apuntes de lab de hidraulica

8/19/2019 apuntes de lab de hidraulica

1/16

METODO DE TRAMOS FIJOS

DATOS:Q = 2m3/s y1= 1.5mn = 0.025 Longitud= 2000 m

So = 0.0005b = 1 mZ = 2

X ∆X So∆X A ! " "#2/3 $ $#2/%2g& ' So∆X('

1 2 3 , 5 - 10 11 12 13 1, 10.00 200.00 0.1000 1.5000 6.0000 7.7082 0.7784 0.8462 0.3333 0.0057 1.50566 1.60566 0.000087 - - 0.0000

200.00 200.00 0.1000 1.4400 5.5872 7.4399 0.7510 0.8262 0.3580 0.0065 1 .44653 1.54653 0.000103 0.0000950 0.019007 1.46554

400.00 200.00 0.1000 1.3470 4.9758 7.0240 0.7084 0.7947 0.4019 0.0082 1 .35523 1.45523 0.000137 0.0001202 0.024048 1.37928

600.00 200.00 0.1000 1.2820 4.5690 6.7333 0.6786 0.7722 0.4377 0.0098 1 .29177 1.39177 0.000169 0.0001531 0.030622 1.32239

800.00 200.00 0.1000 1.2240 4.2204 6.4739 0.6519 0.7518 0.4739 0.0114 1 .23545 1.33545 0.000205 0.0001872 0.037435 1.27288

1000.00 200.00 0.1000 1.1770 3.9477 6.2637 0.6302 0.7351 0.5066 0.0131 1 .19008 1.29008 0.000242 0.0002236 0.044712 1.23479

1200.00 200.00 0.1000 1.1390 3.7336 6.0938 0.6127 0.7214 0.5357 0.0146 1 .15362 1.25362 0.000277 0.0002595 0.051901 1.20553

1400.00 200.00 0.1000 1.1110 3.5796 5.9685 0.5998 0.7112 0.5587 0.0159 1 .12691 1.22691 0.000307 0.0002923 0.058454 1.18536

1600.00 200.00 0.1000 1.0900 3.4662 5.8746 0.5900 0.7035 0.5770 0.0170 1 .10697 1.20697 0.000333 0.0003200 0.063992 1.17096

1800.00 200.00 0.1000 1.0760 3.3916 5.8120 0.5835 0.6983 0.5897 0.0177 1 .09372 1.19372 0.000351 0.0003417 0.068340 1.16206

2000.00 200.00 0.1000 1.0660 3.3387 5.7673 0.5789 0.6946 0.5990 0.0183 1 .08429 1.18429 0.000365 0.0003577 0.071540 1.15583

S' S' S' ∆

1 5000

2.0000

Perfl M. Tramos Fijos


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1 5000

0.0000

0.5000


3/16

METODO DIRECTO POR TRAMOSDATOS:

Q = 0.35m3/sn = 0.015 Y1= 0.3,

So = 0.001 Y2= 0.5b = 0., m 0.02Z = 0. 5 +"$A 2

A T " "#2/3 $ $#2/%2g& ' ∆' ∆

1 2 3 , 5 - 10 11 12 10.340 0.22 1.2996 0.1782 0.3166 1.57 0.1259 0.4659 0.0000 0.0055436768 0.360 0.24 1.3525 0.1855 0.3253 1.45 0.1073 0.4673 0.0014 0.0044769825 0.0050 -0.00401 -0.3563

0.380 0.26 1.4054 0.1928 0.3338 1.34 0.0921 0.4721 0.0048 0.0036518792 0.0041 -0.00306 -1.5755

0.400 0.28 1.4583 0.2000 0.3420 1.25 0.0796 0.4796 0.0075 0.0030058171 0.0033 -0.00233 -3.2160

0.420 0.30 1.5112 0.2071 0.3500 1.17 0.0692 0.4892 0.0096 0.0024943545 0.0028 -0.00175 -5.4837

0.440 0.32 1.5641 0.2141 0.3579 1.09 0.0605 0.5005 0.0113 0.0020853958 0.0023 -0.00129 -8.7474

0.460 0.34 1.6170 0.2211 0.3656 1.02 0.0532 0.5132 0.0126 0.0017554179 0.0019 -0.00092 -13.7382

0.480 0.36 1.6700 0.2280 0.3732 0.96 0.0469 0.5269 0.0138 0.0014869481 0.0016 -0.00062 -22.14130.500 0.39 1.7229 0.2348 0.3806 0.90 0.0416 0.5416 0.0147 0.0012668490 0.0014 -0.00038 -38.9075

∆ Y=

S ' 4 ' S' S0

0.200

0.300

0.400

0.500

0.600

Perfl M. Directo por Tramos

Perfl


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-100.00 -80.00 -60.00 -40.00 -20.00 0.00

0.000

0.100


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METODO DE LA INTEGRACION DIRECTADATOS RES!LTADOS PARCIALES

Ca"#al $%& '.( )p*+ , '.- /0 1) , '.'2(2A3c4o #e solera $+& 2

Tal"# $5& 2 6alor #e M 7.-8'9 6alor #e N 7./-7 6alor #e J 7.272Pe3#ie3te $So& '.'''0

Tira3te 3ormal $)3& './ / ) ",)*)3 :,";$N*J& F$"


6/16

'.'' '.782'.07 '.-''29.'0 '.-2(90.99 '.-787(.8- '.-0 -

2/.89 '.- /09/.'- '.-(0/78.89 '.02-00./- '.0778

8.'0 '.009(2'8.'0 '.0 9

0.00 20.00 40.00 60.00 80.00 100.00

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7


7/16


8/16


9/16

CALC!LO DE LAS INTEGRALES POR EL METODO DE TRAPECIOF(u,N) F(v,J)a 0 a 0 integralb (u) 0.6766 integral 0.7174 b (v) 0.8234

! 0.006766 tra"e#i$% ! 0.0082340 1 1.0000 1.0000 0.0068 0 1

0.0068 1.0000 1.0000 1.0000 0.0068 0.008234 1.00000.0135 1.0000 1.0000 1.0000 0.0068 0.016468 1.0000

0.0203 1.0000 1.0000 1.0000 0.0068 0.024702 1.00000.0271 1.0000 1.0000 1.0000 0.0068 0.032936 1.00000.0338 1.0000 1.0000 1.0000 0.0068 0.04117 1.00000.0406 1.0000 1.0000 1.0000 0.0068 0.049404 1.00010.0474 1.0000 1.0000 1.0000 0.0068 0.057638 1.00010.0541 1.0000 1.0000 1.0000 0.0068 0.065872 1.00020.0609 1.0000 1.0001 1.0000 0.0068 0.074106 1.00030.0677 1.0001 1.0001 1.0001 0.0068 0.08234 1.00040.0744 1.0001 1.0001 1.0001 0.0068 0.090574 1.00050.0812 1.0001 1.0001 1.0001 0.0068 0.098808 1.0007

0.0880 1.0001 1.0002 1.0002 0.0068 0.107042 1.00090.0947 1.0002 1.0002 1.0002 0.0068 0.115276 1.00120.1015 1.0002 1.0003 1.0003 0.0068 0.12351 1.00140.1083 1.0003 1.0004 1.0003 0.0068 0.131744 1.00180.1150 1.0004 1.0005 1.0004 0.0068 0.139978 1.00210.1218 1.0005 1.0006 1.0005 0.0068 0.148212 1.00250.1286 1.0006 1.0007 1.0006 0.0068 0.156446 1.00300.1353 1.0007 1.0008 1.0008 0.0068 0.16468 1.00350.1421 1.0008 1.0010 1.0009 0.0068 0.172914 1.0041

0.1489 1.0010 1.0011 1.0011 0.0068 0.181148 1.0048

0.1556 1.0011 1.0013 1.0012 0.0068 0.189382 1.0055


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0.1624 1.0013 1.0015 1.0014 0.0068 0.197616 1.0063

0.1692 1.0015 1.0018 1.0017 0.0068 0.20585 1.00710.1759 1.0018 1.0020 1.0019 0.0068 0.214084 1.00810.1827 1.0020 1.0023 1.0022 0.0068 0.222318 1.0091

0.1894 1.0023 1.0027 1.0025 0.0068 0.230552 1.0102

0.1962 1.0027 1.0030 1.0028 0.0068 0.238786 1.01140.2030 1.0030 1.0034 1.0032 0.0068 0.24702 1.0127

0.2097 1.0034 1.0038 1.0036 0.0068 0.255254 1.01410.2165 1.0038 1.0043 1.0040 0.0068 0.263488 1.01560.2233 1.0043 1.0048 1.0045 0.0068 0.271722 1.01720.2300 1.0048 1.0053 1.0050 0.0068 0.279956 1.0189

0.2368 1.0053 1.0059 1.0056 0.0068 0.28819 1.02070.2436 1.0059 1.0065 1.0062 0.0068 0.296424 1.02270.2503 1.0065 1.0071 1.0068 0.0068 0.304658 1.0248

0.2571 1.0071 1.0079 1.0075 0.0068 0.312892 1.02700.2639 1.0079 1.0086 1.0082 0.0068 0.321126 1.02930.2706 1.0086 1.0094 1.0090 0.0068 0.32936 1.03180.2774 1.0094 1.0103 1.0099 0.0068 0.337594 1.03450.2842 1.0103 1.0112 1.0108 0.0068 0.345828 1.03730.2909 1.0112 1.0122 1.0117 0.0068 0.354062 1.04030.2977 1.0122 1.0133 1.0128 0.0069 0.362296 1.04340.3045 1.0133 1.0144 1.0139 0.0069 0.37053 1.04670.3112 1.0144 1.0156 1.0150 0.0069 0.378764 1.05020.3180 1.0156 1.0169 1.0163 0.0069 0.386998 1.05390.3248 1.0169 1.0182 1.0176 0.0069 0.395232 1.05780.3315 1.0182 1.0197 1.0189 0.0069 0.403466 1.06190.3383 1.0197 1.0212 1.0204 0.0069 0.4117 1.06620.3451 1.0212 1.0227 1.0219 0.0069 0.419934 1.07070.3518 1.0227 1.0244 1.0236 0.0069 0.428168 1.07550.3586 1.0244 1.0262 1.0253 0.0069 0.436402 1.08050.3654 1.0262 1.0280 1.0271 0.0069 0.444636 1.08580.3721 1.0280 1.0300 1.0290 0.0070 0.45287 1.09130.3789 1.0300 1.0321 1.0310 0.0070 0.461104 1.09710.3857 1.0321 1.0342 1.0331 0.0070 0.469338 1.10320.3924 1.0342 1.0365 1.0354 0.0070 0.477572 1.1097

0.3992 1.0365 1.0389 1.0377 0.0070 0.485806 1.11640.4060 1.0389 1.0414 1.0402 0.0070 0.49404 1.1235

120.00

Perfl


11/16

0.4127 1.0414 1.0441 1.0427 0.0071 0.502274 1.13090.4195 1.0441 1.0468 1.0454 0.0071 0.510508 1.13870.4263 1.0468 1.0497 1.0483 0.0071 0.518742 1.14680.4330 1.0497 1.0528 1.0513 0.0071 0.526976 1.15540.4398 1.0528 1.0560 1.0544 0.0071 0.53521 1.16440.4466 1.0560 1.0593 1.0576 0.0072 0.543444 1.17390.4533 1.0593 1.0628 1.0611 0.0072 0.551678 1.18380.4601 1.0628 1.0665 1.0646 0.0072 0.559912 1.19420.4669 1.0665 1.0703 1.0684 0.0072 0.568146 1.20520.4736 1.0703 1.0743 1.0723 0.0073 0.57638 1.21670.4804 1.0743 1.0785 1.0764 0.0073 0.584614 1.22870.4872 1.0785 1.0829 1.0807 0.0073 0.592848 1.24150.4939 1.0829 1.0874 1.0852 0.0073 0.601082 1.25480.5007 1.0874 1.0922 1.0898 0.0074 0.609316 1.26890.5075 1.0922 1.0972 1.0947 0.0074 0.61755 1.28370.5142 1.0972 1.1025 1.0998 0.0074 0.625784 1.2994

0.5210 1.1025 1.1079 1.1052 0.0075 0.634018 1.31580.5277 1.1079 1.1136 1.1108 0.0075 0.642252 1.33320.5345 1.1136 1.1196 1.1166 0.0076 0.650486 1.35150.5413 1.1196 1.1258 1.1227 0.0076 0.65872 1.37090.5480 1.1258 1.1324 1.1291 0.0076 0.666954 1.39130.5548 1.1324 1.1392 1.1358 0.0077 0.675188 1.41300.5616 1.1392 1.1463 1.1427 0.0077 0.683422 1.43590.5683 1.1463 1.1537 1.1500 0.0078 0.691656 1.46030.5751 1.1537 1.1615 1.1576 0.0078 0.69989 1.48610.5819 1.1615 1.1696 1.1655 0.0079 0.708124 1.51350.5886 1.1696 1.1781 1.1739 0.0079 0.716358 1.54280.5954 1.1781 1.1870 1.1826 0.0080 0.724592 1.57390.6022 1.1870 1.1963 1.1916 0.0081 0.732826 1.60710.6089 1.1963 1.2060 1.2012 0.0081 0.74106 1.64260.6157 1.2060 1.2162 1.2111 0.0082 0.749294 1.68060.6225 1.2162 1.2269 1.2215 0.0083 0.757528 1.72140.6292 1.2269 1.2380 1.2324 0.0083 0.765762 1.76530.6360 1.2380 1.2497 1.2439 0.0084 0.773996 1.81250.6428 1.2497 1.2620 1.2558 0.0085 0.78223 1.86360.6495 1.2620 1.2748 1.2684 0.0086 0.790464 1.91880.6563 1.2748 1.2883 1.2816 0.0087 0.798698 1.97880.6631 1.2883 1.3024 1.2954 0.0088 0.806932 2.04410.6698 1.3024 1.3173 1.3099 0.0089 0.815166 2.1154


12/16

0.6766 1.3173 0.8234 2.1937


13/16

0.9880

1.0000 1.0000 0.00821.0000 1.0000 0.00821.0000 1.0000 0.0082

1.0000 1.0000 0.00821.0000 1.0000 0.00821.0001 1.0001 0.00821.0001 1.0001 0.00821.0002 1.0002 0.00821.0003 1.0002 0.00821.0004 1.0003 0.00821.0005 1.0005 0.00821.0007 1.0006 0.00821.0009 1.0008 0.0082

1.0012 1.0010 0.00821.0014 1.0013 0.00821.0018 1.0016 0.00821.0021 1.0019 0.00821.0025 1.0023 0.00831.0030 1.0028 0.00831.0035 1.0033 0.00831.0041 1.0038 0.00831.0048 1.0044 0.0083

1.0055 1.0051 0.0083

1.0063 1.0059 0.0083


14/16

1.0071 1.0067 0.00831.0081 1.0076 0.00831.0091 1.0086 0.00831.0102 1.0096 0.00831.0114 1.0108 0.0083

1.0127 1.0120 0.00831.0141 1.0134 0.00831.0156 1.0148 0.00841.0172 1.0164 0.00841.0189 1.0180 0.00841.0207 1.0198 0.00841.0227 1.0217 0.00841.0248 1.0237 0.00841.0270 1.0259 0.0084

1.0293 1.0282 0.00851.0318 1.0306 0.00851.0345 1.0332 0.00851.0373 1.0359 0.00851.0403 1.0388 0.00861.0434 1.0418 0.00861.0467 1.0451 0.00861.0502 1.0485 0.00861.0539 1.0521 0.00871.0578 1.0558 0.0087

1.0619 1.0598 0.00871.0662 1.0640 0.00881.0707 1.0685 0.00881.0755 1.0731 0.00881.0805 1.0780 0.00891.0858 1.0831 0.00891.0913 1.0885 0.00901.0971 1.0942 0.00901.1032 1.1002 0.00911.1097 1.1064 0.00911.1164 1.1130 0.00921.1235 1.1199 0.00921.1309 1.1272 0.0093


15/16

1.1387 1.1348 0.00931.1468 1.1427 0.00941.1554 1.1511 0.00951.1644 1.1599 0.00961.1739 1.1691 0.00961.1838 1.1788 0.00971.1942 1.1890 0.00981.2052 1.1997 0.00991.2167 1.2109 0.01001.2287 1.2227 0.01011.2415 1.2351 0.01021.2548 1.2482 0.01031.2689 1.2619 0.01041.2837 1.2763 0.01051.2994 1.2915 0.01061.3158 1.3076 0.0108

1.3332 1.3245 0.01091.3515 1.3423 0.01111.3709 1.3612 0.01121.3913 1.3811 0.01141.4130 1.4022 0.01151.4359 1.4245 0.01171.4603 1.4481 0.01191.4861 1.4732 0.01211.5135 1.4998 0.01231.5428 1.5281 0.01261.5739 1.5583 0.01281.6071 1.5905 0.01311.6426 1.6249 0.01341.6806 1.6616 0.01371.7214 1.7010 0.01401.7653 1.7434 0.01441.8125 1.7889 0.01471.8636 1.8381 0.01511.9188 1.8912 0.01561.9788 1.9488 0.01602.0441 2.0114 0.0166

2.1154 2.0798 0.01712.1937 2.1546 0.0177


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