diseño de canales plantillas

236 243 253 266 284 311 353 431 615 1,596 0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

5

remanzo

Colum...

longitud

tira

nte

Diseño de alcantarillad 1.22 mS 0.015n 0.024Q 1 m3/s

y 1-2y/d O RAD O GRAD SEN O A P R Q0.5 0.180328 2.778953 159.303044 0.353425 0.451269 1.695161 0.266210 0.961432

0.51 0.163934 2.812237 161.211050 0.322083 0.463293 1.715465 0.270069 0.9964680.52 0.147541 2.845429 163.113792 0.290472 0.475350 1.735712 0.273864 1.0318610.53 0.131148 2.878540 165.011835 0.258620 0.487436 1.755909 0.277598 1.0675950.54 0.114754 2.911578 166.905730 0.226554 0.499549 1.776062 0.281268 1.1036490.55 0.098361 2.944553 168.796017 0.194303 0.511684 1.796177 0.284874 1.1400060.56 0.081967 2.977474 170.683229 0.161893 0.523839 1.816259 0.288416 1.1766450.57 0.065574 3.010351 172.567888 0.129351 0.536010 1.836314 0.291894 1.2135460.58 0.049180 3.043192 174.450514 0.096705 0.548194 1.856347 0.295308 1.2506910.59 0.032787 3.076007 176.331619 0.063982 0.560387 1.876364 0.298656 1.2880590.6 0.016393 3.108804 178.211711 0.031206 0.572587 1.896371 0.301938 1.325629

0.61 0.000000 3.141593 180.091299 -0.001593 0.584790 1.916372 0.305155 1.3633820.62 -0.016393 3.174381 181.970886 -0.034392 0.596992 1.936372 0.308304 1.4012950.63 -0.032787 3.207178 183.850978 -0.067162 0.609191 1.956379 0.311387 1.4393490.64 -0.049180 3.239993 185.732083 -0.099877 0.621383 1.976396 0.314402 1.4775220.65 -0.065574 3.272834 187.614709 -0.132511 0.633564 1.996429 0.317349 1.5157920.66 -0.081967 3.305711 189.499368 -0.165037 0.645733 2.016484 0.320227 1.5541370.67 -0.098361 3.338633 191.386580 -0.197428 0.657884 2.036566 0.323036 1.5925360.68 -0.114754 3.371608 193.276867 -0.229657 0.670015 2.056681 0.325775 1.6309660.69 -0.131148 3.404646 195.170762 -0.261697 0.682123 2.076834 0.328444 1.669403

EJEMPLO 1VARIACION DE ENERGIA ESPECIFICA Y OTROS PARAMETROS DESCRIPTIVOS EN FUNCIONDEL TIRANTEDATOSCANAL RECTANGULARGASTO ESPECIFICO = 1m3/s/mgraficar en funcion del tirante 1.5>y>0.1sol.Yc = (q^2/g)0.333Yc = 0.4673

y v v^2/2g

1.5 0.667 0.0231.46 0.685 0.024

1 1.000 0.0510.6 1.667 0.142

0.467 2.141 0.2340.4 2.500 0.3190.3 3.333 0.5670.2 5.000 1.2760.1 10.000 5.102

A=Y V=q/y E=Y+V^2/2*g

EJEMPLO 2ENERGIA ESPECIFICAtriangularCaud m3 12T m 2Z 1GRAFICAR Y Vs. Ey A V V^2/2*gm m2 m/s

4 16 0.125 0.0007971943.8 14.44 0.831024931 0.0352348183.6 12.96 0.925925926 0.0437417773.4 11.56 1.038062284 0.054978233.2 10.24 1.171875 0.070065868

3 9 1.333333333 0.0907029482.8 7.84 1.530612245 0.1195292782.6 6.76 1.775147929 0.1607729682.4 5.76 2.083333333 0.2214427442.2 4.84 2.479338843 0.313628627

2 4 3 0.459183673

1.8 3.24 3.703703704 0.6998684251.6 2.56 4.6875 1.121053891.4 1.96 6.12244898 1.9124684441.2 1.44 8.333333333 3.5430839

1 1 12 7.346938776

EJEMPLO 3Diseñar un canal que puede transportae 2.9 m3/sDATOSb mts. 2.5z 2n 0.014s 0.008

Y P A0 2.5 0

0.1 2.947213595 0.270.2 3.394427191 0.580.3 3.841640786 0.930.4 4.288854382 1.32

2 3 4 5 6 7 8 90

0.5

1

1.5

2

2.5

3

3.5

4

ENERG. ESPEC.Q=2m3/S,B=2 m

Colum...

Energía esp.

Tir

an

te

EJEMPLO 4TIRANTE EN UN CANAL CIRCULARALCANTARILLAdo (m) 2 5.103103631S 0.015n 0.024Q m3/s 10

Y COS O/2 O 0m (1-2Y/do) rad grad

0.1000 0.9 0.902053624 51.710080330.2000 0.8 1.287002218 73.777197190.3000 0.7 1.59079766 91.192222570.4000 0.6 1.854590436 106.31410140.5000 0.5 2.094395102 120.06086570.6000 0.4 2.318558961 132.91102330.7000 0.3 2.532207346 145.15838290.8000 0.2 2.738876812 157.00567710.9000 0.1 2.941257811 168.60713571.0000 0 3.141592654 180.09129861.1000 -0.1 3.341927496 191.57546151.2000 -0.2 3.544308495 203.17692011.3000 -0.3 3.750977962 215.02421441.4000 -0.4 3.964626346 227.2715741.5000 -0.5 4.188790205 240.12173151.6000 -0.6 4.428594871 253.86849581.7000 -0.7 4.692387647 268.99037471.8000 -0.8 4.99618309 286.40541.9000 -0.9 5.381131684 308.47251692.0000 -1 6.283185307 360.1825972

EJEMPLO 5Dimensionar un canal trapezoidal que debe transportar 8 cubos de agua DATOSinclinación 45ºS 0.002n 0.016condición MEHsol.calculo del talud 1

z 1m 0.828427125 b/yz+m 1.828427125

Y A V P0.01 0.00018284 43754.10195 0.0365640.06 0.00658224 1215.391721 0.2193840.11 0.02212364 361.6041483 0.4022040.16 0.04680704 170.9144607 0.5850240.21 0.08063244 99.21565067 0.7678440.26 0.12359984 64.72500288 0.9506640.31 0.17570924 45.52976269 1.1334840.36 0.23696064 33.76088113 1.3163040.41 0.30735404 26.02861508 1.4991240.46 0.38688944 20.67774194 1.6819440.51 0.47556684 16.82203074 1.8647640.56 0.57338624 13.95220088 2.0475840.61 0.68034764 11.75869442 2.2304040.66 0.79645104 10.04455968 2.4132240.71 0.92169644 8.679647282 2.5960440.76 1.05608384 7.575156154 2.7788640.81 1.19961324 6.668816026 2.9616840.86 1.35228464 5.915914271 3.1445040.91 1.51409804 5.283673705 3.3273240.96 1.68505344 4.747623909 3.5101441.01 1.86515084 4.289197328 3.6929641.06 2.05439024 3.894099497 3.8757841.11 2.25277164 3.551181069 4.0586041.16 2.46029504 3.251642535 4.2414241.21 2.67696044 2.988464036 4.4242441.26 2.90276784 2.755990296 4.6070641.31 3.13771724 2.549624261 4.7898841.36 3.38180864 2.365598072 4.9727041.41 3.63504204 2.200799856 5.1555241.46 3.89741744 2.0526413 5.3383441.51 4.16893484 1.918955394 5.5211641.56 4.44959424 1.797916747 5.7039841.61 4.73939564 1.687978934 5.8868041.66 5.03833904 1.587824864 6.0696241.71 5.34642444 1.496327142 6.2524441.76 5.66365184 1.412516204 6.4352641.81 5.99002124 1.33555453 6.6180841.86 6.32553264 1.26471563 6.8009041.91 6.67018604 1.199366847 6.983724

1.96 7.02398144 1.138955174 7.166544

EJEMPLO 6Dibujar la linea de energía mínimaYc ?

Q cubos 10

b 0.5

z 3canal trapezoidal

sol.condicion general A3/T=Q2/g

A3 10.19367992A3 10.2T

A=(b+zyc)ycT=b+2*zyc

Reemp en*y A A3 T

0.1 0.08 0.000512 1.10.2 0.22 0.010648 1.70.3 0.42 0.074088 2.30.4 0.68 0.314432 2.90.7 1.82 6.028568 4.70.9 2.88 23.887872 5.9

1 3.5 42.875 6.51.1 4.18 73.034632 7.1

1.098 4.165812 72.2934582 7.0881.2 4.92 119.095488 7.7

YC =1.1VC=2.39 m/sE=YC+VC^2/2g 1.39m

EJEMPLO 7

RED DE TUBERIASHARDY CROSS

1,- Calcular el caudal en cada ramal con C=100

Ecuacion de descarga hf=kQ^1,85

K=1,72*10^6*L/(c^1,85*D^4,866)

TABULACION PARA DOS CIRCUITOS

K Qo hfO

L D CIRCUITO IBN 0.6 6 0.0337 70 87.22NM 0.5 6 0.0281 -20 -7.16MB 0.5 8 0.0069 -130 -56.35

23.71

CM 0.7 8 0.0097 -110 -57.93MN 0.5 6 0.0281 20 7.16NC 0.6 8 0.0083 90 34.24

-16.53

EJEMPLO N. 8

VELOCIDAD DATOSCANAL RECTANGULAR ANCHOy 1.2S 4/100000

CALCULAR LAS VELOCIDADES A INTERVALOS DE 1/10CANAL LISOVISCOSIDAD 1,4*10^-6 msol.-RECORDANDO DISTRIBUCION DE VELOCIDADES DE CANAL ABIERTO

V/V*=1/K*Ln(Y/Yo)V*= (To/DENS)^0,5 =(Grs)^0,5 Yo = visc/9V*V=2,5*2,303*(Ghs)lg(9V*Y/VISC)V=0,3945*LG(4,41*10^5*Y)

D.A.A. Y(m) 441000Y LG(441000Y) V(m/s)0 1.2 529200 5.724 2.258

10 1.08 476280 5.678 2.24020 0.96 423360 5.627 2.22030 0.84 370440 5.569 2.19740 0.72 317520 5.502 2.17050 0.6 264600 5.423 2.13960 0.48 211680 5.326 2.10170 0.36 158760 5.201 2.05280 0.24 105840 5.025 1.98290 0.12 52920 4.724 1.863

92.5 0.09 39690 4.599 1.81495 0.06 26460 4.423 1.745

97.5 0.03 13230 4.122 1.62699.75 0.003 1323 3.122 1.231

EJEMPLO No 9

ENERGIA ESPECIFICACANAL RECTANGULARBASE b (m) 2Q (m3/s) 2GRAFICAR Y Vs. Es

Y A V V^2/2g Y+V^2/(2g)0 0

1.00

01.

200

1.40

01.

600

1.80

02.

000

2.20

02.

400

0

0.2

0.4

0.6

0.8

1

1.2

1.4VELOC. CANAL

Colum...

VELOCIDAD

TIR

AN

TE

0.05 0.1 20.000 20.408 20.4580.1 0.2 10.000 5.102 5.202

0.15 0.3 6.667 2.268 2.4180.2 0.4 5.000 1.276 1.476

0.25 0.5 4.000 0.816 1.0660.3 0.6 3.333 0.567 0.867

0.35 0.7 2.857 0.416 0.7660.4 0.8 2.500 0.319 0.719

0.45 0.9 2.222 0.252 0.7020.5 1 2.000 0.204 0.704

0.55 1.1 1.818 0.169 0.7190.6 1.2 1.667 0.142 0.742

0.65 1.3 1.538 0.121 0.7710.7 1.4 1.429 0.104 0.804

0.75 1.5 1.333 0.091 0.8410.8 1.6 1.250 0.080 0.880

0.85 1.7 1.176 0.071 0.9210.9 1.8 1.111 0.063 0.963

0.95 1.9 1.053 0.057 1.0071 2 1.000 0.051 1.051

1.05 2.1 0.952 0.046 1.0961.1 2.2 0.909 0.042 1.142

1.15 2.3 0.870 0.039 1.1891.2 2.4 0.833 0.035 1.235

1.25 2.5 0.800 0.033 1.2831.3 2.6 0.769 0.030 1.330

1.35 2.7 0.741 0.028 1.3781.4 2.8 0.714 0.026 1.426

1.45 2.9 0.690 0.024 1.4741.5 3 0.667 0.023 1.523

1.55 3.1 0.645 0.021 1.5711.6 3.2 0.625 0.020 1.620

0.000 5.000 10.000 15.000 20.000 25.0000

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8ENER.ESP.Q=2 ,B=2

Colum...

ENERGIA

TIR

AN

TE

EJEMPLO No 10

0.000 5.000 10.000 15.000 20.000 25.0000

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8ENER.ESP.Q=2 ,B=2

Colum...

ENERGIAT

IRA

NT

E

E F dE/dY

1.5227 0.17 0.9701.4839 0.18 0.9671.0510 0.32 0.8980.7417 0.69 0.5280.7009 1.00 -0.0020.7189 1.26 -0.5940.8669 1.94 -2.7791.4755 3.57 -11.7555.2020 10.10 -101.041

F=V/(G*Y)^0.5 DE/DY=3-2E/Y

Y+V^2/2*gE (M)4.0007971943.8352348183.643741777

3.454978233.2700658683.0907029482.9195292782.7607729682.6214427442.5136286272.459183673

2.4998684252.72105389

3.3124684444.7430839

8.346938776

R Q0 0

0.0916119552 0.355690989290.1708682989 1.152936157920.2420840603 2.3265978152

0.307774497 3.86926206828

2 3 4 5 6 7 8 90

0.5

1

1.5

2

2.5

3

3.5

4

ENERG. ESPEC.Q=2m3/S,B=2 m

Colum...

Energía esp.

Tir

an

te

s^0.5/n

sen0 A P Rr^2/2(o-seno) r0 A/P

0.784885399 0.0585841122 0.90205362359 0.0649452660.960182576 0.163409821 1.28700221759 0.1269693390.999783517 0.2955070717 1.59079766037 0.1857603130.959736186 0.4474271249 1.854590436 0.2412538730.865493761 0.6144506705 2.09439510239 0.293378584

0.73241192 0.7930735208 2.31855896145 0.3420544980.571309864 0.9804487409 2.53220734556 0.3871913340.390639919 1.1741184466 2.73887681201 0.428686110.197535255 1.3718612782 2.94125781127 0.466419935

-0.001593461 1.5715930572 3.14159265359 0.500253607-0.200658373 1.7712929347 3.34192749591 0.530021353-0.393571631 1.9689400633 3.54430849517 0.555521639-0.573922575 2.1624502685 3.75097796162 0.576503059-0.734578051 2.3496021982 3.96462634572 0.592641524-0.867085756 2.5279379804 4.18879020479 0.603500738-0.960626527 2.694610699 4.42859487118 0.60845726-0.999844749 2.846116198 4.69238764681 0.606539019

-0.95928736 2.9777352248 4.99618308959 0.596002022-0.782906669 3.0820191762 5.38113168359 0.5727455410.003186917 3.1399991949 6.28318530718 0.499746393

(1+Z^2)^0.5 1.4142135624

R Q0.005000547 1.496998E-050.030003282 0.00177734740.055006017 0.00894486890.080008752 0.02428873810.105011487 0.05014847360.130014222 0.08862168940.155016957 0.14164177320.180019691 0.21101996480.205022426 0.29847148140.230025161 0.40563316710.255027896 0.53407613070.280030631 0.68531519170.305033366 0.86081617560.330036101 1.06200169840.355038836 1.29025584990.380041571 1.54692805590.405044306 1.8333363080.430047041 2.15076990110.455049776 2.50049177910.480052511 2.88374056360.505055246 3.30173232490.530057981 3.7556621380.555060715 4.2467054601

0.58006345 4.7760193580.605066185 5.3447436058

0.63006892 5.95400167380.655071655 6.6049016223

0.68007439 7.29853691270.705077125 8.035987147 rpta

0.73007986 8.818318744 b 1.17030.755082595 9.6465855597

0.78008533 10.5218294590.805088065 11.445080841

0.8300908 12.4173591310.855093535 13.439673228

0.88009627 14.513021930.905099004 15.6383943240.930101739 16.8167701530.955104474 18.049120159

0.980107209 19.336406406

*T*

10.2T11.2217.3423.4629.5847.9460.18

66.372.42

72.297678.54

K=1,72*10^6*L/(c^1,85*D^4,866)

SUM hf0 sum(hfo/qo) AQ AQ Q hf

1.25 -6.30 -6.00 64.00 73.900.36 -13.00 33.00 18.080.43 -6.00 136.00 61.25

23.71 2.04

0.53 7.04 7.00 103.00 51.280.36 13.00 33.00 18.080.38 7.00 97.00 39.33

-16.53 1.27

0.000 5.000 10.000 15.000 20.000 25.0000

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8ENER.ESP.Q=2 ,B=2

Colum...

ENERGIA

TIR

AN

TE

0.000 5.000 10.000 15.000 20.000 25.0000

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8ENER.ESP.Q=2 ,B=2

Colum...

ENERGIA

TIR

AN

TE

(V^2/2g)/E*100 c c+v c-v Régimen

1.5 3.83601356 4.503 3.21.6 3.78452111 4.469 3.1 subcrítico4.9 3.13209195 4.132 2.1

19.1 2.42610799 4.093 0.833.4 2.14039015 4.282 0.0 crítico44.4 1.98090888 4.48165.4 1.71551741 5.049 supercrítico86.4 1.4007141 6.40198.1 0.99045444 10.990

DE/DY=3-2E/Y C=(g*Y)^0.5

Q(AR^2/3S^1/2)/n0.048391664980.210948126790.491501232950.885695152091.385569840511.98086556355

2.65960683743.408402212934.212596168075.056323741995.92248339055

6.79262169087.64670055421

8.4626804462 rpta9.215776043849.8770519947810.410477010510.765523358410.851053847410.0955711681

SUM hfo AQ Q hf SUMhfo AQ

1 65 76.06 03 -30.00 -15.16 01 -135.00 -60.00 0

-5.44 0.47

-2 -105.00 -53.00 0-3 30.00 15.16 0

6.12 -2 95.00 37.83 -0.16 0

0.00001.00002.00003.00004.00005.00006.00000

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

ENERGIA ESPECIFICA

Column A

ENERGIA

TIR

AN

TE

0.00001.00002.00003.00004.00005.00006.00000

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

ENERGIA ESPECIFICA

Column A

ENERGIA

TIR

AN

TE