datos:Q 200ALFA 1.125n 0.035

0.0025B 45Z1 4g 9.81Z2 3Sistema uni 1CALCULO DEL TIRANTE CRÍTICO:

i h A1 0.1 4.535 93.267830375 45.72 0.2 9.14 763.551944 46.43 0.3 13.815 2636.651118375 47.14 0.4 18.56 6393.430016 47.85 0.5 23.375 12771.880859375 48.56 0.6 28.26 22569.215976 49.27 0.7 33.215 36643.991213375 49.98 0.8 38.24 55918.260224 50.69 0.9 43.335 81379.759620375 51.3

10 1 48.5 114084.125 5211 1.1 53.735 155157.137840375 52.712 1.2 59.04 205797.003264 53.413 1.3 64.415 267276.658673375 54.114 1.4 69.86 340946.113256 54.815 1.5 75.375 428234.818359375 55.516 1.6 80.96 530654.068736 56.217 1.7 86.615 649799.434658375 56.918 1.8 92.34 787353.224904 57.619 1.9 98.135 945086.980610375 58.320 2 104 1124864 5921 2.1 109.935 1328641.89397538 59.722 2.2 115.94 1558475.172584 60.423 2.3 122.015 1816517.86235337 61.124 2.4 128.16 2105026.154496 61.825 2.5 134.375 2426361.08398438 62.526 2.6 140.66 2782991.239496 63.227 2.7 147.015 3177495.50422838 63.928 2.8 153.44 3612565.827584 64.629 2.9 159.935 4091010.02772538 65.330 3 166.5 4615754.625 66

S0

𝐴^3 𝑑𝐴/𝑑ℎ=B+2Zh

31 3.1 173.135 5189847.70623537 66.732 3.2 179.84 5816461.819904 67.433 3.3 186.615 6498896.90215838 68.134 3.4 193.46 7240583.233736 68.835 3.5 200.375 8045084.42773438 69.536 3.6 207.36 8916100.448256 70.237 3.7 214.415 9857470.65992338 70.938 3.8 221.54 10873176.908264 71.639 3.9 228.735 11967346.6309654 72.340 4 236 13144256 7341 4.1 243.335 14408333.0946204 73.742 4.2 250.74 15764161.105224 74.443 4.3 258.215 17216481.5680884 75.144 4.4 265.76 18770197.630976 75.845 4.5 273.375 20430377.3496094 76.546 4.6 281.06 22202257.015016 77.247 4.7 288.815 24091244.5117434 77.948 4.8 296.64 26102922.706944 78.649 4.9 304.535 28243052.8703304 79.350 5 312.5 30517578.125 8051 5.1 320.535 32932626.9291304 80.752 5.2 328.64 35494516.588544 81.453 5.3 336.815 38209756.8001434 82.154 5.4 345.06 41085053.226216 82.855 5.5 353.375 44127311.0996094 83.556 5.6 361.76 47343638.859776 84.257 5.7 370.215 50741351.8196884 84.958 5.8 378.74 54327975.863624 85.659 5.9 387.335 58111251.1758204 86.360 6 396 62099136 8761 6.1 404.735 66299810.4297654 87.762 6.2 413.54 70721680.229864 88.463 6.3 422.415 75373380.6883234 89.164 6.4 431.36 80263780.499456 89.865 6.5 440.375 85401985.6777344 90.566 6.6 449.46 90797343.502536 91.267 6.7 458.615 96459446.4937584 91.968 6.8 467.84 102398136.418304 92.669 6.9 477.135 108623508.327435 93.370 7 486.5 115145914.625 9471 7.1 495.935 121975969.166525 94.772 7.2 505.44 129124551.389184 95.473 7.3 515.015 136602810.472628 96.174 7.4 524.66 144422169.530696 96.875 7.5 534.375 152594329.833984 97.5

76 7.6 544.16 161131275.063296 98.277 7.7 554.015 170045275.593953 98.978 7.8 563.94 179348892.810984 99.679 7.9 573.935 189054983.455175 100.380 8 584 199176704 10181 8.1 594.135 209727515.05941 101.782 8.2 604.34 220721185.826504 102.483 8.3 614.615 232171798.543059 103.184 8.4 624.96 244093752.999936 103.885 8.5 635.375 256501771.068359 104.586 8.6 645.86 269410901.262056 105.287 8.7 656.415 282836523.330273 105.988 8.8 667.04 296794352.881664 106.689 8.9 677.735 311300446.03904 107.390 9 688.5 326371204.125 10891 9.1 699.335 342023378.37842 108.792 9.2 710.24 358274074.701824 109.493 9.3 721.215 375140758.439614 110.194 9.4 732.26 392641259.187176 110.895 9.5 743.375 410793775.630859 111.596 9.6 754.56 429616880.418816 112.297 9.7 765.815 449129525.062718 112.998 9.8 777.14 469351044.870344 113.699 9.9 788.535 490301163.909031 114.3

100 10 800 512000000 115

Por formula:

2.04087156181619 4587.1559633027516.455860862069 4587.15596330275

55.9798538933121 4587.15596330275133.753766025105 4587.15596330275263.337749677835 4587.15596330275458.72390195122 4587.15596330275734.34852131012 4587.15596330275

1105.10395699605 4587.155963302751586.35009006579 4587.155963302752193.92548076923 4587.155963302752944.15821328985 4587.155963302753853.87646561798 4587.155963302754940.41882945241 4587.155963302756221.64440248175 4587.155963302757715.94267314189 4587.155963302759442.24321594306 4587.1559633027511420.0252136797 4587.15596330275

13669.32682125 4587.1559633027516210.7543843975 4587.1559633027519065.4915254237 4587.1559633027522255.3081067902 4587.1559633027525802.5690825166 4587.1559633027529730.2432463727 4587.1559633027534061.9118850485 4587.15596330275

38821.77734375 4587.1559633027544034.6715110127 4587.1559633027549726.0642289261 4587.1559633027555922.0716344272 4587.1559633027562649.4644368358 4587.1559633027569935.6761363636 4587.15596330275

𝐴^3/𝑑𝐴/𝑑ℎ

(∝∗𝑄^2∗𝑑𝐴)/(𝐺∗𝐴^3∗𝑑ℎ)=1(∝∗𝑄^2)/𝐺=𝐴^3/(𝑑𝐴/𝑑ℎ)

𝐴^3/𝑑𝐴/𝑑ℎ(𝑐𝑛𝑡𝑒)

0 500000 1000000 1500000 2000000 2500000 3000000 3500000 4000000 4500000 50000000

2

4

6

8

10

12

Tírante crítico

( ^3)/ /𝐴 𝑑𝐴 𝑑ℎ

Tirante(h)

77808.8111879367 4587.1559633027586297.6531143027 4587.1559633027595431.672572076 4587.15596330275105241.03537407 4587.15596330275

115756.610470998 4587.15596330275127009.977895385 4587.15596330275139033.436670287 4587.15596330275151860.012685251 4587.15596330275165523.466541706 4587.15596330275180058.301369863 4587.15596330275195499.770619001 4587.15596330275211883.885822903 4587.15596330275229247.424342056 4587.15596330275247627.937084116 4587.15596330275267063.756204044 4587.15596330275287594.002785181 4587.15596330275309258.594502482 4587.15596330275332098.253269008 4587.15596330275356154.512866714 4587.15596330275

381469.7265625 4587.15596330275408087.074710413 4587.15596330275436050.572340835 4587.15596330275465405.076737435 4587.15596330275496196.295002609 4587.15596330275528470.791612088 4587.15596330275562275.995959335 4587.15596330275597660.209890323 4587.15596330275634672.615229253 4587.15596330275673363.281295717 4587.15596330275713783.172413793 4587.15596330275755984.155413516 4587.15596330275800019.007125158 4587.15596330275845941.421866704 4587.15596330275

893806.0189249 4587.15596330275943668.350030214 4587.15596330275995584.906826053 4587.155963302751049613.12833252 4587.155963302751105811.40840501 4587.155963302751164239.10318795 4587.155963302751224956.53856383 4587.155963302751288025.01759795 4587.155963302751353506.82797887 4587.155963302751421465.24945503 4587.155963302751491964.56126752 4587.155963302751565070.04957933 4587.15596330275

0 500000 1000000 1500000 2000000 2500000 3000000 3500000 4000000 4500000 50000000

2

4

6

8

10

12

Tírante crítico

( ^3)/ /𝐴 𝑑𝐴 𝑑ℎ

Tirante(h)

1640848.01490118 4587.155963302751719365.77951419 4587.155963302751800691.6948894 4587.15596330275

1884895.14910444 4587.155963302751972046.57425743 4587.155963302752062217.45387818 4587.155963302752155480.33033695 4587.155963302752251908.81225081 4587.155963302752351577.58188763 4587.155963302752454562.40256803 4587.155963302752560940.12606517 4587.155963302752670788.70000258 4587.155963302752784187.17525013 4587.155963302752901215.71331818 4587.15596330275

3021955.59375 4587.155963302753146489.22151261 4587.155963302753274900.13438596 4587.155963302753407273.01035071 4587.155963302753543693.67497451 4587.15596330275 Calculo del tirante crítico :3684249.10879695 4587.155963302753829027.45471315 4587.15596330275 3853.87647 4587.155963978118.02535623 4587.15596330275 1.2 1.26754131611.31047838 4587.155963302754289598.98433098 4587.155963302754452173.91304348 4587.15596330275 Entonces : hc 1.2700

0 500000 1000000 1500000 2000000 2500000 3000000 3500000 4000000 4500000 50000000

2

4

6

8

10

12

Tírante crítico

( ^3)/ /𝐴 𝑑𝐴 𝑑ℎ

Tirante(h)

0 500000 1000000 1500000 2000000 2500000 3000000 3500000 4000000 4500000 50000000

2

4

6

8

10

12

Tírante crítico

( ^3)/ /𝐴 𝑑𝐴 𝑑ℎ

Tirante(h)

4940.418831.3

0 500000 1000000 1500000 2000000 2500000 3000000 3500000 4000000 4500000 50000000

2

4

6

8

10

12

Tírante crítico

( ^3)/ /𝐴 𝑑𝐴 𝑑ℎ

Tirante(h)

0 500000 1000000 1500000 2000000 2500000 3000000 3500000 4000000 4500000 50000000

2

4

6

8

10

12

Tírante crítico

( ^3)/ /𝐴 𝑑𝐴 𝑑ℎ

Tirante(h)

Calculando El tirante normal

vi h A

1 0.1 4.535 12.4249739153 45.7285383286 12.78767371652 0.2 9.14 39.955538928 46.4570766572 12.92313611723 0.3 13.815 79.5398587514 47.1856149857 13.05789222624 0.4 18.56 130.105788722 47.9141533143 13.19195654725 0.5 23.375 191.096485202 48.6426916429 13.32534307086 0.6 28.26 262.192498766 49.3712299715 13.45806529977 0.7 33.215 343.207756722 50.0997683001 13.59013627298 0.8 38.24 434.040051168 50.8283066286 13.72156858799 0.9 43.335 534.643964071 51.5568449572 13.852374422

10 1 48.5 645.014628622 52.2853832858 13.982565551611 1.1 53.735 765.177319494 53.0139216144 14.112153371312 1.2 59.04 895.180434265 53.7424599429 14.241148911113 1.3 64.415 1035.09056961 54.4709982715 14.369562852914 1.4 69.86 1184.98895434 55.1995366001 14.497405545915 1.5 75.375 1344.96879597 55.9280749287 14.624687021216 1.6 80.96 1515.13326216 56.6566132573 14.751417005717 1.7 86.615 1695.59391576 57.3851515858 14.877604935218 1.8 92.34 1886.46948119 58.1136899144 15.003259966219 1.9 98.135 2087.88485811 58.842228243 15.128390988320 2 104 2299.97032249 59.5707665716 15.253006634521 2.1 109.935 2522.86087242 60.2993049002 15.377115292122 2.2 115.94 2756.69568672 61.0278432287 15.500725112323 2.3 122.015 3001.61767301 61.7563815573 15.623844019824 2.4 128.16 3257.77308724 62.4849198859 15.746479721425 2.5 134.375 3525.31121092 63.2134582145 15.868639714826 2.6 140.66 3804.38407554 63.941996543 15.990331296327 2.7 147.015 4095.14622562 64.6705348716 16.111561568828 2.8 153.44 4397.75451391 65.3990732002 16.232337448729 2.9 159.935 4712.36792334 66.1276115288 16.352665672830 3 166.5 5039.14741148 66.8561498574 16.472552805231 3.1 173.135 5378.25577398 67.5846881859 16.592005243532 3.2 179.84 5729.85752418 68.3132265145 16.711029224333 3.3 186.615 6094.11878649 69.0417648431 16.829630829734 3.4 193.46 6471.20720172 69.7703031717 16.94781599235 3.5 200.375 6861.29184245 70.4988415003 17.065590499336 3.6 207.36 7264.54313742 71.2273798288 17.182960000437 3.7 214.415 7681.13280355 71.9559181574 17.299930009538 3.8 221.54 8111.23378465 72.684456486 17.4165059107

𝐴^(5/3) 𝑃^(2/3)P

39 3.9 228.735 8555.02019609 73.4129948146 17.532692962340 4 236 9012.6672746 74.1415331431 17.648496301341 4.1 243.335 9484.35133267 74.8700714717 17.763920946942 4.2 250.74 9970.24971697 75.5986098003 17.878971804643 4.3 258.215 10470.5407704 76.3271481289 17.993653669644 4.4 265.76 10985.4037972 77.0556864575 18.107971230745 4.5 273.375 11515.0190313 77.784224786 18.221929073346 4.6 281.06 12059.5676066 78.5127631146 18.335531682847 4.7 288.815 12619.23153 79.2413014432 18.448783447548 4.8 296.64 13194.1936565 79.9698397718 18.561688661949 4.9 304.535 13784.637666 80.6983781004 18.674251529250 5 312.5 14390.7480416 81.4269164289 18.786476164151 5.1 320.535 15012.7100497 82.1554547575 18.898366595952 5.2 328.64 15650.7097217 82.8839930861 19.009926770253 5.3 336.815 16304.9338361 83.6125314147 19.12116055254 5.4 345.06 16975.5699027 84.3410697432 19.232071727955 5.5 353.375 17662.8061473 85.0696080718 19.342664008256 5.6 361.76 18366.8314974 85.7981464004 19.452941029157 5.7 370.215 19087.8355689 86.526684729 19.56290635558 5.8 378.74 19826.0086534 87.2552230576 19.672563480359 5.9 387.335 20581.5417065 87.9837613861 19.781915831360 6 396 21354.6263367 88.7122997147 19.890966768561 6.1 404.735 22145.4547944 89.4408380433 19.999719587662 6.2 413.54 22954.2199627 90.1693763719 20.108177522363 6.3 422.415 23781.1153469 90.8979147005 20.21634374564 6.4 431.36 24626.3350666 91.626453029 20.324221369165 6.5 440.375 25490.0738463 92.3549913576 20.431813450166 6.6 449.46 26372.5270078 93.0835296862 20.539122987667 6.7 458.615 27273.8904624 93.8120680148 20.646152926168 6.8 467.84 28194.3607033 94.5406063433 20.752906157369 6.9 477.135 29134.1347989 95.2691446719 20.859385520570 7 486.5 30093.4103858 95.9976830005 20.965593804771 7.1 495.935 31072.3856627 96.7262213291 21.071533749672 7.2 505.44 32071.2593838 97.4547596577 21.177208046573 7.3 515.015 33090.2308534 98.1832979862 21.282619340274 7.4 524.66 34129.49992 98.9118363148 21.387770229475 7.5 534.375 35189.2669707 99.6403746434 21.492663268576 7.6 544.16 36269.7329264 100.368912972 21.597300968277 7.7 554.015 37371.0992364 101.097451301 21.701685796778 7.8 563.94 38493.5678736 101.825989629 21.805820180979 7.9 573.935 39637.3413302 102.554527958 21.909706507280 8 584 40802.6226126 103.283066286 22.013347122281 8.1 594.135 41989.6152376 104.011604615 22.116744334482 8.2 604.34 43198.5232279 104.740142943 22.219900414383 8.3 614.615 44429.5511081 105.468681272 22.322817595684 8.4 624.96 45682.9039006 106.197219601 22.425498076285 8.5 635.375 46958.7871223 106.925757929 22.527944018686 8.6 645.86 48257.4067801 107.654296258 22.6301575513

87 8.7 656.415 49578.9693682 108.382834586 22.732140768988 8.8 667.04 50923.6818638 109.111372915 22.833895733589 8.9 677.735 52291.7517243 109.839911243 22.935424474790 9 688.5 53683.3868837 110.568449572 23.036728991191 9.1 699.335 55098.7957497 111.296987901 23.137811250592 9.2 710.24 56538.1872 112.025526229 23.238673190693 9.3 721.215 58001.7705799 112.754064558 23.339316719794 9.4 732.26 59489.7556992 113.482602886 23.439743717495 9.5 743.375 61002.3528289 114.211141215 23.539956035496 9.6 754.56 62539.772699 114.939679544 23.639955497597 9.7 765.815 64102.2264951 115.668217872 23.739743900898 9.8 777.14 65689.9258563 116.396756201 23.839323015999 9.9 788.535 67303.0828724 117.125294529 23.9386945877

100 10 800 68941.910081 117.853832858 24.0378603356

72.0335462 79.0259779 81.7380013681

1.3 1.3721 1.4

0.9716367644946 1403.09178349322607 1406.09132449354321 1409.8625088898926 140

14.3408304152028 14019.4821835774116 14025.2541806667125 14031.6319558063307 14038.5958354708888 140

46.1299198808 14054.2211595467875 14062.8587229760365 14072.0335461977696 14081.7380013681116 14091.9656464457648 140102.711031867226 140113.969548401465 140125.737305454904 140138.011032351007 140150.78799725194 140

164.065939839329 140177.843014874646 140192.11774446896 140

206.888977402255 140222.155854206161 140237.917777001531 140254.174383291315 140270.925523068583 140

288.1712387225 140305.911747320844 140324.147424923068 140342.878792637765 140362.106504186322 140381.831334773214 140402.05417109483 140

422.776002344398 140443.997912091789 140465.721070934458 140

𝐴^(5/3)/𝑃^(2/3)

(1.489∗𝐴∗𝑅^(2/3)∗𝑆^0.5)/𝑛=𝑄(𝑄∗𝑛)/(1.489∗𝑆^0.5 )=𝐴∗𝑅^(2/3)

0 500 1000 1500 2000 2500 3000 35000

2

4

6

8

10

12

Tirante normal

Tirante normal

𝐴^(5/3)/ ^(2/3)𝑃

h(pies)

487.946729830429 140510.676214036415 140533.910917584474 140557.652298239269 140581.901872885416 140606.661213300654 140631.931942275985 140657.715730048558 140684.014291017041 140710.829380712704 140738.162793002408 140766.016357502327 140794.391937183492 140823.291426152238 140852.716747590419 140882.669851841748 140913.152714632033 140944.167335412248 140975.715735814452 1401007.79995821154 1401040.42206437264 1401073.58413420669 1401107.28826458748 1401141.53656825397 1401176.33117278034 1401211.67421961051 1401247.56786315257 1401284.0142699288 140

1321.01561777732 1401358.57409510174 1401396.69190016555 1401435.37124042812 1401474.61433191967 1401514.42339865228 1401554.80067206499 1401595.74839050034 1401637.26879871069 1401679.3641473921 140

1722.03669274428 1401765.28869605481 1401809.12242330619 1401853.54014480436 1401898.54413482725 1401944.13667129232 1401990.32003544183 1402037.09651154486 1402084.46838661507 1402132.43795014327 140

2181.00749384402 1402230.17931141532 1402279.95569831084 1402330.33895152382 1402381.33136938204 1402432.93525135328 1402485.15289786069 1402537.98661010749 140 Calculo del tirante normal :2591.43868991052 1402645.51143954218 140 138.0110322700.20716158027 140 1.92755.52815876539 1402811.47673386541 1402868.05518954672 140 Entonces : hn

0 500 1000 1500 2000 2500 3000 35000

2

4

6

8

10

12

Tirante normal

Tirante normal

𝐴^(5/3)/ ^(2/3)𝑃

h(pies)

Calculo del tirante normal :

140 150.7879971.9156 2

1.9200

Formulas usadas :

* *

* *

i h A T P R K

1 3.65 210.87875 70.55 71.591649 2.94557749 2.05485084 12380.69652 3.63252525 209.646975 70.4276768 71.4643388 2.93358868 2.04927141 12274.95863 3.61505051 208.417338 70.3053535 71.3370285 2.92158704 2.04367839 12169.65754 3.59757576 207.189839 70.1830303 71.2097183 2.90957251 2.03807169 12064.79275 3.58010101 205.964477 70.0607071 71.0824081 2.89754501 2.0324512 11960.36436 3.56262627 204.741253 69.9383839 70.9550978 2.88550448 2.02681683 11856.37197 3.54515152 203.520166 69.8160606 70.8277876 2.87345084 2.02116847 11752.81558 3.52767677 202.301217 69.6937374 70.7004774 2.86138403 2.01550602 11649.69489 3.51020202 201.084405 69.5714142 70.5731672 2.84930396 2.00982937 11547.0098

10 3.49272728 199.869731 69.4490909 70.4458569 2.83721058 2.00413842 11444.760211 3.47525253 198.657194 69.3267677 70.3185467 2.82510381 1.99843307 11342.945912 3.45777778 197.446795 69.2044445 70.1912365 2.81298358 1.9927132 11241.566713 3.44030304 196.238534 69.0821213 70.0639262 2.8008498 1.98697871 11140.622514 3.42282829 195.03241 68.959798 69.936616 2.78870242 1.98122948 11040.113215 3.40535354 193.828424 68.8374748 69.8093058 2.77654135 1.97546541 10940.038516 3.3878788 192.626575 68.7151516 69.6819955 2.76436652 1.96968638 10840.398417 3.37040405 191.426864 68.5928283 69.5546853 2.75217785 1.96389228 10741.192618 3.3529293 190.229291 68.4705051 69.4273751 2.73997527 1.95808299 10642.4211

19 3.33545455 189.033855 68.3481819 69.3000649 2.7277587 1.9522584 10544.083720 3.31797981 187.840556 68.2258586 69.1727546 2.71552806 1.94641838 10446.180321 3.30050506 186.649395 68.1035354 69.0454444 2.70328328 1.94056282 10348.710822 3.28303031 185.460372 67.9812122 68.9181342 2.69102428 1.93469159 10251.674923 3.26555557 184.273487 67.858889 68.7908239 2.67875097 1.92880458 10155.072724 3.24808082 183.088738 67.7365657 68.6635137 2.66646329 1.92290165 10058.903925 3.23060607 181.906128 67.6142425 68.5362035 2.65416114 1.91698269 9963.1685126 3.21313133 180.725655 67.4919193 68.4088933 2.64184445 1.91104756 9867.8663327 3.19565658 179.547319 67.369596 68.281583 2.62951313 1.90509614 9772.9972728 3.17818183 178.371122 67.2472728 68.1542728 2.61716712 1.89912829 9678.5612329 3.16070708 177.197061 67.1249496 68.0269626 2.60480631 1.89314389 9584.5580930 3.14323234 176.025139 67.0026264 67.8996523 2.59243063 1.88714279 9490.9877631 3.12575759 174.855353 66.8803031 67.7723421 2.58004 1.88112487 9397.85012

𝑅^(2/3)

𝐾=(1.489 𝐴𝑅^(2/3)" " )/𝑛𝐾𝑛=𝑄" " /√(𝑆_0 )

𝑑𝑥/𝑑ℎ=[1−(𝑍_𝑐/𝑧)^2 ]" " /(𝑆_0 [1−(𝐾_𝑛/𝑘)^2 ] )Zc=𝑄" " /√(𝐺/∝)

32 3.10828284 173.687706 66.7579799 67.6450319 2.56763432 1.87508999 9305.1450933 3.0908081 172.522196 66.6356567 67.5177216 2.55521353 1.869038 9212.8725834 3.07333335 171.358823 66.5133334 67.3904114 2.54277752 1.86296877 9121.0324835 3.0558586 170.197588 66.3910102 67.2631012 2.53032622 1.85688216 9029.6247336 3.03838386 169.038491 66.268687 67.135791 2.51785953 1.85077801 8938.6492237 3.02090911 167.881531 66.1463638 67.0084807 2.50537737 1.84465619 8848.1058938 3.00343436 166.726709 66.0240405 66.8811705 2.49287965 1.83851654 8757.9946539 2.98595961 165.574024 65.9017173 66.7538603 2.48036629 1.83235892 8668.3154440 2.96848487 164.423477 65.7793941 66.62655 2.46783718 1.82618317 8579.068241 2.95101012 163.275068 65.6570708 66.4992398 2.45529225 1.81998913 8490.2528442 2.93353537 162.128796 65.5347476 66.3719296 2.44273139 1.81377666 8401.8693243 2.91606063 160.984662 65.4124244 66.2446193 2.43015453 1.80754559 8313.9175944 2.89858588 159.842665 65.2901012 66.1173091 2.41756156 1.80129576 8226.3975845 2.88111113 158.702806 65.1677779 65.9899989 2.40495239 1.79502702 8139.3092446 2.86363639 157.565084 65.0454547 65.8626887 2.39232693 1.78873918 8052.6525547 2.84616164 156.4295 64.9231315 65.7353784 2.37968509 1.78243209 7966.4274648 2.82868689 155.296053 64.8008082 65.6080682 2.36702677 1.77610558 7880.6339249 2.81121214 154.164744 64.678485 65.480758 2.35435186 1.76975948 7795.2719350 2.7937374 153.035573 64.5561618 65.3534477 2.34166029 1.7633936 7710.3414451 2.77626265 151.908539 64.4338386 65.2261375 2.32895194 1.75700778 7625.8424352 2.7587879 150.783643 64.3115153 65.0988273 2.31622672 1.75060183 7541.774953 2.74131316 149.660884 64.1891921 64.971517 2.30348453 1.74417557 7458.1388254 2.72383841 148.540263 64.0668689 64.8442068 2.29072527 1.73772882 7374.934255 2.70636366 147.42178 63.9445456 64.7168966 2.27794884 1.73126139 7292.1610256 2.68888892 146.305434 63.8222224 64.5895864 2.26515514 1.72477309 7209.819357 2.67141417 145.191225 63.6998992 64.4622761 2.25234407 1.71826373 7127.9090458 2.65393942 144.079155 63.5775759 64.3349659 2.23951552 1.71173311 7046.4302659 2.63646467 142.969221 63.4552527 64.2076557 2.22666939 1.70518103 6965.3829660 2.61898993 141.861426 63.3329295 64.0803454 2.21380557 1.69860729 6884.7671961 2.60151518 140.755767 63.2106063 63.9530352 2.20092396 1.69201169 6804.5829662 2.58404043 139.652247 63.088283 63.825725 2.18802445 1.68539401 6724.8303163 2.56656569 138.550864 62.9659598 63.6984148 2.17510694 1.67875406 6645.5092964 2.54909094 137.451618 62.8436366 63.5711045 2.16217131 1.67209161 6566.6199365 2.53161619 136.354511 62.7213133 63.4437943 2.14921746 1.66540644 6488.1622966 2.51414145 135.25954 62.5989901 63.3164841 2.13624528 1.65869834 6410.1364467 2.4966667 134.166708 62.4766669 63.1891738 2.12325466 1.65196709 6332.5424268 2.47919195 133.076012 62.3543437 63.0618636 2.11024548 1.64521244 6255.3803269 2.4617172 131.987455 62.2320204 62.9345534 2.09721763 1.63843418 6178.6502170 2.44424246 130.901035 62.1096972 62.8072431 2.084171 1.63163207 6102.3521771 2.42676771 129.816752 61.987374 62.6799329 2.07110548 1.62480586 6026.486372 2.40929296 128.734607 61.8650507 62.5526227 2.05802094 1.61795533 5951.0526873 2.39181822 127.6546 61.7427275 62.4253125 2.04491728 1.61108021 5876.0514274 2.37434347 126.57673 61.6204043 62.2980022 2.03179437 1.60418026 5801.4826475 2.35686872 125.500998 61.4980811 62.170692 2.0186521 1.59725523 5727.3464576 2.33939397 124.427403 61.3757578 62.0433818 2.00549035 1.59030485 5653.6429677 2.32191923 123.355946 61.2534346 61.9160715 1.992309 1.58332887 5580.3723278 2.30444448 122.286627 61.1311114 61.7887613 1.97910792 1.57632701 5507.5346779 2.28696973 121.219445 61.0087881 61.6614511 1.965887 1.56929901 5435.13014

80 2.26949499 120.154401 60.8864649 61.5341408 1.95264611 1.56224458 5363.1588981 2.25202024 119.091494 60.7641417 61.4068306 1.93938512 1.55516345 5291.6210982 2.23454549 118.030725 60.6418185 61.2795204 1.92610392 1.54805532 5220.516983 2.21707075 116.972093 60.5194952 61.1522102 1.91280238 1.54091992 5149.8465184 2.199596 115.915599 60.397172 61.0248999 1.89948036 1.53375693 5079.6100985 2.18212125 114.861242 60.2748488 60.8975897 1.88613774 1.52656606 5009.8078586 2.1646465 113.809023 60.1525255 60.7702795 1.8727744 1.51934701 4940.4399987 2.14717176 112.758942 60.0302023 60.6429692 1.85939019 1.51209945 4871.5067188 2.12969701 111.710998 59.9078791 60.515659 1.84598499 1.50482308 4803.0082489 2.11222226 110.665192 59.7855558 60.3883488 1.83255867 1.49751756 4734.9448290 2.09474752 109.621523 59.6632326 60.2610385 1.81911109 1.49018257 4667.3166891 2.07727277 108.579992 59.5409094 60.1337283 1.80564211 1.48281777 4600.1240792 2.05979802 107.540599 59.4185862 60.0064181 1.79215161 1.47542282 4533.3672593 2.04232328 106.503343 59.2962629 59.8791079 1.77863944 1.46799737 4467.0464994 2.02484853 105.468224 59.1739397 59.7517976 1.76510546 1.46054107 4401.1620895 2.00737378 104.435243 59.0516165 59.6244874 1.75154954 1.45305354 4335.7142996 1.98989903 103.4044 58.9292932 59.4971772 1.73797153 1.44553443 4270.70344

97 1.97242429 102.375694 58.80697 59.3698669 1.7243713 1.43798335 4206.1298298 1.95494954 101.349126 58.6846468 59.2425567 1.71074869 1.43039992 4141.99378

99 1.93747479 100.324696 58.5623236 59.1152465 1.69710357 1.42278375 4078.29564100 1.92 99.3024 58.44 58.9879359 1.68343575 1.41513443 4015.03557

Kn Z

4000 0.3230836 0.10438301 3062.31053 8.39940474 364.586613679 67.72854614794000 0.32586668 0.10618909 3035.51862 8.39211992 361.71058708 67.72854614794000 0.32868633 0.1080347 3008.8516 8.38482877 358.84472762 67.72854614794000 0.3315432 0.10992089 2982.30927 8.37753128 355.989034761 67.72854614794000 0.33443797 0.11184876 2955.89147 8.37022742 353.143508035 67.72854614794000 0.33737133 0.11381942 2929.59802 8.36291719 350.308147037 67.72854614794000 0.34034398 0.11583402 2903.42874 8.35560055 347.482951433 67.72854614794000 0.34335663 0.11789378 2877.38345 8.34827751 344.667920954 67.72854614794000 0.34641003 0.11999991 2851.46198 8.34094804 341.863055405 67.72854614794000 0.34950492 0.12215369 2825.66415 8.33361212 339.068354659 67.72854614794000 0.35264208 0.12435643 2799.98978 8.32626974 336.283818663 67.72854614794000 0.35582229 0.1266095 2774.4387 8.31892087 333.509447436 67.72854614794000 0.35904636 0.12891429 2749.01074 8.31156551 330.74524107 67.72854614794000 0.36231513 0.13127225 2723.70571 8.30420364 327.991199736 67.72854614794000 0.36562943 0.13368488 2698.52345 8.29683523 325.247323678 67.72854614794000 0.36899013 0.13615372 2673.46378 8.28946027 322.513613219 67.72854614794000 0.37239813 0.13868036 2648.52653 8.28207874 319.790068763 67.72854614794000 0.37585432 0.14126647 2623.71152 8.27469064 317.076690791 67.7285461479

4000 0.37935966 0.14391375 2599.01859 8.26729592 314.373479868 67.72854614794000 0.38291508 0.14662396 2574.44755 8.25989459 311.68043664 67.72854614794000 0.38652158 0.14939893 2549.99824 8.25248662 308.997561838 67.72854614794000 0.39018014 0.15224054 2525.67049 8.24507199 306.324856278 67.72854614794000 0.39389181 0.15515076 2501.46413 8.23765069 303.662320863 67.72854614794000 0.39765764 0.1581316 2477.37898 8.2302227 301.009956586 67.72854614794000 0.40147871 0.16118515 2453.41487 8.222788 298.367764525 67.72854614794000 0.40535612 0.16431358 2429.57165 8.21534657 295.735745855 67.72854614794000 0.40929102 0.16751914 2405.84912 8.20789839 293.113901838 67.72854614794000 0.41328457 0.17080413 2382.24714 8.20044345 290.502233835 67.72854614794000 0.41733797 0.17417098 2358.76553 8.19298173 287.900743298 67.72854614794000 0.42145245 0.17762216 2335.40412 8.1855132 285.309431779 67.72854614794000 0.42562926 0.18116027 2312.16275 8.17803785 282.728300928 67.7285461479

〖 (𝐾𝑛/𝐾") " 〗^2𝐾𝑛/𝐾 𝐴^(3/2) 𝑇^(1/2) 𝑑𝑥/𝑑ℎZc=𝑄" " /√𝑔

4000 0.42986971 0.18478797 2289.04124 8.17055567 280.157352496 67.72854614794000 0.43417511 0.18850803 2266.03944 8.16306662 277.596588335 67.72854614794000 0.43854684 0.19232333 2243.15718 8.1555707 275.046010402 67.72854614794000 0.44298629 0.19623686 2220.3943 8.14806788 272.505620757 67.72854614794000 0.44749491 0.20025169 2197.75062 8.14055815 269.975421572 67.72854614794000 0.45207416 0.20437104 2175.22599 8.13304148 267.455415122 67.72854614794000 0.45672556 0.20859824 2152.82024 8.12551786 264.945603799 67.72854614794000 0.46145067 0.21293672 2130.53321 8.11798727 262.445990103 67.72854614794000 0.4662511 0.21739009 2108.36473 8.11044968 259.956576652 67.72854614794000 0.47112849 0.22196205 2086.31466 8.10290509 257.477366178 67.72854614794000 0.47608453 0.22665648 2064.38282 8.09535346 255.008361535 67.72854614794000 0.48112096 0.23147738 2042.56906 8.08779478 252.549565695 67.72854614794000 0.48623957 0.23642892 2020.87321 8.08022903 250.100981755 67.72854614794000 0.49144219 0.24151543 1999.29512 8.07265619 247.662612935 67.72854614794000 0.49673073 0.24674142 1977.83464 8.06507624 245.234462584 67.72854614794000 0.50210713 0.25211157 1956.49159 8.05748915 242.81653418 67.72854614794000 0.50757338 0.25763074 1935.26583 8.04989492 240.408831333 67.72854614794000 0.51313155 0.26330399 1914.1572 8.04229352 238.011357786 67.72854614794000 0.51878377 0.2691366 1893.16554 8.03468492 235.624117421 67.72854614794000 0.52453221 0.27513404 1872.29071 8.02706911 233.247114257 67.72854614794000 0.53037913 0.28130202 1851.53254 8.01944607 230.880352455 67.72854614794000 0.53632684 0.28764648 1830.89088 8.01181578 228.52383632 67.72854614794000 0.54237772 0.29417359 1810.36558 8.00417821 226.177570306 67.72854614794000 0.54853424 0.30088981 1789.95649 7.99653335 223.841559013 67.72854614794000 0.55479893 0.30780185 1769.66346 7.98888117 221.515807195 67.72854614794000 0.56117439 0.31491669 1749.48634 7.98122166 219.200319762 67.72854614794000 0.56766332 0.32224165 1729.42498 7.97355479 216.895101781 67.72854614794000 0.5742685 0.32978431 1709.47923 7.96588054 214.600158478 67.72854614794000 0.58099278 0.33755261 1689.64894 7.95819888 212.315495247 67.72854614794000 0.58783911 0.34555482 1669.93397 7.95050981 210.041117646 67.72854614794000 0.59481055 0.35379959 1650.33417 7.94281329 207.777031405 67.72854614794000 0.60191023 0.36229592 1630.84939 7.93510931 205.523242425 67.72854614794000 0.60914139 0.37105323 1611.47951 7.92739784 203.279756787 67.72854614794000 0.61650739 0.38008136 1592.22436 7.91967887 201.046580751 67.72854614794000 0.62401168 0.38939058 1573.08381 7.91195236 198.823720759 67.72854614794000 0.63165783 0.39899161 1554.05771 7.9042183 196.611183444 67.72854614794000 0.63944953 0.4088957 1535.14594 7.89647666 194.408975627 67.72854614794000 0.64739059 0.41911457 1516.34834 7.88872743 192.217104326 67.72854614794000 0.65548495 0.42966052 1497.66479 7.88097057 190.035576756 67.72854614794000 0.66373668 0.44054638 1479.09514 7.87320608 187.864400335 67.72854614794000 0.67214999 0.45178561 1460.63926 7.86543392 185.703582689 67.72854614794000 0.68072924 0.46339229 1442.29701 7.85765407 183.553131655 67.72854614794000 0.68947892 0.47538118 1424.06827 7.84986651 181.413055284 67.72854614794000 0.69840371 0.48776774 1405.95289 7.84207122 179.283361847 67.72854614794000 0.70750842 0.50056816 1387.95076 7.83426817 177.16405984 67.72854614794000 0.71679805 0.51379944 1370.06173 7.82645735 175.055157988 67.72854614794000 0.72627777 0.5274794 1352.28568 7.81863872 172.956665249 67.72854614794000 0.73595294 0.54162673 1334.62248 7.81081226 170.868590819 67.7285461479

4000 0.74582911 0.55626105 1317.07202 7.80297795 168.790944141 67.72854614794000 0.75591202 0.57140299 1299.63415 7.79513577 166.723734902 67.72854614794000 0.76620765 0.58707417 1282.30876 7.78728569 164.666973047 67.72854614794000 0.77672218 0.60329734 1265.09573 7.77942769 162.620668779 67.72854614794000 0.78746202 0.62009643 1247.99494 7.77156175 160.584832567 67.72854614794000 0.79843382 0.63749656 1231.00627 7.76368783 158.559475151 67.72854614794000 0.80964449 0.6555242 1214.12959 7.75580592 156.544607548 67.72854614794000 0.8211012 0.67420718 1197.36481 7.747916 154.540241058 67.72854614794000 0.8328114 0.69357482 1180.71179 7.74001803 152.546387271 67.72854614794000 0.84478281 0.713658 1164.17043 7.73211199 150.563058072 67.72854614794000 0.85702348 0.73448925 1147.74061 7.72419786 148.590265651 67.72854614794000 0.86954176 0.75610288 1131.42223 7.71627562 146.628022506 67.72854614794000 0.88234634 0.77853506 1115.21519 7.70834523 144.676341452 67.72854614794000 0.89544624 0.80182397 1099.11936 7.70040667 142.735235627 67.72854614794000 0.90885087 0.82600991 1083.13465 7.69245993 140.804718504 67.72854614794000 0.92257002 0.85113543 1067.26096 7.68450496 138.884803892 67.72854614794000 0.93661385 0.87724551 1051.49819 7.67654175 136.97550595 67.7285461479

4000 0.950993 0.90438768 1035.84623 7.66857027 135.07683919 67.72854614794000 0.9657185 0.93261221 1020.305 7.6605905 133.188818491 67.7285461479

4000 0.98080187 0.96197231 1004.87439 7.6526024 131.311459104 67.72854614794000 0.99625518 0.99252439 989.55427 7.64460594 129.444771656 67.7285461479

Longitud Logitud Acumulada

431.206752 0431.831499 7.54068755 7.5406875461565432.472883 7.5517502 15.092437747715433.131476 7.56310859 22.6555463350835433.807879 7.57477295 30.2303192883173434.502717 7.586754 37.8170732861982435.216643 7.59906289 45.4161361795592435.95034 7.61171131 53.0278474904309436.70452 7.62471145 60.6525589387029

437.479931 7.63807606 68.2906349981259438.277353 7.65181849 75.9424534836225439.097603 7.66595269 83.6084061720279439.941537 7.68049329 91.2888994585557440.810052 7.69545559 98.9843550514643441.704088 7.71085566 106.695210707605442.62463 7.7267103 114.421921011753

443.572714 7.74303719 122.164958202864444.549426 7.75985485 129.924813050675

445.555906 7.77718274 137.701995786333446.593354 7.7950413 145.497037091101447.663032 7.81345206 153.3104891475448.766268 7.83243761 161.142926757656449.904457 7.85202178 168.994948534056451.079074 7.87222963 176.867178168379452.291671 7.89308762 184.760265784593453.543886 7.9146236 192.674889383094454.837448 7.936867 200.61175638332456.174184 7.95984889 208.571605272945457.556024 7.9836021 216.555207372603458.985012 8.00816135 224.563368725949460.46331 8.0335634 232.596932125842

𝑑𝑥/𝑑ℎ

0 5000 10000 15000 20000 25000 30000 35000 40000 450000

0.5

1

1.5

2

2.5

3

3.5

4

Curva de flujo variado

Column B

dx/dh

h(pi

es)

461.993211 8.05984716 240.656779288552463.577145 8.0870539 248.743833189121465.217691 8.11522738 256.859060572374466.917588 8.14441408 265.003474655629468.67975 8.17466339 273.178138040895

470.507274 8.20602782 281.384165856283472.403463 8.23856329 289.62272914859474.371835 8.2723294 297.89505855147476.416145 8.3073897 306.202448256444478.540405 8.34381206 314.546260317193480.748905 8.381669 322.927929321208483.046238 8.42103815 331.348967466988485.437325 8.46200262 339.810970089724487.92745 8.50465159 348.315621683768

490.522286 8.54908079 356.864702476391493.227938 8.59539314 365.460095614431496.050982 8.64369942 374.103795033601498.998509 8.69411906 382.797914089699502.078182 8.74678095 391.544695041875505.298286 8.80182445 400.346519490833508.667799 8.8594004 409.2059198896512.196465 8.91967237 418.1255922618515.894874 8.98281802 427.108410282561519.774555 9.04903062 436.157440900955523.848087 9.11852081 445.275961710902528.129215 9.1915186 454.467480310601532.632994 9.26827562 463.735755929917537.375942 9.34906772 473.084823652063542.376224 9.43419796 482.519021612063547.653865 9.52400001 492.043021621904553.230987 9.61884213 501.661863753732559.132099 9.71913176 511.380995511074565.384419 9.82532083 521.206316338307572.01826 9.93791203 531.144228365743

579.067487 10.0574661 541.201694468749586.570044 10.1846105 551.386304943501594.568594 10.3200494 561.706354380882603.111268 10.4645763 572.170930669497612.252574 10.6190878 582.790018499357622.054486 10.7846018 593.5746202971632.587764 10.9622779 604.536898239073643.93357 11.1534437 615.690341910907656.18545 11.3596255 627.04996738115

669.451785 11.5825876 638.632555029379683.858855 11.8243805 650.456935552041699.554685 12.0874008 662.544336356833716.713942 12.374468 674.918804327804735.544198 12.6889218 687.607726108816

0 200 400 600 800 1000 1200 1400 1600 18000

0.5

1

1.5

2

2.5

3

3.5

4

Curva de remanso

Longitud(pies)

h(pies)

756.294066 13.0347481 700.642474219406779.263866 13.4167432 714.059217402175804.819796 13.8407306 727.899948014342833.413045 14.3138522 742.213800228075865.605957 14.8449636 757.058763835212902.108509 15.4451815 772.503945371148943.830147 16.1286555 788.632600868164991.955126 16.9136789 805.5462798099851048.05478 17.8243285 823.3706082779231114.25972 18.8929494 842.2635576889511193.53299 20.1640469 862.4276045622721290.12052 21.7006083 884.1282128701191410.32974 23.5948425 907.7230554046081563.95355 25.9874241 933.7104794752771767.06367 29.1043416 962.8148211115472048.0034 33.333666 996.148487077906

2461.86327 39.4043896 1035.55287664319

3131.77403 48.8736983 1084.42657497104 Cálculo de la longitud:4400.86997 65.8155241 1150.24209909157

7720.32594 105.907416 1256.14951508005 Longitud38859.0203 406.982241 1663.13175562266

0 5000 10000 15000 20000 25000 30000 35000 40000 450000

0.5

1

1.5

2

2.5

3

3.5

4

Curva de flujo variado

Column B

dx/dh

h(pi

es)

0 200 400 600 800 1000 1200 1400 1600 18000

0.5

1

1.5

2

2.5

3

3.5

4

Curva de remanso

Longitud(pies)

h(pies)

Cálculo de la longitud:

1663.1 pies

0 5000 10000 15000 20000 25000 30000 35000 40000 450000

0.5

1

1.5

2

2.5

3

3.5

4

Curva de flujo variado

Column B

dx/dh

h(pi

es)

0 200 400 600 800 1000 1200 1400 1600 18000

0.5

1

1.5

2

2.5

3

3.5

4

Curva de remanso

Longitud(pies)

h(pies)