1. ! ! !
" #$

2. %
!"!#!"!# $$ %% &&
& & && & & & & & & & & & && & & & & & & & $&$&
!"!# ' %!"!# ' %
& & && & & & & & & & & & & & $& & & & & & & & & $

3. !! $$
%% ( )( ) # *"+# ' !#( " !"# *"+# ' !#( " !"
&
'' (( ))
** %%
** ((
%%
++ **
'' ,, %% -! *-! * ..%%
, *#, "," " - ."./ !# - " ," !# #, 0"./

4. // 0 *0 * 00
11 %%
// 11 )) '' ))
22 ))
**
00 %%
// $$ 11
// ** 00 $$
%%
// $$ 11
22
11 0 '0 ' 33
)) %%

5. !"#$ %# &' ()! %# #!*+ ,*-'
#!"#%#!( %# #!*+ ,*-'
# ,('$"!&.# /( / !0( %# / $#,,*-' %#/!1( 2 ! #/#+ ! #/'*+#/%#/3 *$3 (
. 0#'#! ! &' , !0 , 2 4 %# #'+* ! #/ 0& 5 ,* / ,('%&,,*-' &#%#
$#! %# 3 %#! 6#$,(//#! ( ,(',!#"(
)! %# (3
# ,('$"!&.# 2#!2#'%*,&/ ! /#7# %#/!1( # *'3 #%* " 3 #'"# 0& $ !!*)
%#/ +#!"#%#!( #' / !*)#! %('%# #$"# 2!#+*$"( ,('$"!&*! / $ ()! $ %#
,('%&,,*-' (' &' ,('7&'"( %# #, '*$3 ($ %# (3 2&#!" $ 8&#
,('"!(/ ' #/2 $( %# 0& / ()! %# ,('%&,,*-'
(3 2&#!" $ . , ' /#$ %# /*3 2*#4 2 ! #+ ,& ! #/3 "#!* / ,&3 &/ %(
)! %# *3 2*#4
(3 2&#!" $ . , ' /#$ %# /*3 2*#4 2 ! #+ ,& ! #/3 "#!* / ,&3 &/ %(
/ #'"! % %# / ()! %# "(3 2!(%&,"( %# / %#, '" ,*-' %# /($
$#%*3 #'"($ !! $"! %($ 2(! #/!1(
*$"!*)&,*-' #2 !"*! #/ 0& #'"!# /($ &$& !*($
*$2($*"*+( %*$*2 %(!#$ %#
#'#!01
*$2($*"*+( %*$#9 %( 2 ! !#*'"#0! ! / $ ,('%*,*('#$ (!*0*' /#$ %#/ !1(
"*! '"# . +#/(,*% % 6,(' #/()7#"( %# #+*" ! #!($*-' #' #//#,5(
)! $ %*,*(' /#$
($ "*2($:
*8&#$ 2!("#,"(!#$ 0& $ !!*) %# / ()! : 2 ! 2!#+#'*!
%#$)(!% 3 *#'"($ 2!(%&,"( %#/!#3 '$(
) )! $ %# 2!("#,,*-' %# " /&%#$: $# *',/&.#' ,& '%( #;*$" 2#/*0!( %#
%#!!&3 )# %&! '"# #/2 $( %# / $ ,!#,*#'"#$ 3 <;*3 $

6. )! %# *3 2*#4
#!"#%#!( #!"#%#!(
)! %# (3

7. #7*// $ %#
2" ,*-'

8. *$2($*"*+($ %#*$2($*"*+($ %#
%*$*2 ,*-'

9. 4 * $
! ( & & & & &5 $& & &! * & &6
Qmed anual Interval de Clase
Promedio de
Clase # Casos F relativa % % acumulado
35 36 32.1 34.05 2 0.11764706 11.7647059 11.7647059
33.2 32 28.1 30.05 1 0.05882353 5.88235294 17.6470588
31 28 24.1 26.05 1 0.05882353 5.88235294 23.5294118
27.6 24 20.1 22.05 3 0.17647059 17.6470588 41.1764706
23.5 20 16.1 18.05 2 0.11764706 11.7647059 52.9411765
22 16 12.1 14.05 1 0.05882353 5.88235294 58.8235294
$"&%*($ #,#$ !*($ 2 ! #/ %*$#9( %# / )! %# 2" ,*-'
22 16 12.1 14.05 1 0.05882353 5.88235294 58.8235294
20.8 12 8.1 10.05 1 0.05882353 5.88235294 64.7058824
18.5 8 4.1 6.05 4 0.23529412 23.5294118 88.2352941
17.6 4 0 2 2 0.11764706 11.7647059 100
15.3 17
11.9
8
6.8
5.5
4.3
4
2.9

10. Gasto o Caudal de Diseño para
Sistemas de Abastecimiento de
Agua Potable
9090 -- 95 % de Confiabilidad95 % de Confiabilidad
Gasto o Caudal de Diseño
para Sistemas de Riego
7070 -- 80 % de Confiabilidad80 % de Confiabilidad
10 m3/s
Q abastecimiento (90%)
7 m3/s
Q riego (70%)

11. # 0 7 ! * 7 8
Curva Profundidad-Duración-Frecuencia
Estación CORO
150
200
250
Profundidad(mm)
2
3
5
10
Períodos de
Retorno
! (
9
! * )
# *
5 : ;< = ><< (
0
50
100
0 3 6 9 12 15 18 21 24
Duración (hrs)
Profundidad(mm)
10
25
50
100
200
! (
? 1
5 : >7 @ (

12. #!=*/#$ ('0*"&%*' /#$
' $ 2 ;<<
$ -><<< = >;<< .
9
Hasta donde se alcance el
tirante normal del río (Yn)
Q
5 ,0 $
0 1
%
#,,*('#$ ! '$+#!$ /#$
>> ? >>
3 "$
>> ? >>
3 "$

13. #+ '" 3*#'"( /(, / . %#" // %( %#/ $*"*(:
2 , % !
1 1
) - . 0 *
0 * 0 , %
6 * $&
) ,
% 1 0 ' )
) 0 >< >; %
6 * $&

14. *$#9( %# &' )! %# #!*+ ,*-'
@ A
B
@ A
@ A
B

15. !*"#!*($ %# *$#9( %# &' )! %# #!*+ ,*-'
& & & & $
>%>.& & & & & & * %
>%A%.& , & & & &

16. )! $ #0&/ %(! $ ( (32&#!" $ %# %3*$*-':
!*"#!*($:
B # 1 0 0
5( 6C> )
B # ) (
)DE > FG> H I)
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0, & &D;E& &:< F
o
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h
b*Cc
1
Cc
Cd
+
=
B / ' - A. '
%
B ? * 0 *
,$
8 E % )D 0 5( J

17. !(,#%*3 *#'"( 2 ! #/%*3 #'$*(' 3 *#'"( %# / $ (3 2&#!" $:
>. 1 %
A. G - 1 0
.%
@. 0 0 %
D. %
H. * 5( K 6C> ) 1 0
0 %
D. %
;. 8 ) 2 )
C. 8 ) , 5( % )
* %

18. B ! "
0
* %
! (
0 , %
!*"#!*($:
B ? 9 -<%H< 7 >%;< I .
0 * )
* 2 *
' ( %
*3 #'$*(' 3 *#'"( %# / <3 ! '"# / $,(3 2&#!" $:

19. Detalle de la vista frontal de las compuertas
Muro separador de 30 a 40 cms.
e e
B B

20. !(,#%*3 *#'"(:
>. * GA
* ) ) 2
<%A< = <%@< %
A. ? ? ) A 2.0 m 0
* 0 %
@. ? ) GA G>%
;.
)
%
@. ? ) GA G>%
D. ? 0 ' J 0 ' )
* %
" E ; 5( L $

21. /"&! (" /%#/ #!"#%#!(:
+#!" E 5( L # L $ L 5 (/# 7#
5 (/# 7# E > M 3
+#!"

22. !*"#!*($:
B
( ' 0 $ >%. /
A%. ) )
%
#/#,,*-' . *$#9( %# / $ ,(3 2&#!" $ %# /*3 2*#4
!*"#!*($:
B 1
( 0
% , 0,
) 0 1 ,
) %

23. B ! 0 ) 0
)
% ) +#!"#%#!(%
B A%
!(,#%*3 *#'"( %# *$#9(:
B " ?: K ? K G? '
B 0
+#!"#%#!( E 5( L #$, /-' %# #'"! % $ L /"&! #$, /-' %# / ,<3 !
2($"#!*(!L /"&! 2(!(/# 7#
B / , L : AI@ 4 ) ?: L @IA K >IA

24. !*"#!*($. %*$#9( %#=*'*"*+(:
B 9 G 2 M ; )
B 9?: " ? I - K G?K . 1
: 4 % ? 9 1 A%<< =
@%<< I
*$#9( %#/, ' /%# /*3 2*#4 :
B 9 G 2 M ; )
* A< = D< %
1 G %
Ancho del Río
Bc
Bc ( ancho del canal de limpieza)
Ancho del Río
0,1

25. C :
!
C &!+ %# $"( %#/ #!"#%#!(:
0
C #(3 #"!1 %#/ *3 ,*(: ! 0 ( 0 0 ) ,
%

26. C
('0*"&%
! $
? $& & & &
$& M & & &
('0*"&% #=#,"*+ E ' ? N2 L N# I
$& M & & &
N $& 0 & & * &
& &
N $& 0 & & * &
& &
4$& & & & &

27. (#=*,*#'"#$%# !#%&,,*-' 2(! $"!*)($ (#=*,*#'"#$%# !#%&,,*-' 2(! */ $

28. ) !0 %# *$#9(
/ * 0 $
E CJ
1 +*" ,*-' ! ( A;O
4 2%
/ * : A >< ) 0
-? . -? .) ' 4 * %
# & & & & ,& & %*$#9( OE FMP 3 ;
3 <; E 3 <; CJ

29. , &!+ %# $"($ 6 %#/ #!"#%#!(
B / * # )
( 4 @*0&! H
$"# + /(!%# ( %#)# ,(!!#0*!$#:
>% & & & & & * & & & & & & E ( I J (
@*0&! Q
#! $ #% # & ' "' ' ( )* + ), -( . / #-) (+ )! ' )# "!#" (
#(0 ,1" ) #" !)0,)( 0)+ ' * !# ,% (2,!
A% ? 4 * 0 *
( 4 E ( I J ( @*0&! H C
%#2#'%# %# : ? 0 ) ? ) 3 !0 %

33. R
/"#!' "*+ $2 ! %*$*2 !#'#!01 :
(4( %*$*2 %(!
! 3 2(/1' $&3 #!0*%(
(4( %*$*2 %(!
B ' / #$, !0 %#/ #!"#%#!(
B ' / #$, !0 %#/ ' /%# /*3 2*#4
(4( %*$*2 %(!: (4( 2 ! !#$ /"( 5*%!<&/*,(

34. * &!+ %# $"( . #/(,*% %#$%#/ 1(
$" ,&!+ #$ S"*/ 2 ! #/%*$#9( %#/+#!"#%#!( 3 // %# =/&7( 6 $&)2!#$*('#$6 #$" )*/*% % . 2 !
%*$#9 !#$"!&,"&! %# %*$*2 ,*-'
( *%# /#$%*$2('#!%# !#0*$"!($()"#'*%($ "! +T$%# &' #$" ,*-' =/&+*(3 T"!*,
' #'#4&#/ #$%*=1,*/%*$2('#!%# %*,5($!#0*$"!($2(!/( " '"( $# %# #3 2/# !3 T"(%($ /"#!'($,(3 (
/ 2/*, ,*-' %# / ,& ,*-' %# ''*'0
,& ,*-' %# ''*'0
2/13/21
SAR
n
Q =
,& ,*-' %# ''*'0
% E ' E !(= (!3 /
Curva de Gastos del Río
0
1
2
3
0 200 400 600
Q (m3/seg)
d(mts)
Curva de Velocidades del Río
0
1
2
3
0 1 2 3 4
V (m/seg)
d(mts)

35. (#=*,*#'"# %# &0($*% % %# ''*'0

36. ** !(=&'%*% % %#/ (4( . #/#,,*-' %#/"*2( %# (4(:
(4( %*$*2 %(!: (4( 2 ! !#$ /"( 5*%!<&/*,(
/#+ $&/ & & & & & & & &
& & &4 :P&/ >:&4 &Q& >Q&
%C $& & & & & & & & &" ,2
- & & & & & & &" .&
C$&9 & & ' & & &-& & & .&
! #/, &% /3 <;*3 ( ( , &% /%# %*$#9(:
C$&9 & & ' & & &-& & & .&
& &" ,2-& & & & & & & %&" .
5+$&/ & 3 &:&9&AIA
/#+ C$& & & & ' & & &- .&
:& @&Q& @&Q&
U $& 0%&/ & &>&)&@&:&/ >&7 / %&@
8 $&" &I&?& 0
%,$& & &:&- AI .>I@
U I&%,
&&U & & & & &)& & &% J%,)&
% J %

37. 5 & & & % J%,. % J %

38. ** !(=&'%*% % %#/ (4( . #/#,,*-'V
% J % $& &
% $& >I & &
$& &I& >
@ $& & &8 & &>&:&9>I- K >.
% : A&I >& & & >
: &I A
5+ $&/ & 3 & &9A&
/#+ $& A&Q& A&Q
' =&',*-' %# / +#/(,*% % . '&3 #!( %# @!(&%# / #'"! % %#/2(4( $# $#/#,,*(' #/"*2( %# (4( %# ,&#!%(
/ $*0&*#'"# " )/ %#/ :
E !(=&'%*% % %#/ (4( E /#+ C G %C L 5+C G /#+ G U G % L 5+
/ $*0&*#'"# " )/ %#/ :
Tipo Froude Velocidad (m/seg) Características
A < 1,7 ---- No hace falta pozo basta con revestir el cauce hasta una
distancia 4 Y2 siendo Y2 el tirante aguas abajo del resalto.
B 1,7 < F < 2,5 ----- No hacen falta dientes solo se debe calcular Y2 con la figura
1.27
I 2,5 < F < 4,5 ---- Ver figura 1.28 sin embrago, se recomienda otro dispositivo
II F > 4,5 V < 15 m/seg Ver figura 1.29
III F > 4,5 V > 15 m/seg Ver figura 1.30

39. )/ $ 2 ! (4( *2(

40. (4( *2(

43. (4( *2(

44. ! ,"#!1$"*, $ %# /($ #$" '8&#$ 3 (!"*0& %(!#$ 2 ! 'S3 #!($ %# @!(&%# 3 .(!#$ %# R M .
+#/(,*% %#$ %# //#0 % 3 #'(!#$ %# M 3 J$#0

45. ! ,"#!1$"*, $ %# /($ #$" '8&#$ 3 (!"*0& %(!#$ 2 ! 'S3 #!($ %# @!(&%# 3 .(!#$ %# R M .
+#/(,*% %#$ %# //#0 % 3 #'(!#$ %# M 3 J$#0

46. (4( *2(

47. ! ,"#!1$"*, $ %# /($ #$" '8&#$ 3 (!"*0& %(!#$ 2 ! 'S3 #!($ %# @!(&%# 3 .(!#$ %# R M

48. ! ,"#!1$"*, $ %# /($ #$" '8&#$ 3 (!"*0& %(!#$ 2 ! 'S3 #!($ %# @!(&%# 3 .(!#$ %# R M

49. @
@

50. @

51. @
/ ,& '%( O <; J 0
) , 2 0 * ) %

52. @

53. &!+ %# #3 2 /3 # #!"#%#!( ? (4( *$*2 %(!:
$($ 2 ! ()"#'#! / $ ,((!%#' % $ %#/ 2&'"( W(6 ( / *'*,*( %# / ,&!+ %# #3 2 /3 # . / $ ,((!%#' % $ %#/
2&'"( W 6 / =*' / %# / ,&!+ ,*!,&/ !:
B & & * & & & & & &)&:&0-2.&& & & & & %&:&;& >& ,2%&& & >& ,2 & &
& & & & &0 & & 1 & & & & %&
B & &)&:&0-2.&)& & & )I 2 & & & & & R
B! & &0 & & & &L>&:&7 -&4& &&Q&& 0% & 1 & .&)& &S>&:&S Q& & R
B/ & & * &L>&:&L &Q& &-&>7 R.& & ) & &L & &0 * & &S )&R &0 * & &S
B8 & & & & &S )& & &L & & & &S>&)&L>%&

54. @
3
•Si R3 va hacia abajo Ws > F3 particulas estables
•Si R3 va hacia arriba Ws < F3 Granos se levantan
*
0 '
0 - 5 0 * .%

55. Para prevenir tubificación la longitud de filtración debe guardar relación con la
pérdida de carga H.
Esta relación se puede expresar de la forma:
C * H = f ( Longitud)
Donde;
C = coeficiente que depende del tipo de
suelo.
H = perdida de carga
f (longitud) = una función de la longitud
3
f (longitud) = una función de la longitud
de filtración o distancia que debe
recorrer el agua llamada también paso
de filtración.
• H será el mayor valor que se presente
en el periodo de diseño:
En sequía H = H vertedero
Para época de creciente máxima H =
Hvert + Hmáx - d3
•f ( L ) se calcula según la Teoría de E.W .
Lane

56. R X @
3
a.) Paso largo de filtración: Y + 1/3 X >
CL* H
b.) Paso Corto de filtración: Ye + 2 X >
CL* H
Donde:
Y : suma de todos los
recorridos verticales
Ye : suma de las
distancias verticales
exteriores.
X: suma de todos los
recorridos en sentido
horizontal
CL : coeficiente de Lane (
por tabla)

57. R X @
3
) D;E
' , 0 * $
Nota: De no cumplirse ninguna de
las condiciones de Lane deberán
aumentarse las longitudes de
filtración horizontal (Solera Aguas
abajo) o vertical según convenga.
Paso Largo de Filtración:
(a + c + f + g + i) + 1/3 (b + d + e + h) Cl * h
Paso Corto de Filtración:
(a + i) + 2 (b + d + e + h) T K U
ū[ ) ( %

58. ! !# ! $! %
3

59. Y @ :
# 3
' %
4
/ , % / 2(! 3#!( %# ',5( 8# =/.# 2(! %#) 7( %# 2!#$ %#!*+ %(! $#!:
8 E N =J #
VN: 4: 0: E 0 '
: E

60. R X T!%*% $ 2(! =*/! ,*('#$:
Debe trazarse la malla de flujo en el lecho permeable sobre el cual se funda la
estructura.
3

61. / 0 ' 3 0 * 0
$
• 6 0 * 3 1 0 ' %
• 0 0 ' %
• # 0 * * *
Malla de Filtración:
3
• # 0 * * *
0 * %
? 8 * 3 .-. / !# .#
0 0
* M %

62. #0/ $ #'#! /#$ 2 ! #/ ! 4 %( %# / $ // $ %# @*/! ,*-':
3
!*#'%( %#/, $( %# 8# / $ =!('#! $ $(' ,('(,*% $ ,(3 ( #/, $( %# / $ ()! $ %#
%#!*+ ,*-':
. / )
. / )
0 '
. 0 1 0 ' M 0 '
D * ;D * ;
. ? * W IW? ) 0
. !
3 2 1
0. ' *
) 0 *
. 0 0 '
0
%

63. 4
:
•Calcule la subpresión en el punto 1, 2 y 7

64. Z :
%A%D%H% $
5
5
Donde:
s: peso específico sumergido de los
sedimentos
$ 0
#$
$
X $ - .
%
X $
- .
%
2 )$ , %
$ * %
# # $
) %

65. $ )*/*% % / (/, 3 *#'(
5
=
izantesDesestabilMomentos
ntesEstabilizaMomentos
FSV
El Factor de Seguridad al Volcamiento mínimo aceptable es de 1.5
FSV 1.5

66. $ )*/*% % / #$/*4 3 *#'(:
Debe cumplirse la siguiente ecuación.
෤ ෤ุ*)( FHfSPFv−
! $Y8 $ 0 1
#$
Y84$ 0 1 1
%
0 0 *
0 *
5
0 *
$

67. $ )*/*% % / '%*3 *#'(:
! 0 1 0 1
−=
−=
≤+
−
FvMvolcMestabd
dTe
W
T
e
T
SPFv
A
/)(
)2/(
*6
1*
! $X $ *
#$
5$
$ 2 0 1
%
5
! 0 1 0 1
* X 5 # * ,
#5%
Tabla para WA

68. # # 9/ 4 / 5 ) 2
0 3 30 %
# # 5/
! P 2
/ 1 )
( %
Vaso
Tapón
1 21 2
Presa de
Concreto
Presa de
Tierra
Aliviadero

69. 3
@
Z@
? ,
( % - , = .
%
! # $
!! #
Volumen (MMC)
Altura
(msnm)
Altura
(msnm)
Área (Ha)

70. 3
9 %
/ 2 %
B * 0
! # $
!! #
B * 0
0 %
@
/ * PP #3 %
9 ' %

71. ! # $
#
! ' %%'()%) *+,-%. / .01 +2*-(3(4%53+6 +2-%1,)+5%71 )+30(8+39:0(91 )+1+,%'(;0
! ' +2-+813*9+0+(2-+2(+3*21 +2=(),1+3'-,('1 %,%',+%,*0'%,?%9:0(9%@*+9%0-+0?%)+0-,1 )+3
,%0?1 )+1+,%'(;0%3%2-*,5(0%2
! ' %%'()%))+2+)(9+0-12
!# ' %%'()%))+ +,%'(;0. / .+2%'(1 )+0-,1 )+3'*%32+9*+8+03%2%?*%2
! . %%'()%)01,9%31 A-(3.0+'+2%,(%%,%5%3%0'+%,3%2)(210(5(3()%)+25,*-%26 3%2)+9%0)%2
!! ' %%'()%))+'10-,13'2131 '*%0)1 +3+95%32+2+*-(3(4%'191 ,1-+''(;0
! !''%%'()%)%)('(10%3)+'10-,13.01 2+'19*-%)+0-,1 )+3'%%'()%)-1-%3 2+3813*9+0'19,+0)()1 +0-,++3
0(8+3)+%3(8(1 6 +30(8+39B(91 @*+%3'%04%03%2%?*%2+0+3+95%32+ 1(0'()+'10+351,)+2*+,(1,)+3%3(8(%)+,1
! '! (!# '! (! (! (!!

72. ! ! ! )
! ! #
* * + + ,-
3,:1 -,%021,-%2+)(9+0-12C*0)%9+0-%39+0-++0)12C1,9%2D
! # $
%,-:'*3%2 ?,*+2%2 #%,+0% ?,*+2%
'%0-12 ,1)%)12 +E10+2$ 210
-,%021,-%)121,+3C10)1 6%@*+3%
-*,5*3+0'(% 01 12++ +0+,?:%
2*C('(+0-+ %,% 9%0-+0+,3%2 +0
2*2+02(;0
%,-:'*3%2 C(0%2 #%,'(33%2 3(912 6
%,+0%2$ 312'*%3+201 2+)(9+0-%0
%'1910+0-+8+,-('%3=%'(%%,,(5%
)+ 3% 8+31'()%) +29%61,@*+ +3
+21 2*9+,?()1 )+3122+)(9+0-12

73. %,%+2-(9%,+3 +20+'+2%,(1 '101'+,312
2(?*(+0-+2)%-12D
! # $
%0-()%))+ +)(9+0-12 1,-%)12%3+95%32+
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