practica 2 civ-2238-c ultimo

FACULTAD NACIONAL DE INGENIERÍA CIVIL TRABAJO PRACTICO Nº 2

CIV 2238 - SISTEMAS DE AGUA POTABLE

REDES CERRADAS

1.- Calcular caudales y diámetros de cada tramo (ramal)

2.- Con los métodos del Gradiente Hidráulico, calcular presiones en los nodos aplicando H.Cross y NewRaphson

3.- Con los coeficientes K2, simular el funcionamiento de la red a Hs. 3:00; 11:00 y 17:00

CAUDAL DE DISEÑO Nº Lista L

1 41 1000

Qdis = (D + M + A + N) 2 42 990

3 43 980

D = Dia de nacimiento 4 44 970

M = Més de nacimiento 5 45 960

A = Año en el que ha nacido 6 46 950

N = Nº de lista 7 47 940

8 48 930

9 49 920

a 10 50 910

Dia nacim D = 17 11 51 900

Mes nacim M = 11 12 52 890

Año nacim A = 90 13 53 880

Nº lista N = 13 14 54 870

∑ = 131 15 55 860

16 56 850

Caso a): Qdis = 131 (l/s) 17 57 840

18 58 830

19 59 820

20 60 810

CONSUMOS EN LOS NODOS 21 61 1000

22 62 990

qA = 14.0 % Qdis 18.34 23 63 980

qB = 10.0 % Qdis 13.10 24 64 970

qC = 9.0 % Qdis 11.79 25 65 960

qD = 8.0 % Qdis 10.48 26 66 950

qE = 7.0 % Qdis 9.17 27 67 940

qF = 6.0 % Qdis 7.86 28 68 930

qG = 9.5 % Qdis 12.45 29 69 920

qH = 8.5 % Qdis 11.14 30 70 910

qJ = 7.5 % Qdis 9.83 32 72 890

qK = 6.5 % Qdis 8.52 33 73 880

qM= 5.5 % Qdis 7.21 35 75 860

qN = 8.5 % Qdis 11.135 36 76 850

∑q = 100.000 131 40 80 810

DATOS

Nº Lista L T A B C D E F G H J K M N

13 880 2835 2810 2815 2801 2802 2795 2790 2785 2797 2800 2805 2814 2810

▼ Agua en el tanque

METODO GRADIENTE HIDRAULICO(HARDY CROOS)1 COTAS PIEZOMETRICAS ADOPTADAS

Nodo T1 A B C D E F G H J K M N T20 Hº 2835 2810 2815 2801 2802 2795 2790 2785 2797 2800 2805 2814 2810 2845.000

L= 792 Tramo Nº Qtram D Dc V L C K hf cotas 2835 2830 2826 2817 2820 2825 2821 2816 2825 2833 2838 2828 2833 2845.000Q= 67.331 T1-A 0 67.331 0.293 0.300 0.953 792.000 150 277 1.875

D= 0.2927947 A-E 1 17.459 0.149 0.150 0.988 792.000 150 8113 4.502 COMPENSACION DE LAS COTAS PIEZOMETRICAS1 A-B 2 31.532 0.200 0.200 1.004 748.000 150 1888 3.131

Q= 17.459 A 2 B-F 3 13.716 0.132 0.150 0.776 704.000 150 7212 2.560 Nodo Tramo Hi Hj hf K Q Q/hf ∆HA HA

L= 792 Q= 31.532 B-C 4 4.716 0.077 0.075 1.067 792.000 150 237258 11.659

AT1,A 2835.00 2830.00 5.00 277.45 0.1143 0.02287 2.162823 2832.163

L= 748 13.10 3 E-D 5 8.289 0.103 0.100 1.055 880.000 150 64942 9.069 A,B 2830.00 2826.00 4.00 1887.68 -0.0360 0.00900

9.17 E 18.34 Q= 13.72 D-C 6 4.716 0.077 0.075 1.067 880.000 150 263620 12.955 A,E 2830.00 2825.00 5.00 8113.42 -0.0185 0.00370

B L= 880 7.86 F-G 7 5.856 0.086 0.100 0.746 880.000 150 64942 4.766 qA = -0.0183

C-J 8 2.358 0.055 0.075 0.534 880.000 150 263620 3.589 ∑QA = 0.0415 0.03556 2.162823

F D-M 9 6.907 0.094 0.100 0.879 440.000 150 32471 3.235

5 Anillo I M-N 10 14.112 0.134 0.150 0.799 660.000 150 6761 2.530 Nodo Tramo Hi Hj hf K Q Q/hf ∆HB HB

Q= 8.289 4 K-N 11 25.247 0.179 0.200 0.804 440.000 150 1110 1.220

BA,B 2830.000 2826.00 4.00 1887.68 0.0360 0.00900 -0.123973 2825.876

L= 792 Q= 4.716 J-K 12 29.907 0.195 0.200 0.952 792.000 150 1999 3.005 B,C 2826.00 2817.00 9.00 237257.66 -0.0041 0.00046

L= 880 7 J-H 13 17.724 0.150 0.150 1.003 880.000 150 9015 5.144 B,F 2826.00 2821.00 5.00 7211.93 -0.0197 0.00394

6 Q= 5.86 G-H 14 6.589 0.092 0.100 0.839 792.000 150 58448 5.335 qB = -0.0131

D Q= 4.716 L= 704 T2-K 15 63.669 0.285 0.300 0.901 1056.000 150 370 2.254 ∑QB = -0.0009 0.01339 -0.123973

L= 880 Anillo II

Nodo Tramo Hi Hj hf K Q Q/hf ∆HC HC

10.48 C 11.79

CB,C 2826.00 2817.00 9.00 237257.66 0.0041 0.00046 -0.3251476 2816.675

9 G D,C 2820.00 2817.00 3.00 263619.62 0.0021 0.00071

Q= 6.907 8 12.45 J,C 2833.00 2817.00 16.00 263619.62 0.0053 0.00033

L= 660 Q= 2.358 qC = -0.0118

L= 440 ∑QC = -0.0003 0.00150 -0.3251476

Anillo III 9.83 14

M Q= 6.59 Nodo Tramo Hi Hj hf K Q Q/hf ∆HD HD

J H L= 792D

D,C 2820.00 2817.00 3.00 263619.62 -0.0021 0.00071 2.5920689 2822.592

7.21 12 13 E,D 2825.00 2820.00 5.00 64942.06 0.0060 0.00120

Q= 29.907 Q= 17.724 M,D 2828.00 2820.00 8.00 32471.03 0.0113 0.00141

10 L= 440 L= 880 11.14 qD = -0.0105

Q= 14.112 ∑QD = 0.0047 0.00332 2.5920689

L= 792

N Nodo Tramo Hi Hj hf K Q Q/hf ∆HE HE

KE A,E 2830.00 2825.00 5.00 8113.42 0.0185 0.00370 1.24663 2826.247

11 E,D 2825.00 2820.00 5.00 64942.06 -0.0060 0.00120

Q= 25.247 8.52 qE = -0.0092

11.135 L= 748 ∑QE = 0.0033 0.00490 1.24663

Nodo Tramo Hi Hj hf K Q Q/hf ∆HF HF

15F

B,F 2826.00 2821.00 5.00 7211.93 0.0197 0.00394 2.096947 2823.097

L= 1056 F,G 2821.00 2816.00 5.00 64942.06 -0.0060 0.00120

Q= 63.669 qF = -0.0079

D= 0.28472 ∑QF = 0.0058 0.00514 2.096947###

Nodo Tramo Hi Hj hf K Q Q/hf ∆HG HG

GF,G 2821.00 2816.00 5.00 64942.06 0.0060 0.00120 1.962565 2817.963

T1 H,G 2825.00 2816.00 9.00 58447.86 0.0087 0.00097

qG = -0.0124

∑QG = 0.0023 0.00217 1.962565

Nodo Tramo Hi Hj hf K Q Q/hf ∆HH HH

HH,G 2825.00 2816.00 9.00 58447.86 -0.0087 0.00097 1.284638 2826.285

J,H 2833.00 2825.00 8.00 9014.92 0.0225 0.00281

qH = -0.0111

∑QH = 0.0026 0.00378 1.284638

Nodo Tramo Hi Hj hf K Q Q/hf ∆HJ HJ

JK,J 2838.00 2833.00 5.00 1998.72 0.0394 0.00787 0.296113 2833.296

J,H 2833.00 2825.00 8.00 9014.92 -0.0225 0.00281

J,C 2833.00 2817.00 16.00 263619.62 -0.0053 0.00033

qJ= -0.0098

∑QJ= 0.0018 0.01102 0.296113

Nodo Tramo Hi Hj hf K Q Q/hf ∆HK HK

KT2,K 2845.00 2838.00 7.00 369.94 0.1174 0.01677 0.806157 2838.806

K,J 2838.00 2833.00 5.00 1998.72 -0.0394 0.00787

K,N 2838.00 2833.00 5.00 1110.40 -0.0541 0.01081

qK = -0.0085

∑QK= 0.0154 0.03546 0.806157

ECUACIONES DE CAUDAL (NODO)Nodo Tramo Hi Hj hf K Q Q/hf ∆HM HM

Tramo 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 qnM

N,M 2833.00 2828.00 5.00 6761.19 0.0204 0.00408 0.648454 2828.648

M,D 2828.00 2820.00 8.00 32471.03 -0.0113 0.00141

Qo - qA = 0 qM = -0.0072

∑QM = 0.0019 0.00549 0.648454

- qB = 0

Nodo Tramo Hi Hj hf K Q Q/hf ∆HN HN

- qC = 0N K,N 2838.00 2833.00 5.00 1110.40 0.0541 0.01081 2.804447 2835.804

N,M 2833.00 2828.00 5.00 6761.19 -0.0204 0.00408

- qD = 0 qN = -0.0111

∑QN = 0.0226 0.01489 2.804447

- qE = 0

2 .- ITERACION - qF = 0

Nodo T1 A B C D E F G H J K M N T2 - qG = 0 Hº 2835.000 2832.163 2825.876 2816.675 2822.592 2826.247 2823.097 2817.963 2826.285 2833.296 2838.806 2828.648 2835.804 2845.000

- qH = 0 COMPENSACION DE LAS COTAS PIEZOMETRICAS

- qI = 0 Nodo Tramo Hi Hj hf K Q Q/hf ∆HA HA

AT1,A 2835.00 2832.16 2.84 277.45 0.0842 0.02968 -0.014587 2832.148

- qJ = 0 A,B 2832.16 2825.88 6.29 1887.68 -0.0459 0.00731

A,E 2832.16 2826.25 5.92 8113.42 -0.0202 0.00342

- qK = 0 qA = -0.0183

∑QA = -0.0003 0.04041 -0.014587

- qL = 0

Nodo Tramo Hi Hj hf K Q Q/hf ∆HB HB

- qM = 0B

A,B 2832.163 2825.88 6.29 1887.68 0.0459 0.00731 2.058353 2827.934

B,C 2825.88 2816.67 9.20 237257.66 -0.0041 0.00045

- qN = 0 B,F 2825.88 2823.10 2.78 7211.93 -0.0143 0.00516

qB = -0.0131

- qO = 0 ∑QB = 0.0144 0.01292 2.058353

- qP = 0 Nodo Tramo Hi Hj hf K Q Q/hf ∆HC HC

CB,C 2825.88 2816.67 9.20 237257.66 0.0041 0.00045 1.2048745 2817.880

- qQ = 0 D,C 2822.59 2816.67 5.92 263619.62 0.0031 0.00052

J,C 2833.30 2816.67 16.62 263619.62 0.0054 0.00032

qC = -0.0118

∑QC = 0.0008 0.00130 1.2048745

Nodo Tramo Hi Hj hf K Q Q/hf ∆HD HD

DD,C 2822.59 2816.67 5.92 263619.62 -0.0031 0.00052 0.6307317 2823.223

E,D 2826.25 2822.59 3.65 64942.06 0.0051 0.00139

M,D 2828.65 2822.59 6.06 32471.03 0.0097 0.00160

qD = -0.0105

∑QD = 0.0012 0.00351 0.6307317

Nodo Tramo Hi Hj hf K Q Q/hf ∆HE HE

EA,E 2832.16 2826.25 5.92 8113.42 0.0202 0.00342 2.30686 2828.553

E,D 2826.25 2822.59 3.65 64942.06 -0.0051 0.00139

qE = -0.0092

∑QE = 0.0060 0.00481 2.30686


FB,F 2825.88 2823.10 2.78 7211.93 0.0143 0.00516 0.111505 2823.208

F,G 2823.10 2817.96 5.13 64942.06 -0.0061 0.00119

qF = -0.0079

∑QF = 0.0004 0.00635 0.111505


GF,G 2823.10 2817.96 5.13 64942.06 0.0061 0.00119 1.711513 2819.674

H,G 2826.28 2817.96 8.32 58447.86 0.0084 0.00101

qG = -0.0124

∑QG = 0.0020 0.00219 1.711513


HH,G 2826.28 2817.96 8.32 58447.86 -0.0084 0.00101 0.667361 2826.952

J,H 2833.30 2826.28 7.01 9014.92 0.0210 0.00299

qH = -0.0111

∑QH = 0.0014 0.00399 0.667361


JK,J 2838.81 2833.30 5.51 1998.72 0.0415 0.00753 0.908365 2834.204

J,H 2833.30 2826.28 7.01 9014.92 -0.0210 0.00299

J,C 2833.30 2816.67 16.62 263619.62 -0.0054 0.00032

qJ= -0.0098

∑QJ= 0.0053 0.01084 0.908365


KT2,K 2845.00 2838.81 6.19 369.94 0.1099 0.01774 0.895491 2839.702

K,J 2838.81 2833.30 5.51 1998.72 -0.0415 0.00753

K,N 2838.81 2835.80 3.00 1110.40 -0.0411 0.01368

qK = -0.0085

∑QK= 0.0188 0.03895 0.895491

Nodo Tramo Hi Hj hf K Q Q/hf ∆HM HM

MN,M 2835.80 2828.65 7.16 6761.19 0.0247 0.00346 2.873289 2831.522

M,D 2828.65 2822.59 6.06 32471.03 -0.0097 0.00160

qM = -0.0072

∑QM = 0.0078 0.00506 2.873289


NK,N 2838.81 2835.80 3.00 1110.40 0.0411 0.01368 0.559318 2836.364

N,M 2835.80 2828.65 7.16 6761.19 -0.0247 0.00346

qN = -0.0111

∑QN = 0.0052 0.01713 0.559318

3 .- ITERACION

Nodo T1 A B C D E F G H J K M N T2Hº 2835.000 2832.148 2827.934 2817.880 2823.223 2828.553 2823.208 2819.674 2826.952 2834.204 2839.702 2831.522 2836.364 2845.000

COMPENSACION DE LAS COTAS PIEZOMETRICAS

Nodo Tramo Hi Hj hf K Q Q/hf ∆HA HA

AT1,A 2835.00 2832.15 2.85 277.45 0.0844 0.02961 0.590563 2832.739

A,B 2832.15 2827.93 4.21 1887.68 -0.0370 0.00879

A,E 2832.15 2828.55 3.59 8113.42 -0.0155 0.00430

qA = -0.0183

∑QA = 0.0136 0.04269 0.590563


BA,B 2832.148 2827.93 4.21 1887.68 0.0370 0.00879 0.065313 2828.000

B,C 2827.93 2817.88 10.05 237257.66 -0.0044 0.00043

B,F 2827.93 2823.21 4.73 7211.93 -0.0191 0.00404

qB = -0.0131

∑QB = 0.0005 0.01326 0.065313


CB,C 2827.93 2817.88 10.05 237257.66 0.0044 0.00043 1.1757541 2819.055

D,C 2823.22 2817.88 5.34 263619.62 0.0029 0.00055

J,C 2834.20 2817.88 16.32 263619.62 0.0053 0.00033

qC = -0.0118

∑QC = 0.0008 0.00131 1.1757541


DD,C 2823.22 2817.88 5.34 263619.62 -0.0029 0.00055 2.5733556 2825.796

E,D 2828.55 2823.22 5.33 64942.06 0.0062 0.00117

M,D 2831.52 2823.22 8.30 32471.03 0.0115 0.00138

qD = -0.0105

∑QD = 0.0043 0.00310 2.5733556


EA,E 2832.15 2828.55 3.59 8113.42 0.0155 0.00430 0.02361 2828.577

E,D 2828.55 2823.22 5.33 64942.06 -0.0062 0.00117

qE = -0.0092

∑QE = 0.0001 0.00547 0.02361


FB,F 2827.93 2823.21 4.73 7211.93 0.0191 0.00404 2.125356 2825.334

F,G 2823.21 2819.67 3.53 64942.06 -0.0050 0.00141

qF = -0.0079

∑QF = 0.0063 0.00545 2.125356


GF,G 2823.21 2819.67 3.53 64942.06 0.0050 0.00141 0.245859 2819.920

H,G 2826.95 2819.67 7.28 58447.86 0.0078 0.00107

qG = -0.0124

∑QG = 0.0003 0.00248 0.245859


HH,G 2826.95 2819.67 7.28 58447.86 -0.0078 0.00107 1.112431 2828.064

J,H 2834.20 2826.95 7.25 9014.92 0.0213 0.00294

qH = -0.0111

∑QH = 0.0024 0.00401 1.112431


JK,J 2839.70 2834.20 5.50 1998.72 0.0414 0.00754 0.845182 2835.050

J,H 2834.20 2826.95 7.25 9014.92 -0.0213 0.00294

J,C 2834.20 2817.88 16.32 263619.62 -0.0053 0.00033

qJ= -0.0098

∑QJ= 0.0049 0.01081 0.845182


KT2,K 2845.00 2839.70 5.30 369.94 0.1010 0.01906 0.354127 2840.056

K,J 2839.70 2834.20 5.50 1998.72 -0.0414 0.00754

K,N 2839.70 2836.36 3.34 1110.40 -0.0435 0.01302

qK = -0.0085

∑QK= 0.0076 0.03962 0.354127


MN,M 2836.36 2831.52 4.84 6761.19 0.0200 0.00414 0.451028 2831.973

M,D 2831.52 2823.22 8.30 32471.03 -0.0115 0.00138

qM = -0.0072

∑QM = 0.0013 0.00552 0.451028


NK,N 2839.70 2836.36 3.34 1110.40 0.0435 0.01302 1.327422 2837.691

N,M 2836.36 2831.52 4.84 6761.19 -0.0200 0.00414

qN = -0.0111

∑QN = 0.0123 0.01716 1.327422

4 .- ITERACION




AT1,A 2835.00 2832.74 2.26 277.45 0.0745 0.03294 -0.001036 2832.738

A,B 2832.74 2828.00 4.74 1887.68 -0.0394 0.00832

A,E 2832.74 2828.58 4.16 8113.42 -0.0167 0.00402

qA = -0.0183

∑QA = 0.0000 0.04529 -0.001036


BA,B 2832.739 2828.00 4.74 1887.68 0.0394 0.00832 1.086632 2829.086

B,C 2828.00 2819.06 8.94 237257.66 -0.0041 0.00046

B,F 2828.00 2825.33 2.67 7211.93 -0.0140 0.00526

qB = -0.0131

∑QB = 0.0082 0.01404 1.086632


CB,C 2828.00 2819.06 8.94 237257.66 0.0041 0.00046 1.2967084 2820.352

D,C 2825.80 2819.06 6.74 263619.62 0.0033 0.00049

J,C 2835.05 2819.06 15.99 263619.62 0.0053 0.00033

qC = -0.0118

∑QC = 0.0009 0.00128 1.2967084


DD,C 2825.80 2819.06 6.74 263619.62 -0.0033 0.00049 0.1916828 2825.988

E,D 2828.58 2825.80 2.78 64942.06 0.0044 0.00157

M,D 2831.97 2825.80 6.18 32471.03 0.0098 0.00159

qD = -0.0105

∑QD = 0.0004 0.00365 0.1916828


EA,E 2832.74 2828.58 4.16 8113.42 0.0167 0.00402 1.05426 2829.631

E,D 2828.58 2825.80 2.78 64942.06 -0.0044 0.00157

qE = -0.0092

∑QE = 0.0032 0.00560 1.05426


FB,F 2828.00 2825.33 2.67 7211.93 0.0140 0.00526 -0.032677 2825.301

F,G 2825.33 2819.92 5.41 64942.06 -0.0063 0.00116

qF = -0.0079

∑QF = -0.0001 0.00642 -0.032677


GF,G 2825.33 2819.92 5.41 64942.06 0.0063 0.00116 1.794247 2821.714

H,G 2828.06 2819.92 8.14 58447.86 0.0083 0.00102

qG = -0.0124

∑QG = 0.0021 0.00218 1.794247


HH,G 2828.06 2819.92 8.14 58447.86 -0.0083 0.00102 0.690053 2828.754

J,H 2835.05 2828.06 6.99 9014.92 0.0209 0.00299

qH = -0.0111

∑QH = 0.0015 0.00401 0.690053


JK,J 2840.06 2835.05 5.01 1998.72 0.0394 0.00787 0.558798 2835.608

J,H 2835.05 2828.06 6.99 9014.92 -0.0209 0.00299

J,C 2835.05 2819.06 15.99 263619.62 -0.0053 0.00033

qJ= -0.0098

∑QJ= 0.0034 0.01119 0.558798


KT2,K 2845.00 2840.06 4.94 369.94 0.0973 0.01968 0.575314 2840.631

K,J 2840.06 2835.05 5.01 1998.72 -0.0394 0.00787

K,N 2840.06 2837.69 2.36 1110.40 -0.0361 0.01526

qK = -0.0085

∑QK= 0.0133 0.04281 0.575314


MN,M 2837.69 2831.97 5.72 6761.19 0.0219 0.00383 1.681982 2833.655

M,D 2831.97 2825.80 6.18 32471.03 -0.0098 0.00159

qM = -0.0072

∑QM = 0.0049 0.00542 1.681982


NK,N 2840.06 2837.69 2.36 1110.40 0.0361 0.01526 0.294281 2837.985

N,M 2837.69 2831.97 5.72 6761.19 -0.0219 0.00383

qN = -0.0111

∑QN = 0.0030 0.01910 0.294281

5 .- ITERACION




AT1,A 2835.00 2832.74 2.26 277.45 0.0745 0.03294 0.300664 2833.038

A,B 2832.74 2829.09 3.65 1887.68 -0.0343 0.00938

A,E 2832.74 2829.63 3.11 8113.42 -0.0143 0.00460

qA = -0.0183

∑QA = 0.0076 0.04692 0.300664


BA,B 2832.738 2829.09 3.65 1887.68 0.0343 0.00938 0.024297 2829.111

B,C 2829.09 2820.35 8.73 237257.66 -0.0040 0.00046

B,F 2829.09 2825.30 3.79 7211.93 -0.0169 0.00448

qB = -0.0131

∑QB = 0.0002 0.01432 0.024297


CB,C 2829.09 2820.35 8.73 237257.66 0.0040 0.00046 0.5623699 2820.915

D,C 2825.99 2820.35 5.64 263619.62 0.0030 0.00053

J,C 2835.61 2820.35 15.26 263619.62 0.0052 0.00034

qC = -0.0118

∑QC = 0.0004 0.00133 0.5623699


DD,C 2825.99 2820.35 5.64 263619.62 -0.0030 0.00053 1.4240141 2827.412

E,D 2829.63 2825.99 3.64 64942.06 0.0051 0.00139

M,D 2833.65 2825.99 7.67 32471.03 0.0110 0.00144

qD = -0.0105

∑QD = 0.0026 0.00336 1.4240141


EA,E 2832.74 2829.63 3.11 8113.42 0.0143 0.00460 0.01642 2829.648

E,D 2829.63 2825.99 3.64 64942.06 -0.0051 0.00139

qE = -0.0092

∑QE = 0.0001 0.00599 0.01642


FB,F 2829.09 2825.30 3.79 7211.93 0.0169 0.00448 1.279199 2826.580

F,G 2825.30 2821.71 3.59 64942.06 -0.0050 0.00140

qF = -0.0079

∑QF = 0.0041 0.00588 1.279199


GF,G 2825.30 2821.71 3.59 64942.06 0.0050 0.00140 0.171826 2821.886

H,G 2828.75 2821.71 7.04 58447.86 0.0077 0.00109

qG = -0.0124

∑QG = 0.0002 0.00249 0.171826


HH,G 2828.75 2821.71 7.04 58447.86 -0.0077 0.00109 0.860189 2829.615

J,H 2835.61 2828.75 6.85 9014.92 0.0207 0.00302

qH = -0.0111

∑QH = 0.0019 0.00411 0.860189


JK,J 2840.63 2835.61 5.02 1998.72 0.0395 0.00786 0.626465 2836.235

J,H 2835.61 2828.75 6.85 9014.92 -0.0207 0.00302

J,C 2835.61 2820.35 15.26 263619.62 -0.0052 0.00034

qJ= -0.0098

∑QJ= 0.0038 0.01121 0.626465


KT2,K 2845.00 2840.63 4.37 369.94 0.0910 0.02083 0.200966 2840.832

K,J 2840.63 2835.61 5.02 1998.72 -0.0395 0.00786

K,N 2840.63 2837.99 2.65 1110.40 -0.0383 0.01449

qK = -0.0085

∑QK= 0.0047 0.04318 0.200966


MN,M 2837.99 2833.65 4.33 6761.19 0.0189 0.00436 0.209161 2833.864

M,D 2833.65 2825.99 7.67 32471.03 -0.0110 0.00144

qM = -0.0072

ΣQ,A F1= - Q1 - Q2

ΣQ,B F2= + Q2 - Q3

ΣQ,C F3= Q3 - Q5 - Q7

ΣQ,D F4= Q5 Q6 - Q8

ΣQ,E F5= Q1 - Q4

ΣQ,F F6= Q4 - Q6 - Q9

ΣQ,G F7= + Q9 - Q10

ΣQ,H F8= + Q10 +Q11 - Q14

ΣQ,I F9= +Q8 -Q11 +Q12

ΣQ,J F10= + Q7 -Q12 -Q13

ΣQ,K F11= Q13 -Q16 -Q20

ΣQ,L F12= Q20 -Q22

ΣQ,M F13= Q15 Q16 -Q19

ΣQ,N F14= Q18 Q19 -Q21

ΣQ,O F15= Q21 Q22

ΣQ,P F16= Q14 -Q15 -Q17

ΣQ,Q F17= Q17 -Q18

T1

T2

87,4852,1

67,10

DC

LK

ij

ij

AA

h

Q

Q,ΔH

8521

ij

ij

AA

h

Q

Q,ΔH

8521

∑QM = 0.0007 0.00579 0.209161


NK,N 2840.63 2837.99 2.65 1110.40 0.0383 0.01449 0.819919 2838.805

N,M 2837.99 2833.65 4.33 6761.19 -0.0189 0.00436

qN = -0.0111

∑QN = 0.0083 0.01885 0.819919

6 .- ITERACION




AT1,A 2835.00 2833.04 1.96 277.45 0.0690 0.03517 0.001014 2833.039

A,B 2833.04 2829.11 3.93 1887.68 -0.0356 0.00907

A,E 2833.04 2829.65 3.39 8113.42 -0.0150 0.00442

qA = -0.0183

∑QA = 0.0000 0.04866 0.001014


BA,B 2833.038 2829.11 3.93 1887.68 0.0356 0.00907 0.621458 2829.732

B,C 2829.11 2820.91 8.20 237257.66 -0.0039 0.00048

B,F 2829.11 2826.58 2.53 7211.93 -0.0136 0.00539

qB = -0.0131

∑QB = 0.0050 0.01494 0.621458


CB,C 2829.11 2820.91 8.20 237257.66 0.0039 0.00048 0.7345496 2821.649

D,C 2827.41 2820.91 6.50 263619.62 0.0032 0.00050

J,C 2836.23 2820.91 15.32 263619.62 0.0052 0.00034

qC = -0.0118

∑QC = 0.0005 0.00131 0.7345496


DD,C 2827.41 2820.91 6.50 263619.62 -0.0032 0.00050 0.0927833 2827.505

E,D 2829.65 2827.41 2.24 64942.06 0.0039 0.00174

M,D 2833.86 2827.41 6.45 32471.03 0.0100 0.00155

qD = -0.0105

∑QD = 0.0002 0.00379 0.0927833


EA,E 2833.04 2829.65 3.39 8113.42 0.0150 0.00442 0.57704 2830.225

E,D 2829.65 2827.41 2.24 64942.06 -0.0039 0.00174

qE = -0.0092

∑QE = 0.0019 0.00616 0.57704


FB,F 2829.11 2826.58 2.53 7211.93 0.0136 0.00539 -0.010612 2826.570

F,G 2826.58 2821.89 4.69 64942.06 -0.0058 0.00124

qF = -0.0079

∑QF = 0.0000 0.00662 -0.010612


GF,G 2826.58 2821.89 4.69 64942.06 0.0058 0.00124 1.147220 2823.033

H,G 2829.61 2821.89 7.73 58447.86 0.0080 0.00104

qG = -0.0124

∑QG = 0.0014 0.00228 1.147220


HH,G 2829.61 2821.89 7.73 58447.86 -0.0080 0.00104 0.508301 2830.123

J,H 2836.23 2829.61 6.62 9014.92 0.0203 0.00307

qH = -0.0111

∑QH = 0.0011 0.00411 0.508301


JK,J 2840.83 2836.23 4.60 1998.72 0.0376 0.00818 0.371378 2836.606

J,H 2836.23 2829.61 6.62 9014.92 -0.0203 0.00307

J,C 2836.23 2820.91 15.32 263619.62 -0.0052 0.00034

qJ= -0.0098

∑QJ= 0.0023 0.01159 0.371378


KT2,K 2845.00 2840.83 4.17 369.94 0.0887 0.02129 0.378926 2841.211

K,J 2840.83 2836.23 4.60 1998.72 -0.0376 0.00818

K,N 2840.83 2838.81 2.03 1110.40 -0.0332 0.01638

qK = -0.0085

∑QK= 0.0094 0.04586 0.378926


MN,M 2838.81 2833.86 4.94 6761.19 0.0203 0.00410 0.991216 2834.855

M,D 2833.86 2827.41 6.45 32471.03 -0.0100 0.00155

qM = -0.0072

∑QM = 0.0030 0.00565 0.991216


NK,N 2840.83 2838.81 2.03 1110.40 0.0332 0.01638 0.163911 2838.969

N,M 2838.81 2833.86 4.94 6761.19 -0.0203 0.00410

qN = -0.0111

∑QN = 0.0018 0.02048 0.163911

7 .- ITERACION




AT1,A 2835.00 2833.04 1.96 277.45 0.0690 0.03518 0.171027 2833.210

A,B 2833.04 2829.73 3.31 1887.68 -0.0325 0.00982

A,E 2833.04 2830.22 2.81 8113.42 -0.0135 0.00481

qA = -0.0183

∑QA = 0.0046 0.04981 0.171027


BA,B 2833.039 2829.73 3.31 1887.68 0.0325 0.00982 0.016792 2829.749

B,C 2829.73 2821.65 8.08 237257.66 -0.0039 0.00048

B,F 2829.73 2826.57 3.16 7211.93 -0.0154 0.00486

qB = -0.0131

∑QB = 0.0001 0.01516 0.016792


CB,C 2829.73 2821.65 8.08 237257.66 0.0039 0.00048 0.3412538 2821.990

D,C 2827.50 2821.65 5.86 263619.62 0.0031 0.00052

J,C 2836.61 2821.65 14.96 263619.62 0.0051 0.00034

qC = -0.0118

∑QC = 0.0002 0.00134 0.3412538


DD,C 2827.50 2821.65 5.86 263619.62 -0.0031 0.00052 0.7935417 2828.298

E,D 2830.22 2827.50 2.72 64942.06 0.0043 0.00159

M,D 2834.86 2827.50 7.35 32471.03 0.0108 0.00146

qD = -0.0105

∑QD = 0.0015 0.00358 0.7935417


EA,E 2833.04 2830.22 2.81 8113.42 0.0135 0.00481 0.01490 2830.240

E,D 2830.22 2827.50 2.72 64942.06 -0.0043 0.00159

qE = -0.0092

∑QE = 0.0001 0.00640 0.01490


FB,F 2829.73 2826.57 3.16 7211.93 0.0154 0.00486 0.747075 2827.317

F,G 2826.57 2823.03 3.54 64942.06 -0.0050 0.00141

qF = -0.0079

∑QF = 0.0025 0.00627 0.747075


GF,G 2826.57 2823.03 3.54 64942.06 0.0050 0.00141 0.164523 2823.198

H,G 2830.12 2823.03 7.09 58447.86 0.0077 0.00108

qG = -0.0124

∑QG = 0.0002 0.00249 0.164523


HH,G 2830.12 2823.03 7.09 58447.86 -0.0077 0.00108 0.560897 2830.684

J,H 2836.61 2830.12 6.48 9014.92 0.0201 0.00310

qH = -0.0111

∑QH = 0.0013 0.00418 0.560897


JK,J 2841.21 2836.61 4.60 1998.72 0.0377 0.00818 0.422756 2837.029

J,H 2836.61 2830.12 6.48 9014.92 -0.0201 0.00310

J,C 2836.61 2821.65 14.96 263619.62 -0.0051 0.00034

qJ= -0.0098

∑QJ= 0.0027 0.01162 0.422756


KT2,K 2845.00 2841.21 3.79 369.94 0.0843 0.02224 0.122231 2841.333

K,J 2841.21 2836.61 4.60 1998.72 -0.0377 0.00818

K,N 2841.21 2838.97 2.24 1110.40 -0.0351 0.01564

qK = -0.0085

∑QK= 0.0030 0.04606 0.122231


MN,M 2838.97 2834.86 4.11 6761.19 0.0184 0.00446 0.120801 2834.976

M,D 2834.86 2827.50 7.35 32471.03 -0.0108 0.00146

qM = -0.0072

∑QM = 0.0004 0.00592 0.120801


NK,N 2841.21 2838.97 2.24 1110.40 0.0351 0.01564 0.514020 2839.483

N,M 2838.97 2834.86 4.11 6761.19 -0.0184 0.00446

qN = -0.0111

∑QN = 0.0056 0.02010 0.514020

8 .- ITERACION




AT1,A 2835.00 2833.21 1.79 277.45 0.0657 0.03669 0.002661 2833.213

A,B 2833.21 2829.75 3.46 1887.68 -0.0333 0.00962

A,E 2833.21 2830.24 2.97 8113.42 -0.0139 0.00470

qA = -0.0183

∑QA = 0.0001 0.05100 0.002661


BA,B 2833.210 2829.75 3.46 1887.68 0.0333 0.00962 0.363932 2830.113

B,C 2829.75 2821.99 7.76 237257.66 -0.0038 0.00049

B,F 2829.75 2827.32 2.43 7211.93 -0.0133 0.00549

qB = -0.0131

∑QB = 0.0031 0.01559 0.363932


CB,C 2829.75 2821.99 7.76 237257.66 0.0038 0.00049 0.4216771 2822.412

D,C 2828.30 2821.99 6.31 263619.62 0.0032 0.00051

J,C 2837.03 2821.99 15.04 263619.62 0.0051 0.00034

qC = -0.0118

∑QC = 0.0003 0.00133 0.4216771


DD,C 2828.30 2821.99 6.31 263619.62 -0.0032 0.00051 0.0684305 2828.367

E,D 2830.24 2828.30 1.94 64942.06 0.0036 0.00186

M,D 2834.98 2828.30 6.68 32471.03 0.0102 0.00153

qD = -0.0105

∑QD = 0.0001 0.00389 0.0684305


EA,E 2833.21 2830.24 2.97 8113.42 0.0139 0.00470 0.33137 2830.571

E,D 2830.24 2828.30 1.94 64942.06 -0.0036 0.00186

qE = -0.0092

∑QE = 0.0012 0.00655 0.33137


FB,F 2829.75 2827.32 2.43 7211.93 0.0133 0.00549 0.018971 2827.336

F,G 2827.32 2823.20 4.12 64942.06 -0.0054 0.00131

qF = -0.0079

∑QF = 0.0001 0.00680 0.018971


GF,G 2827.32 2823.20 4.12 64942.06 0.0054 0.00131 0.686082 2823.884

H,G 2830.68 2823.20 7.49 58447.86 0.0079 0.00106

qG = -0.0124

∑QG = 0.0009 0.00237 0.686082


HH,G 2830.68 2823.20 7.49 58447.86 -0.0079 0.00106 0.356271 2831.040

J,H 2837.03 2830.68 6.35 9014.92 0.0199 0.00313

qH = -0.0111

∑QH = 0.0008 0.00419 0.356271


JK,J 2841.33 2837.03 4.30 1998.72 0.0363 0.00844 0.236672 2837.266

J,H 2837.03 2830.68 6.35 9014.92 -0.0199 0.00313

J,C 2837.03 2821.99 15.04 263619.62 -0.0051 0.00034

qJ= -0.0098

∑QJ= 0.0015 0.01190 0.236672


KT2,K 2845.00 2841.33 3.67 369.94 0.0828 0.02258 0.244995 2841.578

K,J 2841.33 2837.03 4.30 1998.72 -0.0363 0.00844

K,N 2841.33 2839.48 1.85 1110.40 -0.0316 0.01709

qK = -0.0085

∑QK= 0.0064 0.04810 0.244995


MN,M 2839.48 2834.98 4.51 6761.19 0.0193 0.00428 0.592257 2835.568

M,D 2834.98 2828.30 6.68 32471.03 -0.0102 0.00153

qM = -0.0072

∑QM = 0.0019 0.00581 0.592257


NK,N 2841.33 2839.48 1.85 1110.40 0.0316 0.01709 0.103806 2839.587

N,M 2839.48 2834.98 4.51 6761.19 -0.0193 0.00428

qN = -0.0111

∑QN = 0.0012 0.02136 0.103806

9 .- ITERACION




AT1,A 2835.00 2833.21 1.79 277.45 0.0656 0.03671 0.100132 2833.313

A,B 2833.21 2830.11 3.10 1887.68 -0.0314 0.01012

A,E 2833.21 2830.57 2.64 8113.42 -0.0131 0.00496

qA = -0.0183

∑QA = 0.0028 0.05179 0.100132


BA,B 2833.213 2830.11 3.10 1887.68 0.0314 0.01012 0.019362 2830.132

B,C 2830.11 2822.41 7.70 237257.66 -0.0038 0.00049

B,F 2830.11 2827.34 2.78 7211.93 -0.0143 0.00516

qB = -0.0131

∑QB = 0.0002 0.01577 0.019362


CB,C 2830.11 2822.41 7.70 237257.66 0.0038 0.00049 0.2145696 2822.627

D,C 2828.37 2822.41 5.95 263619.62 0.0031 0.00052

J,C 2837.27 2822.41 14.85 263619.62 0.0051 0.00034

qC = -0.0118

∑QC = 0.0002 0.00135 0.2145696


DD,C 2828.37 2822.41 5.95 263619.62 -0.0031 0.00052 0.4558389 2828.822

E,D 2830.57 2828.37 2.20 64942.06 0.0039 0.00175

M,D 2835.57 2828.37 7.20 32471.03 0.0106 0.00148

qD = -0.0105

∑QD = 0.0009 0.00375 0.4558389


EA,E 2833.21 2830.57 2.64 8113.42 0.0131 0.00496 0.01675 2830.588

E,D 2830.57 2828.37 2.20 64942.06 -0.0039 0.00175

qE = -0.0092

∑QE = 0.0001 0.00671 0.01675


FB,F 2830.11 2827.34 2.78 7211.93 0.0143 0.00516 0.436612 2827.772

F,G 2827.34 2823.88 3.45 64942.06 -0.0049 0.00143

qF = -0.0079

∑QF = 0.0016 0.00659 0.436612


GF,G 2827.34 2823.88 3.45 64942.06 0.0049 0.00143 0.144668 2824.029

H,G 2831.04 2823.88 7.16 58447.86 0.0077 0.00108

qG = -0.0124

∑QG = 0.0002 0.00250 0.144668


HH,G 2831.04 2823.88 7.16 58447.86 -0.0077 0.00108 0.346504 2831.387

J,H 2837.27 2831.04 6.23 9014.92 0.0196 0.00316

qH = -0.0111

∑QH = 0.0008 0.00423 0.346504


JK,J 2841.58 2837.27 4.31 1998.72 0.0363 0.00843 0.278919 2837.545

J,H 2837.27 2831.04 6.23 9014.92 -0.0196 0.00316

J,C 2837.27 2822.41 14.85 263619.62 -0.0051 0.00034

qJ= -0.0098

∑QJ= 0.0018 0.01193 0.278919


KT2,K 2845.00 2841.58 3.42 369.94 0.0798 0.02331 0.077154 2841.655

K,J 2841.58 2837.27 4.31 1998.72 -0.0363 0.00843

K,N 2841.58 2839.59 1.99 1110.40 -0.0329 0.01652

qK = -0.0085

∑QK= 0.0020 0.04826 0.077154


MN,M 2839.59 2835.57 4.02 6761.19 0.0181 0.00451 0.084789 2835.653

M,D 2835.57 2828.37 7.20 32471.03 -0.0106 0.00148

qM = -0.0072

∑QM = 0.0003 0.00599 0.084789


NK,N 2841.58 2839.59 1.99 1110.40 0.0329 0.01652 0.320223 2839.907

N,M 2839.59 2835.57 4.02 6761.19 -0.0181 0.00451

qN = -0.0111

∑QN = 0.0036 0.02103 0.320223

10 .- ITERACION




AT1,A 2835.00 2833.31 1.69 277.45 0.0636 0.03770 0.004525 2833.318

A,B 2833.31 2830.13 3.18 1887.68 -0.0318 0.01000

A,E 2833.31 2830.59 2.73 8113.42 -0.0133 0.00489

qA = -0.0183

∑QA = 0.0001 0.05258 0.004525


BA,B 2833.313 2830.13 3.18 1887.68 0.0318 0.01000 0.214725 2830.347

B,C 2830.13 2822.63 7.51 237257.66 -0.0037 0.00050

B,F 2830.13 2827.77 2.36 7211.93 -0.0131 0.00556

qB = -0.0131

∑QB = 0.0019 0.01606 0.214725


CB,C 2830.13 2822.63 7.51 237257.66 0.0037 0.00050 0.2525721 2822.879

D,C 2828.82 2822.63 6.20 263619.62 0.0032 0.00051

J,C 2837.54 2822.63 14.92 263619.62 0.0051 0.00034

qC = -0.0118

∑QC = 0.0002 0.00135 0.2525721


DD,C 2828.82 2822.63 6.20 263619.62 -0.0032 0.00051 0.0558936 2828.878

E,D 2830.59 2828.82 1.77 64942.06 0.0034 0.00194

M,D 2835.65 2828.82 6.83 32471.03 0.0103 0.00151

qD = -0.0105

∑QD = 0.0001 0.00397 0.0558936


EA,E 2833.31 2830.59 2.73 8113.42 0.0133 0.00489 0.19500 2830.783

E,D 2830.59 2828.82 1.77 64942.06 -0.0034 0.00194

qE = -0.0092

∑QE = 0.0007 0.00683 0.19500


FB,F 2830.13 2827.77 2.36 7211.93 0.0131 0.00556 0.033663 2827.806

F,G 2827.77 2824.03 3.74 64942.06 -0.0051 0.00137

qF = -0.0079

∑QF = 0.0001 0.00694 0.033663


GF,G 2827.77 2824.03 3.74 64942.06 0.0051 0.00137 0.404793 2824.433

H,G 2831.39 2824.03 7.36 58447.86 0.0078 0.00107

qG = -0.0124

∑QG = 0.0005 0.00244 0.404793


HH,G 2831.39 2824.03 7.36 58447.86 -0.0078 0.00107 0.244795 2831.631

J,H 2837.54 2831.39 6.16 9014.92 0.0195 0.00317

qH = -0.0111

∑QH = 0.0006 0.00424 0.244795


JK,J 2841.66 2837.54 4.11 1998.72 0.0354 0.00862 0.148322 2837.693

J,H 2837.54 2831.39 6.16 9014.92 -0.0195 0.00317

J,C 2837.54 2822.63 14.92 263619.62 -0.0051 0.00034

qJ= -0.0098

∑QJ= 0.0010 0.01213 0.148322


KT2,K 2845.00 2841.66 3.34 369.94 0.0788 0.02356 0.156301 2841.812

K,J 2841.66 2837.54 4.11 1998.72 -0.0354 0.00862

K,N 2841.66 2839.91 1.75 1110.40 -0.0307 0.01754

qK = -0.0085

∑QK= 0.0042 0.04971 0.156301


MN,M 2839.91 2835.65 4.25 6761.19 0.0187 0.00439 0.357270 2836.010

M,D 2835.65 2828.82 6.83 32471.03 -0.0103 0.00151

qM = -0.0072

∑QM = 0.0011 0.00591 0.357270


NK,N 2841.66 2839.91 1.75 1110.40 0.0307 0.01754 0.070709 2839.978

N,M 2839.91 2835.65 4.25 6761.19 -0.0187 0.00439

qN = -0.0111

∑QN = 0.0008 0.02193 0.070709

11 .- ITERACION




AT1,A 2835.00 2833.32 1.68 277.45 0.0635 0.03775 0.059267 2833.377

A,B 2833.32 2830.35 2.97 1887.68 -0.0307 0.01032

A,E 2833.32 2830.78 2.53 8113.42 -0.0128 0.00505

qA = -0.0183

∑QA = 0.0017 0.05311 0.059267


BA,B 2833.318 2830.35 2.97 1887.68 0.0307 0.01032 0.021108 2830.368

B,C 2830.35 2822.88 7.47 237257.66 -0.0037 0.00050

B,F 2830.35 2827.81 2.54 7211.93 -0.0137 0.00538

qB = -0.0131

∑QB = 0.0002 0.01619 0.021108


CB,C 2830.35 2822.88 7.47 237257.66 0.0037 0.00050 0.1360633 2823.015

D,C 2828.88 2822.88 6.00 263619.62 0.0031 0.00052

J,C 2837.69 2822.88 14.81 263619.62 0.0051 0.00034

qC = -0.0118

∑QC = 0.0001 0.00136 0.1360633


DD,C 2828.88 2822.88 6.00 263619.62 -0.0031 0.00052 0.2682258 2829.147

E,D 2830.78 2828.88 1.90 64942.06 0.0036 0.00187

M,D 2836.01 2828.88 7.13 32471.03 0.0106 0.00148

qD = -0.0105

∑QD = 0.0006 0.00388 0.2682258


EA,E 2833.32 2830.78 2.53 8113.42 0.0128 0.00505 0.01730 2830.800

E,D 2830.78 2828.88 1.90 64942.06 -0.0036 0.00187

qE = -0.0092

∑QE = 0.0001 0.00692 0.01730


FB,F 2830.35 2827.81 2.54 7211.93 0.0137 0.00538 0.256015 2828.062

F,G 2827.81 2824.43 3.37 64942.06 -0.0049 0.00144

qF = -0.0079

∑QF = 0.0009 0.00682 0.256015


GF,G 2827.81 2824.43 3.37 64942.06 0.0049 0.00144 0.116778 2824.550

H,G 2831.63 2824.43 7.20 58447.86 0.0077 0.00108

qG = -0.0124

∑QG = 0.0002 0.00252 0.116778


HH,G 2831.63 2824.43 7.20 58447.86 -0.0077 0.00108 0.211045 2831.842

J,H 2837.69 2831.63 6.06 9014.92 0.0194 0.00319

qH = -0.0111

∑QH = 0.0005 0.00427 0.211045


JK,J 2841.81 2837.69 4.12 1998.72 0.0355 0.00861 0.181997 2837.875

J,H 2837.69 2831.63 6.06 9014.92 -0.0194 0.00319

J,C 2837.69 2822.88 14.81 263619.62 -0.0051 0.00034

qJ= -0.0098

∑QJ= 0.0012 0.01215 0.181997


KT2,K 2845.00 2841.81 3.19 369.94 0.0768 0.02408 0.050037 2841.862

K,J 2841.81 2837.69 4.12 1998.72 -0.0355 0.00861

K,N 2841.81 2839.98 1.83 1110.40 -0.0315 0.01716

qK = -0.0085

∑QK= 0.0013 0.04985 0.050037


MN,M 2839.98 2836.01 3.97 6761.19 0.0180 0.00454 0.063053 2836.073

M,D 2836.01 2828.88 7.13 32471.03 -0.0106 0.00148

qM = -0.0072

∑QM = 0.0002 0.00602 0.063053


NK,N 2841.81 2839.98 1.83 1110.40 0.0315 0.01716 0.198877 2840.177

N,M 2839.98 2836.01 3.97 6761.19 -0.0180 0.00454

qN = -0.0111

∑QN = 0.0023 0.02169 0.198877

12 .- ITERACION




AT1,A 2835.00 2833.38 1.62 277.45 0.0623 0.03837 0.005381 2833.382

A,B 2833.38 2830.37 3.01 1887.68 -0.0309 0.01026

A,E 2833.38 2830.80 2.58 8113.42 -0.0129 0.00501

qA = -0.0183

∑QA = 0.0002 0.05364 0.005381


BA,B 2833.377 2830.37 3.01 1887.68 0.0309 0.01026 0.127156 2830.495

B,C 2830.37 2823.02 7.35 237257.66 -0.0037 0.00050

B,F 2830.37 2828.06 2.31 7211.93 -0.0130 0.00562

qB = -0.0131

∑QB = 0.0011 0.01638 0.127156


CB,C 2830.37 2823.02 7.35 237257.66 0.0037 0.00050 0.1559344 2823.171

D,C 2829.15 2823.02 6.13 263619.62 0.0031 0.00051

J,C 2837.87 2823.02 14.86 263619.62 0.0051 0.00034

qC = -0.0118

∑QC = 0.0001 0.00136 0.1559344


DD,C 2829.15 2823.02 6.13 263619.62 -0.0031 0.00051 0.0447127 2829.191

E,D 2830.80 2829.15 1.65 64942.06 0.0033 0.00200

M,D 2836.07 2829.15 6.93 32471.03 0.0104 0.00150

qD = -0.0105

∑QD = 0.0001 0.00402 0.0447127


EA,E 2833.38 2830.80 2.58 8113.42 0.0129 0.00501 0.11642 2830.917

E,D 2830.80 2829.15 1.65 64942.06 -0.0033 0.00200

qE = -0.0092

∑QE = 0.0004 0.00701 0.11642


FB,F 2830.37 2828.06 2.31 7211.93 0.0130 0.00562 0.036305 2828.098

F,G 2828.06 2824.55 3.51 64942.06 -0.0050 0.00141

qF = -0.0079

∑QF = 0.0001 0.00704 0.036305


GF,G 2828.06 2824.55 3.51 64942.06 0.0050 0.00141 0.239059 2824.789

H,G 2831.84 2824.55 7.29 58447.86 0.0078 0.00107

qG = -0.0124

∑QG = 0.0003 0.00248 0.239059


HH,G 2831.84 2824.55 7.29 58447.86 -0.0078 0.00107 0.165589 2832.008

J,H 2837.87 2831.84 6.03 9014.92 0.0193 0.00320

qH = -0.0111

∑QH = 0.0004 0.00427 0.165589


JK,J 2841.86 2837.87 3.99 1998.72 0.0348 0.00874 0.093078 2837.968

J,H 2837.87 2831.84 6.03 9014.92 -0.0193 0.00320

J,C 2837.87 2823.02 14.86 263619.62 -0.0051 0.00034

qJ= -0.0098

∑QJ= 0.0006 0.01228 0.093078


KT2,K 2845.00 2841.86 3.14 369.94 0.0761 0.02426 0.099003 2841.961

K,J 2841.86 2837.87 3.99 1998.72 -0.0348 0.00874

K,N 2841.86 2840.18 1.68 1110.40 -0.0301 0.01784

qK = -0.0085

∑QK= 0.0027 0.05083 0.099003


MN,M 2840.18 2836.07 4.10 6761.19 0.0183 0.00447 0.217314 2836.291

M,D 2836.07 2829.15 6.93 32471.03 -0.0104 0.00150

qM = -0.0072

∑QM = 0.0007 0.00597 0.217314


NK,N 2841.86 2840.18 1.68 1110.40 0.0301 0.01784 0.049299 2840.226

N,M 2840.18 2836.07 4.10 6761.19 -0.0183 0.00447

qN = -0.0111

∑QN = 0.0006 0.02230 0.049299

13 .- ITERACION




AT1,A 2835.00 2833.38 1.62 277.45 0.0622 0.03843 0.035281 2833.418

A,B 2833.38 2830.50 2.89 1887.68 -0.0302 0.01045

A,E 2833.38 2830.92 2.47 8113.42 -0.0126 0.00512

qA = -0.0183

∑QA = 0.0010 0.05400 0.035281


BA,B 2833.382 2830.50 2.89 1887.68 0.0302 0.01045 0.020025 2830.515

B,C 2830.50 2823.17 7.32 237257.66 -0.0037 0.00050

B,F 2830.50 2828.10 2.40 7211.93 -0.0132 0.00552

qB = -0.0131

∑QB = 0.0002 0.01648 0.020025


CB,C 2830.50 2823.17 7.32 237257.66 0.0037 0.00050 0.0867434 2823.258

D,C 2829.19 2823.17 6.02 263619.62 0.0031 0.00052

J,C 2837.97 2823.17 14.80 263619.62 0.0051 0.00034

qC = -0.0118

∑QC = 0.0001 0.00136 0.0867434


DD,C 2829.19 2823.17 6.02 263619.62 -0.0031 0.00052 0.1606439 2829.352

E,D 2830.92 2829.19 1.73 64942.06 0.0034 0.00196

M,D 2836.29 2829.19 7.10 32471.03 0.0106 0.00149

qD = -0.0105

∑QD = 0.0003 0.00397 0.1606439


EA,E 2833.38 2830.92 2.47 8113.42 0.0126 0.00512 0.01585 2830.932

E,D 2830.92 2829.19 1.73 64942.06 -0.0034 0.00196

qE = -0.0092

∑QE = 0.0001 0.00708 0.01585


FB,F 2830.50 2828.10 2.40 7211.93 0.0132 0.00552 0.150839 2828.249

F,G 2828.10 2824.79 3.31 64942.06 -0.0048 0.00145

qF = -0.0079

∑QF = 0.0006 0.00698 0.150839


GF,G 2828.10 2824.79 3.31 64942.06 0.0048 0.00145 0.088749 2824.878

H,G 2832.01 2824.79 7.22 58447.86 0.0078 0.00107

qG = -0.0124

∑QG = 0.0001 0.00253 0.088749


HH,G 2832.01 2824.79 7.22 58447.86 -0.0078 0.00107 0.128832 2832.137

J,H 2837.97 2832.01 5.96 9014.92 0.0192 0.00322

qH = -0.0111

∑QH = 0.0003 0.00429 0.128832


JK,J 2841.96 2837.97 3.99 1998.72 0.0349 0.00873 0.117879 2838.086

J,H 2837.97 2832.01 5.96 9014.92 -0.0192 0.00322

J,C 2837.97 2823.17 14.80 263619.62 -0.0051 0.00034

qJ= -0.0098

∑QJ= 0.0008 0.01229 0.117879


KT2,K 2845.00 2841.96 3.04 369.94 0.0748 0.02462 0.032993 2841.994

K,J 2841.96 2837.97 3.99 1998.72 -0.0349 0.00873

K,N 2841.96 2840.23 1.73 1110.40 -0.0305 0.01760

qK = -0.0085

∑QK= 0.0009 0.05095 0.032993


MN,M 2840.23 2836.29 3.94 6761.19 0.0179 0.00455 0.046636 2836.337

M,D 2836.29 2829.19 7.10 32471.03 -0.0106 0.00149

qM = -0.0072

∑QM = 0.0002 0.00604 0.046636


NK,N 2841.96 2840.23 1.73 1110.40 0.0305 0.01760 0.123580 2840.350

N,M 2840.23 2836.29 3.94 6761.19 -0.0179 0.00455

qN = -0.0111

∑QN = 0.0015 0.02215 0.123580

14 .- ITERACION




AT1,A 2835.00 2833.42 1.58 277.45 0.0614 0.03882 0.005224 2833.423

A,B 2833.42 2830.52 2.90 1887.68 -0.0303 0.01043

A,E 2833.42 2830.93 2.49 8113.42 -0.0127 0.00510

qA = -0.0183

∑QA = 0.0002 0.05435 0.005224


BA,B 2833.418 2830.52 2.90 1887.68 0.0303 0.01043 0.075579 2830.591

B,C 2830.52 2823.26 7.26 237257.66 -0.0037 0.00050

B,F 2830.52 2828.25 2.27 7211.93 -0.0128 0.00567

qB = -0.0131

∑QB = 0.0007 0.01660 0.075579


CB,C 2830.52 2823.26 7.26 237257.66 0.0037 0.00050 0.0980854 2823.356

D,C 2829.35 2823.26 6.09 263619.62 0.0031 0.00052

J,C 2838.09 2823.26 14.83 263619.62 0.0051 0.00034

qC = -0.0118

∑QC = 0.0001 0.00136 0.0980854


DD,C 2829.35 2823.26 6.09 263619.62 -0.0031 0.00052 0.0343084 2829.386

E,D 2830.93 2829.35 1.58 64942.06 0.0032 0.00204

M,D 2836.34 2829.35 6.99 32471.03 0.0105 0.00150

qD = -0.0105

∑QD = 0.0001 0.00406 0.0343084


EA,E 2833.42 2830.93 2.49 8113.42 0.0127 0.00510 0.07019 2831.003

E,D 2830.93 2829.35 1.58 64942.06 -0.0032 0.00204

qE = -0.0092

∑QE = 0.0003 0.00714 0.07019


FB,F 2830.52 2828.25 2.27 7211.93 0.0128 0.00567 0.032446 2828.282

F,G 2828.25 2824.88 3.37 64942.06 -0.0049 0.00144

qF = -0.0079

∑QF = 0.0001 0.00711 0.032446


GF,G 2828.25 2824.88 3.37 64942.06 0.0049 0.00144 0.142160 2825.020

H,G 2832.14 2824.88 7.26 58447.86 0.0078 0.00107

qG = -0.0124

∑QG = 0.0002 0.00251 0.142160


HH,G 2832.14 2824.88 7.26 58447.86 -0.0078 0.00107 0.110600 2832.248

J,H 2838.09 2832.14 5.95 9014.92 0.0192 0.00322

qH = -0.0111

∑QH = 0.0003 0.00429 0.110600


JK,J 2841.99 2838.09 3.91 1998.72 0.0345 0.00882 0.058867 2838.145

J,H 2838.09 2832.14 5.95 9014.92 -0.0192 0.00322

J,C 2838.09 2823.26 14.83 263619.62 -0.0051 0.00034

qJ= -0.0098

∑QJ= 0.0004 0.01238 0.058867


KT2,K 2845.00 2841.99 3.01 369.94 0.0744 0.02474 0.062515 2842.056

K,J 2841.99 2838.09 3.91 1998.72 -0.0345 0.00882

K,N 2841.99 2840.35 1.64 1110.40 -0.0297 0.01804

qK = -0.0085

∑QK= 0.0017 0.05160 0.062515


MN,M 2840.35 2836.34 4.01 6761.19 0.0181 0.00451 0.133199 2836.470

M,D 2836.34 2829.35 6.99 32471.03 -0.0105 0.00150

qM = -0.0072

∑QM = 0.0004 0.00601 0.133199


NK,N 2841.99 2840.35 1.64 1110.40 0.0297 0.01804 0.034360 2840.384

N,M 2840.35 2836.34 4.01 6761.19 -0.0181 0.00451

qN = -0.0111

∑QN = 0.0004 0.02255 0.034360

15 .- ITERACION




AT1,A 2835.00 2833.42 1.58 277.45 0.0613 0.03888 0.021102 2833.444

A,B 2833.42 2830.59 2.83 1887.68 -0.0299 0.01055

A,E 2833.42 2831.00 2.42 8113.42 -0.0125 0.00516

qA = -0.0183

∑QA = 0.0006 0.05459 0.021102


BA,B 2833.423 2830.59 2.83 1887.68 0.0299 0.01055 0.017075 2830.608

B,C 2830.59 2823.36 7.23 237257.66 -0.0036 0.00050

B,F 2830.59 2828.28 2.31 7211.93 -0.0130 0.00562

qB = -0.0131

∑QB = 0.0002 0.01667 0.017075


CB,C 2830.59 2823.36 7.23 237257.66 0.0036 0.00050 0.0555302 2823.412

D,C 2829.39 2823.36 6.03 263619.62 0.0031 0.00052

J,C 2838.14 2823.36 14.79 263619.62 0.0051 0.00034

qC = -0.0118

∑QC = 0.0000 0.00136 0.0555302


DD,C 2829.39 2823.36 6.03 263619.62 -0.0031 0.00052 0.0974979 2829.484

E,D 2831.00 2829.39 1.62 64942.06 0.0033 0.00202

M,D 2836.47 2829.39 7.08 32471.03 0.0105 0.00149

qD = -0.0105

∑QD = 0.0002 0.00403 0.0974979


EA,E 2833.42 2831.00 2.42 8113.42 0.0125 0.00516 0.01324 2831.016

E,D 2831.00 2829.39 1.62 64942.06 -0.0033 0.00202

qE = -0.0092

∑QE = 0.0001 0.00718 0.01324


FB,F 2830.59 2828.28 2.31 7211.93 0.0130 0.00562 0.089433 2828.371

F,G 2828.28 2825.02 3.26 64942.06 -0.0048 0.00146

qF = -0.0079

∑QF = 0.0003 0.00708 0.089433


GF,G 2828.28 2825.02 3.26 64942.06 0.0048 0.00146 0.064667 2825.085

H,G 2832.25 2825.02 7.23 58447.86 0.0078 0.00107

qG = -0.0124

∑QG = 0.0001 0.00254 0.064667


HH,G 2832.25 2825.02 7.23 58447.86 -0.0078 0.00107 0.079305 2832.327

J,H 2838.14 2832.25 5.90 9014.92 0.0191 0.00324

qH = -0.0111

∑QH = 0.0002 0.00431 0.079305


JK,J 2842.06 2838.14 3.91 1998.72 0.0345 0.00882 0.075979 2838.221

J,H 2838.14 2832.25 5.90 9014.92 -0.0191 0.00324

J,C 2838.14 2823.36 14.79 263619.62 -0.0051 0.00034

qJ= -0.0098

∑QJ= 0.0005 0.01239 0.075979


KT2,K 2845.00 2842.06 2.94 369.94 0.0735 0.02498 0.021927 2842.078

K,J 2842.06 2838.14 3.91 1998.72 -0.0345 0.00882

K,N 2842.06 2840.38 1.67 1110.40 -0.0299 0.01790

qK = -0.0085

∑QK= 0.0006 0.05170 0.021927


MN,M 2840.38 2836.47 3.91 6761.19 0.0179 0.00456 0.033763 2836.504

M,D 2836.47 2829.39 7.08 32471.03 -0.0105 0.00149

qM = -0.0072

∑QM = 0.0001 0.00605 0.033763


NK,N 2842.06 2840.38 1.67 1110.40 0.0299 0.01790 0.076983 2840.461

N,M 2840.38 2836.47 3.91 6761.19 -0.0179 0.00456

qN = -0.0111

∑QN = 0.0009 0.02246 0.076983

16 .- ITERACION




AT1,A 2835.00 2833.44 1.56 277.45 0.0609 0.03913 0.004486 2833.449

A,B 2833.44 2830.61 2.84 1887.68 -0.0299 0.01054

A,E 2833.44 2831.02 2.43 8113.42 -0.0125 0.00515

qA = -0.0183

∑QA = 0.0001 0.05482 0.004486


BA,B 2833.444 2830.61 2.84 1887.68 0.0299 0.01054 0.045143 2830.653

B,C 2830.61 2823.41 7.20 237257.66 -0.0036 0.00051

B,F 2830.61 2828.37 2.24 7211.93 -0.0128 0.00570

qB = -0.0131

∑QB = 0.0004 0.01675 0.045143


CB,C 2830.61 2823.41 7.20 237257.66 0.0036 0.00051 0.0623703 2823.474

D,C 2829.48 2823.41 6.07 263619.62 0.0031 0.00052

J,C 2838.22 2823.41 14.81 263619.62 0.0051 0.00034

qC = -0.0118

∑QC = 0.0000 0.00136 0.0623703


DD,C 2829.48 2823.41 6.07 263619.62 -0.0031 0.00052 0.0253533 2829.509

E,D 2831.02 2829.48 1.53 64942.06 0.0032 0.00207

M,D 2836.50 2829.48 7.02 32471.03 0.0105 0.00149

qD = -0.0105

∑QD = 0.0001 0.00408 0.0253533


EA,E 2833.44 2831.02 2.43 8113.42 0.0125 0.00515 0.04264 2831.058

E,D 2831.02 2829.48 1.53 64942.06 -0.0032 0.00207

qE = -0.0092

∑QE = 0.0002 0.00722 0.04264


FB,F 2830.61 2828.37 2.24 7211.93 0.0128 0.00570 0.026208 2828.397

F,G 2828.37 2825.08 3.29 64942.06 -0.0048 0.00146

qF = -0.0079

∑QF = 0.0001 0.00716 0.026208


GF,G 2828.37 2825.08 3.29 64942.06 0.0048 0.00146 0.085322 2825.170

H,G 2832.33 2825.08 7.24 58447.86 0.0078 0.00107

qG = -0.0124

∑QG = 0.0001 0.00253 0.085322


HH,G 2832.33 2825.08 7.24 58447.86 -0.0078 0.00107 0.073164 2832.400

J,H 2838.22 2832.33 5.89 9014.92 0.0191 0.00324

qH = -0.0111

∑QH = 0.0002 0.00431 0.073164


JK,J 2842.08 2838.22 3.86 1998.72 0.0342 0.00887 0.037540 2838.258

J,H 2838.22 2832.33 5.89 9014.92 -0.0191 0.00324

J,C 2838.22 2823.41 14.81 263619.62 -0.0051 0.00034

qJ= -0.0098

∑QJ= 0.0003 0.01245 0.037540


KT2,K 2845.00 2842.08 2.92 369.94 0.0732 0.02507 0.039449 2842.118

K,J 2842.08 2838.22 3.86 1998.72 -0.0342 0.00887

K,N 2842.08 2840.46 1.62 1110.40 -0.0294 0.01818

qK = -0.0085

∑QK= 0.0011 0.05212 0.039449


MN,M 2840.46 2836.50 3.96 6761.19 0.0180 0.00454 0.082207 2836.586

M,D 2836.50 2829.48 7.02 32471.03 -0.0105 0.00149

qM = -0.0072

∑QM = 0.0003 0.00604 0.082207


NK,N 2842.08 2840.46 1.62 1110.40 0.0294 0.01818 0.023747 2840.485

N,M 2840.46 2836.50 3.96 6761.19 -0.0180 0.00454

qN = -0.0111

∑QN = 0.0003 0.02272 0.023747

17 .- ITERACION




AT1,A 2835.00 2833.45 1.55 277.45 0.0608 0.03918 0.012687 2833.461

A,B 2833.45 2830.65 2.80 1887.68 -0.0297 0.01061

A,E 2833.45 2831.06 2.39 8113.42 -0.0124 0.00519

qA = -0.0183

∑QA = 0.0004 0.05498 0.012687


BA,B 2833.449 2830.65 2.80 1887.68 0.0297 0.01061 0.013515 2830.666

B,C 2830.65 2823.47 7.18 237257.66 -0.0036 0.00051

B,F 2830.65 2828.40 2.26 7211.93 -0.0128 0.00568

qB = -0.0131

∑QB = 0.0001 0.01680 0.013515


CB,C 2830.65 2823.47 7.18 237257.66 0.0036 0.00051 0.0356597 2823.510

D,C 2829.51 2823.47 6.04 263619.62 0.0031 0.00052

J,C 2838.26 2823.47 14.78 263619.62 0.0051 0.00034

qC = -0.0118

∑QC = 0.0000 0.00137 0.0356597


DD,C 2829.51 2823.47 6.04 263619.62 -0.0031 0.00052 0.0597836 2829.569

E,D 2831.06 2829.51 1.55 64942.06 0.0032 0.00206

M,D 2836.59 2829.51 7.08 32471.03 0.0105 0.00149

qD = -0.0105

∑QD = 0.0001 0.00407 0.0597836


EA,E 2833.45 2831.06 2.39 8113.42 0.0124 0.00519 0.01034 2831.069

E,D 2831.06 2829.51 1.55 64942.06 -0.0032 0.00206

qE = -0.0092

∑QE = 0.0000 0.00725 0.01034


FB,F 2830.65 2828.40 2.26 7211.93 0.0128 0.00568 0.053420 2828.451

F,G 2828.40 2825.17 3.23 64942.06 -0.0047 0.00147

qF = -0.0079

∑QF = 0.0002 0.00715 0.053420


GF,G 2828.40 2825.17 3.23 64942.06 0.0047 0.00147 0.045735 2825.216

H,G 2832.40 2825.17 7.23 58447.86 0.0078 0.00107

qG = -0.0124

∑QG = 0.0001 0.00254 0.045735


HH,G 2832.40 2825.17 7.23 58447.86 -0.0078 0.00107 0.049287 2832.449

J,H 2838.26 2832.40 5.86 9014.92 0.0190 0.00325

qH = -0.0111

∑QH = 0.0001 0.00432 0.049287


JK,J 2842.12 2838.26 3.86 1998.72 0.0342 0.00887 0.048828 2838.307

J,H 2838.26 2832.40 5.86 9014.92 -0.0190 0.00325

J,C 2838.26 2823.47 14.78 263619.62 -0.0051 0.00034

qJ= -0.0098

∑QJ= 0.0003 0.01246 0.048828


KT2,K 2845.00 2842.12 2.88 369.94 0.0727 0.02522 0.014605 2842.132

K,J 2842.12 2838.26 3.86 1998.72 -0.0342 0.00887

K,N 2842.12 2840.48 1.63 1110.40 -0.0295 0.01810

qK = -0.0085

∑QK= 0.0004 0.05219 0.014605


MN,M 2840.48 2836.59 3.90 6761.19 0.0178 0.00457 0.023919 2836.610

M,D 2836.59 2829.51 7.08 32471.03 -0.0105 0.00149

qM = -0.0072

∑QM = 0.0001 0.00606 0.023919


NK,N 2842.12 2840.48 1.63 1110.40 0.0295 0.01810 0.048112 2840.533

N,M 2840.48 2836.59 3.90 6761.19 -0.0178 0.00457

qN = -0.0111

∑QN = 0.0006 0.02267 0.048112

18 .- ITERACION




AT1,A 2835.00 2833.46 1.54 277.45 0.0605 0.03933 0.003558 2833.465

A,B 2833.46 2830.67 2.79 1887.68 -0.0297 0.01061

A,E 2833.46 2831.07 2.39 8113.42 -0.0124 0.00519

qA = -0.0183

∑QA = 0.0001 0.05512 0.003558


BA,B 2833.461 2830.67 2.79 1887.68 0.0297 0.01061 0.027129 2830.694

B,C 2830.67 2823.51 7.16 237257.66 -0.0036 0.00051

B,F 2830.67 2828.45 2.22 7211.93 -0.0127 0.00573

qB = -0.0131

∑QB = 0.0002 0.01684 0.027129


CB,C 2830.67 2823.51 7.16 237257.66 0.0036 0.00051 0.0398995 2823.549

D,C 2829.57 2823.51 6.06 263619.62 0.0031 0.00052

J,C 2838.31 2823.51 14.80 263619.62 0.0051 0.00034

qC = -0.0118

∑QC = 0.0000 0.00137 0.0398995


DD,C 2829.57 2823.51 6.06 263619.62 -0.0031 0.00052 0.0181861 2829.587

E,D 2831.07 2829.57 1.50 64942.06 0.0031 0.00209

M,D 2836.61 2829.57 7.04 32471.03 0.0105 0.00149

qD = -0.0105

∑QD = 0.0000 0.00410 0.0181861


EA,E 2833.46 2831.07 2.39 8113.42 0.0124 0.00519 0.02607 2831.095

E,D 2831.07 2829.57 1.50 64942.06 -0.0031 0.00209

qE = -0.0092

∑QE = 0.0001 0.00728 0.02607


FB,F 2830.67 2828.45 2.22 7211.93 0.0127 0.00573 0.019885 2828.471

F,G 2828.45 2825.22 3.23 64942.06 -0.0048 0.00147

qF = -0.0079

∑QF = 0.0001 0.00719 0.019885


GF,G 2828.45 2825.22 3.23 64942.06 0.0048 0.00147 0.051710 2825.267

H,G 2832.45 2825.22 7.23 58447.86 0.0078 0.00107

qG = -0.0124

∑QG = 0.0001 0.00254 0.051710


HH,G 2832.45 2825.22 7.23 58447.86 -0.0078 0.00107 0.048060 2832.497

J,H 2838.31 2832.45 5.86 9014.92 0.0190 0.00325

qH = -0.0111

∑QH = 0.0001 0.00432 0.048060


JK,J 2842.13 2838.31 3.83 1998.72 0.0341 0.00891 0.024099 2838.331

J,H 2838.31 2832.45 5.86 9014.92 -0.0190 0.00325

J,C 2838.31 2823.51 14.80 263619.62 -0.0051 0.00034

qJ= -0.0098

∑QJ= 0.0002 0.01249 0.024099


KT2,K 2845.00 2842.13 2.87 369.94 0.0725 0.02528 0.024912 2842.157

K,J 2842.13 2838.31 3.83 1998.72 -0.0341 0.00891

K,N 2842.13 2840.53 1.60 1110.40 -0.0292 0.01827

qK = -0.0085

∑QK= 0.0007 0.05246 0.024912


MN,M 2840.53 2836.61 3.92 6761.19 0.0179 0.00456 0.051044 2836.661

M,D 2836.61 2829.57 7.04 32471.03 -0.0105 0.00149

qM = -0.0072

∑QM = 0.0002 0.00605 0.051044


NK,N 2842.13 2840.53 1.60 1110.40 0.0292 0.01827 0.016248 2840.549

N,M 2840.53 2836.61 3.92 6761.19 -0.0179 0.00456

qN = -0.0111

∑QN = 0.0002 0.02283 0.016248

19 .- ITERACION




AT1,A 2835.00 2833.46 1.54 277.45 0.0604 0.03937 0.007673 2833.472

A,B 2833.46 2830.69 2.77 1887.68 -0.0295 0.01065

A,E 2833.46 2831.09 2.37 8113.42 -0.0123 0.00521

qA = -0.0183

∑QA = 0.0002 0.05523 0.007673


BA,B 2833.465 2830.69 2.77 1887.68 0.0295 0.01065 0.010154 2830.704

B,C 2830.69 2823.55 7.14 237257.66 -0.0036 0.00051

B,F 2830.69 2828.47 2.22 7211.93 -0.0127 0.00572

qB = -0.0131

∑QB = 0.0001 0.01688 0.010154


CB,C 2830.69 2823.55 7.14 237257.66 0.0036 0.00051 0.0229522 2823.572

D,C 2829.59 2823.55 6.04 263619.62 0.0031 0.00052

J,C 2838.33 2823.55 14.78 263619.62 0.0051 0.00034

qC = -0.0118

∑QC = 0.0000 0.00137 0.0229522


DD,C 2829.59 2823.55 6.04 263619.62 -0.0031 0.00052 0.0369565 2829.624

E,D 2831.09 2829.59 1.51 64942.06 0.0031 0.00209

M,D 2836.66 2829.59 7.07 32471.03 0.0105 0.00149

qD = -0.0105

∑QD = 0.0001 0.00409 0.0369565


EA,E 2833.46 2831.09 2.37 8113.42 0.0123 0.00521 0.00771 2831.103

E,D 2831.09 2829.59 1.51 64942.06 -0.0031 0.00209

qE = -0.0092

∑QE = 0.0000 0.00730 0.00771


FB,F 2830.69 2828.47 2.22 7211.93 0.0127 0.00572 0.032165 2828.503

F,G 2828.47 2825.27 3.20 64942.06 -0.0047 0.00148

qF = -0.0079

∑QF = 0.0001 0.00719 0.032165


GF,G 2828.47 2825.27 3.20 64942.06 0.0047 0.00148 0.031655 2825.299

H,G 2832.50 2825.27 7.23 58447.86 0.0078 0.00107

qG = -0.0124

∑QG = 0.0000 0.00255 0.031655


HH,G 2832.50 2825.27 7.23 58447.86 -0.0078 0.00107 0.030900 2832.528

J,H 2838.33 2832.50 5.83 9014.92 0.0190 0.00325

qH = -0.0111

∑QH = 0.0001 0.00433 0.030900


JK,J 2842.16 2838.33 3.83 1998.72 0.0341 0.00891 0.031328 2838.363

J,H 2838.33 2832.50 5.83 9014.92 -0.0190 0.00325

J,C 2838.33 2823.55 14.78 263619.62 -0.0051 0.00034

qJ= -0.0098

∑QJ= 0.0002 0.01250 0.031328


KT2,K 2845.00 2842.16 2.84 369.94 0.0722 0.02538 0.009720 2842.167

K,J 2842.16 2838.33 3.83 1998.72 -0.0341 0.00891

K,N 2842.16 2840.55 1.61 1110.40 -0.0293 0.01823

qK = -0.0085

∑QK= 0.0003 0.05252 0.009720


MN,M 2840.55 2836.66 3.89 6761.19 0.0178 0.00458 0.016638 2836.678

M,D 2836.66 2829.59 7.07 32471.03 -0.0105 0.00149

qM = -0.0072

∑QM = 0.0001 0.00607 0.016638


NK,N 2842.16 2840.55 1.61 1110.40 0.0293 0.01823 0.030171 2840.579

N,M 2840.55 2836.66 3.89 6761.19 -0.0178 0.00458

qN = -0.0111

∑QN = 0.0004 0.02280 0.030171

20 .- ITERACION




AT1,A 2835.00 2833.47 1.53 277.45 0.0603 0.03946 0.002675 2833.475

A,B 2833.47 2830.70 2.77 1887.68 -0.0295 0.01066

A,E 2833.47 2831.10 2.37 8113.42 -0.0123 0.00521

qA = -0.0183

∑QA = 0.0001 0.05533 0.002675


BA,B 2833.472 2830.70 2.77 1887.68 0.0295 0.01066 0.016416 2830.720

B,C 2830.70 2823.57 7.13 237257.66 -0.0036 0.00051

B,F 2830.70 2828.50 2.20 7211.93 -0.0126 0.00574

qB = -0.0131

∑QB = 0.0001 0.01691 0.016416


CB,C 2830.70 2823.57 7.13 237257.66 0.0036 0.00051 0.0256061 2823.598

D,C 2829.62 2823.57 6.05 263619.62 0.0031 0.00052

J,C 2838.36 2823.57 14.79 263619.62 0.0051 0.00034

qC = -0.0118

∑QC = 0.0000 0.00137 0.0256061


DD,C 2829.62 2823.57 6.05 263619.62 -0.0031 0.00052 0.0127513 2829.637

E,D 2831.10 2829.62 1.48 64942.06 0.0031 0.00211

M,D 2836.68 2829.62 7.05 32471.03 0.0105 0.00149

qD = -0.0105

∑QD = 0.0000 0.00411 0.0127513


EA,E 2833.47 2831.10 2.37 8113.42 0.0123 0.00521 0.01604 2831.119

E,D 2831.10 2829.62 1.48 64942.06 -0.0031 0.00211

qE = -0.0092

∑QE = 0.0001 0.00731 0.01604


FB,F 2830.70 2828.50 2.20 7211.93 0.0126 0.00574 0.014471 2828.517

F,G 2828.50 2825.30 3.20 64942.06 -0.0047 0.00148

qF = -0.0079

∑QF = 0.0001 0.00722 0.014471


GF,G 2828.50 2825.30 3.20 64942.06 0.0047 0.00148 0.031633 2825.331

H,G 2832.53 2825.30 7.23 58447.86 0.0078 0.00107

qG = -0.0124

∑QG = 0.0000 0.00255 0.031633


HH,G 2832.53 2825.30 7.23 58447.86 -0.0078 0.00107 0.031410 2832.560

J,H 2838.36 2832.53 5.83 9014.92 0.0190 0.00325

qH = -0.0111

∑QH = 0.0001 0.00433 0.031410


JK,J 2842.17 2838.36 3.80 1998.72 0.0340 0.00893 0.015544 2838.378

J,H 2838.36 2832.53 5.83 9014.92 -0.0190 0.00325

J,C 2838.36 2823.57 14.79 263619.62 -0.0051 0.00034

qJ= -0.0098

∑QJ= 0.0001 0.01252 0.015544


KT2,K 2845.00 2842.17 2.83 369.94 0.0720 0.02542 0.015754 2842.183

K,J 2842.17 2838.36 3.80 1998.72 -0.0340 0.00893

K,N 2842.17 2840.58 1.59 1110.40 -0.0291 0.01833

qK = -0.0085

∑QK= 0.0004 0.05269 0.015754


MN,M 2840.58 2836.68 3.90 6761.19 0.0178 0.00457 0.031860 2836.710

M,D 2836.68 2829.62 7.05 32471.03 -0.0105 0.00149

qM = -0.0072

∑QM = 0.0001 0.00606 0.031860


NK,N 2842.17 2840.58 1.59 1110.40 0.0291 0.01833 0.011014 2840.590

N,M 2840.58 2836.68 3.90 6761.19 -0.0178 0.00457

qN = -0.0111

∑QN = 0.0001 0.02290 0.011014

21 .- ITERACION




AT1,A 2835.00 2833.48 1.52 277.45 0.0602 0.03949 0.004671 2833.480

A,B 2833.48 2830.72 2.75 1887.68 -0.0294 0.01068

A,E 2833.48 2831.12 2.36 8113.42 -0.0123 0.00522

qA = -0.0183

∑QA = 0.0001 0.05540 0.004671


BA,B 2833.475 2830.72 2.75 1887.68 0.0294 0.01068 0.007350 2830.728

B,C 2830.72 2823.60 7.12 237257.66 -0.0036 0.00051

B,F 2830.72 2828.52 2.20 7211.93 -0.0126 0.00574

qB = -0.0131

∑QB = 0.0001 0.01693 0.007350


CB,C 2830.72 2823.60 7.12 237257.66 0.0036 0.00051 0.0147976 2823.613

D,C 2829.64 2823.60 6.04 263619.62 0.0031 0.00052

J,C 2838.38 2823.60 14.78 263619.62 0.0051 0.00034

qC = -0.0118

∑QC = 0.0000 0.00137 0.0147976


DD,C 2829.64 2823.60 6.04 263619.62 -0.0031 0.00052 0.0229951 2829.660

E,D 2831.12 2829.64 1.48 64942.06 0.0031 0.00210

M,D 2836.71 2829.64 7.07 32471.03 0.0105 0.00149

qD = -0.0105

∑QD = 0.0001 0.00411 0.0229951


EA,E 2833.48 2831.12 2.36 8113.42 0.0123 0.00522 0.00555 2831.124

E,D 2831.12 2829.64 1.48 64942.06 -0.0031 0.00210

qE = -0.0092

∑QE = 0.0000 0.00733 0.00555


FB,F 2830.72 2828.52 2.20 7211.93 0.0126 0.00574 0.019526 2828.537

F,G 2828.52 2825.33 3.19 64942.06 -0.0047 0.00148

qF = -0.0079

∑QF = 0.0001 0.00722 0.019526


GF,G 2828.52 2825.33 3.19 64942.06 0.0047 0.00148 0.021564 2825.352

H,G 2832.56 2825.33 7.23 58447.86 0.0078 0.00107

qG = -0.0124

∑QG = 0.0000 0.00255 0.021564


HH,G 2832.56 2825.33 7.23 58447.86 -0.0078 0.00107 0.019512 2832.579

J,H 2838.38 2832.56 5.82 9014.92 0.0189 0.00326

qH = -0.0111

∑QH = 0.0000 0.00433 0.019512


JK,J 2842.18 2838.38 3.80 1998.72 0.0340 0.00893 0.020085 2838.398

J,H 2838.38 2832.56 5.82 9014.92 -0.0189 0.00326

J,C 2838.38 2823.60 14.78 263619.62 -0.0051 0.00034

qJ= -0.0098

∑QJ= 0.0001 0.01253 0.020085


KT2,K 2845.00 2842.18 2.82 369.94 0.0718 0.02549 0.006453 2842.189

K,J 2842.18 2838.38 3.80 1998.72 -0.0340 0.00893

K,N 2842.18 2840.59 1.59 1110.40 -0.0291 0.01831

qK = -0.0085

∑QK= 0.0002 0.05273 0.006453


MN,M 2840.59 2836.71 3.88 6761.19 0.0178 0.00458 0.011407 2836.721

M,D 2836.71 2829.64 7.07 32471.03 -0.0105 0.00149

qM = -0.0072

∑QM = 0.0000 0.00607 0.011407


NK,N 2842.18 2840.59 1.59 1110.40 0.0291 0.01831 0.018982 2840.609

N,M 2840.59 2836.71 3.88 6761.19 -0.0178 0.00458

qN = -0.0111

∑QN = 0.0002 0.02289 0.018982

22 .- ITERACION




AT1,A 2835.00 2833.48 1.52 277.45 0.0601 0.03955 0.001937 2833.482

A,B 2833.48 2830.73 2.75 1887.68 -0.0294 0.01069

A,E 2833.48 2831.12 2.36 8113.42 -0.0123 0.00522

qA = -0.0183

∑QA = 0.0001 0.05546 0.001937


BA,B 2833.480 2830.73 2.75 1887.68 0.0294 0.01069 0.010005 2830.738

B,C 2830.73 2823.61 7.11 237257.66 -0.0036 0.00051

B,F 2830.73 2828.54 2.19 7211.93 -0.0126 0.00576

qB = -0.0131

∑QB = 0.0001 0.01695 0.010005


CB,C 2830.73 2823.61 7.11 237257.66 0.0036 0.00051 0.0164594 2823.629

D,C 2829.66 2823.61 6.05 263619.62 0.0031 0.00052

J,C 2838.40 2823.61 14.79 263619.62 0.0051 0.00034

qC = -0.0118

∑QC = 0.0000 0.00137 0.0164594


DD,C 2829.66 2823.61 6.05 263619.62 -0.0031 0.00052 0.0087873 2829.669

E,D 2831.12 2829.66 1.46 64942.06 0.0031 0.00211

M,D 2836.72 2829.66 7.06 32471.03 0.0105 0.00149

qD = -0.0105

∑QD = 0.0000 0.00412 0.0087873


EA,E 2833.48 2831.12 2.36 8113.42 0.0123 0.00522 0.00993 2831.134

E,D 2831.12 2829.66 1.46 64942.06 -0.0031 0.00211

qE = -0.0092

∑QE = 0.0000 0.00734 0.00993


FB,F 2830.73 2828.54 2.19 7211.93 0.0126 0.00576 0.010228 2828.547

F,G 2828.54 2825.35 3.18 64942.06 -0.0047 0.00148

qF = -0.0079

∑QF = 0.0000 0.00724 0.010228


GF,G 2828.54 2825.35 3.18 64942.06 0.0047 0.00148 0.019515 2825.372

H,G 2832.58 2825.35 7.23 58447.86 0.0078 0.00107

qG = -0.0124

∑QG = 0.0000 0.00255 0.019515


HH,G 2832.58 2825.35 7.23 58447.86 -0.0078 0.00107 0.020452 2832.600

J,H 2838.40 2832.58 5.82 9014.92 0.0189 0.00326

qH = -0.0111

∑QH = 0.0000 0.00433 0.020452


JK,J 2842.19 2838.40 3.79 1998.72 0.0339 0.00894 0.010056 2838.408

J,H 2838.40 2832.58 5.82 9014.92 -0.0189 0.00326

J,C 2838.40 2823.61 14.79 263619.62 -0.0051 0.00034

qJ= -0.0098

∑QJ= 0.0001 0.01254 0.010056


KT2,K 2845.00 2842.19 2.81 369.94 0.0717 0.02552 0.009980 2842.199

K,J 2842.19 2838.40 3.79 1998.72 -0.0339 0.00894

K,N 2842.19 2840.61 1.58 1110.40 -0.0290 0.01838

qK = -0.0085

∑QK= 0.0003 0.05284 0.009980


MN,M 2840.61 2836.72 3.89 6761.19 0.0178 0.00458 0.019975 2836.741

M,D 2836.72 2829.66 7.06 32471.03 -0.0105 0.00149

qM = -0.0072

∑QM = 0.0001 0.00607 0.019975


NK,N 2842.19 2840.61 1.58 1110.40 0.0290 0.01838 0.007407 2840.617

N,M 2840.61 2836.72 3.89 6761.19 -0.0178 0.00458

qN = -0.0111

∑QN = 0.0001 0.02295 0.007407

23 .- ITERACION




AT1,A 2835.00 2833.48 1.52 277.45 0.0601 0.03957 0.002862 2833.485

A,B 2833.48 2830.74 2.74 1887.68 -0.0294 0.01070

A,E 2833.48 2831.13 2.35 8113.42 -0.0123 0.00523

qA = -0.0183

∑QA = 0.0001 0.05550 0.002862


BA,B 2833.482 2830.74 2.74 1887.68 0.0294 0.01070 0.005179 2830.743

B,C 2830.74 2823.63 7.11 237257.66 -0.0036 0.00051

B,F 2830.74 2828.55 2.19 7211.93 -0.0126 0.00576

qB = -0.0131

∑QB = 0.0000 0.01697 0.005179


CB,C 2830.74 2823.63 7.11 237257.66 0.0036 0.00051 0.0095517 2823.639

D,C 2829.67 2823.63 6.04 263619.62 0.0031 0.00052

J,C 2838.41 2823.63 14.78 263619.62 0.0051 0.00034

qC = -0.0118

∑QC = 0.0000 0.00137 0.0095517


DD,C 2829.67 2823.63 6.04 263619.62 -0.0031 0.00052 0.0143847 2829.683

E,D 2831.13 2829.67 1.47 64942.06 0.0031 0.00211

M,D 2836.74 2829.67 7.07 32471.03 0.0105 0.00149

qD = -0.0105

∑QD = 0.0000 0.00412 0.0143847


EA,E 2833.48 2831.13 2.35 8113.42 0.0123 0.00523 0.00390 2831.138

E,D 2831.13 2829.67 1.47 64942.06 -0.0031 0.00211

qE = -0.0092

∑QE = 0.0000 0.00735 0.00390


FB,F 2830.74 2828.55 2.19 7211.93 0.0126 0.00576 0.011947 2828.559

F,G 2828.55 2825.37 3.18 64942.06 -0.0047 0.00148

qF = -0.0079

∑QF = 0.0000 0.00724 0.011947


GF,G 2828.55 2825.37 3.18 64942.06 0.0047 0.00148 0.014514 2825.386

H,G 2832.60 2825.37 7.23 58447.86 0.0078 0.00107

qG = -0.0124

∑QG = 0.0000 0.00256 0.014514


HH,G 2832.60 2825.37 7.23 58447.86 -0.0078 0.00107 0.012392 2832.612

J,H 2838.41 2832.60 5.81 9014.92 0.0189 0.00326

qH = -0.0111

∑QH = 0.0000 0.00433 0.012392


JK,J 2842.20 2838.41 3.79 1998.72 0.0339 0.00894 0.012874 2838.421

J,H 2838.41 2832.60 5.81 9014.92 -0.0189 0.00326

J,C 2838.41 2823.63 14.78 263619.62 -0.0051 0.00034

qJ= -0.0098

∑QJ= 0.0001 0.01254 0.012874


KT2,K 2845.00 2842.20 2.80 369.94 0.0716 0.02556 0.004272 2842.203

K,J 2842.20 2838.41 3.79 1998.72 -0.0339 0.00894

K,N 2842.20 2840.62 1.58 1110.40 -0.0291 0.01836

qK = -0.0085

∑QK= 0.0001 0.05286 0.004272


MN,M 2840.62 2836.74 3.88 6761.19 0.0178 0.00458 0.007733 2836.749

M,D 2836.74 2829.67 7.07 32471.03 -0.0105 0.00149

qM = -0.0072

∑QM = 0.0000 0.00607 0.007733


NK,N 2842.20 2840.62 1.58 1110.40 0.0291 0.01836 0.011978 2840.629

N,M 2840.62 2836.74 3.88 6761.19 -0.0178 0.00458

qN = -0.0111

∑QN = 0.0001 0.02295 0.011978

24 .- ITERACION




AT1,A 2835.00 2833.48 1.52 277.45 0.0600 0.03960 0.001365 2833.486

A,B 2833.48 2830.74 2.74 1887.68 -0.0294 0.01071

A,E 2833.48 2831.14 2.35 8113.42 -0.0123 0.00523

qA = -0.0183

∑QA = 0.0000 0.05554 0.001365


BA,B 2833.485 2830.74 2.74 1887.68 0.0294 0.01071 0.006142 2830.749

B,C 2830.74 2823.64 7.10 237257.66 -0.0036 0.00051

B,F 2830.74 2828.56 2.18 7211.93 -0.0126 0.00576

qB = -0.0131

∑QB = 0.0001 0.01698 0.006142


CB,C 2830.74 2823.64 7.10 237257.66 0.0036 0.00051 0.0105877 2823.649

D,C 2829.68 2823.64 6.04 263619.62 0.0031 0.00052

J,C 2838.42 2823.64 14.78 263619.62 0.0051 0.00034

qC = -0.0118

∑QC = 0.0000 0.00137 0.0105877


DD,C 2829.68 2823.64 6.04 263619.62 -0.0031 0.00052 0.0059761 2829.689

E,D 2831.14 2829.68 1.46 64942.06 0.0031 0.00212

M,D 2836.75 2829.68 7.07 32471.03 0.0105 0.00149

qD = -0.0105

∑QD = 0.0000 0.00413 0.0059761


EA,E 2833.48 2831.14 2.35 8113.42 0.0123 0.00523 0.00618 2831.144

E,D 2831.14 2829.68 1.46 64942.06 -0.0031 0.00212

qE = -0.0092

∑QE = 0.0000 0.00735 0.00618


FB,F 2830.74 2828.56 2.18 7211.93 0.0126 0.00576 0.007077 2828.566

F,G 2828.56 2825.39 3.17 64942.06 -0.0047 0.00148

qF = -0.0079

∑QF = 0.0000 0.00725 0.007077


GF,G 2828.56 2825.39 3.17 64942.06 0.0047 0.00148 0.012130 2825.398

H,G 2832.61 2825.39 7.23 58447.86 0.0078 0.00107

qG = -0.0124

∑QG = 0.0000 0.00256 0.012130


HH,G 2832.61 2825.39 7.23 58447.86 -0.0078 0.00107 0.013280 2832.625

J,H 2838.42 2832.61 5.81 9014.92 0.0189 0.00326

qH = -0.0111

∑QH = 0.0000 0.00433 0.013280


JK,J 2842.20 2838.42 3.78 1998.72 0.0339 0.00895 0.006517 2838.428

J,H 2838.42 2832.61 5.81 9014.92 -0.0189 0.00326

J,C 2838.42 2823.64 14.78 263619.62 -0.0051 0.00034

qJ= -0.0098

∑QJ= 0.0000 0.01255 0.006517


KT2,K 2845.00 2842.20 2.80 369.94 0.0715 0.02558 0.006333 2842.210

K,J 2842.20 2838.42 3.78 1998.72 -0.0339 0.00895

K,N 2842.20 2840.63 1.57 1110.40 -0.0290 0.01840

qK = -0.0085

∑QK= 0.0002 0.05293 0.006333


MN,M 2840.63 2836.75 3.88 6761.19 0.0178 0.00458 0.012571 2836.762

M,D 2836.75 2829.68 7.07 32471.03 -0.0105 0.00149

qM = -0.0072

∑QM = 0.0000 0.00607 0.012571


NK,N 2842.20 2840.63 1.57 1110.40 0.0290 0.01840 0.004949 2840.634

N,M 2840.63 2836.75 3.88 6761.19 -0.0178 0.00458

qN = -0.0111

∑QN = 0.0001 0.02298 0.004949

25 .- ITERACION




AT1,A 2835.00 2833.49 1.51 277.45 0.0600 0.03962 0.001765 2833.488

A,B 2833.49 2830.75 2.74 1887.68 -0.0293 0.01071

A,E 2833.49 2831.14 2.34 8113.42 -0.0123 0.00524

qA = -0.0183

∑QA = 0.0001 0.05557 0.001765


BA,B 2833.486 2830.75 2.74 1887.68 0.0293 0.01071 0.003577 2830.752

B,C 2830.75 2823.65 7.10 237257.66 -0.0036 0.00051

B,F 2830.75 2828.57 2.18 7211.93 -0.0126 0.00577

qB = -0.0131

∑QB = 0.0000 0.01699 0.003577


CB,C 2830.75 2823.65 7.10 237257.66 0.0036 0.00051 0.0061709 2823.656

D,C 2829.69 2823.65 6.04 263619.62 0.0031 0.00052

J,C 2838.43 2823.65 14.78 263619.62 0.0051 0.00034

qC = -0.0118

∑QC = 0.0000 0.00137 0.0061709


DD,C 2829.69 2823.65 6.04 263619.62 -0.0031 0.00052 0.0090383 2829.698

E,D 2831.14 2829.69 1.46 64942.06 0.0031 0.00212

M,D 2836.76 2829.69 7.07 32471.03 0.0105 0.00149

qD = -0.0105

∑QD = 0.0000 0.00413 0.0090383


EA,E 2833.49 2831.14 2.34 8113.42 0.0123 0.00524 0.00269 2831.147

E,D 2831.14 2829.69 1.46 64942.06 -0.0031 0.00212

qE = -0.0092

∑QE = 0.0000 0.00736 0.00269


FB,F 2830.75 2828.57 2.18 7211.93 0.0126 0.00577 0.007364 2828.573

F,G 2828.57 2825.40 3.17 64942.06 -0.0047 0.00148

qF = -0.0079

∑QF = 0.0000 0.00725 0.007364


GF,G 2828.57 2825.40 3.17 64942.06 0.0047 0.00148 0.009679 2825.408

H,G 2832.63 2825.40 7.23 58447.86 0.0078 0.00107

qG = -0.0124

∑QG = 0.0000 0.00256 0.009679


HH,G 2832.63 2825.40 7.23 58447.86 -0.0078 0.00107 0.007905 2832.633

J,H 2838.43 2832.63 5.80 9014.92 0.0189 0.00326

qH = -0.0111

∑QH = 0.0000 0.00433 0.007905


JK,J 2842.21 2838.43 3.78 1998.72 0.0339 0.00895 0.008252 2838.436

J,H 2838.43 2832.63 5.80 9014.92 -0.0189 0.00326

J,C 2838.43 2823.65 14.78 263619.62 -0.0051 0.00034

qJ= -0.0098

∑QJ= 0.0001 0.01256 0.008252


KT2,K 2845.00 2842.21 2.79 369.94 0.0714 0.02560 0.002820 2842.212

K,J 2842.21 2838.43 3.78 1998.72 -0.0339 0.00895

K,N 2842.21 2840.63 1.58 1110.40 -0.0290 0.01840

qK = -0.0085

∑QK= 0.0001 0.05295 0.002820


MN,M 2840.63 2836.76 3.87 6761.19 0.0178 0.00459 0.005196 2836.767

M,D 2836.76 2829.69 7.07 32471.03 -0.0105 0.00149

qM = -0.0072

∑QM = 0.0000 0.00608 0.005196


NK,N 2842.21 2840.63 1.58 1110.40 0.0290 0.01840 0.007578 2840.641

N,M 2840.63 2836.76 3.87 6761.19 -0.0178 0.00459

qN = -0.0111

∑QN = 0.0001 0.02298 0.007578

PRESIONES EN LOS NODOS

Nodo H▼ ▼Tub PresT1 2835.00A 2833.49 2810 23.49B 2830.75 2815 15.75C 2823.66 2801 22.66 DATOS

D 2829.70 2802 27.70 Nº Lista L T A B C D E F G H J K M N

E 2831.15 2795 36.15 13 880 2835 2810 2815 2801 2802 2795 2790 2785 2797 2800 2805 2814 2810

F 2828.57 2790 38.57G 2825.41 2785 40.41H 2832.63 2797 35.63J 2838.44 2800 38.44K 2842.21 2805 37.21M 2836.77 2814 22.77N 2840.64 2810 30.64T2 2845.00

Tramo Nº Qtram (q/l) diam vel

T1-A 0 67.331 0.300 0.953

A-E 1 17.459 0.150 0.988

A-B 2 31.532 0.200 1.004

B-F 3 13.716 0.150 0.776

B-C 4 4.716 0.075 1.067

E-D 5 8.289 0.100 1.055

D-C 6 4.716 0.075 1.067

F-G 7 5.856 0.100 0.746

C-J 8 2.358 0.075 0.534

D-M 9 6.907 0.100 0.879

M-N 10 14.112 0.150 0.799

K-N 11 25.247 0.200 0.804

J-K 12 29.907 0.200 0.952

J-H 13 17.724 0.150 1.003

G-H 14 6.589 0.100 0.839

T2-K 15 63.669 0.300 0.901

▼ Agua en el tanque

0

L= 792

Q= 67.331

D= 0.29279

1

Q= 17.459 A 2L= 792 Q= 31.53

L= 748

9.17 E 18.34

B

5 Anillo I

Q= 8.289

L= 792 Q=

L=

6

D Q= 4.716

L= 880

10.48 C 11.79

9

Q= 6.907 8

L= 660 Q= 2.358

L= 440

Anillo III 9.83

M

J

7.21 12

Q= 29.907 Q=

10 L= 440 L=

Q= 14.112

L= 792

N

T1

K11

Q= 25.25 8.52

11.135 L= 748.0

15

L= 1056

Q= 63.669

D= 0.28472

T1T2

0

1

7

1

6

0

1

8

1

7

0

1

9

1

1

8

1

5

0

1

5

1

4

1

3

0

1

4

1

2

0

11

1

0

6

1

3

1

1

1

0

2

2

Gq

n

K

GHFHn

K

GHAH GF

Fq

n

KFHEH

n

K

GHFH FF

Eq

n

KE

HT

H

n

KFHEH

n

KDHEH

EF

Dq

n

KD

HE

Hn

K

CHDHn

K

DHAH DF

Cq

n

K

CHDH

n

K

CHBH CF

Bq

n

K

CHBHn

K

BHAH BF

Aq

KG

HA

H

n

K

DHAH

n

K

BHAHn

K

AHT

H

AF

ECUACIONES DE CAUDAL (NODO)

Tramo 0 1 2 3 4 5 6 7 8

QoF1= - Q1 - Q2

F2= + Q2 - Q3

F3= Q3 - Q5 - Q7

F4= Q5 Q6 - Q8

F5= Q1 - Q4

F6= Q4 - Q6

F7=

F8=

F9= +Q8

F10= + Q7

F11=

F12=

METODO GRADIENTE HIDRAULICO(NEWTON RAPSON)

Tramo Nº

T1-A 0

A-E 1

A-B 2

B-F 3

B-C 4

13.10 3 E-D 5

Q= 13.72 D-C 6

L= 880 7.86 F-G 7

C-J 8

F D-M 9

M-N 10

4 K-N 11

4.716 J-K 12

880 7 J-H 13

Q= 5.86 G-H 14

L= 704 T2-K 15

Anillo II

G

12.45

14

Q= 6.59

H L= 792

13

17.724

880 11.14

131.000

0

1

7

1

6

0

1

8

1

7

0

1

9

1

1

8

1

5

0

1

5

1

4

1

3

0

1

4

1

2

0

11

1

0

6

1

3

1

1

1

0

2

2

Gq

n

K

GHFHn

K

GHAH GF

Fq

n

KFHEH

n

K

GHFH FF

Eq

n

KE

HT

H

n

KFHEH

n

KDHEH

EF

Dq

n

KD

HE

Hn

K

CHDHn

K

DHAH DF

Cq

n

K

CHDH

n

K

CHBH CF

Bq

n

K

CHBHn

K

BHAH BF

Aq

KG

HA

H

n

K

DHAH

n

K

BHAHn

K

AHT

H

AF

9 10 11 12 13 14 15 qn

- qA =

- qB =

- qC =

- qD =

- qE =

- qF =

- qG =

- qH =

- qJ =

- qK =

- qM =

- qN =

ΣQ,A

ΣQ,B

ΣQ,C

ΣQ,D

ΣQ,E

- Q9 ΣQ,F

+ Q9 - Q10 ΣQ,G

+ Q10 +Q11 - Q14 ΣQ,H

-Q11 +Q12 ΣQ,J

-Q12 -Q13 ΣQ,K

Q13 ΣQ,M

ΣQ,N

METODO GRADIENTE HIDRAULICO(NEWTON RAPSON)

Qtram D Dc V L C K hf

67.331 0.293 0.300 0.953 792.000 150 277 1.875 0

17.459 0.149 0.150 0.988 792.000 150 8113 4.502 1

31.532 0.200 0.200 1.004 748.000 150 1888 3.131 2

13.716 0.132 0.150 0.776 704.000 150 7212 2.560 3

4.716 0.077 0.075 1.067 792.000 150 237258 11.659 4

8.289 0.103 0.100 1.055 880.000 150 64942 9.069 5

4.716 0.077 0.075 1.067 880.000 150 263620 12.955 6

5.856 0.086 0.100 0.746 880.000 150 64942 4.766 7

2.358 0.055 0.075 0.534 880.000 150 263620 3.589 8

6.907 0.094 0.100 0.879 440.000 150 32471 3.235 9

14.112 0.134 0.150 0.799 660.000 150 6761 2.530 10

25.247 0.179 0.200 0.804 440.000 150 1110 1.220 11

29.907 0.195 0.200 0.952 792.000 150 1999 3.005 12

17.724 0.150 0.150 1.003 880.000 150 9015 5.144 13

6.589 0.092 0.100 0.839 792.000 150 58448 5.335 14

63.669 0.285 0.300 0.901 1056.000 150 370 2.254 15

87,4852,1

67,10

DC

LK

DATOS Y COEFICIENTES DE TRAMO

Tramo 0 1 2Q 0.067 0.017 0.032L 792.0 792.0 748.0C 150 150 150D 0.300 0.150 0.200K 277 8113.424 1887.682

ITERACION Nº 1

COTAS PIEZOMETRICAS ADOPTADAS

Nodo T1 A B

Hº 2835 2830 2826

CAUDALES DE TRAMO

Tramo 0 1 2Kij = 277.452 8113.424 1887.682Qij = 0.114 0.018 0.036

0.1143 -0.0185 -0.0360

0.0360

0.0185

Fi = FUNCIONES O ECUACIONES DE CAUDAL

ΣQA F1=

ΣQB F2=

ΣQC F3=

ΣQD F4=

ΣQE F5=

ΣQF F6=

ΣQG F7=

ΣQH F8=

ΣQJ F9=

ΣQK F10=

ΣQM F11=

ΣQN F12=1

1

1

n

ij

ji

ijij

ij

K

HH

nKH

F

n

ij

jiij K

HHQ

1

Tramo 0 1 2

0.012347715 0.001995268 0.004858758

0.004858758

0.001995268

Matriz Jacobiana [D]

A B C

A -0.0192 0.004858758 0B 0.004858758 -0.0072 0.000246025C 0 0.000246025 -0.0008D 0 0 0.000385273E 0.001995268 0 0F 0 0.002126285 0G 0 0 0H 0 0 0J 0 0 0.000178368K 0 0 0M 0 0 0N 0 0 0

Σ∂F/∂H, DERIVADAS DE LAS FUNCIONES Fi

∂F1=

∂F2=

∂F3=

∂F4=

∂F5=

∂F6=

∂F7=

∂F8=

∂F9=

∂F10=∂F11=∂F12=

SISTEMA MATRICIAL: [D].[∆H] = [Sq]

OPERACIONES MATRICIALES: [D]-1.[Sq] = [∆H]

11

1

n

ij

ji

ijij

ij

K

HH

nKH

F

#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!

#VALUE! #VALUE! #VALUE!





#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!

CORRECCION O COMPENSACION DE COTAS PIEZOMETRICAS

Nodo T1 A BHº 2835.00 2830.00 2826.00

∆H -4.398 -5.794

H' 2835.00 2834.40 2831.79

ITERACION Nº 2


Nodo T1 A B

Hº 2835.000 2834.398 2831.794

CAUDALES DE TRAMO

Tramo 0 1 2Kij = 277.452 8113.424 1887.682Qij = 0.036 0.011 0.029

0.0364 -0.0112 -0.0286

0.0286


ΣQA F1=

ΣQB F2=

ΣQC F3=

0.0112

Tramo 0 1 2

0.032711731 0.003046776 0.005918966

0.005918966

0.003046776


A B C

A -0.0417 0.005918966 0B 0.005918966 -0.0097 0.000287361C 0 0.000287361 -0.0008D 0 0 0.000275864

ΣQD F4=

ΣQE F5=

ΣQF F6=

ΣQG F7=

ΣQH F8=

ΣQJ F9=

ΣQK F10=

ΣQM F11=

ΣQN F12=


∂F1=

∂F2=

∂F3=

∂F4=

∂F5=

∂F6=

∂F7=

∂F8=

∂F9=

∂F10=

∂F11=

∂F12=


E 0.003046776 0 0F 0 0.003504138 0G 0 0 0H 0 0 0J 0 0 0.000188937K 0 0 0M 0 0 0N 0 0 0

#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!


Nodo T1 A BHº 2835.00 2834.40 2831.79∆H 0.716 0.840H' 2835.00 2833.68 2830.95

ITERACION Nº 3


Nodo T1 A B

Hº 2835.000 2833.682 2830.954

CAUDALES DE TRAMO


Tramo 0 1 2Kij = 277.452 8113.424 1887.682Qij = 0.056 0.012 0.029

0.0557 -0.0122 -0.0293

0.0293

0.0122

Tramo 0 1 2

0.022802828 0.002837709 0.005794517

0.005794517

0.002837709


ΣQA F1=

ΣQB F2=

ΣQC F3=

ΣQD F4=

ΣQE F5=

ΣQF F6=

ΣQG F7=

ΣQH F8=

ΣQJ F9=

ΣQK F10=

ΣQM F11=

ΣQN F12=


∂F1=

∂F2=

∂F3=

∂F4=

∂F5=

∂F6=

∂F7=

∂F8=

∂F9=

∂F10=

∂F11=

∂F12=


A B C

A -0.0314 0.005794517 0B 0.005794517 -0.0092 0.000274876C 0 0.000274876 -0.0007D 0 0 0.000277967E 0.002837709 0 0F 0 0.00313473 0G 0 0 0H 0 0 0J 0 0 0.000185602K 0 0 0M 0 0 0N 0 0 0



Nodo T1 A B



Hº 2835.00 2833.68 2830.95∆H 0.183 0.179H' 2835.00 2833.50 2830.78

ITERACION Nº 4


Nodo T1 A B

Hº 2835.000 2833.499 2830.775

CAUDALES DE TRAMO

Tramo 0 1 2Kij = 277.452 8113.424 1887.682Qij = 0.060 0.012 0.029

0.0597 -0.0122 -0.0292

0.0292

0.0122

Tramo 0 1 2

0.021479893 0.002834509 0.005798189

0.005798189


ΣQA F1=

ΣQB F2=

ΣQC F3=

ΣQD F4=

ΣQE F5=

ΣQF F6=

ΣQG F7=

ΣQH F8=

ΣQJ F9=

ΣQK F10=

ΣQM F11=

ΣQN F12=


∂F1=

∂F2=

∂F3=

0.002834509


A B C

A -0.0301 0.005798189 0B 0.005798189 -0.0092 0.000274653C 0 0.000274653 -0.0007D 0 0 0.000279214E 0.002834509 0 0F 0 0.003121625 0G 0 0 0H 0 0 0J 0 0 0.000185035K 0 0 0M 0 0 0N 0 0 0

#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!

∂F4=

∂F5=

∂F6=

∂F7=

∂F8=

∂F9=

∂F10=

∂F11=

∂F12=



#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!


Nodo T1 A BHº 2835.00 2833.50 2830.78∆H 0.006 0.005H' 2835.00 2833.49 2830.77

ITERACION Nº 5


Nodo T1 A B

Hº 2835.000 2833.494 2830.770

CAUDALES DE TRAMO

Tramo 0 1 2Kij = 277.452 8113.424 1887.682Qij = 0.060 0.012 0.029

0.0598 -0.0122 -0.0292

0.0292

0.0122


ΣQA F1=

ΣQB F2=

ΣQC F3=

ΣQD F4=

ΣQE F5=

ΣQF F6=

ΣQG F7=

ΣQH F8=

ΣQJ F9=

ΣQK F10=

Tramo 0 1 2

0.021442382 0.002834635 0.005798426

0.005798426

0.002834635


A B C

A -0.0301 0.005798426 0B 0.005798426 -0.0092 0.00027467C 0 0.00027467 -0.0007D 0 0 0.000279236E 0.002834635 0 0F 0 0.00312184 0G 0 0 0H 0 0 0J 0 0 0.000185016K 0 0 0M 0 0 0N 0 0 0

ΣQM F11=

ΣQN F12=


∂F1=

∂F2=

∂F3=

∂F4=

∂F5=

∂F6=

∂F7=

∂F8=

∂F9=

∂F10=

∂F11=

∂F12=




Nodo T1 A BHº 2835.00 2833.49 2830.77∆H 0.000 0.000H' 2835.00 2833.49 2830.77

ITERACION Nº 6


Nodo T1 A B

Hº 2835.000 2833.494 2830.770

CAUDALES DE TRAMO

Tramo 0 1 2Kij = 277.452 8113.424 1887.682Qij = 0.060 0.012 0.029

0.0598 -0.0122 -0.0292



ΣQA F1=

0.0292

0.0122

Tramo 0 1 2

0.02144235 0.002834635 0.005798426

0.005798426

0.002834635


A B C

A -0.0301 0.005798426 0B 0.005798426 -0.0092 0.00027467

ΣQB F2=

ΣQC F3=

ΣQD F4=

ΣQE F5=

ΣQF F6=

ΣQG F7=

ΣQH F8=

ΣQJ F9=

ΣQK F10=

ΣQM F11=

ΣQN F12=


∂F1=

∂F2=

∂F3=

∂F4=

∂F5=

∂F6=

∂F7=

∂F8=

∂F9=

∂F10=

∂F11=

∂F12=


C 0 0.00027467 -0.0007D 0 0 0.000279236E 0.002834635 0 0F 0 0.00312184 0G 0 0 0H 0 0 0J 0 0 0.000185016K 0 0 0M 0 0 0N 0 0 0



Nodo T1 A BHº 2835.00 2833.49 2830.77∆H 0.000 0.000H' 2835.00 2833.49 2830.77

ITERACION Nº 7


Nodo T1 A B

Hº 2835.000 2833.494 2830.770


CAUDALES DE TRAMO

Tramo 0 1 2Kij = 277.452 8113.424 1887.682Qij = 0.060 0.012 0.029

0.0598 -0.0122 -0.0292

0.0292

0.0122

Tramo 0 1 2

0.02144235 0.002834635 0.005798426

0.005798426

0.002834635


ΣQA F1=

ΣQB F2=

ΣQC F3=

ΣQD F4=

ΣQE F5=

ΣQF F6=

ΣQG F7=

ΣQH F8=

ΣQJ F9=

ΣQK F10=

ΣQM F11=

ΣQN F12=


∂F1=

∂F2=

∂F3=

∂F4=

∂F5=

∂F6=

∂F7=

∂F8=

∂F9=

∂F10=

∂F11=


A B C

A -0.0301 0.005798426 0B 0.005798426 -0.0092 0.00027467C 0 0.00027467 -0.0007D 0 0 0.000279236E 0.002834635 0 0F 0 0.00312184 0G 0 0 0H 0 0 0J 0 0 0.000185016K 0 0 0M 0 0 0N 0 0 0



∂F12=



Nodo T1 A BHº 2835.00 2833.49 2830.77∆H 0.000 0.000H' 2835.00 2833.49 2830.77

ITERACION Nº 8


Nodo T1 A B

Hº 2835.000 2833.494 2830.770

CAUDALES DE TRAMO

Tramo 0 1 2Kij = 277.452 8113.424 1887.682Qij = 0.060 0.012 0.029

0.0598 -0.0122 -0.0292

0.0292

0.0122

Tramo 0 1 2

0.02144235 0.002834635 0.005798426

0.005798426


ΣQA F1=

ΣQB F2=

ΣQC F3=

ΣQD F4=

ΣQE F5=

ΣQF F6=

ΣQG F7=

ΣQH F8=

ΣQJ F9=

ΣQK F10=

ΣQM F11=

ΣQN F12=


∂F1=

∂F2=

0.002834635


A B C

A -0.0301 0.005798426 0B 0.005798426 -0.0092 0.00027467C 0 0.00027467 -0.0007D 0 0 0.000279236E 0.002834635 0 0F 0 0.00312184 0G 0 0 0H 0 0 0J 0 0 0.000185016K 0 0 0M 0 0 0N 0 0 0

#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!

∂F3=

∂F4=

∂F5=

∂F6=

∂F7=

∂F8=

∂F9=

∂F10=

∂F11=

∂F12=



#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE!


Nodo T1 A BHº 2835.00 2833.49 2830.77∆H 0.000 0.000H' 2835.00 2833.49 2830.77

PRESIONES EN LOS NODOS

Nodo H▼ ▼Tub

T1 2835.00A 2833.49 2810

B 2830.77 2815

C 2823.69 2801

D 2829.73 2802

E 2831.16 2795

F 2828.60 2790

G 2825.45 2785

H 2832.67 2797

J 2838.46 2800

K 2842.23 2805

M 2836.80 2814

N 2840.66 2810

T2 2845.00

Tramo Nº

T1-A 0

A-E 1

A-B 2

B-F 3

B-C 4

E-D 5

D-C 6

F-G 7

C-J 8

D-M 9

M-N 10

K-N 11

J-K 12

J-H 13

G-H 14

T2-K 15

3 4 5 6 7 8 90.014 0.005 0.008 0.005 17.724 0.002 0.007704.0 792.0 880.0 880.0 880.0 880.0 440.0150 150 150 150 150 150 1500.150 0.075 0.100 0.075 0.100 0.075 0.100

7211.932 237257.657 64942.063 263619.618 64942.063 263619.618 32471.031

C D E F G H J

2817 2820 2825 2821 2816 2825 2833

3 4 5 6 7 8 97211.932 237257.657 64942.063 263619.618 64942.063 263619.618 32471.031

0.020 0.004 0.006 0.002 0.006 0.005 0.011

-0.0197 -0.0041

0.0041 0.0021 0.0053

0.0060 -0.0021 0.0113

-0.0060

0.0197 -0.0060

0.0060

-0.005

-0.011

11

1

n

ij

ji

ijij

ij

K

HH

nKH

F

3 4 5 6 7 8 9

0.002126285 0.000246025

0.000246025 0.00038527 0.000178368

0.000649003 0.00038527 0.0007601

0.000649003

0.002126285 0.000649003

0.000649003

0.000178368

0.0007601


D E F G H J K

0 0.001995268 0 0 0 0 00 0 0.002126285 0 0 0 0

0.000385273 0 0 0 0 0.000178368 0-0.0018 0.000649003 0 0 0 0 0

0.000649003 -0.0026 0 0 0 0 00 0 -0.0028 0.000649 0 0 00 0 0.000649003 -0.0012 0.000524224 0 00 0 0 0.00052422 -0.0020 0.001518414 00 0 0 0 0.001518414 -0.0059 0.00425150 0 0 0 0 0.004251467 -0.0191

0.000760126 0 0 0 0 0 00 0 0 0 0 0 0.0058395

[D]-1

11

1

n

ij

ji

ijij

ij

K

HH

nKH

F

nK

Q

H

Q n

1

#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!

#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!





#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!


C D E F G H J2817.00 2820.00 2825.00 2821.00 2816.00 2825.00 2833.00-8.373 -11.574 -7.406 -9.106 -10.990 -8.930 -6.4912825.37 2831.57 2832.41 2830.11 2826.99 2833.93 2839.49

C D E F G H J

2825.373 2831.574 2832.406 2830.106 2826.990 2833.930 2839.491

3 4 5 6 7 8 97211.932 237257.657 64942.063 263619.618 64942.063 263619.618 32471.031

0.011 0.003 0.002 0.003 0.005 0.005 0.011

-0.0110 -0.0034

0.0034 0.0032 0.0049

0.0023 -0.0032 0.0105

-0.0023

0.0110 -0.0047

0.0047

-0.005

-0.011

3 4 5 6 7 8 9

0.003504138 0.000287361

0.000287361 0.00027586 0.000188937

0.001480586 0.00027586 0.000805

0.001480586

0.003504138 0.000806724

0.000806724

0.000188937

0.000805


D E F G H J K

0 0.003046776 0 0 0 0 00 0 0.003504138 0 0 0 0

0.000275864 0 0 0 0 0.000188937 0-0.0026 0.001480586 0 0 0 0 0

0.001480586 -0.0045 0 0 0 0 00 0 -0.0043 0.00080672 0 0 00 0 0.000806724 -0.0014 0.000590805 0 00 0 0 0.00059081 -0.0024 0.001794978 00 0 0 0 0.001794978 -0.0069 0.00492280 0 0 0 0 0.004922756 -0.0361

0.000805025 0 0 0 0 0 00 0 0 0 0 0 0.014551

#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!


C D E F G H J2825.37 2831.57 2832.41 2830.11 2826.99 2833.93 2839.491.490 1.592 1.049 1.302 1.376 1.145 0.9332823.88 2829.98 2831.36 2828.80 2825.61 2832.79 2838.56

C D E F G H J

2823.882 2829.982 2831.357 2828.804 2825.614 2832.785 2838.558

[D]-1

3 4 5 6 7 8 97211.932 237257.657 64942.063 263619.618 64942.063 263619.618 32471.031

0.012 0.004 0.003 0.003 0.005 0.005 0.011

-0.0125 -0.0036

0.0036 0.0031 0.0050

0.0030 -0.0031 0.0105

-0.0030

0.0125 -0.0047

0.0047

-0.005

-0.011

3 4 5 6 7 8 9

0.00313473 0.000274876

0.000274876 0.00027797 0.000185602

0.001175316 0.00027797 0.0008047

0.001175316

0.00313473 0.000798101

0.000798101

0.000185602

0.0008047


D E F G H J K

0 0.002837709 0 0 0 0 00 0 0.00313473 0 0 0 0

0.000277967 0 0 0 0 0.000185602 0-0.0023 0.001175316 0 0 0 0 0

0.001175316 -0.0040 0 0 0 0 00 0 -0.0039 0.0007981 0 0 00 0 0.000798101 -0.0014 0.000581978 0 00 0 0 0.00058198 -0.0023 0.001764412 00 0 0 0 0.001764412 -0.0068 0.00484980 0 0 0 0 0.004849812 -0.0294

0.000804665 0 0 0 0 0 00 0 0 0 0 0 0.0104922



C D E F G H J

[D]-1

2823.88 2829.98 2831.36 2828.80 2825.61 2832.79 2838.560.192 0.251 0.189 0.199 0.163 0.112 0.0942823.69 2829.73 2831.17 2828.61 2825.45 2832.67 2838.46

C D E F G H J

2823.691 2829.731 2831.168 2828.605 2825.451 2832.673 2838.464

3 4 5 6 7 8 97211.932 237257.657 64942.063 263619.618 64942.063 263619.618 32471.031

0.013 0.004 0.003 0.003 0.005 0.005 0.011

-0.0125 -0.0036

0.0036 0.0031 0.0051

0.0031 -0.0031 0.0105

-0.0031

0.0125 -0.0047

0.0047

-0.005

-0.011

3 4 5 6 7 8 9

0.003121625 0.000274653

0.000274653 0.00027921 0.000185035

0.001151673 0.00027921 0.0008044

0.001151673

0.003121625 0.000802241

0.000802241

0.000185035

0.0008044


D E F G H J K

0 0.002834509 0 0 0 0 00 0 0.003121625 0 0 0 0

0.000279214 0 0 0 0 0.000185035 0-0.0022 0.001151673 0 0 0 0 0

0.001151673 -0.0040 0 0 0 0 00 0 -0.0039 0.00080224 0 0 00 0 0.000802241 -0.0014 0.000580076 0 00 0 0 0.00058008 -0.0023 0.001761864 00 0 0 0 0.001761864 -0.0068 0.00484360 0 0 0 0 0.004843647 -0.0287

0.000804445 0 0 0 0 0 00 0 0 0 0 0 0.0099777

#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!

[D]-1

#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!


C D E F G H J2823.69 2829.73 2831.17 2828.61 2825.45 2832.67 2838.460.005 0.006 0.005 0.005 0.004 0.002 0.0012823.69 2829.73 2831.16 2828.60 2825.45 2832.67 2838.46

C D E F G H J

2823.686 2829.725 2831.163 2828.600 2825.447 2832.672 2838.463

3 4 5 6 7 8 97211.932 237257.657 64942.063 263619.618 64942.063 263619.618 32471.031

0.013 0.004 0.003 0.003 0.005 0.005 0.011

-0.0125 -0.0036

0.0036 0.0031 0.0051

0.0031 -0.0031 0.0105

-0.0031

0.0125 -0.0047

0.0047

-0.005

-0.011

3 4 5 6 7 8 9

0.00312184 0.00027467

0.00027467 0.00027924 0.000185016

0.001151643 0.00027924 0.0008044

0.001151643

0.00312184 0.000802396

0.000802396

0.000185016

0.0008044


D E F G H J K

0 0.002834635 0 0 0 0 00 0 0.00312184 0 0 0 0

0.000279236 0 0 0 0 0.000185016 0-0.0022 0.001151643 0 0 0 0 0

0.001151643 -0.0040 0 0 0 0 00 0 -0.0039 0.0008024 0 0 00 0 0.000802396 -0.0014 0.00058 0 00 0 0 0.00058 -0.0023 0.001761772 00 0 0 0 0.001761772 -0.0068 0.00484340 0 0 0 0 0.00484343 -0.0287

0.000804424 0 0 0 0 0 00 0 0 0 0 0 0.0099651



C D E F G H J2823.69 2829.73 2831.16 2828.60 2825.45 2832.67 2838.460.000 0.000 0.000 0.000 0.000 0.000 0.0002823.69 2829.73 2831.16 2828.60 2825.45 2832.67 2838.46

C D E F G H J

2823.686 2829.725 2831.163 2828.600 2825.447 2832.672 2838.463

3 4 5 6 7 8 97211.932 237257.657 64942.063 263619.618 64942.063 263619.618 32471.031

0.013 0.004 0.003 0.003 0.005 0.005 0.011

[D]-1

-0.0125 -0.0036

0.0036 0.0031 0.0051

0.0031 -0.0031 0.0105

-0.0031

0.0125 -0.0047

0.0047

-0.005

-0.011

3 4 5 6 7 8 9

0.00312184 0.00027467

0.00027467 0.00027924 0.000185016

0.001151643 0.00027924 0.0008044

0.001151643

0.00312184 0.000802396

0.000802396

0.000185016

0.0008044


D E F G H J K

0 0.002834635 0 0 0 0 00 0 0.00312184 0 0 0 0

0.000279236 0 0 0 0 0.000185016 0-0.0022 0.001151643 0 0 0 0 0

0.001151643 -0.0040 0 0 0 0 00 0 -0.0039 0.0008024 0 0 00 0 0.000802396 -0.0014 0.00058 0 00 0 0 0.00058 -0.0023 0.001761772 00 0 0 0 0.001761772 -0.0068 0.00484340 0 0 0 0 0.00484343 -0.0287

0.000804424 0 0 0 0 0 00 0 0 0 0 0 0.0099651



C D E F G H J2823.69 2829.73 2831.16 2828.60 2825.45 2832.67 2838.460.000 0.000 0.000 0.000 0.000 0.000 0.0002823.69 2829.73 2831.16 2828.60 2825.45 2832.67 2838.46

C D E F G H J

2823.686 2829.725 2831.163 2828.600 2825.447 2832.672 2838.463

[D]-1

3 4 5 6 7 8 97211.932 237257.657 64942.063 263619.618 64942.063 263619.618 32471.031

0.013 0.004 0.003 0.003 0.005 0.005 0.011

-0.0125 -0.0036

0.0036 0.0031 0.0051

0.0031 -0.0031 0.0105

-0.0031

0.0125 -0.0047

0.0047

-0.005

-0.011

3 4 5 6 7 8 9

0.00312184 0.00027467

0.00027467 0.00027924 0.000185016

0.001151643 0.00027924 0.0008044

0.001151643

0.00312184 0.000802396

0.000802396

0.000185016

0.0008044


D E F G H J K

0 0.002834635 0 0 0 0 00 0 0.00312184 0 0 0 0

0.000279236 0 0 0 0 0.000185016 0-0.0022 0.001151643 0 0 0 0 0

0.001151643 -0.0040 0 0 0 0 00 0 -0.0039 0.0008024 0 0 00 0 0.000802396 -0.0014 0.00058 0 00 0 0 0.00058 -0.0023 0.001761772 00 0 0 0 0.001761772 -0.0068 0.00484340 0 0 0 0 0.00484343 -0.0287

0.000804424 0 0 0 0 0 00 0 0 0 0 0 0.0099651



[D]-1

C D E F G H J2823.69 2829.73 2831.16 2828.60 2825.45 2832.67 2838.460.000 0.000 0.000 0.000 0.000 0.000 0.0002823.69 2829.73 2831.16 2828.60 2825.45 2832.67 2838.46

C D E F G H J

2823.686 2829.725 2831.163 2828.600 2825.447 2832.672 2838.463

3 4 5 6 7 8 97211.932 237257.657 64942.063 263619.618 64942.063 263619.618 32471.031

0.013 0.004 0.003 0.003 0.005 0.005 0.011

-0.0125 -0.0036

0.0036 0.0031 0.0051

0.0031 -0.0031 0.0105

-0.0031

0.0125 -0.0047

0.0047

-0.005

-0.011

3 4 5 6 7 8 9

0.00312184 0.00027467

0.00027467 0.00027924 0.000185016

0.001151643 0.00027924 0.0008044

0.001151643

0.00312184 0.000802396

0.000802396

0.000185016

0.0008044


D E F G H J K

0 0.002834635 0 0 0 0 00 0 0.00312184 0 0 0 0

0.000279236 0 0 0 0 0.000185016 0-0.0022 0.001151643 0 0 0 0 0

0.001151643 -0.0040 0 0 0 0 00 0 -0.0039 0.0008024 0 0 00 0 0.000802396 -0.0014 0.00058 0 00 0 0 0.00058 -0.0023 0.001761772 00 0 0 0 0.001761772 -0.0068 0.00484340 0 0 0 0 0.00484343 -0.0287

0.000804424 0 0 0 0 0 00 0 0 0 0 0 0.0099651

#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!

[D]-1

#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!


C D E F G H J2823.69 2829.73 2831.16 2828.60 2825.45 2832.67 2838.460.000 0.000 0.000 0.000 0.000 0.000 0.0002823.69 2829.73 2831.16 2828.60 2825.45 2832.67 2838.46

Pres

23.49 18.3415.77 13.122.69 11.7927.73 10.4836.16 9.1738.60 7.8640.45 12.44535.67 11.13538.46 9.82537.23 8.51522.80 7.20530.66 11.135

131

Qtram (q/l) diam vel

67.331 0.300 0.953

17.459 0.150 0.988

31.532 0.200 1.004

13.716 0.150 0.776

4.716 0.075 1.067

8.289 0.100 1.055

4.716 0.075 1.067

5.856 0.100 0.746

2.358 0.075 0.534

6.907 0.100 0.879

14.112 0.150 0.799

25.247 0.200 0.804

29.907 0.200 0.952

17.724 0.150 1.003

6.589 0.100 0.839

63.669 0.300 0.901

10 11 12 13 14 150.014 0.025 0.030 0.018 0.007 0.064660.0 440.0 792.0 880.0 792.0 1056.0150 150 150 150 150 1500.150 0.200 0.200 0.150 0.100 0.300

6761.186 1110.401 1998.723 9014.915 58447.857 369.936

K M N T22838 2828 2833 2845.000

10 11 12 13 14 156761.186 1110.401 1998.723 9014.915 58447.857 369.936

0.020 0.054 0.039 0.022 0.009 0.117

-0.0183

-0.0131

-0.0118

-0.0105

-0.0092

-0.0079

0.009 -0.0124

0.022 -0.009 -0.0111

0.039 -0.022 -0.0098

-0.054 -0.039 0.117 -0.0085

0.020 -0.0072

-0.020 0.054 -0.0111

10 11 12 13 14 15

=

=

=

=

=

=

0.000524224 =

0.0015184139 0.000524224 =

0.004251467 0.0015184139 =

0.005839491 0.004251467 0.009055238 =0.002201688 =0.002201688 0.005839491 =

[Sq]

M N

0 0

*

= 0.0415300 0 = -0.0008960 0 = -0.000263

0.000760126 0 = 0.0046510 0 = 0.0032960 0 = 0.0058200 0 = 0.0023030 0 = 0.0026240 0 = 0.0017610 0.005839491 = 0.015435

-0.0030 0.002201688 = 0.0019210.002201688 -0.0080 = 0.022551

[Sq]

[∆H]

∆HA

∆HB

∆HC

∆HD

∆HE

∆HF

∆HG

∆HH

∆HJ

∆HK

∆HM

∆HN

[∆H]

#VALUE! #VALUE!

*

4.15300E-02 = #VALUE!#VALUE! #VALUE! -8.96461E-04 = #VALUE!

#VALUE! #VALUE! -2.63261E-04 = #VALUE!

#VALUE! #VALUE! 4.65121E-03 = #VALUE!




#VALUE! #VALUE! 2.62405E-03 = #VALUE!#VALUE! #VALUE! 1.76135E-03 = #VALUE!#VALUE! #VALUE! 1.54348E-02 = #VALUE!#VALUE! #VALUE! 1.92060E-03 = #VALUE!#VALUE! #VALUE! 2.25511E-02 = #VALUE!

K M N T22838.00 2828.00 2833.00 2845.00-5.126 -10.635 -9.4392843.13 2838.64 2842.44 2845.00

K M N T2

2843.126 2838.635 2842.439 2845.000

10 11 12 13 14 156761.186 1110.401 1998.723 9014.915 58447.857 369.936

0.018 0.019 0.033 0.018 0.008 0.058

-0.0183

-0.0131

-0.0118

∆HA

∆HB

∆HC

∆HD

∆HE

∆HF

∆HG

∆HH

∆HJ

∆HK

∆HM

∆HN

-0.0105

-0.0092

-0.0079

0.008 -0.0124

0.018 -0.008 -0.0111

0.033 -0.018 -0.0098

-0.019 -0.033 0.058 -0.0085

0.018 -0.0072

-0.018 0.019 -0.0111

10 11 12 13 14 15

=

=

=

=

=

=

0.000590805 =

0.001794978 0.000590805 =

0.004922756 0.001794978 =

0.014551035 0.004922756 0.016604876 =

0.002496834 =

0.002496834 0.014551035 =

[Sq]

M N

0 0

*

= -0.0216920 0 = 0.0010790 0 = -0.000264

0.000805025 0 = -0.000837

[∆H]

∆HA

∆HB

∆HC

∆HD

0 0

*= -0.000211

0 0 = -0.0015610 0 = -0.0001960 0 = -0.0002430 0 = -0.0001050 0.014551035 = -0.002560

-0.0033 0.002496834 = -0.0001440.002496834 -0.0170 = -0.010206

[Sq]

#VALUE! #VALUE!

*

-2.16922E-02 = #VALUE!#VALUE! #VALUE! 1.07888E-03 = #VALUE!#VALUE! #VALUE! -2.64301E-04 = #VALUE!#VALUE! #VALUE! -8.37019E-04 = #VALUE!#VALUE! #VALUE! -2.10838E-04 = #VALUE!#VALUE! #VALUE! -1.56120E-03 = #VALUE!#VALUE! #VALUE! -1.95795E-04 = #VALUE!#VALUE! #VALUE! -2.43295E-04 = #VALUE!#VALUE! #VALUE! -1.05348E-04 = #VALUE!#VALUE! #VALUE! -2.55978E-03 = #VALUE!#VALUE! #VALUE! -1.44382E-04 = #VALUE!#VALUE! #VALUE! -1.02063E-02 = #VALUE!

K M N T22843.13 2838.64 2842.44 2845.000.813 1.585 1.5252842.31 2837.05 2840.91 2845.00

K M N T22842.313 2837.050 2840.914 2845.000

∆HE

∆HF

∆HG

∆HH

∆HJ

∆HK

∆HM

∆HN

[∆H]

∆HA

∆HB

∆HC

∆HD

∆HE

∆HF

∆HG

∆HH

∆HJ

∆HK

∆HM

∆HN

10 11 12 13 14 156761.186 1110.401 1998.723 9014.915 58447.857 369.936

0.018 0.027 0.034 0.019 0.008 0.070

-0.0183

-0.0131

-0.0118

-0.0105

-0.0092

-0.0079

0.008 -0.0124

0.019 -0.008 -0.0111

0.034 -0.019 -0.0098

-0.027 -0.034 0.070 -0.0085

0.018 -0.0072

-0.018 0.027 -0.0111

10 11 12 13 14 15

=

=

=

=

=

=

0.000581978 =

0.0017644125 0.000581978 =

0.004849812 0.0017644125 =

0.010492226 0.004849812 0.014066903 =

0.00247891 =

0.00247891 0.010492226 =

[Sq]

M N

0 0

*

= -0.0041750 0 = 0.0000870 0 = -0.000005

0.000804665 0 = -0.0000930 0 = 0.0000570 0 = -0.0000900 0 = -0.0000010 0 = -0.0000020 0 = 0.0000000 0.010492226 = 0.000574

-0.0033 0.00247891 = -0.0000010.00247891 -0.0130 = -0.001691

[Sq]

#VALUE! #VALUE!

*

-4.17481E-03 = #VALUE!#VALUE! #VALUE! 8.68617E-05 = #VALUE!#VALUE! #VALUE! -5.20271E-06 = #VALUE!#VALUE! #VALUE! -9.27921E-05 = #VALUE!#VALUE! #VALUE! 5.67885E-05 = #VALUE!#VALUE! #VALUE! -9.01312E-05 = #VALUE!#VALUE! #VALUE! -1.34625E-06 = #VALUE!#VALUE! #VALUE! -2.23508E-06 = #VALUE!#VALUE! #VALUE! -2.08319E-07 = #VALUE!#VALUE! #VALUE! 5.73589E-04 = #VALUE!#VALUE! #VALUE! -5.38893E-07 = #VALUE!#VALUE! #VALUE! -1.69115E-03 = #VALUE!

K M N T2

[∆H]

∆HA

∆HB

∆HC

∆HD

∆HE

∆HF

∆HG

∆HH

∆HJ

∆HK

∆HM

∆HN

[∆H]

∆HA

∆HB

∆HC

∆HD

∆HE

∆HF

∆HG

∆HH

∆HJ

∆HK

∆HM

∆HN

2842.31 2837.05 2840.91 2845.000.083 0.246 0.2452842.23 2836.80 2840.67 2845.00

K M N T22842.230 2836.804 2840.669 2845.000

10 11 12 13 14 156761.186 1110.401 1998.723 9014.915 58447.857 369.936

0.018 0.029 0.034 0.019 0.008 0.071

-0.0183

-0.0131

-0.0118

-0.0105

-0.0092

-0.0079

0.008 -0.0124

0.019 -0.008 -0.0111

0.034 -0.019 -0.0098

-0.029 -0.034 0.071 -0.0085

0.018 -0.0072

-0.018 0.029 -0.0111

10 11 12 13 14 15

=

=

=

=

=

=

0.000580076 =

0.0017618643 0.000580076 =

0.004843647 0.0017618643 =

0.009977722 0.004843647 0.01387069 =

0.002478442 =

0.002478442 0.009977722 =

[Sq]

M N

0 0

*

= -0.0001250 0 = 0.0000000 0 = 0.000000

0.000804445 0 = -0.0000010 0 = 0.0000010 0 = 0.0000000 0 = 0.0000000 0 = 0.0000000 0 = 0.0000000 0.009977722 = 0.000034

-0.0033 0.002478442 = 0.0000000.002478442 -0.0125 = -0.000043

[Sq]

#VALUE! #VALUE!

*

-1.24749E-04 = #VALUE!#VALUE! #VALUE! 1.23697E-07 = #VALUE!#VALUE! #VALUE! -6.59133E-08 = #VALUE!#VALUE! #VALUE! -7.05819E-07 = #VALUE!#VALUE! #VALUE! 7.32927E-07 = #VALUE!#VALUE! #VALUE! -5.55744E-08 = #VALUE!

[∆H]

∆HA

∆HB

∆HC

∆HD

∆HE

∆HF

∆HG

∆HH

∆HJ

∆HK

∆HM

∆HN

[∆H]

∆HA

∆HB

∆HC

∆HD

∆HE

∆HF

#VALUE! #VALUE! * -1.22423E-07 = #VALUE!#VALUE! #VALUE! 2.56534E-08 = #VALUE!#VALUE! #VALUE! 1.88835E-08 = #VALUE!#VALUE! #VALUE! 3.44636E-05 = #VALUE!#VALUE! #VALUE! 9.36319E-11 = #VALUE!#VALUE! #VALUE! -4.26651E-05 = #VALUE!

K M N T22842.23 2836.80 2840.67 2845.000.001 0.005 0.0052842.23 2836.80 2840.66 2845.00

K M N T22842.229 2836.799 2840.664 2845.000

10 11 12 13 14 156761.186 1110.401 1998.723 9014.915 58447.857 369.936

0.018 0.029 0.034 0.019 0.008 0.071

-0.0183

-0.0131

-0.0118

-0.0105

-0.0092

-0.0079

0.008 -0.0124

0.019 -0.008 -0.0111

0.034 -0.019 -0.0098

-0.029 -0.034 0.071 -0.0085

∆HG

∆HH

∆HJ

∆HK

∆HM

∆HN

0.018 -0.0072

-0.018 0.029 -0.0111

10 11 12 13 14 15

=

=

=

=

=

=

0.00058 =

0.0017617719 0.00058 =

0.00484343 0.0017617719 =

0.009965076 0.00484343 0.013868982 =

0.002478405 =

0.002478405 0.009965076 =

[Sq]

M N

0 0

*

= 0.0000000 0 = 0.0000000 0 = 0.000000

0.000804424 0 = 0.0000000 0 = 0.0000000 0 = 0.0000000 0 = 0.0000000 0 = 0.0000000 0 = 0.0000000 0.009965076 = 0.000000

-0.0033 0.002478405 = 0.0000000.002478405 -0.0124 = 0.000000

[∆H]

∆HA

∆HB

∆HC

∆HD

∆HE

∆HF

∆HG

∆HH

∆HJ

∆HK

∆HM

∆HN

[Sq]

#VALUE! #VALUE!

*

-1.07202E-07 = #VALUE!#VALUE! #VALUE! 1.44873E-11 = #VALUE!#VALUE! #VALUE! -5.36055E-11 = #VALUE!#VALUE! #VALUE! 6.80382E-12 = #VALUE!#VALUE! #VALUE! -1.30176E-11 = #VALUE!#VALUE! #VALUE! 6.87281E-11 = #VALUE!#VALUE! #VALUE! -1.81046E-10 = #VALUE!#VALUE! #VALUE! 4.70972E-11 = #VALUE!#VALUE! #VALUE! 2.41089E-11 = #VALUE!#VALUE! #VALUE! 2.66611E-08 = #VALUE!#VALUE! #VALUE! 1.63217E-12 = #VALUE!#VALUE! #VALUE! -2.72528E-08 = #VALUE!

K M N T22842.23 2836.80 2840.66 2845.000.000 0.000 0.0002842.23 2836.80 2840.66 2845.00

K M N T22842.229 2836.799 2840.664 2845.000

10 11 12 13 14 156761.186 1110.401 1998.723 9014.915 58447.857 369.936

0.018 0.029 0.034 0.019 0.008 0.071

-0.0183

[∆H]

∆HA

∆HB

∆HC

∆HD

∆HE

∆HF

∆HG

∆HH

∆HJ

∆HK

∆HM

∆HN

-0.0131

-0.0118

-0.0105

-0.0092

-0.0079

0.008 -0.0124

0.019 -0.008 -0.0111

0.034 -0.019 -0.0098

-0.029 -0.034 0.071 -0.0085

0.018 -0.0072

-0.018 0.029 -0.0111

10 11 12 13 14 15

=

=

=

=

=

=

0.00058 =

0.0017617718 0.00058 =

0.00484343 0.0017617718 =

0.009965068 0.00484343 0.013868981 =

0.002478405 =

0.002478405 0.009965068 =

[Sq]

M N

0 0

*

= 0.0000000 0 = 0.000000

[∆H]

∆HA

∆HB

0 0

*

= 0.0000000.000804424 0 = 0.000000

0 0 = 0.0000000 0 = 0.0000000 0 = 0.0000000 0 = 0.0000000 0 = 0.0000000 0.009965068 = 0.000000

-0.0033 0.002478405 = 0.0000000.002478405 -0.0124 = 0.000000

[Sq]

#VALUE! #VALUE!

*

-7.81805E-14 = #VALUE!#VALUE! #VALUE! -1.43115E-15 = #VALUE!#VALUE! #VALUE! -4.68375E-17 = #VALUE!#VALUE! #VALUE! 1.92554E-16 = #VALUE!#VALUE! #VALUE! 3.74267E-16 = #VALUE!#VALUE! #VALUE! 9.26342E-16 = #VALUE!#VALUE! #VALUE! -1.12757E-16 = #VALUE!#VALUE! #VALUE! 0.00000E+00 = #VALUE!#VALUE! #VALUE! -4.14599E-16 = #VALUE!#VALUE! #VALUE! 1.26860E-14 = #VALUE!#VALUE! #VALUE! 1.50054E-16 = #VALUE!#VALUE! #VALUE! -1.28977E-14 = #VALUE!

K M N T22842.23 2836.80 2840.66 2845.000.000 0.000 0.0002842.23 2836.80 2840.66 2845.00

K M N T22842.229 2836.799 2840.664 2845.000

∆HC

∆HD

∆HE

∆HF

∆HG

∆HH

∆HJ

∆HK

∆HM

∆HN

[∆H]

∆HA

∆HB

∆HC

∆HD

∆HE

∆HF

∆HG

∆HH

∆HJ

∆HK

∆HM

∆HN

10 11 12 13 14 156761.186 1110.401 1998.723 9014.915 58447.857 369.936

0.018 0.029 0.034 0.019 0.008 0.071

-0.0183

-0.0131

-0.0118

-0.0105

-0.0092

-0.0079

0.008 -0.0124

0.019 -0.008 -0.0111

0.034 -0.019 -0.0098

-0.029 -0.034 0.071 -0.0085

0.018 -0.0072

-0.018 0.029 -0.0111

10 11 12 13 14 15

=

=

=

=

=

=

0.00058 =

0.0017617718 0.00058 =

0.00484343 0.0017617718 =

0.009965068 0.00484343 0.013868981 =

0.002478405 =

0.002478405 0.009965068 =

[Sq]

M N

0 0

*

= 0.0000000 0 = 0.0000000 0 = 0.000000

0.000804424 0 = 0.0000000 0 = 0.0000000 0 = 0.0000000 0 = 0.0000000 0 = 0.0000000 0 = 0.0000000 0.009965068 = 0.000000

-0.0033 0.002478405 = 0.0000000.002478405 -0.0124 = 0.000000

[Sq]

#VALUE! #VALUE!

*

1.11022E-15 = #VALUE!#VALUE! #VALUE! 3.62557E-16 = #VALUE!#VALUE! #VALUE! -7.97973E-17 = #VALUE!#VALUE! #VALUE! -4.94396E-16 = #VALUE!#VALUE! #VALUE! 1.32706E-16 = #VALUE!#VALUE! #VALUE! 2.28983E-16 = #VALUE!#VALUE! #VALUE! -4.68375E-17 = #VALUE!#VALUE! #VALUE! 0.00000E+00 = #VALUE!#VALUE! #VALUE! 6.35776E-16 = #VALUE!#VALUE! #VALUE! -3.09995E-15 = #VALUE!#VALUE! #VALUE! 9.02924E-16 = #VALUE!#VALUE! #VALUE! -4.21538E-16 = #VALUE!

[∆H]

∆HA

∆HB

∆HC

∆HD

∆HE

∆HF

∆HG

∆HH

∆HJ

∆HK

∆HM

∆HN

[∆H]

∆HA

∆HB

∆HC

∆HD

∆HE

∆HF

∆HG

∆HH

∆HJ

∆HK

∆HM

∆HN

K M N T22842.23 2836.80 2840.66 2845.000.000 0.000 0.0002842.23 2836.80 2840.66 2845.00

K M N T22842.229 2836.799 2840.664 2845.000

10 11 12 13 14 156761.186 1110.401 1998.723 9014.915 58447.857 369.936

0.018 0.029 0.034 0.019 0.008 0.071

-0.0183

-0.0131

-0.0118

-0.0105

-0.0092

-0.0079

0.008 -0.0124

0.019 -0.008 -0.0111

0.034 -0.019 -0.0098

-0.029 -0.034 0.071 -0.0085

0.018 -0.0072

-0.018 0.029 -0.0111

10 11 12 13 14 15

=

=

=

=

=

=

0.00058 =

0.0017617718 0.00058 =

0.00484343 0.0017617718 =

0.009965068 0.00484343 0.013868981 =

0.002478405 =

0.002478405 0.009965068 =

[Sq]

M N

0 0

*

= 0.0000000 0 = 0.0000000 0 = 0.000000

0.000804424 0 = 0.0000000 0 = 0.0000000 0 = 0.0000000 0 = 0.0000000 0 = 0.0000000 0 = 0.0000000 0.009965068 = 0.000000

-0.0033 0.002478405 = 0.0000000.002478405 -0.0124 = 0.000000

[Sq]

#VALUE! #VALUE!

*

1.11022E-15 = #VALUE!#VALUE! #VALUE! 3.62557E-16 = #VALUE!#VALUE! #VALUE! -7.97973E-17 = #VALUE!#VALUE! #VALUE! -4.94396E-16 = #VALUE!#VALUE! #VALUE! 1.32706E-16 = #VALUE!

[∆H]

∆HA

∆HB

∆HC

∆HD

∆HE

∆HF

∆HG

∆HH

∆HJ

∆HK

∆HM

∆HN

[∆H]

∆HA

∆HB

∆HC

∆HD

∆HE

#VALUE! #VALUE! * 2.28983E-16 = #VALUE!#VALUE! #VALUE! -4.68375E-17 = #VALUE!#VALUE! #VALUE! 0.00000E+00 = #VALUE!#VALUE! #VALUE! 6.35776E-16 = #VALUE!#VALUE! #VALUE! -3.09995E-15 = #VALUE!#VALUE! #VALUE! 9.02924E-16 = #VALUE!#VALUE! #VALUE! -4.21538E-16 = #VALUE!

K M N T22842.23 2836.80 2840.66 2845.000.000 0.000 0.0002842.23 2836.80 2840.66 2845.00

∆HF

∆HG

∆HH

∆HJ

∆HK

∆HM

∆HN

[Sq]

= 0.041530

= -0.000896

= -0.000263

= 0.004651

= 0.003296

= 0.005820

= 0.002303

= 0.002624

= 0.001761

= 0.015435

= 0.001921

= 0.022551

-0.0192

-0.0072

-0.0008

-0.0018

-0.0026

-0.0028

-0.0012

-0.0020

-0.0059

-0.0191-0.0030-0.0080

[di,i]

[Sq]

= -0.021692

= 0.001079

= -0.000264

= -0.000837

= -0.000211

= -0.001561

= -0.000196

= -0.000243

= -0.000105

= -0.002560

= -0.000144

= -0.010206

-0.0417

-0.0097

-0.0008

-0.0026

-0.0045

-0.0043

-0.0014

-0.0024

-0.0069

-0.0361

-0.0033

-0.0170

[di,i]

[Sq]

= -0.004175

= 0.000087

= -0.000005

= -0.000093

= 0.000057

= -0.000090

= -0.000001

= -0.000002

= 0.000000

= 0.000574

= -0.000001

= -0.001691

-0.0314

-0.0092

-0.0007

-0.0023

-0.0040

-0.0039

-0.0014

-0.0023

-0.0068

-0.0294

-0.0033

-0.0130

[di,i]

[Sq]

= -0.000125

= 0.000000

= 0.000000

= -0.000001

= 0.000001

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000034

= 0.000000

= -0.000043

-0.0301

-0.0092

-0.0007

[di,i]

-0.0022

-0.0040

-0.0039

-0.0014

-0.0023

-0.0068

-0.0287

-0.0033

-0.0125

[Sq]

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

-0.0301

-0.0092

-0.0007

-0.0022

-0.0040

-0.0039

-0.0014

-0.0023

-0.0068

-0.0287

-0.0033

-0.0124

[di,i]

[Sq]

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

-0.0301

-0.0092

-0.0007

-0.0022

-0.0040

-0.0039

-0.0014

-0.0023

-0.0068

-0.0287

-0.0033

-0.0124

[di,i]

[Sq]

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

-0.0301

-0.0092

-0.0007

-0.0022

-0.0040

-0.0039

-0.0014

-0.0023

-0.0068

-0.0287

-0.0033

[di,i]

-0.0124

[Sq]

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

= 0.000000

-0.0301

-0.0092

[di,i]

-0.0007

-0.0022

-0.0040

-0.0039

-0.0014

-0.0023

-0.0068

-0.0287

-0.0033

-0.0124

practica 2 civ-2238-c ultimo

Documents