cálc. velocidad de onda- tuberias

5/12/2018 Cálc. velocidad de onda- Tuberias - slidepdf.com

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1. Velocidad de Onda, Tuberías de Acero

Para Cálculo de la Velocidad de onda se realizo mediante la Formula de Wylie :

Donde:

K; Modulo de elasticidad volumetrica del fluido (Kagua = 2.19 GPa)E; Módulo de elasticidad del material de la tuberia.

* Eacero = 2.1 E+10 Kg/m2; 206.01 GPa

* E HDPE = 1.50 E+08 Kg/m2 ; 2.15 GPa

n; Módulo de Poisson

* n ACERO = 0.25

* n HDPE = 0.25

Tramo N°Diámetro

Interior

Espesor de

Tubería

Di e

m m

Acero 1º 10 0.76200 0.00934

HDPE 2º 10 0.27305 0.01605

2. Cálculo de la presión admisible negativa

PARA TUBERIAS DE HDPE

Según "Piping Handbook,Mohinder L. Nyyar,seventh edition - McGraw - Hill" la ecuacion para la presión de colapso es:

Donde:

Pc : Presión de colapso de tuberia (Pa)

PAL : Presión externa segura

E : Modulo de elasticidad de la tuberia (Pa)v : Modulo de Poisson

t : Espesor de tuberia (m)

Dm : Diametro medio de tuberia (m)

C : factor de corrección de ovalidad

FS : Factor de seguridad ( FS u2 , recomendado)

Tramo N°Diámetro

interior

Espesor de

Tubería

Di tm m

HDPE 1º 12 0.28346 0.01905

HDPE 2º 12 0.26144 0.02943

PARA TUBERIAS DE ACERO

HDPE SDR 17

API 5L, Gr. B STD (0.375")

HDPE SDR 11

Tipo de Materialdiammetro

(pulg)

HDPE SDR 17

diammetro(pulg)Tipo de Material

¹ º

¸©ª

¨¹ º

¸©ª

¨

!

e

D

E

K C

K a

i1

/ V



PARA TUBERIAS DE ACERO

Tuberiadiammetro

(pulg)

Diámetro

nominal de

tuberia Dn

(mm)

Espesor de

tuberia

t (mm)

1 12 304.8 9.53API 5L, Gr. B STD (0.375")

Tipo de Material



Módulo de

Elasticidad

Volúmétrica del

Agua.

Densidad del

Agua.

Módulo de

Elasticidad del

Acero.

Velocidad de

Onda

K r E n C a

Pa kg/m3 Pa (Poisson) m/s

2.19E+09 1000 2.06E+11 0.25 0.94 1099.0

2.19E+09 1000 9.49E+08 0.25 0.94 240.7

Diámetro

medio

Módulo de

Elasticidad de

tuberia.

Modulo de

Poisson

Factor de

corección

Presión

Colapso

Presión

Colapso

Presión

externa

se ura

Dm E n C Pc (Pa) Pc (Psi) PAL (Psi)

m Pa (Poisson)

0.30251 3.03E+08 0.35 0.95 163831.6 23.8 7.1

2.909E-01 3.03E+08 0.35 0.95 679552.6 98.6 29.6



Presión Colapso

Pc (Pa)

Presión Colapso

Pc (PSI)

Presión

Negativa

Pn (Pa)

Presión

Negativa

Pn (PSI)

14049506.78 2038.270 4214852.035 611.48



Temperatura (°C)

-29-18

4

1623

3849

60



T / °C P / mmHg P / hPa T / °C P / mmHg P / hPa T / °C P / mmHg P / hPa

0 4.584 6.1115 47 79.709 106.27 95 634.61 846.08

0.01 4.5878 6.11657 48 83.834 111.77 96 658.34 877.71

1 4.9286 6.5709 49 88.147 117.52 97 682.78 910.3

2 5.2954 7.0599 50 92.648 123.52 98 707.98 943.9

3 5.6861 7.5808 51 97.343 129.78 99 733.95 978.52

4 6.1021 8.1355 52 102.24 136.31 100 760 1013.3

5 6.5449 8.7258 53 107.35 143.12 101 787.57 10506 7.0158 9.3536 54 112.67 150.22 102 815.86 1087.7

7 7.5164 10.021 55 118.23 157.62 103 845.12 1126.7

8 8.0482 10.73 56 124.01 165.33 104 875.06 1166.7

9 8.613 11.483 57 130.03 173.36 105 906.07 1208

10 9.2123 12.282 58 136.29 181.71 106 937.92 1250.5

11 9.8483 13.13 59 142.82 190.41 107 970.6 1294

12 10.522 14.028 60 149.61 199.46 108 1004.42 1339.12

13 11.237 14.981 61 156.67 208.88 109 1038.92 1385.11

14 11.993 15.99 62 164.02 218.67 110 1074.56 1432.63

15 12.795 17.058 63 171.65 228.85 111 1111.2 1481.48

16 13.642 18.188 64 179.59 239.43 112 1148.74 1531.53

17 14.539 19.384 65 187.83 250.42 113 1187.42 1583.1

18 15.487 20.647 66 196.39 261.83 114 1227.25 1636.2

19 16.489 21.983 67 205.28 273.68 115 1267.98 1690.5

20 17.546 23.393 68 214.51 285.99 120 1489.14 1985.36

21 18.663 24.882 69 224.09 298.76 125 1740.93 2321.05

22 19.841 26.453 70 234.03 312.01 130 2026.1 2701.24

23 21.085 28.111 71 244.33 325.75 135 2347.26 3129.42

24 22.395 29.858 72 255.02 340 140 2710.92 3614.2625 23.776 31.699 73 266.11 354.78 145 3116.76 4155.34

26 25.231 33.639 74 277.59 370.09 150 3570.48 4760.25

27 26.763 35.681 75 289.49 385.95 175 6694.08 8924.71

28 28.376 37.831 76 301.82 402.39 200 11 659.16 15 544.2

29 30.071 40.092 77 314.58 419.41 225 19 123.12 25 495.4

30 31.855 42.47 78 327.8 437.03 250 29 817.84 39 753.8

31 33.73 44.969 79 341.48 455.27 275 44 580.84 59 436.2

32 35.7 47.596 80 355.63 474.14 300 64 432.8 85 903.3

33 37.769 50.354 81 370.28 493.67 325 90 447.6 120 587

34 39.942 53.251 82 385.43 513.87 350 124 001.6 165 321.35 42.221 56.29 83 401.1 534.76 360 139 893.2 186 508.

36 44.613 59.479 84 417.3 556.35 365 148 519.2 198 009.

37 47.121 62.823 85 434.04 578.67 366 150 320.4 200 410.

38 49.75 66.328 86 451.33 601.73 367 152 129.2 202 822.

39 52.506 70.002 87 469.21 625.56 368 153 960.8 205 264.

40 55.391 73.849 88 487.67 650.17 369 155 815.2 207 736.

41 58.413 77.878 89 506.73 675.58 370 157 692.4 210 239.

42 61.577 82.096 90 526.41 701.82 371 159 584.8 212 762.

43 64.886 86.508 91 546.72 728.9 372 161 507.6 215 325.

44 68.349 91.124 92 567.68 756.84 373 163 468.4 217 939.

45 71.968 95.95 93 589.31 785.68 373.946 165 452.0 220 584.

46 75.749 100.99 94 611.61 815.41

TABLAS DE PRESIÓN DE VAPOR DEL AGUA



32 32 32 813 755.84 28.58 552.85 5L 32 29 25

32 32 32 813 752.64 30.18 582.61 5L 32 29 12

32 32 32 813 749.5 31.75 611.68 5L 32 29 32

34 34 34 864 851.3 6.35 134.30 5L 34 1/63 33 49

34 34 34 864 849.72 7.14 150.87 5L 34 1/63 33 39

34 34 10 3410 864 848.16 7.92 167.20 5L 34 1/63 33 20

34 34 34 864 846.52 8.74 184.33 5L 34 1/63 33 19

34 STD 34STD 34 864 844.94 9.53 200.31 5L 34 1/63 33 13

34 34 34 864 843.38 10.31 217.05 5L 34 1/63 33 10

34 34 34 864 841.74 11.13 234.08 5L 34 1/63 33 6/

34 34 34 864 840.18 11.91 250.26 5L 34 1/63 33 6/

34 XS 34XS 20 3420 864 838.6 12.7 266.61 5L 34 1/63 33 1/

34 34 34 864 835.46 14.27 299.02 5L 34 1/63 32 33

34 34 30 3430 864 832.24 15.88 332.12 5L 34 1/63 32 75

34 34 40 3440 864 829.04 17.48 364.90 5L 34 1/63 32 39

34 34 34 864 825.9 19.05 396.93 5L 34 1/63 32 4934 34 34 864 822.76 20.62 428.85 5L 34 1/63 32 20

34 34 34 864 819.54 22.23 461.45 5L 34 1/63 32 13

34 34 34 864 816.34 23.83 493.72 5L 34 1/63 32 6/

34 34 34 864 813.2 25.4 525.27 5L 34 1/63 32 1/

34 34 34 864 810.06 26.97 556.69 5L 34 1/63 31 33

34 34 34 864 806.84 28.58 588.79 5L 34 1/63 31 75

34 34 34 864 803.64 30.18 620.56 5L 34 1/63 31 39

34 34 34 864 800.5 31.75 651.61 5L 34 1/63 31 49

36 36 36 914 901.3 6.35 142.13 5L 35 63/64 35 46

36 36 36 914 899.72 7.14 159.67 5L 35 63/64 35 19

36 36 10 3610 914 898.16 7.92 176.96 5L 35 63/64 35 22

36 36 36 914 896.52 8.74 195.11 5L 35 63/64 35 8/

36 STD 36STD 36 914 894.94 9.53 212.56 5L 35 63/64 35 18

36 36 36 914 893.38 10.31 229.76 5L 35 63/64 35 5/

36 36 36 914 891.74 11.13 247.31 5L 35 63/64 35 4/

36 36 36 914 890.18 11.91 264.94 5L 35 63/64 35 2/

36 XS 36XS 20 3620 914 888.6 12.7 282.27 5L 35 63/64 34 63

36 36 36 914 885.46 14.27 316.11 5L 35 63/64 34 37

36 36 30 3630 914 882.24 15.88 351.70 5L 35 63/64 34 11

36 36 36 914 879.04 17.48 386.45 5L 35 63/64 34 31

36 36 40 3640 914 875.9 19.05 420.42 5L 35 63/64 34 46

36 36 36 914 872.76 20.62 454.27 5L 35 63/64 34 22

36 36 36 914 869.54 22.23 488.86 5L 35 63/64 34 18

36 36 36 914 866.34 23.83 523.11 5L 35 63/64 34 4/

36 36 36 914 863.2 25.4 556.59 5L 35 63/64 33 63

36 36 36 914 860.06 26.97 589.95 5L 35 63/64 33 37

36 36 36 914 856.84 28.58 624.03 5L 35 63/64 33 11

36 36 36 914 853.64 30.18 657.77 5L 35 63/64 33 31

36 36 36 914 850.5 31.75 690.76 5L 35 63/64 33 46

38 38 38 965 949.16 7.92 186.92 5L 38 37 7/

38 38 38 965 947.52 8.74 206.10 5L 38 37 7/38 STD 38STD 38 965 945.94 9.53 224.54 5L 38 37 22

38 38 38 965 944.38 10.31 242.72 5L 38 37 11



38 38 38 965 942.74 11.13 261.80 5L 38 37 11

38 38 38 965 941.18 11.91 279.92 5L 38 37 5/

38 XS 38XS 38 965 939.6 12.7 298.24 5L 38 37

38 38 38 965 936.46 14.27 334.56 5L 38 36 33

38 38 38 965 933.24 15.88 371.68 5L 38 36 23

38 38 38 965 930.04 17.48 408.43 5L 38 36 8/

38 38 38 965 926.9 19.05 444.38 5L 38 36 31

38 38 38 965 923.76 20.62 480.21 5L 38 36 7/

38 38 38 965 920.54 22.23 516.82 5L 38 36 22

38 38 38 965 917.34 23.83 553.08 5L 38 36 11

38 38 38 965 914.2 25.4 588.53 5L 38 36

38 38 38 965 911.06 26.97 623.87 5L 38 35 33

38 38 38 965 907.84 28.58 659.97 5L 38 35 23

38 38 38 965 904.64 30.18 695.73 5L 38 35 8/

38 38 38 965 901.5 31.75 730.69 5L 38 35 31

40 40 40 1016 1000.16 7.92 196.89 5L 40 39 3540 40 40 1016 998.52 8.74 217.09 5L 40 39 29

40 STD 40STD 40 1016 996.94 9.53 236.53 5L 40 39 1/

40 40 40 1016 995.38 10.31 255.69 5L 40 39 16

40 40 40 1016 993.74 11.13 275.80 5L 40 39 11

40 40 40 1016 992.18 11.91 294.90 5L 40 39 1/

40 XS 40XS 40 1016 990.6 12.7 314.22 5L 40 39

40 40 40 1016 987.46 14.27 352.51 5L 40 38 78

40 40 40 1016 984.24 15.88 391.65 5L 40 38 3/

40 40 40 1016 981.04 17.48 430.42 5L 40 38 58

40 40 40 1016 977.9 19.05 468.34 5L 40 38 1/

40 40 40 1016 974.76 20.62 506.14 5L 40 38 35

40 40 40 1016 971.54 22.23 544.78 5L 40 38 1/

40 40 40 1016 968.34 23.83 583.05 5L 40 38 11

40 40 40 1016 965.2 25.4 620.48 5L 40 38

40 40 40 1016 962.06 26.97 657.78 5L 40 37 78

40 40 40 1016 958.84 28.58 695.92 5L 40 37 3/

40 40 40 1016 955.64 30.18 733.68 5L 40 37 58

40 40 40 1016 952.5 31.75 770.62 5L 40 37 1/

42 STD 42STD 42 1066.8 1047.74 9.53 266.53 5L 42 41 1/

42 XS 42XS 42 1066.8 1041.4 12.7 344.22 5L 42 41

44 STD 44STD 44 1117.6 1098.54 9.53 266.53 5L 44 43 1/

44 XS 44XS 44 1117.6 1092.2 12.7 344.22 5L 44 43

46 STD 46STD 46 1168.4 1149.34 9.53 266.53 5L 46 45 1/

46 XS 46XS 46 1168.4 1143 12.7 344.22 5L 46 45

48 STD 48STD 48 1219.2 1200.14 9.53 266.53 5L 48 47 1/

48 XS 48XS 48 1219.2 1193.8 12.7 344.22 5L 48 47

50 STD 50STD 50 1270 1250.94 9.53 266.53 5L 50 49 1/

X X 127 1244. 12.7 44.22 L 4



|



|

IPS Pipe

Size (in)

Minimum

Wall (in)

Average ID

(in)

Weight

(lbs/ft)

Average OD

(in)

1 1/4 SDR 7.31.25 0.227 1.179 0.440 1.6331 1/2 SDR 7.31.5 0.260 1.349 0.580 1.8692 SDR 7.32 0.325 1.686 0.910 2.336

3 SDR 7.33 0.479 2.485 1.980 3.4434 SDR 7.34 0.616 3.194 3.270 4.4266 SDR 7.36 0.908 4.700 7.090 6.5168 SDR 7.38 1.182 6.119 12.010 8.483

10 SDR 7.310 1.473 7.627 18.660 10.57312 SDR 7.312 1.747 9.046 26.250 12.54014 SDR 7.314 1.918 9.934 31.640 13.77016 SDR 7.316 2.192 11.353 41.330 15.737

18 SDR 7.318 2.466 12.772 52.310 17.70420 SDR 7.320 2.740 14.191 64.580 19.6722 SDR 7.322 3.014 15.610 78.140 21.63824 SDR 7.324 3.288 17.029 93.000 23.60526 SDR 7.326 - - - -28 SDR 7.328 - - - -30 SDR 7.330 - - - -

1 1/4 SDR 91.25 0.184 1.270 0.370 1.6381 1/2 SDR 91.5 0.211 1.453 0.490 1.8752 SDR 92 0.264 1.815 0.760 2.3433 SDR 93 0.389 2.675 1.660 3.4534 SDR 94 0.500 3.440 2.740 4.4406 SDR 96 0.736 5.065 5.930 6.5378 SDR 98 0.958 6.594 10.050 8.510

10 SDR 910 1.194 8.219 15.610 10.607

12 SDR 912 1.417 9.746 21.970 12.58014 SDR 914 1.556 10.701 26.500 13.81316 SDR 916 1.778 12.231 34.600 15.78718 SDR 918 2.000 13.760 43.790 17.76020 SDR 920 2.222 15.289 54.050 19.73322 SDR 922 2.444 16.819 65.400 21.70724 SDR 924 2.667 18.346 77.850 23.68026 SDR 926 2.889 19.875 91.360 25.653

28 SDR 928 3.111 21.405 105.950 27.62730 SDR 930 3.333 22.934 121.620 29.600

1 1/4 SDR 111.25 0.151 1.340 0.310 1.6421 1/2 SDR 111.5 0.173 1.533 0.410 1.879

PIPE HDPE PP-152-3408 IPS

DR 7.3 (255 psi)

DR 9.0 (200 psi)

DR 11 (160 psi)



12 SDR 13.512 0.944 10.749 15.290 12.637

14 SDR 13.514 1.037 11.802 18.440 13.876

16 SDR 13.516 1.185 13.486 24.090 15.856

18 SDR 13.518 1.333 15.174 30.480 17.840

20 SDR 13.520 1.481 16.860 37.630 19.822

22 SDR 13.522 1.630 18.544 45.560 21.804

24 SDR 13.524 1.778 20.231 54.210 23.787

26 SDR 13.526 1.926 21.917 63.620 25.769

28 SDR 13.528 2.074 23.603 73.780 27.751

30 SDR 13.530 2.222 25.289 84.690 29.733

32 SDR 13.532 2.370 26.976 96.350 31.716

34 SDR 13.534 2.552 28.660 108.810 33.764

36 SDR 13.536 2.667 30.346 121.980 35.680

42 SDR 13.542 3.111 35.405 166.000 41.627

NOM. SIZE MIN. WALL NOM ID WGT/ 100 FT. NOM OD

Pulled

Tensile Safe

(lbs.)

1 SDR 15.51 0.08 1.15 13.94 1.32 363.001 1/4 SDR 15.51.2 0.11 1.45 22.39 1.66 583.00

1 1/2 SDR 15.51.5 0.12 1.65 29.46 1.90 767.00

2 SDR 15.52 0.15 2.07 45.81 2.38 1193.00

3 SDR 15.53 0.23 3.05 99.71 3.50 2596.00

4 SDR 15.54 0.29 3.92 164.53 4.50 4283.00

5 SDR 15.55 0.36 4.84 251.72 5.56 6553.00

6 SDR 15.56 0.43 5.77 356.65 6.63 9284.00

8 SDR 15.58 0.56 7.51 604.58 8.63 15739.00

10 SDR 15.510 0.69 9.36 940.47 10.75 24483.0012 SDR 15.512 0.82 11.10 1322.79 12.75 34435.00

14 SDR 15.514 0.90 12.19 1593.75 14.00 41489.00

16 SDR 15.516 1.03 13.94 2081.63 16.00 54190.00

2 SDR 172 0.140 2.078 0.430 2.358

3 SDR 173 0.206 3.063 0.930 3.475

4 SDR 174 0.265 3.938 1.540 4.468

6 SDR 176 0.390 5.798 3.340 6.578

8 SDR 178 0.507 7.550 5.650 8.564

10 SDR 1710 0.632 9.410 8.780 10.674

12 SDR 1712 0.750 11.160 12.360 12.660

14 SDR 1714 0.824 12.253 14.910 13.901

16 SDR 1716 0.941 14.005 19.460 15.887

18 SDR 1718 1.059 15.755 24.640 17.873

20 SDR 1720 1.176 17.507 30.410 19.859

22 SDR 1722 1.294 19.257 36.800 21.845

24 SDR 1724 1.412 21.007 43.810 23.831

26 SDR 1726 1.529 22.759 51.390 25.817

28 SDR 1728 1.647 24.508 59.620 27.802

30 SDR 1730 1.765 26.258 68.450 29.788

32 SDR 1732 1.882 28.010 77.860 31.774

34 SDR 1734 2.000 29.760 87.910 33.760

36 SDR 1736 2.118 31.510 98.570 35.746

42 SDR 1742 2 471 36 761 134 160 41 703

DR 17 (100 psi)

SDR 15.5 - ASTM D3035



42 SDR 1742 2 471 36 761 134 160 41 703

42 SDR 21.542 2.000 37.760 109.970 41.760

48 SDR 21.548 2.286 43.154 143.650 47.726

54 SDR 21.554 2.571 48.549 181.750 53.69

6 SDR 266 0.255 6.084 2.230 6.594

8 SDR 268 0.332 7.921 3.790 8.585

10 SDR 2610 0.413 9.874 5.870 10.700

12 SDR 2612 0.490 11.711 8.260 12.6914 SDR 2614 0.538 12.859 9.960 13.935

16 SDR 2616 0.615 14.696 13.010 15.926

18 SDR 2618 0.692 16.533 16.470 17.917

20 SDR 2620 0.769 18.370 20.340 19.908

22 SDR 2622 0.846 20.206 24.610 21.898

24 SDR 2624 0.923 22.043 29.300 23.889

26 SDR 2626 1.000 23.880 34.390 25.880

28 SDR 2628 1.077 25.717 39.880 27.8730 SDR 2630 1.154 27.554 45.780 29.862

32 SDR 2632 1.231 29.390 52.100 31.852

34 SDR 2634 1.308 31.227 58.810 33.843

36 SDR 2636 1.385 33.064 65.940 35.834

42 SDR 2642 1.615 38.576 89.710 41.806

48 SDR 2648 1.846 44.086 117.180 47.778

54 SDR 2654 2.077 49.597 148.330 53.75

6 SDR 32.56 0.204 6.193 1.800 6.60

8 SDR 32.58 2.650 8.063 3.050 13.363

10 SDR 32.510 0.331 10.048 4.750 10.710

12 SDR 32.512 0.392 11.919 6.670 12.703

14 SDR 32.514 0.431 13.086 8.050 13.948

16 SDR 32.516 0.492 14.957 10.500 15.94

18 SDR 32.518 0.554 16.826 13.300 17.934

20 SDR 32.520 0.615 18.696 16.410 19.92622 SDR 32.522 0.677 20.565 19.860 21.919

24 SDR 32.524 0.738 22.435 23.620 23.91

26 SDR 32.526 0.800 24.304 27.740 25.904

28 SDR 32.528 0.862 26.173 32.190 27.897

30 SDR 32.530 0.923 28.043 36.930 29.889

32 SDR 32.532 0.985 29.912 42.040 31.882

34 SDR 32.534 1.046 31.782 47.430 33.874

36 SDR 32.536 1.108 33.651 53.200 35.86742 SDR 32.542 1.292 39.261 72.370 41.845

48 SDR 32.548 1.477 44.869 94.560 47.823

54 SDR 32.554 1.662 50.477 119.700 53.80

DR 26 (65 psi)

DR 32.5 (50 psi)

cálc. velocidad de onda- tuberias

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