7/26/2019 METODO 1 Cross Correccion Presiones

1/85

UNIVERSIDAD PRIVADA DE

FACULTAD DE INGENIERIA

ESCUELA PROFESIONAL DE INGEN

ALUMNO : RICRADO PACO ORTIGOZO

FECHA : ABRIL DEL 2010

DATOS:

100.00mca

1.14E-06 m2/s

ks = 0.06000mm

ks = 0.00006 m

km = 10.00000

g = 9.80665 m/s2Error = 0.00001

Q= 200 L/s

60 L/s

1 500 m - 250 mm 2 400 m

120 L/s 50 L/s

80 L/s 10 L/s

250 mm 110 mm

- I -

300 m 200 m

6 600 m - 200 mm 5 400 m

40 L/s 20 L/s

40 L/s 30 L/s

NODO 1 2 3 4 5 6

PRESIN (m) 100 92.00 80.00 75.00 90.00 95.00

1 CICLO

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

2 1 - 2 500.00 250.00 92.00 100.00 8.000 2.2272

2 - 3 400.00 160.00 92.00 80.00 12.000 2.3300

400.00 160.00 92.00 80.00 9.232 2.0320

400.00 160.00 92.00 80.00 9.895 2.1070

400.00 160.00 92.00 80.00 9.737 2.0893

400.00 160.00 92.00 80.00 9.774 2.0935

400.00 160.00 92.00 80.00 9.765 2.0925

400.00 160.00 92.00 80.00 9.768 2.0928

P1=

=

Hfacce

= 10 v2/2g

%&

%'

METODO DE HARDY-CROSS CORRECCIMETODO DE HARDY-CROSS CORRECCI

RITAS T ITA

7/26/2019 METODO 1 Cross Correccion Presiones

2/85

400.00 160.00 92.00 80.00 9.767 2.0927

400.00 160.00 92.00 80.00 9.767 2.0927

400.00 160.00 92.00 80.00 9.767 2.0927

2 - 5 200.00 110.00 92.00 90.00 2.000 1.025

Q =

=

Hi= -0.2178669

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

3 3 - 2 400.00 160.00 80.00 91.78 11.782 2.3078

400.00 160.00 80.00 91.78 11.782 2.3078

400.00 160.00 80.00 91.78 9.067 2.0129

400.00 160.00 80.00 91.78 9.716 2.0870

400.00 160.00 80.00 91.78 9.561 2.0696

400.00 160.00 80.00 91.78 9.598 2.0737400.00 160.00 80.00 91.78 9.590 2.0728

400.00 160.00 80.00 91.78 9.592 2.0730

400.00 160.00 80.00 91.78 9.591 2.0729

400.00 160.00 80.00 91.78 9.591 2.0729

3 - 4 200.00 110.00 80.00 75.00 5.000 1.6656

Q =

=

Hi= -3.7676336

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

4 4 - 3 200.00 110.00 75.00 76.23 1.232 0.7906

4 - 5 400.00 160.00 75.00 90.00 15.000 2.6167

Q =

-Qdi =

=

Hi=6.2735521

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

5 5 - 2 200.00 110.00 90.00 91.78 1.782 0.9636

5 - 4 400.00 160.00 90.00 81.27 8.726 1.9730

5 - 6 600.00 200.00 90.00 95.00 5.000 1.3724

Q =

-Qdi =

=

-Qdi =

%& %'

-Qdi =

%& %'

%&

%'

7/26/2019 METODO 1 Cross Correccion Presiones

3/85

Hi= -1.9006198

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

6 6 - 1 300.00 250.00 95.00 100.00 5.000 2.2751

6 - 5 600.00 200.00 95.00 88.10 6.901 1.6263

Q =-Qdi =

=

Hi= 1.38433

2 CICLO

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

2 1 - 2 500.00 250.00 91.78 100.00 8.218 2.2586

2 - 3 400.00 160.00 91.78 76.23 15.550 2.6661

400.00 160.00 91.78 76.23 11.926 2.3225

400.00 160.00 91.78 76.23 12.800 2.4096

400.00 160.00 91.78 76.23 12.590 2.3889

400.00 160.00 91.78 76.23 12.640 2.3939

400.00 160.00 91.78 76.23 12.628 2.3927

400.00 160.00 91.78 76.23 12.631 2.3930

400.00 160.00 91.78 76.23 12.630 2.3929

400.00 160.00 91.78 76.23 12.630 2.3929

400.00 160.00 91.78 76.23 12.630 2.3929

2 - 5 200.00 110.00 91.78 88.10 3.683 1.418

Q =

=

Hi= -1.0224831

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

3 3 - 2 400.00 160.00 76.23 90.76 14.527 2.5735

400.00 160.00 76.23 90.76 14.527 2.5735

400.00 160.00 76.23 90.76 11.150 2.2425

400.00 160.00 76.23 90.76 11.963 2.3263

400.00 160.00 76.23 90.76 11.768 2.3064

400.00 160.00 76.23 90.76 11.815 2.3112

400.00 160.00 76.23 90.76 11.804 2.3101

400.00 160.00 76.23 90.76 11.807 2.3103

400.00 160.00 76.23 90.76 11.806 2.3103

400.00 160.00 76.23 90.76 11.806 2.3103

%&

%'

%&

%'

-Qdi =

%&

%'

7/26/2019 METODO 1 Cross Correccion Presiones

4/85

3 - 4 200.00 110.00 76.23 81.27 5.041 1.6728

Q =

=

Hi= 6.305949

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

4 4 - 3 200.00 110.00 81.27 82.54 1.265 0.8017

4 - 5 400.00 160.00 81.27 88.10 6.826 1.7347

Q =

-Qdi =

=

Hi=2.2448175

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

5 5 - 2 200.00 110.00 88.10 90.76 2.660 1.1931

5 - 4 400.00 160.00 88.10 83.52 4.581 1.4061

5 - 6 600.00 200.00 88.10 96.38 8.285 1.7902

Q =

-Qdi =

=

Hi=1.0809987

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

6 6 - 1 300.00 250.00 96.38 100.00 3.616 1.9209

6 - 5 600.00 200.00 96.38 89.18 7.204 1.6635

Q =

-Qdi =

=

Hi=0.1219612

3 CICLO

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

2 1 - 2 500.00 250.00 90.76 100.00 9.240 2.4008

2 - 3 400.00 160.00 90.76 82.54 8.221 1.9124

400.00 160.00 90.76 82.54 6.357 1.6710

400.00 160.00 90.76 82.54 6.798 1.7309

400.00 160.00 90.76 82.54 6.694 1.7170

400.00 160.00 90.76 82.54 6.718 1.7203

-Qdi =

%&

%'

%& %'

%&

%'

%& %'

7/26/2019 METODO 1 Cross Correccion Presiones

5/85

400.00 160.00 90.76 82.54 6.713 1.7195

400.00 160.00 90.76 82.54 6.714 1.7197

400.00 160.00 90.76 82.54 6.714 1.7196

400.00 160.00 90.76 82.54 6.714 1.7196

400.00 160.00 90.76 82.54 6.714 1.7196

2 - 5 200.00 110.00 90.76 89.18 1.579 0.903

Q =

=

Hi=1.2587285

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

3 3 - 2 400.00 160.00 82.54 92.02 9.480 2.0604

400.00 160.00 82.54 92.02 9.480 2.0604

400.00 160.00 82.54 92.02 7.316 1.7989

400.00 160.00 82.54 92.02 7.830 1.8642400.00 160.00 82.54 92.02 7.708 1.8489

400.00 160.00 82.54 92.02 7.737 1.8525

400.00 160.00 82.54 92.02 7.730 1.8517

400.00 160.00 82.54 92.02 7.732 1.8519

400.00 160.00 82.54 92.02 7.732 1.8518

400.00 160.00 82.54 92.02 7.732 1.8518

3 - 4 200.00 110.00 82.54 83.52 0.980 0.6987

Q =

=

Hi=0.6683428

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

4 4 - 3 200.00 110.00 83.52 83.21 0.312 0.3740

4 - 5 400.00 160.00 83.52 89.18 5.662 1.5723

Q =

-Qdi =

=

Hi= -0.2286116

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

5 5 - 2 200.00 110.00 89.18 92.02 2.838 1.2348

5 - 4 400.00 160.00 89.18 83.29 5.891 1.6054

5 - 6 600.00 200.00 89.18 96.51 7.326 1.6783

Q =

-Qdi =

%& %'

-Qdi =

%&

%'

%&

%'

7/26/2019 METODO 1 Cross Correccion Presiones

6/85

-Qdi =

=

Hi=0.2594363

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

6 6 - 1 300.00 250.00 96.51 100.00 3.494 1.8868

6 - 5 600.00 200.00 96.51 89.44 7.066 1.6468

Q =

-Qdi =

=

Hi=0.0521025

4 CICLO

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

2 1 - 2 500.00 250.00 92.02 100.00 7.982 2.2245

2 - 3 400.00 160.00 92.02 83.21 8.812 1.9831

400.00 160.00 92.02 83.21 6.807 1.7321

400.00 160.00 92.02 83.21 7.282 1.7946

400.00 160.00 92.02 83.21 7.170 1.7800

400.00 160.00 92.02 83.21 7.196 1.7835

400.00 160.00 92.02 83.21 7.190 1.7826

400.00 160.00 92.02 83.21 7.191 1.7828

400.00 160.00 92.02 83.21 7.191 1.7828

400.00 160.00 92.02 83.21 7.191 1.7828

400.00 160.00 92.02 83.21 7.191 1.7828

2 - 5 200.00 110.00 92.02 89.44 2.579 1.173

Q =

=

Hi=0.1913576

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

3 3 - 2 400.00 160.00 83.21 92.21 9.003 2.0055

400.00 160.00 83.21 92.21 9.003 2.0055

400.00 160.00 83.21 92.21 6.952 1.7515

400.00 160.00 83.21 92.21 7.439 1.8148

400.00 160.00 83.21 92.21 7.324 1.8000

400.00 160.00 83.21 92.21 7.351 1.8035

400.00 160.00 83.21 92.21 7.345 1.8027

400.00 160.00 83.21 92.21 7.346 1.8029

%& %'

%& %'

-Qdi =

%&

%'

7/26/2019 METODO 1 Cross Correccion Presiones

7/85

400.00 160.00 83.21 92.21 7.346 1.8028

400.00 160.00 83.21 92.21 7.346 1.8028

3 - 4 200.00 110.00 83.21 83.29 0.083 0.1792

Q =

=

Hi= -0.161129

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

4 4 - 3 200.00 110.00 83.29 83.05 0.244 0.3269

4 - 5 400.00 160.00 83.29 89.44 6.150 1.6422

Q =

-Qdi =

=

Hi= -0.0097448

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

5 5 - 2 200.00 110.00 89.44 92.21 2.770 1.2190

5 - 4 400.00 160.00 89.44 83.28 6.160 1.6436

5 - 6 600.00 200.00 89.44 96.56 7.119 1.6531

Q =

-Qdi =

=

Hi=0.0562158

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

6 6 - 1 300.00 250.00 96.56 100.00 3.442 1.8720

6 - 5 600.00 200.00 96.56 89.50 7.062 1.6463

Q =

-Qdi =

=

Hi=0.0100885

5 CICLO

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

2 1 - 2 500.00 250.00 92.21 100.00 7.790 2.1966

2 - 3 400.00 160.00 92.21 83.05 9.164 2.0242

400.00 160.00 92.21 83.05 7.075 1.7676

400.00 160.00 92.21 83.05 7.571 1.8316

-Qdi =

%&

%'

%&

%'

%&

%'

%& %'

7/26/2019 METODO 1 Cross Correccion Presiones

8/85

400.00 160.00 92.21 83.05 7.454 1.8167

400.00 160.00 92.21 83.05 7.482 1.8202

400.00 160.00 92.21 83.05 7.475 1.8194

400.00 160.00 92.21 83.05 7.477 1.8196

400.00 160.00 92.21 83.05 7.476 1.8195

400.00 160.00 92.21 83.05 7.476 1.8195

400.00 160.00 92.21 83.05 7.476 1.81952 - 5 200.00 110.00 92.21 89.50 2.714 1.206

Q =

=

Hi= -0.0189931

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

3 3 - 2 400.00 160.00 83.05 92.19 9.145 2.0220

400.00 160.00 83.05 92.19 9.145 2.0220400.00 160.00 83.05 92.19 7.061 1.7658

400.00 160.00 83.05 92.19 7.556 1.8296

400.00 160.00 83.05 92.19 7.438 1.8147

400.00 160.00 83.05 92.19 7.466 1.8182

400.00 160.00 83.05 92.19 7.460 1.8174

400.00 160.00 83.05 92.19 7.461 1.8176

400.00 160.00 83.05 92.19 7.461 1.8176

400.00 160.00 83.05 92.19 7.461 1.8176

3 - 4 200.00 110.00 83.05 83.28 0.234 0.3196

Q =

=

Hi= -0.0468699

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

4 4 - 3 200.00 110.00 83.28 83.00 0.281 0.3535

4 - 5 400.00 160.00 83.28 89.50 6.216 1.6514

Q =

-Qdi =

=

Hi= -0.017925

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

5 5 - 2 200.00 110.00 89.50 92.19 2.695 1.2013

5 - 4 400.00 160.00 89.50 83.26 6.234 1.6539

-Qdi =

%&

%'

-Qdi =

%&

%'

%&

%'

7/26/2019 METODO 1 Cross Correccion Presiones

9/85

5 - 6 600.00 200.00 89.50 96.57 7.072 1.6475

Q =

-Qdi =

=

Hi= -0.009525

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

6 6 - 1 300.00 250.00 96.57 100.00 3.432 1.8691

6 - 5 600.00 200.00 96.57 89.49 7.082 1.6487

Q =

-Qdi =

=

Hi= -0.0026385

6 CICLO

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

2 1 - 2 500.00 250.00 92.19 100.00 7.809 2.1994

2 - 3 400.00 160.00 92.19 83.00 9.192 2.0274

400.00 160.00 92.19 83.00 7.096 1.7704

400.00 160.00 92.19 83.00 7.594 1.8345

400.00 160.00 92.19 83.00 7.476 1.8195

400.00 160.00 92.19 83.00 7.504 1.8231

400.00 160.00 92.19 83.00 7.498 1.8222

400.00 160.00 92.19 83.00 7.499 1.8224

400.00 160.00 92.19 83.00 7.499 1.8224

400.00 160.00 92.19 83.00 7.499 1.8224

400.00 160.00 92.19 83.00 7.499 1.8224

2 - 5 200.00 110.00 92.19 89.49 2.704 1.204

Q =

=

Hi= -0.0102514

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

3 3 - 2 400.00 160.00 83.00 92.18 9.182 2.0262

400.00 160.00 83.00 92.18 9.182 2.0262

400.00 160.00 83.00 92.18 7.089 1.7694

400.00 160.00 83.00 92.18 7.586 1.8334

400.00 160.00 83.00 92.18 7.468 1.8185

400.00 160.00 83.00 92.18 7.496 1.8220

%&

%'

%&

%'

-Qdi =

%&

%'

7/26/2019 METODO 1 Cross Correccion Presiones

10/85

400.00 160.00 83.00 92.18 7.489 1.8212

400.00 160.00 83.00 92.18 7.491 1.8214

400.00 160.00 83.00 92.18 7.490 1.8213

400.00 160.00 83.00 92.18 7.491 1.8213

3 - 4 200.00 110.00 83.00 83.26 0.263 0.3408

Q =

=

Hi= -0.0163587

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

4 4 - 3 200.00 110.00 83.26 82.98 0.280 0.3524

4 - 5 400.00 160.00 83.26 89.49 6.224 1.6526

Q =

-Qdi =

=

Hi= -0.0139786

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

5 5 - 2 200.00 110.00 89.49 92.18 2.694 1.2011

5 - 4 400.00 160.00 89.49 83.25 6.238 1.6546

5 - 6 600.00 200.00 89.49 96.57 7.079 1.6483

Q =

-Qdi =

=

Hi= -0.008064

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

6 6 - 1 300.00 250.00 96.57 100.00 3.434 1.8699

6 - 5 600.00 200.00 96.57 89.48 7.087 1.6493

Q =

-Qdi =

=

Hi= -0.001695

CICLO

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

2 1 - 2 500.00 250.00 92.18 100.00 7.820 2.2009

2 - 3 400.00 160.00 92.18 82.98 9.198 2.0281

-Qdi =

%&

%'

%&

%'

%&

%'

%& %'

7/26/2019 METODO 1 Cross Correccion Presiones

11/85

400.00 160.00 92.18 82.98 7.101 1.7710

400.00 160.00 92.18 82.98 7.599 1.8351

400.00 160.00 92.18 82.98 7.481 1.8202

400.00 160.00 92.18 82.98 7.509 1.8237

400.00 160.00 92.18 82.98 7.502 1.8229

400.00 160.00 92.18 82.98 7.504 1.8231

400.00 160.00 92.18 82.98 7.504 1.8230400.00 160.00 92.18 82.98 7.504 1.8230

400.00 160.00 92.18 82.98 7.504 1.8230

2 - 5 200.00 110.00 92.18 89.48 2.702 1.203

Q =

=

Hi= -0.0044886

NODO TUBERA L (m) D (mm) ! (m) " (m#$)3 3 - 2 400.00 160.00 82.98 92.18 9.194 2.0276

400.00 160.00 82.98 92.18 9.194 2.0276

400.00 160.00 82.98 92.18 7.098 1.7706

400.00 160.00 82.98 92.18 7.595 1.8347

400.00 160.00 82.98 92.18 7.478 1.8197

400.00 160.00 82.98 92.18 7.505 1.8232

400.00 160.00 82.98 92.18 7.499 1.8224

400.00 160.00 82.98 92.18 7.500 1.8226

400.00 160.00 82.98 92.18 7.500 1.8226

400.00 160.00 82.98 92.18 7.500 1.82263 - 4 200.00 110.00 82.98 83.25 0.266 0.3425

Q =

=

Hi= -0.0116551

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

4 4 - 3 200.00 110.00 83.25 82.97 0.277 0.3507

4 - 5 400.00 160.00 83.25 89.48 6.230 1.6534

Q =

-Qdi =

=

Hi= -0.0102593

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

-Qdi =

%& %'

-Qdi =

%&

%'

%&

%'

7/26/2019 METODO 1 Cross Correccion Presiones

12/85

5 5 - 2 200.00 110.00 89.48 92.18 2.698 1.2019

5 - 4 400.00 160.00 89.48 83.24 6.241 1.6549

5 - 6 600.00 200.00 89.48 96.56 7.086 1.6491

Q =

-Qdi =

=

Hi= -0.0049422

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

6 6 - 1 300.00 250.00 96.56 100.00 3.436 1.8703

6 - 5 600.00 200.00 96.56 89.47 7.091 1.6497

Q =

-Qdi =

=

Hi= -0.0010349

CICLO

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

2 1 - 2 500.00 250.00 92.18 100.00 7.824 2.2015

2 - 3 400.00 160.00 92.18 82.97 9.205 2.0289

400.00 160.00 92.18 82.97 7.106 1.7718

400.00 160.00 92.18 82.97 7.605 1.8359

400.00 160.00 92.18 82.97 7.487 1.8209

400.00 160.00 92.18 82.97 7.515 1.8244

400.00 160.00 92.18 82.97 7.508 1.8236

400.00 160.00 92.18 82.97 7.510 1.8238

400.00 160.00 92.18 82.97 7.509 1.8238

400.00 160.00 92.18 82.97 7.510 1.8238

400.00 160.00 92.18 82.97 7.510 1.8238

2 - 5 200.00 110.00 92.18 89.47 2.703 1.203

Q =

=

Hi= -0.0030535

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

3 3 - 2 400.00 160.00 82.97 92.17 9.202 2.0286

400.00 160.00 82.97 92.17 9.202 2.0286

400.00 160.00 82.97 92.17 7.104 1.7714

400.00 160.00 82.97 92.17 7.602 1.8356

%&

%'

%&

%'

-Qdi =

%&

%'

7/26/2019 METODO 1 Cross Correccion Presiones

13/85

400.00 160.00 82.97 92.17 7.484 1.8206

400.00 160.00 82.97 92.17 7.512 1.8241

400.00 160.00 82.97 92.17 7.506 1.8233

400.00 160.00 82.97 92.17 7.507 1.8235

400.00 160.00 82.97 92.17 7.507 1.8234

400.00 160.00 82.97 92.17 7.507 1.8235

3 - 4 200.00 110.00 82.97 83.24 0.267 0.3435Q =

=

Hi= -0.0084906

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

4 4 - 3 200.00 110.00 83.24 82.96 0.276 0.3495

4 - 5 400.00 160.00 83.24 89.47 6.236 1.6542

Q =-Qdi =

=

Hi= -0.0071733

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

5 5 - 2 200.00 110.00 89.47 92.17 2.699 1.2024

5 - 4 400.00 160.00 89.47 83.23 6.243 1.6552

5 - 6 600.00 200.00 89.47 96.56 7.090 1.6496

Q =

-Qdi =

=

Hi= -0.0034017

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

6 6 - 1 300.00 250.00 96.56 100.00 3.437 1.8706

6 - 5 600.00 200.00 96.56 89.47 7.093 1.6500

Q =

-Qdi =

=

Hi= -0.0007186

* CICLO

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

-Qdi =

%&

%'

%&

%'

%&

%'

%&

%'

7/26/2019 METODO 1 Cross Correccion Presiones

14/85

2 1 - 2 500.00 250.00 92.17 100.00 7.827 2.2020

2 - 3 400.00 160.00 92.17 82.96 9.211 2.0296

400.00 160.00 92.17 82.96 7.111 1.7723

400.00 160.00 92.17 82.96 7.609 1.8364

400.00 160.00 92.17 82.96 7.491 1.8214

400.00 160.00 92.17 82.96 7.519 1.8250

400.00 160.00 92.17 82.96 7.513 1.8242400.00 160.00 92.17 82.96 7.514 1.8244

400.00 160.00 92.17 82.96 7.514 1.8243

400.00 160.00 92.17 82.96 7.514 1.8243

400.00 160.00 92.17 82.96 7.514 1.8243

2 - 5 200.00 110.00 92.17 89.47 2.703 1.203

Q =

=

Hi= -0.0021862

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

3 3 - 2 400.00 160.00 82.96 92.17 9.209 2.0293

400.00 160.00 82.96 92.17 9.209 2.0293

400.00 160.00 82.96 92.17 7.109 1.7721

400.00 160.00 82.96 92.17 7.608 1.8362

400.00 160.00 82.96 92.17 7.490 1.8212

400.00 160.00 82.96 92.17 7.517 1.8248

400.00 160.00 82.96 92.17 7.511 1.8239

400.00 160.00 82.96 92.17 7.512 1.8241400.00 160.00 82.96 92.17 7.512 1.8241

400.00 160.00 82.96 92.17 7.512 1.8241

3 - 4 200.00 110.00 82.96 83.23 0.269 0.3445

Q =

=

Hi= -0.0059364

NODO TUBERA L (m) D (mm) ! (m) " (m#$)4 4 - 3 200.00 110.00 83.23 82.96 0.274 0.3486

4 - 5 400.00 160.00 83.23 89.47 6.239 1.6547

Q =

-Qdi =

=

Hi= -0.0050028

-Qdi =

%&

%'

-Qdi =

%& %'

7/26/2019 METODO 1 Cross Correccion Presiones

15/85

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

5 5 - 2 200.00 110.00 89.47 92.17 2.701 1.2027

5 - 4 400.00 160.00 89.47 83.23 6.244 1.6554

5 - 6 600.00 200.00 89.47 96.56 7.092 1.6499

Q =

-Qdi = =

Hi= -0.0023884

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

6 6 - 1 300.00 250.00 96.56 100.00 3.438 1.8708

6 - 5 600.00 200.00 96.56 89.47 7.095 1.6502

Q =

-Qdi =

=

Hi= -0.0005049

10 CICLO

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

2 1 - 2 500.00 250.00 92.17 100.00 7.829 2.2023

2 - 3 400.00 160.00 92.17 82.96 9.215 2.0300

400.00 160.00 92.17 82.96 7.113 1.7727

400.00 160.00 92.17 82.96 7.612 1.8368

400.00 160.00 92.17 82.96 7.494 1.8218

400.00 160.00 92.17 82.96 7.522 1.8254

400.00 160.00 92.17 82.96 7.516 1.8245

400.00 160.00 92.17 82.96 7.517 1.8247

400.00 160.00 92.17 82.96 7.517 1.8247

400.00 160.00 92.17 82.96 7.517 1.8247

400.00 160.00 92.17 82.96 7.517 1.8247

2 - 5 200.00 110.00 92.17 89.47 2.703 1.203

Q =

=

Hi= -0.0015301

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

3 3 - 2 400.00 160.00 82.96 92.17 9.213 2.0298

400.00 160.00 82.96 92.17 9.213 2.0298

%&

%'

%&

%'

%& %'

-Qdi =

%&

%'

7/26/2019 METODO 1 Cross Correccion Presiones

16/85

400.00 160.00 82.96 92.17 7.112 1.7725

400.00 160.00 82.96 92.17 7.611 1.8367

400.00 160.00 82.96 92.17 7.493 1.8217

400.00 160.00 82.96 92.17 7.521 1.8252

400.00 160.00 82.96 92.17 7.514 1.8244

400.00 160.00 82.96 92.17 7.516 1.8246

400.00 160.00 82.96 92.17 7.516 1.8245400.00 160.00 82.96 92.17 7.516 1.8246

3 - 4 200.00 110.00 82.96 83.23 0.269 0.3451

Q =

=

Hi= -0.0041377

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

4 4 - 3 200.00 110.00 83.23 82.95 0.274 0.34804 - 5 400.00 160.00 83.23 89.47 6.242 1.6551

Q =

-Qdi =

=

Hi= -0.0034947

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

5 5 - 2 200.00 110.00 89.47 92.17 2.702 1.2029

5 - 4 400.00 160.00 89.47 83.22 6.246 1.6556

5 - 6 600.00 200.00 89.47 96.56 7.094 1.6502

Q =

-Qdi =

=

Hi= -0.0016698

NODO TUBERA L (m) D (mm) ! (m) " (m#$)

6 6 - 1 300.00 250.00 96.56 100.00 3.438 1.8710

6 - 5 600.00 200.00 96.56 89.47 7.096 1.6504

Q =

-Qdi =

=

Hi= -0.0003528

EN RESU+EN:

-Qdi =

%&

%'

%&

%'

%&

%'

7/26/2019 METODO 1 Cross Correccion Presiones

17/85

TUBERIA 1,2 2,3 3,4 4,5 2,5 5,6

CAUDAL( -#$) 108.11 36.69 3.28 33.28 11.43 51.84

NODO 1 2 3 4 5 6PRESIN (m) 100 92.169 82.952 83.222 89.466 96.562

7/26/2019 METODO 1 Cross Correccion Presiones

18/85

TACNA

ERIA CIVIL

40 L/s

- 160 mm 3

10 L/s

110 mm

II -

200 m

- 160 mm 4

30 L/s

.#!

0.1093 0.013666

0.0468 0.0039

0.0409 0.0044

0.0424 0.0043

0.0420 0.0043

0.0421 0.0043

0.0421 0.0043

0.0421 0.0043

. (m3#$)

N DE PRESIONESN DE PRESIONES

7/26/2019 METODO 1 Cross Correccion Presiones

19/85

0.0421 0.0043

0.0421 0.0043

-0.0421 0.0043

-0.0097 0.0049

0.0575 0.02284

-0.0600

-0.0025

.#!

0.0464 0.0039

0.0464 0.0039

0.0405 0.0045

0.0420 0.0043

0.0416 0.0044

0.0417 0.00430.0417 0.0043

0.0417 0.0043

0.0417 0.0043

0.0417 0.0043

-0.0158 0.0032

0.0258 0.00751

-0.0400

-0.0142

.#!

0.0075 0.0061

0.0526 0.0035

0.0601 0.00960

-0.0300

0.0301

.#!

0.0092 0.0051

-0.0397 0.0045

0.0431 0.0086

0.0126 0.0183

-0.0300

-0.0174

. (m3#$)

. (m3#$)

. (m3#$)

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20/85

.#!

0.1117 0.0223

-0.0511 0.0074

0.0606 0.0297-0.0400

0.0206

.#!

0.1109 0.0135

0.0536 0.0034

0.0467 0.0039

0.0484 0.0038

0.0480 0.0038

0.0481 0.0038

0.0481 0.0038

0.0481 0.0038

0.0481 0.0038

0.0481 0.0038

-0.0481 0.0038

-0.0135 0.00370.0493 0.02096

-0.0600

-0.0107

.#!

0.0517 0.0036

0.0517 0.0036

0.0451 0.0040

0.0468 0.0039

0.0464 0.0039

0.0465 0.0039

0.0464 0.0039

0.0465 0.0039

0.0465 0.0039

0.0465 0.0039

. (m3#$)

. (m3#$)

. (m3#$)

7/26/2019 METODO 1 Cross Correccion Presiones

21/85

0.0159 0.0032

0.0623 0.00709

-0.0400

0.0223

.#!

0.0076 0.0060

0.0349 0.0051

0.0425 0.01113

-0.0300

0.0125

.#!

0.0113 0.0043

-0.0283 0.0062

0.0562 0.0068

0.0393 0.0172

-0.0300

0.0093

.#!

0.0943 0.0261

-0.0523 0.0073

0.0420 0.0333

-0.0400

0.0020

.#!

0.1178 0.0128

0.0385 0.0047

0.0336 0.0053

0.0348 0.0051

0.0345 0.0052

0.0346 0.0051

. (m3#$)

. (m3#$)

. (m3#$)

. (m3#$)

7/26/2019 METODO 1 Cross Correccion Presiones

22/85

0.0346 0.0052

0.0346 0.0051

0.0346 0.0052

0.0346 0.0052

-0.0346 0.0052

-0.0086 0.0054

0.0747 0.02334-0.0600

0.0147

.#!

0.0414 0.0044

0.0414 0.0044

0.0362 0.0049

0.0375 0.00480.0372 0.0048

0.0372 0.0048

0.0372 0.0048

0.0372 0.0048

0.0372 0.0048

0.0372 0.0048

0.0066 0.0068

0.0439 0.01159

-0.0400

0.0039

.#!

-0.0036 0.0114

0.0316 0.0056

0.0281 0.01699

-0.0300

-0.0019

.#!

0.0117 0.0041

-0.0323 0.0055

0.0527 0.0072

0.0322 0.0168

. (m3#$)

. (m3#$)

. (m3#$)

7/26/2019 METODO 1 Cross Correccion Presiones

23/85

-0.0300

0.0022

.#!

0.0926 0.0265-0.0517 0.0073

0.0409 0.0338

-0.0400

0.0009

.#!

0.1092 0.0137

0.0399 0.0045

0.0348 0.0051

0.0361 0.0050

0.0358 0.0050

0.0359 0.0050

0.0358 0.0050

0.0358 0.0050

0.0358 0.0050

0.0358 0.0050-0.0358 0.0050

-0.0112 0.0043

0.0622 0.02299

-0.0600

0.0022

.#!

0.0403 0.0045

0.0403 0.0045

0.0352 0.0051

0.0365 0.0049

0.0362 0.0049

0.0363 0.0049

0.0362 0.0049

0.0362 0.0049

. (m3#$)

. (m3#$)

. (m3#$)

7/26/2019 METODO 1 Cross Correccion Presiones

24/85

0.0362 0.0049

0.0362 0.0049

0.0017 0.0205

0.0380 0.02543

-0.0400

-0.0020

.#!

-0.0031 0.0127

0.0330 0.0054

0.0299 0.01809

-0.0300

-0.0001

.#!

0.0116 0.0042

-0.0330 0.0054

0.0519 0.0073

0.0305 0.0168

-0.0300

0.0005

.#!

0.0919 0.0267

-0.0517 0.0073

0.0402 0.0340

-0.0400

0.0002

.#!

0.1078 0.0138

0.0407 0.0044

0.0355 0.0050

0.0368 0.0049

. (m3#$)

. (m3#$)

. (m3#$)

. (m3#$)

7/26/2019 METODO 1 Cross Correccion Presiones

25/85

0.0365 0.0049

0.0366 0.0049

0.0366 0.0049

0.0366 0.0049

0.0366 0.0049

0.0366 0.0049

-0.0366 0.0049-0.0115 0.0042

0.0598 0.02296

-0.0600

-0.0002

.#!

0.0407 0.0044

0.0407 0.00440.0355 0.0050

0.0368 0.0049

0.0365 0.0049

0.0366 0.0049

0.0365 0.0049

0.0365 0.0049

0.0365 0.0049

0.0365 0.0049

0.0030 0.0130

0.0396 0.01785-0.0400

-0.0004

.#!

-0.0034 0.0119

0.0332 0.0053

0.0298 0.01728

-0.0300

-0.0002

.#!

0.0114 0.0042

-0.0333 0.0053

. (m3#$)

. (m3#$)

. (m3#$)

7/26/2019 METODO 1 Cross Correccion Presiones

26/85

0.0518 0.0073

0.0299 0.0169

-0.0300

-0.0001

.#!

0.0917 0.0267

-0.0518 0.0073

0.0400 0.0341

-0.0400

0.0000

.#!

0.1080 0.0138

0.0408 0.0044

0.0356 0.0050

0.0369 0.0049

0.0366 0.0049

0.0367 0.0049

0.0366 0.0049

0.0366 0.0049

0.0366 0.0049

0.0366 0.0049

-0.0366 0.0049

-0.0114 0.0042

0.0599 0.02294

-0.0600

-0.0001

.#!

0.0407 0.0044

0.0407 0.0044

0.0356 0.0050

0.0369 0.0049

0.0366 0.0049

0.0366 0.0049

. (m3#$)

. (m3#$)

. (m3#$)

7/26/2019 METODO 1 Cross Correccion Presiones

27/85

0.0366 0.0049

0.0366 0.0049

0.0366 0.0049

0.0366 0.0049

0.0032 0.0123

0.0399 0.01718

-0.0400-0.0001

.#!

-0.0033 0.0120

0.0332 0.0053

0.0299 0.01731

-0.0300

-0.0001

.#!

0.0114 0.0042

-0.0333 0.0053

0.0518 0.0073

0.0299 0.0169

-0.0300

-0.0001

.#!

0.0918 0.0267

-0.0518 0.0073

0.0400 0.0340

-0.0400

0.0000

.#!

0.1080 0.0138

0.0408 0.0044

. (m3#$)

. (m3#$)

. (m3#$)

. (m3#$)

7/26/2019 METODO 1 Cross Correccion Presiones

28/85

0.0356 0.0050

0.0369 0.0049

0.0366 0.0049

0.0367 0.0049

0.0367 0.0049

0.0367 0.0049

0.0367 0.00490.0367 0.0049

-0.0367 0.0049

-0.0114 0.0042

0.0599 0.02293

-0.0600

-0.0001

.#!0.0408 0.0044

0.0408 0.0044

0.0356 0.0050

0.0369 0.0049

0.0366 0.0049

0.0367 0.0049

0.0366 0.0049

0.0366 0.0049

0.0366 0.0049

0.0366 0.00490.0033 0.0122

0.0399 0.01713

-0.0400

-0.0001

.#!

-0.0033 0.0120

0.0332 0.00530.0299 0.01735

-0.0300

-0.0001

.#!

. (m3#$)

. (m3#$)

. (m3#$)

7/26/2019 METODO 1 Cross Correccion Presiones

29/85

0.0114 0.0042

-0.0333 0.0053

0.0518 0.0073

0.0300 0.0169

-0.0300

0.0000

.#!

0.0918 0.0267

-0.0518 0.0073

0.0400 0.0340

-0.0400

0.0000

.#!

0.1081 0.0138

0.0408 0.0044

0.0356 0.0050

0.0369 0.0049

0.0366 0.0049

0.0367 0.0049

0.0367 0.0049

0.0367 0.0049

0.0367 0.0049

0.0367 0.0049

-0.0367 0.0049

-0.0114 0.0042

0.0600 0.02293

-0.0600

0.0000

.#!

0.0408 0.0044

0.0408 0.0044

0.0356 0.0050

0.0369 0.0049

. (m3#$)

. (m3#$)

. (m3#$)

7/26/2019 METODO 1 Cross Correccion Presiones

30/85

0.0366 0.0049

0.0367 0.0049

0.0367 0.0049

0.0367 0.0049

0.0367 0.0049

0.0367 0.0049

0.0033 0.01220.0399 0.01710

-0.0400

-0.0001

.#!

-0.0033 0.0120

0.0333 0.0053

0.0299 0.01738-0.0300

-0.0001

.#!

0.0114 0.0042

-0.0333 0.0053

0.0518 0.0073

0.0300 0.0169

-0.0300

0.0000

.#!

0.0918 0.0267

-0.0518 0.0073

0.0400 0.0340

-0.0400

0.0000

.#!

. (m3#$)

. (m3#$)

. (m3#$)

. (m3#$)

7/26/2019 METODO 1 Cross Correccion Presiones

31/85

0.1081 0.0138

0.0408 0.0044

0.0356 0.0050

0.0369 0.0049

0.0366 0.0049

0.0367 0.0049

0.0367 0.00490.0367 0.0049

0.0367 0.0049

0.0367 0.0049

-0.0367 0.0049

-0.0114 0.0042

0.0600 0.02292

-0.0600

0.0000

.#!

0.0408 0.0044

0.0408 0.0044

0.0356 0.0050

0.0369 0.0049

0.0366 0.0049

0.0367 0.0049

0.0367 0.0049

0.0367 0.00490.0367 0.0049

0.0367 0.0049

0.0033 0.0122

0.0399 0.01707

-0.0400

-0.0001

.#!-0.0033 0.0121

0.0333 0.0053

0.0300 0.01740

-0.0300

0.0000

. (m3#$)

. (m3#$)

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.#!

0.0114 0.0042

-0.0333 0.0053

0.0518 0.0073

0.0300 0.0169

-0.03000.0000

.#!

0.0918 0.0267

-0.0518 0.0073

0.0400 0.0340

-0.0400

0.0000

.#!

0.1081 0.0138

0.0408 0.0044

0.0356 0.0050

0.0369 0.0049

0.0366 0.0049

0.0367 0.0049

0.0367 0.0049

0.0367 0.0049

0.0367 0.0049

0.0367 0.0049

-0.0367 0.0049

-0.0114 0.0042

0.0600 0.02292

-0.0600

0.0000

.#!

0.0408 0.0044

0.0408 0.0044

. (m3#$)

. (m3#$)

. (m3#$)

. (m3#$)

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33/85

0.0356 0.0050

0.0369 0.0049

0.0366 0.0049

0.0367 0.0049

0.0367 0.0049

0.0367 0.0049

0.0367 0.00490.0367 0.0049

0.0033 0.0122

0.0400 0.01705

-0.0400

0.0000

.#!

-0.0033 0.01210.0333 0.0053

0.0300 0.01742

-0.0300

0.0000

.#!

0.0114 0.0042

-0.0333 0.0053

0.0518 0.0073

0.0300 0.0169

-0.0300

0.0000

.#!

0.0918 0.0267

-0.0518 0.0073

0.0400 0.0340

-0.0400

0.0000

. (m3#$)

. (m3#$)

. (m3#$)

7/26/2019 METODO 1 Cross Correccion Presiones

34/85

1,6

91.84

7/26/2019 METODO 1 Cross Correccion Presiones

35/85

UN

ESCUEL

ALU+NO : M!"#E$ M%&M"E%'( %"%

E$")#E'H *"+ ME$E%&E)

,"%'H" ,*'!E(% *"E!!

(E (%'E "$$(

/EC%A : 19 &E #!"$ &E$ 2010

DATOS:100.00 mca

1.14E-06m2/s

$ 0.06000mm

$ 0.00006 m

m 10.00000

9.80665m/s2

E 0.00001

.200 L#$

1 500 mm - 250 mm 2

120 L#$

0 L#$ 10 L#$

250 mm 110 mm

- I -

300 m 200 mm

6 600 mm - 200 mm 540 L#$

40 L#$

NUDO 1 2 3 4

PRESIN (m) 100 92.00 80.00 75.00

1 CICLO

P1=

=

%!acce

= 10 v2/2g

METODO DEMETODO DE

RITAS T ITA

7/26/2019 METODO 1 Cross Correccion Presiones

36/85

NUDO TUBERA L (m) D (mm)

2 1 - 2 500.00 250.00 92.00 100.00

2 - 3 400.00 160.00 92.00 80.00

400.00 160.00 92.00 80.00

400.00 160.00 92.00 80.00

400.00 160.00 92.00 80.00400.00 160.00 92.00 80.00

400.00 160.00 92.00 80.00

400.00 160.00 92.00 80.00

400.00 160.00 92.00 80.00

400.00 160.00 92.00 80.00

400.00 160.00 92.00 80.00

2 - 5 200.00 110.00 92.00 90.00

Hi= -0.2178668672

NUDO TUBERA L (m) D (mm)

3 3 - 2 400.00 160.00 80.00 91.78

400.00 160.00 80.00 91.78

400.00 160.00 80.00 91.78

400.00 160.00 80.00 91.78

400.00 160.00 80.00 91.78

400.00 160.00 80.00 91.78400.00 160.00 80.00 91.78

400.00 160.00 80.00 91.78

400.00 160.00 80.00 91.78

400.00 160.00 80.00 91.78

3 - 4 200.00 110.00 80.00 75.00

Hi= 6.8829205186

NUDO TUBERA L (m) D (mm)

4 4 - 3 200.00 110.00 75.00 86.88

4 - 5 400.00 160.00 75.00 90.00

%&

%'

%&

%'

%& %'

7/26/2019 METODO 1 Cross Correccion Presiones

37/85

Hi= 16.9585749025

NUDO TUBERA L (m) D (mm)

5 5 - 2 200.00 110.00 90.00 91.78

5 - 4 400.00 160.00 90.00 91.96

5 - 6 600.00 200.00 90.00 95.00

Hi= 3.5092275631

NUDO TUBERA L (m) D (mm)

6 6 - 1 300.00 250.00 95.00 100.00

6 - 5 600.00 200.00 95.00 93.51

Hi= 2.6162587574

2 CICLO

NUDO TUBERA L (m) D (mm)

2 1 - 2 500.00 250.00 91.78 100.00

2 - 3 400.00 160.00 91.78 86.88

400.00 160.00 91.78 86.88

400.00 160.00 91.78 86.88

400.00 160.00 91.78 86.88

400.00 160.00 91.78 86.88

400.00 160.00 91.78 86.88

400.00 160.00 91.78 86.88

400.00 160.00 91.78 86.88

400.00 160.00 91.78 86.88

400.00 160.00 91.78 86.88

2 - 5 200.00 110.00 91.78 93.51

Hi= 2.6505724652

NUDO TUBERA L (m) D (mm)

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3 3 - 2 400.00 160.00 86.88 94.43

400.00 160.00 86.88 94.43

400.00 160.00 86.88 94.43

400.00 160.00 86.88 94.43

400.00 160.00 86.88 94.43

400.00 160.00 86.88 94.43

400.00 160.00 86.88 94.43400.00 160.00 86.88 94.43

400.00 160.00 86.88 94.43

400.00 160.00 86.88 94.43

3 - 4 200.00 110.00 86.88 91.96

Hi= 11.5310946028

NUDO TUBERA L (m) D (mm)

4 4 - 3 200.00 110.00 91.96 98.41

4 - 5 400.00 160.00 91.96 93.51

Hi= 0.6098426429

NUDO TUBERA L (m) D (mm)

5 5 - 2 200.00 110.00 93.51 94.43

5 - 4 400.00 160.00 93.51 92.57

5 - 6 600.00 200.00 93.51 97.62

Hi= 0.2155437661

NUDO TUBERA L (m) D (mm)

6 6 - 1 300.00 250.00 97.62 100.00

6 - 5 600.00 200.00 97.62 93.72

Hi= -0.0953146664

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3 CICLO

NUDO TUBERA L (m) D (mm)

2 1 - 2 500.00 250.00 94.43 100.00

2 - 3 400.00 160.00 94.43 98.41

400.00 160.00 94.43 98.41400.00 160.00 94.43 98.41

400.00 160.00 94.43 98.41

400.00 160.00 94.43 98.41

400.00 160.00 94.43 98.41

400.00 160.00 94.43 98.41

400.00 160.00 94.43 98.41

400.00 160.00 94.43 98.41

400.00 160.00 94.43 98.41

2 - 5 200.00 110.00 94.43 93.72

Hi= 3.0993007796

NUDO TUBERA L (m) D (mm)

3 3 - 2 400.00 160.00 98.41 97.53

400.00 160.00 98.41 97.53

400.00 160.00 98.41 97.53

400.00 160.00 98.41 97.53400.00 160.00 98.41 97.53

400.00 160.00 98.41 97.53

400.00 160.00 98.41 97.53

400.00 160.00 98.41 97.53

400.00 160.00 98.41 97.53

400.00 160.00 98.41 97.53

3 - 4 200.00 110.00 98.41 92.57

Hi= 4.8600532879

NUDO TUBERA L (m) D (mm)

4 4 - 3 200.00 110.00 92.57 103.27

4 - 5 400.00 160.00 92.57 93.72

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Hi= 1.0239773514

NUDO TUBERA L (m) D (mm)

5 5 - 2 200.00 110.00 93.72 97.53

5 - 4 400.00 160.00 93.72 93.59

5 - 6 600.00 200.00 93.72 97.52

Hi= 0.7560328644

NUDO TUBERA L (m) D (mm)

6 6 - 1 300.00 250.00 97.52 100.00

6 - 5 600.00 200.00 97.52 94.48

Hi= 0.2015880015

4 CICLO

NUDO TUBERA L (m) D (mm)

2 1 - 2 500.00 250.00 97.53 100.00

2 - 3 400.00 160.00 97.53 103.27

400.00 160.00 97.53 103.27

400.00 160.00 97.53 103.27

400.00 160.00 97.53 103.27

400.00 160.00 97.53 103.27

400.00 160.00 97.53 103.27

400.00 160.00 97.53 103.27

400.00 160.00 97.53 103.27

400.00 160.00 97.53 103.27

400.00 160.00 97.53 103.27

2 - 5 200.00 110.00 97.53 94.48

Hi= 0.9075084959

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NUDO TUBERA L (m) D (mm)

3 3 - 2 400.00 160.00 103.27 98.44

400.00 160.00 103.27 98.44

400.00 160.00 103.27 98.44

400.00 160.00 103.27 98.44

400.00 160.00 103.27 98.44400.00 160.00 103.27 98.44

400.00 160.00 103.27 98.44

400.00 160.00 103.27 98.44

400.00 160.00 103.27 98.44

400.00 160.00 103.27 98.44

3 - 4 200.00 110.00 103.27 93.59

Hi= 22.6341305317

NUDO TUBERA L (m) D (mm)

4 4 - 3 200.00 110.00 93.59 125.91

4 - 5 400.00 160.00 93.59 94.48

Hi= 3.2333820836

NUDO TUBERA L (m) D (mm)

5 5 - 2 200.00 110.00 94.48 98.44

5 - 4 400.00 160.00 94.48 96.83

5 - 6 600.00 200.00 94.48 97.72

Hi= 3.3762181585

NUDO TUBERA L (m) D (mm)

6 6 - 1 300.00 250.00 97.72 100.00

6 - 5 600.00 200.00 97.72 97.86

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Hi= 1.0332775935

5 CICLO

NUDO TUBERA L (m) D (mm)

2 1 - 2 500.00 250.00 98.44 100.002 - 3 400.00 160.00 98.44 125.91

400.00 160.00 98.44 125.91

400.00 160.00 98.44 125.91

400.00 160.00 98.44 125.91

400.00 160.00 98.44 125.91

400.00 160.00 98.44 125.91

400.00 160.00 98.44 125.91

400.00 160.00 98.44 125.91

400.00 160.00 98.44 125.91

400.00 160.00 98.44 125.912 - 5 200.00 110.00 98.44 97.86

Hi= 2.2229078254

NUDO TUBERA L (m) D (mm)

3 3 - 2 400.00 160.00 125.91 100.66

400.00 160.00 125.91 100.66

400.00 160.00 125.91 100.66

400.00 160.00 125.91 100.66

400.00 160.00 125.91 100.66

400.00 160.00 125.91 100.66

400.00 160.00 125.91 100.66

400.00 160.00 125.91 100.66

400.00 160.00 125.91 100.66

400.00 160.00 125.91 100.66

3 - 4 200.00 110.00 125.91 96.83

Hi= 121.7973944893

NUDO TUBERA L (m) D (mm)

4 4 - 3 200.00 110.00 96.83 247.71

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4 - 5 400.00 160.00 96.83 97.86

Hi= 11.4615978511

NUDO TUBERA L (m) D (mm)

5 5 - 2 200.00 110.00 97.86 100.66

5 - 4 400.00 160.00 97.86 108.29

5 - 6 600.00 200.00 97.86 98.76

Hi= 3.0873854856

NUDO TUBERA L (m) D (mm)

6 6 - 1 300.00 250.00 98.76 100.00

6 - 5 600.00 200.00 98.76 100.94

Hi= 1.4860515826

6 CICLO

NUDO TUBERA L (m) D (mm)

2 1 - 2 500.00 250.00 100.66 100.00

2 - 3 400.00 160.00 100.66 247.71

400.00 160.00 100.66 247.71

400.00 160.00 100.66 247.71

400.00 160.00 100.66 247.71

400.00 160.00 100.66 247.71

400.00 160.00 100.66 247.71

400.00 160.00 100.66 247.71

400.00 160.00 100.66 247.71

400.00 160.00 100.66 247.71

400.00 160.00 100.66 247.71

2 - 5 200.00 110.00 100.66 100.94

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Hi= -4.2812890162

NUDO TUBERA L (m) D (mm)

3 3 - 2 400.00 160.00 247.71 96.38

400.00 160.00 247.71 96.38

400.00 160.00 247.71 96.38400.00 160.00 247.71 96.38

400.00 160.00 247.71 96.38

400.00 160.00 247.71 96.38

400.00 160.00 247.71 96.38

400.00 160.00 247.71 96.38

400.00 160.00 247.71 96.38

400.00 160.00 247.71 96.38

3 - 4 200.00 110.00 247.71 108.29

Hi= 759.6478548051

NUDO TUBERA L (m) D (mm)

4 4 - 3 200.00 110.00 108.29 1007.35

4 - 5 400.00 160.00 108.29 100.94

Hi= 61.3689946963

NUDO TUBERA L (m) D (mm)

5 5 - 2 200.00 110.00 100.94 96.38

5 - 4 400.00 160.00 100.94 169.66

5 - 6 600.00 200.00 100.94 100.24

Hi= 4.1681654107

NUDO TUBERA L (m) D (mm)

6 6 - 1 300.00 250.00 100.24 100.00

6 - 5 600.00 200.00 100.24 105.11

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Hi= -0.3917838242

CICLO

NUDO TUBERA L (m) D (mm)

2 1 - 2 500.00 250.00 96.38 100.00

2 - 3 400.00 160.00 96.38 1007.35

400.00 160.00 96.38 1007.35

400.00 160.00 96.38 1007.35

400.00 160.00 96.38 1007.35

400.00 160.00 96.38 1007.35

400.00 160.00 96.38 1007.35

400.00 160.00 96.38 1007.35

400.00 160.00 96.38 1007.35400.00 160.00 96.38 1007.35

400.00 160.00 96.38 1007.35

2 - 5 200.00 110.00 96.38 105.11

Hi= 36.1966757763

NUDO TUBERA L (m) D (mm)3 3 - 2 400.00 160.00 1007.35 132.58

400.00 160.00 1007.35 132.58

400.00 160.00 1007.35 132.58

400.00 160.00 1007.35 132.58

400.00 160.00 1007.35 132.58

400.00 160.00 1007.35 132.58

400.00 160.00 1007.35 132.58

400.00 160.00 1007.35 132.58

400.00 160.00 1007.35 132.58

400.00 160.00 1007.35 132.583 - 4 200.00 110.00 1007.35 169.66

Hi=4309.1581992765

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NUDO TUBERA L (m) D (mm)

4 4 - 3 200.00 110.00 169.66 5316.51

4 - 5 400.00 160.00 169.66 105.11

Hi= 435.9843025604

NUDO TUBERA L (m) D (mm)

5 5 - 2 200.00 110.00 105.11 132.58

5 - 4 400.00 160.00 105.11 605.64

5 - 6 600.00 200.00 105.11 99.85

Hi= 53.5031752517

NUDO TUBERA L (m) D (mm)

6 6 - 1 300.00 250.00 99.85 100.00

6 - 5 600.00 200.00 99.85 158.62

Hi= 2.2601337384

CICLO

NUDO TUBERA L (m) D (mm)

2 1 - 2 500.00 250.00 132.58 100.00

2 - 3 400.00 160.00 132.58 5316.51

400.00 160.00 132.58 5316.51

400.00 160.00 132.58 5316.51

400.00 160.00 132.58 5316.51

400.00 160.00 132.58 5316.51

400.00 160.00 132.58 5316.51

400.00 160.00 132.58 5316.51

400.00 160.00 132.58 5316.51

400.00 160.00 132.58 5316.51

400.00 160.00 132.58 5316.51

2 - 5 200.00 110.00 132.58 158.62

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Hi= -251.34095131

NUDO TUBERA L (m) D (mm)

3 3 - 2 400.00 160.00 5316.51 -118.76

400.00 160.00 5316.51 -118.76

400.00 160.00 5316.51 -118.76

400.00 160.00 5316.51 -118.76

400.00 160.00 5316.51 -118.76

400.00 160.00 5316.51 -118.76

400.00 160.00 5316.51 -118.76

400.00 160.00 5316.51 -118.76

400.00 160.00 5316.51 -118.76

400.00 160.00 5316.51 -118.76

3 - 4 200.00 110.00 5316.51 605.64

Hi=27525.179144537

NUDO TUBERA L (m) D (mm)

4 4 - 3 200.00 110.00 605.64 32841.69

4 - 5 400.00 160.00 605.64 158.62

Hi=2904.4603304924

NUDO TUBERA L (m) D (mm)

5 5 - 2 200.00 110.00 158.62 -118.76

5 - 4 400.00 160.00 158.62 3510.10

5 - 6 600.00 200.00 158.62 102.11

Hi= 303.7552496009

NUDO TUBERA L (m) D (mm)

6 6 - 1 300.00 250.00 102.11 100.00

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6 - 5 600.00 200.00 102.11 462.37

Hi= 16.044824637

* CICLO

NUDO TUBERA L (m) D (mm)

2 1 - 2 500.00 250.00 -118.76 100.00

2 - 3 400.00 160.00 -118.76 32841.69

400.00 160.00 -118.76 32841.69

400.00 160.00 -118.76 32841.69

400.00 160.00 -118.76 32841.69

400.00 160.00 -118.76 32841.69

400.00 160.00 -118.76 32841.69400.00 160.00 -118.76 32841.69

400.00 160.00 -118.76 32841.69

400.00 160.00 -118.76 32841.69

400.00 160.00 -118.76 32841.69

2 - 5 200.00 110.00 -118.76 462.37

Hi=1935.5838639803

NUDO TUBERA L (m) D (mm)

3 3 - 2 400.00 160.00 32841.69 1816.82

400.00 160.00 32841.69 1816.82

400.00 160.00 32841.69 1816.82

400.00 160.00 32841.69 1816.82

400.00 160.00 32841.69 1816.82

400.00 160.00 32841.69 1816.82

400.00 160.00 32841.69 1816.82

400.00 160.00 32841.69 1816.82400.00 160.00 32841.69 1816.82

400.00 160.00 32841.69 1816.82

3 - 4 200.00 110.00 32841.69 3510.10

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Hi=152637.11115537

NUDO TUBERA L (m) D (mm)

4 4 - 3 200.00 110.00 3510.10 185478.80

4 - 5 400.00 160.00 3510.10 462.37

Hi=17583.269331522

NUDO TUBERA L (m) D (mm)

5 5 - 2 200.00 110.00 462.37 1816.82

5 - 4 400.00 160.00 462.37 21093.37

5 - 6 600.00 200.00 462.37 118.16

Hi=2703.0957851054

NUDO TUBERA L (m) D (mm)

6 6 - 1 300.00 250.00 118.16 100.00

6 - 5 600.00 200.00 118.16 3165.47

Hi= 143.3173815198

10 CICLO

NUDO TUBERA L (m) D (mm)

2 1 - 2 500.00 250.00 1816.82 100.00

2 - 3 400.00 160.00 1816.82 185478.80

400.00 160.00 1816.82 185478.80

400.00 160.00 1816.82 185478.80

400.00 160.00 1816.82 185478.80

400.00 160.00 1816.82 185478.80

400.00 160.00 1816.82 185478.80

400.00 160.00 1816.82 185478.80

400.00 160.00 1816.82 185478.80

400.00 160.00 1816.82 185478.80

400.00 160.00 1816.82 185478.80

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2 - 5 200.00 110.00 1816.82 3165.47

Hi= -10799.671218102

NUDO TUBERA L (m) D (mm)

3 3 - 2 400.00 160.00 185478.80 -8982.85

400.00 160.00 185478.80 -8982.85

400.00 160.00 185478.80 -8982.85

400.00 160.00 185478.80 -8982.85

400.00 160.00 185478.80 -8982.85

400.00 160.00 185478.80 -8982.85

400.00 160.00 185478.80 -8982.85

400.00 160.00 185478.80 -8982.85

400.00 160.00 185478.80 -8982.85400.00 160.00 185478.80 -8982.85

3 - 4 200.00 110.00 185478.80 21093.37

Hi=991408.58443953

NUDO TUBERA L (m) D (mm)

4 4 - 3 200.00 110.00 21093.37 1176887.39

4 - 5 400.00 160.00 21093.37 3165.47

Hi=109592.33473321

NUDO TUBERA L (m) D (mm)

5 5 - 2 200.00 110.00 3165.47 -8982.85

5 - 4 400.00 160.00 3165.47 130685.71

5 - 6 600.00 200.00 3165.47 261.47

Hi=12590.373476496

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NUDO TUBERA L (m) D (mm)

6 6 - 1 300.00 250.00 261.47 100.00

6 - 5 600.00 200.00 261.47 15755.84

Hi= 883.5684002781

EN RESU+EN:

TUBERIA 1,2 2,3 3,4 4,5

CAUDAL( -#$) 1679.69 5439.26 3065.14 1901.77

NUDO 1 2 3 4

PRESIN (m) 100 -8982.850 1176887.386 130685.705

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IVERSIDAD PRIVADA DE TACNA

FACULTAD DE INGENIERIA

PROFESIONAL DE INGENIERIA CIVIL

60 L#$ 40 L#$

400 mm - 160 mm 3

50 L#$

10 L#$

110 mm

II -

200 mm

400 mm - 160 mm 420 L#$

30 L#$ 30 L#$

5 6

90.00 95.00

CALCULO DE PRESIONESCALCULO DE PRESIONES

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! (m) " (m#$) .#!

8.000 2.2272 0.1093 0.013666

12.000 2.3300 0.0468 0.0039

9.232 2.0320 0.0409 0.0044

9.895 2.1070 0.0424 0.0043

9.737 2.0893 0.0420 0.00439.774 2.0935 0.0421 0.0043

9.765 2.0925 0.0421 0.0043

9.768 2.0928 0.0421 0.0043

9.767 2.0927 0.0421 0.0043

9.767 2.0927 0.0421 0.0043

9.767 2.0927 -0.0421 0.0043

2.000 1.025 -0.0097 0.0049

Q = 0.0575 0.02284

-0.0600

= -0.0025

! (m) " (m#$) .#!

11.782 2.3078 0.0464 0.0039

11.782 2.3078 0.0464 0.0039

9.067 2.0129 0.0405 0.0045

9.716 2.0870 0.0420 0.0043

9.561 2.0696 0.0416 0.0044

9.598 2.0737 0.0417 0.00439.590 2.0728 0.0417 0.0043

9.592 2.0730 0.0417 0.0043

9.591 2.0729 0.0417 0.0043

9.591 2.0729 0.0417 0.0043

5.000 1.6656 -0.0158 0.0032

Q = 0.0258 0.00751

0.0000

= 0.0258

! (m) " (m#$) .#!

11.883 2.6189 0.0249 0.0021

15.000 2.6167 0.0526 0.0035

Q = 0.0775 0.00560

-Qdi = -0.0300

= 0.0475

. (m3#$)

-Qdi =

. (m3#$)

-Qdi =

. (m3#$)

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! (m) " (m#$) .#!

1.782 0.9636 0.0092 0.0051

1.959 0.8949 0.0180 0.0092

5.000 1.3724 0.0431 0.0086

Q = 0.0703 0.0229

-Qdi = -0.0300

= 0.0403

! (m) " (m#$) .#!

5.000 2.2751 0.1117 0.0223

1.491 0.7199 -0.0226 0.0152

Q = 0.0891 0.0375

-Qdi = -0.0400

= 0.0491

! (m) " (m#$) .#!

8.218 2.2586 0.1109 0.0135

4.899 1.4568 0.0293 0.0060

3.817 1.2767 0.0257 0.0067

4.068 1.3205 0.0266 0.0065

4.010 1.3105 0.0263 0.0066

4.024 1.3128 0.0264 0.0066

4.020 1.3123 0.0264 0.0066

4.021 1.3124 0.0264 0.0066

4.021 1.3124 0.0264 0.0066

4.021 1.3124 0.0264 0.0066

4.021 1.3124 -0.0264 0.0066

1.727 0.948 0.0090 0.0052

Q = 0.0935 0.02527

-0.0600

= 0.0335

! (m) " (m#$) .#!

. (m3#$)

. (m3#$)

. (m3#$)

-Qdi =

. (m3#$)

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7.550 1.8289 0.0368 0.0049

7.550 1.8289 0.0368 0.0049

5.844 1.5987 0.0321 0.0055

6.247 1.6557 0.0333 0.0053

6.152 1.6425 0.0330 0.0054

6.174 1.6456 0.0331 0.0054

6.169 1.6449 0.0331 0.00546.170 1.6450 0.0331 0.0054

6.170 1.6450 0.0331 0.0054

6.170 1.6450 0.0331 0.0054

5.076 1.6788 0.0160 0.0031

Q = 0.0490 0.00850

0.0000

= 0.0490

! (m) " (m#$) .#!

6.455 1.9048 0.0181 0.0028

1.551 0.7896 0.0159 0.0102

Q = 0.0340 0.01304

-Qdi = -0.0300

= 0.0040

! (m) " (m#$) .#!

0.923 0.6766 0.0064 0.0070

0.941 0.6030 -0.0121 0.0129

4.107 1.2367 0.0389 0.0095

Q = 0.0332 0.0293

-Qdi = -0.0300

= 0.0032

! (m) " (m#$) .#!

2.384 1.5438 0.0758 0.0318

3.891 1.2019 -0.0378 0.0097

Q = 0.0380 0.0415

-Qdi = -0.0400

= -0.0020

-Qdi =

. (m3#$)

. (m3#$)

. (m3#$)

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! (m) " (m#$) .#!

5.567 1.8429 0.0905 0.0162

3.981 1.3055 0.0262 0.0066

3.112 1.1457 0.0230 0.00743.312 1.1842 0.0238 0.0072

3.266 1.1755 0.0236 0.0072

3.277 1.1775 0.0237 0.0072

3.274 1.1770 0.0237 0.0072

3.275 1.1771 0.0237 0.0072

3.275 1.1771 0.0237 0.0072

3.275 1.1771 0.0237 0.0072

3.275 1.1771 0.0237 0.0072

0.708 0.586 -0.0056 0.0079

Q = 0.1086 0.03134-0.0600

= 0.0486

! (m) " (m#$) .#!

0.882 0.5823 -0.0117 -0.0133

0.882 0.5823 0.0117 0.0133

0.709 0.5172 0.0104 0.0147

0.746 0.5315 0.0107 0.01430.738 0.5285 0.0106 0.0144

0.740 0.5292 0.0106 0.0144

0.739 0.5290 0.0106 0.0144

0.739 0.5291 0.0106 0.0144

0.739 0.5291 0.0106 0.0144

0.739 0.5291 -0.0106 -0.0144

5.846 1.8082 -0.0172 0.0029

Q = -0.0278 -0.01145

0.0000

= -0.0278

! (m) " (m#$) .#!

10.706 2.4806 0.0236 0.0022

1.156 0.6741 0.0136 0.0117

Q = 0.0371 0.01392

. (m3#$)

-Qdi =

. (m3#$)

-Qdi =

. (m3#$)

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-Qdi = -0.0300

= 0.0071

! (m) " (m#$) .#!

3.807 1.4427 0.0137 0.00360.132 0.2051 -0.0041 0.0312

3.796 1.1862 0.0373 0.0098

Q = 0.0469 0.0446

-Qdi = -0.0300

= 0.0169

! (m) " (m#$) .#!

2.479 1.5760 0.0774 0.0312

3.040 1.0541 -0.0331 0.0109

Q = 0.0442 0.0421

-Qdi = -0.0400

= 0.0042

! (m) " (m#$) .#!

2.468 1.2006 0.0589 0.0239

5.742 1.5839 0.0318 0.0055

4.463 1.3868 0.0279 0.0062

4.761 1.4351 0.0289 0.0061

4.692 1.4240 0.0286 0.0061

4.708 1.4266 0.0287 0.0061

4.704 1.4260 0.0287 0.0061

4.705 1.4261 0.0287 0.0061

4.705 1.4261 0.0287 0.0061

4.705 1.4261 0.0287 0.0061

4.705 1.4261 0.0287 0.0061

3.051 1.283 -0.0122 0.0040

Q = 0.0754 0.03397

-0.0600

= 0.0154

. (m3#$)

. (m3#$)

. (m3#$)

-Qdi =

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! (m) " (m#$) .#!

4.835 1.4466 -0.0291 -0.0060

4.835 1.4466 0.0291 0.0060

3.768 1.2679 0.0255 0.0068

4.015 1.3113 0.0264 0.0066

3.958 1.3014 0.0262 0.00663.971 1.3037 0.0262 0.0066

3.968 1.3032 0.0262 0.0066

3.969 1.3033 0.0262 0.0066

3.968 1.3033 0.0262 0.0066

3.969 1.3033 -0.0262 -0.0066

9.682 2.3541 -0.0224 0.0023

Q = -0.0486 -0.00429

0.0000

= -0.0486

! (m) " (m#$) .#!

32.316 4.3903 0.0417 0.0013

0.888 0.5846 0.0118 0.0132

Q = 0.0535 0.01452

-Qdi = -0.0300

= 0.0235

! (m) " (m#$) .#!

3.959 1.4727 0.0140 0.0035

2.345 0.9853 0.0198 0.0084

3.242 1.0908 0.0343 0.0106

Q = 0.0681 0.0226

-Qdi = -0.0300

= 0.0381

! (m) " (m#$) .#!

2.277 1.5072 0.0740 0.0325

0.134 0.1927 0.0061 0.0450

Q = 0.0800 0.0775

-Qdi = -0.0400

= 0.0400

. (m3#$)

-Qdi =

. (m3#$)

. (m3#$)

. (m3#$)

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! (m) " (m#$) .#!

1.560 0.9409 0.0462 0.029627.469 3.5785 0.0719 0.0026

20.940 3.1106 0.0625 0.0030

22.536 3.2309 0.0650 0.0029

22.146 3.2020 0.0644 0.0029

22.241 3.2090 0.0645 0.0029

22.218 3.2073 0.0645 0.0029

22.224 3.2077 0.0645 0.0029

22.222 3.2076 0.0645 0.0029

22.223 3.2077 0.0645 0.0029

22.223 3.2077 0.0645 0.00290.582 0.527 -0.0050 0.0086

Q = 0.1057 0.04109

-0.0600

= 0.0457

! (m) " (m#$) .#!

25.246 3.4260 -0.0689 -0.0027

25.246 3.4260 0.0689 0.002719.261 2.9789 0.0599 0.0031

20.721 3.0937 0.0622 0.0030

20.366 3.0662 0.0616 0.0030

20.452 3.0729 0.0618 0.0030

20.431 3.0713 0.0618 0.0030

20.436 3.0717 0.0618 0.0030

20.435 3.0716 0.0618 0.0030

20.436 3.0716 -0.0618 -0.0030

29.082 4.1588 -0.0395 0.0014

Q = -0.1013 -0.001660.0000

= -0.1013

! (m) " (m#$) .#!

150.880 9.6325 0.0915 0.0006

. (m3#$)

-Qdi =

. (m3#$)

-Qdi =

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1.031 0.6337 0.0127 0.0124

Q = 0.1043 0.01296

-Qdi = -0.0300

= 0.0743

! (m) " (m#$) .#!

2.805 1.2272 0.0117 0.0042

10.430 2.1658 0.0435 0.0042

0.899 0.5477 0.0172 0.0191

Q = 0.0724 0.0275

-Qdi = -0.0300

= 0.0424

! (m) " (m#$) .#!

1.244 1.0947 0.0537 0.0432

2.189 0.8846 0.0278 0.0127

Q = 0.0815 0.0559

-Qdi = -0.0400

= 0.0415

! (m) " (m#$) .#!

0.662 0.5939 -0.0292 -0.0440

147.043 8.4380 0.1697 0.0012

110.741 7.3055 0.1469 0.0013

119.832 7.6047 0.1529 0.0013

117.558 7.5309 0.1514 0.0013

118.127 7.5494 0.1518 0.0013

117.984 7.5448 0.1517 0.0013

118.020 7.5460 0.1517 0.0013

118.011 7.5457 0.1517 0.0013

118.013 7.5458 0.1517 0.0013

118.013 7.5457 0.1517 0.0013

0.282 0.354 0.0034 0.0119

Q = 0.1259 -0.03080

-0.0600

= 0.0659

. (m3#$)

. (m3#$)

. (m3#$)

-Qdi =

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! (m) " (m#$) .#!

151.324 8.5619 -0.1721 -0.0011

151.324 8.5619 0.1721 0.0011

113.949 7.4124 0.1490 0.0013123.311 7.7161 0.1551 0.0013

120.968 7.6412 0.1536 0.0013

121.555 7.6601 0.1540 0.0013

121.408 7.6554 0.1539 0.0013

121.444 7.6565 0.1539 0.0013

121.435 7.6562 0.1539 0.0013

121.438 7.6563 -0.1539 -0.0013

139.418 9.2542 -0.0879 0.0006

Q = -0.2419 -0.00064

0.0000 = -0.2419

! (m) " (m#$) .#!

899.066 23.7150 0.2254 0.0003

7.343 1.8024 -0.0362 0.0049

Q = 0.1891 0.00519

-Qdi = -0.0300

= 0.1591

! (m) " (m#$) .#!

4.563 1.5874 -0.0151 0.0033

68.712 5.7278 0.1152 0.0017

0.703 0.4791 -0.0151 0.0214

Q = 0.0850 0.0264

-Qdi = -0.0300

= 0.0550

! (m) " (m#$) .#!

0.242 0.4536 -0.0223 0.0921

4.871 1.3535 0.0425 0.0087

Q = 0.0203 0.1008

. (m3#$)

-Qdi =

. (m3#$)

. (m3#$)

. (m3#$)

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-Qdi = -0.0400

= -0.0197

! (m) " (m#$) .#!

3.619 1.4698 0.0721 0.0199

910.972 21.2073 0.4264 0.0005

681.664 18.3257 0.3685 0.0005

739.746 19.0964 0.3840 0.0005

725.040 18.9042 0.3801 0.0005

728.764 18.9531 0.3811 0.0005

727.821 18.9407 0.3808 0.0005

728.060 18.9439 0.3809 0.0005

727.999 18.9431 0.3809 0.0005728.015 18.9433 0.3809 0.0005

728.011 18.9432 0.3809 0.0005

8.731 2.231 0.0212 0.0024

Q = 0.4742 0.02289

-0.0600

= 0.4142

! (m) " (m#$) .#! 874.776 20.7788 -0.4178 -0.0005

874.776 20.7788 0.4178 0.0005

654.639 17.9559 0.3610 0.0006

710.390 18.7108 0.3762 0.0005

696.277 18.5226 0.3724 0.0005

699.850 18.5704 0.3734 0.0005

698.945 18.5583 0.3731 0.0005

699.174 18.5614 0.3732 0.0005

699.116 18.5606 0.3732 0.0005

699.131 18.5608 -0.3732 -0.0005837.697 22.8863 -0.2175 0.0003

Q = -0.5907 -0.00027

0.0000

= -0.5907

. (m3#$)

-Qdi =

. (m3#$)

-Qdi =

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! (m) " (m#$) .#!

5146.855 56.9464 0.5412 0.0001

64.544 5.5475 -0.1115 0.0017

Q = 0.4296 0.00183

-Qdi = -0.0300

= 0.3996

! (m) " (m#$) .#!

27.465 4.0383 0.0384 0.0014

500.528 15.6830 0.3153 0.0006

5.262 1.4100 -0.0443 0.0084

Q = 0.3094 0.0104

-Qdi = -0.0300

= 0.2794

! (m) " (m#$) .#!

0.150 0.3493 0.0171 0.1144

58.766 4.9367 0.1551 0.0026

Q = 0.1722 0.1170

-Qdi = -0.0400

= 0.1322

! (m) " (m#$) .#!

32.578 4.6009 -0.2258 -0.0069

5183.934 50.7927 1.0212 0.0002

3868.554 43.8576 0.8818 0.0002

4203.227 45.7216 0.9193 0.0002

4118.092 45.2547 0.9099 0.0002

4139.750 45.3740 0.9123 0.0002

4134.240 45.3437 0.9117 0.0002

4135.642 45.3514 0.9118 0.0002

4135.285 45.3494 0.9118 0.0002

4135.376 45.3499 0.9118 0.0002

4135.353 45.3498 0.9118 0.0002

26.038 3.929 0.0373 0.0014

Q = 0.7233 -0.00528

. (m3#$)

. (m3#$)

. (m3#$)

. (m3#$)

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-0.0600

= 0.6633

! (m) " (m#$) .#!

5435.275 52.0130 -1.0458 -0.0002

5435.275 52.0130 1.0458 0.0002

4055.930 44.9107 0.9030 0.0002

4406.904 46.8199 0.9414 0.0002

4317.615 46.3416 0.9318 0.0002

4340.331 46.4638 0.9342 0.0002

4334.552 46.4327 0.9336 0.0002

4336.022 46.4406 0.9337 0.0002

4335.648 46.4386 0.9337 0.0002

4335.743 46.4391 -0.9337 -0.0002

4710.871 54.4746 -0.5177 0.0001Q = -1.4514 -0.00011

0.0000

= -1.4514

! (m) " (m#$) .#!

32236.050 142.7434 1.3565 0.0000

447.025 14.8134 -0.2978 0.0007

Q = 1.0587 0.00071

-Qdi = -0.0300

= 1.0287

! (m) " (m#$) .#!

277.379 13.1092 -0.1246 0.0004

3351.485 40.8113 0.8206 0.0002

56.506 4.8386 -0.1520 0.0027

Q = 0.5440 0.0034

-Qdi = -0.0300

= 0.5140

! (m) " (m#$) .#!

2.110 1.4478 -0.0711 0.0337

-Qdi =

. (m3#$)

-Qdi =

. (m3#$)

. (m3#$)

. (m3#$)

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360.261 12.4121 0.3899 0.0011

Q = 0.3189 0.0348

-Qdi = -0.0400

= 0.2789

! (m) " (m#$) .#!

218.763 12.1236 0.5951 0.0027

32960.454 128.3048 2.5797 0.0001

24567.109 110.7496 2.2268 0.0001

26706.804 115.4783 2.3218 0.0001

26161.376 114.2915 2.2980 0.0001

26300.414 114.5952 2.3041 0.0001

26264.971 114.5178 2.3025 0.000126274.006 114.5375 2.3029 0.0001

26271.703 114.5325 2.3028 0.0001

26272.290 114.5338 2.3028 0.0001

26272.140 114.5335 2.3028 0.0001

581.134 19.038 0.1809 0.0003

Q = 3.0789 0.00312

-0.0600

= 3.0189

! (m) " (m#$) .#!

31024.870 124.4760 -2.5027 -0.0001

31024.870 124.4760 2.5027 0.0001

23124.993 107.4454 2.1603 0.0001

25138.810 112.0326 2.2525 0.0001

24625.491 110.8813 2.2294 0.0001

24756.338 111.1759 2.2353 0.0001

24722.985 111.1009 2.2338 0.0001

24731.487 111.1200 2.2342 0.000124729.320 111.1151 2.2341 0.0001

24729.872 111.1164 -2.2341 -0.0001

29331.590 136.1541 -1.2939 0.0000

Q = -3.5280 -0.00005

0.0000

= -3.5280

. (m3#$)

-Qdi =

. (m3#$)

-Qdi =

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! (m) " (m#$) .#!

181968.701 339.3530 3.2250 0.0000

3047.730 38.9110 -0.7824 0.0003

Q = 2.4426 0.00027

-Qdi = -0.0300 = 2.4126

! (m) " (m#$) .#!

1354.450 29.1409 0.2769 0.0002

20630.999 101.4778 2.0403 0.0001

344.216 12.1294 -0.3811 0.0011

Q = 1.9362 0.0014

-Qdi = -0.0300

= 1.9062

! (m) " (m#$) .#!

18.155 4.4299 -0.2175 0.0120

3047.312 36.3706 1.1426 0.0004

Q = 0.9252 0.0124

-Qdi = -0.0400

= 0.8852

! (m) " (m#$) .#!

1716.821 34.2183 -1.6797 -0.0010

183661.981 303.0767 6.0937 0.0000

136828.728 261.5754 5.2593 0.0000

148776.634 272.7633 5.4842 0.0000

145728.628 269.9532 5.4277 0.0000

146506.206 270.6729 5.4422 0.0000

146307.838 270.4895 5.4385 0.0000

146358.444 270.5363 5.4395 0.0000

146345.534 270.5243 5.4392 0.0000

146348.827 270.5274 5.4393 0.0000

146347.987 270.5266 5.4393 0.0000

. (m3#$)

. (m3#$)

. (m3#$)

. (m3#$)

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1348.646 29.078 0.2763 0.0002

Q = 4.0359 -0.00074

-0.0600

= 3.9759

! (m) " (m#$) .#!

194461.652 311.8645 -6.2704 0.0000

194461.652 311.8645 6.2704 0.0000

144873.110 269.1592 5.4118 0.0000

157524.127 280.6719 5.6432 0.0000

154296.699 277.7802 5.5851 0.0000

155120.062 278.5208 5.6000 0.0000

154910.011 278.3320 5.5962 0.0000

154963.598 278.3802 5.5972 0.0000

154949.927 278.3679 5.5969 0.0000154953.415 278.3710 -5.5970 0.0000

164385.432 322.5335 -3.0651 0.0000

Q = -8.6621 -0.00002

0.0000

= -8.6621

! (m) " (m#$) .#!

1155794.016 855.4833 8.1299 0.0000

17927.904 94.5864 -1.9018 0.0001

Q = 6.2282 0.00011

-Qdi = -0.0300

= 6.1982

! (m) " (m#$) .#!

12148.317 87.5696 -0.8322 0.0001

127520.238 252.5159 5.0771 0.0000

2903.994 35.5015 -1.1153 0.0004

Q = 3.1296 0.0005

-Qdi = -0.0300

= 3.0996

-Qdi =

. (m3#$)

-Qdi =

. (m3#$)

. (m3#$)

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! (m) " (m#$) .#!

161.472 13.4617 -0.6608 0.0041

15494.368 82.1992 2.5824 0.0002

Q = 1.9216 0.0043

-Qdi = -0.0400

= 1.8816

2,5 5,6 1,6

276.34 1115.31 660.80

5 6

15755.840 1145.041

. (m3#$)

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