7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 1/42
CALCULO DE UNA TOMA CONVENCIONAL
Qcap = 2.00 m3/sQmc = 148.00 m3/sL = 8.00 mP = 2.00 m
γm = 2.50 !"/m# = 0.05P$ = 100.00 a%!sCDL = 1&.00 ms"mCA' = 21.00 ms"mCCA = 18.&0 ms"mCA( = 22.00 ms"m
Da!s )* +"a *sac#," -#),#ca
)! Qm m3/s1.05 24.41.50 4.02.00 3.452.40 102.02.0 124.123.00 148.00
Cac+! )* ca+)a +"#a#!
Q = C L 6!73/2
=Qmc
L
=1488.00
= 18.50 m3/s/m
6!73/2 =18.50 as+m#m!s C = 3.40
C
6! = 3.0& ≅ 3.00 m
P 2.00
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 2/42
6! 3.00.
As+m#m!s +* 6! = -! = 3.00 m
Va =
P 9 -!
Va =18.50
2.00 9 3.00
Va = 3. m/s
-a =Va722
-a =3. 72
2 &.81
-a = 0.0 m
6! = -! 9 -a
6! = 3.00 9 0.0
6! = 3.0 m
P=
2.00= 0.54
6! 3.0
a:ac! C = 3.81
-!73/2 =18.503.81
-! = 2.8 ≅ 2.8 m
As+m#m!s +* 6! = -! = 2.8 m
Va =
P 9 -!
18.50
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 3/42
2.00 9 2.8
Va = 3.8 m/s
-a =Va722
-a =3.8 72
2 &.81
-a = 0.4 m
6! = -! 9 -a
6! = 2.8 9 0.4
6! = 3.1 m
P=
2.00= 0.55
6! 3.1
a:ac! C = 3.81
$*s+m*"6! = 3.1 m
-! = 2.8 m-a = 0.4 m
Cac+! )* !s a)#!s $1;$2; <c $c
-a=
0.46! 3.1
-a= 0.20
6!
$a)#! 2 >*#ca$2
= 0.1&86!
$2 = 0.1&8 6!
$2 = 0.1&8 3.1
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 4/42
$2 = 0.1 m
$a)#! 1 >*#ca$1
= 0.326!
$1 = 0.32 6!
$1 = 0.32 3.1
$1 = 1.31 m
E?* @c >*#ca@c
= 0.156!
@c = 0.15 6!
@c = 0.15 3.1
@c = 0.0 m
E?* <c >*#ca<c
= 0.04&
6!
<c = 0.04& 6!
<c = 0.04& 3.1
<c = 0.18 m
Cac+! )* P*# )* C$EABE$
< = @ 7"6! 6!
< = 0.4@ 71;838
3.13.1
< = 0.15&2 @ 7 1.838
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 5/42
@ <0.50 0.0445481.00 0.15&21.50 0.3355&2.00 0.5&4022.50 0.858103
3.00 1.200
$3 = 0.50 6
$3 = 0.50 2.10
$3 = 1.05 m
Cac+! )* caa)! c!"a#)!
T! = 6 9 6!
T! = 2.10 9 3.1
T! = 5.1 m
=
2 T! 71/2
=18.50
1 2&;81 5.1 71/2
18.50 = )c!" 1 2&;81 5.1 71/2
)c!")c!"
)c!")c!"
)c!"
0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50
-1.4
-1.2
-1
-0.8
-0.6
-0.4
-0.2
0
P*.A#/ C.*a0*.
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 6/42
18.50 = 18.50
= 2.244 m
<2 = )c!"
1 9 1 9 8 2 )c!"73 71/2
2
<2 = 2.244
1 9 1 9 8 342.3 2.244 73 71/22 &.81
<2 = 4.5 m
C!as )* *sp*?! a+as a:a?! = 22.00 = 1.4 m
C!a )* c+*"c! 9 <2 = 23.4
C!*c#," )* a )#**"c#a )* c!as )* *sa! -#)F+#c!
* = 1 <2 )! = 1.00 1.
* = 1.20 4.5 3.00
* = 2.4&1& m ≅ 2.50 m
C!a )* c+*"c! am!#+a)! = 1.40 m
= 4.0 m
@ <0.50 0.0445481.00 0.15&21.50 0.3355&2.00 0.5&4022.50 0.858103
3.00 1.2003.50 1.5&34.00 2.03
6 = 21.00 1.40
6 = 4.0 m
)c!"
D#**"c#a )* c!as )* aG+) * c+a"c!am!#+a)!
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 7/42
$3 = 0.50 6
$3 = 0.50 4.0
$3 = 2.30 m
T! = 6 9 6!
T! = 4.0 9 3.1
T! = 8.21 m
=
2 T! 71/2
=18.50
1 2&;81 8.21 71/2
18.50 = )c!" 1 2&;81 8.21 71/2
18.50 = 18.50
= 1.28 m
<2 = )c!"
1 9 1 9 8 2 )c!"73 71/2
2
<2 = 1.28
1 9 1 9 8 342.3 1.28 73 71/22 &.81
<2 = 5.8 m
C!as )* *sp*?! a+as a:a?! = 22.00 = 0.18 m
C!a )* c+*"c! 9 <2 = 22.18
Cac+! )* a !"#+) )* *sa! -#)F+#c!
D#*m!s +* * )c!" = <1
L#:! )* (+*a+HL$ = .&0 <2 <1
)c!")c!"
)c!" )c!"
)c!"
)c!"
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 8/42
L$ = .&0 5.8 1.3
L$ = 28. m
!m+a )* JIENC6INH
L$ = <2 )c!" c+a")! = 5.
L$ = 5 5.8 1.28
L$ = 20.8 m
Cac+! )* a !"#+) )* c+*"c! am!#+a)!
Lc = 1.10 a 1.20 L$
Lc = 1.20 28.
Lc = 34.40 m ≅ 35.00 O
L!"#+) )* *"!ca)!
L* = 1.50 a 2.00 )s
)s = 1.5 a 2.00 -
: = 1. D50 71/2 c+a")! D50= 0
: = 1. 0 71/2
: = 13.3
- = 1.34 72 71/3:
- = 1.34 342.25 71/313.3
- = 3.&2 m
N!aH J*K" !s cac+!s *a#Ga)! *" * s!a* 6ca"a*s 3.0 a !m+a +* s* ac*ca a s+s *s+a)!a )* JIENC6IN
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 9/42
)s = 1.5 -
)s = 1.5 3.&2
)s = 5. m 9 $*c = .00 m
L* = 1.50 )s
L* = 1.50 .00
L* = &.00 ≅ &.00 m
Cac+! )* a !"#+) )* )*a"a
NMC = C!a )*a"a 9 P 9 6!
NMC = 1&.0 9 2.00 9 3.1
NMC = 24.1 m.s.".m.
CA( = 22.00 m.s.".m.
6 = NMC CA(
6 = 24.1 22.0
6 = 2.1 m
L) = .00 6
L) = .00 2.1
L) = 15. m ≅ 1.00 m
Cac+! )* a !"#+) )* !s )*"*!"*s D1; D2 < D3
D1 = 0.5 a 0.80 6
D1 = 0.5 6
D1 = 0.5 2.1
D1 = 1.& m ≅ 2.00 m
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 10/42
D2 = 1.00 a 1.50 6
D2 = 1.00 6
D2 = 1.00 2.1
D2 = 2.1 m ≅ 2.0 m
D3 = 0.30 6
D3 = 0.30 6
D3 = 0.30 2.1
D3 = 0.8 m ≅ 0.80 m
Cac+! )* a *sa:##)a) )* aG+)
D**m#"ac#!" )* p*s! p!p#! )* aG+) m*)#a"* * s!a* a+!CAD 2014
B = γ *a L
B = 2.20 25.45 8.00
B = 44.&2 !"
Cac+! )* a )#**"c#a )* "#>**s )* A+as A#:a a+as a :a?!.
6 = A.A. a.a.
6 = 24.1 22.00
N*aH25.45M2
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 11/42
6 = 2.1 m
Cac+! )* a !"#+) )* p+"! s* +:#cac#," )* a s+p*s#!".
L = V 9
1
6 c+a")!H3
V = D1 9 D1* 9 D2 9 C!a E C!a C9*9D3
V = 2.00 9 1.50 9 2.0 9 .&0 9 0.80
V = 13.80 m
6 = L) 9 9 9 *
6 = 1.00 9 .43 9 35.00 9 0.50
6 = 5.&3 m
LT = V 91
63
LT = 13.80 91
5.&33
LT = 33.11 m
J+p*s#!" *" * p+"! A
= 91
3
= D1 9 D1 * 9 D2
= 2.00 9 2.00 0.50 9 2.0
= .10 m
= * 9 L)
= 0.50 9 1.00
LA' LC
LA VA 6A
VA
VA
VA
6A
6A
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 12/42
= 1.50 m
= 91
3
= .10 9
1
1.503
= 11.0 m
= 6 6L
= 2.1 11.0
2.133.11
= 1.0 !"
J+p*s#!" *" * p+"! (
= 91
3
= D1 9 D1 * 9 D2
= 2.00 9 2.00 0.50 9 2.0
= .10 m
= * 9 L) 9
= 0.50 9 1.00 9 .43
= 22.&3 m
= 9 1 3
= .10 91
22.&33
= 13.4 m
6A
LA VA 6A
LA
LA
JALA
JA
JA
L( V( 6(
V(
V(
V(
6( LA'
6(
6(
L( V( 6(
L(
L(
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 13/42
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 14/42
+*Ga 6#)!sa#ca
Cac+! )* a* )* c!"*"c#!"
A = L P
A = 8.00 2.00
A = 1.00 m2
D#sa"c#a )* *sp*?! )* a+a a a m#a) )* paam*"!
-c = NMC CDL P2
-c = 24.1 1&.0 2.002
-c = 4.1 m
Cac+! )* a +*Ga -#)!sF#ca
1 = γ -c A
1 = 1 4.1 1.0
1 = 3. !"
P+"! )* ap#cac#,"
< =Ic
9 -cc+a")! Ic *sH
-c A
Ic =L P3
12
Ic = 8.00 8.0012
Ic = 5.33333 cm4
< =5.33
9 4.14.1 1.0
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 15/42
< = 4.8 m
P*s#," )* s*)#m*"!s
P.s*) =1
γs -72 a"72 45 ø
L2 2
c+a")! ø = 30γs = γm
γs = 2.50 1.00
γs = 1.50 !"/m
- = P = 2.00
P.s*) =1
1.5 4.0 a"72 45 30
8.002 2
P.s*) = 8.00 !" 0.3333
P+"! )* s*)#m*"!s
P.ap# =P3
P.ap# =2.00
3
P.ap# = 0. m
P*s#!" s#sm#ca )*:#)! a a+a *m:asa)a
Ps#s = 0.2 Pc γL E" )!")*
6 = NMC CDL
6 = 24.1 1&.0
6 = 5.1 m
)s#s = 0.425 6
γ62O
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 16/42
)s#s = 0.425 5.1
)s#s = 2.38 m
<1 = 6 )s#s
<1 = 5.1 2.38
<1 = 3.23 m
Cac+! )* c!*#c#*"* )* )*scaa
C =
<=
3.23= 0.558
- 5.1
C = 0.5
P* = C R γ 6
P* = 0.5 0.30 1.00 5.1
P* = 1.0&
Ps#s = 0.2 P* <1 L
Ps#s = 0.2 1.0& 3.23 8.00
Ps#s = 20.52 !"
P*s#!" p! **c!s s#sm#c!s )*:#)!a a p*! p!p#! )* a !:a
= B α c+a")! α = 0.20
= 44.&2 0.20
= 8&.58 !"
P*s#!" -#)!sa#ca a+as a:a?!
2 =1
γ).c!"72 Lc+a")! )c!" = 1.2
2
PBs#s
PBs#s
PBs#s
∫1 1▒ /
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 17/42
2 =1
2.5 8.002
2 = 10.0 !"
P+"! )* ap#cac#,"
P.ap# =).c!"
3
P.ap# =1.28
3
P.ap# = 0.54 m
ACTO$EJ DE JEBU$IDAD
Esa:##)a) )* aG+) a )*s#Gam#*"!
= B
= 44.& 82.88
= 35.0 !"
= Ps#s 9 Ps*) 9 1 9 2
= 20.52 9 8.00 9 3. 9 8&.58 10.0
= 181.2 !"
sS = 1.20
sS = 35.04 0.0181.2
sS= 1.21
Esa:##)a) a >!cam#*"!
Cac+am!s *" p+"! ( #"a )* aG+)
V JT
V
V
6 PBJIJ
6
6
V
6
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 18/42
= 2 ).c!"
9 0.50 9B ( CB@
3
= 10.01.28
9 0.50 944.&2 4.13
3
= 180.& !"m
M> = 112.4 9 30.13 9 302.42 9 143.33 9 2&.
M> = 885.05 !"m
> = 1.50
> =180.&885.05
> = 2.10 1.50
Es+*G! *" a c#m*"ac#!"
@ =
@ =180.& 885.05
35.0
@ = 2. m
(=
.4= 2.15
3 3
M> = 112.4 9 30.13 9 302.42 9 143.33
443.44 9 28.5& &.&1
M> = 13.58 !"m
ME
ME
ME
M> = Ps#s ) 9 Ps*) ) 9 1 ) 9PBJIJ ) 9 JT )
ME
MV
MV M6V
Mm= Ps#s ) 9 Ps*) ) 9 1 ) 9 PBJIJ ) B ) 9 JT ) 2 )
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 19/42
Ec*"#c#)a)*s
* =Mm
S(
=.4
= 1.0833=
* =
13.58
35.0
* = 0.45 S 1.083
= 1 ∓
*
( L (
= 35.0 1 9
0.45
.4 8.00 .4
= 10.00
= 1
*
( L (
= 35.0 1
0.45
.4 8.00 .4
= 4.11
DIJEWO DE LA (OCATOMA < $EXA DE ENT$ADA
c+a")! * a"c-! )* a *?a s* as+m* +" >a! )* 6 = 0.50 m c!"s#)*am!s +* #"#c#am*"* )* <1 *s #+a a paam*"!
M! = 1.8&
E ca+)a )* capac#!" *s Q = 2.00 m3/s
V $ N
Y12 V
Y12
Y12
Y1 V
Y1
Y1
Mo=[0.407+(0.045∗H)/(H+Y1)]∗[1+0.28∗(H/(H+Y1))^2 ]∗√(2∗g)
[0.407+(0.045∗0.5)/(0.5+1.50)]∗[1+0.28∗(0.5/(0.5+1.50))^2 ]∗√(2∗9.81)
=Mo∗!∗H^(3"2)
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 20/42
: = 2.&& 3.00 m
: =3Z
: =3
0.85
: = 3.52&4
3.0= 30
0.1
30 0.012 = 0.381 m
A"c-! !a )* a *?a
3.00 9 0.381 = 3.38
As+m#m!s a s*paac#!" )* !s :a!*s )* 10 cm *" +" a"c-! )* as pa#"as *s )* 1.2 cm; -a:#*")!am:#*" a !pc#!" )* c!"s+# )* -!m#!" ama)!! p! p*#*s.
= ∗
=2.00/(1.89∗〖 0.5〗^(3"2) )
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 21/42
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 22/42
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 23/42
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 24/42
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 25/42
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 26/42
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 27/42
0
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 28/42
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 29/42
0
cm
*s
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 30/42
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 31/42
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 32/42
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 33/42
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 34/42
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 35/42
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 36/42
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 37/42
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 38/42
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 39/42
1
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 40/42
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 41/42
7/23/2019 Toma Convencional Definitivo
http://slidepdf.com/reader/full/toma-convencional-definitivo 42/42