rápidas y caídas 2013

8/13/2019 Rpidas y Cadas 2013

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ESTRUCRURAS HIDRAULICAS

Cadas y Rpidas Pgina 1

UNIVERSIDADSAN

PEDRO

ESTRUCTURAS HIDRULICAS

CADAS Y RPIDASDOCENTE:

ING.JARAREMIGIOFLOR

ALUMNOS:CARRINSNCHEZGILBER

JAVIERAGUILARBLANCA

POMACASTILLOKARINA

CONCOEDIN

HUARAZ ! NOVIEMBRE " #$%&


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CONTENIDO

1.1.RPIDAS..............................................................................................................5

4. PROCEDIMIENTO DEDISEO!!!!!!!!!!!!!!!!!!!!!!!.!..!!!1"

Cadas y Rpidas Pgina #


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5. CONSIDERACIONESHIDRULICAS!!!!!!!!!!!!!!!!!!!!!!.!!!..!1"

I$.

CA%DAS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

!..............#1

4.1.RESUMEN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!.!!!.!..!.#1

4.#.&ENERALIDADES!!!!!!!!!!!!!!!!!!!!!!!!!!!!!.!!!.!!...#1

a' DE(INICI)N DE CA%DAS!!!!!!!!!!!!!!!!!!!!!..!!!!!!..#1

*' ELEMENTOS!!!!!!!!!!!!!!!!!!!!!!!!!!!...!!!!..!!##

T+ansi,i-n d n/+ada

Cada n s

S,,i-n d ,0n/+0

,'(inaidad!!!!!!!!!!!!!!!!!!!!!!!!!!!!!...!!!!!!!#2

4.2. CA%DAS$ERTICALES!!!!!!!!!!!!!!!!!!!!!!!!!!!!!..!..!!.#2

4.2.1. CRITERIOS DE DISEO!!!!!!!!!!!!!.!!!!!!!!!!!..!..#2

4.4. CRITERIOS DE DISEO DE UNACA%DA!!!!!!!!!!!!!!!!!!!!..!..!#3

4.5. CA%DAS $ERTICALES CON OSTCULOS PARA ELCHOUE!!!!!!!!!!!..#6

4.3. PROCEDIMIENTO PARA EL DISEO DE UNA CA%DA SINOSTCULO!!!..!!.#6

$. 7USTI(ICACI)N!!!!!!!!!!!!!!!!!!!!!!!!!!!.!!!!!!!!!!.#"

$I. CONCLUSI)N!!!!!!!!!!!!!!!!!!!!!!!..!!!!.!!!!!!!!!!.#"



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INTRODUCCIN

E p+sn/ /+a*a80 s 9a +ai:ad0 ,0n a ;inaidad d ,0n0,+< ,0n,p/0

d +pidas y ,adas< s=s ,a+a,/+s/i,as p+in,ipas< /ip0s< ,0>p0nn/s0 +ai:a+ =n dis@0 9id+=i,0.

Las +pidas s =san ,=and0 a di;+n,ia d a/=+a s >ay0+ a 4/+0s y ag=a s /+ansp0+/ada =na a+ga dis/an,ia y a 0 a+g0 d pndin/s =



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p=dn s+ >n0s >pinadas = as d ,adas p+0 0 s=;i,in/ ,0>0

pa+a >an/n+ a ?0,idad s=p+,+/i,a.

E dsa++00 d s/ /+a*a80 s d in?s/iga,i-n s=p0n a s0=,i-n a

p+0*>a d ,adas a*+=p/as >dian/ +pidas ,0>0 >n/0s d na,

n/+ d0s /+a>0s d ,ana ,0n di;+n,ia d ,0/as ap+,ia*s n 0ngi/=ds

,0+/as< n d0nd n0 s api,a* a ,=a,i-n d Manning. En /a sn/id0B/0d0s is/n/s n dis@0

9id+=i,0 d +pidas< a = s 9a +;0+:ad0 >dian/ >p0 d a

908a d ,,=0 pa+a p+0,sa>in/0 d da/0s y a 0*/n,i-n d 0s

g+;i,0s +=+id0s.

I. RESUMENE7ECUTI$O

%.%. RPIDAS

Las +pidas ,9=/s' s0n =sadas pa+a ,0nd=,i+ ag=a dsd =na ?a,i-n

>ay0+ a =na >s *a8a. La s/+=,/=+a p=d ,0nsis/i+ d =na n/+ada0 in,inad0< =n disipad0+ d n+ga y =na /+ansi,i-n d sa1ida.

E /+a>0 in,inad0 p=d s+ =n /=*0 0 =na s,,i-n a*i+/a. Las +pidas

s0n si>ia+s a 1as ,adas< ,p/0 = as /+ansp0+/an ag=a s0*+dis/an,ias >s a+gas< ,0n pndin/s >s s=a?s y a /+a?Bs d

dis/an,ias >s 1a+gas.



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La pa+/ d a n/+ada d a s/+=,/=+a /+ansi,i0na ;=80 dsd ,ana

ag=as a++i*a d 1a s/+=,/=+a 9a,ia /+a>0 in,inad0. D* p+0?+ =n

,0n/+0 pa+a i>pdi+ a a,+a,i-n d1 ag=a y a +0si-n n ,ana. E

,0n/+0 s 0g+ad0 p0+ a ,0>*ina,i-n d =na +/n,i-n y =n ?+/d+0n a n/+ada. La n/+ada =sada d*+a s+ si>B/+i,a ,0n +sp,/0 a

8 d 1a +pida< p+>i/i+ ps0 d a ,apa,idad /0/a d ,ana ag=as

a++i*a 9a,ia a +pida ,0n 1 /i+an/ n0+>a d ag=as a++i*a< y d0nd

sa +=+id0< p+>i/i+ a ?a,=a,i-n d as ag=as d ,ana ,=and0 a

0p+a,i-n d a +pida sa s=spndida. D*+a /n+ =@as pa+a p+0?+

=na s=;i,in/ 0ngi/=d d ,a>in0 d p+,0a,i-n< ,a,=ad0 sgn

>B/0d0 d LANE.Las pB+didas d ,a+g0 a /+a?Bs d a n/+ada p0d+an s+ dsp+,iadas

n ,as0 = san 0 s=;i,in/>n/ p=@as = n0 a;,/n

+s=/ad0 ;ina. D 0/+a >an+a< as pB+didas a /+a?Bs d a n/+ada

d*+an s+ ,a,=adas y =sadas n a d/+>ina,i-n d ni? d

n+ga n ini,i0 d /+a>0 in,inad0. Si a pndin/ d ;0nd0 d

a n/+ada s s=a? p=d as=>i+s =a ;=80 ,+/i,0 0,=++ d0nd a

pndin/ s s=a? p=d as=>i+s = ;=80 ,+/i,0 0,=++ d0nd a

pndin/ s=a? d a n/+ada ,a>*ia a a pndin/ >s ;=+/ d

/+a>0 in,inad0. En ,as0 = a pndin/ d a n/+ada sa

s=;i,in/>n/ p+0n=n,iada pa+a s0p0+/a+ =na ?0,idad >ay0+ =a a

?0,idad ,+/i,a< d*+a ,a1,=1a+s di,9a ?0,idad y /i+an/

,0++sp0ndin/s< pa+a d/+>ina+ a g+adin/ d n+ga a ini,i0 d

/+a>0 in,1inad0.

II. O47ETI$OSF

Rai:a+ dis@0 9id+=i,0 d =na +pida.

Op/i>i:a+ dis@0 9id+=i,0 pa+a 0*/n+ =na s/+=,/=+a ,0n->i,a y

;=n,i0na. Man/n+ /+a:0 y ,a?a,i-n d =na ,ana< p+>i/ind0 a ,0ni-n d

0s /+a>0s n /0da s= 0ngi/=d >dian/ a ,0ns/+=,,i-n d +pidas.



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P+0p0+,i0na+ a P+0y,/is/a =na ;=n/ d in;0+>a,i-n = si+?a d g=a

pa+a dis@a+ ;i,in/>n/ di,9a s/+=,/=+a.

#.%. OBJETIVOGENERAL

+inda+ a a=>n0 0s ,0n0,i>in/0s *si,0s< /-+i,0s d =na +pida.

C0n0,+ >s s0*+ dis@0 s/+=,/=+a d +pidas.

#.#. OBJETIVOESPECFICO

Ap+nd+ = s y pa+a =B si+? =na +pida.

Es/=dia+ ;=n,i0na>in/0 d =na +pida.

C0n0,+ 0s di;+n/s /ip0s y pa+/s d =na +pida.

Rai:a+ ,,=0s pa+a di>nsi0na+ 9id+=i,a>n/.

III. MARCO TERICO

&.%. DEFINICIN

Las +pidas s0n s/+=,/=+as = si+?n pa+a na:a+ d0s /+a>0s d =n

,ana d0nd is/ =n dsni? ,0nsid+a* n =na 0ngi/=d +a/i?a>n/,0+/a.



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&.#. F'()*'+)+

S dis@an pa+a E?i/a+' gn+a+ pB+didas 9id+=i,as i>p0+/an/s

n 0s ;=80s d a/a ?0,idad. E 0*8/i?0 s +d=,i+ a ?0,idad

y pasa+ ;=80 d +Bgi>n s=p+,+/i,0 a s=*,+/i,0.

&.&. CONSIDERACIONES DE DISE,O

1. C0;i,in/ d +=g0sidad d Manning

En ,,=0 d as ,a+a,/+s/i,as d ;=80 n =na s/+=,/=+a d s/

/ip0 s0n =sad0s ?a0+s ,0ns+?ad0+s d ,0;i,in/ d+=g0sidad d Manning Gn. C=and0 s ,a,=a a a/=+a d >=+0s

n =na +pida d ,0n,+/0< s as=> ?a0+s d n J.J14 y n

,,=0 d ni?s d n+ga ?a0+s d n J.J1J.

#. T+ansi,i0ns

Las /+ansi,i0ns n =na +pida a*i+/a< d*n s+ dis@adas pa+a

p+?ni+ a ;0+>a,i-n d 0ndas. Un ,a>*i0 *+=s,0 d s,,i-n< sa,0n?+gn/ 0 di?+gn/< p=d p+0d=,i+ 0ndas = p0d+an

,a=sa+ p+/=+*a,i0ns< p=s/0 = as ?ia8an a /+a?Bs d /+a:0

in,inad0 y disipad0+ d n+ga. Pa+a ?i/a+ a ;0+>a,i-n d

0ndas< a ,0/angn/ d ng=0 d d;i-n d a s=p+;i,i d

ag=a n pan0 d pan/a dsa++0ad0 d ,ada ad0 d =na

/+ansi,i-n n0 d*+a s+ >n0+ =

2.2665 ?,s n>+0 d (+0=d ('. Es/a +s/+i,,i-n s0*+ng=0s d d;i-n s api,a+a pa+a ,ada ,a>*i0 d s,,i-n

9,9a n a n/+ada< n /+a>0 in,inad0 0 n a p0:a

disipad0+a. Si s/a +s/+i,,i-n n0 ,0n/+0a ng=0 d d;i-n<

>i>0 ng=0 d d;i-n d a s=p+;i,i d ag=a n a

/+ansi,i-n d n/+ada p=d s+ ap+0i>ada>n/ 2JK. E ng=0

d a s=p+;i,i d ag=a ,0n 8 n a /+ansi,i-n d saida p=d

s+ ap+0i>ada>n/ #5K ,0>0 >i>0. E >i>0 ng=0 dd;i-n s ,a,=ad0 ,0>0 sig=F

Cadas y Rpidas Pgina "


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DONDEF

d Ti+an/ d ag=a n0+>a a pis0 d a +pida =sand0 d +ad a s,,i-n an,90 s=p+i0+ d a s,,i-n

g A,+a,i-n d a g+a?dad ."1 >sg#< 0 sa

2#.# pissg#'

Un ;a,/0+ d a,+a,i-n< d/+>inad0F

C0n pis0 d a /+ansi,i-n n =n pan0 J

C0n pis0 d a /+ansi,i-n n =na ,=+?a ,i+,=a+F

Con el piso de la transicin en una curva parablica:

E G+a= 0; R,a>a/i0n i>i/a ?a0+ d 9as/a =n >i>0 d

J.5< pa+a asg=+a+ =na p+si-n p0si/i?a s0*+ pis0.

P=d s+ =sad0 p+0>di0 d 0s ?a0+s d ( n ini,i0 y

;ina d a /+ansi,i-n.

En 2' y4'F

9? ,a+ga d ?0,idad n 0+ign d a

/+ay,/0+ia a'

LT L0ngi/=d d a /+ay,/0+ia >'

R +adi0 d ,=+?a/=+a d

pis0 >'

$ ?0,idad n p=n/0 = s/ sind0,0nsid+ad0 >sg'

- ng=0 d a g+adin/ d pis0 n p=n/0 = s/ sind0Cadas y Rpidas Pgina


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,0nsid+ad0

QL - ng=0 d a g+adin/ d pis0 n ini,i0 d a /+ay,/0+ia P

Q0 - ng=0 d a g+adin/ d pis0 n ;ina d a /+ay,/0+ia L

E ng=0 a,a>panad0 y 0s an,90s pa+a ?a+i0s p=n/0s a 0 a+g0 d

a /+ansi,i-n p=dn s+ ,a,=ad0s y /+a:ad0s. Una ,=+da = s

ap+0i> a a ,=+?a /-+i,a p=d s+ di*=8ada pa+a d/+>ina+

a,a>pa>in/0 a s+ =sad0. Li>i/and0 ng=0 d a,a>pa>in/0

n =na /+ansi,i-n d n/+ada< s >ini>i:a a p0si*iidad d

spa+a,i-n y ini,i0 d ;=80 p=san/ n a=a pa+/ d a

s/+=,/=+a.

Las /+ansi,i0ns d n/+ada asi>B/+i,as y ,a>*i0s d aina>in/0s

in>dia/a>n/ ag=as a++i*a d a s/+=,/=+a< d*n ?i/a+s

p0+= p=dn p+0d=,i+ 0ndas ,+=:adas 0 ;=80 /+ans?+sa =

,0n/in=a+ n /+a>0 in,inad0.

2. T+a>0

in,inad0

La s,,i-n =s=a pa+a =na +pida a*i+/a s +,/ang=a+< p+0 as

,a+a,/+s/i,as d ;=80 d 0/+as ;0+>as d s,,i-n< p+0 as

,a+a,/+s/i,as d ;=80 d 0/+as ;0+>as d s,,i-n< d*n s+

,0nsid+adas d0nd a s=p+si-n d 0ndas s =na i>p0+/an/ pa+/

d dis@0. La ,0n0>a y ;a,iidad d ,0ns/+=,,i-n s0n si>p+

,0nsid+adas n a ,,i-n d =na s,,i-n. C=and0 s n,sa+i0

in,+>n/a+ a +sis/n,ia d /+a>0 in,inad0 a dsi:a>in/0< s

=san G=@as pa+a >an/n+ a s/+=,/=+a dn/+0 d a ,i>n/a,i-n.

Pa+a +pidas >n0+s d > 2J pis' d 0ngi/=d< a ;+i,,i-n n a

+pida p=d s+ dsp+,ia*. La ,=a,i-n d +n0=i s =sada

pa+ a ,a,=a+ as ?a+ia*s d ;=80 a ;ina d /+a>0 in,inad0.

La ,=a,i-nF

Es +s=/a p0+ /an/0. La dis/an,ia : s ,a>*i0 n a ?a,i-n

d pis0. Pa+a /+a>0s in,inad0s d 0ngi/=d >ay0+ d > pis'0 ag=as a++i*a d /+a>0 >'

9?1 Ca+ga d ?0,idad n /+>0 ag=as a++i*a d /+a>0 >'

d# Ti+an/ n /+>0 ag=as a*a80 d /+a>0 >'

9?# Ca+ga d ?0,idad n /+>0 ag=as a*a80 d /+a>0 >'

L Can/idad 9? s a p+dida p0+ ;+i,,i-n n /+a>0 y s ig=a a

a pndin/ d ;+i,,i-n p+0>di0 Sa n /+a>0< >=/ipi,ad0 p0+

a 0ngi/=d d /+a>0 L. E ,0;i,in/ n d Manning s as=>id0 nJ.J1J. La pndin/ d ;+i,,i-n S; n =n p=n/0 d /+a>0 in,inad0

s ,a,=ad0 ,0>0F

D-ndF

R Radi0 9id+=i,0 d /+a>0 in,inad0 >'.

Usand0 a ,=a,i-n 5' 0 a 3'< s as=> Sa y s ,a,=an y

,0>pa+an 0s ni?s d n+ga. D*n 9a,+s /an/0s

adi,i0nas 9as/a *aan,a+ 0s d0s ni?s d n+ga.

O/+a ;0+>a d a ,=a,i-n n = a ;+i,,i-n s ,0nsid+ada sF

!!! 6'

D-ndF

Ss Pndin/ d ;+i,,i-n p+0>di0

S; Pndin/ d ;0nd0 d /+a>0 in,inad0

Usand0 a ,=a,i-n 6'< s =sa =n p+0,di>in/0< n ,=a s

as=>n p=@0s ,a>*i0s d n+ga y s ,a,=

,0++sp0ndin/ ,a>*i0 n 0ngi/=d. Es/ p+0,di>in/0 s +p/id09as/a = /0/a d 0s in,+>n/0s d 0ngi/=d sa ig=a a a

0ngi/=d d /+a>0 = s/ sind0 ,0nsid+ad0. Min/+as >n0+ sa



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in,+>n/0 d 0ngi/=d< >ay0+ s+ a p+,isi-n.

La a/=+a d 0s >=+0s n /+a>0 in,inad0 d s,,i-n a*i+/a s+a

ig=a a >i>0 /i+an/ ,a,=ad0 n a s,,i-n< >s =n *0+d

i*+< 0 a J.4 ?,s /i+an/ ,+/i,0 n /+a>0 in,inad0 >s *0+d i*+ ,=a=i+a = sa >ay0+. E *0+d i*+ >ni>0

+,0>ndad0 pa+a /+a>0s in,inad0s d +pidas n ,anas a*i+/0s

,0n =na ,apa,idad #." >2sg. 0 sa 1JJ pis2sg.' s

J.2J> 1#p=g.'. E /i+an/ y *0+d i*+ s0n >did0s

p+pndi,=a+>n/ a *0+d d /+a>0 in,inad0.

En ?0,idads >ay0+s = >sg. 2J pissg'< ag=a p=d

in,+>n/a+ s= ?0=>n< d*id0 a ai+ in,0+p0+ad0 = s/ sind0,0nd=,id0. E *0+d i*+ +,0>ndad0 pa+a 0s >=+0s +s=/a+ d

s=;i,in/ a/=+a pa+a ,0n/n+ s/ ?0=>n adi,i0na.

4. T+ay,/0+ia

C=and0 disipad0+ d n+ga s =na p0:a< =n ,0+/0 /+a>0

p+0n=n,iad0 d* ,0n,/a+ a /+ay,/0+ia ,0n a p0:a disipad0+a. La

pndin/ d s/ /+a>0 s+a n/+ 1.5F1 y 2F1< ,0n =na pndin/d #F1 p+;+n/>n/. Pndin/s >s s=a?s p=dn s+

=sadas n ,as0s sp,ias< p+0 n0 d*n =sa+ pndin/s >s

s=a?s = 3F1. S +=i+ d =na ,=+?a ?+/i,a n/+ /+a>0

in,inad0 y /+a>0 ,0n pndin/ p+0n=n,iada. Una ,=+?a

pa+a*-i,a +s=/a+a n =n ?a0+ d ,0ns/an/ n a 0ngi/=d

d a ,=+?a y s gn+a>n/ =sad0. Una /+ay,/0+ia

pa+a*-i,a p=d s+ d/+>inada d a sig=in/ ,=a,i-nF

D-ndF

Dis/an,ia 90+i:0n/a dsd 0+ign 9a,ia =n p=n/0 s0*+ a

/+ay,/0+ia >'

Cadas y Rpidas Pgina 1#


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Dis/an,ia ?+/i,a dsd 0+ign 9a,ia p=n/0 n a

/+ay,/0+ia >'

LT L0ngi/=d 90+i:0n/a dsd 0+ign 9a,ia ;in d a

/+ay,/0+ia >'L Ang=0 d in,ina,i-n d /+a>0 in,inad0 a ;ina d a /+ay,/0+ia

J Ang=0 d in,ina,i-n d /+a>0 in,inad0 a ,0>in:0 d a

/+ay,/0+ia

P=d s,,i0na+s =na 0ngi/=d d /+ay,/0+ia LT' = +s=/a

n =n ?a0+

J.5 0 >n0s< ,=and0 s s=s/i/=ida dn/+0 d a ,=a,i-n 4'.

La 0ngi/=d LT s =sada n/0n,s n ,,=0 d < =sand0 a

,=a,i-n "'.

La /+ay,/0+ia d*+a /+>ina+ n a in/+s,,i-n d 0s ad0s d

/+a>0 in,inad0 ,0n 0s >=+0s d a p0:a disipad0+a ag=as a++i*a

d s/ p=n/0. Una ,=+?a d g+an 0ngi/=d d +adi0< ig+a>n/

>s s=a? = a /+ay,/0+ia ,a,=ada< p0d+a =sa+s. Si s p0si*

a /+ay,/0+ia d* ,0in,idi+ ,0n ,=a=i+a = sa a /+ansi,i-n

+=+ida.

Las ?a+ia*s d ;=80 n a /+ay,/0+ia y n /+a>0 ,0+/0 d

pndin/ p+0n=n,iada s0n ,a,=ad0s d a >is>a >an+a ,0>0

;=+0n ,a,=ad0s n /+a>0 in,inad0. S as=> =na ?a,i-n

pa+a pis0 d a p0:a disipad0+a y s ,a,=a g+adin/ d

n+ga n a =ni-n d /+a>0 in,inad0 y pis0 d a p0:a. Las

?a+ia*s d ;=80 n s/ p=n/0 s0n =sad0s ,0>0 as ?a+ia*s

ag=as a++i*a d sa/0 9id+=i,0 n dis@0 d a p0:a disipad0+a.

5. P0:a disipad0+a

En =na p0:a disipad0+a ag=a ;=y dsd /+a>0 ,0+/0 d

,+,in/ p+0n=n,iada a =na ?0,idad >ay0+ = a ?0,idad

,+/i,a. E ,a>*i0 a*+=p/0 n a pndin/< d0nd a pndin/

s=a? d pis0 d a p0:a disipad0+a s =n ,0n /+a>0 ,0+/0 d

pndin/ p+0n=n,iada< ;=+:a a ag=a 9a,ia =n sa/0 9id+=i,0 y



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a n+ga s disipada n a /=+*=n,ia +s=/an/. La p0:a

disipad0+a s di>nsi0nada pa+a ,0n/n+ sa/0. Pa+a = =na

p0:a disipad0+a 0p+ ad,=ada>n/< n>+0 d (+0=d

d*+a s/a+ n/+ 4.5 ( 15< d0nd ag=a ing+sa a a p0:adisipad0+a. Es/=di0s sp,ias 0 p+=*as d >0d0s s +=i+n

pa+a s/+=,/=+as ,0n n>+0 d (+0=d ;=+a d s/ +ang0. Si

n>+0 d (+0=d s >n0+ = ap+0i>ada>n/ 4.5 n0 0,=++i+a

=n sa/0 9id+=i,0 s/a*. Si n>+0 d (+0=d s >ay0+ = 1J80+ a/+na/i?a pa+a disipa+

n+ga. Las p0:as disipad0+as +=i+n d =n /i+an/ d ag=as

a*a80 pa+a asg=+a+ = sa/0 0,=++a d0nd a /=+*=n,iap=da s+ ,0n/nida.

Las p0:as disipad0+as =s=a>n/ /inn =na s,,i-n /+ans?+sa

+,/ang=a+< >=+0s pa+a0s y =n pis0 a ni?. Las sig=in/s

,=a,i0ns s api,an a s/ /ip0 d p0:a< pa+a d/+>ina+ an,90

d a p0:a y /i+an/ dsp=Bs d sa/0.

A ?,s s0n =sadas p0:as ,0n >=+0s di?+gn/s< =

+=i+n a/n,i-n sp,ia. Pa+a ,a=das 9as/a #." >2sg 1JJ

pis2sg'< a ,=a,i-nF

!!! '

D-ndF

* An,90 d a p0:a

>'

Ca=da >2sg'

P=d =sa+s a ;in d d/+>ina+ an,90 d =na p0:a pa+a 0s ,,=0sini,ia1s. Pa+a s/+=,/=+as d0nd a ,ada ?+/i,a s >n0+ a 4.5 >. La ,0/ad ni? d n+ga dsp=Bs d sa/0 9id+=i,0 d*+a *aan,a+s ,0n a,0/a d ni? d n+ga d ,ana1< ag=as d*a80 d a s/+=,/=+a.

E /i+an/ d ag=a dsp=Bs d sa/0 9id+=i,0 p=d s+ ,a,=ad0d a ;-+>=1aF



15/38


D-ndF

+% -Ti+an/ an/s d sa/0 >'

% - ?0,idad an/s d sa/0 >Ms'

+# - /i+an/ dsp=Bs d sa1/0

/ - a,+a,i-n d a g+a?dad."1 >Ms#'

H/dc 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9

d2/d1 d1/dc d2/d1 d1/dc d2/d1 d1/dc d2/d1 d1/dc d2/d1 d1/dc d2/d1 d1/dc d 2/d 1 d1/dc d2/d1 d1/dc d2/d1 d1/dc d2/d1 d1/dc0 1.0 1.0 2.07 0.580 2.48 .614 2.81 .572 3.09 .541 3.35 5.16 3.60 .494 3.82 .477 4.04 .461 4.24 .448

1 4.44 .436 4.64 .425 4.82 .415 5.00 .405 5.19 .397 5.36 .389 5.53 .391 5.69 .375 5.86 .368 6.02 .362

2 6.18 .356 6.33 .351 5.49 .345 6.64 .340 6.79 .336 6.94 .331 7.09 .327 7.23 .323 7.38 .319 7.52 .315

3 7.56 .311 7.80 .308 7.94 .304 8.07 .301 8.21 .298 8.34 .295 8.48 .292 8.61 .289 8.74 .286 8.87 .284

4 9.00 .281 9.13 .278 9.26 .275 9.39 .274 9.51 .271 9.64 .269 9.76 .267 9.89 .265 10.01 .263 10.13 .261

5 10.25 .259 10.38 .257 10.50 .255 10.62 .253 10.75 .251 10.85 .250 10.97 .248 11.09 .246 11.21 .244 11.32 .243

6 11.44 .241 11.55 .240 11.57 .238 11.78 .237 11.90 .235 12.01 .234 12.12 .233 12.24 .231 12.35 .230 12.46 .228

7 12.57 .227 12.68 .225 12.79 .225 12.90 .223 13.01 .222 13.12 .221 13.23 .220 13.34 .219 13.45 .218 13.56 .216

8 13.66 .215 13.77 .214 13.38 .213 13.98 .213 14.09 .211 14.19 .210 14.30 .209 14.41 .208 14.51 .207 14.61 .206

9 14.72 .205 14.82 .204 14.95 .203 15.03 .203 15.13 .202 15.23 .201 15.34 .200 15.44 .199 15.54 .198 15.64 .197

10 15.74 .197 15.84 .196 15.95 .195 16.05 .195 16.15 .193 16.25 .193 16.35 .192 16.45 .191 16.54 .191 16.64 .190

11 16.74 .189 16.86 .188 16.94 .187 17.04 .187 17.13 .186 17.23 .185 17.33 .185 17.43 .184 17.52 .183 17.65 .183

12 17.72 .182 17.81 .181 17.91 .181 18.01 .180 18.10 .180 18.20 .179 18.29 .178 18.39 .178 18.48 .177 18.58 .175

13 18.57 .175 18.77 .175 18.90 .175 18.95 .174 19.05 .174 19.14 .173 19.24 .173 19.33 .172 19.42 .171 19.52 .171

14 19.61 .170 19.70 .170 19.79 .169 19.89 .169 19.98 .168 20.07 .168 20.16 .167 20.25 .167 20.34 .166 20.44 .166

15 20.53 .165 20.62 .165 20.71 .164 20.80 .164 20.89 .164 20.98 .163 21.07 .163 21.16 .165 21.25 .162 21.34 .161

16 21.43 .161 21.52 .160 21.61 .160 21.70 .160 21.79 .160 21.88 .159 21.97 .158 22.05 .158 22.14 .157 22.23 .157

17 22.32 .157 22.41 .156 22.50 .156 22.58 .155 22.57 .155 22.75 .155 22.85 .154 22.93 .154 23.02 .154 23.11 .153

18 23.19 .153 23.28 .152 23.37 .152 23.45 .152 23.34 .152 23.53 .151 23.71 .151 23.80 .151 23.89 .150 23.97 .150

19 24.06 .149 24.14 .149 24.23 .148 24.31 .148 24.40 .148 24.49 .147 24.57 .147 24.66 .147 24.74 .146 24.83 .146

20 24.91 .146 24.99 .145 25.08 .145 25.16 .145 25.25 .145 25.33 .144 25.42 .144 25.30 .144 25.58 .143 25.57 .143

21 25.75 .143 25.83 .142 25.92 .142 26.00 .142 25.08 .142 26.17 .141 26.25 .141 26.33 .141 26.42 .140 26.50 .140

22 26.58 .140 26.66 .139 26.75 .139 26.33 .139 25.91 .139 26.99 .138 27.02 .138 27.16 .138 27.24 .138 27.32 .137

23 27.40 .137 27.48 .137 27.57 .136 27.63 .136 27.73 .136 27.31 .136 27.89 .135 27.97 .135 28.05 .135 28.13 .135

24 28.22 .134 28.30 .134 28.38 .134 28.46 .134 28.54 .134 28.30 .133 28.70 .133 28.78 .133 28.86 .132 28.94 .132

25 29.02 .132 29.10 .132 29.18 .131 29.26 .131 29.34 .131 29.42 .131 29.50 .131 29.58 .130 29.66 .130 29.74 .130

26 29.82 .130 29.89 .129 29.97 .129 30.05 .129 30.13 .129 30.21 .128 30.29 .128 30.37 .128 30.45 .128 30.52 .128

27 30.50 .127 30.58 .127 30.76 .127 30.84 .127 30.92 .127 31.00 .125 31.07 .125 31.15 .125 31.23 .126 31.31 .126

28 31.38 .125 31.46 .125 31.54 .125 31.52 .125 31.63 .125 31.77 .124 31.85 .124 31.93 .124 32.00 .124 32.08 .124

29 32.16 .123 32.23 .123 32.31 .123 32.39 .123 32.46 .123 32.54 .122 32.62 .122 32.59 .122 32.77 .122 32.95 .122

30 32.92 .121 33.00 .121 33.08 .121 33.15 .121 33.23 .121 33.31 .121 33.38 .120 33.45 .120 33.53 .120 33.61 .120

31 33.68 .120 33.75 .119 33.84 .119 33.91 .119 33.99 .119 34.06 .119 34.14 .119 34.21 .118 34.29 .118 34.36 .118

32 34.44 .118 34.51 .118 34.59 .118 34.66 .117 34.74 .117 34.81 .117 34.89 .117 34.96 .117 35.04 .117 35.11 .116

33 35.19 .116 35.26 .116 35.34 .116 35.41 .116 35.49 .116 35.56 .115 35.63 .115 35.71 .115 35.78 .115 35.86 .115

34 35.93 .115 36.00 .115 36.08 .114 36.15 .114 36.23 .114 36.30 .114 36.37 .114 36.45 .114 36.52 .113 36.59 .113

35 36.57 .113 36.74 .113 36.81 .113 36.89 .113 36.96 .113 37.03 .112 37.11 .112 37.18 .112 37.25 .112 37.33 .112

36 37.40 .112 37.47 .112 37.55 .111 37.52 .111 37.69 .111 37.76 .111 37.84 .111 37.91 .111 37.98 .111 38.05 .110

37 38.13 .110 38.20 .110 38.27 .110 38.34 .110 38.42 .110 38.49 .110 38.56 .109 38.63 .109 38.70 .109 38.75 .109



16/38


38 38.85 .109 38.92 .109 38.99 .109 39.06 .109 39.14 .109 39.21 .108 39.28 .108 39.35 .108 39.42 .108 39.49 .108

39 39.56 .108 39.64 .107 39.71 .107 39.78 .107 39.85 .107 39.92 .107 39.99 .107 40.06 .107 40.14 .107 40.21 .106

40 40.23 .106 40.35 .106 40.42 .106 40.49 .106 40.56 .106 40.63 .106 40.70 .106 40.77 .105 40.34 .105 40.91 .105

RELACION ENTRE P0RDIDA DE ENERGIA1 TIRANTE CRTICO Y TIRANTES DEAGUA DE RESALTO 2AGUAS ARRIBA Y BAJO3 PARA RESALTOS HI DRULICOS

EN CANALES RECTANGULARES CON RASANTE HORIZONTAL

Pa+a s/+=,/=+as d0nd a ,ada ?+/i,a s >n0+ = 4.5 > 15 ps'i+s =na n=?a 1?a,i-n pa+a pis0 d a p0:a 0 =n n=?0

an,90 d p0:a y ?0?+s a ,a,=a+ 0s ni?s d n+ga. L0s

/an/0s s +pi/n 9as/a = *aan, sa 0*/nid0.

Si a +?isi-n indi,a< pis0 d a p0:a d*+a s+ *a8ad0 0 /a>*iBn

s p0d+a as=>i+ =n an,90 di;+n/ d a p0:a pa+a =g0 +p/i+ p+0,di>in/0 d dis@0.

La 0ngi/=d >ni>a d p0:a Lp n a (ig=+a 1' pa+a s/+=,/=+as

=sadas n ,anas s n0+>a>n/ 4 ?,s +#. Pa+a s/+=,/=+as n

d+ns< d0nd ;=80 s+ in/+>i/n/ y d ,0+/a d=+a,i-n< a

0ngi/=d > ni>a p=d s+ a+dd0+ d 2 ?,s +# . E *0+d

1i*+ +,0>ndad0 pa+a p0:as disipad0+as p=d s+ d/+>inad0 d a

(ig=+a 1. E *0+d 1i*+ s >did0 s0*+ ni? >i>0 d n+ga

dsp=Bs d sa/0 9id+=1i,0.



17/38


C=and0 a p0:a disipad0+a ds,a+ga in/+>i/n/>n/ 0 ds,a+ga 9a,ia

=n ,a=, na/=+a = 0/+0 n0 ,0n/+0ad0< d*+a ,0ns/+=i+s =n ,0n/+0

dn/+0 d a saida d a p0:a pa+a p+0?+ /i+an/ d ag=as a*a80

n,sa+i0. E /i+an/ ,+/i,0 n a s,,i-n d ,0n/+0 d* s+ =sad0 pa+ad/+>ina+ ni? d n+ga dsp=Bs. C=and0 a p0:a ds,a+ga

9a,ia =n ,ana1 ,0n/+0ad0< /i+an/ n ,ana d* s+ ,a,=ad0 ,0n

=n ?a0+ ( d ,ana< +d=,id0 n =n #J y s/ /i+an/ =sad0 pa+a

d/+>ina+ ni? d n+ga dsp=Bs. Si s =sa =na p0:a ,0n

pa+ds di?+gn/s< ng=0 d d;i-n d 0s >=+0s a/+as n0

d*+a C,d+ ng=0 p+>i/id0 n 0s >=+0s d a s,,i-n

in,1inada.

S p=d =sa+ G0+ad+0s ,0n ;i/+0 d g+a?a pa+a ai?ia+ a p+si-n

9id+0s//i,a s0*+ pis0 y 0s >=+0s d a p0:a disipad0+a y /+ansi,i-n

d a sa1ida.

S0n p+0?is/0s *0=s n /+a>0 in,inad0 y pis0 pa+a +0>p+

;=80 n ,90++0 y pa+a s/a*ii:a+ sa/0 9id+=1i,0.

Si =na /+ansi,i-n d saida n0 s p+0?is/a< s +=+i+ d =n s-id0

=>*+a /+>ina ;ig. 2'. La ,a+a ag=as a++i*a d =>*+a d*+a /n+=na pndin/ #F 1 y a ,a+a dsp=Bs d*+a s+ ?+/i,a. La ,0/a da ,i>a d =>*+a d*+a s+ ,00,ada pa+a p+0?+ 1 /i+an/ ag=asa*a80 n sa/0 9id+=1i,0.

F'/. &POZA DISIPADORA Y UMBRAL TERMINAL

Una poza disipadora y una transicin de salida construidas para las dimensiones

recomendadas tal vez no contengan completamente la salpicadura causada por el



18/38


agua turbulenta, pero la estructura debe contener suficiente de la turbulencia para

prevenir daos por erosin despus de la estructura.

3. (0+>a,i-n d Ondas

Las 0ndas n =na +pida s0n 0*8/a*s< p0+= as p=dn

s0*+pasa+ 0s >=+0s d a +pida y ,a=sa+ 0ndas n disipad0+ d

n+ga. Una p0:a disipad0+a n0 s+a =n disipad0+ d n+ga ;,/i?0 ,0n

s/ /ip0 d ;=80 p0+= n0 p=d ;0+>a+s =n sa/0 9id+=i,0 s/a*.

Un ;=80 n0 s/a* y p=s/i p=d p+0d=,i+s n +pidas a+gas ,0n =na

;=+/ pndin/.

Es/as 0ndas gn+a>n/ s ;0+>an n +pidas< = s0n >s a+gas =

ap+0i>ada>n/ 3J > #JJ pis' y /inn =na pndin/ d ;0nd0 >s

s=a? = #J. La >i>a a/=+a d 0nda = p=d sp+a+s s d0s

?,s /i+an/ n0+>a pa+a a pndin/< y a ,apa,idad >i>a d ;=80

>0>n/n0 ins/a* y p=s/i s d0s ?,s a ,apa,idad n0+>a. (=80

/+ans?+sa = 0ndas ,+=:adas p=dn /a>*iBn dsa++0a+s n =na +pida.

Es/as 0ndas s0n ,a=sadas p0+F

1. T+ansi,i0ns a*+=p/as d =na s,,i-n d

,ana a 0/+a.

#. Es/+=,/=+as

asi>B/+i,as.

2. C=+?as 0 ng=0s n aina>in/0 d

a +pida.

La p+0*a*iidad d = s/as 0ndas san gn+adas n a s/+=,/=+a p=d

s+ +d=,ida< sig=ind0 as +,0>nda,i0ns ,0n,+nin/s a ng=0s d

d;i-n y si>/+a 9,9as n as s,,i0ns p+/n,in/s a as

/+ansi,i0ns< y ?i/and0 0s ,a>*i0s n di+,,i-n n a s/+=,/=+a.

Ag=nas s,,i0ns d a +pida s0n >s p+0*a*s a s=;+i+ 0ndas =

0/+as s,,i0ns. S,,i0ns p0,0 p+0;=ndas y an,9as pa+/i,=a+>n/

s=s,p/i*s a ;=80 /+ans?+sa< >in/+as = s,,i0ns p+0;=ndas y

ang0s/as +sis/n /an/0 ;=80 /+ans?+sa ,0>0 ;=80 ins/a* y

p=s/i. Las s,,i0ns d +pida = /-+i,a>n/ p=dn p+?ni+ a

;0+>a,i-n d 0ndas 9an sid0 dsa++0adas d ;0+>a /+iang=a+ =

p+?in /an/0 as 0ndas ,+=:adas ,0>0 ;=80 ins/a*.

Cadas y Rpidas Pgina 1"


19/38


F'/. 4 " S ECCIN TERICA DE UNA RP IDA DE FLUJO ES TABLE. LA FORMA

TRIANGULAR PROVIENE TANTO DE LAS ONDAS CRUZADAS COMO DE FLUJO NOESTABLE

IV. P5678+'9'8(6 +8 +';8ina+ a g+adin/ d n+ga n ini,i0 d a s,,i-n d a

+pida.

2. Ca,=a+ as ?a+ia*s d ;=80 n a s,,i-n d a +pida.

4. Dis@a+ a /+ay,/0+ia y a pa+/ p+0n=n,iada d a s,,i-n d a

+pida.

5. As=>i+ =na ?a,i-n pa+a pis0 d a p0:a disipad0+a y

,a,=a+ as ,a+a,/+s/i,as d ;=80 ag=as a++i*a d sa/0 9id+=i,0.

D/+>ina+ da y g+adin/ d n+ga dsp=Bs d sa/0

9id+=i,0.

3. D/+>ina+ g+adin/ d n+ga n ,ana dsp=Bs d a

s/+=,/=+a y ,0>pa+a+ ,0n g+adin/ d n+ga dsp=Bs d

sa/0 9id+=i,0.

6. P=d s+ n,sa+i0 as=>i+ =na n=?a ?a,i-n d ;0nd0 d a

p0:a y +,a,=a+ 0s ?a0+s an/s >n,i0nad0s ?a+ias ?,s< an/s

d = s 0*/nga =na ,0in,idn,ia d ni?s d n+ga.

". R?isa+ p0+ 0p+a,i-n ad,=ada ,0n ,apa,idads pa+,ias.

. D/+>ina+ a 0ngi/=d d a p0:a y a a/=+a d >=+0s d a p0:a.

1J. Dis@a+ 0s *0=s d a +pida y d pis0< y =>*+a T+>ina

0 /+ansi,i-n d saida ,0>0 s +=i+a.



20/38


11. $+i;i,a+ a p0si*iidad d a p+0d=,,i-n d 0ndas n a s/+=,/=+a.

1#. P+0p0+,i0na+ p+0/,,i-n n ,ana dsp=Bs< si s +=+id0.

V. CONSIDERACIONES HIDRULICAS

S +=i+ ,0n0,+ as p+0pidads 9id+=i,as y ?a,i0ns d a

+asan/ y d as s,,i0ns d ,ana ag=as a++i*a y ag=as d*a80 d

a +pida< as ,0>0 =n p+;i d /+a>0 n a 0,ai:a,i-n d a

s/+=,/=+a.

&n+a>n/ s d* >an/n+ =na pndin/ >ay0+ = a

n,sa+ia pa+a >an/n+ +Bgi>n ,+/i,0< p0+ 0 = /ip0 d ;=80

= s s/a*, s ;=80 s=p+,+/i,0.E ,ana d ,ada p=d /n+ d a,=+d0 a a ,0n;ig=+a,i-n d

/++n0 =na 0 ?a+ias pndin/s y s gn+a>n/ d s,,i-n

+,/ang=a+ 0 /+ap:0ida.

La /+ay,/0+ia d* dis@a+s d >0d0 = a ,0++in/ d ag=a

p+>an:,a n ,0n/a,/0 ,0n ;0nd0 d ,ana y n0 s p+0d=:,an

?a,0s. Si a /+ay,/0+ia s ,a,=a ,0n ?a0+ d a a,+a,i-n d a

g+a?dad ,0>0 ,0>p0nn/ ?+/i,a< n0 9a*+ p+si-n d ag=a s0*+ ;0nd0 y spa,i0 0,=pad0 p0+ ai+ a=>n/a+< i>i/nd0s as

a ,apa,idad d ,0nd=,,i-n d ,ana< p0+ 0 = s a,0s/=>*+a =sa+

,0>0 ,0>p0nn/ ?+/i,a =n ?a0+ in;+i0+ a a a,+a,i-n d a

g+a?dad 0 in,+>n/a+ ?a0+ d a ?0,idad pa+a = a >ina

d ag=a s ad9i+a a ;0nd0 d ,ana.

La p0:a d disipa,i-n d* =*i,a+s n /+>0 in;+i0+ d a

/+ay,/0+ia ,0n 0*8/i?0 d a*s0+*+ pa+/ d a n+ga ,inB/i,a

gn+ada n a +pida< >dian/ a p+0d=,,i-n d +sa/0 9id+=i,0 y

,0n/n+ s/ +sa/0 dn/+0 d a p0:a.

C0n ;in d p+0/g+ ,ana s0*+ /0d0 si s n /i++a< s p=d

+?s/i+ ,0n >a>p0s/+a a :0na d p+0/,,i-n.

Cadas y Rpidas Pgina #J


21/38


Cadas y Rpidas Pgina #1


22/38


VI. CAIDAS

4.%. R8;=98(

La ;=n,i-n d as s/+=,/=+as d ,ada s a d ?a+ ag=a

d =n =ga+ a/0 a =n0 *a80 y a d disipa+ ,s0 d n+ga

+s=/an/ p0+ di,9a ,ada. Un ,ana a 0 a+g0 d >is>0

/++n0 p0d+a s+ 0 s=;i,in/>n/ >pinad0 ,0>0 pa+a

,a=sa+ s?+as +0si0ns n 0s ,anas d /i++a 0 in/++=>pi+

;=80 n ,anas ,0n +,=*+i>in/0.

E ag=a d*< p0+ 0 /an/0< s+ /+ansp0+/ada p0+ =na s/+=,/=+a

d ,ada dis@ada pa+a =na sg=+a disipa,i-n d ,s0 dn+ga. L0s di;+n/s /ip0s d ,adas = p=dn s+

=sad0s s0n ?+/i,as< ,0n dad0s disipad0+s< +,/ang=a+s

in,inad0s< y n /=*+as.

4.#. G8(85)*'+)+8;

a' DE(INICI)N DE CA%DAS

S0n s/+=,/=+as =/ii:adas n a=0s p=n/0s d0nd s

n,sa+i0 ;,/=a+ ,a>*i0s *+=s,0s n a +asan/ d ,anai/ =ni+ d0s /+a>0s =n0 s=p+i0+ y 0/+0 in;+i0+' d =n

,ana< p0+ >di0 d =n pan0 ?+/i,a >=+0 d s0s/ni>in/0

d /i++a ,apa: d s0p0+/a+ >p=8 = s/as 0,asi0nan'i/ind0 = ag=a sa/ i*+>n/ y ,aiga n /+a>0 da*a80.

En La sig=in/ /a*a s dan 0s ?a0+s +,0>nda*s pa+a

as p+0;=ndidads p' y a 0ngi/=d L' d ,0,9-n

a>0+/ig=ad0+ n ;=n,i-n d an,90 d pan/ia *' y

dsni? ('.

CADAS Y RPIDAS PGINA##


23/38


*' E>n/0s d =na ,adaEn dis@0 d =na ,ada< s p=dn dis/ing=i+ 0s sig=in/s

>n/0sF

T5)(;'7'>( +8 8(5)+): =n p0+ >di0 d =n

s/+,9a>in/0 p+0g+si?0 a s,,i-n d ,ana s=p+i0+

,0n a s,,i-n d ,0n/+0.

C)?+) 8( ;?:a ,=a s d s,,i-n +,/ang=a+ y p=d s+

?+/i,a 0 in,inada. S877'>( +8 76(56*F s a s,,i-n ,0++sp0ndin/ a

p=n/0 d0nd s ini,ia a ,ada< ,+,an0 a s/ p=n/0 s

p+sn/an as ,0ndi,i0ns ,+/i,as.

La s,,i-n d ,0n/+0 /in p0+ ;inaidad< >an/n+ ;=80 ag=as

a++i*a n +Bgi>n /+an=i0< d >an+a = s n a >is>a

s,,i-n d ,0n/+0 d0nd 0,=++ ,a>*i0 d +Bgi>n y ag=a

a,an:a a p+0;=ndidad y ?0,idad ,+/i,a.La s,,i-n d ,0n/+0 ,0nsis/ n =na ?a+ia,i-n d a s,,i-n d

,ana n p=n/0 d0nd s ini,ia a ,ada 0 =na +a>pa n ,0n/+a

pndin/< d >an+a = a n+ga n ,ana ag=as a++i*a

sa ig=a a a n+ga n p=n/0 d0nd s ini,ia a ,ada.

P0:a 0 ,0,9-n a>0+/ig=ad0+F s d s,,i-n +,/ang=a+ y ,a=da V 2JJ s

> d an,90 d ,ana< n0 s n,sa+i0 p0:a d disipa,i-n.

d' E ,a=da ?+/in/ n *0+d s=p+i0+ d a ,ada s ,a,=a

,0n a ;-+>=a pa+a ,a=da =ni/a+i0 G

Sind0 ,a=da /0/aF

!!! (-+>=a d Wis*a,9'

X J.5

an,90 d ,ada

' La ,ada ?+/i,a s p=d =/ii:a+ pa+a >di+ a ,an/idad d

ag=a = ?i+/ s0*+ a si s ,00,a =n ?+/d+0 ,ai*+ad0.

;' P0+ d*a80 d a >ina ?+/in/ n a ,ada s p+0d=, =n

dp-si/0 d ag=a d a/=+a y0 = ap0+/a i>p=s0 90+i:0n/a

n,sa+i0 pa+a = ,90++0 d ag=a >a+,9 9a,ia a*a80.

g' Rand 15' ,i/ad0 p0+ ILRI5' pag.#J< n,0n/+- = a

g0>/+a d ;=80 d ag=a n =n sa/0 ?+/i,a< p=d

,a,=a+s ,0n =n ++0+ in;+i0+ a 5 p0+ >di0 d as

sig=in/s ;=n,i0nsF

D-ndF

RPIDAS Y CADAS PGINA#@


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= s ,0n0, ,0>0 n=>+0 d sa/0 y

F'/. % C)5)785?;'7); +8 *) 7)?+) 85'7)*.

9' A ,a+ a >ina ?+/in/ /+a =na ,0n/in=a ,an/idad d

ai+ d a ,>a+a indi,ada< ,=a s d* +>pa:a+ pa+a

?i/a+ a ,a?i/a,i-n 0 +s0nan,ias s0*+ /0da 1a s/+=,/=+a.

i ' Pa+a ;a,ii/a+ a ai+a,i-n s p=d ad0p/a+ ,=a=i+a d as

s0=,i0ns sig=in/sF

C0n/+a,,i-n a/+a ,0>p/a n ,+s/a ?+/in/0d0 d spa,i0 a/+a pa+a

a,,s0 d ai+ d*a80 d a >ina ?+/in/.

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Ag=8+0s d ?n/ia,i-n< ,=ya ,apa,idad d s=>inis/+0

d ai+ n >Ys> d an,90 d ,+s/a d a ,adaisi* d*a80 d a >ina ?+/in/< n

>/+0s d ,0=>na d ag=a. s p=d s=p0n+ =n ?a0+ d

J.J4> d ,0=>na d ag=a'

,0;i,in/ d p+dida d n/+ada Usa+ [J.5'

( ,0;i,in/ d ;+i,,i-n n a ,=a,i-n d Da+,y \ Wis*a,9.



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L 0ngi/=d d a /=*+a d ?n/ia,i-n< >.

D di>/+0 d ag=8+0 d ?n/ia,i-n< >.

* C0;i,in/ d p+dida p0+ ,=+?a/=+a Usa+ *1.1'

C0;i,in/ d p+dida p0+ saida Usa+ 1.J'

$a $0,idad >dia d ;=80 d ai+ a /+a?Bs d a /=*+a d

?n/ia,i-n.

ap+0i>ada>n/ 1"2J pa+a ai+ a #J]C

4.4. CRITERIOS DE DISE,O DE UNA CADA

N=>+0 d ,adas.

L0ngi/=d /+ansi,i-n d n/+ada.

An,90 d ,ana n /+a>0 d a ,ada.

Dis@a+ a p0:a disipad0+a n ;=n,i-n d a a/=+a d

,ada. 0+d i*+ d a ,ada.

R=g0sidad n ;=n,i0na>in/0 d a ,ada.

$n/ia,i-n *a80 a >ina

?+/in/.

$+i;i,a+ = a ?0,idad d ;=80 d a ,ada s/ n

+ang0 d J.3>s?1.5\#'>s

Tn+ ,=idad0 >a ;=n,i0na>in/0 9id+=i,0 d

,90++0 d a ,ada p0+ = p=d p+0d=,i+ =na g+an

+0si-n n >=+0 ?+/i,a.

4.@. CADAS VERTICALES CON OBSTCULOS PARA EL

CHOUE

E =+a= 0; R,a>a,i-n< 9a dsa++0ad0 pa+a sa/0s p=@0sina

?+/in/ y s 9a 0*/nid0 =na *=na disipa,i-n d n+ga pa+a

=na a>pia ?a+ia,i-n d a p+0;=ndidad d a >ina ag=as a*a80 a

/a p=n/0 = p=d ,0nsid+a+s indpndin/ d sa/0.

4.6. PROCEDIMIENTO PARA EL DISEO DE UNA CA!DA SIN

O"ST#CULO

1. Dis@0 d ,ana< ag=as a++i*a y ag=as a*a80 d a ,ada. U/ii:a+

as ,0nsid+a,i0ns p+,/i,as = is/n pa+a dis@0 d ,anas.

#. C,=0 d an,90 d a ,ada y /i+an/ n a s,,i-n d ,0n/+0.

En a s,,i-n d ,0n/+0 s p+sn/an as ,0ndi,i0ns ,+/i,as. Pa+a

=na s,,i-n +,/ang=a+ as ,=a,i0ns = s ,=>pn s0n as

sig=in/sF



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N>+0 d Cadas'

S p=d as=>i+ = E>inEn n+ga sp,;i,a n ,ana'

Pa+a ini,i0 d 0s ,,=0s +ai:a+ a ?+i;i,a,i0n. Ta>*in s p=d

s=p0n+ =n an,90 n a s,,i0n d ,0n/+0 d a ,ada< ,a,=a+

/i+an/ ,+i/i,0 y p0+ a ,=a,i0n d a n+gia ,a,=a+ /i+an/ a

ini,i0 d a /+ansi,i0n.

Eis/n ;0+>=as >pi+i,as pa+a ,a,=0 d an,90 d a +pida as

,=as s0nF

D a,=+d0 a Dadn[0?< p=d /0>a+sF

An,90 d a Cada

O/+a ;0+>a >p+i,a An,90 d a ,ada

P0+ 0 gn+a an,90 d s0+a ,0n s/a /i>a ;0+>=a< +s=/a d

d0ndF >ay0+ >agni/=d = ,0n a ;-+>=a d Dadn[0?.

V. EJERCICIODERPIDAS

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R'+);

0.15

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J.3

* 1DATOS

1.3#>2s s J.JJ6> J.3>

P+0;=ndidad J.65> n J.J#5>

(J."# s=*\,+/i,0

/a=d J1FJ1 9 1.4>

SOLUCIN

%. CLCULOSHIDRULICOS

Ma>p0s/+a #2'=#g'^1#' .. H^2#' = J.5

A(76 +8 *) 758;) #.4 >.A J.3 ># R APP #.6J >R J.23 >.

$ 1n'_R^#2''_S^1#''$ 1.3" >s

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Pndin/ d a pa+d d ,ana

#.4 /g`[ 1L

T'5)(8 75?'76

, #*#g''12_11.15#4_[*'1.J41#*#g'J.246

'\0.22'

, J.34 _ J."2, J.525

768. +8 7)?+) D ,9'2

D J.J53

L6(/'=+ +8 *)7)?+) Ld

4.2J_9_DJ.#6

Ld #.63 >.

1J.549DJ.4#5 J.## L

5y#\y1' 4.## >.

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y#1.339DJ.#6 1.J6 L/ LdL

L/ 3. >.LONGITUD MINIMA DELCOLCHN:

C0>p+0*a+ =FL b Ld #.55, 4.## b 4.1#6L 4.1#6

L 4.2>.

UBICACIN DE LOSOBSTCULOS: L0* Ld J.",

L0* 2.1>. n ,a>p0 L0* 2.5>

PROFUNDIDAD MNIMA DE LA CAPADE AGUA: # b #.15, 1.J6 b

1.15J54

# 1.J6# 1>.

ALTURA PTIMA DE LOSDADOS:

90p.0*s J." ,90p.0*s J.42 >.

ANCHO DE LOSDADOS: a0* J.4 ,

a0* J.#1 >.

ESPACIAMIENTO ENTRE LOS

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DADOS :0* J.4 ,0* J.#1 >.

ALTURA PTIMA DEL OBSTCULOFINAL:

90p.0*s.;ina J.4 ,90p.0*s.;ina J.#1 >.

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VI. JUSTIFICACIN

La a*0+a,i-n d p+sn/ /+a*a80 p+/nd da+ a ,0n0,+ =

s0n +pidas< pa+/s< i>p0+/an,ia y s= api,a,i-n. MB/0d0s pa+a s=

dis@0 ,0n p+?ia in;0+>a,i-n /-+i,a.

VII. CONCLUSIONES

D p+sn/ /+a*a80 9>0s gad0 a a ,0n,=si-n = =n

dis@0 9id+=i,0 d ,adas s d ?a+ ag=a d =n =ga+ a/0

a =n0 *a80 y d disipa+ ,s0 d n+ga p0+ di,9a ,ada.

S 9an +ai:ad0 /+a*a80s d dis@0 d +pidas y ,adas n

,0n,0+dan,ia a as n0+>as /B,ni,as y RNE< 8=n/0 a 0s

pa+>/+0s d dis@0 ?ign/s y a *=na p+,/i,a d a

ingni+a 9id+=i,a = 9an dad0 ,+di*iidad y >ay0+s

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*n;i,i0s = is/< = g+a,ias a s=s /ip0s< ;0+>as s

ad,=an a /++n0 n ,=a s+n ins/aad0s y as p0d>0s

0p/i>i:a+ a ;i,in,ia d ,adas y +pidas.

rápidas y caídas 2013

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