Qd= Qd= P= P= L= L= C= C=
Carga de agua sobre la cresta del vertedero
Carga de agua sobre la cresta del vertedero
H
Hoo== 00..11117777 mm
Ha=
Ha= 9.99.98048049E-9E-005005 mm
H
Hdd== 00..111177 mm
NIVERSIDAD TÉCNICA PARTICULAR DE LOJA
NIVERSIDAD TÉCNICA PARTICULAR DE LOJA
HIDRAULICA I
HIDRAULICA I
HOJAS DE
HOJAS DE
CÁLCULO
CÁLCULO
ÁLCULO DE VERTEDERO TIPO CREAGER
ÁLCULO DE VERTEDERO TIPO CREAGER
==〖〖__〗〗!!11..55∗ ∗ ""LL ==( ( ## $$!%&#'$ $$!%&#'$ (× (× ==〖〖��##%%(+ ∗(+ ∗$$ $$〗〗!&#!&# %&"9.81$ %&"9.81$ =− =−
Co(d)s)o(es *ara el coe+c)e(te de
Co(d)s)o(es *ara el coe+c)e(te de descargadescarga
0 ≤ P/Ho < 0.5
0 ≤ P/Ho < 0.5
, C/PLE , C/PLE C Coo== --449977..88001100 ,, CC//PPLLEE0.6 ≤ P/Ho < .5
0.6 ≤ P/Ho < .5
, C/PLE , C/PLE C Coo== --44..55001144 ,, CC//PPLLEEP/Ho ! .5
P/Ho ! .5
C/PLE C/PLE CCoo== &&..1188 CC//PPLLEE Correcc
Correcc)( del )( del coe+c)e(te de descargacoe+c)e(te de descarga
C
C&&== 00..99999999
C
C== &&..11779988
Carga de agua sobre la cresta del vertedero %correg)do$
Carga de agua sobre la cresta del vertedero %correg)do$
=&.0&5%=&.0&5%〖〖��/ / $$〗〗!!&&2211..88(/ (/ $$2211..770044
=0.0'4%=0.0'4%〖〖��/ / $$〗〗!!&&2200..114455(/ (/ $$22&&..00''11
&=0.&1&"%&=0.&1&"%〖〖��//$$〗〗!%&3'$20.78!%&3'$20.78
8 8 =_∗ =_∗ & & ==〖〖__〗〗!!11..55∗ ∗ ""LL ==( ( ## $$!%&#'$ $$!%&#'$ (× (×
H
Hoo== 00..11118888 mm
Ha=
Ha= 9.99.9991E-1E-005005 mm
H
Hdd== 00..11118877 mm
Per+l creager
Per+l creager
Coe+c)e(te 6 ( *arame(to vert)cal
Coe+c)e(te 6 ( *arame(to vert)cal
Ha Ha#Ho#Ho== 0.0.00000808'9'91919'' 6 6== 00..55 ==〖〖��##%%(+ ∗(+ ∗$$ $$〗〗!&#!&# %&"9.81$ %&"9.81$ =− =− // ==−− "%"%〖〖//〗〗^^$$
(= 1.87&
Calculo de 1 & :1 :& Ha#Ho= 0.0008'919'
;ar lectura e( la gr<+ca c#Ho= 0.&8 >c#Ho= 0.1'& :1#Ho= 0.5' :&#Ho= 0.&'5 c= 0.0'4 >c= 0.0157 :1= 0.0' :&= 0.0&79
Datos
0.&5 m'#s1.9m 7 m &.&1
Coorde(adas del *er+l creager m >m 0 0 0 0.05 -0.0118 0 0.1 -0.04'0 0 0.15 -0.0919 0 0.& -0.1575 0 0.&5 -0.&'9& 0 0.' -0.''4 0 0.'5 -0.4490 0 0.4 -0.575 0 0.45 -0.7187 0 0.5 -0.8754 0 0.55 -1.044 0 0. -1.&'15 0 0.5 -1.4'0 0 0.7 -1.4'4 0 0.75 -1.8700 0 0.755 -1.9005 0
0 0.1 0.& 0.' 0.4 0.5
Q= L= P= C= H= ?=
Carga de agua sobre la cresta del vertedero
Ho= 0.1177 m Ha= 9.98048770E-005 m
P/Ho
#
$.%%
P/Ho
<
$.%%
CU&PLE
NO
CU&PLE
H'
(
Ho
H'
(
Ho
)
Ha
Pe(d)e(te sNIVERSIDAD TÉCNICA PARTICULAR DE LOJ
HIDRAULICA I
HOJAS DE CÁLCULO
ÁLCULO DE VERTEDERO TIPO *EST
=〖_〗!1.5 "L∗ =( # $$!%&#'$ (× =〖�#%(+ ∗$ $〗!&# %&"9.81$
Hd= 0.1177 m
Co(d)s)o(es *ara el coe+c)e(te de descarga
0 ≤ P/Ho < 0.5
, C/PLE
Co= -49.9&9 , C/PLE
0.6 ≤ P/Ho < .5
, C/PLE
Co= -4.488' , C/PLE
P/Ho ! .5
C/PLE
Co= &.18 C/PLE
Correcc)( del coe+c)e(te de descarga
C&= 1
C= &.18
Carga de agua sobre la cresta del vertedero %correg)do$ =&.0&5%〖�/ $〗!&21.8(/ $21.704 =0.0'4%〖�/ $〗!&20.145(/ $2&.0'1 = &=0.&1&"%〖�/$〗!%&3'$20.78 8 =_∗ & !
Ho= 0.1188 m Ha= 9.9914'E-005 m
P/Ho
#
$.%%
P/Ho
<
$.%%
CU&PLE
NO
CU&PLE
H'
(
Ho
H'
(
Ho
)
Ha
Hd= 0.1188 m Per+l AEB ;er)va(do Coe+c)e(te 6 ( Pe(d)e(te *arame(to %?H$ 6 ( ?ert)cal & 1.85 '01 1.9' 1.8' '0& 1.9'9 1.81 '0' 1.87' 1.77 +( & (= 1.85Calculo de 1 & :1 :&
= _ . ∗ =( # $$!%&#'$ (× =〖�#%(+ ∗$ $〗!&# %&"9.81$ = ^= 〖〗!( 1$ ( =^〖〗# ! 1$( $
1= 0.0''5 m &= 0.0&08 m :1= 0.0594 m :&= 0.0&'8 m 1=0.&82 &=0.175 1=0.5 &=0.2
Datos
0.&5 m'#s 7 m 1.9m &.&1 1 1*er+c)e vertedero aguas aba@o
Pu(to de ta(ge(c)a Coorde(adas d m 0 0.05 t >t 0.1 0.1' -0.070 0.15 0.& 0.&5 0.' 0.'5 0.4 0.45 0.5 0.55 0. 0.5 0.7 0.75 0.77'& /=/ %〖/ $ 〗! 1$(
l *er+l creager >m 0 0 -0.01&0 0 -0.04'& 0 -0.0914 0 -0.1557 0 -0.&'5' 0 -0.'&9 0 -0.4'84 0 -0.51' 0 -0.979 0 -0.8481 0 -1.0117 0 -1.1884 0 -1.'781 0 -1.5805 0 -1.7957 0 -1.9000 0 0 0.1 0.& 0.' 0.4
0.5 0. 0.7 0.8 0.9
P,-./ *ES
Per+l AEB Parame(to Pu(to ta(ge(te
Dato
Qd= 0.5 6= 0.85 t= 0.01 s= 0.05 Hr= 0.5 P1= 1.& P&= 1 H(= 0.4 D= 0.1 P'= 0.95 = 50 Qma= 8 ?c= 1.5Co'1213 ', 4,-t,',-o s,-71'o
Pr)mera co(d)c)( Begu(da co(d)c)(
P$ ) H # P
89 / P: < 0.;
C/PLE C/PLE Coe+cc)e(te de descargaBegu( 6o(ovalov
/o= 1.91Begu( FaD)(
IVERSIDAD TÉCNICA PARTICULAR DE LOJA
HIDRAULICA I
HOJAS DE CÁLCULO
CÁLCULO DE REJILLA LATERAL
=G0.40720.045 (+# 1 $"G120.&85"( # 1 $$!& "I
(+ 2
/o= 1.91 Coe+cc)e(te de sumers)(
Begu( FaD)(
B= 0.Begu( ?)llemo(te
B= 0.&(cJo eKect)vo de re@)lla
b= 1.4& m
,mero de es*ac)os
(= &8
,mero de barrotes
,= &7
(cJo total de re@)lla =1.05G120.&∗/ & "M(!/ $ =G1(/ $!%'#&$ !0.'85 =∗" 〖〗!%'#&$∗" "=# " (∗∗ 〖〗!%'3&$ $ ="/# $ =1 %=" (&∗$ 2 $
F= 1.9 m
Com*robas)o( del caudal
Q= 0.5 m'#s
/aorac)( *or obstrucc)( %&5N$
bO= 1.77 m
,mero de es*ac)os
(O= '5
,mero de barrotes
,O= '4
(cJo total de re@)lla
FO= &.11 m
Caudal maorado
Q= 0.&5 m'#s
(gulo de )(cl)(ac)( de la re@a
?eloc)dad del r)o =∗" 〖〗!%'#&$∗" " "1.&5=" R =" /#R R $ =R1 R %=" (&∗$ R2 R$ =∗" 〖〗!%'#&$∗" S='. cos〖/)*〗
?r= 0.1 m#s 8'.878 T .1&'& T UO= U= )=/, U=90UR
m'#s m m m m m m m m m& m'#s m#s
Qd= 6= t= s= Hr= P1= P&= H(= D= P'= Hvr= Co'1213 ', 4,-t,',-o s,-71'o
Pr)mera co(d)c)( Begu(da co(d)c)(
P ) H4- # P%
89 / P%: < 0.;
C/PLE C/PLE Coe+cc)e(te de descargaBegu( 6o(ovalov
/o= 1.90Begu( FaD)(
U= U= =G0.40720.045 (+# & $"G120.&85"(# & $$!& "I(+ 2
=%1.79420.01''/ $"G120.55( (+# & $$!&
IVERSIDAD TÉCNICA PARTICULAR DE L
HIDRAULICA I
HOJAS DE CÁLCULO
CÁLCULO DE DESRRIPIADOR
/o= 1.91 Coe+cc)e(te de sumers)(
Begu( FaD)(
B= 0.70'Begu( ?)llemo(te
B= 0.8(cJo del vertedero
b= 1.9 m
Lo(g)tud de desrr)*)ador
L= 0.'8 m
C<lculo de dco( de Fer(oul)
0
VWL 0.0000
dco(= 0.074&
C<lculo del calado co(@ugado
=1.05G120.&∗/ ' "M(!/$ =G1(/$!%'#&$ !0.'85 =∗" 〖〗!%'#&$∗" = R $#%& ta((% −" 〖X〗 $ *=- ( # "I%2(._−*$$$ -=/"R .= ++! & =0.91 "= (∗# " 〖〗!%'3&$ $Co'1213 ', s,
<P)H
Bumerg)do &= 0.550 mLo(g)tud de resalto
Begu( PavlosY)
L= &.4& mBegu( BaKra(etD
L= &.47 mBegu( FacYJmetev
L= &.'8 mPromed)o
L= &.4& m = " 2 - ( 〖� 1 〗 !' $$1 =%&.5"%1.9 & 1$∗ − =4.5 &∗ =5 & 1$( −Datos
0.&5 m'#s 0.85 0.01m 0.05m 0.5m 1.&m 1 m 0.4m 0.1m 0.95m 0.'m 1&.5T 0.&18 radJA
Z= 0.'5
[o= 1.5
Qd= b1= (= \= m= U= U=
[)ra(te a la sal)da de tra(s)c)o(
d&= 0.'554 m
Eleme(tos geometr)cos a la sal)da de tra(s)c)o(
b&= 0.7108 m
&= 0.&5& m&
NIVERSIDAD TÉCNICA PARTICULAR DE LOJ
HIDRAULICA I
HOJAS DE CÁLCULO
CÁLCULO DE TRANSICION
!%8#'$=( &!%&3'$$# !%13&$(0 %&I !&21$( −$$ "=2 ,="∗ * 2=" 2*&= 1.4&1 m
:&= 0.1777 m
?eloc)dad a la sal)da de tra(s)c)o(
?&= &.474' m#s
Lo(g)tud de tra(s)c)o(
L= &.77&' m
[)ra(te al com)e(Do de la tra(s)c)o(
d1= 0.1' m (o *uede ser mu *eZue]o
El calado al com)e(Do de la tra(s)c)o( (o *uede ser me(or Zue
d1= &.'71 m = 1 &$#%&(" −" ta(〖X〗 $ & &=, /1 & ) &=/,& 1 & =, /" 1 1 & '= +
rea al com)e(Do de la tra(s)c)o(
1= 4.1 m&
?eloc)dad a la e(trada de tra(s)c)o(
?1= 0.1'5 m#s
Carga de veloc)dad
?1!&#&g= 0.0009
Calcular *erd)das
JK= 0.'111
Perd)da e( la su*er+c)e del agua
[)* E( c ^= 0.4044 Co( cuadra( :e , 1 1 1=" ∗ ) 1=/,1 〖1〗!&#& =_ 3 =%〖&〗!& 〖1〗!&$#2 ^=%1+ 3 $
Datos
0.&5 m'#s 0.01& 1.94 m 0.014 0.01& 0 1&.5 T 0.&18 rad ra(s)c)o( rectade tra(s)c)( C de tra(s)c)( C u
urrvvaa 00..11
tte e dde e cc))rrccuulloo 00..1155
Qd= Qd= (= (= \= \= m= m= P&= P&= H(= H(= b1= b1= a= a= C Coomm**uu
Com*uerta de descarga l)bre
Com*uerta de descarga l)bre
Caudal de l)m*)eDa
Caudal de l)m*)eDa
Q
QLL== 11..&&55 mm''##ss
[)ra(te agua
[)ra(te aguas arr)bas arr)ba
d
d&&== 00..44&&9988 mm
:a(ura de :a(ura de cellado de la cellado de la com*uerta com*uerta
NIVERSIDAD TÉCNICA PARTICULAR DE LOJA
NIVERSIDAD TÉCNICA PARTICULAR DE LOJA
HIDRAULICA I
HIDRAULICA I
HOJAS DE CÁLCULO
HOJAS DE CÁLCULO
ÁLCULO DE CO&PUERTA DE LAVADO
ÁLCULO DE CO&PUERTA DE LAVADO
==22
!!%%88##''$$==(( &&!!%%&&33''$$$$##(0 (0 !!%%1133&&$$ %
Eleme(tos geometr)cos del ca(al de desKogue
b&= 0.859 m
&= 0.'95 m&
*&= 1.719& m
:&= 0.&149 m
?eloc)dad aguas arr)ba
?&= '.'8&9 m#s BV \= 0.0& m#m b= 1.94 m 0.0& 1 1.94 = 0.0'88 FL?; H= 1.5 m
Calculo de e %de tabla$
a#H= 0.5'7' e= 0.487' a#H e 0 0.11 0.1 0.15 0.15 0.18 "=2 ,="∗ * 2=" 2 & &=, /1 & ) &=/, & =4+ ++ &
0.& 0.& 0.&5 0.&& 0.' 0.&5 0.'5 0.&8 0.4 0.' 0.45 0.'8 0.5 0.45 0.55 0.5 0. 0. 0.5 0.75 0.7 0.9 0.75 0.705 0.8 0.7& 0.85 0.745 0.9 0.78 0.95 0.8'5 1 1 Calculo de Y %0.95 - 0.97$ Y= 0.9
Calculo del caudal
Q= 1.88& m'#s Com*robac)o( de caudal
? # ?L
1.88& ` 1.&5 C/PLE =∗∗∗" "I%2(+) !&# 2 (∗$$$Datos
0.&5 m'#s 0.015 0.0& 0 0.05 m 1 m 0.4m 1.9m 0.8m rta de descarga l)breDatos
Qc= 1& m'#s b= 7 m m= 0.45 P= 1.& m Carga de agua Ho= 0.9044 m H= 0.8479 mNIVERSIDAD TÉCNICA PARTICULAR DE LOJ
HIDRAULICA I
HOJAS DE CÁLCULO
REGULACI@N DE LA CRECIENTE
*=∗"" 〖〗!1.5"I2 =(* (∗" # "I $$!%&#'$2 *=∗" "%120.55( (+ # $$!&$ !1.5"I∗ 2 =(*#%∗""%120.55( (+# $$!& $"I $$!%&#'$2
?o= 0.8'71 m#s
HoO= 0.88' m