5.curvas de remanso

8/18/2019 5.Curvas de Remanso

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CAUDAL : 2.00 PENDIENTETALUD: 1 T. NORMALRUGOSIDAD: 0.015 TIPO DE FLUJOBASE : 0.5 mT. CRITICO: 0.743 m

F

Tirante inicial = 0.63 mTirante final = 0.67 m

P

RETirante c"n#$%a&" men"r=Tirante c"n#$%a&" ma'"r=

Tirante inicial = 0.() mTirante final = 0.(6 m

P

m 3*+

1

2

F. SUPERCRITICO

F. SUPERCRITICO

yn1

yn3

yn2

ANALISIS DE CURVAS

0

A

B

y

y

PERFIL LONGITUDINAL DEL



1

F. SUPERCRITICO

F. SUPERCRITICO

yn1

yn3

yn20

A

y

y

PERFIL DE LA CURVA DE REM

S3

S



0.00(3 0.006, 0.00,30.63 0.6( 0.(6

F.SU-ER!RITI!O F.SU-ER!RITI!O F.SU !RITI!O

RAMO 0-1:LUJO UNIFORME

RAMO 1-A:!"m" 'n,=0.6(m/ 'c=0.7 m TI-O 1S1!"m" '/'n,=0.6(m 2 '/'c=0.7 m ONA 3

ERFIL "S3"

RAMO A-B: ALTO HI RAULI!O

0.6( m0.() m

RAMO B-2:!"m" 'n,=0.6(m/ 'c=0.7 m TI-O 1S1!"m" '4'n,=0.6(m 2 '4'c=0.7 m ONA )

ERFIL "S1"

F. SUBCRITICO

DE REMANSO

3

ANAL



RAMO 2-3.LUJO UNIFORME

NSO



TRAMDATOS DEL TRAMO I:

Q = 2n = 0.015

So = 0.0062b = 0.5

z = 1C ASIFICACIO!

TIPO DE CURVA : ZONA :S 3

N° Y Z Y!Y" S#1 F$Z%1 2 3 4 50 0.63 0.9265 101.6129 0.72570

1 0.634 0.9324 102.2581 0.755552 0.638 0.9382 102.9032 0.78792

3 0.642 0.9441 103.5484 0.82332

4 0.646 0.9500 104.1935 0.86243

5 0.65 0.9559 104.8387 0.90618

6 0.654 0.9618 105.4839 0.95589

7 0.658 0.9676 106.1290 1.01358

8 0.662 0.9735 106.7742 1.08247

9 0.666 0.9794 107.4194 1.16824

10 0.67 0.9853 108.0645 1.28238

0.66

0.67

0.6"

CURVA DE REM

METODO DE INTEGRACI(SOLUCION BRES



TRAMO B

DATOS DEL TRAMO II:

Q = 2n = 0.015So = 0.0062b = 0.5z = 1

CLASIFICACIONTIPO DE CURVA : ZONA :

S 1

!$ % &=%'%n S(1 F)&*1 2 3 4 50 0.81 1.1912 130.6452 0.49223

1 0.815 1.1985 131.4516 0.48181

2 0.82 1.2059 132.2581 0.47184

3 0.825 1.2132 133.0645 0.46229

4 0.83 1.2206 133.8710 0.45312

5 0.835 1.2279 134.6774 0.44431

6 0.84 1.2353 135.4839 0.43584

7 0.845 1.2426 136.2903 0.427698 0.85 1.2500 137.0968 0.41983

9 0.855 1.2574 137.9032 0.41225

10 0.86 1.2647 138.7097 0.40494

0 10 20 30 40 500.61

0.62

0.63

0.64

0.65

L

Y

CURVA DE REMA



0 5 10 15 20 25 30.7"0.7#

0."0."10."20."30."40."50."60."7

L

L



1 -ADATOS ADICIONALES:

C= 62.047#7"0.63

%2= 0.67 %n= 0.6"

%+= 0.74,= #."1

N &'()*+ 100.00,

S#2 /&( # # L6 7 " #

-114.073 215.685 0 0

-118.765 221.023 -5.337 5.3373-123.853 226.757 -11.071 11.0710

-129.418 232.966 -17.281 17.2809

-135.565 239.759 -24.073 24.0733

-142.441 247.280 -31.595 31.5947

-150.256 255.740 -40.055 40.0547

-159.325 265.454 -49.769 49.7685

-170.154 276.928 -61.242 61.2425

-183.635 291.054 -75.369 75.3688

-201.577 309.641 -93.956 93.9558

%1=

NSO

N DIRECTAE)



2

DATOS ADICIONALES:

C= 64.6#2""020."1 %2= 0."6 %n= 0.6" %+= 0.74

,= #."1

N &'()*+ : 100.005

S(2 / ( (=6 7 " #

-88.812 219.457 0 0

-86.932 218.383 1.073 1.0733

-85.133 217.391 2.066 3.1392

-83.409 216.473 2.983 6.1226

-81.755 215.626 3.831 9.9537

-80.166 214.843 4.614 14.5675

-78.637 214.121 5.335 19.9030

-77.166 213.457 6.000 25.9031-75.749 212.845 6.611 32.5145

-74.381 212.285 7.172 39.6866

-73.062 211.771 7.685 47.3721

%1=

60 70 "0 #0 100

SO



0 35 40 45 50



TR 2 Y" 0.630

" 0.015 Y" 0.67

S* 0.0063 Y" 0.680

0.5 Y4 0.740

Z 1

N &'()*+ 10

5 -0.004

Y A T R R62!3 V V62!271 2 3 , 8 9

0 0.630 0.712 2.282 0.312 0.460 2.809 0.402

1 0.634 0.719 2.293 0.314 0.461 2.782 0.394

2 0.638 0.726 2.305 0.315 0.463 2.755 0.387

3 0.642 0.733 2.316 0.317 0.465 2.728 0.3794 0.646 0.740 2.327 0.318 0.466 2.702 0.372

5 0.650 0.748 2.338 0.320 0.468 2.676 0.365

6 0.654 0.755 2.350 0.321 0.469 2.650 0.358

7 0.658 0.762 2.361 0.323 0.470 2.625 0.351

8 0.662 0.769 2.372 0.324 0.472 2.600 0.345

9 0.666 0.777 2.384 0.326 0.473 2.575 0.338

10 0.670 0.784 2.395 0.327 0.475 2.551 0.332

0.650.660.670.6"

C;'<(

METODOS NUMDIRECTO POR2/



TR

2

" 0.015 Y" 0.810

S* 0.0063 Y" 0.860

0.5 Y" 0.680

Z 1 Y4 0.740

N &'()*+ 10

5 -0.005

Y A T R R62!3 V V62!271 2 3 , 8 9

0 0.810 1.061 2.791 0.380 0.525 1.885 0.181

1 0.815 1.072 2.805 0.382 0.527 1.866 0.177

2 0.820 1.082 2.819 0.384 0.528 1.848 0.174

3 0.825 1.093 2.833 0.386 0.530 1.830 0.171

4 0.830 1.104 2.848 0.388 0.532 1.812 0.167

5 0.835 1.115 2.862 0.390 0.533 1.794 0.164

6 0.840 1.126 2.876 0.391 0.535 1.777 0.161

7 0.845 1.137 2.890 0.393 0.537 1.760 0.158

8 0.850 1.148 2.904 0.395 0.538 1.743 0.1559 0.855 1.159 2.918 0.397 0.540 1.726 0.152

10 0.860 1.170 2.932 0.399 0.542 1.710 0.149

0 2 4 6 " 10 12 14 10.610.620.630.64

PERFI

0."7

C;'<(



0 20.7"0.7#0."0

0."10."20."30."40."50."6

PERFI



MO 1 -ACLASIFICACION


E >E SE ?E S*-?E >@ L10 11 12 13 1,

1.0323 0.0000 0.0084 0.0000

1.0284 -0.0039 0.0082 0.0083 -0.0020 1.9442 1.9442

1.0248 -0.0037 0.0080 0.0081 -0.0018 2.0701 4.0143

1.0213 -0.0035 0.0078 0.0079 -0.0016 2.2249 6.23911.0180 -0.0033 0.0076 0.0077 -0.0014 2.4198 8.6589

1.0149 -0.0031 0.0074 0.0075 -0.0012 2.6728 11.3317

1.0119 -0.0029 0.0072 0.0073 -0.0010 3.0144 14.3461

1.0091 -0.0028 0.0070 0.0071 -0.0008 3.5009 17.8470

1.0065 -0.0026 0.0068 0.0069 -0.0006 4.2492 22.0962

1.0041 -0.0025 0.0067 0.0067 -0.0004 5.5488 27.6450

1.0018 -0.0023 0.0065 0.0066 -0.0003 8.3633 36.0084

' )("=*

RICOSRAMOS 3)



MO B -2CLASIFICACION


E >E SE ?E S*-?E >@ L10 11 12 13 1,

0.9911 0.0000 0.0029 0.0000

0.9925 0.0014 0.0028 0.0029 0.0034 0.4155 0.4155

0.9940 0.0015 0.0028 0.0028 0.0035 0.4319 0.8474

0.9956 0.0016 0.0027 0.0027 0.0036 0.4472 1.2946

0.9973 0.0017 0.0026 0.0026 0.0037 0.4615 1.7561

0.9991 0.0018 0.0025 0.0026 0.0037 0.4748 2.2309

1.0009 0.0018 0.0025 0.0025 0.0038 0.4873 2.7181

1.0028 0.0019 0.0024 0.0024 0.0039 0.4990 3.2171

1.0048 0.0020 0.0024 0.0024 0.0039 0.5100 3.72721.0069 0.0021 0.0023 0.0023 0.0040 0.5204 4.2476

1.0090 0.0021 0.0022 0.0023 0.0040 0.5302 4.7778

1" 20 22 24 26 2" 30 32 34 36 3"

E A CUR A

' )("=*



4 6

E A CUR A



0



DATOS: DATOS CALCULADOS

2.000 0.630" 0.015 0.670

S* 0.006 Y" 0.6"0 0.500 Y4 0.740

Z 1.000

@ >@ S*>@ Y A

0.000 3.600 -0.023 0.630 0.7123.600 3.600 -0.023 0.635 0.721

7.200 3.600 -0.023 0.640 0.73010."00 3.600 -0.023 0.645 0.73#14.400 3.600 -0.023 0.650 0.74"1".000 3.600 -0.023 0.655 0.75721.600 3.600 -0.023 0.660 0.76625.200 3.600 -0.023 0.665 0.7752"."00 3.600 -0.023 0.670 0.7"432.400 3.600 -0.023 0.675 0.7#336.000 3.600 -0.023 0.6"0 0."02

Y 2 Y 1

0.000 5.000 10.0.6000.6100.6200.630

0.6400.6500.6600.6700.6"00.6#0

METODO2/



CLASIFICACION


P R R6$2!3% V V62!27 E S*>@ E

2.2"2 0.312 0.460 2."0# 0.402 1.032 1.0102.2#6 0.314 0.462 2.775 0.3#2 1.027 1.005

2.310 0.316 0.464 2.741 0.3"3 1.023 1.0002.324 0.31" 0.466 2.70" 0.374 1.01# 0.##62.33" 0.320 0.46" 2.676 0.365 1.015 0.##22.353 0.322 0.46# 2.644 0.356 1.011 0.#"#2.367 0.323 0.471 2.612 0.34" 1.00" 0.#"52.3"1 0.325 0.473 2.5"2 0.340 1.005 0.#"22.3#5 0.327 0.475 2.551 0.332 1.002 0.#7#2.40# 0.32# 0.477 2.522 0.324 0.### 0.#762.423 0.331 0.47# 2.4#3 0.317 0.##7 0.#74

000 15.000 20.000 25.000 30.000 35.000 40.000

CURVA DE REMANSO

E TRAMOS FIJOS



SE SE SE>@ E SE>@

0.005 0.000 0.000 0.0000.005 0.005 -0.01" 1.015

0.005 0.005 -0.017 1.0100.005 0.005 -0.017 1.0060.004 0.005 -0.016 1.0030.004 0.004 -0.016 0.###0.004 0.004 -0.015 0.##60.004 0.004 -0.015 0.##30.004 0.004 -0.014 0.##00.004 0.004 -0.014 0.#""0.004 0.004 -0.014 0.#"5

3



DATOS:" S* Z) )3!+

0.5 0.015 2 0.0063 1

D# y$0%) )2 0.63

FORMULAS:

MÉTODO RUNGE-KUTTA



TRAMO 1 -A7 # y 1

)!+2 ) ) y1#." 0.00 0.63 0.0021116#

2.00 0.63 0.001#"7""4.00 0.64 0.001"63146.00 0.64 0.00173"2#".00 0.64 0.00161421

10.00 0.65 0.0014#1"1

12.00 0.65 0.00137214.00 0.65 0.0012556"16.00 0.66 0.001143671".00 0.66 0.0010366#20.00 0.66 0.000#353722.00 0.66 0.000"401"24.00 0.66 0.0007514626.00 0.66 0.00066#3#2".00 0.67 0.0005#40330.00 0.67 0.00052531

32.00 0.67 0.0004630334.00 0.67 0.000406#236.00 0.67 0.000356653".00 0.67 0.000311"340.00 0.67 0.0002720542.00 0.67 0.000236"#44.00 0.67 0.000205#146.00 0.67 0.00017"714".00 0.67 0.000154"#

0.67

0.6"

CU

ARA CURVAS DE REMANSO



0.00 10.00 20.000.60

0.61

0.62

0.63

0.64

0.65

0.66

TIRANTE



y1y2 y3 y, A$#% B$#% P$#%

0.00204#02 0.002050#1 0.001#"7"1 0.711# 1.76 2.2"1#0#0"#0.001#2456 0.001#2662 0.001"6306 0.71#13244 1.76"1##5" 2.2#35050430.0017##5# 0.001"017# 0.00173"21 0.725#567" 1.775#017" 2.3043#76010.001674#4 0.0016772# 0.00161412 0.73236543 1.7"310451 2.3145"3"060.00155152 0.001554 0.0014#171 0.73"35414 1.7"#"0#0# 2.3240655070.00143026 0.001432"3 0.001371# 0.743#2232 1.7#60204 2.332"4#62

0.00131205 0.00131471 0.00125557 0.74#07305 1."01746## 2.340#4"250.0011#776 0.00120047 0.00114355 0.753"132 1."0700105 2.34"37"6070.0010""17 0.0010#0# 0.00103657 0.75"15315 1."117#"17 2.355162760.000#"3#6 0.000#"667 0.000#3525 0.76210663 1."161570" 2.3613271#20.000""567 0.000"""34 0.000"4006 0.7656#02" 1."200##21 2.366#022070.0007#372 0.0007#632 0.00075134 0.76"#2317 1."2364"1" 2.371#2120#0.00070"37 0.000710"6 0.00066#2" 0.771"2627 1."26"2#24 2.37641##120.00062#72 0.0006320# 0.0005#3#2 0.774421"# 1."2#66"7 2.3"04355070.00055776 0.00055### 0.0005252 0.7767330# 1."321#332 2.3"4005"550.0004#236 0.0004#444 0.000462#3 0.77"7"31" 1."3442#"1 2.3"716"737

0.0004332# 0.00043521 0.000406"3 0.7"05#525 1."3640437 2.3"##611"60.0003"022 0.0003"1#" 0.00035657 0.7"21#175 1."3"14226 2.3#241"#3#0.000332"1 0.00033441 0.00031175 0.7"35#416 1."3#66753 2.3#4575##0.0002#063 0.0002#20" 0.000271#" 0.7"4"227" 1."4100275 2.3#64642"10.0002532# 0.0002545" 0.000236"2 0.7"5"#65" 1."4216"#2 2.3#"1134"60.00022033 0.0002214# 0.000205"5 0.7"6"3304 1."431"533 2.3##550#060.0001#136 0.0001#23# 0.00017"65 0.7"764"16 1."4406#5" 2.400"014340.000165#5 0.000166"7 0.000154"4 0.7""35646 1."44"3762 2.401""75#"0.00014374 0.00014455 0.00013405 0.7""#7102 1."4550374 2.402"2#642

VA DE REMANSO



30.00 40.00 50.00 60.00

CUR A E REMA

ONGITUD



y2R $#% A$# 1!2% B$# 1!2% P$# 1!2% R $# 1!2% A$# 1!2%

0.311#7562 0.71562104 1.7642233# 2.2"7""1"6 0.3127"75" 0.715510470.31355171 0.72265135 1.77217533 2.2##12761 0.31431546 0.72253#150.31503104 0.72#26# 1.77#62"05 2.30#66735 0.31574634 0.72#155#10.31641344 0.73546" 1.7"65"10# 2.31#50042 0.3170"035 0.735354"30.3176##37 0.741245"7 1.7#30375 2.32"63117 0.31"31"2" 0.7411334"0.31"""##6 0.746603"6 1.7##00401 2.33706#0# 0.31#46161 0.7464#313

0.31##"702 0.751546#4 1."044#1 2.344"2""6 0.3205124# 0.75143"760.320##304 0.7560"37# 1."0#51241 2.351#3021 0.32147374 0.755#7"#"0.321#1115 0.76022655 1."140"55 2.35"3#753 0.32234"77 0.760125""0.32274504 0.763##05 1."1"23046 2.36425#3# 0.32314157 0.763"#4630.3234#"#1 0.7673#362 1."21#6##4 2.36#547"2 0.323"5656 0.7673030"0.32417737 0.77045607 1."2532"54 2.3742#75# 0.3244#"52 0.7703712"0.3247"531 0.7731##62 1."2"33216 2.37"54535 0.32507247 0.773120"40.325327"2 0.7756471 1."310074" 2.3"232""3 0.3255"356 0.775574460.325"1006 0.777"21"3 1."333"13# 2.3"56"604 0.326036#6 0.777755330.32623717 0.77#7471 1."354"043 2.3""65453 0.3264377# 0.77#6"663

0.3266142 0.7"14457" 1."3733043 2.3#1270"3 0.3267#1 0.7"13#1130.326#45#" 0.7"2#3#"# 1."3"#5611 2.3#356#"# 0.32710133 0.7"2"#07#0.32723712 0.7"425041 1."403"0"4 2.3#55"476 0.32737327 0.7"4206520.3274#1#6 0.7"53#6#7 1."4162642 2.3#73462" 0.327610#" 0.7"5357#30.32771451 0.7"63#7"2 1."4271303 2.3#"""2#7 0.327"1"34 0.7"6363240.327#0"46 0.7"726#72 1."4365#1 2.400220#2 0.327##""6 0.7"723#20.32"0771" 0.7""027#1 1."444"14 2.4013"3"3 0.32"15575 0.7""001070.32"22371 0.7""6"61" 1."451#503 2.4023#306 0.32"2#1# 0.7""662640.32"3507# 0.7"#256"# 1."45"1352 2.40326774 0.32"40#"# 0.7"#23631



SO



y3 y,B$# 1!2% P$# 1!2% R $# 1!2% A$# 1!2% B$# 1!2% P$# 1!2%

1.7640#"04 2.2"77045"66 0.3127634# 0.71#13603 1.76"20364 2.2#35107#1.77204"71 2.2#"#4"5326 0.3142#114 0.725#6057 1.775#0604 2.304403631.77#500#6 2.30#4"76041 0.315721#4 0.73236#3" 1.7"310"#5 2.3145#0071.7"64544 2.31#321255# 0.31705605 0.73"35"24 1.7"#"1366 2.324071#7

1.7#2#1214 2.32"453""1" 0.31"2#425 0.743#2652 1.7#602507 2.332"56241.7#"""0#1 2.336"#5002# 0.31#43"03 0.74#07733 1."0175174 2.340#54#6

1."043710# 2.34465#2"65 0.3204"#53 0.753"175 1."07005"1 2.34"3"5351."0#3#657 2.3517663"17 0.32145156 0.75"15744 1."11"02#1 2.35516#461."13#7451 2.35"2405701 0.32232754 0.762110"7 1."1616175 2.361333"

1."1"125 2.36411024"# 0.32312141 0.7656#443 1."2010376 2.366#0"651."21"7056 2.36#4072735 0.323"3757 0.76"#271" 1."236525" 2.371#27431."2523563 2.3741662003 0.3244"077 0.771"3011 1."26"3345 2.376425"61."2"245#" 2.37"423475" 0.32505601 0.77442553 1."2#6726" 2.3"0441131."30#2"14 2.3"221661#3 0.32556"4 0.77673651 1."321#705 2.3"4011131."3330""4 2.3"55"34434 0.32602311 0.77"7"637 1."344332" 2.3"7173651."3541453 2.3""561346 0.32642521 0.7"05#"1# 1."3640757 2.3"##6572

1."37270#4 2.3#11"67024 0.32677#64 0.7"21#444 1."3"1452 2.3#24230#1."3"#0271 2.3#34#436#4 0.3270#114 0.7"35#661 1."3#6702 2.3#457#761."4033314 2.3#551730"1 0.32736416 0.7"4"25 1."4100516 2.3#64676#1."415"402 2.3#72"631#" 0.327602"# 0.7"5"#"57 1."421710" 2.3#"116541."426754# 2.3#""2#""6" 0.327"1117 0.7"6"34"2 1."431"726 2.3##553641."43625## 2.4001741021 0.327##254 0.7"764#74 1."440713 2.400"03"61."444523 2.401342673" 0.32"1502 0.7""357"6 1."44"3#14 2.401""#74

1."4516#53 2.402356#"67 0.32"2"703 0.7""#7225 1."455050" 2.402"31541."457#123 2.4032362073 0.32"40564 0.7"#50462 1."460"1#3 2.40364732



R $# 1!2%0.3135525

0.315031"60.3164142#0.317700250.31""#0"50.31##"7#3

0.320##3#60.321#12060.322745#30.3234##7"0.32417"210.3247"6110.32532"5"0.325"10770.326237"40.326614"1

0.326#46540.327237630.3274#2420.327714#20.327#0""30.32"07750.32"224

0.32"351050.32"4610#



ATOS E ISE O E CA!ACAU A )Q* 2

PE! IE!TE )S* 0.0023 TA U )&* 1

BOR E IBRE ) * 0.4RU OSI A )n* 0.015

TIRA!TE !ORMA )%n* 0."6BASE 0.5

1%DISE O DE VERTEDERO RECTANGULAR

VERTEDERO RECTANGULAR

P 0.5 8 1

VERTEDEROS DE PARED DELGADA Y DESCAR

DISE



n 2 0.5

2.666666667 '9Q 0.757 3'9 ,

RESU TA O

CAU A 0.757 3'S

2%DISE O DE VERTEDERO TRIANGULAR

VERTEDERO TRIANGULAR

8 1 : 45Q 0.#7# 3'9 ,

RESU TA OCAU A 0.#7# 3'S

3'9 ,

3%DISE O DE VERTEDERO TRAPEZOIDAL$ CIPOVERTEDERO TRAPESOIDAL

8 1 0.5

Q 0.#30 3'9RESU TA OCAU A 0.#30 3'S



3'9'

ISTA ATERAA LIBRE

O DE VERTEDEROS



LETI%

ERTE ERO TRIA! U AR

ERTE EROE CIPO ETI



E ERTE ERO

5.curvas de remanso

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