calculo de cross
15
9 L = 294.85 M L = 386.62 M N M L = 471.89 M L = 418.53 M 6 L = 384.5 M L =430.93 O P Calculo de las pendientes DATOS GENERALES S NM= 230.17 -230.44 -=0.00092 PUNTO COTA TRAMO LONGITUD 294.85 N 230.17 N-M 294.85 M 230.44 M-R 386.62 S MR= 230.44 -232.58 -=0.00554 R 232.58 R-Q 367.78 386.62 Q 232.00 Q-P 430.93 P 231.12 P-O 384.50 S RQ= 232.58 -232.00 =0.00158 O 231.93 M-P 418.53 367.78 N-O 471.89 S QP= 232.00 -231.12 =0.00204 430.93 CUADRO DE RESUMEN TRAMO S (m/m) S PO= 231.12 -231.93 -=0.00211 S NM= -0.000916 0.0009157198576 384.5 S MR= -0.005535 0.0055351507941 S RQ= 0.001577 0.001577029746 S MP= 230.44 -231.12 -=0.00162 S QP= 0.002042 0.0020420950038 418.53 S PO= -0.002107 0.0021066319896 S MP= -0.001625 0.0016247341887 S NO= 230.17 -231.93 -=0.00373 S NO= -0.003730 0.0037296827651 471.89 Calculo de Los diámetros Donde: D = Diámetro de la tubería (pulg) Coeficiente de material 0.73 Q= Caudal del tramo (l/s) S= Pendiente del tramo (m/m) TRAMO Qmarcha PENDIENTE D (pulg) Diámetro Comercial N-M 4.99 l/s 0.73 0.000916 5.843 '' D AB= 6 pulg M-R 17.99 l/s 0.73 0.005535 6.519 '' D BC= 8 pulg R-Q 19.00 l/s 0.73 0.001577 8.664 '' D CD= 8 pulg Q-P 9.00 l/s 0.73 0.002042 6.178 '' D DE= 6 pulg P-O 7.00 l/s 0.73 0.002107 5.578 '' D EF= 6 pulg M-P 4.00 l/s 0.73 0.001625 4.763 '' D GF= 6 pulg N-O 2.00 l/s 0.73 0.003730 3.074 '' D AG= 4 pulg 6.99GND 5GHD α = α = α I I I 4.99 2 7 9 4 17.99 19
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calculo de cross
Transcript of calculo de cross
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
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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
ǀQǀ
