0.00 6.626 6.63 0.43 0.06 0.00 6.626 6.63 0.43 0.060.03 0.00 16.626 16.63 0.49 0.03 0.00 16.626 16.63 0.49 0.03 0.00 16.626 16.63 0.49 0.030.04 0.00 -20.364 20.36 -0.75 0.04 0.00 -20.364 20.36 -0.75 0.04 0.00 -20.364 20.36 -0.75 0.040.17 0.0000 0.17 0.0000 0.17 0.0000 0.17
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DECIMA PRIMERA DECIMA SEGUNDA DECIMA TERCERA DECIMA CUARTAq Q h h/Q q Q h h/Q q Q h h/Q q
0.00 -7.325 7.32 -0.35 0.05 0.00 -7.32 7.32 -0.35 0.05 0.00 -7.32 7.32 -0.35 0.05 0.000.00 -0.335 0.33 -0.01 0.04 0.00 -0.33 0.33 -0.01 0.04 0.00 -0.33 0.33 -0.01 0.04 0.000.00 4.665 4.67 0.20 0.04 0.00 4.67 4.67 0.20 0.04 0.00 4.67 4.67 0.20 0.04 0.000.00 4.0398 4.04 0.17 0.04 0.00 4.04 4.04 0.17 0.04 0.00 4.04 4.04 0.17 0.04 0.00
0.00 0.35 0.00 0.35 0.00 0.350.00 -4.040 4.04 -0.17 0.04 0.00 -4.04 4.04 -0.17 0.04 0.00 -4.04 4.04 -0.17 0.04 0.000.00 6.626 6.63 0.43 0.06 0.00 6.63 6.63 0.43 0.06 0.00 6.63 6.63 0.43 0.06 0.000.00 16.626 16.63 0.49 0.03 0.00 16.63 16.63 0.49 0.03 0.00 16.63 16.63 0.49 0.03 0.000.00 -20.364 20.36 -0.75 0.04 0.00 -20.36 20.36 -0.75 0.04 0.00 -20.36 20.36 -0.75 0.04 0.00
0.0000002 0.17 0.00 0.17 0.00 0.17
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DECIMA CUARTA DECIMA QUINTA DECIMA SEXTA 17Q h h/Q q Q h h/Q q Q h h/Q q Q
-7.32 7.32 -0.35 0.05 0.00 -7.32 7.32 -0.35 0.05 0.00 -7.32 7.32 -0.35 0.05 0.00 -7.32-0.33 0.33 -0.01 0.04 0.00 -0.33 0.33 -0.01 0.04 0.00 -0.33 0.33 -0.01 0.04 0.00 -0.334.67 4.67 0.20 0.04 0.00 4.67 4.67 0.20 0.04 0.00 4.67 4.67 0.20 0.04 0.00 4.674.04 4.04 0.17 0.04 0.00 4.04 4.04 0.17 0.04 0.00 4.04 4.04 0.17 0.04 0.00 4.04
0.00 0.35 0.00 0.35 0.00 0.17-4.04 4.04 -0.17 0.04 0.00 -4.04 4.04 -0.17 0.04 0.00 -4.04 4.04 -0.17 0.04 0.00 -4.046.63 6.63 0.43 0.06 0.00 6.63 6.63 0.43 0.06 0.00 6.63 6.63 0.43 0.06 0.00 6.63
16.63 16.63 0.49 0.03 0.00 16.63 16.63 0.49 0.03 0.00 16.63 16.63 0.49 0.03 0.00 16.63-20.36 20.36 -0.75 0.04 0.00 -20.36 20.36 -0.75 0.04 0.00 -20.36 20.36 -0.75 0.04 0.00 -20.36
0.00 0.17 0.00 0.17 0.00 0.17
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17 18 19 20h h/Q q Q h h/Q q Q h h/Q q Q
7.32 -0.35 0.05 0.00 -7.32 7.32 -0.35 0.05 0.00 -7.32 7.32 -0.35 0.05 0.00 -7.32 7.320.33 -0.01 0.04 0.00 -0.33 0.33 -0.01 0.04 0.00 -0.33 0.33 -0.01 0.04 0.00 -0.33 0.334.67 0.20 0.04 0.00 4.67 4.67 0.20 0.04 0.00 4.67 4.67 0.20 0.04 0.00 4.67 4.674.04 0.17 0.04 0.00 4.04 4.04 0.17 0.04 0.00 4.04 4.04 0.17 0.04 0.00 4.04 4.04
0.00 0.17 0.00 0.17 0.00 0.174.04 -0.17 0.04 0.00 -4.04 4.04 -0.17 0.04 0.00 -4.04 4.04 -0.17 0.04 0.00 -4.04 4.046.63 0.43 0.06 0.00 6.63 6.63 0.43 0.06 0.00 6.63 6.63 0.43 0.06 0.00 6.63 6.63
16.63 0.49 0.03 0.00 16.63 16.63 0.49 0.03 0.00 16.63 16.63 0.49 0.03 0.00 16.63 16.6320.36 -0.75 0.04 0.00 -20.36 20.36 -0.75 0.04 0.00 -20.36 20.36 -0.75 0.04 0.00 -20.36 20.36
0.00 0.17 0.00 0.17 0.00 0.17
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21 22 23 24h h/Q q Q h h/Q q Q h h/Q q Q h
-0.35 0.05 0.00 -7.32 7.32 -0.35 0.05 0.00 -7.325 7.32 -0.35 0.05 0.00 -7.325 7.32 -0.35-0.01 0.04 0.00 -0.33 0.33 -0.01 0.04 0.00 -0.335 0.33 -0.01 0.04 0.00 -0.335 0.33 -0.010.20 0.04 0.00 4.67 4.67 0.20 0.04 0.00 4.665 4.67 0.20 0.04 0.00 4.665 4.67 0.200.17 0.04 0.00 4.04 4.04 0.17 0.04 0.00 4.0398 4.04 0.17 0.04 0.00 4.0398 4.04 0.170.00 0.17 0.00 0.17 0.00 0.00 0.17 0.00
-0.17 0.04 0.00 -4.04 4.04 -0.17 0.04 0.00 -4.040 4.04 -0.17 0.04 0.00 -4.040 4.04 -0.170.43 0.06 0.00 6.63 6.63 0.43 0.06 0.00 6.626 6.63 0.43 0.06 0.00 6.626 6.63 0.430.49 0.03 0.00 16.63 16.63 0.49 0.03 0.00 16.626 16.63 0.49 0.03 0.00 16.626 16.63 0.49
-0.75 0.04 0.00 -20.36 20.36 -0.75 0.04 0.00 -20.364 20.36 -0.75 0.04 0.00 -20.364 20.36 -0.750.00 0.17 0.0000 0.17 0.0000 0.17 0.0000
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24 25 26 27h/Q q Q h h/Q q Q h h/Q q Q h h/Q
0.05 0.00 -7.325 7.32 -0.35 0.05 0.00 -7.325 7.32 -0.35 0.05 0.00 -7.32 7.32 -0.35 0.050.04 0.00 -0.335 0.33 -0.01 0.04 0.00 -0.335 0.33 -0.01 0.04 0.00 -0.33 0.33 -0.01 0.040.04 0.00 4.665 4.67 0.20 0.04 0.00 4.665 4.67 0.20 0.04 0.00 4.67 4.67 0.20 0.040.04 0.00 4.0398 4.04 0.17 0.04 0.00 4.0398 4.04 0.17 0.04 0.00 4.04 4.04 0.17 0.040.17 0.00 0.17 0.00 0.35 0.00 0.350.04 0.00 -4.040 4.04 -0.17 0.04 0.00 -4.040 4.04 -0.17 0.04 0.00 -4.04 4.04 -0.17 0.040.06 0.00 6.626 6.63 0.43 0.06 0.00 6.626 6.63 0.43 0.06 0.00 6.63 6.63 0.43 0.060.03 0.00 16.626 16.63 0.49 0.03 0.00 16.626 16.63 0.49 0.03 0.00 16.63 16.63 0.49 0.030.04 0.00 -20.364 20.36 -0.75 0.04 0.00 -20.364 20.36 -0.75 0.04 0.00 -20.36 20.36 -0.75 0.040.17 0.0000 0.17 0.00 0.17 0.00 0.17
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27 28 29 30q Q h h/Q q Q h h/Q q Q h h/Q q
0.00 -7.32 7.32 -0.35 0.05 0.00 -7.32 7.32 -0.35 0.05 0.00 -7.32 7.32 -0.35 0.05 0.000.00 -0.33 0.33 -0.01 0.04 0.00 -0.33 0.33 -0.01 0.04 0.00 -0.33 0.33 -0.01 0.04 0.000.00 4.67 4.67 0.20 0.04 0.00 4.67 4.67 0.20 0.04 0.00 4.67 4.67 0.20 0.04 0.000.00 4.04 4.04 0.17 0.04 0.00 4.04 4.04 0.17 0.04 0.00 4.04 4.04 0.17 0.04 0.00
0.00 0.35 0.00 0.35 0.00 0.350.00 -4.04 4.04 -0.17 0.04 0.00 -4.04 4.04 -0.17 0.04 0.00 -4.04 4.04 -0.17 0.04 0.000.00 6.63 6.63 0.43 0.06 0.00 6.63 6.63 0.43 0.06 0.00 6.63 6.63 0.43 0.06 0.000.00 16.63 16.63 0.49 0.03 0.00 16.63 16.63 0.49 0.03 0.00 16.63 16.63 0.49 0.03 0.000.00 -20.36 20.36 -0.75 0.04 0.00 -20.36 20.36 -0.75 0.04 0.00 -20.36 20.36 -0.75 0.04 0.00
0.00 0.17 0.00 0.17 0.00 0.17
ǀQǀ ǀQǀ ǀQǀ
30Q
-7.32 7.32-0.33 0.334.67 4.674.04 4.04
-4.04 4.046.63 6.63
16.63 16.63-20.36 20.36
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