Trabajo de Sifones 2015 II

8/17/2019 Trabajo de Sifones 2015 II

1/119

(A) DATOS

(1) Elemento a cruzar : Cañada

(2) Caudal : Q =4.0 m!"e#

($) %eloc&dade" : 1.' m!"e# 1.' m!"e#

(4) # = .'1 m!"e#*

(+) C,-C-OS:

(/) &el del a#ua en la e"tac&n A: $.330 m&el del a#ua en la e"tac&n : $.4/ m

() 5rad&ente de eloc&dad:

0.1'4 m 0.1'4 m

(') Tran"&c&n de entrada 6 "al&da:

() 7ater&al del tu8o a u"ar: Concreto 9re"orzad

(10) D&;metro del tu8o:

A = Q!% = 4.0 m!"e# ! 1.' m!"e# = 2.1$ m*

%1= %

2=

1=

2=

E"te "&n cruzar; una cañada 9or lo Bue reBu&ere

una e"tructura de entrada 6 "al&da en concreto. El

t&9o de tran"&c&n a u"ar "er; del t&9o (cu8&ert

9art&da) tanto 9ara la entrada como 9ara la "al&d


2/119

(1$)


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Eleac&n E : Eleac&n D ∆

∆ = F S

-on#&tud tu8o or&zontal: 1.00 m S= 0.00

∆ = 1.00 m F 0.00 = 0.1$$0 m

Eleac&n E = 1.0$ m 0.1$$0 m = 0.0

(1')

Conurac&on &dr;ul&ca de la tran"&c&n de "al&d1./'' m

Eleac&n 5 : 2.30 m G 0.0013 m F 40.10 m

Eleac&n 5 = 2.44 m

Eleac&n J = Eleac&n 5 G 9

9= K 1./31 m = 0.'2/ m

Eleac&n J = 2.44 m G 0.'2/ m = 1./1 m

$./2 m 0.33 m

Sello &dr;ul&co a la "al&da :

1.03 0.'2/m G 1./'' m = 0.1 m

0.1 m H t ! / = 0.2'1 m

(1) Eleac&n = 2.44 G 0.0013 m L 13.00 m

Eleac&n = 2.42 m

-or&zontal

t=

2= 6

2=


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2/.2/ m F 0.001 m = 0.0224 m

c.G

C = 0.23

2 F C F 12!0 F 0.1' m = 0.0$$

d.G

0./3 F 0.1'1 m G 0.1'4 m

0.000 m

0.0/1 m

(22)D&men"&one" de la tran"&c&n de entrada 6 "al&da

D&men"&n 6 :

6 =

6 = $.33 m G 2.30 m 0.0m = 2.00

D&men"&n a :

a = (Eleac&n + 6) G Eleac&n C

a = 2.30 m 2.00m G 1. m = 2.1

D&men"&n C :

D = D& ! d&

D = 1./30m ! 1.03m = 1./N

Determ&nar alor D ta8la 1 "ecc&n 2.2./.2.1

=


5/119

(2$)


6/119

2204.3' G 2201.0$ ! 0.'02

$./2 m

- = 1.00 m $./$ m $./2 m

- = 2/.23 m

(23)

a.G0.40F 0.1' m G 0.1' m = 0.00000 m

8.G


7/119

o

de

.


8/119


9/119

m

:


10/119


11/119


12/119

1


13/119

CL

E "

t .

A

=

2

1 3 / .

4 '

E l

e .

A

=

2 .

3 0 m

E "

t .

+

=

2

1 1 .

4 '

E l

e .

+

=

2 .

3 0 m

E "

t .

C

=

2

1 ' .

4 '

E l

e .

C

=

1 .

m

E "

t .

D

=

2

1 ' 2 .

0 $

E l

e .

D

=

1 .

0 $ m

E "

t .

Q

=

2

1 1 .

3 $

E l

e .

Q

=

0 .

m

E "

t .

E

=

2

2 0 1 .

0 $

E l

e .

E

=

0 .

0 m

E "

t .

J

= 2

2 0 4 .

3 '

E l

e .

J

=

1 .

/ 1 m

E "

t .

5

= 2

2 1 1 .

3 '

13.00 m .00 m .00 m

d 1

=

1 .

0 3

m

.A. Ele. = $.33m .A El

= 0.3 m PPP Q =4.0 m!"e# S2 = 0.00 PPP

$.33 m D&;metro del tu8o = /3 9ul#" $.33 m

1.00 m

DISEÑO SIFON INVERTIDO # 1

8&cac&n: Est. 2+178.48 R Est. 2+204.58

61 α

1α

2

62

S 1 S 3

1 = $ ./ $ m 2 = $./

2 m


14/119


15/119

E

l e .

5

=

2 .

4 4 m

E

" t .

= 2

2 2 / .

3 '

E

l e .

=

2 .

4 2 m

13.00 m

. = $.4m

d 2

=

1 .

0 3

m

= 0.3 m


16/119


17/119

-t=$D& -t=$D&

e =

0 .

' 0 m

e= 0 . ' 0 m

tN=0.20m tN=0.20m

1 0 .1 3 m

1 0 .

1 3

m

1 .

3 ( 6 G

0

. 1 3 ) =

2 .

' m

/ 1 . 3 ( 6G 0 .1

3 ) =2 . ' m

tN=0.20m tN=0.20m

/ /

C =

$ .

0 0 m

+ + C= $ . 0 0 m

1 .

3 ( 6 G

0 .

1 3 ) =

2 .

' m 1

. 3 (

6G 0 .1 3 ) =2 . ' m

2.3

e =

0 .

' 0 m

e= 0 . ' 0 m

%STA E


18/119

(A) DATOS


(2) Caudal : Q =4.0 m!"e#

($) %eloc&dade" : 1.' m!"e#

(4) # = .'1 m!"e#*

(+) C,-C-OS:

(/) &el del a#ua en la e"tac&n A:&el del a#ua en la e"tac&n :


0.1'4 m 0.1'4 m


() 7ater&al del tu8o a u"ar: Con


A = Q!% = 4.0 m!"e# ! 1.' m!"e

%1= %

2

1=

2=

E"te "&n cruzar; una cañada 9or lo Bue reBu&e

entrada 6 "al&da en concreto. El t&9o de tran"&c

t&9o (cu8&erta 9art&da) tanto 9ara la entrada


19/119

(1$)


20/119


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40.22 m F 0.001 m

c.G

C = 0.23

2 F C F 12!0 F 0

d.G

0./3 F 0.1'1 m G

0.000 m0.04 m


D&men"&n 6 :

6 =

6 = 2.$3 m G 1.$0 m

D&men"&n a :


a = 1.$0 m 2.00m G D&men"&n C :

D = D& ! d&

D = 1./30m ! 1.03m =

Determ&nar alor D ta8la 1 "ecc&

=


22/119

(2$)


23/119

230. G 23'3.

3.12 m

- = $0.00 m 3.11 m

- = 40.2$ m

(23)

a.G

0.40F 0.1' m G 0.1' m

8.G


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1.' m!"e#

2.$30 m2.24 m

creto 9re"orzado

# = 2.1$ m*

=

e de una e"tructura de

&n a u"ar "er; del

como 9ara la "al&da.


25/119

.000'$321/

m>n&mo

ad&c&onal

. A:

/

/

ada:

1.30 x

= 0.000m

0.0/m

∆hv


26/119

∆

S= 0.00

00 m = /.$1 m

da:

F 34.00 m

m = 0.$ m

0.1 m

L 13.00 m


27/119

= 0.0$314 m

1' m = 0.0$$ m

0.1'4 m

.0m = 2.00m

.3 m = 2.1m

1./N

n 2.2./.2.1


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2330.0 m

/.32 m

"t. or&z.

11.

23'3.0 m

/.$1 m

"t. or&z.

α1

=


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! 0.431

3.12 m

= 0.00000 m

= 0.0$314 m

F 0.1' m

m = 0.000 m

"al&da

2.3 F N


30/119

CL

E

" t .

A

=

2

3 2 ' .

0

E

l e .

A

=

1 .

$ 0 m

E

" t .

+

=

2

3 4 $ .

0

E

l e .

+

=

1 .

$ 0 m

E

" t .

C

=

2

3 3 0 .

0

E

l e .

C

=

0 .

3 m

E

" t .

D

=

2

3 3 3 .

0

E

l e .

D

=

/ .

3 2 m

E

" t .

Q

=

2

3 0 .

0

E

l e .

Q

=

/ .

4 2 m

E

" t .

E

=

2

3 ' 3 .

0

E

l e .

E

=

/ .

$ 1 m

E

" t .

J

= 2

3 0 .

0

E

l e .

J

=

0 .

$ m

E

" t .

5

= 2

3 .

0

13.00 m .00 m .00 m

d 1

=

1 .

0 3

m

.A. Ele. = 2.$3m .A El

= 1.0/ m PPP Q =4.0 m!"e# S2 = 0.00 PPP

3.00 m D&;metro del tu8o = /3 9ul#" 3.00 m

$0.00 m


8&cac&n: Est. 2+550.90 R Est. 2+590.90

61 α

1α

2

62

S 1 S 3

1 = 3 .11 m 2 = 3. 1

2 m


31/119


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E l e .

5

=

1 .

2 2 m

E " t .

= 2

/ 1 2 .

0

E l e .

=

1 .

2 0 m

13.00 m

. = 2.23m

d 2

=

1 .

0 3

m

= 1.0/ m


33/119


34/119

-t=.00m -t=.00m

e =

0 .

' 0 m tN=0.20m

e= 0 . ' 0 m

tN=0.20m

1 0 .1 3 m

1 0 .

1 3

m

1 .

3 ( 6 G

0 .

1 3 ) =

2 .

' m / 1

. 3 ( 6G 0 .1 3

) =2 . ' m

tN=0.20m tN=0.20m

/ /

C =

$ .

0 0 m

+ + C= $ . 0 0 m

1 .

3 ( 6 G

0 .

1 3 )

= 2 .

' m 1

. 3 ( 6

G 0 .1 3 ) =2 . ' m

2.3

e =

0 .

' 0 m

e= 0 . ' 0 m

%STA E


35/119

(A) DATOS

(1) Elemento a cruzar : Arro6o +acu>

(2) Caudal : Q =4.0 m!"e#

($) %eloc&dade" : 1.' m!"e# 1.' m!"e#

(4) # = .'1 m!"e#*

(+) C,-C-OS:

(/) &el del a#ua en la e"tac&n A: /.$30 m

&el del a#ua en la e"tac&n : /.211 m


0.1'4 m 0.1'4 m




A = Q!% = 4.0 m!"e# ! 1.' m!"e# = 2.1$ m*

D& =1./30 m = /3 9ul#

(11)


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(14) +orde l&8re : 0./0m m>n&mo

0.$0m ad&c&onal

+orde l&8re total : 0.0m

(13) Eleac&n 8anBueta del canal en la E"t. A:

/.$3 m 0.0 m = 0.23 m

(1/)An#ulo de do8lado

12 co"eno 12 = 0.'14'

"eno 12 = 0.2012

(1)

A8ertura ert&cal t=1./'' m

Sello &dr;ul&co a la entrada = 1.30 x

1.30 F 0.1'1 m G 0.1'4 m = 0.000m

"ello &dr;ul&co &n"u&c&ente u"ar 0.0/ m.

Eleac&n /.$3 m G 1./'' m G 0.0/m

Eleac&n C = /.3 m

J8 normal

=

J8 ad&c =

J8 total

=

E"te 8orde l&8re de8e eFtender"e una lon#&tudde 13 m a#ua" arr&8a del "&n &nert&do.

α1

=

Conurac&on &dr;ul&ca de la tran"&c&n deentrada:

∆hv

D&erenc&a de la eleac&one" &nert&da"l & &


37/119

∆ = F S


∆ = 4.00 m F 0.00 = 0.$20 m

Eleac&n E = /3.'$ m 0.$20 m = /3.30

(1')

Conurac&on &dr;ul&ca de la tran"&c&n de "al&d

1./'' m

Eleac&n 5 : /'.$0 m G 0.0013 m F .4 m

Eleac&n 5 = /'.1' m


9= K 1./31 m = 0.'2/ m

Eleac&n J = /'.1' m G 0.'2/ m = /.$/ m

'.42 m 1.3$ mSello &dr;ul&co a la "al&da :

1.03 0.'2/m G 1./'' m = 0.1 m

0.1 m H t ! / = 0.2'1 m

(1) Eleac&n = /'.1' G 0.0013 m L 13.00 m

Eleac&n = /'.1/ m

(1) /$.'/ m

-or&zontal

t=

2 = 62 =

-on#&tud "&n :


38/119

C = 0.23

2 F C F 12!0 F 0.1' m = 0.0$$

d.G

0./3 F 0.1'1 m G 0.1'4 m

0.000 m

0.0 m


D&men"&n 6 :

6 =

6 = /.$3 m G /'.$0 m 0.0m = 2.00

D&men"&n a :


a = /'.$0 m 2.00m G /.3 m = 2.1

D&men"&n C :

D = D& ! d&

D = 1./30m ! 1.03m = 1./N



39/119

Tu8o entre E"tac&n C 6 E"tac&n D :

D&"tanc&a or&zontal :

D&"t. or&z. = $/$4.3 m G $/2/.0 m

D&"t. or&z. = '.24 m

D&"tanc&a %ert&cal :

D&"t. %ert. = /.3 m G /3.'$ m

D&"t. %ert. = 1.3 m

D&"t. %ert. ! D&"t. or&z.

0.2123

0.2123 11.

Tu8o entre E"tac&n E 6 E"tac&n J :


D&"t. or&z. = $/0.1 m G $/'1.3 m

D&"t. or&z. = '.23 m


D&"t. %ert. = /.$/ m G /3.30 m

D&"t. %ert. = 1.'3 m


0.223

0.223 PPP

S1 =

S1 =

α1

= tan#G1 α1 =

S2 =

S1 =

α2

= tan#G1 α2 =


40/119


41/119

o

ara


42/119


43/119

m

:


44/119

m

m

m


45/119


46/119


47/119

CL

E " t .

A

=

$

/ 0 4 .

0

E l e .

A

=

/ ' .

$ 0 m

E " t .

+

=

$

/ 1 .

0

E l e .

+

=

/ ' .

$ 0 m

E " t .

C

=

$

/ 2 / .

0

E l e .

C

=

/ .

3 m

E " t .

D

=

$

/ $ 4 .

3

E l e .

D

=

/ 3 .

' $ m

E " t .

Q

=

$

/ 3 ' .

4 3

E l e .

Q

=

/ 3 .

/ m

E " t .

E

=

$

/ ' 1 .

3

E l e .

E

=

/ 3 .

3 0 m

E " t .

J

= $

/ 0 .

1

E l e .

J

=

/ .

$ / m

E " t .

5

= $

/ .

1

13.00 m .00 m .00 m

d 1

=

1 .

0 3

m

.A. Ele. = /.$3m .A El

= 1.3 m PPP Q =4.0 m!"e# S2 = 0.00 PPP

'.23 m D&;metro del tu8o = /3 9ul#" '.23 m

4.00 m


8&cac&n: Est. 3+626.70 R Est. 3+690.19

61 α

1α

2

62

S 1 S 3

1 = ' .4 $ m 2 = '.4

3 m


48/119


49/119

E l e .

5

=

/ ' .

1 ' m

E " t .

= $

1 2 .

1

E l e .

=

/ ' .

1 / m

13.00 m

. = /.21m

d 2

=

1 .

0 3

m

= 1.3 m


50/119


51/119

-t=.00m -t=.00m

e =

0 .

' 0 m tN=0.20m

e= 0 . ' 0 m

tN=0.20m

1 0 .1 3 m

1 0 .

1 3

m

1 .

3 ( 6

G 0 .

1 3 ) =

2 .

' m

/ 1 . 3 ( 6G 0 .1 3 )

=2 . ' m

tN=0.20m tN=0.20m

/ /

C =

$ .

0 0 m

+ + C= $ . 0 0 m

1 .

3 ( 6 G

0 .

1 3

) =

2 .

' m 1

. 3 ( 6G

0 .1 3 ) =2 . ' m

e =

0 .

' 0 m

e= 0 . ' 0 m

%STA E


52/119

(A) DATOS

(1) Elemento a cruzar :


53/119

(1$)


54/119


∆ = F S-on#&tud tu8o or&zontal: .00 m S= 0.00

∆ = .00 m F 0.00 = 0.040 m

Eleac&n E = /'.$ m 0.040 m = /'.''

(1')


2.1$3 m

Eleac&n 5 : 0.$0 m G 0.0003$ m F 23.0 m

Eleac&n 5 = 0.2 m


9= K 2.00 m = 1.00$ m

Eleac&n J = 0.2 m G 1.00$ m = /.2' m

1.34$ m 0.32' m


1.$ 1.00$m G 2.1$3 m = 0.24 m

0.24 m H t ! / = 0.$3/ m

(1) Eleac&n = 0.2 G 0.0003$ m L 13.00 m

Eleac&n = 0.2' m

-or&zontal

t =

2= 6

2=


55/119

10.0 m F 0.000$ m = 0.00$11 m

c.G

C = 0.232 F C F 20!0 F 0.0'2 m = 0.01

d.G

0./3 F 0.0'1/ m G 0.0'$3 m

G0.001 m

0.022 m


D&men"&n 6 :

6 =6 = 1./ m G 0.$0 m 0.0m = 2.00

D&men"&n a :


a = 0.$0 m 2.00m G /.4/ m = 2.'4

D&men"&n C :

D = D& ! d&

D = 1.3m ! 1.$m = 1.3N



56/119

(2$)


57/119

1.30 m

- = .00 m 1.34 m 1.30 m- = 10.03 m

(23)

a.G

0.40F 0.0'4 m G 0.0'2 m = 0.00000 m

8.G


58/119

o

de

.


59/119


60/119

m

:


61/119

m

m

m


62/119


63/119

m


64/119

CL

E " t .

A

=

4

2 .

0 0

E l e .

A

=

0 .

$ 0 m

E " t .

+

=

4

4 2 .

0 0

E l e .

+

=

0 .

$ 0 m

E " t .

C

=

4

3 0 .

0 0

E l e .

C

=

/ .

4 / m

E " t .

D

=

4

3 1 .

4 3

E l e .

D

=

/ ' .

$ m

E " t .

Q

=

4

3 4 .

3

E l e .

Q

=

/ ' .

1 m

E " t .

E

=

4

3 ' .

4 3

E l e .

E

=

/ ' .

' ' m

E " t .

J

= 4

3 .

0

E l e .

J

=

/ .

2 ' m

E " t .

5

= 4

/ .

0

13.00 m '.00 m '.00 m

d 1

=

1 .

$

m

.A. Ele. = 1./m .A El

= 0.3$ m PPP Q =4.0 m!"e# S2 = 0.00 PPP

1.43 m D&;metro del tu8o = 9ul#" 1.43 m

.00 m


8&cac&n: Est. 4+950.00 R Est. 4+959.90

61 α

1α

2

62

S 1 S 3

1 = 1.3 4 m 2 = 1. 3

0 m


65/119


66/119

E l e .

5

=

0 .

2 m

E " t .

= 4

' 2 .

0

E l e .

=

0 .

2 ' m

13.00 m

. = 1./3m

d 2

=

1 .

$

m

= 0.3$ m


67/119


68/119

-t='.00m -t='.00m

e =

0 .

' 0 m tN=0.20m

e= 0 . ' 0 m

tN=0.20m

1 1 .1 3 m

1 1 .

1 3

m

1 .

3 (

6 G

0 .

1 3 ) =

2 .

' m

/ 1 . 3 ( 6G 0 .1 3 ) =

2 . ' m

tN=0.20m tN=0.20m

/ /

C =

4 .

0 0 m

+ + C=4 . 0 0 m

1 .

3 ( 6 G

0 .

1

3 ) =

2 .

' m 1

. 3 ( 6G 0

.1 3 ) =2 . ' m

e =

0 .

' 0 m

e= 0 . ' 0 m

%STA E


69/119


(2) Caudal : Q =4.0 m!"e#

($) %eloc&dade" : 1.2' m!"e# 1.2' m!"e#

(4) # = .'1 m!"e#*

(+) C,-C-OS:

(/) &el del a#ua en la e"tac&n A: 0.00 m

&el del a#ua en la e"tac&n : 0.041 m


0.0'$3 m 0.0'$3 m




A = Q!% = 4.0 m!"e# ! 1.2' m!"e# = $.123 m*

%1= %

2=

1=

2=





(1$)


70/119

(14) +orde l&8re : 0./0m m>n&mo

0.$0m ad&c&onal



0.0 m 0.0 m = 0. m


12 co"eno 12 = 0.'14'"eno 12 = 0.2012

(1)

A8ertura ert&cal t=2.031 m

Sello &dr;ul&co a la entrada = 1.30 x

1.30 F 0.0'1/ m G 0.0'$3 m = G0.00$m


Eleac&n 0.0 m G 2.031 m G 0.0/m

J8 normal

=

J8 ad&c

=

J8 total

=


α1

=


∆hv


71/119


∆ =F S

-on#&tud tu8o or&zontal: 1'.00 m S= 0.00

∆ = 1'.00 m F 0.00 = 0.12/0 m

Eleac&n E = /.2 m 0.12/0 m = /.1

(1')


2.031 mEleac&n 5 : /'.0 m G 0.0003$ m F 40.1$ m

Eleac&n 5 = /'./' m


9= K 2.00 m = 1.00$ m

Eleac&n J = /'./' m G 1.00$ m = /./' m

$.1$$ m 0./31 m


1.$ 1.00$m G 2.031 m = 0.$2 m

0.$2 m H t ! / = 0.$42 m

(1) Eleac&n = /'./' G 0.0003$ m L 13.00 m

Eleac&n = /'./ m

-or&zontal

t =

2= 6

2=


72/119


73/119

(2$)


74/119

$.11 m

- = 1'.00 m $.1$ m $.11 m

- = 24.24 m

(23)

a.G

0.40F 0.0'4 m G 0.0'2 m = 0.00000 m8.G


75/119

o

de

.


76/119


77/119


78/119

m

m

m


79/119


80/119

m


81/119

CL

E " t .

A

=

/

0 ' .

'

E l e .

A

=

/ ' .

0 m

E " t .

+

=

/

1 0 2 .

'

E l e .

+

=

/ ' .

0 m

E " t .

C

=

/

1 1 0 .

'

E l e .

C

=

/ .

4 m

E " t .

D

=

/

1 1 $ .

4

E l e .

D

=

/ .

2 m

E " t .

Q

=

/

1 2 2 .

4

E l e .

Q

=

/ .

2 $ m

E " t .

E

=

/

1 $ 1 .

4

E l e .

E

=

/ .

1 m

E " t .

J

= /

1 $ 3 .

0 0

E l e .

J

=

/ .

/ ' m

E " t .

5

= /

1 4 $ .

0 0

13.00 m '.00 m '.00 m

d 1

=

1 .

$

m

.A. Ele. = 0.0m .A El

= 0./3 m PPP Q =4.0 m!"e# S2 = 0.00 PPP

$.0 m D&;metro del tu8o = 9ul#" $.0 m

1'.00 m


8&cac&n: Est. 6+110.87 R Est. 6+135.00

61 α

1α

2

62

S 1 S 3

1 = $ .1$ m 2 = $. 1

1 m


82/119


83/119

E l e .

5

=

/ ' .

/ ' m

E " t .

= /

1 3 ' .

0 0

E l e .

=

/ ' .

/ m

13.00 m

. = 0.04m

d 2

=

1 .

$

m

= 0./3 m


84/119

-t='.00m -t='.00m


85/119

e =

0 .

' 0 m tN=0.20m

e= 0 . ' 0 m

tN=0.20m

1 1 .1 3 m

1 1 .

1 3

m

1 .

3

( 6 G

0 .

1 3 ) =

2 .

' m

/ 1 . 3 ( 6G 0 .1 3 ) =2

. ' m

tN=0.20m tN=0.20m / /

C =

4 .

0 0 m

+ + C=4 . 0 0 m

1 .

3 ( 6 G

0 .

1 3 ) =

2 .

' m 1

. 3 ( 6G 0 .

1 3 ) =2 . ' m

e =

0 .

' 0 m

e= 0 . ' 0 m

%STA E


86/119

(2) Caudal : Q =3.0 m!"e#

($) %eloc&dade" : 1.30 m!"e# 1.30 m!"e#

(4) # = .'1 m!"e#*

(+) C,-C-OS:

(/) &el del a#ua en la e"tac&n A: 1.00 m

&el del a#ua en la e"tac&n : 1.002 m


0.114 m 0.114 m




A = Q!% = 3.0 m!"e# ! 1.30 m!"e# = $.$$$ m*

%1 = %2 =

1=

2=





(1$)


87/119

(14) +orde l&8re : 0./0m m>n&mo

0.$0m ad&c&onal



1.0 m 0.0 m = 1. m


12 co"eno 12 = 0.'14'

"eno 12 = 0.2012

(1)

A8ertura ert&cal t=2.10$ m

Sello &dr;ul&co a la entrada = 1.30 x1.30 F 0.1134 m G 0.114 m = 0.001m


Eleac&n 1.0 m G 2.10$ m G 0.0/m

J8 normal

=

J8 ad&c

=

J8 total

=


α1

=


∆hv



88/119

∆ = F S


∆ = 1.00 m F 0.00 = 0.40 m

Eleac&n E = //.$0 m 0.40 m = /3.'0

(1')


2.10$ m

Eleac&n 5 : /.0 m G 0.0003$ m F 11$.40

Eleac&n 5 = /./4 m


9= K 2.03 m = 1.02 m

Eleac&n J = /./4 m G 1.02 m = /'./1 m

12.4 m 2.3$ m


1.$ 1.02m G 2.10$ m = 0.$0 m

0.$0 m H t ! / = 0.$31 m

(1) Eleac&n = /./4 G 0.0003$ m L 13.00 m

Eleac&n = /./$ m

-or&zontal

t=

2= 6

2=


89/119

(2$)


90/119


D&"t. or&z. = /$3.0 m G /$4.30 m

D&"t. or&z. = 12.20 m


D&"t. %ert. = /'.' m G //.$0 m

D&"t. %ert. = 2.3 m

D&"t. %ert. ! D&"t. or&z.0.2123

0.2123 11.



D&"t. or&z. = /442.0 m G /4$0.0 m

D&"t. or&z. = 12.20 m


D&"t. %ert. = /'./1 m G /3.'0 mD&"t. %ert. = 2.'1 m


0.2$0

S1 = S

1 =

α1

= tan#G1 α1 =

S2 =

S1 =

12.32 m

- 1 00 12 4 12 32

2=


91/119

- = 1.00 m 12.4 m 12.32 m

- = 3. m

(23)

a.G

0.40F 0.113 m G 0.113 m = 0.00000 m

8.G


92/119

o

de

.


93/119


94/119

m

:

m


95/119

m

m

m


96/119


97/119

CL


98/119

E " t .

A

=

/

$ 2 $ .

3 0

E l e .

A

=

/ .

0 m

E " t .

+

=

/

$ $ ' .

3 0

E l e .

+

=

/ .

0 m

E " t .

C

=

/

$ 4 .

3 0

E l e .

C

=

/ ' .

' m

E " t .

D

=

/

$ 3 .

0

E l e .

D

=

/ / .

$ 0 m

E " t .

Q

=

/

$ 3 .

2 0

E l e .

Q

=

/ / .

0 3 m

E " t .

E

=

/

4 $ 0 .

0

E l e .

E

=

/ 3 .

' 0 m

E " t .

J

= /

4 4 2 .

0

E l e .

J

=

/ ' .

/ 1 m

E " t .

5

= /

4 3 1 .

0

13.00 m .00 m .00 m

d 1

=

1 .

$

m

.A. Ele. = 1.0m .A El

= 2.3 m PPP Q =3.0 m!"e# S2 = 0.00 PPP

12.20 m D&;metro del tu8o = '1 9ul#" 12.20 m

1.00 m


8&cac&n: Est. 6+347.50 R Est. 6+442.90

61 α

1α

2

62

S 1 S 3

1 = 12 .4 ( m 2 = 1

2. 3 2 m


99/119


100/119

E l e .

5

=

/ .

/ 4 m

E " t .

= /

4 / / .

0

E l e .

=

/ .

/ $ m

13.00 m

. = 1.00m

d 2

=

1 .

$

m

= 2.3 m


101/119


102/119

(A) DATOS


(2) Caudal : Q =4.0 m!"e#


103/119

($) %eloc&dade" : 1.2' m!"e# 1.2' m!"e#

(4) # = .'1 m!"e#*

(+) C,-C-OS:

(/) &el del a#ua en la e"tac&n A: /.30 m

&el del a#ua en la e"tac&n : /.341 m


0.0'$3 m 0.0'$3 m




A = Q!% = 4.0 m!"e# ! 1.2' m!"e# = $.123 m*

%1 = %2 =

1=

2=

E"te "&n cruzar; una cañada 9or lo Bue reBu&ereuna e"tructura de entrada 6 "al&da en concreto. El




104/119


∆ = F S-or&zontal


105/119


∆ = 1.00 m F 0.00 = 0.110 m

Eleac&n E = //.3 m 0.110 m = //./$

(1')


2.031 m

Eleac&n 5 : /'.20 m G 0.0003$ m F $.30

Eleac&n 5 = /'.1' m


9= K 2.00 m = 1.00$ m

Eleac&n J = /'.1' m G 1.00$ m = /.1' m

$.$2 m 0./1 m


1.$ 1.00$m G 2.031 m = 0.$2 m

0.$2 m H t ! / = 0.$42 m

(1) Eleac&n = /'.1' G 0.0003$ m L 13.00 m

Eleac&n = /'.1 m

t=

2= 6

2=

2$./3 m F 0.000 m = 0.00$0 m

c.G

C = 0.23

=


106/119

2 F C F 12!0 F 0.0'2 m = 0.013

d.G

0./3 F 0.0'1/ m G 0.0'$3 m

G0.001 m

0.022 m


D&men"&n 6 :

6 =

6 = /.3 m G /'.20 m 0.0m = 2.00

D&men"&n a :


a = /'.20 m 2.00m G /.44 m = 2./

D&men"&n C :

D = D& ! d&

D = 1.3m ! 1.$m = 1.3N



107/119

D&"t. or&z. = 0$.23 m G 00.00 m

D&"t. or&z. = $.23 m


D&"t. %ert. = /.44 m G //.3 m

D&"t. %ert. = 0./ m

D&"t. %ert. ! D&"t. or&z.0.2123

0.2123 11.



D&"t. or&z. = 2$.30 m G 20.23 m

D&"t. or&z. = $.23 m


D&"t. %ert. = /.1' m G //./$ m

D&"t. %ert. = 0.34 m


0.1/

S1

=

S1 =

α1

= tan#G1 α1 =

S2 =

S1 =

$.$0 m

- = 1.00 m $.$2 m $.$0 m

- 2$ /2

2=


108/119

- = 2$./2 m

(23)

a.G

0.40F 0.0'4 m G 0.0'2 m = 0.00000 m

8.G


109/119

o

de

.


110/119


111/119

m

:

m


112/119

m

m

m


113/119


114/119

m

CL

0 0

m 0 0

m 0 0

m 2 3

m 3

2 3

m 0 m 0


115/119

E " t .

A

=

' .

E l e .

A

=

/ ' .

2 0

E " t .

+

=

' 2 .

E l e .

+

=

/ ' .

2 0

E " t .

C

=

0 0 .

E l e .

C

=

/ .

4 4

E " t .

D

=

0 $ .

E l e .

D

=

/ / .

3

E " t .

Q

=

1 1 .

E l e .

Q

=

/ / .

/ m

E " t .

E

=

2 0 .

E l e .

E

=

/ / .

/ $

E " t .

J

=

2 $ .

3

E l e .

J

=

/ .

1 '

E " t .

5

=

$ 1 .

3

13.00 m '.00 m '.00 m

d 1

=

1 .

$

m

.A. Ele. = /.3m .A El

= 0./ m PPP Q =4.0 m!"e# S2 = 0.00 PPP

$.23 m D&;metro del tu8o = 9ul#" $.23 m

1.00 m


8&cac&n: Est. 7+900.00 R Est. 7+923.50

61 α

1α

2

62

S 1 S 3

1 = $ .$ 2 m 2 = $

. $ 0 m


116/119

1 ' m

3 0

1 m


117/119

E l e .

5

=

/ ' .

1

E " t .

=

4 / .

E l e .

=

/ ' .

1

13.00 m

. = /.34m

d 2

=

1 .

$

m

= 0./ m


118/119

-t='.00m -t='.00m

0 .

' 0

m

tN=0.20m

e

= 0 . ' tN=0.20m


119/119

e =

0' 0 m

1 1 .1 3 m

1 1 .

1 3

m

1

. 3 ( 6 G

0 .

1 3 ) =

2 .

' m

/ 1 . 3 ( 6G 0 .1 3 ) =2 .

' m

tN=0.20m tN=0.20m

/ /

C =

4 .

0 0 m

+ + C=4 . 0 0 m

1 .

3 ( 6 G

0 .

1 3 ) =

2 .

' m 1

. 3 ( 6G 0 .1 3

) =2 . ' m

e =

0 .

' 0 m

e= 0 . ' 0 m

%STA E

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Trabajo de Sifones 2015 II