TRANSITORIOS EN SISTEMAS HIDRAULICOS A PRESIÓN

Considerese la conducción de la Figura, que incluye los datos físicos de sus diferentes seccionesDatos Fisicos Sección 1 Sección 2 Sección 3 Sección 4

f = 0.0112 0.0112 0.0126 0.0138a (m/s) = 1112 1248 1312 1338

D (m) = 1.6 1.57 1.55 1.5L (m) = 1500 750 500 1000

Longitud Total de la Tubería (m) = 3750

Tiempo que dura en recorrer la perturbación en cada una de las secciones

1.34892086331 0.6009615384615 0.38109756098 0.74738416

Una perturbación provocada, por ejemplo, en el extremo aguas abajo se hace sentir en el extremo al cabo de Tiempo total que recorre la onda de presión en toda la Longitud de la Tubería = 3.08

El tiempo invertido por la onda en conducir la tubería real, debe coincidir con el que se invierte

1218.17947975

De manera similar obtenemos el diámetro equivalente

Sección 1 Sección 2 Sección 3 Sección 4

585.9375 304.27197857925 208.116545265 444.444444

1542.77046829

2.43069210688

1.55906770439

y por ultimo obtenemos el factor de fricción equivalente

Sección 1 Sección 2 Sección 3 Sección 4

1.60217285156 0.8806047505933 0.70417736104 1.817283955.00423891381

0.0123

DATOS DE LA CONDUCCIÓN

ti (seg) =

en un conducto equivalente, para lo cual obtenemos ae

ae (m/s) =

Li/D2i =

∑Li/D2i =

De2 (m2) =

De (m) =

fiLi/D5i =

∑(fiLi/D5i) =

fe =

j

je

a

LL

a

2

2

i

ie

D

LL

D

5

5

i

iiee D

Lf

L

Df

Longitud (m) Diámetro (m) Celeridad (m/s) Fricción3750 1.559 1218.2 0.0114

CONDICIONES DE CONTORNO

Cota Dep. 1 Cota Dep. 2 Tiempo Cierre Exponente(m) (m) (seg)

127.5 0 1.1 30 2

DATOS DEL USUARIONum. Tramos Incr. Tiempo Tiempo simulac.

N ∆t (seg)8 0 40

Condiciones Iniciales (Cálculos Iniciales)N = 8

Dx = 468.75a = 1218.2

Dt = 0.4

Salto = 2Area = 1.91

g = 9.81Ca = 0.01537367019

R = 0.00191509379DHDx = 0.04793386954

Q0 = 10.2654327062 Caudal de Partida

ALTURAS PIEZOMETRICAS Y CAUDALESTiempo Nudo 1 Nudo 2 Nudo 3 Nudo 4 Nudo 5

0.0 H = 127.5 122.448771554 117.397543 112.346315 107.295086Q = 10.265432706239 10.2654327062 10.2654327 10.2654327 10.2654327

0.4 H = 127.5 122.448771554 117.397543 112.346315 107.295086Q = 10.265432706239 10.2654327062 10.2654327 10.2654327 10.2654327

0.8 H = 127.5 122.448771554 117.397543 112.346315 107.295086Q = 10.265432706239 10.2654327062 10.2654327 10.2654327 10.2654327

1.2 H = 127.5 122.448771554 117.397543 112.346315 107.295086Q = 10.265432706239 10.2654327062 10.2654327 10.2654327 10.2654327

1.5 H = 127.5 122.448771554 117.397543 112.346315 107.295086Q = 10.265432706239 10.2654327062 10.2654327 10.2654327 10.2654327

1.9 H = 127.5 122.448771554 117.397543 112.346315 110.809854Q = 10.265432706239 10.2654327062 10.2654327 10.2654327 10.2113978

2.3 H = 127.5 122.448771554 117.397543 115.834564 114.48281Q = 10.265432706239 10.2654327062 10.2654327 10.2118055 10.154931

2.7 H = 127.5 122.448771554 120.859474 119.479958 118.333384Q = 10.265432706239 10.2654327062 10.2122101 10.1557624 10.0965428

3.1 H = 127.5 125.884581357 124.47751 123.301993 122.356685Q = 10.265432706239 10.2126116995 10.1565876 10.0978069 10.0355311

Coef. Inicial Kv0

Tsim (seg)

NUDO 1

NUDO 2

NUDO 3

3.5 H = 127.5 129.475463681 128.271216 127.295652 126.573141Q = 10.160587797143 10.157406659 10.0990615 10.0372446 9.9723768

3.8 H = 127.5 129.8567601 132.235447 131.481422 130.977616Q = 10.051006402466 10.0482779849 10.0389455 9.97454971 9.90639738

4.2 H = 127.5 130.254176172 133.031585 135.854049 135.591509Q = 9.9376407249901 9.93421898677 9.92506407 9.9090472 9.83804526

4.6 H = 127.5 130.668837634 133.860807 137.100454 140.409324Q = 9.8191515580173 9.81614831987 9.8060462 9.78991896 9.76665836

5.0 H = 127.5 131.100466456 134.725382 138.397605 142.142968Q = 9.6964244739121 9.69274853715 9.68277717 9.66543787 9.64176879

5.4 H = 127.5 131.550205449 135.624593 139.748903 143.945503Q = 9.5681630273557 9.56487230242 9.55396298 9.53645645 9.51130278

5.8 H = 127.5 132.017619037 136.560718 141.152999 145.821421Q = 9.4351873857753 9.43124585077 9.42042394 9.4017064 9.37608115

6.2 H = 127.5 132.503840877 137.532691 142.61326 147.768502Q = 9.2962456563625 9.29265737782 9.28091114 9.26197668 9.23486399

6.5 H = 127.5 133.008244667 138.542739 144.12776 149.791127Q = 9.1520944142577 9.14787900116 9.13618178 9.11604594 9.08841047

6.9 H = 127.5 133.531923762 139.589379 145.69974 151.88623Q = 9.0015289210849 8.99763661708 8.98503467 8.96464187 8.93553008

7.3 H = 127.5 134.074024028 140.674721 147.326586 154.05795Q = 8.845244676072 8.8407512821 8.82816648 8.80659326 8.77692312

7.7 H = 127.5 134.635562834 141.796784 149.011308 156.302221Q = 8.6820875996386 8.67788951811 8.66442731 8.64256958 8.61145222

8.1 H = 127.5 135.215418022 142.957489 150.750485 159.392565Q = 8.5126954406174 8.50792531406 8.49445669 8.47145383 8.4279281

8.5 H = 127.5 135.814491625 144.154277 153.311762 162.437293Q = 8.3359692563616 8.33146959206 8.31716048 8.28210049 8.23889928

8.9 H = 127.5 136.431351549 146.149108 155.810031 165.447548Q = 8.1524932625665 8.14745425844 8.12143654 8.08699224 8.04498126

9.2 H = 127.5 137.822502778 148.06358 158.25527 168.380941Q = 7.9612291439525 7.94482052063 7.91970675 7.88671484 7.84553709

9.6 H = 127.5 139.116424805 149.906618 160.606466 171.246012Q = 7.7396112809134 7.73593524043 7.71252883 7.68065568 7.64116288

10.0 H = 127.5 139.574085756 151.638885 162.871098 173.997322Q = 7.5132474346169 7.50984562416 7.49931834 7.46938293 7.43131637

10.4 H = 127.5 140.017448607 152.52404 165.005407 176.640564Q = 7.2826619870514 7.27921002247 7.26919668 7.25238165 7.21658173

10.8 H = 127.5 140.445257538 153.374627 166.275238 179.127258Q = 7.0477238171296 7.04456174551 7.03481409 7.01885056 6.99651719

11.2 H = 127.5 140.852821051 154.18779 167.483599 180.724967Q = 6.8089753688414 6.8058388557 6.79671833 6.78143828 6.76040141

11.5 H = 127.5 141.238535652 154.953847 168.625718 182.227127Q = 6.5664232882776 6.56359848365 6.55492063 6.5407121 6.52088677

11.9 H = 127.5 141.597409081 155.669276 169.686709 183.626796Q = 6.3206396675471 6.31791993828 6.30999794 6.29675926 6.27856439

12.3 H = 127.5 141.927518968 156.323873 170.66087 184.903782Q = 6.0717760589468 6.06939545721 6.06210518 6.05018088 6.03359875

12.7 H = 127.5 142.223651559 156.913532 171.532682 186.050032Q = 5.8204452217022 5.81825187926 5.81185912 5.80120882 5.78661827

13.1 H = 127.5 142.483618956 157.427714 172.295677 187.044747Q = 5.5669490767828 5.56512695438 5.55956339 5.55048764 5.53793114

13.5 H = 127.5 142.702093399 157.861864 172.934026 187.879033Q = 5.3119508711898 5.31039929189 5.30588401 5.29839722 5.28821132

13.9 H = 127.5 142.876701555 158.205353 173.440733 188.531971Q = 5.0559059408342 5.05476100644 5.05127591 5.04563357 5.037912

14.2 H = 127.5 143.002138179 158.453361 173.800067 188.899134Q = 4.7995359262151 4.79874390871 4.79646185 4.79272514 4.7892204

14.6 H = 127.5 143.075952037 158.595468 173.910098 189.037507Q = 4.5434494087731 4.5431010343 4.54204745 4.54188145 4.54154255

15.0 H = 127.5 143.093024905 158.532424 173.832799 188.94735Q = 4.2884316379881 4.28851520709 4.29026848 4.29259096 4.29550203

15.4 H = 127.5 142.956849779 158.331194 173.570752 188.61978Q = 4.035240231133 4.0372507017 4.04069567 4.04551015 4.05168207

15.8 H = 127.5 142.739224785 157.996778 173.120305 188.057798Q = 3.7876108503073 3.78895803446 3.79402046 3.8013009 3.81073055

16.2 H = 127.5 142.5410929 157.530582 172.486869 187.258461Q = 3.5440958527296 3.5458022046 3.55098122 3.56064693 3.57329715

16.5 H = 127.5 142.292527884 157.033712 171.672548 186.228478Q = 3.3053003254746 3.30742424533 3.31373237 3.32427514 3.34004515

16.9 H = 127.5 141.993957122 156.437172 170.779517 184.971873Q = 3.0719475973154 3.07442415584 3.08190795 3.09431692 3.11167215

17.3 H = 127.5 141.646113213 155.742703 169.740916 183.59291Q = 2.8446334143557 2.84751571066 2.85609004 2.87038121 2.89027219

17.7 H = 127.5 141.250311341 154.95299 168.560803 182.028152Q = 2.6240628335815 2.62727755496 2.63696497 2.65301756 2.67540974

18.1 H = 127.5 140.808503876 154.071669 167.245121 180.285059Q = 2.4107981521717 2.41438807343 2.42507958 2.44286557 2.46758591

18.5 H = 127.5 140.323012985 153.10395 165.800909 178.374163Q = 2.2054918215582 2.20937844209 2.22106624 2.24042428 2.26737372

18.9 H = 127.5 139.797098455 152.055564 164.237973 176.307021Q = 2.0086445053308 2.01285576609 2.02540891 2.04626011 2.07520781

19.2 H = 127.5 139.234171806 150.934371 162.56657 174.099344Q = 1.8208185357043 1.82527400374 1.83864931 1.86079311 1.89156903

19.6 H = 127.5 138.638836771 149.748316 160.800474 171.767006Q = 1.6424215768744 1.64713056462 1.66117788 1.68447986 1.71679703

20.0 H = 127.5 138.015629207 148.507921 158.953254 169.330909Q = 1.4738864704013 1.47876988542 1.49340722 1.51763065 1.55124477

20.4 H = 127.5 137.37047273 147.223358 157.042577 166.857346Q = 1.31549460379 1.32054023736 1.33560183 1.36055472 1.39441848

20.8 H = 127.5 136.709006842 145.9077 155.131298 164.339389Q = 1.1675097852285 1.17264311144 1.18800667 1.21271323 1.24701181

21.2 H = 127.5 136.038384031 144.619237 153.207955 161.79726Q = 1.0300535454729 1.03523900562 1.0500205 1.07473488 1.10914916

21.5 H = 127.5 135.411225949 143.340637 151.288259 159.2563Q = 0.9031829343564 0.90764708776 0.92218681 0.94668067 0.98089845

21.9 H = 127.5 134.803084386 142.081983 149.391659 156.737367Q = 0.7854154178187 0.79030658935 0.80448598 0.82853369 0.86224745

22.3 H = 127.5 134.171483425 140.85559 147.533398 154.265112Q = 0.6775711101286 0.68239564299 0.6967971 0.72020079 0.75310496

22.7 H = 127.5 133.553138744 139.62417 145.730999 151.859472Q = 0.5794873003934 0.5841738298 0.59822469 0.62148637 0.65331092

23.1 H = 127.5 132.953215088 138.429626 143.951896 149.542365Q = 0.4908633906716 0.49540390852 0.50895284 0.53142792 0.56260706

23.5 H = 127.5 132.376921011 137.281828 142.24237 147.285068Q = 0.4113871197986 0.41570965706 0.42867638 0.45014609 0.47997672

23.9 H = 127.5 131.828961316 136.190379 140.616118 145.136965Q = 0.3406061314962 0.34471038047 0.35695546 0.3772807 0.40549622

24.2 H = 127.5 131.31373144 135.163814 139.085861 143.11425Q = 0.2780707922947 0.28188959025 0.29335389 0.31234738 0.33877034

24.6 H = 127.5 130.835062176 134.209647 137.662635 141.230994Q = 0.223199983999 0.22674166525 0.23731018 0.25487443 0.27929692

25.0 H = 127.5 130.396071473 133.334207 136.3553 139.498912Q = 0.1754316329567 0.1786400243 0.18828274 0.20428212 0.22659624

25.4 H = 127.5 129.999257346 132.54196 135.170866 137.925945Q = 0.1340932598686 0.13698619518 0.14562633 0.16002044 0.18010479

25.8 H = 127.5 129.645965574 131.83608 134.112874 136.517481Q = 0.0985496085665 0.10108864235 0.10873367 0.12145999 0.13929916

26.2 H = 127.5 129.336872791 131.216988 133.182876 135.273424Q = 0.0680897448708 0.07030297512 0.07692873 0.08801975 0.1036072

26.6 H = 127.5 129.071053373 130.683737 132.377654 134.152008Q = 0.0420598564261 0.04393347196 0.04959309 0.05908068 0.07311492

26.9 H = 127.5 128.846880388 130.231756 131.652938 133.169004Q = 0.0197791931915 0.02135205793 0.02608779 0.0346911 0.04691215

27.3 H = 127.5 128.660709667 129.8161 131.023143 132.314967Q = 0.0006452270961 0.00193453729 0.00645126 0.01392077 0.02451239

27.7 H = 127.5 128.469220238 129.452101 130.478142 131.573212Q = -0.015909833071 -0.01425524548 -0.01023205 -0.00372679 0.00546404

28.1 H = 127.5 128.291394527 129.131268 130.002173 130.927352Q = -0.029155568006 -0.02807628498 -0.02443319 -0.01868861 -0.01063278

28.5 H = 127.5 128.162053438 128.841478 129.580489 130.354584Q = -0.040242342526 -0.0393331328 -0.0365325 -0.03133893 -0.02410619

28.9 H = 127.5 128.050090138 128.611288 129.193906 129.833088Q = -0.049510183922 -0.04869805349 -0.04623838 -0.04194964 -0.03522159

29.2 H = 127.5 127.949242144 128.402533 128.863909 129.336457Q = -0.057153210245 -0.05641487809 -0.05411465 -0.05012051 -0.04413987

29.6 H = 127.5 127.852451014 128.201879 128.545108 128.879359Q = -0.063319033293 -0.06256926875 -0.06029649 -0.05630438 -0.05035619

30.0 H = 127.5 127.752645957 127.995043 128.217356 128.410248Q = -0.067984849427 -0.06720017437 -0.06475855 -0.06053174 -0.05422875

30.4 H = 127.5 127.642602733 127.768143 127.860213 127.903711Q = -0.071080942154 -0.07017377082 -0.06743509 -0.06268263 -0.05570717

30.8 H = 127.5 127.515509186 127.507796 127.454533 127.335559Q = -0.072362469354 -0.07131565198 -0.06809767 -0.0626104 -0.05461387

31.2 H = 127.5 127.365208082 127.201927 126.983182 126.684225Q = -0.071550337175 -0.07028636412 -0.06649099 -0.06002901 -0.05076505

31.6 H = 127.5 127.186434237 126.840626 126.431663 125.932615Q = -0.068210477124 -0.06672590793 -0.06221797 -0.05464596 -0.04387528

31.9 H = 127.5 126.975436232 126.416206 125.790105 125.209719Q = -0.061901970287 -0.06014257812 -0.05488139 -0.04606475 -0.03585798

32.3 H = 127.5 126.729791337 125.924951 125.194303 124.629689Q = -0.052075442218 -0.05005821256 -0.04399011 -0.03609403 -0.02822334

32.7 H = 127.5 126.449533823 125.507917 124.764563 124.225353Q = -0.038215432002 -0.03592392326 -0.03127167 -0.02614924 -0.02119676

33.1 H = 127.5 126.278137189 125.28916 124.53898 123.973411Q = -0.019773451695 -0.01942983992 -0.01808376 -0.01637483 -0.01398584

33.5 H = 127.5 126.33962723 125.309202 124.498011 123.87715Q = -0.000645045839 -0.0019339753 -0.00453348 -0.00592066 -0.00619988

33.9 H = 127.5 126.531064716 125.548478 124.647372 123.948129Q = 0.015905215727 0.01425104596 0.0102289 0.00564129 0.00253307

34.2 H = 127.5 126.708847162 125.869231 124.998593 124.198325Q = 0.0291469877949 0.0280679521 0.02442571 0.01868256 0.01254477

34.6 H = 127.5 126.83815991 126.158952 125.420173 124.646319Q = 0.0402302943525 0.03932127301 0.03652128 0.03132894 0.02409806

35.0 H = 127.5 126.950098173 126.389089 125.806659 125.167675Q = 0.0494950448732 0.04868311098 0.04622401 0.04193633 0.03521004

35.4 H = 127.5 127.050921218 126.597791 126.136569 125.664167Q = 0.0571353737684 0.05639722868 0.05409762 0.05010458 0.04412566

35.8 H = 127.5 127.147684368 126.798386 126.455275 126.121125Q = 0.0632988738912 0.06254935246 0.06027728 0.05628645 0.05034016

36.2 H = 127.5 127.24745563 127.005151 126.782916 126.590079Q = 0.0679628536539 0.06717845509 0.06473773 0.06051244 0.05421169

36.6 H = 127.5 127.357456467 127.231965 127.139925 127.096435Q = 0.0710576632553 0.07015086712 0.06741328 0.06266267 0.05568979

36.9 H = 127.5 127.484497329 127.492207 127.54545 127.664382Q = 0.0723386578983 0.07129227535 0.06807564 0.06259051 0.05459695

37.3 H = 127.5 127.634735873 127.797954 128.016624 128.31549Q = 0.0715268628415 0.07026341682 0.06646954 0.06001 0.05074928

37.7 H = 127.5 127.813440307 128.159121 128.567951 129.066857Q = 0.0681883938173 0.06670436479 0.06219805 0.05462862 0.04386141

38.1 H = 127.5 128.024366664 128.583402 129.209308 129.78953Q = 0.061882357981 0.06012352724 0.05486396 0.04604998 0.03584626

38.5 H = 127.5 128.269941561 129.074517 129.80494 130.369387Q = 0.0520594232406 0.05004270838 0.0439762 0.03608221 0.02821374

38.9 H = 127.5 128.550131866 129.491451 130.234569 130.773605Q = 0.0382040353132 0.03591304508 0.03126178 0.02614051 0.02118931

39.2 H = 127.5 128.721498073 129.710169 130.460104 131.025479Q = 0.0197677136746 0.01942405123 0.01807806 0.01636931 0.01398082

39.6 H = 127.5 128.660036078 129.690148 130.501076 131.12172Q = 0.0006448646901 0.00193341364 0.00453207 0.00591867 0.00619764

40.0 H = 127.5 128.468650505 129.450944 130.351765 131.05077Q = -0.015900601179 -0.014246849 -0.01022574 -0.00563943 -0.00253216

40.4 H = 127.5 128.290911299 129.130271 130.00064 130.800649Q = -0.029138412815 -0.02805962433 -0.02441824 -0.01867652 -0.0125404

40.8 H = 127.5 128.161626878 128.840618 129.579166 130.35278Q = -0.040218253584 -0.03930942054 -0.03651006 -0.03131896 -0.02408994

41.2 H = 127.5 128.049713639 128.610535 129.192776 129.831562Q = -0.049479915234 -0.04866817779 -0.04620965 -0.04192303 -0.03519849

Una perturbación provocada, por ejemplo, en el extremo aguas abajo se hace sentir en el extremo al cabo de seg

j

je

a

LL

a

2

2

i

ie

D

LL

D

5

5

i

iiee D

Lf

L

Df

Tiempo de Simulación

Nudo 6 Nudo 7 Nudo 8 Nudo 9 Cn1 Cp2 Cn2 Cp3102.243858 97.1926293 92.1414009 87.090172410.2654327 10.2654327 10.2654327 10.2654327102.243858 97.1926293 92.1414009 90.7130406 8.3052898 12.14792 8.3829457 12.07026410.2654327 10.2654327 10.2654327 10.2097359102.243858 97.1926293 95.7369371 94.4983285 8.3052898 12.14792 8.3829457 12.07026410.2654327 10.2654327 10.2101561 10.1515422102.243858 100.761039 99.4938266 98.4651681 8.3052898 12.14792 8.3829457 12.07026410.2654327 10.2105731 10.1523989 10.0913913105.785346 104.489742 103.431279 102.609208 8.3052898 12.14792 8.3829457 12.070264

10.210987 10.1532493 10.0926936 10.0285489109.486071 108.398022 107.544806 106.950613 8.3052898 12.14792 8.3829457 12.07026410.1540933 10.0939863 10.0303139 9.96352411113.365392 112.481255 111.85464 111.484735 8.3052898 12.14792 8.3829457 12.07026410.0952693 10.0320658 9.96576168 9.89560328

117.41855 116.759742 116.356009 116.232744 8.3052898 12.14792 8.3829457 12.07026410.0338048 9.9679829 9.8983313 9.82526596121.665912 121.228587 121.070144 121.189575 8.3052898 12.14792 8.2773037 12.0702649.97018791 9.90103957 9.82849539 9.75182052

NUDO 3

NUDO 4

NUDO 5

NUDO 6

NUDO 7

NUDO 8

NUDO 9

)(2 iH

126.102459 125.909078 125.991868 126.377346 8.2004448 12.14792 8.1668936 12.0710619.90372821 9.83170165 9.75556981 9.67571829130.749536 130.795931 131.143353 131.790429 8.0908635 12.044653 8.051903 12.071899.83488489 9.75929243 9.67999925 9.59629117135.601754 135.91137 136.518877 137.4518 7.9774978 11.936704 7.9317342 11.9702489.76298855 9.68425005 9.60112274 9.51396416140.681383 141.249578 142.141464 143.355086 7.8590086 11.825008 7.8072887 11.8639789.68847089 9.60592058 9.51935886 9.42809474145.982517 146.833626 148.004665 149.523996 7.7362815 11.708244 7.6772532 11.7540019.61068493 9.5247163 9.43407181 9.33908393148.241442 152.65699 154.132233 155.951198 7.6080201 11.587282 7.5424628 11.639011

9.4795061 9.44000803 9.34565643 9.24631734150.587593 155.479658 160.516778 162.66097 7.4750444 11.460841 7.4016505 11.5198639.34252414 9.30200781 9.25350458 9.15017493153.026478 158.407706 163.941249 169.644765 7.3361027 11.329728 7.255587 11.3952939.20052973 9.15797994 9.10815841 9.05007345155.554722 161.447536 167.488603 174.497583 7.1919515 11.192704 7.1030541 11.2660929.05231471 9.00868712 8.95656881 8.88473504158.177606 164.594294 171.950713 179.369093 7.041386 11.050512 6.9447609 11.1310368.89861053 8.85295689 8.78740898 8.71480632160.890598 168.633647 176.416616 184.275423 6.8851017 10.901961 6.7795415 10.9908538.73826152 8.67950964 8.61344846 8.54102908164.473235 172.661014 180.901204 189.170858 6.7219447 10.747732 6.6080468 10.8443648.56003383 8.50103791 8.43539727 8.36269579168.027352 176.690023 185.359342 194.068854 6.5525525 10.586683 6.4291681 10.692238

8.3765461 8.31821978 8.25256256 8.18052596171.565321 180.676267 189.803226 198.919821 6.3758263 10.419437 6.2435024 10.5333418.18844479 8.13037877 8.06563222 7.99390048175.043632 184.630681 194.184005 203.734184 6.1923503 10.244905 6.0500037 10.3682857.99507187 7.93817134 7.87400264 7.80352239178.471993 188.505323 198.510839 208.458363 6.0010862 10.063658 5.8259828 10.1959877.79705304 7.74101152 7.67834571 7.60886441181.803585 192.308122 202.731066 213.099443 5.7794683 9.8746653 5.5972052 10.0171447.59382259 7.53954064 7.47815102 7.41061876185.045167 195.987544 206.850533 217.599842 5.5531045 9.6556116 5.3640797 9.83056467.38599242 7.33326777 7.27408047 7.2083528188.146585 199.548257 210.812785 221.963079 5.322519 9.4317921 5.1266279 9.6140517.17309428 7.12282562 7.06572023 7.0027531191.111432 202.935184 214.620153 226.127694 5.0875809 9.2037208 4.8854027 9.3927456.95573331 6.90782232 6.85372791 6.7934836193.886299 206.149567 218.212547 230.093523 4.8488324 8.9712637 4.640414 9.16715066.73354343 6.68888817 6.63778885 6.58122968

195.74005 209.132976 221.588697 233.795513 4.6062803 8.7349531 4.3922438 8.937136.49588501 6.46573367 6.4185614 6.36575261197.456637 211.155247 224.685195 237.229838 4.3604967 8.4947918 4.1410481 8.7032066.25541804 6.22780143 6.19583154 6.1477401199.026777 212.991074 226.772641 240.328329 4.1116331 8.2513423 3.8874486 8.46537686.01276053 5.98776088 5.95912296 5.92705004

200.425013 214.628781 228.616872 242.2657 3.8603023 8.0047514 3.6317524 8.2241965.76815342 5.7462584 5.72111403 5.69476892

201.64088 216.037858 230.107721 243.878334 3.6068061 7.7556231 3.3746308 7.97980525.52225399 5.5036082 5.48395757 5.46236913202.648509 217.109718 231.288481 245.159902 3.3518079 7.5042542 3.1165444 7.7328003

5.2754437 5.26196861 5.24682907 5.23038835203.341235 217.891917 232.153958 246.081818 3.095763 7.2513003 2.8582217 7.48347285.02989243 5.02058789 5.01027938 4.99911438203.771202 218.380755 232.680096 246.63937 2.839393 6.9972116 2.6002762 7.23247164.78492566 4.78003589 4.77466427 4.76908661203.936547 218.557031 232.863661 246.809312 2.5833065 6.7427035 2.3434985 6.98024194.54113772 4.54074106 4.54054278 4.54064651203.823162 218.419324 232.686226 246.589756 2.3282887 6.4883802 2.0886502 6.72749374.29903337 4.30328759 4.30832942 4.3143296203.431731 217.954274 232.1477 245.964271 2.0750973 6.2350222 1.8394792 6.47482724.05922678 4.06816678 4.07858558 4.09051865202.754101 217.163882 231.236691 244.935093 1.8274679 5.9833838 1.5945323 6.22301083.82228832 3.83597076 3.85177129 3.86973786201.794575 216.04194 229.957512 243.494094 1.5839529 5.737182 1.3544225 5.97280443.58884457 3.60723915 3.62844219 3.65239698200.552141 214.595054 228.3072 241.64897 1.3451574 5.4949826 1.1198659 5.72791693.35951518 3.38256285 3.40908817 3.43899959199.035807 212.825443 226.295739 239.401328 1.1118046 5.2573924 0.8914559 5.48692143.13492849 3.16251236 3.19424874 3.22996631

197.25282 210.745491 223.929905 236.765628 0.8844905 5.0251363 0.6698951 5.2504272.91573369 2.9476654 2.98442572 3.02576916195.310624 208.366996 221.226562 233.754502 0.6639199 4.7988133 0.4557419 5.01916112.70397195 2.73860309 2.78012997 2.82682202193.150528 205.801705 218.20336 230.390365 0.4506552 4.5791316 0.2496446 4.79372662.49914327 2.53729756 2.58185522 2.63355294190.784502 202.996964 214.977437 226.697924 0.2453489 4.3666582 0.0520987 4.57483592.30168385 2.34316482 2.39148869 2.44635031188.228974 199.970336 211.503372 222.847058 0.0485016 4.1620503 -0.1363387 4.3630612.11208061 2.15655986 2.2083441 2.26628913185.501105 196.745351 207.851588 218.767586 -0.1393244 3.9658142 -0.3152662 4.15906461.93068746 1.97786534 2.03196885 2.09307268182.623724 193.391977 204.020805 214.486981 -0.3177214 3.7785183 -0.4842572 3.96335911.75788131 1.80662889 1.86313212 1.92691585179.665463 189.908312 200.038133 210.040858 -0.4862565 3.6005766 -0.6430369 3.7765191.59319676 1.64361327 1.70204784 1.76802377

176.62257 186.320216 195.938537 205.461399 -0.6446483 3.4324286 -0.7913481 3.59896521.43737189 1.48901828 1.54891581 1.61653751173.518636 182.660779 191.752973 200.788693 -0.7926332 3.2743623 -0.9290761 3.43114351.29057713 1.34301995 1.40386298 1.47258313170.383558 178.958709 187.519678 196.058325 -0.9300894 3.1266483 -1.0561702 3.2733491.15294482 1.20571584 1.26699165 1.33622159167.242691 175.249071 183.272011 191.312859 -1.05696 2.9894146 -1.1741204 3.12585851.02452634 1.07716444 1.13833326 1.20749358

164.126562 171.561892 179.049389 186.589432 -1.1747275 2.8627247 -1.2821116 2.98880750.90531561 0.95735085 1.01788458 1.08637743161.060716 167.932068 174.885633 181.930532 -1.2825718 2.7451038 -1.3803125 2.86226450.79523383 0.84620704 0.90557736 0.97282733158.074187 164.388955 170.818731 177.372445 -1.3806556 2.6373757 -1.4690281 2.74476060.69412754 0.74360057 0.80130075 0.86674159155.190734 160.964691 166.88052 172.954486 -1.4692796 2.5393828 -1.548575 2.63712430.60178268 0.64933483 0.70488859 0.76799319152.435388 157.685528 163.104477 168.709157 -1.5487558 2.4508288 -1.6194095 2.53920190.51789742 0.56316166 0.61612775 0.67640958149.781942 154.577844 159.517529 164.669006 -1.6195368 2.3714054 -1.6819846 2.45070140.44142083 0.48476236 0.53476336 0.59179545147.281112 151.616127 156.145135 160.859342 -1.6820722 2.3006636 -1.7368844 2.37131780.37241164 0.41307908 0.46049417 0.51392403144.949774 148.850161 152.960181 157.301993 -1.736943 2.2381568 -1.7846734 2.3006050.31046702 0.34818739 0.3922903 0.44255275142.801079 146.295206 150.008808 153.926525 -1.7847113 2.1833062 -1.8260262 2.23811890.25510146 0.28971176 0.3302854 0.37732064140.845125 143.960781 147.262951 150.7981 -1.8260497 2.1355519 -1.8615795 2.18328270.20586216 0.23722464 0.27477213 0.31807069139.086218 141.813663 144.751149 147.923514 -1.8615933 2.094223 -1.8920457 2.13553810.16224324 0.19094095 0.22503231 0.26456121137.486428 139.877168 142.47503 145.300211 -1.8920532 2.0586854 -1.9180795 2.09421540.12438859 0.15006402 0.18074645 0.21655389136.064657 138.148207 140.426815 142.923578 -1.9180831 2.0282293 -1.9403623 2.05868180.09143514 0.11420321 0.14159735 0.17382654134.813972 136.614583 138.597166 140.778803 -1.9403638 2.0022015 -1.9594974 2.02822790.06293418 0.08297459 0.10729144 0.13617122133.719042 135.263113 136.966851 138.849501 -1.9594977 1.9799219 -1.9760528 2.00220120.03845442 0.05602631 0.07755387 0.10340364132.764169 134.071419 135.515629 137.10923 -1.9760528 1.9607882 -1.9892987 1.97992190.01760607 0.03303601 0.0521419 0.07536055131.925614 133.016743 134.213908 135.530955 -1.9892985 1.9442333 -2.0003859 1.9607883

4.63111E-05 0.01372285 0.03084463 0.05190428131.179933 132.068126 133.032129 134.078939 -2.0003853 1.930988 -2.0096543 1.9442339-0.0145158 -0.00214462 0.01348617 0.0329189130.497109 131.195329 131.933183 132.718367 -2.0096531 1.9199018 -2.0172979 1.9309891-0.0262969 -0.01475233 -7.0045E-05 0.01830972129.848508 130.362183 130.881579 131.408391 -2.0172962 1.9106346 -2.0234643 1.9199035

-0.03545774 -0.02422208 -0.00992869 0.00799793129.201563 129.534787 129.837407 130.111113 -2.023462 1.9029921 -2.0281307 1.9106369

-0.04206463 -0.03063376 -0.01615391 0.00191628128.565676 128.676823 128.764343 128.786667 -2.0281278 1.8968269 -2.0312272 1.902995

-0.04553186 -0.03399614 -0.01878852 0127.88555 127.795273 127.626112 127.542237 -2.0312239 1.8921615 -2.032509 1.8968302

-0.04616006 -0.03368642 -0.017842 0127.133355 126.834882 126.573194 126.465572 -2.0325054 1.8890657 -2.031697 1.8921651

-0.04386169 -0.03000587 -0.01489774 0

126.284941 125.911317 125.674364 125.604163 -2.0316933 1.8877843 -2.0283571 1.8890695-0.03845982 -0.02507306 -0.01216377 0125.462233 125.124454 124.9423 124.883162 -2.0283534 1.8885964 -2.0220482 1.887788

-0.03197666 -0.02061779 -0.01017525 0124.772164 124.493239 124.333263 124.280443 -2.0220449 1.8919359 -2.0122211 1.8885997

-0.02603347 -0.0170789 -0.00845397 0124.240748 123.980988 123.831388 123.783368 -2.0122184 1.8982438 -1.9983602 1.8919386-0.0209604 -0.01386969 -0.00690362 0123.838527 123.578907 123.431097 123.382336 -1.9983584 1.9080695 -1.9799174 1.8982456

-0.01605969 -0.01078515 -0.0054157 0123.56352 123.288641 123.129857 123.078827 -1.9799164 1.9219286 -1.9607883 1.9080705

-0.01102162 -0.00760574 -0.00388152 0123.423529 123.114473 122.936373 122.877379 -1.960788 1.9403698 -1.9442377 1.9219289

-0.00553198 -0.00411803 -0.00219004 0123.428104 123.071261 122.861995 122.793919 -1.9442377 1.9594979 -1.9309958 1.94036980.00070364 -0.00011631 -0.00023651 0123.595861 123.175626 122.928807 122.846611 -1.930996 1.976048 -1.9199121 1.95949780.00794872 0.00458515 0.00207372 0123.945844 123.453406 123.160241 123.063695 -1.9199127 1.9892893 -1.9106468 1.97604740.01642621 0.01013873 0.00482165 0124.503852 123.930454 123.588291 123.473871 -1.9106479 2.0003721 -1.9030058 1.98928820.02628786 0.01666263 0.00806497 0125.152261 124.638722 124.244076 124.112884 -1.9030076 2.0096362 -1.8968417 2.00037030.03544609 0.0242139 0.01184089 0125.799005 125.465857 125.163301 125.014276 -1.8968441 2.0172759 -1.8921772 2.00963380.04205127 0.03062404 0.01614877 0126.434683 126.323548 126.236034 126.213706 -1.8921801 2.0234389 -1.889082 2.0172730.04551776 0.03398582 0.01878291 0127.114579 127.204819 127.373925 127.457775 -1.8890853 2.0281024 -1.8878007 2.02343550.04614603 0.03367643 0.01783682 0127.866523 128.164913 128.426533 128.534128 -1.8878043 2.0311969 -1.8886123 2.02809880.04384842 0.02999698 0.01489336 0128.714666 129.088197 129.325095 129.39528 -1.8886161 2.0324778 -1.8919509 2.03119310.03844803 0.0250654 0.01216006 0129.537117 129.874816 130.056929 130.116054 -1.8919546 2.031666 -1.8982573 2.03247410.03196649 0.02061118 0.01017198 0130.226971 130.505827 130.665765 130.718573 -1.8982606 2.0283279 -1.9080809 2.03166280.02602478 0.01707311 0.00845107 0130.758216 131.017906 131.167464 131.215473 -1.9080835 2.0220225 -1.9219371 2.02832530.02095305 0.01386471 0.00690111 0131.160307 131.419844 131.567609 131.616353 -1.9219389 2.0122004 -1.9403743 2.02202060.01605381 0.01078108 0.00541362 0131.435225 131.710005 131.868731 131.919743 -1.9403752 1.9983459 -1.9594978 2.01219940.01101745 0.00760275 0.00387996 0131.575173 131.884109 132.062138 132.121107 -1.9594981 1.9799104 -1.9760435 1.99834560.00552986 0.00411637 0.00218913 0131.570603 131.927306 132.136485 132.204532 -1.9760436 1.9607878 -1.9892815 1.9799104

-0.00070337 0.00011627 0.00023641 0

131.402903 131.822979 132.0697 132.151863 -1.9892814 1.9442425 -2.0003618 1.960788-0.00794573 -0.00458331 -0.00207286 0131.053028 131.545299 131.838358 131.934869 -2.0003612 1.9310052 -2.009624 1.9442431

-0.01642028 -0.01013483 -0.00481972 0130.495187 131.068412 131.41047 131.524854 -2.0096229 1.9199259 -2.0172622 1.9310063

-0.02627883 -0.01665659 -0.00806194 0

Numero de Nudo

Cn3 Cp4 Cn4 Cp5 Cn5 Cp6 Cn6 Cp7 Cn7

8.4606016 11.992608 8.5382575 11.914952 8.6159134 11.837296 8.6935694 11.75964 8.7712253

8.4606016 11.992608 8.5382575 11.914952 8.6159134 11.837296 8.6935694 11.75964 8.7712253

8.4606016 11.992608 8.5382575 11.914952 8.6159134 11.837296 8.6935694 11.75964 8.6615062

8.4606016 11.992608 8.5382575 11.914952 8.6159134 11.837296 8.584678 11.75964 8.5468585

8.4606016 11.992608 8.5382575 11.914952 8.5078437 11.837296 8.4708906 11.760462 8.4275108

8.4606016 11.992608 8.4310031 11.914952 8.39491 11.838111 8.3524271 11.761316 8.3028161

8.3541564 11.992608 8.318917 11.915761 8.2773244 11.838959 8.2286508 11.763009 8.1729571

8.2429115 11.993411 8.2022027 11.916602 8.1544598 11.84064 8.0997363 11.764768 8.0373113

8.1270622 11.994246 8.0802432 11.918271 8.0264831 11.842386 7.9650706 11.767386 7.896017

8.0060013 11.995902 7.9531977 11.920004 7.8927907 11.844985 7.8247846 11.770106 7.7484789

7.8798804 11.997623 7.8204719 11.922584 7.7535061 11.847685 7.6782919 11.773707 7.5947935

7.7481143 11.897656 7.6821818 11.925265 7.6080517 11.85126 7.5256817 11.777445 7.4343962

7.6115536 11.793117 7.5377587 11.827028 7.4565097 11.854972 7.3663979 11.782088 7.2673446

7.4689152 11.68491 7.3880029 11.724273 7.2983321 11.758521 7.2004911 11.786906 7.0931098

7.3209845 11.571746 7.2316668 11.617892 7.1342707 11.657608 7.0274402 11.692301 6.9117148

7.1665289 11.454466 7.0694875 11.506608 6.9631198 11.553108 6.8479511 11.593288 6.7226721

7.0062714 11.331819 6.9002733 11.39125 6.7855711 11.443762 6.6608677 11.490728 6.5266459

6.8390336 11.204582 6.7247021 11.270579 6.6004813 11.330381 6.4668402 11.383375 6.3225385

6.6654797 11.071544 6.5416429 11.145359 6.408487 11.211741 6.2647825 11.272028 6.0869916

6.4844903 10.93342 6.3517189 11.014391 6.2085134 11.088591 6.0314766 11.155471 5.8466044

6.2966754 10.789042 6.1538656 10.878377 5.9774794 10.959743 5.793349 11.034594 5.6018456

6.1009802 10.639065 5.925136 10.736157 5.7416419 10.826033 5.5508561 10.908036 5.3527214

5.8745884 10.482364 5.6916202 10.588517 5.5014452 10.686135 5.3040088 10.776623 5.0997201

5.6434261 10.319679 5.4537505 10.43417 5.256904 10.540823 5.0532835 10.63903 4.8429929

5.4079139 10.149767 5.2115448 10.273843 5.0084832 10.388811 4.7988342 10.496022 4.583059

5.1680721 9.9733095 4.9654564 10.106294 4.7563389 10.230816 4.541169 10.346316 4.3202199

4.9243424 9.7891204 4.7156429 9.9321955 4.500968 10.065598 4.2805907 10.190615 4.0550365

4.6768832 9.5751112 4.4625899 9.7503606 4.2426738 9.8938174 4.0176492 10.027681 3.7879637

4.4262861 9.3562759 4.2066007 9.5388074 3.9819954 9.7142874 3.7527994 9.8581636 3.5196127

4.1727113 9.1331083 3.9483159 9.3223865 3.719387 9.505128 3.486642 9.6808751 3.2505923

3.9167898 8.9054668 3.6880518 9.1015822 3.4555466 9.2910512 3.2197848 9.4740325 2.9815703

3.6588335 8.6738648 3.4264969 8.8762485 3.190949 9.0725326 2.9529885 9.2622154 2.7133064

3.3995222 8.4382957 3.1641219 8.6468901 2.9263464 8.8494215 2.6868854 9.0458905 2.4466263

3.1393216 8.1993046 2.9016707 8.4134954 2.6623669 8.6222144 2.4222936 8.824903 2.1823134

2.8789678 7.9570279 2.6397665 8.1766016 2.399821 8.390895 2.1599924 8.5997418 1.9241954

2.619079 7.7120542 2.3792129 7.9363403 2.1394837 8.1559935 1.9037913 8.3703863 1.6707894

2.3604521 7.46467 2.1207802 7.6932934 1.8851474 7.9176369 1.6522144 8.1373496 1.4227222

2.103853 7.2155179 1.868245 7.4477428 1.6353423 7.6763909 1.4058845 7.9007648 1.1807173

1.8530433 6.9650391 1.6201428 7.2003163 1.3906878 7.4325434 1.1655233 7.6611942 0.9453809

1.6065641 6.7139296 1.3770906 6.9514604 1.1519038 7.1867191 0.9317344 7.4189239 0.7174096

1.3650301 6.4627954 1.1398064 6.7018691 0.919592 6.939363 0.7052136 7.1745767 0.4973649

1.129158 6.2124032 0.9088907 6.452147 0.6944473 6.6911678 0.4865213 6.9285967 0.2858816

0.8995479 5.9635123 0.685038 6.2030603 0.4770299 6.4427377 0.2762927 6.6816764 0.0834493

0.6768945 5.7198249 0.4688089 5.9553687 0.2679756 6.1948393 0.0750176 6.4344205 -0.1093958

0.4617531 5.4799221 0.2608404 5.712769 0.0677753 5.9482335 -0.1167661 6.1875971 -0.2922663

0.2547688 5.2444158 0.0616194 5.4738505 -0.123031 5.7066131 -0.2986692 5.9419686 -0.4647624

0.0564326 5.0140369 -0.1283058 5.239229 -0.3040571 5.4685758 -0.4702892 5.7012251 -0.62663

-0.1327034 4.7893928 -0.3085442 5.0096393 -0.4748918 5.2347419 -0.6313742 5.4639732 -0.7776436

-0.3122432 4.5712005 -0.4786803 4.7856938 -0.6352782 5.0058508 -0.7816896 5.2308378 -0.9177181

-0.4817659 4.3600379 -0.6384517 4.5681149 -0.7849769 4.7825203 -0.9211454 5.0025635 -1.0468328

-0.6410033 4.1565733 -0.7876136 4.3574863 -0.9238923 4.5654782 -1.0497156 4.7797734 -1.1665156

-0.7897046 3.9613256 -0.9260643 4.1544823 -1.0519928 4.3553143 -1.1689208 4.563201 -1.2759745

-0.9277615 3.7748755 -1.0537661 3.9596283 -1.1707913 4.152709 -1.2779652 4.3534438 -1.3754073

-1.0551302 3.5976506 -1.1722242 3.7735114 -1.2794878 3.9581954 -1.3770412 4.1511865 -1.4651466

-1.173308 3.4301035 -1.2806337 3.5965669 -1.3782686 3.7723654 -1.4664758 3.956968 -1.5455363

-1.2814849 3.2725365 -1.3791751 3.4292523 -1.4674554 3.5956603 -1.5466076 3.7713859 -1.617057

-1.3798356 3.1252318 -1.4681644 3.271876 -1.5473811 3.4285432 -1.617912 3.5948868 -1.6801851

-1.4686703 2.9883306 -1.547929 3.1247259 -1.618516 3.2713282 -1.6808605 3.4279393 -1.7355252

-1.5483112 2.8619067 -1.6189339 2.9879484 -1.6813265 3.124308 -1.7360529 3.2708621 -1.783661

-1.6192186 2.7444969 -1.6816411 2.8616221 -1.7364079 2.9876338 -1.7840685 3.1239529 -1.8252832

-1.6818492 2.6369334 -1.7366412 2.7442888 -1.7843353 2.8613888 -1.825594 2.987367 -1.8610436

-1.7367905 2.5390665 -1.7845051 2.636784 -1.8257916 2.744119 -1.8612774 2.8611911 -1.8916664

-1.78461 2.4506075 -1.8259128 2.5389616 -1.8614209 2.6366629 -1.8918396 2.7439754 -1.9178173

-1.8259847 2.3712544 -1.8615055 2.4505356 -1.8919418 2.538877 -1.917943 2.6365607 -1.9401859

-1.8615534 2.3005635 -1.8919993 2.3712065 -1.918014 2.4504782 -1.9402752 2.538806 -1.9593825

-1.89203 2.2380927 -1.9180519 2.3005328 -1.9403232 2.3711687 -1.9594443 2.4504302 -1.9759809

-1.9180707 2.1832671 -1.9403471 2.2380739 -1.9594756 2.3005089 -1.9760224 2.3711374 -1.9892555

-1.940358 2.1355294 -1.9594899 2.1832562 -1.9760418 2.2380596 -1.9892824 2.3004895 -2.0003614

-1.9594956 2.0942111 -1.9760497 2.1355237 -1.9892938 2.1832483 -2.000378 2.2380482 -2.0096418

-1.9760523 2.0586799 -1.9892977 2.0942085 -2.0003842 2.1355197 -2.0096514 2.1832421 -2.017293

-1.9892986 2.0282274 -2.0003858 2.0586791 -2.0096543 2.0942069 -2.017298 2.1355168 -2.0234642

-2.0003859 2.0022011 -2.0096547 2.0282272 -2.0172991 2.0586786 -2.0234665 2.0942058 -2.0281338

-2.0096547 1.9799219 -2.0172991 2.0022011 -2.0234667 2.0282272 -2.0281346 2.0586784 -2.0312327

-2.0172989 1.9607888 -2.0234666 1.9799222 -2.0281346 2.0022012 -2.0312328 2.0282272 -2.0325164

-2.0234659 1.9442349 -2.0281341 1.9607895 -2.0312327 1.9799226 -2.0325164 2.0022014 -2.031706

-2.0281328 1.9309907 -2.0312317 1.9442362 -2.0325159 1.9607904 -2.0317059 1.9799231 -2.0283673

-2.0312299 1.9199057 -2.0325145 1.9309926 -2.031705 1.9442376 -2.0283669 1.9607913 -2.0220589

-2.0325121 1.9106396 -2.0317031 1.919908 -2.0283655 1.9309944 -2.0220582 1.9442389 -2.0122312

-2.0317004 1.9029981 -2.0283634 1.9106423 -2.0220566 1.9199102 -2.0122303 1.930996 -1.9983688

-2.0283605 1.8968335 -2.0220543 1.903001 -2.0122288 1.9106446 -1.998368 1.9199118 -1.9799235

-2.0220515 1.8921686 -2.0122266 1.8968364 -1.9983665 1.9030032 -1.9799229 1.910646 -1.9607921

-2.0122239 1.8890727 -1.9983646 1.8921712 -1.9799218 1.8968383 -1.9607917 1.9030043 -1.9442399

-1.9983624 1.8877908 -1.9799203 1.8890749 -1.9607909 1.8921726 -1.9442396 1.8968391 -1.9309969

-1.9799188 1.8886019 -1.96079 1.8877924 -1.9442391 1.8890759 -1.9309967 1.8921731 -1.9199125

-1.960789 1.89194 -1.9442385 1.8886028 -1.9309964 1.887793 -1.9199124 1.8890762 -1.9106465

-1.944238 1.8982464 -1.930996 1.8919405 -1.9199122 1.8886032 -1.9106464 1.8877932 -1.9030046

-1.9309958 1.9080707 -1.919912 1.8982466 -1.9106463 1.8919406 -1.9030046 1.8886033 -1.8968393

-1.919912 1.9219289 -1.9106463 1.9080707 -1.9030046 1.8982466 -1.8968393 1.8919407 -1.8921733

-1.9106463 1.9403697 -1.9030046 1.9219289 -1.8968393 1.9080707 -1.8921733 1.8982466 -1.8890763

-1.9030048 1.9594973 -1.8968394 1.9403695 -1.8921733 1.9219287 -1.8890763 1.9080707 -1.8877932

-1.8968402 1.9760464 -1.8921738 1.9594966 -1.8890765 1.940369 -1.8877933 1.9219285 -1.8886033

-1.8921751 1.9892866 -1.8890774 1.9760451 -1.8877938 1.9594957 -1.8886035 1.9403685 -1.8919407

-1.8890793 2.0003681 -1.8877952 1.9892847 -1.8886044 1.9760437 -1.8919411 1.9594948 -1.8982467

-1.8877976 2.0096312 -1.8886063 2.0003658 -1.8919424 1.9892829 -1.8982474 1.9760424 -1.9080707

-1.888609 2.0172699 -1.8919446 2.0096285 -1.8982489 2.0003636 -1.9080716 1.9892814 -1.9219285

-1.8919475 2.0234322 -1.8982512 2.0172671 -1.9080732 2.0096262 -1.9219293 2.0003621 -1.9403681

-1.8982541 2.0280954 -1.9080754 2.0234293 -1.9219308 2.0172649 -1.9403688 2.0096248 -1.959494

-1.908078 2.0311899 -1.9219327 2.0280927 -1.9403699 2.0234274 -1.9594944 2.0172638 -1.9760414

-1.9219349 2.0324713 -1.9403713 2.0311877 -1.9594952 2.0280913 -1.9760417 2.0234267 -1.9892804

-1.9403729 2.0316605 -1.9594961 2.0324697 -1.9760422 2.0311867 -1.9892806 2.0280908 -2.0003614

-1.9594971 2.0283238 -1.9760428 2.0316596 -1.989281 2.0324691 -2.0003615 2.0311864 -2.0096243

-1.9760433 2.0220199 -1.9892813 2.0283233 -2.0003617 2.0316593 -2.0096243 2.0324689 -2.0172634

-1.9892815 2.0121992 -2.0003618 2.0220197 -2.0096244 2.0283232 -2.0172635 2.0316592 -2.0234264

-2.0003619 1.9983456 -2.0096245 2.0121992 -2.0172635 2.0220197 -2.0234264 2.0283232 -2.0280906

-2.0096244 1.9799104 -2.0172635 1.9983456 -2.0234264 2.0121992 -2.0280906 2.0220197 -2.0311863

-2.0172632 1.9607884 -2.0234263 1.9799107 -2.0280906 1.9983458 -2.0311863 2.0121992 -2.0324689

-2.0234256 1.9442441 -2.0280902 1.9607891 -2.0311861 1.9799111 -2.0324688 1.998346 -2.0316591

Cp8 Cn8 Cp9 tau Cv91 39.3529972

11.681984 8.8488812 11.604328 0.97451149 37.3724645

11.681984 8.738328 11.604328 0.94935201 35.4676458

11.681984 8.6228137 11.605162 0.92452157 33.6365863

11.682812 8.5025752 11.606029 0.90002018 31.8773569

11.683672 8.3769555 11.607748 0.87584782 30.188054

11.685378 8.2461453 11.609533 0.8520045 28.5667997

11.68715 8.1095124 11.61219 0.82849022 27.0117415

11.689788 7.9672029 11.614949 0.80530498 25.5210525

11.692527 7.8186124 11.618602 0.78244877 24.0929314

11.696154 7.6638446 11.622394 0.75992161 22.7256025

11.699919 7.5023265 11.627103 0.73772349 21.4173156

11.704595 7.3341229 11.631989 0.7158544 20.166346

11.709447 7.1586969 11.637817 0.69431436 18.9709948

11.715235 6.9760783 11.64386 0.67310335 17.8295884

11.721237 6.7857726 11.650871 0.65222138 16.740479

11.628537 6.5877797 11.658136 0.63166845 15.702044

11.531483 6.3816543 11.567403 0.61144456 14.7126869

11.430923 6.1438954 11.472368 0.59154971 13.7708362

11.325619 5.9012776 11.374019 0.5719839 12.8749464

11.216513 5.6542818 11.270946 0.55274713 12.0234972

11.102216 5.4029092 11.164077 0.5338394 11.2149943

10.983604 5.14766 11.052028 0.5152607 10.4479686

10.859323 4.8886818 10.935665 0.49701105 9.72097668

10.730186 4.6265056 10.813635 0.47909043 9.03260069

10.594872 4.3614305 10.686739 0.46149886 8.38144834

10.454132 4.0940286 10.553661 0.44423632 7.76615291

10.306686 3.824754 10.41514 0.42730282 7.18537324

10.153227 3.5542285 10.269896 0.41069836 6.63779373

9.9925166 3.2830611 10.118612 0.39442294 6.12212435

9.8251929 3.0119299 9.9600477 0.37847656 5.63710062

9.6500676 2.7415955 9.7948334 0.36285922 5.18148364

9.4454507 2.4727952 9.6217785 0.34757091 4.75406007

9.2357944 2.2064336 9.4192819 0.33261165 4.35364212

9.0215578 1.9463574 9.2116742 0.31798142 3.97906758

8.8025819 1.6910762 8.9993958 0.30368024 3.6291998

8.5793378 1.441221 8.7822951 0.28970809 3.30292768

8.3518113 1.1975172 8.5608389 0.27606498 2.99916572

8.1205119 0.9605737 8.3350115 0.26275092 2.71685393

7.8855707 0.7310881 8.1053192 0.24976589 2.45495793

7.6475478 0.5096234 7.8718922 0.2371099 2.21246888

7.4067279 0.2968147 7.6352892 0.22478294 1.98840352

7.1637331 0.0931512 7.3957949 0.21278503 1.78180414

6.9190078 -0.1008314 7.1540311 0.20111616 1.59173858

6.6732448 -0.2847473 6.9104434 0.18977632 1.41730029

6.4270502 -0.4581988 6.6657258 0.17876553 1.25760823

6.1811942 -0.6209342 6.4204866 0.16808377 1.11180697

5.9364417 -0.7727313 6.1754984 0.15773106 0.97906661

5.6964809 -0.9135035 5.9315294 0.14770738 0.85858282

5.4599272 -1.043239 5.6922663 0.13801274 0.74957686

5.2274106 -1.1634729 5.4563334 0.12864714 0.65129551

4.9996807 -1.2734164 5.224368 0.11961058 0.56301116

4.7773681 -1.3732724 4.9971226 0.11090306 0.48402173

4.5612103 -1.4633786 4.7752333 0.10252458 0.41365071

4.35181 -1.544084 4.5594423 0.09447513 0.35124717

4.1498573 -1.615874 4.3503576 0.08675473 0.29618572

3.9558967 -1.6792302 4.1486744 0.07936336 0.24786656

3.7705308 -1.7347617 3.9549418 0.07230104 0.20571543

3.5942114 -1.7830567 3.7697673 0.06556775 0.16918365

3.4274116 -1.8248101 3.5936071 0.0591635 0.13774808

3.2704547 -1.8606775 3.4269384 0.05308829 0.11091119

3.1236422 -1.8913867 3.2700885 0.04734212 0.08820096

2.9871332 -1.9176065 3.1233624 0.04192499 0.06917096

2.861018 -1.9400296 2.9869225 0.0368369 0.05340034

2.7438497 -1.9592691 2.8608617 0.03207785 0.04049378

2.6364713 -1.9759005 2.7437363 0.02764784 0.03008154

2.5387442 -1.9891999 2.6363909 0.02354686 0.02181945

2.4503887 -2.0003241 2.5386885 0.01977493 0.0153889

2.3711106 -2.0096177 2.4503514 0.01633203 0.01049683

2.3004729 -2.0172782 2.3710865 0.01321817 0.00687576

2.2380386 -2.0234557 2.3004581 0.01043336 0.00428377

2.1832371 -2.0281293 2.2380301 0.00797758 0.00250449

2.1355145 -2.0312307 2.1832326 0.00585084 0.00134714

2.094205 -2.0325157 2.1355125 0.00405314 0.00064649

2.0586782 -2.0317059 2.0942043 0.00258447 0.00026286

2.0282272 -2.0283673 2.0586781 0.00144485 8.21532E-05

2.0022015 -2.0220589 2.0282272 0.00063427 1.58316E-05

1.9799236 -2.0122314 2.0022016 0.00015272 9.17901E-07

1.960792 -1.9983691 1.9799237 0 0

1.9442398 -1.9799237 1.9607923 0 0

1.9309968 -1.9607923 1.94424 0 0

1.9199124 -1.94424 1.930997 0 0

1.9106465 -1.930997 1.9199126 0 0

1.9030046 -1.9199126 1.9106465 0 0

1.8968393 -1.9106465 1.9030047 0 0

1.8921733 -1.9030047 1.8968393 0 0

1.8890763 -1.8968393 1.8921733 0 0

1.8877932 -1.8921733 1.8890763 0 0

1.8886033 -1.8890763 1.8877932 0 0

1.8919407 -1.8877932 1.8886033 0 0

1.8982466 -1.8886033 1.8919407 0 0

1.9080706 -1.8919407 1.8982466 0 0

1.9219283 -1.8982466 1.9080705 0 0

1.9403681 -1.9080705 1.9219282 0 0

1.9594941 -1.9219282 1.9403679 0 0

1.9760415 -1.9403679 1.9594938 0 0

1.9892805 -1.9594938 1.9760413 0 0

2.0003614 -1.9760413 1.9892804 0 0

2.0096243 -1.9892804 2.0003613 0 0

2.0172635 -2.0003613 2.0096242 0 0

2.0234264 -2.0096242 2.0172634 0 0

2.0280906 -2.0172634 2.0234264 0 0

2.0311863 -2.0234264 2.0280906 0 0

2.0324689 -2.0280906 2.0311863 0 0

2.0316592 -2.0311863 2.0324689 0 0

2.0283232 -2.0324689 2.0316592 0 0

2.0220197 -2.0316592 2.0283232 0 0

2.0121993 -2.0283232 2.0220197 0 0

Tiempo Nudo 1 Nudo 2 Nudo 3 Nudo 4 Nudo 5 Nudo 60.00 H = 127.5 122.448772 117.397543 112.346315 107.295086 102.2438580.38 H = 127.5 122.448772 117.397543 112.346315 107.295086 102.2438580.77 H = 127.5 122.448772 117.397543 112.346315 107.295086 102.2438581.15 H = 127.5 122.448772 117.397543 112.346315 107.295086 102.2438581.54 H = 127.5 122.448772 117.397543 112.346315 107.295086 105.7853461.92 H = 127.5 122.448772 117.397543 112.346315 110.809854 109.4860712.31 H = 127.5 122.448772 117.397543 115.834564 114.48281 113.3653922.69 H = 127.5 122.448772 120.859474 119.479958 118.333384 117.418553.08 H = 127.5 125.884581 124.47751 123.301993 122.356685 121.6659123.46 H = 127.5 129.475464 128.271216 127.295652 126.573141 126.1024593.85 H = 127.5 129.85676 132.235447 131.481422 130.977616 130.7495364.23 H = 127.5 130.254176 133.031585 135.854049 135.591509 135.6017544.62 H = 127.5 130.668838 133.860807 137.100454 140.409324 140.6813835.00 H = 127.5 131.100466 134.725382 138.397605 142.142968 145.9825175.39 H = 127.5 131.550205 135.624593 139.748903 143.945503 148.2414425.77 H = 127.5 132.017619 136.560718 141.152999 145.821421 150.5875936.16 H = 127.5 132.503841 137.532691 142.61326 147.768502 153.0264786.54 H = 127.5 133.008245 138.542739 144.12776 149.791127 155.5547226.93 H = 127.5 133.531924 139.589379 145.69974 151.88623 158.1776067.31 H = 127.5 134.074024 140.674721 147.326586 154.05795 160.8905987.70 H = 127.5 134.635563 141.796784 149.011308 156.302221 164.4732358.08 H = 127.5 135.215418 142.957489 150.750485 159.392565 168.0273528.47 H = 127.5 135.814492 144.154277 153.311762 162.437293 171.5653218.85 H = 127.5 136.431352 146.149108 155.810031 165.447548 175.0436329.24 H = 127.5 137.822503 148.06358 158.25527 168.380941 178.4719939.62 H = 127.5 139.116425 149.906618 160.606466 171.246012 181.803585

10.00 H = 127.5 139.574086 151.638885 162.871098 173.997322 185.04516710.39 H = 127.5 140.017449 152.52404 165.005407 176.640564 188.14658510.77 H = 127.5 140.445258 153.374627 166.275238 179.127258 191.11143211.16 H = 127.5 140.852821 154.18779 167.483599 180.724967 193.88629911.54 H = 127.5 141.238536 154.953847 168.625718 182.227127 195.7400511.93 H = 127.5 141.597409 155.669276 169.686709 183.626796 197.45663712.31 H = 127.5 141.927519 156.323873 170.66087 184.903782 199.02677712.70 H = 127.5 142.223652 156.913532 171.532682 186.050032 200.42501313.08 H = 127.5 142.483619 157.427714 172.295677 187.044747 201.6408813.47 H = 127.5 142.702093 157.861864 172.934026 187.879033 202.64850913.85 H = 127.5 142.876702 158.205353 173.440733 188.531971 203.34123514.24 H = 127.5 143.002138 158.453361 173.800067 188.899134 203.77120214.62 H = 127.5 143.075952 158.595468 173.910098 189.037507 203.93654715.01 H = 127.5 143.093025 158.532424 173.832799 188.94735 203.82316215.39 H = 127.5 142.95685 158.331194 173.570752 188.61978 203.43173115.78 H = 127.5 142.739225 157.996778 173.120305 188.057798 202.75410116.16 H = 127.5 142.541093 157.530582 172.486869 187.258461 201.79457516.55 H = 127.5 142.292528 157.033712 171.672548 186.228478 200.55214116.93 H = 127.5 141.993957 156.437172 170.779517 184.971873 199.03580717.32 H = 127.5 141.646113 155.742703 169.740916 183.59291 197.2528217.70 H = 127.5 141.250311 154.95299 168.560803 182.028152 195.310624

18.09 H = 127.5 140.808504 154.071669 167.245121 180.285059 193.15052818.47 H = 127.5 140.323013 153.10395 165.800909 178.374163 190.78450218.85 H = 127.5 139.797098 152.055564 164.237973 176.307021 188.22897419.24 H = 127.5 139.234172 150.934371 162.56657 174.099344 185.50110519.62 H = 127.5 138.638837 149.748316 160.800474 171.767006 182.62372420.01 H = 127.5 138.015629 148.507921 158.953254 169.330909 179.66546320.39 H = 127.5 137.370473 147.223358 157.042577 166.857346 176.6225720.78 H = 127.5 136.709007 145.9077 155.131298 164.339389 173.51863621.16 H = 127.5 136.038384 144.619237 153.207955 161.79726 170.38355821.55 H = 127.5 135.411226 143.340637 151.288259 159.2563 167.24269121.93 H = 127.5 134.803084 142.081983 149.391659 156.737367 164.12656222.32 H = 127.5 134.171483 140.85559 147.533398 154.265112 161.06071622.70 H = 127.5 133.553139 139.62417 145.730999 151.859472 158.07418723.09 H = 127.5 132.953215 138.429626 143.951896 149.542365 155.19073423.47 H = 127.5 132.376921 137.281828 142.24237 147.285068 152.43538823.86 H = 127.5 131.828961 136.190379 140.616118 145.136965 149.78194224.24 H = 127.5 131.313731 135.163814 139.085861 143.11425 147.28111224.63 H = 127.5 130.835062 134.209647 137.662635 141.230994 144.94977425.01 H = 127.5 130.396071 133.334207 136.3553 139.498912 142.80107925.40 H = 127.5 129.999257 132.54196 135.170866 137.925945 140.84512525.78 H = 127.5 129.645966 131.83608 134.112874 136.517481 139.08621826.17 H = 127.5 129.336873 131.216988 133.182876 135.273424 137.48642826.55 H = 127.5 129.071053 130.683737 132.377654 134.152008 136.06465726.94 H = 127.5 128.84688 130.231756 131.652938 133.169004 134.81397227.32 H = 127.5 128.66071 129.8161 131.023143 132.314967 133.71904227.71 H = 127.5 128.46922 129.452101 130.478142 131.573212 132.76416928.09 H = 127.5 128.291395 129.131268 130.002173 130.927352 131.92561428.47 H = 127.5 128.162053 128.841478 129.580489 130.354584 131.17993328.86 H = 127.5 128.05009 128.611288 129.193906 129.833088 130.49710929.24 H = 127.5 127.949242 128.402533 128.863909 129.336457 129.84850829.63 H = 127.5 127.852451 128.201879 128.545108 128.879359 129.20156330.01 H = 127.5 127.752646 127.995043 128.217356 128.410248 128.56567630.40 H = 127.5 127.642603 127.768143 127.860213 127.903711 127.8855530.78 H = 127.5 127.515509 127.507796 127.454533 127.335559 127.13335531.17 H = 127.5 127.365208 127.201927 126.983182 126.684225 126.28494131.55 H = 127.5 127.186434 126.840626 126.431663 125.932615 125.46223331.94 H = 127.5 126.975436 126.416206 125.790105 125.209719 124.77216432.32 H = 127.5 126.729791 125.924951 125.194303 124.629689 124.24074832.71 H = 127.5 126.449534 125.507917 124.764563 124.225353 123.83852733.09 H = 127.5 126.278137 125.28916 124.53898 123.973411 123.5635233.48 H = 127.5 126.339627 125.309202 124.498011 123.87715 123.42352933.86 H = 127.5 126.531065 125.548478 124.647372 123.948129 123.42810434.25 H = 127.5 126.708847 125.869231 124.998593 124.198325 123.59586134.63 H = 127.5 126.83816 126.158952 125.420173 124.646319 123.94584435.02 H = 127.5 126.950098 126.389089 125.806659 125.167675 124.50385235.40 H = 127.5 127.050921 126.597791 126.136569 125.664167 125.15226135.79 H = 127.5 127.147684 126.798386 126.455275 126.121125 125.79900536.17 H = 127.5 127.247456 127.005151 126.782916 126.590079 126.434683

36.56 H = 127.5 127.357456 127.231965 127.139925 127.096435 127.11457936.94 H = 127.5 127.484497 127.492207 127.54545 127.664382 127.86652337.33 H = 127.5 127.634736 127.797954 128.016624 128.31549 128.71466637.71 H = 127.5 127.81344 128.159121 128.567951 129.066857 129.53711738.09 H = 127.5 128.024367 128.583402 129.209308 129.78953 130.22697138.48 H = 127.5 128.269942 129.074517 129.80494 130.369387 130.75821638.86 H = 127.5 128.550132 129.491451 130.234569 130.773605 131.16030739.25 H = 127.5 128.721498 129.710169 130.460104 131.025479 131.43522539.63 H = 127.5 128.660036 129.690148 130.501076 131.12172 131.57517340.02 H = 127.5 128.468651 129.450944 130.351765 131.05077 131.57060340.40 H = 127.5 128.290911 129.130271 130.00064 130.800649 131.40290340.79 H = 127.5 128.161627 128.840618 129.579166 130.35278 131.05302841.17 H = 127.5 128.049714 128.610535 129.192776 129.831562 130.495187

0.00 2.69 5.39 8.08 10.77 13.47 16.16 18.85 21.55 24.24 26.94 29.63 32.32 35.02 37.71 40.400

50

100

150

200

250

300

Altura Piezometrica ValvulaAltura Piezometrica DepositoAltura Piezometrica Punto Medio

Nudo 7 Nudo 8 Nudo 997.1926293 92.1414009 87.090172497.1926293 92.1414009 90.713040697.1926293 95.7369371 94.4983285100.761039 99.4938266 98.4651681104.489742 103.431279 102.609208108.398022 107.544806 106.950613112.481255 111.85464 111.484735116.759742 116.356009 116.232744121.228587 121.070144 121.189575125.909078 125.991868 126.377346130.795931 131.143353 131.790429

135.91137 136.518877 137.4518141.249578 142.141464 143.355086146.833626 148.004665 149.523996

152.65699 154.132233 155.951198155.479658 160.516778 162.66097158.407706 163.941249 169.644765161.447536 167.488603 174.497583164.594294 171.950713 179.369093168.633647 176.416616 184.275423172.661014 180.901204 189.170858176.690023 185.359342 194.068854180.676267 189.803226 198.919821184.630681 194.184005 203.734184188.505323 198.510839 208.458363192.308122 202.731066 213.099443195.987544 206.850533 217.599842199.548257 210.812785 221.963079202.935184 214.620153 226.127694206.149567 218.212547 230.093523209.132976 221.588697 233.795513211.155247 224.685195 237.229838212.991074 226.772641 240.328329214.628781 228.616872 242.2657216.037858 230.107721 243.878334217.109718 231.288481 245.159902217.891917 232.153958 246.081818218.380755 232.680096 246.63937218.557031 232.863661 246.809312218.419324 232.686226 246.589756217.954274 232.1477 245.964271217.163882 231.236691 244.935093

216.04194 229.957512 243.494094214.595054 228.3072 241.64897212.825443 226.295739 239.401328210.745491 223.929905 236.765628208.366996 221.226562 233.754502

205.801705 218.20336 230.390365202.996964 214.977437 226.697924199.970336 211.503372 222.847058196.745351 207.851588 218.767586193.391977 204.020805 214.486981189.908312 200.038133 210.040858186.320216 195.938537 205.461399182.660779 191.752973 200.788693178.958709 187.519678 196.058325175.249071 183.272011 191.312859171.561892 179.049389 186.589432167.932068 174.885633 181.930532164.388955 170.818731 177.372445160.964691 166.88052 172.954486157.685528 163.104477 168.709157154.577844 159.517529 164.669006151.616127 156.145135 160.859342148.850161 152.960181 157.301993146.295206 150.008808 153.926525143.960781 147.262951 150.7981141.813663 144.751149 147.923514139.877168 142.47503 145.300211138.148207 140.426815 142.923578136.614583 138.597166 140.778803135.263113 136.966851 138.849501134.071419 135.515629 137.10923133.016743 134.213908 135.530955132.068126 133.032129 134.078939131.195329 131.933183 132.718367130.362183 130.881579 131.408391129.534787 129.837407 130.111113128.676823 128.764343 128.786667127.795273 127.626112 127.542237126.834882 126.573194 126.465572125.911317 125.674364 125.604163125.124454 124.9423 124.883162124.493239 124.333263 124.280443123.980988 123.831388 123.783368123.578907 123.431097 123.382336123.288641 123.129857 123.078827123.114473 122.936373 122.877379123.071261 122.861995 122.793919123.175626 122.928807 122.846611123.453406 123.160241 123.063695123.930454 123.588291 123.473871124.638722 124.244076 124.112884125.465857 125.163301 125.014276126.323548 126.236034 126.213706

127.204819 127.373925 127.457775128.164913 128.426533 128.534128129.088197 129.325095 129.39528129.874816 130.056929 130.116054130.505827 130.665765 130.718573131.017906 131.167464 131.215473131.419844 131.567609 131.616353131.710005 131.868731 131.919743131.884109 132.062138 132.121107131.927306 132.136485 132.204532131.822979 132.0697 132.151863131.545299 131.838358 131.934869131.068412 131.41047 131.524854

0.00 2.69 5.39 8.08 10.77 13.47 16.16 18.85 21.55 24.24 26.94 29.63 32.32 35.02 37.71 40.400

50

100

150

200

250

300

Altura Piezometrica ValvulaAltura Piezometrica DepositoAltura Piezometrica Punto Medio

Tiempo Nudo 1 Nudo 2 Nudo 3 Nudo 4 Nudo 5 Nudo 60.00 Q = 10.2654327 10.2654327 10.2654327 10.2654327 10.2654327 10.26543270.38 Q = 10.2654327 10.2654327 10.2654327 10.2654327 10.2654327 10.26543270.77 Q = 10.2654327 10.2654327 10.2654327 10.2654327 10.2654327 10.26543271.15 Q = 10.2654327 10.2654327 10.2654327 10.2654327 10.2654327 10.26543271.54 Q = 10.2654327 10.2654327 10.2654327 10.2654327 10.2654327 10.2109871.92 Q = 10.2654327 10.2654327 10.2654327 10.2654327 10.2113978 10.15409332.31 Q = 10.2654327 10.2654327 10.2654327 10.2118055 10.154931 10.09526932.69 Q = 10.2654327 10.2654327 10.2122101 10.1557624 10.0965428 10.03380483.08 Q = 10.2654327 10.2126117 10.1565876 10.0978069 10.0355311 9.970187913.46 Q = 10.1605878 10.1574067 10.0990615 10.0372446 9.9723768 9.903728213.85 Q = 10.0510064 10.048278 10.0389455 9.97454971 9.90639738 9.834884894.23 Q = 9.93764072 9.93421899 9.92506407 9.9090472 9.83804526 9.762988554.62 Q = 9.81915156 9.81614832 9.8060462 9.78991896 9.76665836 9.688470895.00 Q = 9.69642447 9.69274854 9.68277717 9.66543787 9.64176879 9.610684935.39 Q = 9.56816303 9.5648723 9.55396298 9.53645645 9.51130278 9.47950615.77 Q = 9.43518739 9.43124585 9.42042394 9.4017064 9.37608115 9.342524146.16 Q = 9.29624566 9.29265738 9.28091114 9.26197668 9.23486399 9.200529736.54 Q = 9.15209441 9.147879 9.13618178 9.11604594 9.08841047 9.052314716.93 Q = 9.00152892 8.99763662 8.98503467 8.96464187 8.93553008 8.898610537.31 Q = 8.84524468 8.84075128 8.82816648 8.80659326 8.77692312 8.738261527.70 Q = 8.6820876 8.67788952 8.66442731 8.64256958 8.61145222 8.560033838.08 Q = 8.51269544 8.50792531 8.49445669 8.47145383 8.4279281 8.37654618.47 Q = 8.33596926 8.33146959 8.31716048 8.28210049 8.23889928 8.188444798.85 Q = 8.15249326 8.14745426 8.12143654 8.08699224 8.04498126 7.995071879.24 Q = 7.96122914 7.94482052 7.91970675 7.88671484 7.84553709 7.797053049.62 Q = 7.73961128 7.73593524 7.71252883 7.68065568 7.64116288 7.59382259

10.00 Q = 7.51324743 7.50984562 7.49931834 7.46938293 7.43131637 7.3859924210.39 Q = 7.28266199 7.27921002 7.26919668 7.25238165 7.21658173 7.1730942810.77 Q = 7.04772382 7.04456175 7.03481409 7.01885056 6.99651719 6.9557333111.16 Q = 6.80897537 6.80583886 6.79671833 6.78143828 6.76040141 6.7335434311.54 Q = 6.56642329 6.56359848 6.55492063 6.5407121 6.52088677 6.4958850111.93 Q = 6.32063967 6.31791994 6.30999794 6.29675926 6.27856439 6.2554180412.31 Q = 6.07177606 6.06939546 6.06210518 6.05018088 6.03359875 6.0127605312.70 Q = 5.82044522 5.81825188 5.81185912 5.80120882 5.78661827 5.7681534213.08 Q = 5.56694908 5.56512695 5.55956339 5.55048764 5.53793114 5.5222539913.47 Q = 5.31195087 5.31039929 5.30588401 5.29839722 5.28821132 5.275443713.85 Q = 5.05590594 5.05476101 5.05127591 5.04563357 5.037912 5.0298924314.24 Q = 4.79953593 4.79874391 4.79646185 4.79272514 4.7892204 4.7849256614.62 Q = 4.54344941 4.54310103 4.54204745 4.54188145 4.54154255 4.5411377215.01 Q = 4.28843164 4.28851521 4.29026848 4.29259096 4.29550203 4.2990333715.39 Q = 4.03524023 4.0372507 4.04069567 4.04551015 4.05168207 4.0592267815.78 Q = 3.78761085 3.78895803 3.79402046 3.8013009 3.81073055 3.8222883216.16 Q = 3.54409585 3.5458022 3.55098122 3.56064693 3.57329715 3.5888445716.55 Q = 3.30530033 3.30742425 3.31373237 3.32427514 3.34004515 3.3595151816.93 Q = 3.0719476 3.07442416 3.08190795 3.09431692 3.11167215 3.1349284917.32 Q = 2.84463341 2.84751571 2.85609004 2.87038121 2.89027219 2.9157336917.70 Q = 2.62406283 2.62727755 2.63696497 2.65301756 2.67540974 2.70397195

18.09 Q = 2.41079815 2.41438807 2.42507958 2.44286557 2.46758591 2.4991432718.47 Q = 2.20549182 2.20937844 2.22106624 2.24042428 2.26737372 2.3016838518.85 Q = 2.00864451 2.01285577 2.02540891 2.04626011 2.07520781 2.1120806119.24 Q = 1.82081854 1.825274 1.83864931 1.86079311 1.89156903 1.9306874619.62 Q = 1.64242158 1.64713056 1.66117788 1.68447986 1.71679703 1.7578813120.01 Q = 1.47388647 1.47876989 1.49340722 1.51763065 1.55124477 1.5931967620.39 Q = 1.3154946 1.32054024 1.33560183 1.36055472 1.39441848 1.4373718920.78 Q = 1.16750979 1.17264311 1.18800667 1.21271323 1.24701181 1.2905771321.16 Q = 1.03005355 1.03523901 1.0500205 1.07473488 1.10914916 1.1529448221.55 Q = 0.90318293 0.90764709 0.92218681 0.94668067 0.98089845 1.0245263421.93 Q = 0.78541542 0.79030659 0.80448598 0.82853369 0.86224745 0.9053156122.32 Q = 0.67757111 0.68239564 0.6967971 0.72020079 0.75310496 0.7952338322.70 Q = 0.5794873 0.58417383 0.59822469 0.62148637 0.65331092 0.6941275423.09 Q = 0.49086339 0.49540391 0.50895284 0.53142792 0.56260706 0.6017826823.47 Q = 0.41138712 0.41570966 0.42867638 0.45014609 0.47997672 0.5178974223.86 Q = 0.34060613 0.34471038 0.35695546 0.3772807 0.40549622 0.4414208324.24 Q = 0.27807079 0.28188959 0.29335389 0.31234738 0.33877034 0.3724116424.63 Q = 0.22319998 0.22674167 0.23731018 0.25487443 0.27929692 0.3104670225.01 Q = 0.17543163 0.17864002 0.18828274 0.20428212 0.22659624 0.2551014625.40 Q = 0.13409326 0.1369862 0.14562633 0.16002044 0.18010479 0.2058621625.78 Q = 0.09854961 0.10108864 0.10873367 0.12145999 0.13929916 0.1622432426.17 Q = 0.06808974 0.07030298 0.07692873 0.08801975 0.1036072 0.1243885926.55 Q = 0.04205986 0.04393347 0.04959309 0.05908068 0.07311492 0.0914351426.94 Q = 0.01977919 0.02135206 0.02608779 0.0346911 0.04691215 0.0629341827.32 Q = 0.00064523 0.00193454 0.00645126 0.01392077 0.02451239 0.0384544227.71 Q = -0.01590983 -0.01425525 -0.01023205 -0.00372679 0.00546404 0.0176060728.09 Q = -0.02915557 -0.02807628 -0.02443319 -0.01868861 -0.01063278 4.63111E-0528.47 Q = -0.04024234 -0.03933313 -0.0365325 -0.03133893 -0.02410619 -0.014515828.86 Q = -0.04951018 -0.04869805 -0.04623838 -0.04194964 -0.03522159 -0.026296929.24 Q = -0.05715321 -0.05641488 -0.05411465 -0.05012051 -0.04413987 -0.0354577429.63 Q = -0.06331903 -0.06256927 -0.06029649 -0.05630438 -0.05035619 -0.0420646330.01 Q = -0.06798485 -0.06720017 -0.06475855 -0.06053174 -0.05422875 -0.0455318630.40 Q = -0.07108094 -0.07017377 -0.06743509 -0.06268263 -0.05570717 -0.0461600630.78 Q = -0.07236247 -0.07131565 -0.06809767 -0.0626104 -0.05461387 -0.0438616931.17 Q = -0.07155034 -0.07028636 -0.06649099 -0.06002901 -0.05076505 -0.0384598231.55 Q = -0.06821048 -0.06672591 -0.06221797 -0.05464596 -0.04387528 -0.0319766631.94 Q = -0.06190197 -0.06014258 -0.05488139 -0.04606475 -0.03585798 -0.0260334732.32 Q = -0.05207544 -0.05005821 -0.04399011 -0.03609403 -0.02822334 -0.020960432.71 Q = -0.03821543 -0.03592392 -0.03127167 -0.02614924 -0.02119676 -0.0160596933.09 Q = -0.01977345 -0.01942984 -0.01808376 -0.01637483 -0.01398584 -0.0110216233.48 Q = -0.00064505 -0.00193398 -0.00453348 -0.00592066 -0.00619988 -0.0055319833.86 Q = 0.01590522 0.01425105 0.0102289 0.00564129 0.00253307 0.0007036434.25 Q = 0.02914699 0.02806795 0.02442571 0.01868256 0.01254477 0.0079487234.63 Q = 0.04023029 0.03932127 0.03652128 0.03132894 0.02409806 0.0164262135.02 Q = 0.04949504 0.04868311 0.04622401 0.04193633 0.03521004 0.0262878635.40 Q = 0.05713537 0.05639723 0.05409762 0.05010458 0.04412566 0.0354460935.79 Q = 0.06329887 0.06254935 0.06027728 0.05628645 0.05034016 0.0420512736.17 Q = 0.06796285 0.06717846 0.06473773 0.06051244 0.05421169 0.04551776

36.56 Q = 0.07105766 0.07015087 0.06741328 0.06266267 0.05568979 0.0461460336.94 Q = 0.07233866 0.07129228 0.06807564 0.06259051 0.05459695 0.0438484237.33 Q = 0.07152686 0.07026342 0.06646954 0.06001 0.05074928 0.0384480337.71 Q = 0.06818839 0.06670436 0.06219805 0.05462862 0.04386141 0.0319664938.09 Q = 0.06188236 0.06012353 0.05486396 0.04604998 0.03584626 0.0260247838.48 Q = 0.05205942 0.05004271 0.0439762 0.03608221 0.02821374 0.0209530538.86 Q = 0.03820404 0.03591305 0.03126178 0.02614051 0.02118931 0.0160538139.25 Q = 0.01976771 0.01942405 0.01807806 0.01636931 0.01398082 0.0110174539.63 Q = 0.00064486 0.00193341 0.00453207 0.00591867 0.00619764 0.0055298640.02 Q = -0.0159006 -0.01424685 -0.01022574 -0.00563943 -0.00253216 -0.0007033740.40 Q = -0.02913841 -0.02805962 -0.02441824 -0.01867652 -0.0125404 -0.0079457340.79 Q = -0.04021825 -0.03930942 -0.03651006 -0.03131896 -0.02408994 -0.0164202841.17 Q = -0.04947992 -0.04866818 -0.04620965 -0.04192303 -0.03519849 -0.02627883

0.00 2.69 5.39 8.08 10.77 13.47 16.16 18.85 21.55 24.24 26.94 29.63 32.32 35.02 37.71 40.40

-2

0

2

4

6

8

10

12

Caudal ValvulaCaudal DepositoCaudal Punto Medio

Nudo 7 Nudo 8 Nudo 910.2654327 10.2654327 10.265432710.2654327 10.2654327 10.209735910.2654327 10.2101561 10.151542210.2105731 10.1523989 10.091391310.1532493 10.0926936 10.028548910.0939863 10.0303139 9.9635241110.0320658 9.96576168 9.89560328

9.9679829 9.8983313 9.825265969.90103957 9.82849539 9.751820529.83170165 9.75556981 9.675718299.75929243 9.67999925 9.596291179.68425005 9.60112274 9.513964169.60592058 9.51935886 9.42809474

9.5247163 9.43407181 9.339083939.44000803 9.34565643 9.246317349.30200781 9.25350458 9.150174939.15797994 9.10815841 9.050073459.00868712 8.95656881 8.884735048.85295689 8.78740898 8.714806328.67950964 8.61344846 8.541029088.50103791 8.43539727 8.362695798.31821978 8.25256256 8.180525968.13037877 8.06563222 7.993900487.93817134 7.87400264 7.803522397.74101152 7.67834571 7.608864417.53954064 7.47815102 7.410618767.33326777 7.27408047 7.20835287.12282562 7.06572023 7.00275316.90782232 6.85372791 6.79348366.68888817 6.63778885 6.581229686.46573367 6.4185614 6.365752616.22780143 6.19583154 6.14774015.98776088 5.95912296 5.92705004

5.7462584 5.72111403 5.694768925.5036082 5.48395757 5.46236913

5.26196861 5.24682907 5.230388355.02058789 5.01027938 4.999114384.78003589 4.77466427 4.769086614.54074106 4.54054278 4.540646514.30328759 4.30832942 4.31432964.06816678 4.07858558 4.090518653.83597076 3.85177129 3.869737863.60723915 3.62844219 3.652396983.38256285 3.40908817 3.438999593.16251236 3.19424874 3.22996631

2.9476654 2.98442572 3.025769162.73860309 2.78012997 2.82682202

2.53729756 2.58185522 2.633552942.34316482 2.39148869 2.446350312.15655986 2.2083441 2.266289131.97786534 2.03196885 2.093072681.80662889 1.86313212 1.926915851.64361327 1.70204784 1.768023771.48901828 1.54891581 1.616537511.34301995 1.40386298 1.472583131.20571584 1.26699165 1.336221591.07716444 1.13833326 1.207493580.95735085 1.01788458 1.086377430.84620704 0.90557736 0.972827330.74360057 0.80130075 0.866741590.64933483 0.70488859 0.767993190.56316166 0.61612775 0.676409580.48476236 0.53476336 0.591795450.41307908 0.46049417 0.513924030.34818739 0.3922903 0.442552750.28971176 0.3302854 0.377320640.23722464 0.27477213 0.318070690.19094095 0.22503231 0.264561210.15006402 0.18074645 0.216553890.11420321 0.14159735 0.173826540.08297459 0.10729144 0.136171220.05602631 0.07755387 0.103403640.03303601 0.0521419 0.075360550.01372285 0.03084463 0.05190428

-0.00214462 0.01348617 0.0329189-0.01475233 -7.0045E-05 0.01830972-0.02422208 -0.00992869 0.00799793-0.03063376 -0.01615391 0.00191628-0.03399614 -0.01878852 0-0.03368642 -0.017842 0-0.03000587 -0.01489774 0-0.02507306 -0.01216377 0-0.02061779 -0.01017525 0

-0.0170789 -0.00845397 0-0.01386969 -0.00690362 0-0.01078515 -0.0054157 0-0.00760574 -0.00388152 0-0.00411803 -0.00219004 0-0.00011631 -0.00023651 00.00458515 0.00207372 00.01013873 0.00482165 00.01666263 0.00806497 0

0.0242139 0.01184089 00.03062404 0.01614877 00.03398582 0.01878291 0

0.03367643 0.01783682 00.02999698 0.01489336 0

0.0250654 0.01216006 00.02061118 0.01017198 00.01707311 0.00845107 00.01386471 0.00690111 00.01078108 0.00541362 00.00760275 0.00387996 00.00411637 0.00218913 00.00011627 0.00023641 0

-0.00458331 -0.00207286 0-0.01013483 -0.00481972 0-0.01665659 -0.00806194 0

0.00 2.69 5.39 8.08 10.77 13.47 16.16 18.85 21.55 24.24 26.94 29.63 32.32 35.02 37.71 40.40

-2

0

2

4

6

8

10

12

Caudal ValvulaCaudal DepositoCaudal Punto Medio