Design of Chute(Open or Trough) Trough) spillway. Design data : A. Given
1 2 3 4 5 # % ' ) 1* 11 12 13 14 15 1#
Max. Max. desi design gn disc discha harg rge e Max. wa water ter le level Spil Spillw lway ay cres crestt elev elevat atio ion n Full tan tank level Top und und leve levell o! earthe earthen n da" da" $eng $ength th o! spil spillw lway ay crest crest &ead &ead ove overr spi spillllwa wayy cre crest st (o. (o. o! span spanss and and clear clear span span width width (o.o! (o.o! pier pierss and and their their thick thicknes nesss +ed lev level el o! app appro roac ach h chann channel el &eight &eight o! spillw spillway ay crest crest !ro" !ro" strea" strea" ed ed Slope Slope o! upstre upstrea" a" !ace !ace o! o! spillw spillway ay ,ier contra contractio ction n coe!!ic coe!!icient ient -ut"ent contraction coe!!icient ownstrea" water level !or $eng $ength th o! app appro roac ach h chan channe nell B. /ross section o! approach channel Assumed
1 2 3 4 5 # %
0alue alue o! silt silt !act !actor or -ngle o! o! re repose nit nit weigh eightt o! o! wat water er nit nit wei weigh ghtt o! o! "aso "asonr nryy nit nit weig weight ht o! dry dry eart earth h nit nit weig weight ht o! satur saturate ated d ear earth th /oe! /oe!!i !ici cien entt o! disc discha harg rge e
9
!.""
#
-rea o! approach channel
-
0elocity o! approach 0elocity &ead
&'
02
&ydraulic Mean epth
82g
9 9 9 9
6 !$%.
143* ".
9-,
9
5#%. 123.
*
9
.$
9 9 9
/rest ?leva 34#.
Friction &ead $oss = y Manning>s ?@uation
Slope o! approach channel
pstrea" Total ?nergy $ine
!+.
&ead Aver /rest including head due to velocity o! approach , *.5* 9 &d 4.'* ha *.324 9 &d 4.'* /oe!!icient o! discharge /oe!!icient o! discharge 6 corrected
9
*.1*4
9
*.*#%
, &d ha 9
1.'#
For
35? 2rofile :
S.(. 1 2 3 4 5 # % ' ) 1* 11 12
x &d :*.*** :*.*2 :*.*#* :*.1** :*.12* :*.14* :*.15* :*.1#* :*.1%5 :*.1)* :*.1)5 :*.2**
y &d *.**** *.***4 *.**35 *.*1*1 *.*14% *.*2*3 *.*235 *.*2%* *.*32' *.*3)5 *.*42* 1.****
Hd
'
x 6" *.**** :*.*)5) :*.2'%' :*.4%)% :*.5%5# :*.#%15 :*.%1)5 :*.%#%5 :*.'3)4 :*.)114
*.**** *.**1) *.*1#' *.*4'4 *.*%*5 *.*)%4 *.112% *.12)5 *.15%3 *.1')5
y6
0".,!
"."+!
(-
(
2osition of the downstrea# apron level :
D! downstrea" apron elevation is "aintained such that it does not e!!ect coe!!icient o! discharge. hd E d 1.%* &d &ence apron elevation 6-t the toe o! spillway or transition slope
hd hd
⇒ 9 9 9
ischarge intensity downstrea" o! spillway piers @ 143*.** 9 @ +.!,, ⇒ 113.5* 0elocity downstrea" 9 ; 12.5)) ⇒ d E 2. C g
E E pstrea" Total ?ner 351.3* .+" Cu#.5sec.
d
12.#* <2
1* 11 12 13 14 15
*.'** 1.*** 1.2** 1.4** 1.#** 1.'**
*.*%5* *.25%* *.4#2* *.%*5* *.)%%* 1.2%'*
3.'4 4.'* 5.%# #.%2 %.#% '.#3
:*.3# :1.23 :2.22 :3.3' :4.#) :#.13
The !low at the toe "ay re"ain supercritical !or certain distance = the slope o! the discharge carrier should e "ore than the critical. @ /ritical 0elocity 0 9 d &ydraulic Mean epth= /ritical
Slope
9-,
9
S!
9
2rovide a slope of Curve *adius at toe
113.5* 113.5* ( 2 . 02 43 +5
"".""
9 level at the end of
T.?.$.
9
351.3*
12.#* 2.5*
9
:
*.1*
x E
2.5 5.*
9
*.**
in
".""
2 . &d
+5 ""."" slope !+. 9
ater Depths on Discharge Carrier of Chute ?pillway :
@
9
12.#*
0el. 0
9
/u"ec
(
12.#* d
0el. &ead h
S(
$ength
epth
0 . l e
d a e
h
9 9 -r
Design of Curve 8o.:
unction o!
+
y
θ tan θ θ
&ere
⇒
k
9 9 9 9
d h
9 9
x 2**.** This curve will "eet the downstrea" slope where
⇒
y
9
dydx
9
<
9
⇒ The coordinates o! the pro!ile x *.** y *.** Design of Curve 8o.:
tan θ
Slope angle o! the !loor upstrea" o! the 1 2**.** 9 *.** *.**5** cos ⇒ !actor o! sa!ety to ensure positive pressure 1.5* depth o! !low at the eginning o! transition velocity head at the eginning o! transition. x2 E ⇒ 4'.)2 dy dx 9 1 #.* 1 x E 9 2**.* %#.*2 .,!
1.** *.*254
3.** *.1))*
y
#.** 9
1
θ
9
4.** *.34%* unction o!
9
x #.**
*.1##%
⇒
*.1#515
y
⇒
#
9
⇒
x.tan θ
9
E
cos x.tan θ
9 x2 53.2)
⇒
y2 y2
6 y1 9 9 e@uired water depth e@uired asin level
2 5.#'
x6√ "
9 9 9 9 9
?tilling ;asin elev. ength of stilling ;asin Basin appurtenances : Chute loc!s "
&eight 7idth Fractional space
asin loc!s "
1 E ' F1 2
&eight h 7idth
Fractional space Slope o! taper !ace o! asin lock is #.. s !ace o! the asin locks should e at a distance o! the downstrea" !ace o! the chute locks . &eight h s $entated %nd &ill " 7idth ,rovide slope o! taper !ace o! dent and sill lock
!.$1
ownstrea" water le 33'.'# 33'.'# +$.""
9 9 9 9 9 9
*.) *.) *.4 1.4 1.1 *.5
9 9
1.1 *.)
4ree Board :
Free +oard !or discharge channel where !low is supercritical Free oard 6 in " 9 v 9 d 9 Free oard 6 in " 9 9 Free +oard !or the side walls o! stilling asin
*.#1 E *.*3 "axi"u" velocity o! !low in "s depth o! !low in "eter *.#1 E *.5 1.13
,rovide sheet pile otto" elevation at
9
341.%*
"
6f 35? sheet ;otto# -l. is a;ove Cistern level then provide -l.' D5? sheet pile :
1.""
#
ischarge intensity >@> epth o! scour /*> 9 1.3#I@2!J13 -nticipated scour 9 1.5
9 9 9
12.#*
cu"ec"
%.$
#
11.*5
"
.$. o! the otto" o! scour hole
9 9
344.54 333.4)
: " yd2 3.2% 3.%% 334.23
E E " "
." .""
# #
Mini"u" depth o! ds cuto!! elow ed level
9 9 9 9 9
$ o! otto" o! sheet pile ?heet pile ;otto# elevation 2rovide sheet pile ;otto# elevation Total floor length and e
11.*5 *.5* *.5*
The exit gradient should e checked !or the condition when there is no water in the stilling asin when high !lood is passing in the riverK this provides the worst static condition. Maxi"u" static head
epth o! d.s. cut o!!=d
head 9 9 9
L?
+.!"
1 >::::
π√λ
$.""
33'.**
#
33'.** : 9
& 9 :::: d
35*.5* :
#
332.**
Total
'
+1.""
#
+.""
# and near the downstrea" cu
2ressure calculations
$et the !loor thickness in the us e e +.!" 6i
#.
pstream sheet pile
d d
9 9 9 9
34#.** 4.3* 1'4.**
: " "
*.*2
9
Fro" Nhosla>s ,ressure curves 9 21.)* λ 9 '#.2) φ/1 9 )*.34 φ1 /orrection !or !loor thickness 9
341.%*
D
α
G
φ1 − φ/1 = *.)4
4.*5
G
#.** 4.3*
" "
6E ve
/orrection !or inter!erence due to ds sheet pile line= / 9 1)O>.6dE where= 9 33'.** : 332.** 9 d 9 34#.** : 341.%* 9 > 9 1'2.5* " 9 1'4.** " Then=
/orrection !or inter!erence due to us sheet pile line= / 9 1)O>.6dE where= d 9 33'.** : 332.** 9 9 34#.** : 341.%* 9 > 9 1'2.5* " 9 1'4.** " Then= /9 *.1# 6: ve
φΕ1
corrected
9 9
1#.1% +.1+
:
1.2*
#.** 4.3*
:
" "
*.1#
6iii The levels o! hydraulic gradient lines at key points under di!!erent !low conditions are given in the !ollowing tale : /ondition
S water level S water level
(o !low 6"ax static head high !lood Flow at pond level
33'.**
35*.5*
344.54
351.**
344.54
35*.5*
&ead
&ightelevation o! susoil &.L. line aove d pstrea" pile line ownstrea !? ! !/ !?1 1**.** )*.34 '%.43 14.'1 12.5* 12.5* 11.2) 1*.)3 1.#% 35*.5* 34).2) 34'.)3 33).#% #.4# #.4# 5.'4 5.#5 *.)# 351.** 35*.3' 35*.1) 345.5* 5.)# 5.)# 5.3' 5.21 *.'' 35*.5* 34).)2 34).%5 345.42
4loor thicness
The "axi"u" static head will occur on the !loor when there is nowater in the S and FT$
2rovide floor thicness '
6iii -t
+.%" #
+$."" " !ro" ds end and upto
nalanced head 9
2.4' "
Floor thickness re@uired
9
2.4' 1.24
2rovide floor thicness ' ."" # ."" " !ro" ds end and upto 6iv -t
nalanced head 9 Floor thickness re@uired
9
2rovide floor thicness '
6v -t
2rovide floor thicness '
nalanced head 9
."" #
1#.** "
3.3% " 3.3% :::::::::: 9 1.24
+."" " !ro" ds end and upto
Floor thickness re@uired
9
.% #
.1" #
nalanced head 9
6vi -t
'.** "
9
33.** "
3.%) " 3.%) :::::::::: 9 1.24 .+" #
$$."" " !ro" ds end and upto
5.11 " 5.11
41.** "
."$ #
8uantity o! launching apron re@uired 9
$ength re@uired 9
).4# 1.5*
2rovide launching apron
9
2.25 ).4#
9
#.31
+.!"
cu ""
"
# deep in a length of
$."
(ii) d.s. protection "
Scour= -nticipated scour= ownstrea" scour level
9 1.5 9 9 9
%.3# 11.*5 344.54 333.4) 3.%%
Min scour depth >> elow d.s. !loor 9
" " :
11.*5
" "
(a) *nverted filter
-S per DS #531 1))4= ust at the end o! concrete !loor on the downstrea" an inverted !ilter 1.5 to 2 long 6 eing the depth o! scour elow ed = consisting o! #** to )** "" deep concrete locks with open gaps 6 1** : 15* "" to e suitaly !illed with coarse "aterial laid over 5** to '** "" graded !ilter= should e provided. The graded inverted !ilter should con!or" to the !ollowing design criteria 15 o! !ilter 15 o! !oundation $ength o! !ilter 9 2rovide +."" with +".""
2
9
rows of c#.gap filled
4.**
P
%.54
"
+.! # with / ;ari / over
15 o! !ilter '5 o! !oundation say +!."" # thick gr +.!
# ".1"
".," # thic gr
E (cu#ecs) F (#) Crest level (#) 4*54* (#) TB (#) (#) 9ates 2iers Av.u5s Bed level 2
' ' ' ' ' ' ' ' ' '
(#) (#) p
'
=a
'
T ength of approach channel
9 9
+"."" !+."" $.!" !".!" !.%"
++."" -ach +"."" -ach
.!" 1.!" ."" $."" ".!" "."+ ".+" .! +""."" ".""
1.** 3*.** 1***.** 23**.** 1'**.** 2***.** 1.%'
" "
" "
113.5* !"
E
*.**
E
*.**
C
5.**
#
.**
5#%.5*
9
.!
9 9
+.!"
#5s
#
.5* .5*
7etted ,eri"eter=2
"
113.5*
E
*.**
E
2.**
C
5.*
Say + in """."" E 0el.&ead : : *.*2%
&ead lo
#
#
h!
9
hf
9
?f
9 9 9
tion .5*
E
,%
4.5*
(2
.02 43
"
"."$,
(2
.$
.02
43 *.***2#) 1 in 3%13 E &ead Aver /rest E *.32
#
&d 9 9 9
9
9 9
&eight o! spillway crest !ro" strea" ed &ead Aver /rest including head due to velocity o! approach &ead due to velocity o! approach
+.,$
351.2)% .1"
: #
34#.5*
.1"
C Q
*.** *.**
*.5* :*.*4
1.** :*.12
1.5* 2.** 2.5* :*.24 :*.4* :*.5)
3.** 3.5* :*.'2 :1.*%
4.** :1.35
4.5* :1.##
*.** :1.**
≠
:2.** :3.** d d y $ine : :
9 9
&d
1.% x
:4.**
'.15 ; hd '.2*
#
E
d<
:5.** :#.**
9
d '.154
8 @ 0
9 9 9
0.0.d @d
9
0.
.d
ow
A227 9OA ?--= D644-
9
!."
#5s
* *
9
.,
2#
9
1.** 3').3*
#
9
distance. ,.!,
9 "
+ in 1,
#
343.1*
:
*.1*
9
.""
#
#
*.*1' '.*) d2 a
#
Slope
r e t e "
d 2 E * 5 . 3
?f
(2 02 43
9
Σ$
43
Slope
-v. Slope
?
?
h f
.S *
rop in ed
slope and x2 k ;4.6d E hv cos2 θ <
+5 ""
E
slope
+5 $
curve 5*
θ
9
1.**
n the !loor 9 9 dy dx
1 2**.*
9
1.*% %.*) x 24.4#
E
1 #
3.)5 *.33)4 slope and 1.5*
+5 $
k
θ
9
+5 $
d h
*.)'#4
9 9
slope 1.** '.13
x2 k ;4.6d E hv cos2 θ <
E
dy dx
9
1 #.*
E
x 2#.#4
:1
⇒
#
y2
vel : " ?ay
1.""
#
#
* * * * * 3
" " " " " "
F 0
9 9
Top length Spacing etween lock and wall. Top length Spacing etween lock and wall.
.,! +.%
y2 y1
9 9
9 9
*.)* *.)*
" "
9 9
*.*3 1.1*
" "
11 .!"
* *
" "
Top length Spacing
9 9 21
%'
v.d13 9 9
2
14.34 *.''
" *.1* *.)*
!ro" " "
!.$1 ".1%
6where yd is water depth in " at ds
to!!
tu" pile line !1 11.3% 1.24 33).24 *.%3 345.2% *.#' 345.22
!/1 *.** *.** 33'.** *.** 344.54 *.** 344.54
#.
ded # ded
C.C. ;locs
*
ss
5.** #.** :1.)) :2.%4
%.** :3.5)
%.5* '.5* '.#5 :4.*# :5.*5 :5.21
1*2 *.**** :*.*5** :*.1***
O* CAC3AT689 AT-* D-2TH AT -8T ?-CT6O8 +."% +." +."" ".,% "., ".,
"."" "."" "."" "."" ".""
".," ".1, ".11 ".1%
"."" "."" "."" ".""
-ctual
T.?.$. +otto" ?lev.
cal.
at
-ctual T.?.$.
T.?.$
4roude 8o. 4
+ -44-CT O4 A22*OACH D-2TH : 0-$?S AF /A?F
/ A 1.%** 1.'** 1.'5* 1.)** 2.*** 2.1** 2.15* 2.1#* 2.1%* 2.1%4 2.1%5
0-$?S AF , & d , & d *.*** *.*5* *.1** *.15* *.25* *.5** 1.1** 1.5** 2.*** 2.5** 3.***
-44-CT O4 D-2TH O
2.2 !6x 9 : *.*25%#4)22)xR# E *.2%1%2154#2xR5 : 1.1442)#342xR4 E S 9 *.))'%)1#%'4
2.1
o 2 C 4 O ? 1.) 3 . A &
1.'
, & d
9
*.1*4
/ A 69 Q
9
1.'#
-44-CT O4 32?T*-AF 4AC- ?O2- : 0-$?S AF /A?F
0-$?S AF , & d
FA S$A,?S +(H) : (&) / i / v , & d 1 *1**
* 15*
1.% *.***
*.5**
1.***
1.5**
2.
&A.3-? O4 25Hd
1.*1'5 1.*1#* 1.*135 1.*11* 1.**)* 1.**%5 1.**#* 1.**5* 1.**4* 1.**32 1.**2# 1.**2*
*.4** *.5** *.#** *.%** *.'** *.)** 1.*** 1.1** 1.2** 1.3** 1.4** 1.5** FA S$A,?S (H) : (&) / i / v , & d
1.*4** 1.*34* 1.*25* 1.*1'* 1.*13* 1.**'5 1.**45 1.**2* *.)))5 *.))%' *.))#4 *.))5' *.))52 * ))4'
*.15* *.2** *.3** *.4** *.5** *.#** *.%** *.'** *.)** 1.*** 1.1** 1.2** 1.3** 1 4**
? T 8 6 C 6 4 4 O C 4 O O 6 T A *
. 1.****
*.))**
*.)'** *.***
*.5* 0-$?S A
, & d / i / v FA S$A,? 16&360 /i / i / v FA S$A,? 26&360 /i / i / v FA S$A,? 36&360 /i
& & d
9
1.3**
/ / A /
9 9
1.*4* 1.)34
(a) -44-CT O4 DO8?T*-AF A2*O8 68T-*4-*-8C- A8D DO8?T*-AF ?3BF-*90-$?S AF /A?F
0-$?S AF h d 5 H d
Cs 5 C
h d 5 H d
Q:-CDS
C:-CDS
*.*** *.43* *.#5* *.%'* *.'5* *.)** *.)2* *.)4* *.)5* *.)#* *.)%* *.)'*
*.*** *.*5* *.1** *.15* *.2** *.25* *.3** *.35* *.4** *.45* *.5** *.55*
C 5 s C T 8 6 C 6 4 4 O C 9 * A H C ? 6 D * 4 O T T 8 6 C 6 4 4 O C D 6 4 6
*AT6O O4 D6?CHA*9- CO-446C6-8T? D3- TO A2*
6 6
*.)#4 *.)'2 *.))2 *.))#
1.4** 1.5** 1.#** 1.#5*
C D 6
4 6 D O 4 O O 6 T A * 9 !6x
6 h d E 1 & d /s / /s
*AT6O O4 D6?CHA*9- CO-446C6
F
1.***
: 4.%3))#2))3xR5 E 32.45'*1)%*%)xR4 : '%.'2#')#234 S 9 *.))))55#241
9 9 9
1.#5* 1.**4 1.)*2
*.)**
*.'**
*.%**
1.***
=p J =a
Coefficients :000 =p +
1.1** 1.2** 1.3** 1.4** 2O?6T 6O8 O4 DOB8?T*-AF A2*O8
=
For s@uare nosed pier with corner rounded on a radius e@ual to aout *.1 o! pier thickness For round nosed piers with )* cut water For pointed nose piers *
+
For s@uare aut"ents wit at )* degree to direction
For rounded aut"ents at )* degree to direction *.5&d B9 r B9*.15&d
For rounded aut"ents and headwall is placed no degree to direction o! !lo
"."
"."+ ".""
*.# *.' 1.* 1.2 1.4 1.# 1.'
:*.*%5 *.*%5 *.25' *.4%* *.%*5 *.)%3 1.2#)
:*.4#5 :*.32* :*.145 :*.*55 *.2)4 *.5#3 *.'5%
:*.%** :*.5#) :*.411 :*.22* *.**2 *.243 *.531
*.# *.' 1.* 1.2 1.4 1.# 1.'
:*.*'' *.*%5 *.25% *.4#2 *.%*5 *.)%% 1.2%'
:*.53) :*.3') :*.2*2 *.*15 *.2## *.521 *.'#*
:*.'4% :*.%25 :*.5#4 :*.35# :*.1*2 *.1%2 *.4#5
Hydraulic u#p type stilling ;asin with horiMontal apron : Basin 6 e! DS4))%:1)#'=,-L?:15 FDL.'- &ydraulic Hu"p type stilling asin
F1 1.#* 2.*** 3.*** 4.*** 4.5**
$ 2 2.%5 3.15* 4.*5* 4.%5* 5.***
O 6 T A * ) *-COFF-8D-D .-89TH 4O* BA?68 6
D 5 5.** ;4.5* .
!6 x 9 : *.*12%21*5'1xR3 E *.*13'%5%2'#xR2 E S 9 *.)))))))15#
4.** 3.5*
1
; 5 D
9 9
4.)4) !.+$
3.** 2.5* 2.** 1.5* 1.** *.5* *.** 1.**
1.5*
2.** 2.5* 4*O3D83FB-* (3.** 4 +)
3.5*
4.**
4.5*
. 4.** 3.5* 3.**
!6 x 9 : *.*2%%3315%'xR2 E *.#1'#'2)*54x 9 *.))')4%'*42
2.5* 2.** 1.5* 1.** *.5* *.** 4.**
i"ension sketch !or +asin DD
#.**
'.**
1*.*
e!: DS 4))%:1)#' ,age 1#
BA?68 BOC= 4O* 6 5 66
F1 1.4* 2.** 3.** 4.**
h 1 *.4* *.%5 1.2* 1.4*
A223*T-8A8C-? 4O* +-SD( +$A/N asin lock initial curve 4.** 3.5*
4.** '.*** 12.*** 1' ***
1.4* 2.*5* 2.#%* 3 #**
$inear 6+-SD( +$ ,olyno"ial 6asin
3.**
+ 2.5* D 2.** 5 ;
!6x 9 *.15#'2242))x E *. 9 *.)))'%'5523
4 A22*OACH
2.45%#%'314%xR3 : 2.'4%4'3'323xR2 E 1.%2#)##2523x E 1.%*#4*5#3#2
***
2.5**
3.***
1.***
F , &d
9 9 9 9 9 9 9
*.1*4 ((((1.*4# 1.)4#
1.5**
C- :
8 -44-CT
-8T ? D3 - TO TA6. BAT-* -44- CT
xR3 E 11#.%)#24*21)'xR2 : %5.#23#2'5)%)x E 1).%1#2*34#2#
1.5** 1.#** ( hd > d)5 Hd
h headwall at ! !low
1.%**
1.'**
"."
ith headwall at ! !low= when
".+"
here r B*.5&d t "ore than 45
".""
*.# *.' 1.* 1.2 1.4 1.# 1.'
:*.*%# :*.*#* :*.24* *.445 *.#%5 *.)25 1.1%%
:*.425 :*.2'5 :*.121 *.*#% *.2'# *.521 *.%2)
ith horiontal apron
+-SD( D
.*%2)#2#213x E 1.*5**11)*'3
5.**
+-SD( D
:*.#') :*.54) :*.3') :*.215 :*.*11 :*.2*' *.43'
*.4'1#'**52%
*
12.**
A?68 66 /N lock initial curve
'33#44'#
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