rejilla1

7/24/2019 rejilla1

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• CÁLCULO DE LA REJILLA

Cálculo de C Coeficiente de contracción .

DATOSi = 0.1

e/s = (0.009m / 0.05m)

e/s = 0.18 < 4 Co= 0.5

C= Co – 0.325 i

C = 0.5 – 0.325 (0.1)

C = 0.4675

Co= 0.6 ara e!" # 4

Co= 0.5 ara e!" $ 4

Cálculo de % Coeficiente &ue reduce el área efecti'a %= ()*f+s

s+ t

t = e

%= (1-f) s

s+e

%= (1-0.20) 0 .05

0.05+0.009

%= 0.678

Cálculo del anc,o nece"ario de la re-illa

ara un caudal de di"e/o

Q=0,80 m

s

3

=0 .313Q

(CK )3 /2∗ L3 /2

=0 .313(0 .8)

(0. 4675∗0 .678)3 /2∗ L3 /2

1O1CATA

Co = coeficiente de contrcci!n.

i = "endiente de # re$i##.

e = es"esor de #os %rrotes. (m)

= c&d# de c"tci!n. (m3/s)

% = Coeficiente '&e red&ce e#re efecti.

" = se"rci!n entre %rrotes.(m)

f = "orcent$e de s&"erficie.(*)

8 =distnci de# +&d

7/24/2019 rejilla1


=1.40

L3 /2

(9+ (9+).20 ):06).)0 ):2)0.;0 ).650.60 3.0)

ara = 0.;09 "e o8tiene = ).659

= 2.55<C<%<8<< √ Ho

o= ( Q

2.55∗C ∗ K ∗B∗ L )2

o=

(

0.8

2.55∗0.4675∗0.678∗1.65∗0.90

)

2

o= 0.409>0.05

o= 0.409>0.05

o=0.45

Dimensionamiento de los abarrotes

Co9o iedra "ecaDato"?

d=0.46

vol=1

3π . d

3

vol=1

3π .0.46

3

7/24/2019 rejilla1


vol=0,102m3

L' = L∗√ 1+(0.10)

2

L' =0.904m

G= peso piedra

G=V ∗ sɣ

G=0,103∗2.5

G=0.255Tn

Mmax=G

8∗( L' +0.05 )

Mmax=0.255

8∗(0.904+0.05 )

Mmax=0.255

8∗(0.904+0.05 )

Mmax=0.030408 Kg. cm

W (momentoresistente )=0.030408

1400∗10

5

W (momentoresistente )=2.1720 cm2

Calculo de largo barrote:

A a"u9ido=3.@5

W = I

C

7/24/2019 rejilla1


I =e∗a

3

12

2.1720=e∗a

2

6

a=√2.1720∗6

0.9

a=3.8

Condici!n

c#c&#do < s&mido

3.80<3.85

• CÁLCULO DE LA GALERÍA

todo de Ba9arn.

DATOS = 0.@ 93!" = ).65 9

Cálculo de

=Q

B

=0.8

1.65

= 0.4@

Cálculo de Ef

7/24/2019 rejilla1


Ef = 3 √ g∗s

f = 3 √ 9.81∗0.05

Ef = 2.)0 9!"

Cálculo de E

E =V −Vo

! > Eo

=2.10−1

1.65 1

E = 0.66 >)

Calculo del calado final

d= Q

L∗V

d= 0.8m

3/ s

0.9m∗2.10m /s

d=0.621m

Calculo del calado final

"c=3

√(

Q

B)2

g

"c=3

√(2.32

1.65)2

9.81

"c=0.59

Condici!n "r no tener res#to idr&#ico

"c<d

7/24/2019 rejilla1


C&m"#e # condici!n :; >?:C

X X !X A d " R R#$% J &' ()*

+ +,+++ -,+++ +,+++ +,+++ +,.++ +,+++ +,+++/0DI!$

+1/0DI!$

+1/0DI!$

+1

+,%% +,-23 -,4-3 +,-%+ +,-#2 -,-3. +,-+. +,+24 +,+-3 +,+-5 +,+-5

+,55 +,%-6 -,#%5 +,44- +,4#2 -,%.+ +,-2. +,+35 +,+-2 +,+-%+,+4.

#

+,.. +,#62 -,52% +,436 +,%-. -,2%. +,-36 +,-+6 +,+-5 +,+-#+,+#%

3

-,%4 +,5%# -,36- +,%%. +,%65 -,524 +,4+2 +,-4- +,+-3 +,+-5+,+5+

-

-,52 +,6.4 4,+3. +,%6. +,#4- -,6#% +,4-3 +,-%- +,+4- +,+-.+,+63

.

L7 +,.

n7 +,+42

L= 0.

9I8GRE9AR!ALORE9

DX= +,

%%CAL

ADO

FINA

L=

+,#4-

SEC

CION

ES

X

!X C9 Cotade*on

do6 +, 4, +,6 +

1O1CATA?

= C&d# en c&#'&ier "&nto

=nco de# +&d

= C&d# tot# de c"tci!n

F = #or de #os trmos

Ef = e#ocidd fin#

G = @&er+ de # Aredd

" = s"cimiento entre %rrotes

E = e#ocidd "or trmo

Eo = e#ocidd inici#

H = Ardiente idr&#ico

n = Coeficiente de r&,osidd

,f = "erdid de cr,

d = C#do fin#

7/24/2019 rejilla1


6.4

+3.

4%

5 +,5%#

-,36-

+,5-2

+,-+3

4 +,#62

-,52%

+,2+%

+,44+

3 +,%-6

-,#%5

+,%3+

+,%#%

2 +,-23

-,4-3

+,4%5

+,#36

1 + - +,+

2-

+,5

64

Secc

ión

D

Cotade*ondo

D;asumido

Cotade

Agua

Calado

Área

! -<4

-$g=-<

4>

!-<!4

!4?!-

4?-

=4?

->$-

@4==4?->$-

>

-%<-5

6 +,%%

+,3-#

+ +,#4-

+,#4-

+,#

+,6.4

4,+.

5 +,%%

+,-+3

+,-+

+,24-

+,#-%

+,%6

+,5%#

-,6-

-,#45

+,+#2 %,6.

+,%3

+,-23

+,42

+,24-

+,.+

5 +,%%

+,-+3

+,-5

+,23-

+,#6%

+,#%

+,5%#

-,#.

-,#45

+,+#2 %,23

+,5+

+,-23

+,42

+,24-

-,-4

5 +,%%

+,-+

3

+,-3

+,5+-

+,#.%

+,#

#

+,5%

#

-,#

%

-,#45

+,+#2 %,42

+,

+5

+,-2

3

+,42

+,24-

-,-3

5 +,%%

+,-+3

+,-.

+,5--

+,2+%

+,#2

+,5%#

-,#+

-,453

+,+#2 %,#.

+,5.

+,-23

+,42

+,24-

-,4-

4 +,%%

+,44+

+,- +,6--

+,#.-

+,##

+,#62

-,+6

-,-+.

+,+#%6

4,#3

+,%%

+,-2.

+,%%

+,#5.

+,6.#

4 +,%% +,44 +,+35 +,5.6 +,#66 +,# +,#6 -,- -,-+. +,+#%6 4,2- +, +,-2 +,%% +,#5. +,65%

7/24/2019 rejilla1


+ % 2 - 4.

.

4 +,%%

+,44+

+,+3%

+,5.#

+,#6#

+,#%

+,#62

-,--

-,-+.

+,+#%6

4,2-

+,4

.

+,-2.

+,%%

+,#5.

+,25+

3 +,%%

+,%#%

+,- +,6.#

+,#2-

+,#-

+,%-6

+,63

+,6.4

+,+#+3

-,3.

+,%%

+,-23

+,2+

+,222

+,336

3 +,%%

+,%#%

+,+5.

+,6%5

+,#4

+,%3

+,%-6

+,3#

+,6.4

+,+#+3

-,.2

+,46

+,-23

+,2+

+,222

+,3%+

3 +,

%%

+,

%#%

+,+

55

+,6

5

+,#

-6

+,

%3

+,

%-6

+,

3#

+,6

.4

+,+#+

3

-,

.5

+

,46

+,

-23

+,2

+

+,2

22

+,3

4#

2 +,%%

+,#36

+,-++

+,35

+,%6%

+,%#

+,-23

+,#6

+,#62

+,+%%.

-,%4

+,%6

+,-2.

-,+-

+,32+

-,44#

2 +,%%

+,#36

+,+22

+,3-2

+,%43

+,%+

+,-23

+,2#

+,#62

+,%%.+

-,%3

+,%-

+,-2.

-,+-

+,32+

-,-2.

2 +,%%

+,#36

+,+2#

+,3-#

+,%46

+,4.

+,-23

+,2#

+,#62

+,+%%2

-,%3

+,%-

+,-2.

-,+-

+,32+

-,-23

1 +,%%

+,+++

+,- +,.-#

+,.-#

+,34

+ +,++

+,-23

+,++++

+,2#

+,2#

+,-23

/0DI!$+

1

/0DI!$+

1

/0DI!$+

1

DI9EO DE LA9 COBA9 DEL BALUD

DATOS

m (50 Bos) = 2.32m3/s

OIJICIO SKIDO D SCCIL1 CTA1KA

7/24/2019 rejilla1


tan #= 1

10

#=5.711

tan (5.71)= x

0.8

= 0.09

L' = L∗√ 1

2+(0.10)2

L'

=0.90m+0.05

L' =0.95m

$ %=tan 5.711∗ L

2

$%=tan5.71∗0.4

$ %=0.045m

Cd=0.6

Q=0.5 m

3

s

Q=Cd∗ & o∗√ 2g∗%¿

0.8=0.6∗ &o∗√ 2(9.81)∗%¿

%¿=

0.096

&o2

Cota de a"e= 2565.62 m

Cota AM= 2565.62 m

- Cota A= D

- Cota = Cot %

¿

- Cota C= Cot E 0.15 (#t. e,)

7/24/2019 rejilla1


- Cota D= Cot C $%

- Cota de Crecida= Cot Ho $ %

2+¿

Ao ) A C DCot aCrecid b a

+,+42 +,3 %,3#+

4252,6+

425.,2#42+

425.,5#%

425.,5#%.+

426+,643. +,#

+,+5%

+,+2 +,3 -,.4+

4252,66

4256,532++

4256,632

4256,635#+

4253,36-# +,#

+,-42

+,- +,3 +,.5+4252,

3.4255,32

+++4255,.

2+4255,.2

-#+4253,+

%5# +,#+,42+

+,-2 +,3 +,5#+ 4255,+4 4255,522++ 4255,622 4255,625#+ 4256,3#-# +,# +,%62

+,4 +,3 +,#3+4255,

-#4255,54

+++4255,6

4+4255,64

-#+4256,3

+5# +,#+,2++

+,42 +,3 +,%3#

4255,46

4255,5#.++

4255,6#.

4255,62+#+

4256,3%2# +,#

+,542

+,% +,3 +,%4+4255,

%.4255,6-

+++4255,3

-+4255,3-

-#+4256,3

.5# +,#+,62+

+,%2 +,3 +,46#

4255,24

4255,63.4.

4255,33.

4255,3.+5.

4256,.626 +,#

+,362

+,# +,3 +,4#+4255,

5#4255,33

+++4255,.

3+4255,.3

-#+4253,+

55# +,#-,+++

Calculo del caudal maimo ca"tado en condicionesnormales

A ba ) )CmaCrecida

+,+42 +,#++,+5% 2,+% +,-#3.5 %,3# 426+,643.

+,+2 +,#++,-42 %,-- +,4%#4- -,.4 4253,36-#

+,- +,#++,42+ 4,-2 +,%3.%5 +,.5 4253,+%5#

+,-2 +,#++,%62 -,3% +,2%362 +,5# 4256,3#-#

+,4 +,#++,2++ -,56 +,535-2 +,#3 4256,3+5#+,42 +,#++,542 -,26 +,3%454 +,%3# 4256,3%2#

+,% +,#++,62+ -,2- +,.6326 +,%4 4256,3.5#

+,%2 +,#++,32+ -,#5 -,-4#4- +,46# 4256,.626

+,# +,#+-,+++ -,#% -,45.5# +,4# 4253,+55#

7/24/2019 rejilla1


DIE89IO8AIE8BO DE URO9Anc,o del ro= 3.266 9

= Anc,o del ro – 0.;0 9

= 2.366

"c=3

√(

Q

B )

2

g

"c=3

√(2.32

1.65)2

9.81

"c=0.59

CACO D A ATA D OS OS D AA

ATA

= 3!2 Nc

= 3!2 (0.5;9+ = 0.@@5 9

CALCULO DEL !ERBEDERO DE EXCE9O9 O

AFUD

Jor9ula"

C = C 1

√ 3.28

NOMENCLATURA

C-7Coeciente dedesagHe

7 Caudal

L 7 Longitud de lareilla

&o 7 Altura decarga total

b 7 anc)o del aud

!o 7 @elocidad

7/24/2019 rejilla1


Q=C ∗ L∗ Ho3 /2

Ho=( Q

C ∗! )3 /2

Vo= o

(+ Ho

o=Q

!

%a= Vo

2

2∗g

%o= Ho−%a

CALCULO DEL !ERBEDERO DE EXCE9O9 OAFUD

DABO9 7 4,%4 K7+,.3+226

.7 -,26b7 4,%55&o7 +,332

$&o c &o !a )a )oI8ICIO -,. +,5#5 +,##4 +,+-+

4,#% 4,2- +,2%6 +,#52 +,+--4,.4 4,2% +,2%2 +,#55 +,+--4,.% 4,2%

$&o7 4,#%AbacoCo7 #,22 C7

$&o7 4,.4AbacoCo7 #,262 C7

$&o7 4,.% AbacoCo7 #,262 C7

Datos "araXcMNcMR-MR4MMn

)a7 +,+-- Xc$&o Abaco7 +,462

&o7 +,2%2 Nc$&o Abaco7 +,--62

R-$&o Abaco7 +,2-

)a$&o7 +,+4- R4$&o Abaco7 +,4-

7/24/2019 rejilla1


Abaco7 +,2+2

n Abaco7 -,35

"

Ho=− K ( )

Ho )n

+ +,4 +,# +,5 +,3 - -,4 -,# -,5

?-,3

?-,5

?-,#

?-,4

?-

?+,3

?+,5

?+,#

?+,4

+

Perfl e Cre!"#er

"

0.535=−0.505( )

0.535 )1.86

=-1.08 *0.54

;+ +

+,46%%+352 ?+,+632

+,%.6%3%45 ?+,-26

+,#.#52+.2 ?+,4%22

+,26663#%# ?+,%-#+,52-6

6#4- ?+,%.42+,6-.4

+33. ?+,#6-+,63-5

%.-5 ?+,2#.2+,3#++

3422 ?+,543+,3.24

#... ?+,6+52+,.#65

5-6. ?+,632+,..66 ?+,35%2

7/24/2019 rejilla1


-424-,+#26

+..5 ?+,.#4-,+.-3

..63 ?-,+4+2-,-%5#

3-35 ?-,+..-,-6.5

4-#4 ?-,-662-,44-#

25.# ?-,425-,454-

+236 ?-,%%#2-,%+-5

5333 ?-,#-%-,%#+4

%%+4 ?-,#.-2-,%663

6#4 ?-,26

7/24/2019 rejilla1


7/24/2019 rejilla1


CALCULO DEL CALADO:

V 1=

Q

!∗ Ho

V 1=

2.32

2.366∗0.885

1= 0.71 m/s

" + V 1

2

2∗g=d+

V 2

2∗g

2

+%

(2567.8064−2565.64 )+ 0.712

2∗9.81=d+

2.32

2.322∗d2

2

∗1

2∗9.81

2.1664+0.025=d+0.05

d2

2.1914=d+0.05

d2

2.1914d2

=d3

+0.045

d3−2.61d

2+0.045=0

d=0.17 m

V 2=

Q

!∗d

V 2=

2.32

2.366∗0.17

V 2=5.76m /s2

CALCULO DEL RADIO DE'LECBOR

+=10

(V

2+6.4∗ Ho+16

3.6∗ Ho+64 ) (ies

7/24/2019 rejilla1


+=10 (5.76+6.4∗(0.885)+163.6∗(0.885)+64 ) (ies

+=0.40 (ies

+=0.1243m

DI9IADOR DE E8ERGIA

= 5.82mᵌ /seg

F= 0.95 (Coeficiente de "Grdids "r +&d)

=Q

B

=5.82mᵌ /seg

1.65m

=3.53

" 1=(

K ∗[2∗g (¿−" 1 )]1

2 )" 1²=(

2

, (2g (¿−" 1)- 1.5)2)

" 1²=( 3.53

2

0.95 (2∗9.81 (2.45−" 1 ) - 1.5))

" 1=0.33

7/24/2019 rejilla1


" 2=" 1

2 (−1+√1+ 8∗

2

g∗" 13 )

¿¿¿2

1+8(¿¿ 9.81∗" 1 ᵌ ¿)¿

−1+√ ¿

" 2= .33

2¿

3.53¿

¿¿21+8(¿¿ 9.81∗0.33 ᵌ ¿)

¿−1+√ ¿

" 2= .33

2¿

" 2=2.62

Q=m∗B∗ Ho3/2

Q=2.2∗1.65∗0.8853/2

Q=3.022m3

/se,

n=0.03

I =10

B=1.65m

, = Q∗n

I 1/2

B8 /3

7/24/2019 rejilla1


1.65¿¿

(0.105)1 /2¿

, =3.022∗0.03

¿

, =0.075

"o

! =0.25

"o=0.25∗1.65

"o=0.4125

" 2>"o

2.62>0.4125

e=, ∗" 2−"o

e=(1.20∗2.62)−0.4125

e=2.7315m

"o+e=" 2

0.4125+2.7315>2.26

3.14>2.26

7/24/2019 rejilla1


¿= (+ Ho+e

¿=1.57+0.885+2.7315

¿=5.1865

m

" 1=(

K ∗[2∗g (¿−" 1 )]1

2 )

" 1²=( 3.53

2

0.95 (2∗9.81 (5.1865−" 1 ) - 1.5))

" 1= 13.81

(101.78−19.62" 1)

" 12101.78+19.62" 1

3−13.81=0¿

" 1=0.132

" 2=" 1

2 (−1+√1+ 8∗

2

g∗" 13 )

3.53

¿¿¿2

1+8(¿¿ 9.81∗0.132 ᵌ ¿)¿

−1+√ ¿

" 2= .132

2¿

7/24/2019 rejilla1


3.53¿¿¿2

1+8(¿¿ 9.81∗0.132 ᵌ ¿)¿

−1+√ ¿" 2=

.132

2¿

" 2=3.404

"o+e=" 2

3.14>3.404

1.9∗" 2

L=2.5 ( ¿−" 1 ) ¿

1.9∗3.14

L=2.5 ( ¿−0.132 )

L=14.58/10m

Calculo de dentellPn

0=0.084∗ H

3

2∗ (

0=0.084∗0.885

3

2∗1.57

0=0.11m

Dentellón )

11=1.25∗ 0

7/24/2019 rejilla1


11=1.25∗0.11

11=0.14m

Dentellón 2

12=0.30∗ 0

11=0.033m

&H = (" 2−" 1)3

4∗(" 2∗" 1)

&H = (3.404−0.132)3

4∗(3.404∗0.132)

&H =1.94m

7/24/2019 rejilla1


CALCULO DEL DE9ARRE8ADOR

Dato"?

Cd=0.62

= (0.5H0.4)

=1.71

Q=Cd∗ &∗√ 2∗9.81∗(1.71 )

Q=0.62∗0.2∗√ 2∗9.81∗(1.71 )

Q=0.72 m3

s

I=0.08mm

rrstre =0.25m/s

m= 2.2 ;n/m3ɣ

;JC=12 JCK &=0.0123

&t = QVa

&t =0.72

0.25

&t =2.88m2

%= &t

2

%=2.88

2

%=1.44m

Calculo del E"

s=d

7/24/2019 rejilla1


Vs=, ' ∗Vs '

V s' =0.1

m

s (a!aco)

, ' =1.059 ( a!caco )

Vs=1.059∗0.1

Vs=0.1059m

s

onGitud

C#=1.20 (%co coeficiente de #on,it&d)

:=C#H H (/s)

L=1.20∗1.44∗( 0.25

0.1059)

L=4.08m

Li=l∗0.05+2

Li=4.08∗0.05+2

Li=2.204m

%1=1.50m( por calc2loderelaciondetriang2los)

%2=%+%1

2

%2=1.44+1.50

2

7/24/2019 rejilla1


%2=1.44+1.50

2

%2=1.47m

L =1.20∗1.47∗( 0.25.1059 )

L =4.16

Com"ro%cion

Cl=

(

4.16

1.47

)∗

(

0.1059

0.25

)Cl=1.20

7/24/2019 rejilla1


Calculo de área real

&r=(vol2m . desarenador )

%2

Vol desarenador=1.50∗1.44∗4.16

Vol desarenador=8.80m3

&r=(8.98)1.47

&r=6.9112m2

Calculo del área nece"aria

&n=Q

Vs

&n= 0.72

0.1059

&n=6.782m2

Condicion r Ln

;iene # c"cidd de sedimentr #s "rti&#s

Con &n I=0.8m

Calculo tie9o de flu-o

t =Vol2men

Q

t =8.80

0.70

t =12.57 seg

total de la'ado

Qt =Q+QL

7/24/2019 rejilla1


Qt =vol desarenador

tlavado

Ql= 8.80

12.57

Ql=0.70m3

s

Qtl=0.70+0.70

Qtl=1.42m3

s

7/24/2019 rejilla1


Calculo de com"uerta de desarenador,

Dato"

Qtl=1.42

m3

s

*=%1=1.50m

a=0.80

Cd=0.55

A8aco

*

a=

1.50

0.80

*=1.875

Q=Cd∗(a∗!)∗√ 2∗9.81∗(1.875 )

!= 1.42

0.80∗0.55∗√ 19.32∗1.875

!=0.53m=0.50m

Calculo de 'ertedero de de"arenador

Q=0.80 m3

s

L=2m

Q=1.838∗ L∗%1.5

%=0.42

7/24/2019 rejilla1


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