TRABAJO HIDRÁULICA NO. 2 ESTRUCTURAS HIDRÁULICAS
PRESENTADO POR:
LILIANA MARCELA PINTO PINTO REYES – CÓDIGO 504250 CRISTHIAN CRISTHIA N DUVAN DUVAN PARDO PÉRE – CÓDIGO 50!"## NUBIA CONSTANA CONSTANA SUARE SUARE LEÓN – CÓDIGO 5040$# JUAN DAVID DAVID MORENO CASTRO – CÓDIGO 50!"$!
UNIVERSIDAD CATÓLICA DE COLOMBIA %ACULTAD DE INGENIER&A PROGRAMA DE INGENIER&A CIVIL HIDRÁULICA Y LABORATORIO ABRIL DE 20$5 BOGOTÁ D.C
1
TRABAJO HIDRÁULICA NO. 2 ESTRUCTURAS HIDRÁULICAS
PRESENTADO POR:
LILIANA MARCELA PINTO PINTO REYES – CÓDIGO 504250 CRISTHIAN DU'AN DU'AN PARDO PARDO PÉRE – CÓDIGO 50!"## NUBIA CONSTANA CONSTANA SUARE SUARE LEÓN – CÓDIGO 5040$# JUAN DAVID DAVID MORENO CASTRO – CÓDIGO 50!"$!
PRESENTADO A:
ING. %IDEL ALBERTO PARDO OJEDA
UNIVERSIDAD CATÓLICA DE COLOMBIA %ACULTAD DE INGENIER&A PROGRAMA DE INGENIER&A CIVIL HIDRÁULICA Y LABORATORIO ABRIL DE 20$5 BOGOTÁ D.C 2
TRABAJO HIDRÁULICA NO. 2 ESTRUCTURAS HIDRÁULICAS
PRESENTADO POR:
LILIANA MARCELA PINTO PINTO REYES – CÓDIGO 504250 CRISTHIAN DU'AN DU'AN PARDO PARDO PÉRE – CÓDIGO 50!"## NUBIA CONSTANA CONSTANA SUARE SUARE LEÓN – CÓDIGO 5040$# JUAN DAVID DAVID MORENO CASTRO – CÓDIGO 50!"$!
PRESENTADO A:
ING. %IDEL ALBERTO PARDO OJEDA
UNIVERSIDAD CATÓLICA DE COLOMBIA %ACULTAD DE INGENIER&A PROGRAMA DE INGENIER&A CIVIL HIDRÁULICA Y LABORATORIO ABRIL DE 20$5 BOGOTÁ D.C 2
Contenido INTRODUCCIÓN..................... INTRODUCCIÓN......................................... ........................................ ..................................... .......................... .........
INTRODUCCIÓN
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
3
CONTENIDO
$. INTR INTROD ODUC UCCI CIÓN ÓN 2. OBJE OBJETI TIV VOS. OS. !. MARC MARCO O TEÓR TEÓRIC ICO O !.$ CANALES !.2 MÉTODO PRE DIMENSIONAMIENTO JULIÁN AGUIRRE PÉ !.! MÉTODO DE COMPARACIÓN COMPARACIÓN DE VELOCIDADES !.4 MÉTODO DE VILLÓN 4. DESCRI DESCRIPCI PCIÓN ÓN DEL DEL PROYE PROYECTO CTO 5. ALINEA ALINEAMI MIENT ENTO O DEL DEL PROYEC PROYECTO TO 5.$DISEO DE CURVAS 5.2ELEMENTOS 5.2 ELEMENTOS DE CURVAS CURVAS VERTICALES #. MÉTODO MÉTODO JULIÁN JULIÁN AGUIR AGUIRRE RE PÉ PÉ #.$PROCEDIMIENTO JAP #.2MANUAL DEL PROGRAMA #.!RESULT #.! RESULTADOS ADOS JAP #.!.$ #.!.$ CANAL CANAL RECTA RECTANGU NGULAR LAR 0H:$V 0H:$V #.!. #.!.2 2 CANA CANAL L CIRC CIRCUL ULAR AR K K #.4MATRI DE SIMBOLOG&A . VELO VELOCI CIDA DADE DES S .$CANAL .$ CANAL RECTANGULAR RECTANGULAR 0H:$V .$. .$.$ $ VELO VELOCI CIDA DAD D DE DE MAN MANNI NING NG .$. .$.2 2 VELO VELOCI CIDA DAD D DE CHEY CHEY .$.! .$.! COMPA COMPARAC RACIÓN IÓN VELOCI VELOCIDAD DADES ES .2CANAL CIRCULAR K .2. .2.$ $ VELO VELOCI CIDA DAD D DE DE MAN MANNI NING NG .2. .2.2 2 VELO VELOCI CIDA DAD D DE CHEY CHEY .2.! .2.! COMPA COMPARAC RACIÓN IÓN VELOCI VELOCIDAD DADES ES . ENER ENERG& G&A A ESP ESPEC ECI% I%IC ICA A .$CANAL .$ CANAL RECTANGULAR RECTANGULAR OH:$V .2CANAL CIRCULAR K ". %UER %UERA A ESPE ESPECI CI%I %ICA CA ".$CANAL ".$ CANAL RECTANGULAR RECTANGULAR OH:$V ".2CANAL CIRCULAR K $0.MÉTODO DE VILLÓN $$. $$. DISEO ESTRUCTURAL $2.CANTIDADES Y PRESUPUESTO $!.CONCLUSIONES $4.BIBLIOGRA%&A 4
$5.PLANOS $#.ANEKOS
CONTENIDO CONTENI DO DE TABL TABLAS AS Y DIAGRAMAS DIAGR AMAS
$. TABLA TABLA NO. NO. $ DISEO DE ELEMENT ELEMENTOS OS HORIONT HORIONTAL ALES ES CANAL RECTANGULAR RECTANGULAR 0H:$V Y CIRCULAR K. 2. TABLA TABLA NO. 2 DISEO DISEO DE ELEMENTO ELEMENTOS S VERTICALES VERTICALES CANAL CANAL RECTANGULAR RECTANGULAR 0H:$V Y CIRCULAR K. !. TABLA TABLA NO. NO. ! RESULTAD RESULTADOS OS PRE DIMENSIONAM DIMENSIONAMIENT IENTO O CANAL RECTANGULAR 4. TABLA TABLA NO. NO. 4 RESULTAD RESULTADOS OS PRE DIMENSIONAM DIMENSIONAMIENT IENTO O CANAL CIRCULAR 5. TABLA TABLA NO.5 COMPARACIÓN COMPARACIÓN DE RESULTADOS RESULTADOS CANAL CANAL RECTANGULAR RECTANGULAR #. TABLA TABLA NO.# COMPARACIÓN COMPARACIÓN DE RESULT RESULTADOS CANAL CIRCULAR . TABLA TABLA NO. NO. COMPARACIÓ COMPARACIÓN N METODOLOG&A METODOLOG&A JAP Y HCANALES HCANALES VILLÓN
5
CONTENIDO DE ECUACIONES $. ECUACIÓN $ DE VELOCIDAD DE MANNING 2. ECUACIÓN 2 DE VELOCIDAD DE CHEY !. ECUACIÓN ! DEL %ACTOR DE SECCIÓN 4. ECUACIÓN 4 %ACTOR DE ENTRADA 5. ECUACIÓN 5 EKTRAPOLACIÓN CANAL RECTANGULAR #. ECUACIÓN # EKTRAPOLACIÓN CANAL CIRCULAR . ECUACIÓN EKTRAPOLACIÓN CANAL TRAPEOIDAL M$2 . ECUACIÓN EKTRAPOLACIÓN CANAL TRAPEOIDAL M$4 ". ECUACIÓN " EKTRAPOLACIÓN CANAL TRAPEOIDAL M$ $0.ECUACIÓN $0 EKTRAPOLACIÓN CANAL TRAPEOIDAL M2 $$. ECUACIÓN $$ PRE DIMENSIONAMIENTO ESTRUCTURAL. $2.ECUACIÓN $2 MÉTODO ANAL&TICO GANGILLET AND UTTER $!.ECUACIÓN $!8 ECUACIÓN DE PO'ELL $4.ECUACIÓN $4 %UERA ESPECI%ICA $5.ECUACIÓN $5 ENERG&A ESPECI%ICA
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CONTENIDOS DE IMÁGENES Y DIAGRAMAS
$. IMAGEN NO $ DI%ERENCIA DE CANALES CONDUCCIÓN ABIERTA Y CERRADA 2. IMAGEN 2 ALGUNAS GEOMETR&AS DE CANALES !. IMAGEN NO. ! INGRESO AL PROGRMA HCANALES MÁKIMO VILLÓN BEJAR 4. DIAGRAMA NO. $ METODOLOG&A JAP. 5. DIAGRAMA NO. 2 IDENTI%ICACIÓN SECCIONES PRE DIMENSIONAMIENTO #. IMAGEN N. 4 RESULTADOS OBTENIDOS HCANALES . IMAGEN 5 SECCIÓN TRANSVERSAL CANAL RECTANGULAR . IMAGEN # ESQUEMA DE VIGA CARGADA CANAL RECTANGULAR ". IMAGEN REACCIONES CANAL RECTANGULAR $0.IMAGEN # DIAGRAMA DE CORTANTE CANAL RECTANGULAR $$. IMAGEN # DIAGRAMA DE MOMENTO CANAL RECTANGULAR
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1. OBJETIVOS
A ,)*)6) /( -(/+=() ,/ ,=(*?,/ 66)6-,/ -+6)*( ( -(/6++,, -( +,@(*,: • •
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R(66+ ( -/(1, -+3, 6+6 )6 ,)-) -( 6<6 ), ,*6=(. R(66+ ) +,<+676 9( ),/ (+7*6 +( -7()/,)6+ ) 6)6 ,+ ( 7*,-, -( J3) A<++( P8 , 9( ),/ <()(+6 )6/ 7*6)*(/ () 6/ <(,7(*+>6/ -( ,/ 6)6(/. I-()*;6+ ,/ 7*,-,/ -( -/(1, -( 6)6(/ -()*;6+ *,-6/ 6/ +,(-6-(/ -+36/ -( ,/ 7/7,/. R(66+ ( -/(1, -( 6 (/*+*+6 +(9(+-6 ,+ ( 6)6 -( 6(+-, 6 6 ,);,+76) -( 7/7, O=*()(+ ,/*,/ @ 6)*-6-(/ -( +,@(*,.
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2. MARCO TEÓRICO
2.1
CANALES S( -(),7)6 6)6 6 6 ,)/*+) -(/*)6-6 6 *+6)/,+*( -( ;-,/ ,+ , <()(+6 6<68 (/*6 ,)/*+) (-( /(+ 6=(+*6 , (++6-68 () 6 6 (/ 6<6 +6 -(=-, 6 6 6) -( <+6?(-6- @ /) ))<)6 +(/) 6 -;(+()6 -( 6/ *=(+>6/ 9( /,) (++6-6/ @ 9( ,+ , <()(+6 ( ;-, ?6 -(/-( 6 ,*6 6?( 6 6 =6*(6 -( 6 *=(+>68 ,+ , <()(+6 6 /(+;( =+( -( >9-, (/*3 () ,)*6*, ,) 6 6*7,/;(+6 , 9( 9(+( -(+ 9( ( 6<6 *67=) ;@( 7/6-6 ,+ 6 +(/) 6*7,/;+6.
Imagen NO. 1 – i!erencia de canales con conducci"n abierta y cerrada E/*() 6)6(/ )6*+6(/8 6)6(/ -( +(<, @ 6)6(/ -( )6?(<6): L,/ 6)6(/ )6*+6(/ ,7, / ),7=+( , )-6 /,) ,/ +(6-,/ ,+ 6 )6*+6 6<),/ (+7*() 6 )6?(<6) @ // *6761,/ ?6+>6) -( 6(+-, 6 ,7,+*67()*, -( 6 *(++68 ,+ , <()(+6 6/ +,(-6-(/ -+36/ -( (/*,/ 6)6(/ /,) 7@ ++(<6+(/. Los canales de riego son como vías construidas para conducir el agua hacia zonas que requieren complementar el agua precipitada naturalmente sobre el terreno, este es el tipo de canal de nuestro proyecto. 9
L,/ 6)6(/ -( )6?(<6) /,) 6/ ?>6/ 9( +(66 ( ,7=+( 6+6 ,)(*6+ +>,/8 ,)(),/ , 6<,/.
Imag en No. # – algunas geometrías de canales
2.2
MÉTODO DE RE DIMENSIONAMIENTO JULIÁN AGUIRRE É E +,;(/,+ J3) A<++( P8 )6 () V()((6 ( ! -( 76+, -( $"428 (/ )<()(+, -+3, @ -(/6++,, ) 7*,-, 6+6 ( +(-7()/,)67()*, -( 6)6(/ 6=(+*,/8 /( ,),( *67=) ,) ( ),7=+( -( 7*,-, -( ;6*,+ -( /() , 7*,-, %S8 6)9( (/ )6 =()6 (++67()*6 6+6 ( -/(1, -( 6)6(/ (/ 7*,-, *()() 6<)6/ 7*6)*(/: •
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E +( -7()/,)67()*, ,) JAP8 /,, /( (-( 6(+ 6+6 # *,/ -( 6)6(/8 ( +6+8 +(*6)<6+ @ *+6(,-6 ,) 4 ()-()*(/ -;(+()*(/. O*+6 7*6)*( -( 7*,-, (/ 9( 6/ ()-()*(/ -( ,/ *6-(/ 6+6 (/*6 ,);+76) -(=( /(+ <6 6 ,/ -,/ 6-,/
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
E +,(-7()*, ,/ (6+(7,/ 6/, 6 6/, () ( -(/6++,, -( +,@(*,.
2.!
COMARACIÓN DE VELOCIDADES E/ ) 7*,-, 9( /( (7(6 6+6 ( +(-/(1 =3/,8 ( ,=(*?, () (/*( 7*,-, (/ ,=*()(+ 6/ ?(,-6-(/ ,+ ?6+,/ 7*,-,/ @ ,76+6+6/8 6+6 ,/*(+,+7()*( ,=*()(+ ) 6-68 6/ ?(,-6-(/ 9( /( ,=*()() /,) 6/ ?(,-6- -( M6)))< @ 6 -( C(@8 (+, 6 -( C(@ /( ,=*()( 6 6+*+ -( 6*+, ,(;()*(/ 66-,/ ,+ G6)<(* **(+8 P,(8 **(+ @ <+3;67()*(.
VELOCIDAD DE MANNING. L6 (6) /6 6 6 () ( 61, $"8 ;( +(6-6 ,+ ( )<()(+, R,=(+*8 (/ )6 (?,) -( 6 ?(,-6- -( C(@8 @ /( (7(6 6+6 ( 3, -( 6 ?(,-6- -( 6<6 () 6)6(/ 6=(+*,/. E/*6 (6) (/ +,-*, -( +,(/,/ -( 6/*( -( +?6/8 ,+ , 9( (/ (7>+68 -(=-, / /7-6- @ 6 ,/ +(/*6-,/ /6*/;6*,+,/ 9( /( 6) ,=*()-, 6 , 6+<, -( / *+6@(*,+6 (/ 6 73/ /6-6 6+6 3,/ -( ;, );,+7( -( (/++7()*, -( 6)6(/ 6=(+*,/. L6 (6) (/:
ecuaci"n 1 D)-(: • • •
R: +6-, H-+3, S ()-()*( N ,(;()*( -( M6)))<
COE"ICIENTE DE MANNING# E/*( ?6,+ (/ 7@ ?6+6=( @ -(()-( -( ?6+,/ ;6*,+(/8 ,+ , 9( -(=(7,/ *()(+ 6+-6- /,=+( ,/ /<()*(/ ;6*,+(/: •
R$%o&id'd de (' S$)e*+i,ie# /( +(+(/()*6 ,+ 6 ;,+76 @ *6761, -( ,/ <+6),/ -( 76*(+6 9( ;,+76 ( (+>7(*+, 7,6-, 9( +(*6+-6) ( ;,8 ()*+( 73/ ;),/ ,/ <+6),/8 ( ?6,+ -( ) (/ 7(),+ 11
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Ve%et',i-n: (/ )6 +<,/-6- /(+;68 -(()-( -( 6 6*+68 -()/-6-8 -/*+=) @ *, -( ?(<(*6). I**e%$('*id'd de ,'n'(: /( ,=/(+?6 () 6/ /(,)(/ *+6)/?(+/6(/ -( 6)6 @ -( ,/ ((7()*,/ <(,7*+,/ -( 6 /() -( ) 6)6. A(ine'iento de( ,'n'(: () +?6/ /6?(/ @ +6-,/ <+6)-(/8 ( ?6,+ -( ) (/ +(6*?67()*( =6, @ ?(?(+/6 Sedient',i-n / e*o&i-n: -6) ) 76@,+ ?6,+ @ 7(),+ ?6,+ 6 ) -(()-()-, -( // 6+6*(+>/*6/. O0&t*$,,i-n: ()*+( 73/ ,=/*+) 76@,+ ( ,(;()*(8 (/*6/ ,=/*+,)(/ -(()-() -( )7(+, @ *6761, -( 6/ 7/76/.
VELOCIDAD DE CEY E/*6 (6) ;( -(/6++,6-6 ,+ ( )<()(+, A)*,)( C(@8 ;( 6 +7(+6 ;+76 (7(6-6 6+6 6 -(*(+7)6+ 6 ?(,-6- -( ;-, () 6)6(/ 6=(+*,/: $cuaci"n # D)-(: • • •
R: +6-, -+3, S: ()-()*( C: ,(;()*( -( C(@ E/*( ,(;()*( /( (-( ,=*()(+ ,+ ,/ 7*,-,/ 9( /( (6) 6 ,)*)6)8 ( 7*,-, <+6;, -(()-( -( )6/ ?6+6=(/8 ,/ -(73/ 7*,-,/ /,) 6 66) -( ;,+76/
2.3
G+3;67()*(8 ,) ( +6-,8 6 ()-()*( @ ( ,(;()*( -( +<,/-6- -( M6)))<8 () ( 6)(, 2 G6)<(* **(+ P,(8 **(+ B6)
VILLÓN4 CCANALES.
E )<()(+, (+6), M37, V) B(+6+ +(, ) /,;*6+( 9( ),/ (+7*( +(/,?(+ ,/ +,=(76/ 73/ ;+(()*(/ 9( /( ()()*+6) () ( -/(1, -( 6)6(/ @ (/*+*+6/ -+36/. E) / =+, H-+36 -( 6)6(/ (6 6/ 7(*,-,,<>6/ (7(6-6/ 6+6 6 +(6) -( /,;*6+(8 (/*( +,<+676 (/ ) /(), -( (7(6+ @ ),/ (+7*( /7;6+ 3,/ 6 76), ( *(+6*?,/8 (/ 7@ 7,+*6)*( 9( ( +,<+676 ),/ (+7*( ?6+6+ 69(+ 6+37(*+, , +,(-6- -+36 -( 6)6 @ ),/ 6++,6 ,/ 12
-6*,/ +(9(+7,/ 6+6 ( -/(1, -( 7/7, +(-()-, 6/> *(7,/ () ( )<()(+,.
Imagen No. % – Ingreso al &rograma '()N)L$*+-imo
CANALES (+7*(: •
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S7;6+ ,/ 3,/ *(-,/,/ 9( /( +(9(+() () ( -/(1, -( 6)6(/ @ (/*+*+6/ -+36/. R(66+ /76,)(/8 ?6+6)-, 69(+ 6+37(*+, -+3, ,7,: -;(+()*(/ ,)-,)(/ -( +<,/-6-8 ()-()*(8 ;,+76 @ -7()/,)(/ -( 6)6.
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R(-+ (),+7(7()*( ( *(7, -( 3,.
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T()(+ 6 /(<+-6- -( 9( ,/ +(/*6-,/ ,=*()-,/ /,) ,++(*,/.
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O*76+ *)6 @ (,)767()*( ( -/(1, -( ) 6)6.F7376 (;()6 G()(+6+ () ;,+76 ((+7()*6 ,)/-(+6,)(/ +3*6/ 6+6 ( -/(1, -( 6)6(/.
ROÓSITO Y OBJETIVO# %6*6+ ( -/(1, -( 6/ ,=+6/ -( 6*6)8 ,)-)8 -/*+=)8 66) @ (?66) -( 6<6 -( ) //*(76 -( +(<, @ -+()6(8 -( /, ,=6,)68 13
<()(+6)
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DESCRICIÓN DEL SISTEMA# E //*(76 (+7*( +(/,?(+ ,/ +,=(76/ 73/ ;+(()*(/ 9( /( +(/()*6) () ( -/(1, -( 6)6(/ @ (/*+*+6/ -+36/8 ,/ 6(/ /,): •
C66+ ( *+6)*( ),+76
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C66+ ( *+6)*( +>*,
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C66+ ( +(/6*, -+3,
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C66+ 6 +?6 -( +(76)/,
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C66+ 6-6(/ 6+6 6/ /(,)(/ *+6)/?(+/6(/ 6+*;6(/ -( /, ,7)8 ,7, /,):
- /() *+6)<6+ - /() +(*6)<6+ - /() *+6(,-6 •
- /() 6+6=6 - /() +6+
C66+ 6-6(/ 6+6 /(,)(/ )6*+6(/ ,) )6 +<,/-6- , ,) +<,/-6- ,7(/*6
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C3, () ,7(+*6/ ,+;,/ @ ?(+*(-(+,/
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C3, -( *+6)/,)(/ 66=(6-6/
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C3, ,) ?(+*(-(+, 6*(+6
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C3, -( +--6/ ,+ );*+6) () 6)6(/
!. DESCRICIÓN DEL ROYECTO E/ )6 ,)-) 6+6 ) 6)6 6=(+*, -( #458407 -( ,)<*7(--,/ () 6)*6 @ #4#80$7 7(--,/ () ,+*(8 ( 6)6 6=(+*, /( 6 -/(16-, 6+6 6/ ,);,+76,)(/ 0H:$V R(*6)<6+ () 76*(+6 +><-, @ K C+6+ +><-, ,) ) 6-6 -( -/(1, -( 508#"7/ 6 7(*,-,,<>6 -( -/(1, +)6 (/ J.A.P @ /( ,76+6+6 ,) 6 7(*,-,,<>6 -( V) H6)6(/ 9( 66 /,67()*( 6+6 ( 6)6 +(*6)<6+ @6 9( 6+6 ( 6)6 +6+ ), 6@ ,) 6+6 (?66+, ,+ /() -( 7376 (;()6. •
3. ALINEAMIENTO DEL ROYECTO 14
E -,()*( ),/ /7)/*+6 ( -/(1, -( 6)(67()*, () 6)*6 , +*6 ( (( ,+ -,)-( *+66+(7,/ )(/*+, 6)68 6 +(66+ 6 +(?/) -( 6-6 ), -( ,/ ((7()*,/ -( 6 +*68 @ -( 6/ +?6/ ?(7,/ 9( /( -(=() +(66+ ),/ 6/*(/ 6+6 9( )(/*+, 6)6 9(-( =() -/(16-,8 6+6 +(66+ (/*,/ 6/*(/ 6+*7,/ -( ,),7()*, 6-9+-,/ () 6 76*(+6 -( +,@(*, -( 6++(*(+6/8 @6 9( )(/*+, 6)6 (/ )6 ?>6 ,+ -,)-( *+6)/,+*6+(7,/ 6<6 6+6 )(/*+, +,@(*, *+6)/,+*6+(7,/ 6<6 ), ,*6=(. •
E -/(1, () 6)*6 ,/ ,-(7,/ ,=/(+?6+ () ,/ 6),/ 9( /( 6-)*6/ 6 (/*( (/+*, •
5.1 DISE6O DE ELEMENTOS ORIONTALES CANAL RECTANGULAR 7#1V Y CIRCULAR 89:# Con;en ,ione&
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S( +(6 ) 6/*( N <(,7*+, () ( +6-, -( +?6*+6 PI# •
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R: R6-, -( +?6*+6
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T: T6)<()*(
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C+?6
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E: E*(+)6 +?6
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L: L,)<*-
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2abla No. 1 ise3o $lementos 'orizontales
5.2 ER"IL DE CANAL C,) 6/ 6=//6/ @ ,*6/ -( )(/*+, -/(1,8 +(667,/ )(/*+, (+;8 -()*;67,/ ()-()*(/ @ 6/ +?6/ ?(+*6(/ 9( /( ),/ +(/()*6). E -/(1, ( (+; , ,-(7,/ ,=/(+?6+ () ,/ 6),/ 9( /( 6-)*6/ 6 (/*( (/+*,.
ELEMENTOS VERTICALES LOCALIACIÓN DE LAS CURVAS DEL CANAL RECTANGULAR 7#1V Y CIRCULAR 89: •
2abla No. # ise3o $lementos verticales 16
5. MÉTODO JULIÁN AGUIRRE É < JA •
5.1
ROCEDIMIENTO METODOLOG=A JA
E/*6 7(*,-,,<>6 /( ()*+6 +)67()*( () ) +*(+, -( (/=(*( 9( (/ 6 +(6) ()*+( 6 =6/( -( 6)6 @ 6 6*+6 -( 6 37)6 -( 6<6 9( , -(;)( ( /6+, 6+6 (/*( 6/, 6+*6+ 6+6 ( 6)6 +(*6)<6+ /( 6 6-,*6-, ) +*(+, -( (/=(*( <6 6 5 @ 6+6 ( 6)6 +6+ ,+ ),+76 /( -(=( 6-,*6+ 6+6 37)6 -( 6<6 8// +)6(/ 7*6)*(/ /,) 6/ ,);,+76,)(/ -( 6)6 (/ -(+ 6 <(,7(*+>6 (/ )6 7*6)*( ,+ (/*6 7(*,-,,<>6 /,, (-() (?66+/( 6)6(/ +(*6)<6+(/8 6)6(/ *+6(,-6(/ ,) *6- $:$8 $28 $0858 $0825 @ 6)6(/ +6+(/8 ( +,(-7()*, (/ ( /<()*(:
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•
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$cuaci"n N4. % •
3> C66+ ( %E , ;6*,+ -( ()*+6-68 6+6 (/*, -(=(7,/ 6/7+ ( ?6,+ -( ) = 6), -( 6)6 , -37(*+, -( 6)68 (, (/*, 667,/ 6 /<()*( ;,+76 • •
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G*@+i,'ente# 6+6 (?66+ YC= ),/ ?67,/ 6 )neo No. #, ,) ( ?6,+ -( %.E ()*+67,/ ,+ ( (( -( 6/ 6=//6/8 @ /( ,+*6 ?(+*67()*( ,) 6 >)(6 ,++(/,)-()*( 6 6 ,);,+76) -( 6)6 (?66-,8 (<, ),/ ?67,/ ,+,)*67()*( @ ((7,/ ( ?6,+ -( YC= E6,)(/ -( E*+6,6): 6-6 ,);,+76) -( ,/ 6)6(/ 9( (-() +( -7()/,)6+/( ,+ 6 7(*,-,,<>6 J.A.P ()*6 ,) )6 (6) -( (*+6,6) ,+ 7(-, -( 6 6 ,-(7,/ (<6+ 6 ,=*()(+ ( ?6,+ -( 6 6*+6 -( 6 37)6 -( 6<68 6 ,)*)6) /( /*6) (/*6/ ;+76/ 6+6 6-6 ,);,+76) •
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Re&t*i,,ione E 737, ?6,+ -( "E 9( (-( /(+ )<+(/6-, () 6/ (6,)(/ (/ -( 5 •
> D( +(/*6-, ,=*()-, () ( 6/, 5 -(/(67,/ ( ?6,+ -( Y 9( (/ 6 6*+6 -( 6 37)6 -( 6<6 (, (/*, +(667,/ 6 +(6) ()*+( ( 6), -( 6 =6/( @ 6 6*+6 -( 6 37)6 -( 6<6. •
E/*6 +(6) -(=( 7+ ( +*(+, -( (/=(*( 6/<)6-,8 6+6 (/*( +,@(*, /( 6 6/<)6-, )6 (/=(*( -( 58 () 6/, -( 9( ), /( 76 (/*( +(9(+7()*, /( -(=(+3 +((*+ ,/ 6/,/ -( 2 6 4. •
• •
Determinar Q
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E!"#er !"n$"rma!i%n
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Ca&!'&ar ()
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Ca&!'&ar (E
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E
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iagrama No.1 etodología <)&
e*e&t"
Die,ar
• •
> H6=()-, +( -7()/,)6-, ( 6)6 6/(<+3)-,),/ 9( ,/ +*(+,/ -( (/=(*( /( (/*) 7()-, procedemos a realizar el pre dimensionamiento estructural ,+ 7(-, -( 6/ /<()*(/ ;,+76/: •
$cuaci"n N4. 11+ pre dimensionamiento estructural -
BL B,+-( =+(: F$0 6 $4 -( Y L, -(;)( ( /6+, EV FE/(/,+ ?3/*6<,: 08!04Y C,7, ?6,+ 7>)7, -(=( /(+ 08257 @ ,7, ?6,+ 737, 08!7 EL FE/(/,+ ,/6 : $8!2 E? C,7, ?6,+ 7>)7, -(=( /(+ 08!07 @ ,7, ?6,+ 737, 08427 •
-
•
- T FT6) , 6+6 -( 6)6: $8!2 E? • •
:> H6=()-, ,=*()-, *,-, ( +( -7()/,)67()*, /( +,(-( 6 ,=*()(+ *,-6/ 6/ +,(-6-(/ -+36/ -( 6)6 6/ 6(/ /( /*6) 6 ,)*)6) @ // ;+76/ ,-+3) /(+ (),)*+6-6/ () )neo 1=2abla de secciones b-sicas de dise3o= 6 ;)6 -( (/*( -,7()*,: •
- A F Á+(6" - P FP(+>7(*+, 7,6-, - R FR6-, H-+3, - T F A), /(+;6 - DF P+,;)--6- H-+36 - F %6*,+ -( /() • •
5.2
MANUAL DEL ROGRAMA
E +,<+676 9( <()(+67,/ 6+6 ( -(/6++,, -( )(/*+, +,@(*, (/*3 6)*(6-, () E(8 ()*6 ,) ( +( -7()/,)67()*, -( 7*,-, -( JAP 6+6 *,-6/ 6/ ,);,+76,)(/ (+7*-6/ ,+ (/*( 7*,-,. •
H6@ )6 ,6 () E( 6+6 6-6 ,);,+76)8 )6 6+6 ( +(*6)<6+8 ,*+6 6+6 ( +6+ @ ,*+6 6+6 ( *+6(,-68 () ( *+6(,-6 ,-(7,/ (/,<(+ 6 ()-()*( -( )(/*+, *6- ,) 6 =6++6 -(/(<6=( 9( ),/ 7(/*+6 6/ ,,)(/ -6-6/ ,+ JAP. X8 8 $ @ 2. •
P6+6 ( -(/6++,, -( 76)6 -( )(/*+, +,<+676 *,76+(7,/ ,7, ((7, ) 6)6 +(*6)<6+ ( 6 /( -;(+()6 () -( ,/ ,*+,/ () 6/ +,(-6-(/ -+36/ +(9(+-6/ ,+ 6/6 <(,7(*+>6 @ () ( 6/, -( *+6(,-6 9( ),/ (+7*, (/,<(+ ( *, -( *6-. •
•
REDIMENSIONAMIENTO CANAL O# 1V L6 )*(+;6 /( ,7,)( -( ! 6+*(/ +)6(/8 6/ (-6/ +(/6*6-6/ () ,,+ 676+, /,) ,/ -6*,/ 9( ( /6+, -(=( )<+(/6+ 6 +,<+676 ,/ 6(/ /,)::
•
iagrama No. # Identi!icaci"n *ecciones >edimensionamiento -
o*,ent'e de YC '&i%n'do '( BL# P6+6 ) 6)6 +(*6)<6+ () 6 Se,,i-n 1 ( /6+, -(=( -(;)+ ( ,+()*6( -( 6 37)6 -( 6<6 9( ( 6/<)6+6 6 =,+-( =+( -( 6)68 (/*6 (-6 /( ,7,)( -( )6 =6++6 -(/(<6=( 9( ()*6 ,) (+*6/ +(/*+,)(/8 *,76)-, ,7, =6/( 6 7(*,-,,<>6 -( JAP /,, /( (+7*( ) +6)<, -( $0 6 $4 -( 6 37)6 -( 6<6 6/<)6-, 6 =,+-( =+(8 6 =6++6 -(/(<6=( 6 /(+ /((,)6-6 /( ?(+6 -( 6 /<()*( ;,+76 •
- o*,ent'e e&0e(te# ,*+, 6/(*, 9( ( /6+, ,-+3 -(;)+ (/ ( ,+()*6( -( (/=(*( ,) ( 9( -/(16+6 ( 6)68 (/*( 6+37(*+, *67=) /( 6 +,<+676-, ,) (+*6/ +(/*+,)(/8 ( +,<+676 *+6=66 ,) ) ,+()*6( -( (/=(*( -( #0 6 $008 (/ -(+ (/*( (/ ( +6)<, -( ?6,+(/ ,) ( 9( ( /6+, ,-+3 *+6=66+ 6 <6 9( 6 6/6 -( =,+-( =+( (/*6 (/ )6 =6++6 -(/(<6=( 9( 6 /(+ /((,)6-6 /( ?(+6 -( 6 /<()*( ;,+76 •
- C'$d'(: E) 6 secci"n # ( /6+, -(=( )<+(/6+ // 6-6(/ -( *+6=6,8 (/*( 6-6 -(=( /(+ ,/*?, -;(+()*( -( (+, -( ), /(+, ( +,<+676
()?6+6 )6 6(+*6 )-3)-,( 9( -(=( 67=6+ / 6-6 , () / -(;(*, / ), 66 -(=(+3 ,,6+ () 6 (-6 NA8 6 )*(+;6 (/ ,7, /( 7(/*+6 6 ,)*)6)8 6 ;)6 ( +,<+676 +(66+6 6 /76*,+6 -( ,/ 6-6(/ )<+(/6-,/ 6+6 ,=*()(+ ( 6-6 -( -/(1, •
L,/ 6-6(/ 9( ( /6+, (-( )<+(/6+ /( ()()*+6/ +(/6*6-,/ ,) ,,+ 676+,8 6 *76 6/6 QD 7/ (/ ( 6-6 -( -/(1, 9( /( ,7,)( -( 6 /76*,+6 -( ,/ 6-6(/ 9( ( /6+, )<+(/6 6 +,<+676 •
U)6 ?( )<+(/6-, ,/ -6*,/ ,++(*67()*( +,(-(7,/ 6 +(?/6+ 6 ;6 A8B8$8 (/*6 ;6 ),/ )-6 / ,-(7,/ , ), +( -7()/,)6+ ( 6)68 / ,/ -6*,/ ;(+,) )<+(/6-,/ ,++(*67()*( 6 (-6 6++,6+6 ) 6-+, -( -6,<, )-3)-,),/ 9( ,-(7,/ +(-7()/,)6+ ( 6)68 )6 ?( ?(+;6-, (/*, +,(-(7,/ 6 6(+ () ( =,*) +(-7()/,)6+ 6)6 +(*6)<6+8 6+6 9( (/*( =,*) ;),)( ,++(*67()*( -(=(7,/ 6=(+ 6*?6-, +(?67()*( 6 ,) -( 76+,/8 ( =,*) (/ ,7, /( 7(/*+6 6 ,)*)6) •
•
E/*( =,*) *()( 6/<)6-6 )6 76+, 676-6 6)6 +(*6)<6+8 , 9( 6( (/*( +,<+676 (/ +(66+ *,-6/ 6/ *(+6,)(/ )((/6+6/ 6+6 =/6+ ( ?6,+ -( ) = , 6), -( 6 =6/( -( 6)6 9( 6 +(6,)6+, ,) 6 6*+6 -( 6 37)6 -( 6<6 76 ,) ( +*(+, -( (/=(*( 9( ( /6+, +(?67()*( ( 6 6/<)6-,. •
T,-, ( +,<+676 ;( +(66-, =6, 6/ ;,+76/ @ ( +,(-7()*, 6)*(+,+7()*( -(/+*, -( J3) A<++( P. •
-
Se,,i-n 1#
D()*+, -( +,<+676 (/ 676-6 ,7, *6=6 $.$ @ /,) ,/ -6*,/ -( ()*+6-6 +)6(/ @ ( +(-7()/,)67()*, )6 -( 6)6 ,+ , *6)*, -( 6 *6=6 $.$ ), -(=() *,76+/( ,7, ,/ -6*,/ ;)6(/ -( +(-/(1,8 •
-
Se,,i-n 2#
P6+6 9( ( /6+, (-6 ?(+ / +(-7()/,)67()*, ;)6 /( -+<( 6 6 /() ! -( 6 )*(+;6 *67=) 676-6 *6=6 $.2 () -,)-( /( )-6) ,/ 6+37(*+,/ (/*+*+6(/ ( -+3,/ ;)6(/ -( +(-7()/,)67()*, •
E) ( 6+?, 76<)*, /,, /( (),)*+6+6) 6*?6-6/ 6+6 (-) 6/ (-6/ +(/6*6-6/ () ,,+ 676+, 6+6 (?*6+ 9( ( /6+, )<+(/( -6*,/ () (-6/ -,)-( ), (/ (+7*-, 6(+,8 (/ -(+ 6 76)6) -( 6/ -(73/ ), (/ ,/=( ,+9( /( ()()*+6) =,9(6-6/. •
Nota:
RESULTADO DEL PREDIMENSIONAMIE NTO •
E 7/7, +,(-7()*, +(66-, 6+6 ( +( -7()/,)67()*, -( 6)6 +(*6)<6+ /( +(66 K> 6+6 +6+ @ *+6(,-68 /,, 9( () (/*( *7, ,-(7,/ (/,<(+ 6 ()-()*( -( *6-. > L,/ -6*,/ ,=*()-,/ -( +(-7()/,)67()*, -( 6/ 6)*(+,+(/ *(+6,)(/ )*, ,) ,/ -6*,/ -( > 6)(67()*, *6)*, () 6)*6 ,7, () (+; 67()*6 6 76*+ -( /7=,,<>6 ,/ +(/*6-,/ ?6+>6) -(()-()-, -( 6 ,);,+76) (+, ( ,7,+*67()*, -( +,<+676 (/ *, •
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5.!
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5.!.1 C'n'( 7#1V < Re,t'n%$('* $. I)<+(/67,/ )(/*+, 6-6 () 6 6/6 -( 6-6 -( ,)/*6 @6 9( ;( /7)/*+6-, ,+ ( -,()*(: 50.#0 7 !/8 ,7, (/ ( ), 6-6 9( *()(7,/8 ,)(7,/ () 6/ (-6/ -( ,/ -(73/ 6-6(/ NA @ )(/*+, 6-6 -( -/(1, /(+6 ( 7/7, 9( ( -( ,)/*6: 50.#0 7 !/. 2. E) 6 (-6 -( o*,ent'e de YC '&i%n'do '( BL (6-6 () ( +,<+6768 (/,<(7,/ ) ,+()*6( -( $2 !. E) 6 (-6 -( o*,ent'e e&0e(te (6-6 () ( +,<+6768 (/,<(7,/ ) ,+()*6( -( 5
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A -6+ /,=+( ( =,*) +( -7()/,)6+ C6)6 R(*6)<6+Z8 ,=*()(7,/ ,/ /<()*(/ -6*,/ () 6 •
• •
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28
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•
2abla No. 5 >esultados predimensionamiento (anal >ectangular
5.!.2 C'n'( Ci*,$('* 9: •
4. I)<+(/67,/ )(/*+, 6-6 () 6 6/6 -( 6-6 -( ,)/*6 @6 9( ;( /7)/*+6-, ,+ ( -,()*(: 50.#0 7 !/8 ,7, (/ ( ), 6-6 9( *()(7,/8 ,)(7,/ () 6/ (-6/ -( ,/ -(73/ 6-6(/ NA @ )(/*+, 6-6 -( -/(1, /(+6 ( 7/7, 9( ( -( ,)/*6: 50.#0 7!/. 5. E) 6 (-6 - ( o*,ent'e de
'&i%n'do YC (6-6 () (
+,<+6768 (/,<(7,/ ) ,+()*6( -( #. E) 6 (-6 -( o*,ent'e de
'&i%n'do BL (6-6 () (
+,<+6768 (/,<(7,/ ) ,+()*6( -( $ . E) 6 (-6 -( o*,ent'e e&0e(te (6-6 () ( +,<+6768 (/,<(7,/ ) ,+()*6( -( 5 •
A -6+ /,=+( ( =,*) +( -7()/,)6+ C6)6 R(*6)<6+Z8 ,=*()(7,/ ,/ /<()*(/ -6*,/ () 6 /() *+(/8 9( ,7, , (67,/ /,) 6+37(*+,/ -+3,/. •
•
E) (/*( C6)6 ,7*7,/ ( +(-7()/,)67()*, -( ,/ ((7()*,/ (/*+*+6(/ @ 9( 6)6 +6+ ), ()*6 ,) (/*,/ ((7()*,/8 6+6 (/*( 6/, /( (<( ) +,?((-,+ 9( 76 ,) ( -37(*+, -( +(-7()/,)67()*, (+, ), (/ -( 66)( -( (/*( +,@(*, -(;)+ -, 6+37(*+,. •
•
•
2abla No. 5 >esultados predimensionamiento (anal (ircular • • • • • • •
5.3
MATRI DE SIMBOLOG=A
L6 76*+ -( /7=,,<>6 ),/ (+7*( ,+<6)6+ *,-6 6 );,+76) -( -/(1, -( )6 6)68 (/*6 /( +(66 ,) ( ,=(*?, -( 76)*()(+ 6 );,+76) -( ,)/*6 @ 9( /(6 ;3 -( ()*()-(+ @ -( (),)*+6+ 69(+ -6*, 9( +(9(+7,/: •
1. T*'o: )-6 6 -/*6)6 , +(,++-, 9( (/*-6+(7,/8 ,+ , <()(+6 ) 6)6 /( -?-( () ?6+,/ *+67,/. E/*6 ,7)6 /( /=-?-( () -,/ 6 +7(+6 )-6 ( )*, -,)-( )6 ( *+67, 9( /( -(/+=+3 @ 6 /(<)-6 -,)-( *(+7)6 ( 7/7,. •
ELEVACIONES
•
2. E(e;',ione&9 i : )-6 6/ ,*6/ (/ -(+ -( )*, -,)-( )6 )(/*+, *+67,. !. E(e;',ione&9 d # /( ),7=+( ,*6 -( -(/,(8 )-6 6/ ,*6/ (/ -(+ -( )*, -,)-( *(+7)6 )(/*+, *+67,. 3. Li: )-6 6 ,)<*- -( *+67, () (/*-, 9( -(=(+>6 /(+ 6 -;(+()6 -( 6/ 6=//6/ -( )*, -( ), @ -( )*, ;)6 -( *+67,. 5. Lon%it$d en ,o*te# )-6 6 ,)<*- -( *+67, () ( (+;. •
PENDIENTADO
. endient'do9S: (/*( (/ ( ()-()*6-, 6+68 (/ -(+ 6 ()-()*( -( *+67,8 ,=*()-6 ,) 6 ,)<*- @ ((?6) -( *+67,. . endient'do9ST: )-6 6 ()-()*( *,*6 -( 6)68 -(/-( ( )*, -,)-( 6++6)6 )(/*+, 6)6 6/*6 ( ;)6 -( 6)68 ), -( *+67,8 (/*6 (/ ,)/*6)*( 6 , 6+<, -( -(/6++,, -( 6 76*+. •
EVALUACIÓN DE CAUDALES
:. CIA# /( -(),7)6 6-6 +6,)68 /( ,=*()( 6 6+*+ -( 6 ,(+6) -( +,-*, ()*+( ( ,(;()*( -( (/,++()*>6 -6-, ,+ 6 ()*-6,++(/,)-()*( (-( /(+ ( IGAC8 6 )*()/-6- @ ( 3+(6 -( 6 ()6 -( *+6=6,. . TR# /( ( -(),7)6 6-6 -/*+=-,8 /( ,=*()( 6 6+*+ -( (+,-,/ -( +(*,+), -()*;6-,/ () -;(+()*(/ <+6;6/ ,7, N,+768 L,<N,+768 P(6+/,)8 L,<P(6+/,)<7=(. 17.A+o*o&: (/*( ?6,+ /( ,=*()( 6 6+*+ -( 7(-,)(/ +(66-6/ () /*, ,+ -;(+()*(/ 7*,-,/. 11. Con&$(t'# /,) ,/ ,=*()-,/ -( 6/ =6/(/ -( -6*,/ -( ()*-6-(/ ,7, 6 C,+,+6) A*),76 R(<,)6 – CAR , ( IDEAM8 (/*,/ -6*,/ ), /,) 7@ ,);6=(/ ,+ , 9( /( +(,7()-, / ?(+;6). 12. C'$d'( de di&eFo# (/ ( 6-6 9( /( (7(6+6 6+6 ( -/(1, -( ,/ 6)6(/8 (/*( /( ,=*()( -( 16 /76*,+6 -( ,/ 6-6(/ 6)*(+,+(/. •
1!.Con+o*',ione -(;)( 6 <(,7(*+>6 -( 6)68 / (/ +6+8 +(*6)<6+8 *+6(,-68 () )(/*+6 76*+ ),/ (+7*( /((,)6+ -( )6 =6++6 -(/(<6=( )6 ,);,+76) -( 6/ ,/=(/ -( 6(+-, ,) ( 7*,-, JAP. DIMENSIÓN ASUMIDA: (/*6 -7()/) /( ()()*+6 ;,+76-6 () )(/*+, +,<+6768 6)-, () 6 ,7)6 $! /((,)67,/ 6 ,);,+76)8 (/*( *+6( ,/ -6*,/ ,++(/,)-()*(/ 6 (/*6 ,) ;,+76) () 6/ ,7)6/ $48$5 @ $#8 / -7()/) ), 66 6+6 (/6 ,);,+76) (/,<-6 66+(( NA •
•
13.B# )-6 6 =6/( -( ) 6)6 +(*6)<6+ , *+6(,-6 @6 -(;)-68 / () 6 ,7)6 $! /( )-6 9( (/ ) 6)6 +6+ () (/*6 -7()/) 66+(( NA 15.#)-6 ( -37(*+, -( ) 6)6 +6+8 / () 6 ,7)6 $! /( )-6 9( (/ ) 6)6 +6+ (/( *+6(+3 ( -6*, -( +( -7()/,)67()*, +(66-, +(?67()*(8 / /( )-6 ,*+, *, -( 6)6 () (/*6 -7()/) 66+(( NA 1.# )-6 ( *6- -( ) 6)6 +6+8 / () 6 ,7)6 $! /( )-6 9( (/ ) 6)6 *+6(,-6 (/( *+6(+3 ( -6*, -( *6- /((,)6-, () ( +( -7()/,)67()*, +(66-, +(?67()*(8 / /( )-6 ,*+, *, -( 6)6 () (/*6 -7()/) 66+(( NA •
CRITERIOS DE ESBELTE •
1.B## )-6 6 +(6) ,+()*6 -( (/=(*( 9( 6@ ()*+( 6 =6/( -( )(/*+, 6)6 @ ( =,+-( =+( 6+6 6)6 +(*6)<6+ @ *+6(,-6 6+6 ( 6/, -( 6)6 +6+ 6 +(66) -( -37(*+, . E/*6 (-6 /( ()()*+6 ;,+76-6 6+6 9( ),/ )-9( ( ,+()*6( -( (/=(*( 9( *()( ( +(-7()/,)67()*, 1:.B(# )-6 6 +(6) ,+()*6 -( =,+-( =+( -( 6)68 E/*6 (-6 /( ()()*+6 ;,+76-6 6+6 9( ),/ )-9( ( ,+()*6( -( (/=(*( 9( *()( ( +(-7()/,)67()*, •
1. A$&te# )-6 ( -( 6/*( 6+6 6-6 *, -( 6)6 -( 6(+-, ,) 6/ (6,)(/ -( (*+6,6) @ 6/*(8 6/ 6(/ ),/ (+7*() 66+ )6 %( @ ) YC. E/*6 (-6 /( ?)6-6 ,) ( +(/*6-, ,=*()-, -( 6/*( +(66-, ,+ (/*6 (6) -( 6(+-, 6 *, -( 6)68 (/ -(+ / () 6 ,7)6 $! /( /((,)6 ) 6)6 +(*6)<6+8 (/ (/*6 (-6 F$". A/*(8 ),/ *+6( 6 (6) -( 6/*( ,++(/,)-()*( 6 6)6 +(*6)<6+ @ / +(/(*?,/ +(/*6-,/. 27.*e(iin'*# *()()-, () ()*6 6 ,7)6 $8 () (/*6 (-6 6 76*+ ),/ )-6 / ( 6)6 7( , ), ,) ,/ +*(+,/ -( (/=(*(8 / 6 (-6 ),/ 6++,6 9( ( -/(1, 7( ,)*)67,/ ,) ( -(/6++,, -( 6 76*+8 / ),/ )-6 9( ( D/(1, ), 7(8 -(=(7,/ +(66+ ,/ 6/*(/ ,++(/,)-()*(/ () 6/ -7()/,)(/ -( 6)6. •
PRE DIMENSIONAMIENTO %INAL. E) (/*6/ ,7)6/ /( -(;)() 6/ -7()/,)(/ ;)6(/ -( +(-/(1, -( 6)68 (<, -( ?(+;6+ () 6 ,7)6 20 ( 77()*, -( -/(1,8 *,-,/ (/*,/ -6*,/ (<6) (<, -( 6 -(;)) -( 6 ,);,+76) @ -( 77()*, -( -/(1,. •
•
21. B )-6 6 =6/( -( ) 6)6 +(*6)<6+ , *+6(,-6 @6 -(;)-68 / () 6 ,7)6 $! /( )-6 9( (/ ) 6)6 +6+ () (/*6 -7()/) 66+(( NA8 (/*6 -7()/) @6 7( ,) ,/ 6+37(*+,/ -( (/=(*( (/ ), (-, +(?/6+ (/*6/ -7()/,)(/ 6/*6 ), ?(+;6+ 9( () 6 ,7)6 20 7 -/(1, 7(. 22.#)-6 ( -37(*+, -( ) 6)6 +6+8 / () 6 ,7)6 $! /( )-6 9( (/ ) 6)6 +6+ (/( *+6(+3 ( -6*, -( +( -7()/,)67()*, +(66-, +(?67()*(8 / /( )-6 ,*+, *, -( 6)6 () (/*6 -7()/) 66+(( NA8 (/*6 -7()/) @6 7( ,) ,/ 6+37(*+,/ -( (/=(*( (/ ), (-, +(?/6+ (/*6/ -7()/,)(/ 6/*6 ), ?(+;6+ 9( () 6 ,7)6 20 7 -/(1, 7( 2!.# )-6 ( *6- -( ) 6)6 +6+8 / () 6 ,7)6 $! /( )-6 9( (/ ) 6)6 *+6(,-6 (/( *+6(+3 ( -6*, -( *6- /((,)6-, () ( +( -7()/,)67()*, +(66-, +(?67()*(8 / /( )-6 ,*+, *, -( 6)6 () (/*6 -7()/) 66+(( NA8 (/*6 -7()/) @6 7( ,) ,/ 6+37(*+,/ -( (/=(*( (/ ), (-, +(?/6+ (/*6/ -7()/,)(/ 6/*6 ), ?(+;6+ 9( () 6 ,7)6 20 7 -/(1, 7(
23.B(# )-6 ( =,+-( =+( -( )(/*+, 6)6 (/*( @6 7( ,) 6 +(6) -( $0$48 (/*6=(-6 ,+ JAP8 (/*6 -7()/) 7( ,) ,/ 6+37(*+,/ -( (/=(*( (/ ), (-, +(?/6+ (/*6/ -7()/,)(/ 6/*6 ), ?(+;6+ 9( () 6 ,7)6 20 7 -/(1, 7( 25.t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•
CANTIDADES DE OBRA: (/*6/ ,7)6/ /,, 6() +(;(+()6/ 6 6)6(/ +><-,/8 (/ -(+ ,/ ,)/*+-,/ () ,)+(*, , 767,/*(+>68 (/*6/ 6)*-6-(/ /( ()()*+6) ,+ M(*+, L)(6 () 6 6+6 -( ,/ C6)6(/8 (/*6/ 6)*-6-(/ ), ()*6) ,) ((7()*,/ -( +(;(+, @ /,, /( (7(6 6+6 6)6(/ +(*6)<6+(/ @ *+6(,-6(/ @6 9( 6+6 ) 6)6 +6+ /( -(=( -()*;6+ ) +,?((-,+ 9( ()*6 ,) 6 *=(+>6 -( -37(*+, +(9(+-,8 6)9( 6+6 )(/*+6 76*+ /( 66) 6)*-6-(/ -( 767,/*(+>6 6+6 ( 6)6 +6+. •
2.,on,*eto t*'o: (/*6 (-6 ),/ )-6 6 6)*-6- -( ,)+(*, () 7(*+,/ =,/8 / ( 9( (/*67,/ (?66)-, (/ ) 6)6 +6+ () (/*6 ,7)6 ),/ )-6 (++,+ !7.')o&te*': (/*6 (-6 ),/ )-6 6 6)*-6- -( )-6-(/ -( 767,/*(+>68 ,+ , <()(+6 6 767,/*(+>6 /( (7(6 6+6 6)6(/ +6+(/8 (/ -(+ 9( / (/,<(7,/ ) 6)6 +(*6)<6+ , *+6(,-6 () (/*6 ,7)6 ),/ -6+3 (++,+. [:),/ )-6 ( ,(;()*( -( +<,/-6- -( M6)))<8 ( 6 , ,-(7,/ -(*(+7)6+ () ( )neo % -( +(/()*( *+6=6,. •
!1.R$t'# )-6 6 +*6 -( ?6,+ -( ,(;()*( 9( *,767,/8 (/*6 +*6 -(()-( -( *, -( 6)6 @ / -(/+)8 ,) (/*6/ 6+6*(+>/*6/ )<+(/67,/ () ( 6)(, ! @ ?67,/ /<()-, 6/ 6+6*(+>/*6/ -( )(/*+, 6)6 6/*6 (<6+ 6 ;)68 (/*( -6*, /( )<+(/6 76)6 6 6 76*+ -( /7=,,<>6.
!2. V'(o*# )-6 ( ?6,+ -( -( ,(;()*( /(<-, ,+ 6 +*6 *+66-68 ,+ , <()(+6 /( +(,7()-6 *,76+ ,/ ?6,+(/ /=+6@6-,/ () )(<+6. PROPIEDADES HIDRÁULICAS: E/*6/ +,(-6-(/ /,) -( 6/ +(;(+-6/ 6 -/(1, -( ) 6)6 ;)6 @ ,*76-,8 •
!!.B )-6 6 =6/( -( ) 6)6 +(*6)<6+ , *+6(,-6 @6 -(;)-68 / () 6 ,7)6 $! /( )-6 9( (/ ) 6)6 +6+ () (/*6 -7()/) 66+(( NA8 (/*6 -7()/) @6 7( ,) ,/ 6+37(*+,/ -( (/=(*( (/ ), (-, +(?/6+ (/*6/ -7()/,)(/ 6/*6 ), ?(+;6+ 9( () 6 ,7)6 20 7 -/(1, 7(. !3.#)-6 ( -37(*+, -( ) 6)6 +6+8 / () 6 ,7)6 $! /( )-6 9( (/ ) 6)6 +6+ (/( *+6(+3 ( -6*, -( +( -7()/,)67()*, +(66-, +(?67()*(8 / /( )-6 ,*+, *, -( 6)6 () (/*6 -7()/) 66+(( NA8 (/*6 -7()/) @6 7( ,) ,/ 6+37(*+,/ -( (/=(*( (/ ), (-, +(?/6+ (/*6/ -7()/,)(/ 6/*6 ), ?(+;6+ 9( () 6 ,7)6 20 7 -/(1, 7( !5.# )-6 ( *6- -( ) 6)6 +6+8 / () 6 ,7)6 $! /( )-6 9( (/ ) 6)6 *+6(,-6 (/( *+6(+3 ( -6*, -( *6- /((,)6-, () ( +( -7()/,)67()*, +(66-, +(?67()*(8 / /( )-6 ,*+, *, -( 6)6 () (/*6 -7()/) 66+(( NA8 (/*6 -7()/) @6 7( ,) ,/ 6+37(*+,/ -( (/=(*( (/ ), (-, +(?/6+ (/*6/ -7()/,)(/ 6/*6 ), ?(+;6+ 9( () 6 ,7)6 20 7 -/(1, 7( !. Y# )-6 6 6*+6 -( 6 37)6 -( 6<68 (/*6 6*+6 ()*6 ,) ,/ +*(+,/ -( (/=(*( @ -( =,+-( =+(. !.A# (/ ) ((7()*, <(,7*+, -( 6 /() -( ) 6)68 )-6 ( 3+(6 -( 6)68 /( ()*()-( ,7, 6 /(+;( 9( ,6 ( 6<6 () )6 /() (+()-6+ 6 ;,8 (/*6 /() (/*3 -(;)-68 () 6 6+*( /(+,+ ,+ 6 >)(6 -( 6<68 @ () 6 6+*( );(+,+ ,+ ( 6)6 7/7, (/*( ?6,+ , ,=*()(7,/ 6 6+*+ -( 6/ ,(+6,)(/ -(/+*6/ () ( 6)(, $ -( +(/()*( -,7()*,. !:.# (/ ) ((7()*, <(,7*+, -( 6 /() -( ) 6)68 )-6 ( (+>7(*+, 7,6-, -( 6)68 ( (+>7(*+, 7,6-, FP (/ 6 ,)<*- -( 6 >)(6 -( 6 )*(+/() -( 6 /(+;( 7,6-6 -( 6)6 ,) 6 /() *+6)/?(+/6 ),+76 6 6 -+() -( ;,8 (/ -(+ (/ ( ,)*,+), -( 6)6 9( (/*3 () ,)*6*, ,) ( 6<6 (/*( ?6,+ , ,=*()(7,/ 6 6+*+ -( 6/ ,(+6,)(/ -(/+*6/ () ( 6)(, $ -( +(/()*( -,7()*, !. R: (/ ) ((7()*, <(,7*+, -( 6 /() -( ) 6)68 )-6 ( +6-, -+3, -( 6)68 ( 6 (/ 6 +(6) ()*+( ( 3+(6 7,6-6 @ ( (+>7(*+, 7,6-,8 (/*( ?6,+ , ,=*()(7,/ 6 6+*+ -( 6/ ,(+6,)(/ -(/+*6/ () ( 6)(, $ -( +(/()*( -,7()*, 37.T# (/ ) ((7()*, <(,7*+, -( 6 /() -( ) 6)68 )-6 6), /(+;6 -( 6)68 ( 6 (/ ( 6), -( 6 /() -( 6)6 () 6 /(+;( =+(8 (/*( ?6,+ , ,=*()(7,/ 6 6+*+ -( 6/ ,(+6,)(/ -(/+*6/ () ( 6)(, $ -( +(/()*( -,7()*, 31.D# (/ ) ((7()*, <(,7*+, -( 6 /() -( ) 6)68 )-6 6 +,;)--6-+36 -( 6)68 ( 6 (/ 6 +(6) -( 3+(6 7,6-6 ,) ( 6),
/(+,+8 (/*( ?6,+ , ,=*()(7,/ 6 6+*+ -( 6/ ,(+6,)(/ -(/+*6/ () ( 6)(, $ -( +(/()*( -,7()*, 32.# (/ ) ((7()*, <(,7*+, -( 6 /() -( ) 6)68 )-6 ( ;6*,+ -( /() -( 6)68 (/*( ?6,+ , ,=*()(7,/ 6 6+*+ -( 6/ ,(+6,)(/ -(/+*6/ () ( 6)(, $ -( +(/()*( -,7()*, EVALUACIÓN CINEMÁTICA
•
3!.V# (/ 6 ?(,-6- -( M6)))<8 6 6 /( 66 ,7, /( )-6 () )7(+6 .$.$ -( +(/()*( *+6=6,8 6 *()(+ *,-,/ ,/ 6)*(+,+(/ -6*,/ ,++(*,/ 6 76*+ ),/ 66 6*,73*67()*( (/*( ?6,+. 33.VC# (/ 6 ?(,-6- -( C(@ 66-6 ,+ ( 7*,-, 6)6>*, -( G6)<(* 6)- **(+8 6 6 /( 66 ,7, /( )-6 () )7(+6 .$.2 -( +(/()*( *+6=6,8 6 *()(+ *,-,/ ,/ 6)*(+,+(/ -6*,/ ,++(*,/ 6 76*+ ),/ 66 6*,73*67()*( (/*( ?6,+. 35.V oe(# (/ 6 ?(,-6- -( C(@ 66-6 ,+ ( 7*,-, -( P,(8 6 6 /( 66 ,7, /( )-6 () )7(+6 .$.2 -( +(/()*( *+6=6,8 6 *()(+ *,-,/ ,/ 6)*(+,+(/ -6*,/ ,++(*,/ 6 76*+ ),/ 66 6*,73*67()*( (/*( ?6,+. 3.E oe(: (/ ( ,(;()*( 9( -(()-( -( *, -( 66=6-, @ -( 6 (-6- -( 6)6 (/*( /( (-( ,)/*6+ () ( A)(, N,.5 -( +(/()*( *+6=6,. 3.V V& VC# (/ 6 ,76+6) -( 6 ?(,-6- -( M6)))< 66-6 () 6 ,7)6 )7(+, 4! @ 6 ?(,-6- -( C(@ 66-6 () 6 ,7)6 )7(+, 448 ( (++,+ ()*+( (/*6/ -,/ ), (-( /(+ /(+,+ 6 $8 6+6 )(/*+, +,@(*, ,-(7,/ ?(+;6+ (/*6/ ,76+6,)(/ () 6/ *6=6/ 5 @ # 6+6 ( 6)6 +(*6)<6+ @ +6+ +(/(*?67()*(. 3:.V V& V)oe(# (/ 6 ,76+6) -( 6 ?(,-6- -( M6)))< 66-6 () 6 ,7)6 )7(+, 4! @ 6 ?(,-6- -( C(@ 66-6 ,) ( ,(;()*( -( P,( () 6 ,7)6 )7(+, 458 ( (++,+ ()*+( (/*6/ -,/ ), (-( /(+ /(+,+ 6 $8 6+6 )(/*+, +,@(*, ,-(7,/ ?(+;6+ (/*6/ ,76+6,)(/ () 6/ *6=6/ 5 @ # 6+6 ( 6)6 +(*6)<6+ @ +6+ +(/(*?67()*(. 3.EE# )-6 6 ()(+<>6 (/(;6 6 6 (/ 6 ()(+<>6 ,+ (/, -( 6<6 () 69(+ /() -( ) 6)6 7(--, ,) +(/(*, 6 ;,)-, -( 7/7,8 6+6 ( 3, -( (/*6 ,7)6 -(=(7,/ ,),(+ 6 ?(,-6- -( M6)))< 66-6 () ,7)6 4!8 (/*6 ,7)6 /( ()()*+6 ;,+76-6 6+6 ,=*()(+68 /) (7=+6<, 6+ )(/*+, +,@(*, ,/ 3,/ ,/ ,-(7,/ ?/66+ () ( )7(+6 " 57."E# )-6 6 ;(+6 (/(;6 6 6 ),/ (+7*( (/*-6+ ( *+6)/,+*( -( 6)*-6- -( 7,?7()*, () 6 -+() 6+6(6 6 ;,)-, -( ) 6)6 ,) ;, (+76)()*( ( ),7+(/=(8 (/*6 ,7)6 /( ()()*+6 ;,+76-6 6+6 ,=*()(+68 /) (7=+6<, 6+ )(/*+, +,@(*, ,/ 3,/ ,/ ,-(7,/ ?/66+ () ( )7(+6 . •
•
ANALISIS DE ACABADOS
•
51. 't*-n# S( )-6 6 +*6 -( 66=6-, 9( /( ( -6+6 6 6)68 /( +(*( ( ,)*()-, -( 6 ,7)6 !$
52.C'ntid'd P%92# E/*6 ,7)6 (/*6 () ;)) -( ,(;()*( -( M6)))<8 6+6 (+*,/ +6)<,/ -( (/*( ,(;()*( /( *()( 6/<)6-, ) ?6,+ -( < -( (7()*, ,+ 72 5!.C'ntid'd P%9(# E/*6 ,7)6 /( 67()*6 -( 6 );,+76) ,)*()-6 () 6 ,7)6 5!8 6+6 (/*( 6/, /( 6 (, ) 6)3// -( 6)*-6- -( < -( (7()*, ,+ 7(*+, )(6 -( 66=6-, () ( 6)6 53.Co&to ! de ,on,*eto# E/*6 ,7)6 ,)*()( ( APU -( ,)+(*, +(;,+6-, ,) 76), -( ,=+6 @ (9, 55.Co&to ,on,*eto t*'o# E/*6 ,7)6 ,)*()( ( ?6,+ *,*6 -( ,)+(*, () ( *+67, 6)66-, 5.Co&to ','0'do& t*'o# E/*6 ,7)6 ,)*()( ( ?6,+ *,*6 -( 66=6-,/ ,) 76), -( ,=+6 @ 76*(+6(/ -( *+67, •
•
•
•
•
. VELOCIDADES •
.1
CANAL O#1V RECTANGULAR •
.1.1 VELOCIDAD DE MANNING L6 ?(,-6- -( M6)))< /( ,7,)( +)67()*( -( 2 +,(-6-(/ -+36/ 9( /,) ( +6-, -+3,8 6 ()-()*( -( 6)68 @ -( 66=6-, ;)6 -( 6/ 6+(-(/ -( 6)6 *67=) ,),-, ,7, ( ,(;()*( -( +<,/-6- -( M6)))< 8 6 ;+76 6+6 66+ 6 ?(,-6- -( M6)))< () ( S.I (/ 6 /<()*(: •
•
•
V7
$cuaci"n
D-nde#
- V V(,-6- -( M6)))< F7/ - S P()-()*( *,*6 -( 6)6 77 - R R6-, -+3, F7
- ɳ C,(;()*( -( +<,/-6- -( M6)))<8 (/*3 () ;)) -( 66=6-, -( 6/ 6+(-(/ -( 6)68 (/*,/ ?6,+(/ @6 /( ()()*+6) 6/<)6-,/ @ *6=6-,/ () 6 *6=6 ! ?(+ *6=6/ 6)(6/ 6 ;)6 -( -,7()*, H6=()-, @6 +(-7()/,)6-, ( 6)6 ,+ 6 7(*,-,,<>6 -( J.A.P8 (7,/ ,=*()-, *,-6/ 6/ +,(-6-(/ -+36/ )((/6+6/ 6+6 ,=*()(+ 6 ?(,-6-( M6)))< L6/ +,(-6-(/ -+36/ /,) 6/ /<()*(/
- R$80#7 - S0.02! - 0.0$5 ,) )6 +*6 BB2C28(/*6 +*6 6 ,=*()(7,/ -( )neo No. % ?2ablas del (oe!iciente de anning= R((766)-, () 6 (6) $.$ ,=*()(7,/ , /<()*(
•
V7
V 1779&
.1.2 VELOCIDAD DE CEY L6 ?(,-6- -( C(@ (/ 6 +7(+6 ;+76 -( ;+) 9( /( ,),(8 6+6 (?66+ 6 ?(,-6- -( C(@ /( -(=() -( ,),(+ 2 6+37(*+,/ -+3,/ -( 6)6 9( /,) ( +6-, -+3, () (/ @ 6 ()-()*( -( 6)68 6 -;(+()6 -( 6 ?(,-6- -( M6)))< /( -(=( ,=*()(+ ( ?6,+ -( C -( C(@ 9( 6+6 ( 6/, -( +,@(*, /( (?66+6) ,+ ! 7*,-,/ ,/ 6(/ /,):
- G6)<(* 6)- **(+ FG G+3;,8 ( 6 /( +(66 ,) ( )neo 5 ?*oluci"n @r-!ica de la $cuaci"n de @anguillet and Autter= - G6)<(* 6)- **(+ FG 6)6>*, - P,( L6 (6) <()(+6 -( 6 ?(,-6- -( C(@ (/ 6 /<()*(
•
•
V, C
$cuaci"n #
D-nde#
- R R6-, -+3, F%* - S P()-()*( -( 6)6
- C C -( C(@ Metodo(o%' KG4P> An'(ti,o P6+6 ,=*()(+ ( ?6,+ -( C -( C(@ (/ )((/6+, ,),(+ ( +6-, -+3, () ;*8 6 ()-()*( @ ( -( M6)))<8 6 ,),(+ (/*6/ +,(-6-(/ /( (-( 6(+ /, -( 6 /<()*( ;,+76 •
, •
C 41,65 +
√ R
S
1 +¿ 0,00281 1,811 S
+
ɳ •
$cuaci"n 1#
L6/ +,(-6-(/ -+36/ /,) 6/ /<()*(/
•
- R!84" ;* - S0.02! - 0.0$5 ,) )6 +*6 BB2C2 •
•
R((766)-, () 6 ecuaci"n 1# ,=*()(7,/ , /<()*(
•
, •
C 41,65 +
0,0237 √ 3.49 1 +¿ 0,00281 1,811 0,0237
+
C1217
0,015
H6=()-, ,=*()-, ( ?6,+ -( C ,+ 6 7(*,-,,<>6 FG A)6>*, +,(-(7,/ 6 +((766+ (/*( ?6,+ () 6 (6) $82 •
•
V, $2$80
V, !5"t9& •
P6+6 ,-(+ ,76+6+ 6 ?(,-6- -( C(@ ,+ ( 7*,-, -( FG /( -(=( +(66+ 6 ,)?(+/) +(/(*?6 6 S.I V, 179&
Metodo(o%' De oe(( T67=) ,),-6 ,7, 6 (6) ,<6+>*76 6+6 6 +<,/-6- -( 6)6(/ 6+*;6(/ P6+6 ,=*()(+ ( C -( C(@ ,+ (/*6 7(*,-,,<>6 /( -(=( ,),(+ ( +6-, -+3, () %* @ ( P,( 9( (/*3 () ;)) -( *, -( 66=6-, @ -( 6 (-6-( 6)68 ,/ ?6,+(/ 9( (-( *,76+ @6 /( ()()*+6) *6=6-,/ @ (-() /(+ ,)/*6-,/ () ( )neo No. 6 6 ;)6 -( (/*( -,7()*,. •
L6 (6) 6+6 ,=*()(+ ( ?6,+ -( C (/ 6 /<()*(
•
•
C 42 L,
•
D-nde#
- R R6-, H-+3, L6/ +,(-6-(/ -+36/ /,) 6/ /<()*(/
•
- R!84" ;* - S0.02! - 0.004 FC6)6(/ )(?,/ +(?(/*-,/ () ,)+(*, R((766)-, () 6 ecuaci"n 1% ,=*()(7,/ , /<()*( • •
•
C 42 L,
C=123.51
H6=()-, ,=*()-, ( ?6,+ -( C ,+ 6 7(*,-,,<>6 -( P,( +,(-(7,/ 6 +((766+ (/*( ?6,+ () 6 (6) $82 •
V, $2!85$
•
V !5852%*/ •
P6+6 ,-(+ ,76+6+ 6 ?(,-6- -( C(@ ,+ ( 7*,-, -( P,( /( -(=( +(66+ 6 ,)?(+/) +(/(*?6 6 S.I V, 17:!9& •
.1.! COMARACIÓN DE VELOCIDADES •
V oe(( V, K9&> KG4P>
M K9&>
V o )oe( K9&> e((
•
$08 0
•
$08#
•
$08!
•
8
004
V& V,
08
•
2#
V& V)oe((
•
082!
2abla No. 6 (omparaci"n de velocidades canal rectangular
.2
CANAL 89: CIRCULAR •
.2.1 VELOCIDAD DE MANNING H6=()-, @6 +(-7()/,)6-, ( 6)6 ,+ 6 7(*,-,,<>6 -( J.A.P8 (7,/ ,=*()-, *,-6/ 6/ +,(-6-(/ -+36/ )((/6+6/ 6+6 ,=*()(+ 6 ?(,-6-( M6)))< •
L6/ +,(-6-(/ -+36/ /,) 6/ /<()*(/
•
- R$80$7 - S0.02! - 0.0$2 ,) )6 +*6 BB2C28 (/*6 +*6 6 ,=*()(7,/ -( )neo No. % ?2ablas del (oe!iciente de anning= •
V7
V 12:9&
• •
.2.2 VELOCIDAD DE CEY Metodo(o%' KG4P> L6/ +,(-6-(/ -+36/ /,) 6/ /<()*(/
•
- R!8!$ ;* - S0.02! - 0.0$2 ,) )6 +*6 BB2C2 R((766)-, () 6 (6) $.! ,=*()(7,/ , /<()*(
•
, •
C 41,65+
0,0237 √ 3.31 C$5082! 1 +¿ 0,00281 1,811 0,0237
+
0,012
H6=()-, ,=*()-, ( ?6,+ -( C ,+ 6 7(*,-,,<>6 FG A)6>*, +,(-(7,/ 6 +((766+ (/*( ?6,+ () 6 (6) $82 •
•
V, $5082!
V, 32.7"t9& •
P6+6 ,-(+ ,76+6+ 6 ?(,-6- -( C(@ ,+ ( 7*,-, -( FG /( -(=( +(66+ 6 ,)?(+/) +(/(*?6 6 S.I V, 12:9& •
Metodo(o%' Koe((> N, 66 -(=-, 6 9( ), 6@ ?6,+(/ -( 6/<)6-,/ 6 6)6(/ -( ,);,+76) +6+ •
.2.! CUADRO COMARATIVO DE VELOCIDADES
V oe(( M K9&> $
•
28
, K9&> KG4P>
$28
•
V )oe( K9&> •
NA
V& V,
oe(( •
NA
•
080
5
V V& V)oe(
•
2abla No. 7 (omparaci"n de velocidades canal circular •
. ENERG=A ESECI"ICA E/ 6 ()(+<>6 ,+ (/, -( 6<6 () 69(+ /() -( ) 6)6 7(--, ,) +(/(*, 6 ;,)-, -( 7/7,8 +(?67()*( /( -(=( ,),(+ 6 ?(,-6- -( M6)))<8 6 (6) 6+6 ( 3, (/ 6 /<()*(
•
EEY\ ]
$cuaci"n 15
D-nde#
-
Y, A*+6 -( 6 37)6 -( 6<6 F7 Q C,(;()*( -( C,+,/ /( *,76 $ ,7, ?6,+ 6-,*6-, V V(,-6- -( M6)))< () ( S.I % A((+6) -( 6 <+6?(-6• • •
.1
CANAL O#1V RECTANGULAR L,/ -6*,/ -( ()*+6-6 /,) ,/ /<()*(/
- V7$0807/ - Y28 •
R((766)-, () 6 (6) $4 ,=*()(7,/ , /<()*(:
NA
•
.2
EE28\ $
EE :7
CANAL 89: CIRCULAR L,/ -6*,/ -( ()*+6-6 /,) ,/ /<()*(/
- V7$287/ - Y28"2 •
•
R((766)-, () 6 (6) $4 ,=*()(7,/ , /<()*(
•
•
EE28"2\ $
EE 11.!
• •
:. "UERA ESECI"ICA P6+6 (/*-6+ ( *+6)/,+*( -( 6)*-6- -( 7,?7()*, () 6 -+() 6+6(6 6 ;,)-, -( ) 6)6 ,) ;, (+76)()*( ( ),7+(/=(8 /( ,)/-(+6 ) ?,7() -( ,)*+,8 L6 ;+76 6+6 ( 3, (/ 6 /<()*(: •
•
%E
+ ZA
$cuaci"n 16
Donde
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. MÉTODO DE VILLÓN CANALES C'n'( 7# 1V Re,t'n%$('* P6+6 ,-(+ +(-7()/,)6+ () (/*( /,;*6+( =6/*6 ,) ,),(+ ( C6-6 -( -/(1, -( 6)68 6+6 ( -(/6++,, -( )(/*+, +,@(*, ()*+67,/ -( 6(+-, ,) ( /<()*( +,(-7()*,: •
$. ()*+67,/ ,+ *+6)*( ),+76. 2. /((,)67,/ /() -( 7376 (;()6 !. I)<+(/67,/ )(/*+,/ -6*,/ -( ()*+6-6 /,) ,/ /<()*(/ •
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Imagen No. 5 >esultados obtenidos en '(anales
C'n'( 89: Ci*,$('* N, /( (-( (?66+ ,+ (/*6 7(*,-,,<>6 @6 9( 6 /() -( 7376 (;()6 ), ()*6 ,) 6 ,) -( 6)6(/ +6+(/ •
COMARACIÓN METODOLOG=A J.A. Y VILLÓN K CANALES> CANAL 7#1V RECTANGULAR JA
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2abla No. 8 comparaci"n metodología <)& y '()N)L$* /ILLBN N, ,-+>67,/ (/(+6+ 9( (/*6 ,76+6) ),/ -(+6 -;(+()6/ 7>)76/8 (/ JAP 7( ),/ +*(+,/ -( (/=(*( -( V) ), ,),( @ ( HC6)6(/ (/*3 *+6=66)-, 6 7376 (;()6 •
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17.DISE6O ESTRUCTURAL. i)-te&i& de ,'*%' ,'n'( 7# 1V Re,t'n%$('* C,7, +(/*6-, -( +( -7()/,)67()*, ,+ 6 7(*,-,,<>6 -( J.A.P /( ,=*?, 6 /<()*( /() *+6)/?(+/6 •
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Imagen No. 6 secci"n trasversal canal rectangular P6+6 6 *(// -( 6+<6 /( *,7 6 6+<6 -( 6 ,/6 );(+,+ ,7, )6 6+<6 -/*+=-68 6/ 6+<6/ -( ,/ ?3/*6<,/ ,7, 6+<6/ )*6(/8 6 6+<6 9( <()(+6 ( 6<6 /( *,7 ,7, )6 6+<6 )*6 () ( ()*+, -( 6)68 6 -()/-6- -( ,)+(*, /( *,7 ,7, 24N7! @ 6 -( 6<6 ,7, "8$N7! •
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L6/ 6+<6/ <()(+6-6/ ;(+,) 6/ /<()*(/:
- L,/6 );(+,+: $080 N7 - V3/*6<,/: 2"8!##4 N ,+ 6-6 ?3/*6<, - A<6: "58$# N •
- Imagen 7 E (/9(76 -( 6 ?<6 6+<6-6 /( 7(/*+6 6 ,)*)6)
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- Imagen 8 > (6,)(/ /,) 6/ /<()*(/ () ( 6)6
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- Imagen 9 + 6<+676 -( ,+*6)*( (/ ( /<()*(
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- Imagen : D6<+676 -( 7,7()*, (/ ( /<()*(
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NotaC
$stos diagramas !ueron obtenidos por medio del programa *);
11. CANTIDADES Y RESUUESTO •
C'n'( 7# 1V R%ido •
L6/ 6)*-6-(/ -( ,)+(*, /( ,=*?(+,) 7*6)-, ( 3+(6 *+6/?(+/6 -( 6)6 ,+ 6 ,)<*- *,*6 () ,+*(. E APU 9( /( 7(/*+6 6 ,)*)6) ;( ,=*()-, -( 6 +(?/*6 ,)/*+-6*6 -,)-( /( 6+(6 ) -(/<,/( -(*66-, -( ,/*, 9( +(+(/()*6 ;)-+ 6-6 7! -( ,)+(*, -( 6)68 ,),()-, (/*( APU /7(7()*( 7*67,/ ,+ ( ?,7() *,*6 -( 6)6 @ ,=*()(7,/ ( +(, -( ,)+(*, •
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L6/ 6)*-6-(/ -( 66=6-,/ +(6, ) (/*76-, 6+,76-, -( APU8 ,7, ,),(7,/ 6 6)*-6- -( < -( (7()*, ,-(7,/ ,=*()(+ ( )7(+, -( =*,/ -( (7()*, -( )6 -(*(+7)6-6 76+68 6 76+6 9( /((,)67,/ ;( (7()*, A+<,/ -( 40 < 6 ^45"00 6-6 =*, -( (7()*,8 6 (/*( ?6,+ ( 6-,)67,/ 6 76), -( ,=+6 ,) ) ,/*, ,+ 72 -( ^$2.54"8" •
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12.CONCLUSIONES •
E/*() ?6+6/ 7(*,-,,<>6/ 6+6 ( -/(1, -( 6)6(/ E 7*,-, -( +,;(/,+ J3) A<++( P (/ /,, ) +(-7(/,)67()*, 6+6 ( -/(1, -( 6)6(/8 ( 6 6)*6 ,) 7*6)*(/. E /,;*6+( HCANALES -(/6++,6-, ,+ ( )<()(+, M37, V)8 *()( ?6+6/ ?()*66/ @ (+7*( -6+ +(/(/*6 6 +,=(76/ +(/()*6-,/ ,) ( -/(1, -( 6)6(/. 6/ ,76+6) ()*+( 6/ ?(,-6- -( M6)))< @ 6 ?(,-6- -( C(@ ,+ ,/ -;(+()*(/ 7*,-,/ +(;(6) )6 -;(+()6 7>)76. ), (/ ,/=( ,76+6+ ,/ -6*,/ ,=*()-,/ ,+ ( 7*,-, -( J3) A<++( P ,) ,/ -6*,/ ,=*()-,/ -( +,<+676 HCANALES8 (/ ( +7(+, /( -/(16 7()-, 6+37(*+,/ -( (/=(*(8 7()*+6/ 9( HCANALES 6+6 )(/*+, +,@(*, (/*3 -/(16)-, ,) 6 7376 (;()6 /) 7,+*6+ (/=(*( -( 6)6. E -/(1, (/*+*+6 ), /( (-( 66+ () 6)6(/ +6+(/ 6+6 (/*,/ 6)6(/ /( -(=( =/6+ ) +,?((-,+ 9( *()<6 ,/ +(9(+7()*,/ -( 6)68 (/*( +,?((-,+ ), (/*3 () ( 66)( -( -(/6++,, -( (/*( +,@(*,. L6 +(66) -( ) 6)6 (/ ,/*,/6 () +(6) ,) 6 +(66) -( )6 6++(*(+68 6)9( 6 6++(*(+6 /(6 73/ ,/*,/6 () 6 76@,+>6 -( 6/ ?((/8 ( ?6,+ -( 6 ,)/*+) -( 6)6 *67=) , (/ ,+ , 9( ,/ (/*-,/ -( 6 ;6*=-6- -( ) 6)6 () ) -(*(+7)6-, <6+ -(=( (/*6+ =() ,)(=-6 *()()-, () ()*6 ?6+,/ ;6*,+(/. • • • • • • • • • • •
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1!.BIBLIOGRA"=A • •
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A)*(/ -( C6/( M6*(+6 -( C6/( -( C6)6(/ /7)/*+6-, ,+ ( -,()*( %-( P6+-, H-+36 -( 6)6(/ A=(+*,/ ?() *( , MGRA'HILL H-+36 -( C6)6(/ J3) A<++( P H-+36 -( C6)6(/ M37, V) B(+6+ I)/***, T(),<, -( C,/*6 R6 E/(6 -( )<()(+>6 A<+>,6 V(,-6- -( M6)))<: **:;-,/.(6.(-.,-+666+*,/(/;,()6)6(/76)))<76)) )<.*7 V(,-6- -( M6)))< **:(/.(-6.,+<%C!B!+76_-(_M6)))< V(,-6- -( C(@: **:(/.(-6.,+<%C!B!+76_-(_C C!A"@ P+,<+676 HCANALES **:.)<()(+6+(+/,/-+,/.,7+,<+676/-/(,-( 6)6(/@(/*+*+6/-+6/6)6(/?!0 **:.+(-6@.,+<6+*,.,6`-$4"2$#!00# **:(/.(-6.,+<A)(,:D(;),)(/_/6(/_()_-+ C!A$6a.C!.$+(6_7,6-6 •
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13.LANOS • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • •
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15.ANE8OS • •
$. 2. !. 4.
TABLA DE SECCIONES BÁSICAS DE DISEO GRA%ICA PARA EL PRE DIMENSIONAMIENTO DE JULIAN AGUIRRE PÉ TABLAS DE COE%ICIENTE DE MANNING SOLUCIÓN GRA%ICA DE LA ECUACIÓN DE GANGILLET UTTER • • • • • • • • • • • • • • • • • • • • • • • • • •
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