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%

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    ement.

    *m%

    '*m%

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    0.30

    2.

    25

    0.15

    0.40

    'm%

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    or

    *m *'*

    m

    m

    m

    m thi*9 mem-er 0.30I o

    *m%

    *m%

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    t

    a o the -ase.

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    m

    tm

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    m%

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    '*m2

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    Cm

    m

    tm

    m

    tm

    50&.465 CB

    50&.065

    508.8%5

    508.0(5

    50&.500 7

    503.100 $CC /op

    50%.500 Fond.

    m reinor*ement has to -e% /here ore this is a short

    *m%

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    t'm%

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    ae.

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    t-

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    tm

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    t-

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