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7/24/2019 Aqueduct Designs Modified
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DESIGN OF AQUEDUCT AT CH: 5.420 TO 5.560 KM OF MALLABAD LIFT-2.
Canal details:
Bed width = 3.50 m
FSD = 1.80 m
FB = 0.60 m
Side Slopes = 1.5:1
Bed Slope = 1 in 4000
n = 0.018
Area= 3.50!1.50"1.80#"1.80 = 11.16
$= 3.50!%"1.80"1.80%8 = &.&& m
r= 11.16'&.&& = 1.1%
1.0(84(&(&&&
)1 = = 0.&46 m'se*
= 0.046
+ = 11.16 " 0.&46 = 10.56 C,me*s
$ropose -ed width o the /ro,h as 6.0 m.
FSD = 1.80 m
Area = 6.00 " 1.80 %"0.15"0.15#'% =
$ = %"1.65 ! %"0.15"1.414% ! 6.0 =
r= = 10.(8 ' &.(% =
1.0(%
)% = 10.56 ' 10.(8 = 0.&80 m'se*
= 0.04&
S= = 0.000%(08
Bed /ransition rom 3.50 m to 6.00 mDi2. 6.003.50 = %.50 m on ea*h side %.50'%=1.%5 m
= 0.1853
= 1.%5'0.1853 = 6.(46
eep ( m enth o /ransition
enth o the CC /ro,h = 140 m rom Ch: 5.4%0 to 5.560 m
/B Beinnin = 511.&15 m
sill or lowest 7 = 50(.505 m
eiht o Ban9 = 4.41 m
Adoptin 1.5 :1 Slope o the Ban9 the ori;ontal distan*e reision is made or head loss in the Canal -ed le>els se*tional area o the re*tan,lar /ro,h has to -enormal Canal se*tional area eepin the FSD in Canal and /ro,h same /he -ed width o the /ro,h ealent6.%0 m.
r%'3 =
)%%'% = 0.&80%'%"&.81#
0.&8"0.018#'1.0(%
$ropose 10.50 transition enth= 1.35'/an /an 10.50
CB at the end o D'S /ransition atm 5.56(
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At Secti! 4 4
CB 50&.4%8
Depth o ater 1.8
511.%%8
0.046
/.?. 511.%(4
At Secti! " "
/.?. at 4 4 511.%(4
ead loss in e"pansion
0.000&
Fri*tion oss
0.001(8
/.?. 511.%((
0.04&
511.%%8
Depth o ater 1.8
CB 50&.4%8
At Secti! 2 2/.?. at 3 3 511.%((
Fri*tion oss
0.036%
/.?. 511.313
0.04&
511.%64
Depth o ater 1.8
CB 50&.464
At Secti! # #
/.?. at % % 511.313
ead loss in Contra*tion
0.0006Fri*tion oss
0.001(8
/.?. 511.315
0.046
511.%6&
Depth o ater 1.8
CB 50&.46& Aainst 50&.466
ST$UCTU$AL DESIGNS
All mem-ers o the str,*t,re are with CC %0 As this is a water retainin str,*t,re desin is -ased on S 33(0 $ar
$ermissi-le *ompressi>e stress in -endin in CC %0
$ermissi-le /ensile stress in steel SD -ars ConErmin to S 1(861&66 113&1466 as per S 33(0 $art #
1500 9' m% or li
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For a*es awa@ rom lie B = 1336&.80 " 100
1&00"0.8&% "35
= %%.54 *m = %%.54
Ast'm or Dire*t $,ll = %880 ' 1500 = 1.&%
/otal %4.46
Spa*in o %0 mm dia = 3.14"100 ' %4.46 = 1%.83 *m *'*
a"im,m #>e B = %880 ! 4%0 = 3300.00
Ast'm = 3300.00 " 100
1500"0.8(4 "35
= (.1&
Spa*in o %0 mm dia 3.14"100' (.1& = 43.6( *m *'*
eep %0 mm dia 30 *m *'* Bend alternati>e -ars o !>e B ma@ -e -ent or >e B the Area will -e
3.14"100'30 = 10.46 *m% G(.
en*e H
(0'%"-"0.3%4"0.8&%"d%
3360"6.3%'8
1000"%.40%'%"%.40'3!0.40'%#
1000"%.40%
*m%
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Distri-,tion Steel
or 400 mm thi*9 = 0.300.1'350"300 0.%143I
less %0I or SD -ars = 0.04%8I
et Iae o steel 0.1(15I
= 0.1(15'100"100"40 6.86
Hn ?a*h a*e = 6.86'% 3.43
%0I o the main reinor*ement=%0.%("0.%0 = 4.05
Spa*in 1% mm dia = 1.13"100'4.05 %(.&0
eep %5 *m C'C as distri-,tion or /op and Bottom
1.50
6.20
0.30
0.15 x 0.15
0.60
All measurements are in meters
L%&i!' ! Si&e (%))*Sel weiht
Base = 0.60"0.40"%.40 = 0.5(6
t. o wall = 0.30"%.%5"%.40 1.6%
Ellets = 4"0.15"0.15"%.40'% 0.108
wt o oot path = 1.50"0.%0"%.40 0.(%
li>e load on oot path = 1.50"0.60 0.&
wt o Sla- = 6.00"'%"0.4"%.40 %.88
wt o water = 6.00'%"%.40"1 (.%
/ie -eam = 6.00'3"%#"0.30"0.30"%.40 0.%%
= 0.30"0.15"%.4 0.108
14.33%
= 14.33% t'm
As per S 33(0$art# 1&65 inim,m steel in ea*h o the two dire*tions or 100 mm thi*9 mem-er 0.30I o *on*mem-er 0.%0I o Con*rete area.
*m%
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?2e*ti>e Span = ( m C'* -earin
For a" B. =
=
= 8(.(1 t'm
d = 8(.(10 " 100000
30 " 10.115 #
= 1(0.01 *m
/otal Depth = %.40!0.%0!0.40=3.00 m?2e*ti>e depth = 3.000.05 =%.&5 m A>aila-le
Ast'm = 8&.43 " 100000
1&00"0.8&% "%&5
= 1(.0%
$ro>ide 6 os %0 mm dia 3.14"6=18.84 s
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300"150 0.8("415
en*e H.%.%3 " 103G 1.108
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Che*9 or ?"treme Stesses.
Base 0.60"0.40 = 0.%4"0.%0 = 0.048
wall 0.3"%.40 = 0.(%"1.6%5 = 1.1(
Ellets -ottom %"0.15"0.15'% = 0.0%%5"0.45 = 0.01
Ellets /op %"0.15"0.15'% = 0.0%%5"%.&5 = 0.066
ootpath 1.5"0.15 = 0.%%5"3.0(5 = 0.6&%
Sla- %.6"0.4 = 1.04"0.%0 = 0.%08
/op -ottom Ellets 0.3"0.15 = 0.045"%.&%5 = 0.13%%.33 %.3%6
" = %.3%6'%.33 0.&&83
Sa@ 100 Cm
1.50
6.00/2
0.30
2.4 180
100
60.86
0.60
All measurements are in meters
I++
Base = 3%0000
= 15360000
Ellets -ottom = %81%
= 56%500
all = %160000
= (4148(50
Ellets /op = %81%
= 81%%500ootpath = 4%18(
= &10%8&%.41
Sla- = 15%0000
= (%&60000
184304453
or 1843.044534
=
@
=m# " @#
=
= 3.30 L 1(
1'1%"60"403
60"40"80.00%
%"1'36"15"153
%"15"15'%"50.00%
1'3"30"60.003
1'3"30"1&5.003
%"1'36"15"153
%"15"15'%"1&0.00%
1'1%"150"153
15"15"%01.14%
1'1%"%85"403
%85"40"80.00%
*m4
m4
%"8%.%58"105"1.00
%"1843.044"105
'm%
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$ermissi-le and sae.
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Side walls as *antile>er
ater press,re a-o>e Ellets = %531.%5
oment = %531.%5"%.%5'3 18&8.44 9m
; =
Stress =18&8.44"16
M 0.13
hi*h is ar less than the permissi-le /ensile stress o plane *on*rete %0.
or 300 mm thi*9 = 0.300.1'350"%00 0.%4%8I
less %0I or SD -ars = 0.0485I
et Iae o steel 0.1&43I
Ast'm = 0.1&43'100"100"30 5.83
Hn ?a*h a*e = 5.83'% %.&15
Spa*in 8 mm dia = 0.501"100'%.&15 1(.18eep 15 *m C'C -oth wa@s and -oth a*es.
ind press,re:
Ass,me %40
oment = %40"3.0"3.0'% 1080
ess than the moment d,e to water press,re. $ro>ide same reinor*ement that o or inner a*e whi*h is minim,m.
,IE$ CA,
enth o pier *ap
width o /ro,h = 6.00!%"0.30!%"0.15# 6.&Allowin 0.%0 m o2set on either side
enth o pier *ap = 6.&0!0.%!0.%0= (.3
t o let side wall
Base 0.60"0.40"%.40 = 0.5(6
wall %.40"0.30"%.%5 = 1.6%
Ellets 4"0.15"0.15'%"%.40 = 0.108
/op 0.60"0.%0"%.40 = 0.%88
Bed 5.('%"0.40"%.40 = %.(36
/ie 5.%5'%"0.30"0.30"%.40 = 0.56(
ater 6.0'%"%.40"1 = (.%
13.0&5 sa@ 13.0&5 t
t o riht side wall = 14.3%8 t
/otal loads = 13.0&5!14.3%8 %(.4%3 t
or ( m = %(.4%3 " ( 1&1.&61 t
/his load is distri-,ted on (.30 m lenth
load per m = 1&1.&61' (.3 %6.30 t
H>er hanin moment = %6.%&"0.50"0.%5 3.%& m
Free B =
= 110.5&15
#>e B = 3.%&
/otal 10(.3015 tm
1000"%.%5%'%
1'10"100"30%
100"30%
'm%
owe>er minim,m reinor*ement as per S 33(0$art# 1&65 inim,m steel in ea*h o the two dire*tions or 100*on*rete area or 450 mm thi*9 mem-er 0.%0I o Con*rete area.
'm%
%'8
%6.30"5.80%'8
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$ermissi-le stresses as per S 456%000
or Bendin Compressi>e %0 = %0
or Steel o Fe 415 = %300
l=
%300 1(%.5
m 13.333
m =%800 13.333
3"(0
(0=
1(%.5 0.%886n dn
d = 0.%886'3 0.&03d
= 1'%"(0"-"0.%886d"0.&038d
=
d =150"&.1%& 88.5% *m
$ro>ide o>erall depth o pier *ap as (5 *m d=(0 *m
oment o Balan*ed se*tion = tm
At1 or Balan*e se*tion =
%300"0.&038"(0 46.116
Balan*e moment= = 10(.36(.10 tm
m = 0.%886"(0 %0.% *m
*N at Compressi>e reinor*ement = (0'%0.%0"15.%0 5%.6(
At or Compressi>e steel=
5&.%1
1.50"13.33"5%.6("65
At% = %(.1%%300"65
/otal At1!At% = 46.11!%(.1% (3.%3
o. o %5 mm dia = 15 os. on /op a*e.
or Bottom a*e 5&.%1 *m% o o %5mm dia 1% os.
Shear=%6.%&"6.30'%0.5"%3.3838 = (1.1%% t
stress =6.((
150"(0
Iae o steel =
15"4.&1"100 0.( I
150"(0
$ermissi-le Stress = 0.30!0.05'0.%5"0.% 0.34
or 3.4
Shear ta9en -@ CC = 150"(0"3.4 35(00 m
Balan*e = (11%%35(00 354%% m
Spa*in o 4 leed 10 mm dia = 4"0.(854"%300"(0'354%% 14.%(&1&4 *m
eep 1% *m *'*
,EDESTALS
/otal load on piers = 1&1.&6 t sa@ 1&%there will -e 4 pedestals
load on ea*h pedestal = 1&0'4 = 4(.5 sa@ 48 /
Allowa-le -earin press,re O** = O*o'A1'A%
here Co = permissi-le dire*t *ompressi>e stress in ** at the -earin Are
'm%
&.1%&-d%
10(.30 " 105
150"&.1%&"(0% 6(.10"105
6(.10"105
*m%
40.%0"105
'm%
40.54 " 105 *m%
40.54 " 105 *m%
*m%
(1.1% " 103 '*m%
'mm%
'*m%
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A1 = Dispersed *on*entri* area.
A% = oaded Area
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$roposed si;e o the pedestal as 40*m " 50 *m
A1 Area = 40"50 = %000
A% = 3%"40 = 1%80
side 0.30 I steel = 0.30'100"50"%0= 3
$ro>ide 10mm dia 4 strands rins interlo*9ed.
,IE$
/otal load on pier ,pto -earin le>el
pedestals 1&% tpier *ap 0.38 t
pier 1&.(1 t
o,ndation 8.45 t
64.63 t
6.(4 t
&.3 t
"0#.2# t
oad ,pto ootin = %85.1( t
/hi*9ness o *ol,mn = 0.& m
Iae o steel =%85.1( = 43.4
(.30"0.&0
ind press,re
wind a*e= ("3.10" 66= 143%.% 9
CA% (.54 m = 143%.%0"(.54 = 10(&8.(&
or 10.(&
P = = (.&&
Stress = 10.(&' (.&& = M 1.350
inim,m ?**entri*it@
,n s,pported lenth o the *ol,mn = 0.5(5!4.40 = 4.&(5 m
4.&(5"100#'500!&0'30#= 3.&&5 *m or 4 *m = %(1.8%"0.04 = 1.8(
P = = 0.&18
Stress = 10.8('0.&18 = M 11.84
Com-ined Stress
ominal stess M 44.4%
wind or*e M 1.58
?**entri*it@ M 11.84
a" ! 5(.84 o /ension H
in ! 31.00 on CC
a"im,m *ompression 5(.84
or 5.(8
en*e no reinor*ement or strenth.
*m%
*m%
*m%
t rom 7 = 1.&65!%.(5= 4.(15 m or this wind press,re is 66 'm%
1'6"(.30%"0.&0
1'6"6.80"0.&0%
t'm%
t'm%
t'm%
t'm%
t'm
%
t'm%
9'*m% ar less than permissi-le 50
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einor*ement or $ier
Area o *ol,mn ree stress is less than the allowa-le no reinor*ement or strenth is reer minimpro>ided. Considerin pier as *ol,mn atio o heiht to -reast dimension o the *ol,mn is 4.&(5"100'&0 =5.53 L*ol,mn.
or 1 m lenth = 543('6.80 =(&&.4( sa@ 800 *m
%
11.85"6'1.(0"(.60%#
11.85"6'(.60"1.(0%#
t'm%
t'm%
t'm%
t'm% a". L SBC ie. %&.86 t'm%
t'm%
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4350
Sl.o. $arti*,lars )erti*al or*e t oments tm
1 1'% " 0.(5 " 4.&(5 " %.40 4.48 3.55 15.&0
% 0.&0 " 4.&(5 " %.40 10.(5 %.85 30.63
3 1'% "%.10 " 4.&(5 " %.40 1%.54 1.(0 %1.31
4 1'% "%.10 " 4.&(5 " %.00 10.45 1.00 10.45
5 %.10 " 0.&& " % 4.16 1.35 5.61
6 0.30 " 5.&65 " % 3.58 0.15 0.54
( 1'% " 0.66 " 4.40 " %.00 %.&0 3.83 11.1%
8 0.30 " 4.40 " % %.64 4.%0 11.0&
& /ro,h load 13.1& %.85 3(.5&
10 4.35 " 0.6 " %.4 6.%6 %.18 13.6%
11 0.&0 " 0.(5 " %.40 1.6% %.85 4.6%
2.5 #62.4/
14.3( 6.653'3 31.43
#8.33 5'3. #13.8&
5.36 6.653'% 1(.60
H ##.40 M #1.62
R=
1&(.6%
(%.5(
= %.(% m
L %'3"4.35= %.& Sae
e=%.(%%.1(5 = 0.545
$ ma" =
1 M6e
B B
=(%.5( 1 ! 3.%(
4.35 4.35
$ ma" = %&.%%
= He!ce
$ro>ide 10 mm dia %5 *m *'* -oth wa@s as s,ra*e reinor*ement.
ABUTMENT CA,
enth 6.8 m
width 0.& m
/ro,h load'm %5.63 t as *al*,lated or pier *ap#
load on A-,tment ('%"%5.63 8&.( t
load 'm o A-,tment 8&.(05'6.80 13.1& t'm
For a" B. =
== 55.4( tm
?nd ?ner@ moment =
=
ori;ontalor*e t
le>er armm
?arth press,re ear=1'3"%"6.565%'%
?arth press.ront=1'3"%"5%'%
S,per imposed water load 1'3"%.45"6.565
t'm%
L SBC o strata i.e %&.86 t'm%
%'8
13.1&"5.8%'8
%'%
13.1&"0.50%'%
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= 1.65 tm
et anin moment = 55.4(1.65
= 53.8% tm
d =&0"&.1%& 80.&4 *m
eep o>erall depth (5 *md = (0 *m
Balan*e moment witho,t *ompressi>e steel
= =
Balan*e moment = 53.8%40.%5& = 13.561
n = 0.%886"(0 = %0.%
* = (0'%0.%0#"15.%0 = 5%.6(
At or Compressi>e steel=
1&.81
1.50"13.33"5%.6("65
$ro>ide 4 os %5 mm dia
= 4"4.&1 = 1&.64
At1 or Balan*ed se*tion=
%(.6(
%300"0.&038"(0
At% or *o,ple=
&.0(
%300"65
/otal or anin moment = %(.6(!&.0( 36.(4
inim,m steel = 0.1%'100"&0"(0 = (.56
on top a*e pro>ide 8 os %5mm dia
= 8"4.&1 = 3&.%8
Shear or*e = 5.80'%"13.1&0.50"13.1&= 31.65
or 31560
Stress = 31650'&0"(0# 5.0%
Iae o steel =3&.%8"100 = 0.6%5
&0 " (0
Allowa-le shear stress= 0.30!0.05'0.%5"0.13 = 0.3%46
or 3.%4
Shear ta9en -@ CC = &0"(0"3.%4 = %0141%
Balan*e = 31650%041% = 11%38
Spa*in o 10 mm dia % leed stirr,ps = %"0.(854"%300"(0 %%.5
11%38
$ro>ide 10mm dia %0 *m *'* % leed stirr,ps.
1.50
T$ANSITION 3ALLS
300
%.45
6
4 %
3 &6.365
1
53.8% " 105
&0"&.1%&"(0% 40.%5& " 105
13.561 " 105
40.%5 " 105
13.561 " 105
'mm%
'*m%
58
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0.60 QoQ 10
0.30 3.00 0.45 1.80 0.30
5.%5
5.85
Sl.o. $arti*,lars )erti*al or*e t oments tm
1 0.15 R 0.15 R %.40 4.48 3.55 15.&0
% 0.45 R 8.&65 R %.40 10.(5 %.85 30.63
3 1'% " 3 " 6.365 " %.40 1%.54 1.(0 %1.31
4 1'% " 3 " 6.365 " %.00 10.45 1.00 10.45
5 0.30 " 6.365 " %.00 4.16 1.35 5.61
6 3.3 R %.(5 R % 3.58 0.15 0.54
( 1'% " 1.80 " 6.365 " %.00 %.&0 3.83 11.1%
8 1'% " 1.80 " 6.365 " %.00 %.64 4.%0 11.0&
& 0.3 R 6.365 R % 13.1& %.85 3(.5&
10 5.85 " 0.6 " %.4 6.%6 %.18 13.6%
/otal Co ###.65 "06.1131.46 &.(15'3 101.88
#16.1( 6.&65'3. #3(.54
H ###.65 M "#.""
R=
3(1.33
111.65
= 3.33 m
L %'3"5.85= 3.& Sae
e=3.33%.&%5 = 0.405
$ ma" =
1 M6e
B B
=111.65 1 ! %.43
5.85 5.85
$ ma" = %(.0%
= He!ce
$ min = 1&.0&"0.585 11.1( He!ce
einor*ement or >erti*al wallsDepth o water to -e retained. = %.45 m
water $ress,re = = 3001.%5 m
d =3001.%5 " 100
100"11.563 16.1 *m
A*t,al d a>aila-le= 4540.50 = 40.5 *m
Ast=
3001.%5"100 5.65
1500"0.8&4"40.50
Spa*in o 10 mm dia=
0.(854"100 13.&6 *m
5.65 or 1%.5 *m
in = 0.%0'100"100"45 &
%0I o &*m = (.% *m
on ?a*h a*e = (.%0'% 3.6 *m
ori;ontalor*e t
le>er armm
?arth press,re ear=1'3"%"&.(15%'%
?arth press.ront=1'3"%"6.&65%'%
t'm%
L SBC o strata i.e %&.86 t'm%
t'm%
100"%.45%'%
*m%
*m%
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Spa*in o 10 mm dia=
0.(854"100 %1.81 *m
3.6
eep 10 mm dia at %0 *m *'*
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Foot path
enth o *antile>er= = 1.500.45#'% = 0.5%5 m
Sel weiht = 0.30"%400 (%0
i>e load = 600
13%0
= = 181.&1 m
d =
181.&1"100 4.463 *m
100"&.1%&
d a>aila-le is 305=%5 *m
Ast=
18&.&1"100 0.365
%300"0.&04"%5
in = 0.300.10'350#"50 0.%85( I
#%0I or SD -ars = 0.05(1 I
/otal 0.%%86 I
Ast=
0.%%86"100"30 6.858
100
Spa*in o 10mm dia = 0.(854"100'6.858 11.45 *m
eep 10 mm dia at 1%.5 *m *'* -oth wa@s.
13%0"0.5%5%'%
*m%
*m%
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10.(8
&.(%00 m
1.11
1 in 36&3
5.56(
appro"imatel@ e
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Di2=0.003
B # 1&65 and S 46%00
0.3(8d
11.563
*e the si;e o the /ro,h as
-d%
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10.115
m
m
m
m
1% *m *'*
m
3
-d%
*m%
*m%
*m%
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or
*m *'*
0.
20
2.
30
0.
15
0.
40
Sa@
rete area or 450 mm thi*9
*m%
*m%
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