Diagrama de relaciones hidráulicas adimensionales en Flujo Uniforme . Basado en Manning con referencia en Ven Te Chow. Editado por Maikel Mendez (www.itcr.ac.cr) en Unidades del SI

0.001

0.010

0.100

1.000

10.000

0.0000 0.0001 0.0010 0.0100 0.1000 1.0000 10.0000 100.0000

Qn/(b8/3)(s1/2) = A(R2/3)/(b8/3) = A(R2/3)/(d8/3) = K`

y/b

o y

/d

Z a 0.5 Z a 1 Z a 1.5 Z a 2 Z a 3 Z a 4 Circular Rectang

rect z=0.5 z=1.0 z=1.5 z=2.0

z=3.0

z=4.0circular

Diagrama de relaciones hidráulicas adimensionales en Flujo Uniforme. Basado en Manning con referencia en Ven Te Chow. Editado por Maikel Mendez (www.itcr.ac.cr) en Unidades del SI

0.00

0.05

0.10

0.15

0.20

0.25

0.30

0.35

0.40

0.45

0.50

0.55

0.60

0.65

0.70

0.75

0.80

0.85

0.90

0.95

1.00

1.05

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00 2.10 2.20 2.30 2.40 2.50 2.60 2.70 2.80 2.90 3.00 3.10 3.20 3.30

Cantidad Absoluta

y/d

A/D2

P/D

R/D

Q/Qm

V/Vm

R/D A/D2 P/D

Q/Qmáximo

V/Vmáximo

y/d y/dalfa sita A/D² P/D R/D K` alfa sita A/D² P/D R/D K`

0.0100 11.4783 22.9567 0.0013 0.2003 0.0066 0.0000 0.5100 91.1460 182.2920 0.4027 1.5908 0.2531 0.16110.0200 16.2602 32.5204 0.0037 0.2838 0.0132 0.0002 0.5200 92.2925 184.5849 0.4127 1.6108 0.2562 0.16650.0300 19.9484 39.8969 0.0069 0.3482 0.0197 0.0005 0.5300 93.4398 186.8797 0.4227 1.6308 0.2592 0.17180.0400 23.0739 46.1478 0.0105 0.4027 0.0262 0.0009 0.5400 94.5886 189.1772 0.4327 1.6509 0.2621 0.17720.0500 25.8419 51.6839 0.0147 0.4510 0.0326 0.0015 0.5500 95.7392 191.4784 0.4426 1.6710 0.2649 0.18260.0600 28.3576 56.7153 0.0192 0.4949 0.0389 0.0022 0.5600 96.8921 193.7842 0.4526 1.6911 0.2676 0.18790.0700 30.6834 61.3668 0.0242 0.5355 0.0451 0.0031 0.5700 98.0479 196.0957 0.4625 1.7113 0.2703 0.19330.0800 32.8599 65.7198 0.0294 0.5735 0.0513 0.0041 0.5800 99.2069 198.4138 0.4724 1.7315 0.2728 0.19870.0900 34.9152 69.8304 0.0350 0.6094 0.0575 0.0052 0.5900 100.3698 200.7395 0.4822 1.7518 0.2753 0.20410.1000 36.8699 73.7398 0.0409 0.6435 0.0635 0.0065 0.6000 101.5370 203.0739 0.4920 1.7722 0.2776 0.20940.1100 38.7394 77.4789 0.0470 0.6761 0.0695 0.0079 0.6100 102.7090 205.4181 0.5018 1.7926 0.2799 0.21470.1200 40.5358 81.0716 0.0534 0.7075 0.0755 0.0095 0.6200 103.8866 207.7731 0.5115 1.8132 0.2821 0.22000.1300 42.2686 84.5372 0.0600 0.7377 0.0813 0.0113 0.6300 105.0701 210.1402 0.5212 1.8338 0.2842 0.22530.1400 43.9455 87.8911 0.0668 0.7670 0.0871 0.0131 0.6400 106.2602 212.5204 0.5308 1.8546 0.2862 0.23060.1500 45.5730 91.1460 0.0739 0.7954 0.0929 0.0152 0.6500 107.4576 214.9152 0.5404 1.8755 0.2881 0.23580.1600 47.1564 94.3127 0.0811 0.8230 0.0986 0.0173 0.6600 108.6629 217.3259 0.5499 1.8965 0.2900 0.24090.1700 48.7001 97.4003 0.0885 0.8500 0.1042 0.0196 0.6700 109.8769 219.7538 0.5594 1.9177 0.2917 0.24600.1800 50.2082 100.4164 0.0961 0.8763 0.1097 0.0220 0.6800 111.1002 222.2004 0.5687 1.9391 0.2933 0.25110.1900 51.6839 103.3677 0.1039 0.9021 0.1152 0.0246 0.6900 112.3337 224.6674 0.5780 1.9606 0.2948 0.25600.2000 53.1301 106.2602 0.1118 0.9273 0.1206 0.0273 0.7000 113.5782 227.1564 0.5872 1.9823 0.2962 0.26100.2100 54.5495 109.0989 0.1199 0.9521 0.1259 0.0301 0.7100 114.8346 229.6692 0.5964 2.0042 0.2975 0.26580.2200 55.9442 111.8884 0.1281 0.9764 0.1312 0.0331 0.7200 116.1039 232.2078 0.6054 2.0264 0.2987 0.27050.2300 57.3164 114.6327 0.1365 1.0004 0.1364 0.0362 0.7300 117.3871 234.7742 0.6143 2.0488 0.2998 0.27520.2400 58.6678 117.3355 0.1449 1.0239 0.1416 0.0394 0.7400 118.6854 237.3708 0.6231 2.0715 0.3008 0.27980.2500 60.0000 120.0000 0.1535 1.0472 0.1466 0.0427 0.7500 120.0000 240.0000 0.6319 2.0944 0.3017 0.28420.2600 61.3146 122.6292 0.1623 1.0701 0.1516 0.0461 0.7600 121.3323 242.6645 0.6405 2.1176 0.3024 0.28860.2700 62.6129 125.2258 0.1711 1.0928 0.1566 0.0497 0.7700 122.6837 245.3673 0.6489 2.1412 0.3031 0.29280.2800 63.8961 127.7923 0.1800 1.1152 0.1614 0.0534 0.7800 124.0558 248.1116 0.6573 2.1652 0.3036 0.29690.2900 65.1654 130.3308 0.1890 1.1374 0.1662 0.0572 0.7900 125.4506 250.9011 0.6655 2.1895 0.3039 0.30080.3000 66.4218 132.8437 0.1982 1.1593 0.1709 0.0610 0.8000 126.8699 253.7398 0.6736 2.2143 0.3042 0.30470.3100 67.6663 135.3327 0.2074 1.1810 0.1756 0.0650 0.8100 128.3162 256.6323 0.6815 2.2395 0.3043 0.30830.3200 68.8998 137.7996 0.2167 1.2025 0.1802 0.0691 0.8200 129.7918 259.5837 0.6893 2.2653 0.3043 0.31180.3300 70.1231 140.2463 0.2260 1.2239 0.1847 0.0733 0.8300 131.2999 262.5998 0.6969 2.2916 0.3041 0.31510.3400 71.3371 142.6742 0.2355 1.2451 0.1891 0.0776 0.8400 132.8437 265.6873 0.7043 2.3186 0.3038 0.31830.3500 72.5424 145.0848 0.2450 1.2661 0.1935 0.0820 0.8500 134.4270 268.8540 0.7115 2.3462 0.3033 0.32120.3600 73.7398 147.4796 0.2546 1.2870 0.1978 0.0864 0.8600 136.0545 272.1090 0.7186 2.3746 0.3026 0.32390.3700 74.9299 149.8599 0.2642 1.3078 0.2020 0.0910 0.8700 137.7314 275.4629 0.7254 2.4039 0.3018 0.32640.3800 76.1135 152.2269 0.2739 1.3284 0.2062 0.0956 0.8800 139.4642 278.9284 0.7320 2.4341 0.3007 0.32860.3900 77.2910 154.5820 0.2836 1.3490 0.2102 0.1003 0.8900 141.2606 282.5212 0.7384 2.4655 0.2995 0.33050.4000 78.4631 156.9261 0.2934 1.3694 0.2142 0.1050 0.9000 143.1301 286.2602 0.7445 2.4981 0.2980 0.33220.4100 79.6303 159.2605 0.3032 1.3898 0.2182 0.1099 0.9100 145.0848 290.1696 0.7504 2.5322 0.2963 0.33350.4200 80.7931 161.5862 0.3130 1.4101 0.2220 0.1148 0.9200 147.1401 294.2803 0.7560 2.5681 0.2944 0.33450.4300 81.9522 163.9043 0.3229 1.4303 0.2258 0.1197 0.9300 149.3166 298.6332 0.7612 2.6061 0.2921 0.33510.4400 83.1079 166.2158 0.3328 1.4505 0.2295 0.1248 0.9400 151.6424 303.2848 0.7662 2.6467 0.2895 0.33530.4500 84.2608 168.5217 0.3428 1.4706 0.2331 0.1298 0.9500 154.1581 308.3162 0.7707 2.6906 0.2865 0.33490.4600 85.4114 170.8229 0.3527 1.4907 0.2366 0.1349 0.9600 156.9261 313.8522 0.7749 2.7389 0.2829 0.33390.4700 86.5602 173.1204 0.3627 1.5108 0.2401 0.1401 0.9700 160.0516 320.1032 0.7785 2.7934 0.2787 0.33220.4800 87.7076 175.4151 0.3727 1.5308 0.2435 0.1453 0.9800 163.7398 327.4796 0.7816 2.8578 0.2735 0.32940.4900 88.8540 177.7080 0.3827 1.5508 0.2468 0.1506 0.9900 168.5217 337.0434 0.7841 2.9413 0.2666 0.32480.5000 90.0000 180.0000 0.3927 1.5708 0.2500 0.1558 1.0000 180.0000 360.0001 0.7854 3.1416 0.2500 0.3117

Tabla de relaciones hidráulicas adimensionales para secciones circulares en Flujo Uniforme. Basado en Manning con referencia en Ven Te Chow.

Editado por Maikel Mendez (www.itcr.ac.cr) en Unidades del SI

8/31/28/3

2/3

d SQn

dAR `K ==

K` K` K` K` K` K` K` K` K` K` K` K` K` K`0 0.5 1 1.5 2 3 4 0 0.5 1 1.5 2 3 4

0.010 0.000 0.0005 0.0005 0.0005 0.0005 0.0005 0.0005 1.5100 0.7861 1.8967 3.0420 4.1239 5.1566 7.1450 9.08650.020 0.001 0.0015 0.0015 0.0015 0.0015 0.0015 0.0015 1.5200 0.7922 1.9203 3.0851 4.1859 5.2368 7.2604 9.23650.030 0.003 0.0028 0.0029 0.0029 0.0029 0.0030 0.0030 1.5300 0.7982 1.9440 3.1285 4.2485 5.3178 7.3771 9.38800.040 0.004 0.0046 0.0047 0.0047 0.0048 0.0049 0.0050 1.5400 0.8043 1.9679 3.1723 4.3116 5.3995 7.4949 9.54100.050 0.006 0.0066 0.0067 0.0069 0.0070 0.0071 0.0073 1.5500 0.8104 1.9919 3.2165 4.3753 5.4821 7.6138 9.69560.060 0.009 0.0089 0.0091 0.0093 0.0095 0.0098 0.0101 1.5600 0.8165 2.0161 3.2610 4.4396 5.5654 7.7339 9.85170.070 0.011 0.0114 0.0118 0.0121 0.0123 0.0128 0.0132 1.5700 0.8226 2.0405 3.3059 4.5044 5.6494 7.8552 10.00940.080 0.013 0.0142 0.0147 0.0152 0.0155 0.0162 0.0168 1.5800 0.8286 2.0650 3.3512 4.5698 5.7343 7.9777 10.16860.090 0.016 0.0172 0.0179 0.0185 0.0190 0.0199 0.0208 1.5900 0.8347 2.0897 3.3968 4.6358 5.8199 8.1013 10.32940.100 0.019 0.0204 0.0214 0.0221 0.0228 0.0241 0.0253 1.6000 0.8408 2.1146 3.4428 4.7024 5.9063 8.2261 10.49180.110 0.022 0.0238 0.0251 0.0261 0.0269 0.0286 0.0302 1.6100 0.8469 2.1396 3.4891 4.7696 5.9935 8.3521 10.65580.120 0.025 0.0275 0.0290 0.0303 0.0314 0.0334 0.0355 1.6200 0.8530 2.1648 3.5359 4.8373 6.0815 8.4793 10.82130.130 0.029 0.0313 0.0332 0.0347 0.0361 0.0387 0.0412 1.6300 0.8591 2.1901 3.5830 4.9056 6.1703 8.6077 10.98850.140 0.032 0.0352 0.0376 0.0395 0.0412 0.0444 0.0475 1.6400 0.8652 2.2156 3.6305 4.9745 6.2599 8.7373 11.15720.150 0.036 0.0394 0.0422 0.0445 0.0466 0.0504 0.0542 1.6500 0.8713 2.2413 3.6783 5.0440 6.3503 8.8681 11.32760.160 0.039 0.0437 0.0471 0.0498 0.0523 0.0569 0.0614 1.6600 0.8774 2.2671 3.7266 5.1141 6.4414 9.0001 11.49950.170 0.043 0.0482 0.0522 0.0554 0.0583 0.0637 0.0691 1.6700 0.8835 2.2931 3.7752 5.1848 6.5334 9.1333 11.67310.180 0.047 0.0529 0.0575 0.0612 0.0646 0.0710 0.0772 1.6800 0.8896 2.3193 3.8242 5.2561 6.6262 9.2678 11.84830.190 0.051 0.0577 0.0630 0.0674 0.0713 0.0787 0.0859 1.6900 0.8957 2.3456 3.8736 5.3279 6.7198 9.4034 12.02510.200 0.055 0.0627 0.0687 0.0737 0.0783 0.0868 0.0952 1.7000 0.9018 2.3721 3.9233 5.4004 6.8142 9.5403 12.20360.210 0.059 0.0678 0.0747 0.0804 0.0856 0.0954 0.1049 1.7100 0.9079 2.3987 3.9735 5.4735 6.9094 9.6784 12.38370.220 0.063 0.0731 0.0809 0.0874 0.0932 0.1043 0.1152 1.7200 0.9140 2.4256 4.0240 5.5471 7.0055 9.8178 12.56540.230 0.067 0.0785 0.0873 0.0946 0.1012 0.1138 0.1260 1.7300 0.9201 2.4525 4.0749 5.6214 7.1023 9.9584 12.74880.240 0.071 0.0841 0.0939 0.1021 0.1096 0.1237 0.1374 1.7400 0.9263 2.4797 4.1262 5.6963 7.2000 10.1002 12.93390.250 0.076 0.0898 0.1007 0.1099 0.1182 0.1340 0.1494 1.7500 0.9324 2.5070 4.1778 5.7718 7.2985 10.2433 13.12060.260 0.080 0.0957 0.1078 0.1180 0.1273 0.1448 0.1619 1.7600 0.9385 2.5345 4.2299 5.8479 7.3978 10.3877 13.30900.270 0.085 0.1017 0.1151 0.1264 0.1366 0.1561 0.1751 1.7700 0.9446 2.5622 4.2824 5.9246 7.4980 10.5333 13.49900.280 0.089 0.1078 0.1226 0.1350 0.1464 0.1678 0.1888 1.7800 0.9507 2.5900 4.3352 6.0019 7.5990 10.6801 13.69080.290 0.094 0.1141 0.1303 0.1439 0.1564 0.1801 0.2032 1.7900 0.9569 2.6180 4.3884 6.0799 7.7008 10.8282 13.88420.300 0.098 0.1205 0.1382 0.1532 0.1669 0.1928 0.2181 1.8000 0.9630 2.6462 4.4421 6.1584 7.8035 10.9776 14.07930.310 0.103 0.1271 0.1464 0.1627 0.1777 0.2060 0.2337 1.8100 0.9691 2.6746 4.4961 6.2376 7.9070 11.1283 14.27620.320 0.108 0.1338 0.1547 0.1725 0.1889 0.2198 0.2499 1.8200 0.9752 2.7031 4.5505 6.3174 8.0114 11.2803 14.47470.330 0.112 0.1406 0.1633 0.1827 0.2004 0.2340 0.2668 1.8300 0.9814 2.7317 4.6053 6.3978 8.1166 11.4335 14.67490.340 0.117 0.1476 0.1721 0.1931 0.2123 0.2488 0.2843 1.8400 0.9875 2.7606 4.6605 6.4789 8.2226 11.5880 14.87690.350 0.122 0.1547 0.1812 0.2038 0.2246 0.2641 0.3025 1.8500 0.9936 2.7896 4.7161 6.5606 8.3296 11.7438 15.08060.360 0.127 0.1619 0.1904 0.2149 0.2373 0.2799 0.3214 1.8600 0.9998 2.8188 4.7721 6.6429 8.4373 11.9009 15.28600.370 0.132 0.1693 0.1999 0.2262 0.2504 0.2962 0.3410 1.8700 1.0059 2.8482 4.8285 6.7258 8.5459 12.0593 15.49310.380 0.137 0.1768 0.2096 0.2378 0.2638 0.3131 0.3612 1.8800 1.0120 2.8777 4.8853 6.8094 8.6554 12.2191 15.70200.390 0.142 0.1844 0.2196 0.2498 0.2777 0.3306 0.3822 1.8900 1.0182 2.9075 4.9425 6.8936 8.7658 12.3801 15.91270.400 0.147 0.1922 0.2297 0.2621 0.2919 0.3486 0.4038 1.9000 1.0243 2.9373 5.0001 6.9784 8.8770 12.5424 16.12510.410 0.152 0.2001 0.2401 0.2747 0.3066 0.3671 0.4262 1.9100 1.0304 2.9674 5.0581 7.0639 8.9891 12.7061 16.33920.420 0.157 0.2081 0.2507 0.2876 0.3216 0.3863 0.4493 1.9200 1.0366 2.9976 5.1165 7.1500 9.1020 12.8710 16.55510.430 0.162 0.2163 0.2616 0.3008 0.3371 0.4060 0.4731 1.9300 1.0427 3.0281 5.1753 7.2368 9.2158 13.0373 16.77280.440 0.167 0.2246 0.2727 0.3144 0.3530 0.4263 0.4977 1.9400 1.0489 3.0586 5.2345 7.3242 9.3305 13.2050 16.99220.450 0.172 0.2330 0.2840 0.3283 0.3693 0.4472 0.5231 1.9500 1.0550 3.0894 5.2942 7.4123 9.4461 13.3739 17.21350.460 0.177 0.2415 0.2955 0.3425 0.3860 0.4686 0.5492 1.9600 1.0612 3.1203 5.3542 7.5010 9.5626 13.5442 17.43650.470 0.183 0.2502 0.3073 0.3570 0.4031 0.4907 0.5760 1.9700 1.0673 3.1515 5.4147 7.5903 9.6799 13.7159 17.66130.480 0.188 0.2590 0.3193 0.3719 0.4207 0.5134 0.6037 1.9800 1.0735 3.1827 5.4755 7.6803 9.7982 13.8889 17.88790.490 0.193 0.2680 0.3315 0.3871 0.4387 0.5367 0.6322 1.9900 1.0796 3.2142 5.5368 7.7710 9.9173 14.0632 18.11630.500 0.198 0.2770 0.3440 0.4027 0.4571 0.5606 0.6614 2.0000 1.0858 3.2459 5.5985 7.8623 10.0373 14.2389 18.34650.510 0.204 0.2862 0.3567 0.4186 0.4759 0.5851 0.6915 2.0100 1.0919 3.2777 5.6606 7.9543 10.1582 14.4160 18.57860.520 0.209 0.2955 0.3697 0.4348 0.4952 0.6103 0.7223 2.0200 1.0981 3.3097 5.7231 8.0469 10.2801 14.5944 18.81240.530 0.214 0.3050 0.3829 0.4514 0.5150 0.6361 0.7540 2.0300 1.1042 3.3418 5.7861 8.1402 10.4028 14.7742 19.04810.540 0.220 0.3146 0.3964 0.4683 0.5352 0.6625 0.7865 2.0400 1.1104 3.3742 5.8494 8.2341 10.5264 14.9554 19.28560.550 0.225 0.3243 0.4100 0.4856 0.5558 0.6896 0.8199 2.0500 1.1165 3.4067 5.9132 8.3288 10.6509 15.1379 19.52500.560 0.231 0.3341 0.4240 0.5032 0.5769 0.7173 0.8541 2.0600 1.1227 3.4394 5.9774 8.4240 10.7763 15.3218 19.76620.570 0.236 0.3441 0.4381 0.5212 0.5985 0.7457 0.8892 2.0700 1.1289 3.4723 6.0420 8.5200 10.9027 15.5071 20.00920.580 0.241 0.3542 0.4526 0.5395 0.6205 0.7748 0.9251 2.0800 1.1350 3.5054 6.1071 8.6166 11.0299 15.6938 20.25410.590 0.247 0.3644 0.4672 0.5582 0.6430 0.8046 0.9619 2.0900 1.1412 3.5387 6.1725 8.7139 11.1581 15.8819 20.50090.600 0.252 0.3748 0.4822 0.5773 0.6660 0.8350 0.9996 2.1000 1.1474 3.5721 6.2384 8.8119 11.2872 16.0714 20.74950.610 0.258 0.3853 0.4973 0.5967 0.6894 0.8661 1.0381 2.1100 1.1535 3.6057 6.3047 8.9105 11.4172 16.2623 21.00000.620 0.263 0.3959 0.5128 0.6165 0.7133 0.8979 1.0776 2.1200 1.1597 3.6395 6.3715 9.0099 11.5481 16.4545 21.25240.630 0.269 0.4067 0.5284 0.6367 0.7377 0.9304 1.1180 2.1300 1.1658 3.6735 6.4386 9.1099 11.6800 16.6482 21.50670.640 0.274 0.4176 0.5444 0.6572 0.7626 0.9636 1.1593 2.1400 1.1720 3.7076 6.5062 9.2106 11.8128 16.8433 21.76280.650 0.280 0.4286 0.5605 0.6781 0.7880 0.9974 1.2015 2.1500 1.1782 3.7420 6.5743 9.3119 11.9465 17.0399 22.02090.660 0.285 0.4397 0.5770 0.6994 0.8138 1.0321 1.2446 2.1600 1.1844 3.7765 6.6427 9.4140 12.0812 17.2378 22.28080.670 0.291 0.4510 0.5937 0.7211 0.8402 1.0674 1.2887 2.1700 1.1905 3.8112 6.7116 9.5167 12.2168 17.4372 22.54260.680 0.297 0.4624 0.6106 0.7431 0.8670 1.1034 1.3337 2.1800 1.1967 3.8461 6.7809 9.6201 12.3533 17.6380 22.80640.690 0.302 0.4740 0.6278 0.7656 0.8944 1.1402 1.3797 2.1900 1.2029 3.8811 6.8507 9.7243 12.4908 17.8402 23.07210.700 0.308 0.4856 0.6453 0.7884 0.9222 1.1777 1.4266 2.2000 1.2090 3.9164 6.9209 9.8291 12.6292 18.0439 23.33970.710 0.313 0.4974 0.6631 0.8116 0.9506 1.2160 1.4745 2.2100 1.2152 3.9518 6.9915 9.9346 12.7686 18.2490 23.60920.720 0.319 0.5094 0.6811 0.8352 0.9795 1.2550 1.5234 2.2200 1.2214 3.9875 7.0626 10.0408 12.9089 18.4556 23.88070.730 0.325 0.5214 0.6993 0.8592 1.0089 1.2948 1.5733 2.2300 1.2276 4.0233 7.1341 10.1477 13.0502 18.6636 24.15400.740 0.330 0.5336 0.7179 0.8835 1.0388 1.3353 1.6241 2.2400 1.2337 4.0593 7.2060 10.2553 13.1924 18.8731 24.42940.750 0.336 0.5460 0.7367 0.9083 1.0692 1.3766 1.6760 2.2500 1.2399 4.0955 7.2784 10.3636 13.3356 19.0840 24.70670.760 0.342 0.5584 0.7557 0.9335 1.1002 1.4186 1.7288 2.2600 1.2461 4.1318 7.3512 10.4726 13.4797 19.2964 24.98590.770 0.347 0.5710 0.7751 0.9591 1.1317 1.4614 1.7827 2.2700 1.2523 4.1684 7.4245 10.5823 13.6248 19.5102 25.26710.780 0.353 0.5838 0.7947 0.9851 1.1637 1.5050 1.8376 2.2800 1.2585 4.2051 7.4982 10.6927 13.7709 19.7255 25.55030.790 0.359 0.5966 0.8146 1.0115 1.1962 1.5494 1.8935 2.2900 1.2646 4.2420 7.5723 10.8038 13.9179 19.9423 25.83540.800 0.365 0.6096 0.8347 1.0383 1.2293 1.5946 1.9505 2.3000 1.2708 4.2792 7.6469 10.9157 14.0659 20.1606 26.12250.810 0.370 0.6228 0.8552 1.0655 1.2630 1.6406 2.0085 2.3100 1.2770 4.3165 7.7220 11.0282 14.2149 20.3804 26.41160.820 0.376 0.6361 0.8759 1.0931 1.2972 1.6873 2.0675 2.3200 1.2832 4.3540 7.7975 11.1415 14.3649 20.6016 26.70270.830 0.382 0.6495 0.8969 1.1211 1.3319 1.7349 2.1276 2.3300 1.2894 4.3916 7.8734 11.2554 14.5158 20.8243 26.99580.840 0.388 0.6630 0.9181 1.1496 1.3672 1.7833 2.1888 2.3400 1.2956 4.4295 7.9498 11.3701 14.6677 21.0486 27.29090.850 0.393 0.6767 0.9397 1.1785 1.4030 1.8325 2.2511 2.3500 1.3018 4.4676 8.0267 11.4855 14.8206 21.2743 27.58790.860 0.399 0.6905 0.9615 1.2078 1.4394 1.8826 2.3144 2.3600 1.3079 4.5058 8.1039 11.6017 14.9745 21.5015 27.88700.870 0.405 0.7045 0.9836 1.2375 1.4764 1.9334 2.3788 2.3700 1.3141 4.5443 8.1817 11.7185 15.1294 21.7302 28.18810.880 0.411 0.7186 1.0060 1.2676 1.5139 1.9851 2.4444 2.3800 1.3203 4.5829 8.2599 11.8361 15.2852 21.9605 28.49120.890 0.417 0.7328 1.0287 1.2982 1.5520 2.0377 2.5110 2.3900 1.3265 4.6217 8.3385 11.9544 15.4421 22.1922 28.79640.900 0.422 0.7471 1.0516 1.3292 1.5907 2.0911 2.5787 2.4000 1.3327 4.6607 8.4177 12.0734 15.5999 22.4255 29.10360.910 0.428 0.7616 1.0749 1.3607 1.6299 2.1453 2.6476 2.4100 1.3389 4.6999 8.4972 12.1932 15.7588 22.6603 29.41280.920 0.434 0.7763 1.0984 1.3926 1.6697 2.2004 2.7176 2.4200 1.3451 4.7393 8.5773 12.3137 15.9186 22.8966 29.72400.930 0.440 0.7911 1.1223 1.4249 1.7101 2.2563 2.7887 2.4300 1.3513 4.7789 8.6577 12.4349 16.0795 23.1344 30.03730.940 0.446 0.8060 1.1464 1.4576 1.7511 2.3131 2.8609 2.4400 1.3575 4.8187 8.7387 12.5569 16.2413 23.3738 30.35270.950 0.451 0.8210 1.1708 1.4908 1.7927 2.3708 2.9343 2.4500 1.3637 4.8587 8.8201 12.6796 16.4042 23.6147 30.67010.960 0.457 0.8362 1.1955 1.5245 1.8349 2.4294 3.0089 2.4600 1.3699 4.8988 8.9020 12.8030 16.5681 23.8572 30.98960.970 0.463 0.8516 1.2205 1.5586 1.8776 2.4888 3.0846 2.4700 1.3761 4.9392 8.9843 12.9272 16.7330 24.1012 31.31110.980 0.469 0.8670 1.2458 1.5931 1.9210 2.5491 3.1615 2.4800 1.3823 4.9797 9.0671 13.0521 16.8989 24.3468 31.63470.990 0.475 0.8827 1.2714 1.6281 1.9650 2.6104 3.2395 2.4900 1.3885 5.0205 9.1503 13.1778 17.0658 24.5939 31.96041.000 0.481 0.8984 1.2973 1.6636 2.0095 2.6725 3.3187 2.5000 1.3947 5.0614 9.2341 13.3042 17.2337 24.8425 32.28821.010 0.487 0.9143 1.3235 1.6995 2.0547 2.7355 3.3992 2.5100 1.4009 5.1026 9.3183 13.4313 17.4027 25.0928 32.61811.020 0.493 0.9303 1.3500 1.7359 2.1005 2.7994 3.4808 2.5200 1.4071 5.1439 9.4029 13.5592 17.5727 25.3445 32.95001.030 0.498 0.9465 1.3768 1.7727 2.1469 2.8642 3.5636 2.5300 1.4133 5.1854 9.4880 13.6879 17.7437 25.5979 33.28411.040 0.504 0.9628 1.4039 1.8100 2.1939 2.9300 3.6477 2.5400 1.4195 5.2272 9.5736 13.8173 17.9157 25.8528 33.62031.050 0.510 0.9793 1.4313 1.8477 2.2416 2.9967 3.7329 2.5500 1.4257 5.2691 9.6597 13.9475 18.0888 26.1093 33.95851.060 0.516 0.9959 1.4590 1.8860 2.2898 3.0643 3.8194 2.5600 1.4319 5.3112 9.7463 14.0784 18.2629 26.3674 34.29891.070 0.522 1.0127 1.4870 1.9246 2.3387 3.1328 3.9071 2.5700 1.4381 5.3535 9.8333 14.2100 18.4381 26.6271 34.64151.080 0.528 1.0296 1.5153 1.9638 2.3882 3.2023 3.9960 2.5800 1.4443 5.3960 9.9208 14.3425 18.6143 26.8884 34.98611.090 0.534 1.0466 1.5440 2.0034 2.4384 3.2727 4.0862 2.5900 1.4505 5.4387 10.0087 14.4757 18.7915 27.1512 35.33291.100 0.540 1.0638 1.5729 2.0436 2.4892 3.3440 4.1777 2.6000 1.4567 5.4816 10.0972 14.6096 18.9698 27.4157 35.68181.110 0.546 1.0811 1.6022 2.0841 2.5406 3.4163 4.2704 2.6100 1.4629 5.5247 10.1861 14.7444 19.1491 27.6817 36.03281.120 0.552 1.0986 1.6317 2.1252 2.5927 3.4896 4.3643 2.6200 1.4691 5.5680 10.2755 14.8799 19.3295 27.9493 36.38601.130 0.558 1.1162 1.6616 2.1668 2.6454 3.5638 4.4596 2.6300 1.4753 5.6115 10.3654 15.0161 19.5109 28.2186 36.74141.140 0.564 1.1340 1.6918 2.2088 2.6987 3.6390 4.5561 2.6400 1.4815 5.6553 10.4557 15.1531 19.6934 28.4895 37.09891.150 0.569 1.1519 1.7223 2.2513 2.7528 3.7152 4.6539 2.6500 1.4877 5.6992 10.5466 15.2909 19.8769 28.7620 37.45861.160 0.575 1.1699 1.7532 2.2943 2.8074 3.7923 4.7530 2.6600 1.4939 5.7433 10.6379 15.4295 20.0615 29.0361 37.82041.170 0.581 1.1881 1.7843 2.3378 2.8628 3.8704 4.8534 2.6700 1.5001 5.7876 10.7297 15.5689 20.2472 29.3118 38.18441.180 0.587 1.2065 1.8158 2.3818 2.9187 3.9496 4.9551 2.6800 1.5063 5.8321 10.8220 15.7090 20.4339 29.5891 38.55061.190 0.593 1.2250 1.8476 2.4263 2.9754 4.0297 5.0581 2.6900 1.5125 5.8768 10.9148 15.8499 20.6217 29.8681 38.91901.200 0.599 1.2436 1.8797 2.4713 3.0327 4.1107 5.1624 2.7000 1.5187 5.9217 11.0080 15.9916 20.8106 30.1487 39.28961.210 0.605 1.2624 1.9122 2.5168 3.0907 4.1928 5.2681 2.7100 1.5250 5.9668 11.1018 16.1340 21.0005 30.4310 39.66231.220 0.611 1.2813 1.9449 2.5628 3.1494 4.2760 5.3750 2.7200 1.5312 6.0121 11.1960 16.2773 21.1915 30.7149 40.03731.230 0.617 1.3004 1.9780 2.6093 3.2087 4.3601 5.4834 2.7300 1.5374 6.0576 11.2907 16.4213 21.3836 31.0004 40.41441.240 0.623 1.3196 2.0114 2.6563 3.2687 4.4452 5.5930 2.7400 1.5436 6.1033 11.3859 16.5661 21.5767 31.2876 40.79381.250 0.629 1.3390 2.0452 2.7038 3.3294 4.5313 5.7041 2.7500 1.5498 6.1493 11.4816 16.7117 21.7710 31.5764 41.17541.260 0.635 1.3586 2.0793 2.7518 3.3908 4.6185 5.8164 2.7600 1.5560 6.1954 11.5778 16.8581 21.9663 31.8669 41.55921.270 0.641 1.3783 2.1137 2.8003 3.4528 4.7067 5.9302 2.7700 1.5622 6.2417 11.6745 17.0053 22.1627 32.1591 41.94521.280 0.647 1.3981 2.1484 2.8494 3.5156 4.7960 6.0453 2.7800 1.5685 6.2882 11.7717 17.1533 22.3602 32.4529 42.33351.290 0.653 1.4181 2.1835 2.8989 3.5791 4.8863 6.1618 2.7900 1.5747 6.3350 11.8694 17.3021 22.5588 32.7484 42.72401.300 0.659 1.4382 2.2189 2.9490 3.6432 4.9776 6.2797 2.8000 1.5809 6.3819 11.9676 17.4517 22.7585 33.0456 43.11671.310 0.665 1.4585 2.2547 2.9996 3.7081 5.0700 6.3990 2.8100 1.5871 6.4291 12.0662 17.6020 22.9592 33.3444 43.51171.320 0.671 1.4790 2.2908 3.0507 3.7736 5.1634 6.5196 2.8200 1.5933 6.4764 12.1654 17.7532 23.1611 33.6449 43.90901.330 0.677 1.4995 2.3272 3.1024 3.8399 5.2579 6.6417 2.8300 1.5995 6.5240 12.2651 17.9052 23.3641 33.9471 44.30841.340 0.683 1.5203 2.3640 3.1545 3.9068 5.3534 6.7652 2.8400 1.6058 6.5717 12.3653 18.0580 23.5682 34.2510 44.71021.350 0.689 1.5412 2.4011 3.2072 3.9745 5.4500 6.8901 2.8500 1.6120 6.6197 12.4659 18.2115 23.7734 34.5566 45.11421.360 0.695 1.5623 2.4385 3.2605 4.0429 5.5477 7.0164 2.8600 1.6182 6.6679 12.5671 18.3659 23.9797 34.8639 45.52051.370 0.701 1.5835 2.4763 3.3142 4.1120 5.6465 7.1442 2.8700 1.6244 6.7163 12.6688 18.5211 24.1871 35.1728 45.92911.380 0.707 1.6048 2.5144 3.3685 4.1819 5.7463 7.2734 2.8800 1.6306 6.7649 12.7710 18.6771 24.3956 35.4835 46.33991.390 0.713 1.6263 2.5529 3.4233 4.2524 5.8473 7.4040 2.8900 1.6369 6.8137 12.8737 18.8340 24.6052 35.7959 46.75301.400 0.719 1.6480 2.5917 3.4787 4.3237 5.9493 7.5361 2.9000 1.6431 6.8627 12.9768 18.9916 24.8159 36.1100 47.16851.410 0.726 1.6698 2.6309 3.5346 4.3957 6.0524 7.6696 2.9100 1.6493 6.9119 13.0805 19.1501 25.0278 36.4258 47.58621.420 0.732 1.6918 2.6704 3.5911 4.4685 6.1567 7.8046 2.9200 1.6555 6.9613 13.1848 19.3093 25.2408 36.7433 48.00621.430 0.738 1.7140 2.7103 3.6481 4.5419 6.2620 7.9411 2.9300 1.6617 7.0110 13.2895 19.4694 25.4549 37.0625 48.42851.440 0.744 1.7363 2.7505 3.7056 4.6161 6.3684 8.0791 2.9400 1.6680 7.0608 13.3947 19.6303 25.6701 37.3835 48.85321.450 0.750 1.7587 2.7911 3.7637 4.6911 6.4760 8.2185 2.9500 1.6742 7.1109 13.5004 19.7921 25.8865 37.7062 49.28011.460 0.756 1.7813 2.8320 3.8224 4.7668 6.5846 8.3594 2.9600 1.6804 7.1611 13.6067 19.9546 26.1040 38.0306 49.70941.470 0.762 1.8041 2.8733 3.8816 4.8433 6.6944 8.5018 2.9700 1.6866 7.2116 13.7134 20.1180 26.3226 38.3568 50.14101.480 0.768 1.8270 2.9149 3.9413 4.9205 6.8054 8.6457 2.9800 1.6929 7.2623 13.8207 20.2822 26.5424 38.6846 50.57501.490 0.774 1.8501 2.9569 4.0016 4.9984 6.9174 8.7911 2.9900 1.6991 7.3132 13.9285 20.4472 26.7633 39.0143 51.01121.500 0.780 1.8733 2.9993 4.0625 5.0771 7.0306 8.9380 3.0000 1.7053 7.3643 14.0368 20.6131 26.9853 39.3457 51.4498

y/bValor de K` para diversos taludes. Z variable desde 0 hasta 4

y/b

Tabla de relaciones hidráulicas adimensionales para secciones trapezoidales en Flujo Uniforme. Basado en Manning con referencia en Ven Te Chow. Editado por Maikel Mendez (www.itcr.ac.cr) en Unidades

del SIValor de K` para diversos taludes. Z variable desde 0 hasta 4

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b SQn

bAR `K ==