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St Sebastian South Diversion

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    AUGUST 2012 

    ST. SEBASTIAN SOUTH

    DIVERSIONCONCEPTUAL DESIGN REPORT

    1

    Project No. SLLRDC/W/13

    Doc!e"t "o. CD/SSD/0#

    Ver$%o" &er$%o" 1

    D'te o( %$$e 31 A)$t 2012

    Pre*'re+ ,r$ S. S-%' De&% De$%)" E")%"eer

    C-ece+ ,r. ,. ,. ,. ,o('r H+roo)%$t

    ,r. O. T-')'$'tt' Strctr' E")%"eer

    ,r$. A. H. T-$-'r% Project ,'"')er

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    Contents

    1 General Description...............................................................................2 Scope of Work........................................................................................3 Design Basis...........................................................................................

    4 Performance Criteria.............................................................................5 Metho of Calc!lating..........................................................................." #!nctional Description...........................................................................$ %echnical Basis.....................................................................................& Cost 'stimate.......................................................................................

    List of Figures

    #ig. 1 ( Sections of Beira

    #ig. 2 ( )ocation map

    #ig. 3 ( Catchment area#ig. 4 ( Schematic iagram of *'C(*MS

    #ig. 5 ( +ption 1

    #ig. " ( +ption

    #ig. $ ( +ption 3

    #ig. & ( Propose impro,ement

    #ig 1- ( Crest of the +gee spill a/

    #ig 11 ( Pattern of */ra!lic 0!mp#ig 12 ( */ra!lic 0!mp interprete / specic

    energ/ c!r,e

    #ig 13 ( Simple horiontal apron for stillingasin

    #ig. 14 ( Dimensions of the *B ,ehicle

    #ig. 15 ( #ront 'le,ation of Weir

    #ig. 1" ( Spilla/ longit!inal section

    List of Tables

    %ale 1 ( np!t ata to *'C(*MS

    %ale 2 ( Details of minim!m concrete co,er

    %ale 3 ( Safet/ factors for S)S 6)S

     

    1

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    1 General Description

    %he Beira )ake is locate in the heart of the cit/ of 

    Colomo7 an has a highl/ !ranie catchment of 

    "8"ha that is mostl/ 9at7 ith gro!n le,els

    ranging from less than 1m to "m ao,e mean seale,el. %he lake co,ers "5.4 hectares an has a

    mean epth of 2.-m. t comprises fo!r main asins:

    the 'ast )ake7 the Galle #ace )ake7 the West )ake

    an the So!th West )ake. %he 'ast )ake is the

    largest an eepest asin ;43.2 ha7 ma

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    Fig 1 - Sections of Beira

    3

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    2 Scope of Work  

    %he poor >!alit/ of ater in the St. Seastian

    So!th canal sho!l not e p!mpe in to the Beira

    lake ,ia the p!mping station at so!th lock an also

    the o!t9o from the poll!te @orris canal sho!lnot e ischarge to the Beira lake. %herefore it is

    propose to i,ert the 9o of @orris canal an the

    ischarge of So!th lock p!mping station !sing ne

    i,ersion canals into the sea o!tfall onstream to

    the Macc!l!m lock gate as shon in Fig.2

    Fig 2 - Location map

     At present7 storm ater from highl/ !ranie

    catchment area of Beira lake normall/ rain o!t in

    to the sea ,ia circ!lar eir in Gall face lake at

    Galle face near ol parliament premises. %he crest

    le,el of the eir is 1.&m MS). n aition to this

    there are to lock gates for @a,igation p!rpose

    5

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    one is calle Macc!l!m lock gate at lake ho!se the

    'ast Beira lake to the Colomo haro!r7 an the

    other one is So!th lock gate at Maraana %echnical

    college connect the east Beira lake to the

    St.Seastian so!th canal.

    %he Beira lake is compose of inter connecte

    ater oies namel/ the east lake7 Galle face lake7

    est lake an so!thest lake respecti,el/. %he

    total area of Beira lake is $1ha

    an the gro!n le,el s!rro!ning the lake ,ar/

    from aro!n 2.- m MS) to " mMS).

     At the St.Seastian So!th canal lock gate ehin

    the Maraana %echnical 0!nction7 there is a p!mpho!se that is !se to p!mp ater from the canal

    into the lake to spill to the sea / the spilla/

    hen neee. %he p!mping capacit/ of each p!mp

    is 1&-78- an 8- ls respecti,el/7 hich is

    constr!cte to maintain the ater le,el ;1.& m

    MS)= of the Beira lake. %he presents of former to

    p!mps are reporte7 !t the/ ha,e een o!t of 

    commission !e to non ae>!ate amo!nt of 9o to

    operation s/stem.

    %he semicirc!lar concrete spilla/ is going to

    constr!ct at lonel/ pelican(Beira lake. %he spill

    crest le,el is 1.&5 m MS) hich maintains the

    present minim!m ater le,el of the lake an keep

    aa/ from o!tlet of St.Seastian canal ,ia Beira

    lake in to the sea.

    %he r/ 9o of @orris canal is alloe to 9o into

    the Beira )ake ,ia lter meia ;ee Be= to

    impro,e the ater >!alit/ an to a,oi the ater

    !nalance in the Beira )ake !ring r/ eather

    perio. Part of the et eather 9o is i,erte ,ia

    !nergro!n i,ersion canal along the D  

    Wi0earhane Maatha into the @orthern #elcon

    of 'ast Beira )ake an then the 9o from this

    7

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    i,ersion together ith the 9o from the

    catchment of the #elicon an the 9o of the p!mp

    station at So!th )ock are i,erte ,ia semi circ!lar

    eir folloe / !nergro!n canal along the

    Bastian Maatha an +lcott Maatha into the Sea

    +!tfall onstream to the Macc!l!m Gate tomitigate the 9oos in the areas of Pettha7

    s!rro!ning of Beira )ake an @orris canal.

    9

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    3 Design Basis

    Methodolog 

    %he prime o0ecti,es of propose i,ersion of 

    storm ater from @orris Canal an so!th lock p!mp

    station are7

    1 Mitigate the 9ooing of areas of Pettha area7

    s!rro!ning areas of @orris Canal an

    Maligaatta Area.

    2 Pre,ent the ischarge of poor >!alit/ ater in

    St.Seastian So!th Canal.

    3 mpro,e the E!alit/ of poll!te ater of @orris

    Canal in Dr/ eather 9o in to the Beira )ake

    %o achie,e the ao,e 17 2 an 3

    ;a= %he part of et eather 9o of @orris Canal

    is i,erte into the @orthern #elicon of 'ast

    Beira )ake / constr!cting !nergro!n

    reinforce concrete o< canal along the D  

    Wi0earhana Maatha.

    ;=%he ischarge of So!th )ock p!mp Station

    an storm ater 9o from the catchment of @orthern #elicon together ith 9o from

    @orris anal i,ersion in ;a= ao,e are

    i,erte to the Sea +!tfall onstream to

    the Maccal!m Gate / constr!cting

    !nergro!n reinforce concrete canal along

    the Bastian Maatha an +lcott Maatha.

    ;c= %o a,oi the !nalance of ater !get of 

    Beira )ake in r/ eather perio 7 ischarge

    the r/ eather 9o of @orris Canal into the

    Beira )ake thro!gh horiontal 9o ee Be

    to impro,e the >!alit/ of poll!te ater of 

    @orris Canal.

    ;=

    !e" Standards

    !f"

    ;g= Stanar for h/rological an h/ra!lic

    anal/sis *'C(*MS Softare is !se to etermine

    11

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    the peak ischarge #lo Master Softare is !se

    to etermine the canal section

    ;h=

    ;i= W'S Stanar Spilla/ Shapes is !se to

    estalish the eir prole.

    ;0=;k= Stanars for str!ct!ral an geotechnical

    esigns British Stanar for steel7 concrete an

    composite riges ;18$&7 188-( BS 54--.

    ;l=

    ;m= British Stanar for str!ct!ral !se of  

    concrete ;18&5= ( BS &11-.

    ;n= BS &--2 : 1884 F Coe of practice for

    'arth etaining Str!ct!res.

    ;o= BS &--4 : ( Coe of practice for

    esign of #o!nations.

    ;p=

    ;>= einforce Concrete Designers *anook7

    Charles '. e/nols an Hames C Steeman7 1-th

    eition.

    ;r=

    13

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    # $erfor%ance &riteria;s=

    ;t= %he o!nar/ conition of i,ersion rain is

    the ater le,el of the Beira lake Maccal!m gate

    onstream. %he esign is carrie o!t for 1- /ears

    ret!rn perio an esign HCA istri!tion. Withthese concepts an information the canal is

    moelle !sing *'C(*MS.

    ;!=

    15

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    ' Method of &alculating;,=

    !(" &alculation of peak discharge

    !)"

    ;/= 'stimate of peak storm ater from *'C(*MS

    moel an !se the #lo master to n the s!italesection of the !nergro!n o< rain.

    ;=

    ;aa=

    ;a=

    (ac) Fig 3 - Catchment area

    ;a=

    17

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    ;ae=

    ;af=

    (ag) Fig 4 - Schematic diagram of HEC-HMS

    ;ah= *'C *MS esign presents peak ischarges /

    rele,ant catchments as a o!tp!t of h/ro graphs7

    to str!ct!ral esign. %he s! catchment areas

    etails are7

    ;ai=

    (a) !a"#e $1 - %np&t data to HEC-HMS

    ;ak=

    !al" Location

    !a%" * 

    !an"M

    !ao"+ 

    !ap"S

    !a,"Di

    ;ar= Ar

    ea

    ;as=-

    ;at=-.

    ;a!=-.

    ;a,=&

    ;a=5.

    ;a

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    asi

    n 1;0= S!

    asi

    n 2

    ;k=

    -

    ;l=

    -.

    ;m=

    -.;n=

    8

    ;o=

    1.

    ;p= S!

    asi

    n 3

    ;>=

    -

    ;r=

    -.

    ;s=

    -.;t=

    8

    ;!=

    -.

    ;,= P!

    mpin

    g

    stati

    on

    ;= ;

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    - Functional Description;cg=

    ;ch= %he intene f!nction of this proposal is that

    the con,e/ance of 9oo ater from @orris Canal 7

    9oo ater ischarge from So!th )ock P!mping

    Station an 9oo ater from catchment of tonger shape @orthern #elicons of 'ast Beira )ake

    into the Sea / passing the Beira )ake to mitigate

    the 9ooing sit!ation in the areas of Pettha7

    G!nasinghe P!ra7 Maligaatta an @orris Canal as

    the con,e/ance capacit/ of circ!lar eir o!tfall in

    Galle #ace )ake at +l Parliament Premises is not

    ae>!ate to cope ith peak 9oo of the Beira )ake

    rainage asin. %hree options co!l e consiere

    as follos.;ci=

    !c." /ption 1

    ;ck= Constr!ction of !nergro!n i,ersion canal

    from location A of @orris canal !p to the location B

    here the St.Seastian So!th canal con9!ence.

     After that the 9o i,erte into the Sea o!t fall

    canal onstream to the Macc!l!m gate ,ia

    !nergro!n canal along the W ' Bastian Maatha

    an +lcotte Maatha;'(#= pro,ie that the nger

    shape @orthern #elicons of 'ast Beira )ake ha,e

    to e lle. Also poll!te r/ eather 9o of the

    @orris Canal has to e alloe to 9o into the

    Beira )ake to pre,ent the ater !nalance.

    %herefore r/ eather 9o ith poll!te ater of 

    @orris Canal has to e sent thro!gh some lter

    meia;horiontal ee Be= to impro,e the ater

    >!alit/.;cl=

    !c%" /ption 2

    ;cn= Constr!ction of a eir at the location D to

    maintain the minim!m ater le,el of Beira )ake at

    1.& mMS) an constr!ction of o!tlet canal !p to

    the sea o!t fall canal onstream to the Maccal!m

    )ock Gate along the W ' Bastian Maatha an the

    +lcott Maatha. ;'(#= n this option also poll!te

    23

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    ater in r/ eather 9o of @orris Canal has to e

    sent thro!gh some lter meia ;horiontal ree

    e= to impro,e the ater >!alit/. Constr!ct the

    Crossing str!ct!re at C to pre,ent the ater from

    Beira )ake.

    !co"!cp"/ption 3

    ;c>= Constr!ction of i,ersion canal from location

     A of @orris Canal !pto the location B to an

    constr!ction of eir at location D to maintain the

    ater le,el at 1.& m MS) an constr!ction of 

    o!tlet canal !pto the sea o!tfall canal onstream

    to the Maccal!m )ock Gate along the W ( ' Bastian

    Maatha an the +lcott Maatha ;'(#= isconnect

    the interconnection of ater o/ at location C.

    ;cr=

    ;cs= +ption 2 is consiere as more feasile option

    since it has the least ork scope an hence it

    inc!rre the least cost. %herefore7 this report

    contains the technical asis for +ption 2 onl/.

    ;ct=

    ;c!=

    25

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    ;c,=

    (c')Fig - ption 1;c

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    ;c/=

    ;c=

    ;a=#ig. " ( +ption 2

    ;=

    29

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    (dc)

    ;=

    ;e=#ig.$ ( +ption 3

    31

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    ;f= %he proposal can e s!mmarie as follos ;g=

    ;h=

    &anal Stretch

    0t

    • Drain str!ct!re

    ;i= Section 4.- < 2.$5 I &5- m

    &5-m. efer #ig.1.2.1

    ;0= Section 23.$5 < 2.5 I "-- m 

    ;k=

    • Weir;1.&5 m MS) = I -1 @o.

    • Close crossing str!ct!re I -1 @o. 

    ;l=

    ;m=

    ;n=

    ;o=;p=

    33

    Proposed Closed

    crossing structure

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    ;>=

    ;r=

    ;s=

    ;t=

    35

    g* + - ,roposed improement

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    Technical Basis;!=

    !d"$roposed Weir 

    !d("

    ;!ire rop D

    • Determine tail ater conitions at esign

    ischarge

    • Choose a str!ct!re sie

    ;eh=

    ;ei=

    !e." For /gee (eir  

    !ek"

    ;el= E Design I C ) e *e 32 

    ;em= E Design I Design Discharge

    ;en= C I Coe?icient of Discharge

    ;eo= ) e I '?ecti,e length of Spill

    a/ crest

    ;ep= *e I %otal hea o,er the crest

    incl!ing the ,elocit/ hea

    37

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    Crest axisF1 = 0.5 Hd

    F2 = 0.2 Hd

    a = 0.175 Hd

     b = 0.282 Hd

    Dis curve in accordance it! e"

    #ertical

    C $%rigin or apex. o& crest'a

     b

    r1

    r2

    ;e>=

    ;er=

    ;es=

    (et) Fig . - E#ements of /appe-shaped crest pro0#e;e!=;e,=;e= Weir coe?icient I 2.21

    ;e

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    ;f0=

    ;fk=

    ;9=

    ;fm=

    ;fn=

    ;fo=(fp) Fig 1$ - Crest of the +gee spill a/etermine energ dissipaters and stilling

    basins

    ;f>=

    ;fr=

    !fs" $rotection against scour do(nstrea%

    of da%s

    !ft"

    ;f!= %he ,elocit/ of 9o onstream from eir isala/s high an it erosions the e an ank of 

    ri,er elo the eir. %here are man/ t/pes of 

    e,ices. %o issipate energ/ of 9o onstream in

    orer to make the 9o enter the earth canal at a

    safe ,elocit/

    ;f,=

    ;f= %he most fre>!entl/ !se energ/ issipater is

    a h/ra!lic 0!mp.

    ;f

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    ;g= H!mp e>!ation

    Y2

    Y1 =

    1

    2√ (1+8 F 12−1)

    ;ge=

    ;gf=

    ;gg=;gh=

    ;gi=

    ;g0=

    ;gk=

    ;gl=

    ;gm=

    ;gn=

    ;go=

    (gp) Fig 11 - ,attern of Hdraic &mp;g>=

    ;gr=

    ;gs= Where K  1 an K 2 are epth efore an

    after the 0!mp7 respecti,el/

    ;gt=

    ;g!= L  1 I 9o ,elocit/ efore the 0!mp

    ;g,= g I gra,it/ acceleration7 an

     F 1=

      V  1

    √ gy 1  

    !g(" Length of .u%p

    !g)"

    ;g/= man/ st!ies for length of 0!mp ha,e een

    con!cte. %he e>!ation gi,es the length of 0!mp

    %he length of 0!mp ma/ e ene as the istance

    from the point here the 0et ith a s!percritical

     ,elocit/ rises to the point here the streaming 9o

    meets the se>!ent epth of s!critical 9o.

    ;g=

    ;ha= length of h/ra!lic 0!mp on a horiontal 9oor

    ;h=

    ;hc= )  0  I 5 ;K 2 ( K 1= ............../

    Bakhetett7 Matke

    ;h=

    43

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    ;he= %he energ/ loss in a h/ra!lic 0!mp on

    horiontal 9oor ma/ e comp!te / the folloing

    e>!ation.

    ;hf=

    ;hg=   H  L=(Y2-Y1)

    4Y2Y1;hh=

    ;hi= When *) I *ea lost thro!gh the

    h/ra!lic 0!mp;h0= K  2 I Depth after the 0!mp7

    an

    ;hk= K  1 I epth efore the 0!mp

    ;hl=

    (hm)  Note – subcritical depth y  2 only

    depends on y 1 and the Froude number.

    ;hn=

    ;ho=

    ;hp=

    ;h>=

    ;hr=

    ;hs=!ht"

    ;h!=

    ;h,=

    ;h=

    (hx)

    (h)

    (h)

    (ia)

    45

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    (i")

    (ic)Fig 12 - Hdraic &mp interpreted " speci0c

    energ c&re(id)

    (ie) oss of energy !if" %heoretical epth after 0!mp F alternate

    depth!ig" Act!al epth after 0!mp F se,uent depth

    ;ih= #rom Calc!lation

    ;ii= > I E esign) e

    E I 2- m3s )e I 3- m;i0= K  1  I -.2 m;ik=  K 2 I -." m;il= #ro!e n!mer I 2.5

    ;im= H!mp length I 2 m

    ;in=;io=

    • Choose a s!itale stilling asin

    ;ip=

    ;i>= #1  I 2.5

    ;ir=

    ;is= %here for in this case a simple concrete apron

    of length 5;K 1(K 2= is generall/ s!?icient to

    pro,ie protection in the region of h/ra!lic

     0!mp7

    ;it=

    ;i!= D!e to issipation of energ/ of ater 9oing

    o,er eirs propose stilling asin to pre,ent

    possile erosion an sco!ring !e to high

     ,elocities. shon Fig.................... 

    ;i,=

    !i(" )ength of stilling asin I 5;  2 4  1" 5 267

    %

    !i)"

    !i"

    47

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    !i8"

    (a)

    (") Fig 13 - Simp#e horionta# apron for sti##ing "asin

    !.c"!.d" Bo) drain

    ;0e=

    ;0f= )oa Conitions

    ;0g=

    ;0h= i. 'arth press!re

    ;0i=

    ;00= Soil press!re calc!late as triang!larl/

    istri!te loa7 an ater press!re

    calc!late as triang!larl/ istri!te.;0k= %he folloing earth press!re coe?icient

    shall e !se in the esign calc!lation:

    ;0l=

    ;0m= ;a= Coe?icient of earth press!re at rest

    ;o=

    ;0n= ;Hak/s '>!ation=

    ;0o= o I 1(Sin N

    ;0p=

    ;0>= ;= Coe?icient of acti,e earth press!re ;  A =

    ;0r= ;Col!ms e>!ation=

    49

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    $(s'  

    ( + )Cos( +ω)¿

    cos¿sin(∅+δ )sin(∅−ω)

    ¿cos 2 Cos( + ) \{1+√ ¿

     K  A=Cos2(∅ - )

    ¿;0t=

    ;0!=

    ;0,= ;c= Coe?icient of acti,e passi,e press!re ; p=

    ;0= ;Col!ms e>!ation=

    $(x'

    ( + )Cos( +ω)¿

    cos¿sin(∅+δ )sin (∅−ω)

    ¿cos 2 Cos( + ) \{1-√ ¿

     K  P=Cos2(∅ - )

    ¿

    $()'

    ;0=

    ;ka= ;= Coe?icient of acti,e earth press!re!ring 'arth>!ake ;  A'=7is not taken is to

    acco!nt

    ;k=

    ;kc= Where7

    ;k=

    ;ke= N : nternal angle friction of soil

    ;kf= N : '?ecti,e angle of internal

    friction soil

    ;kg= O : Angle eteen all

    s!rface an ,ertical irection

    ;kh= : Slope of ackll

    ;ki= : Angle of all friction

    ;k0=

    ;kk=

    51

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    ;kl=

    ;km=

    ;kn=

    ;ko=

    ;kp= */ra!lic press!re

    ;k>=;kr= nternal h/ra!lic press!re also calc!late as

    triang!lar loaing internall/

    ;ks=

    ;kt= ii Dea loa

    ;k!=

    ;k,= %he eight of the materials an part of the

    str!ct!re that are str!ct!ral elements7 !t

    e

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    ;li= Compacte ll ;Soil= 18

    ;l0= Gra,elBo!lers 18

    ;lk= )ight eight aggregate concrete 15

    ( 1$

    ;ll= Cement mortar 21.5

    ;lm= Waterproof asphalt 22

    ;ln=

    ;lo= ;iii= )i,e loa

    ;lp=

    ;l>= )i,e loas are ene as loas !e

    to ,ehicle or peestrian tra?ic. li,e loas are

    f!rther classie in to primar/ li,e

    loas an seconar/ li,e loas as follos:(

    ;lr=

    ;ls= ;a= Primar/ li,e loas

    ;lt= Lertical li,e loas7 consiere as static

    loas7 !e to irectl/ to the mass of tra?ic.

    ;l!= *A loaing an *B loaing as per

    BS54-- fall !ner this categor/.

    ;l,= *A ( )oaing

    ;l= 6niforml/ istri!te loa per one

    notional lane

    ;l

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    ;me= *B ( )oaing

    ;mf= ;i= 6nit loa

    ;mg= %he g!re elo shos the plan an

    a!al to the 1-@ per a!are contact area ma/ e ass!me7

    !sing the same e?ecti,e press!re.

    ;mn= #oot a/ li,e

    57

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    ;mo= )Q 3-m I 5.- k@m2

    ;mp= )R 3-m I P < 5.- k@m2

    ;m>= here7 ) is the loae length ;in

    m=

    ;mr= P I 6D)3-

    ;ms= ;= Seconar/ li,e loa

    ;mt= )i,e loa !e to change in spee or

    irection of the ,ehicle tra?ic an loa

    !e to ,ehicle raking shall fall !ner this

    categor/.

    (mu) (!ource "! #$%% & 'art 2)

    (m)

    ;m= Breaking loa;m

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    ;ni= Wall eight Sla eight )ateral 'arth

    press!re */ro static on alls nternal

    */ra!lic Press!re on internal alls *B

    )oaing

    ;n0=

    ;nk= Combination %2

    ;nl= Wall eight Sla eight )ateral 'arth

    press!re */ro static on alls nternal

    */ra!lic Press!re on internal alls *A 

    )oaing

    ;nm=

    (nn) Combination %

    ;no= Wall eight Sla eight )ateral 'arth

    press!re */ro static on alls *B)oaing *A )oaing

    (np) Combination %$

    ;n>= Wall eight Sla eight )ateral 'arth

    press!re */ro static on alls nternal

    */ra!lic Press!re on alls

    ;nr=

    (ns) Combination %#

    ;nt= Wall eight Sla eight )ateral 'arthpress!re */ro static on alls

    ;n!=

    (n) Combination %*

    ;n= Wall eight Sla eight )ateral 'arth

    press!re */ro static on alls nternal

    */ra!lic Press!re on alls *B )oaing

    *A )oaing.

    ;n

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    non( prestresse steel reinforcement7 the mo!l!s

    of elasticit/7 's 7 ma/ e taken as 27---7--- or

    271--7--- kg S>.cm.

    ;o=

    ;oe= ;ii= %he folloing minim!m concrete co,er

    shall e pro,ie for reinforce concrete.;of=

    (og) !a"#e 2 - etai#s of minim&m concrete coer

    ;oh=

    !oi" &ondition

    !o." 9

    ni

    t

    !

    %

    %"

    !ol"

    S

    !o%"

    B

    ;on= 1. @ot e= 2. mportant str!ct!res an

    str!ct!res e

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    ;pf= ;,= Design of reinforcement.

    ;pg=

    ;ph= %he folloing esign proce!re as

    folloe accoring to BS &11- : part 1 :

    18&5

    ;pi=(pj) f /0/ say doubly reinforced

    (p)

    ;pl= %hen e,al!ate I U-.5V;-.25(-.8= an it

    sho!l not e greater than -.85

    ;pm= < I ;(=-.45

    ;pn= AsI ;(

    =f c!2-.&$f/;(=

    ;po= As I fc!2-.&$f/  As

    ;pp=

    ;p>= an  f d3x exceeds %.$4  the

    compression stress ill e less than -.&$f/

    sho!l e otaine from BS&11- part

    -1

    ;pr=

    ;ps= B!t if e !se singl/ reinforcemente pro,ie compression reinforcement also

    to o,ercome practical prolems.

    ;pt=

    ;p!= ;,i= Crack ith of einforce

    concrete sections

    ;p,=

    ;p= #or the calc!lation of crack iths of  

    sections the folloing proce!re mentione in

    the J einforce Concrete Designers *anBook 7 Charles '. e/nols an Hames C.

    Steeman7 1-th eition as folloe.

    ;p

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    • Determine moment Ms at section

    concerne from elastic anal/sis ith

    ser,ice loa

    • Determine instantaneo!s ,al!e elastic

    mo!lar of concrete 'c

    • ',al!ate < an !sing the folloing

    ea=

    ;>= c= IU3;e= fs I Ms;As < =

    ;>f=

    • Calc!late strain ]1 

    ;>g= ]1 I fs2 < 1-5U;a(i= ]m  I ]1  ( ; t  ;a(

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    ;>s= I )e,er arm

    ;>t= 7 t I reath of the section

    ;>!= Ms I Ma,= Wr I With of the crack.

    ;>= acr   I Minim!m istance to the

    steel s!rface

    ;>/= Crack ith is limite elo -.2mm

    ;>=

    ;ra= ;,i= Partial safet/ factor f1 an f3

    !se in the limit state anal/sis are as follos:;r=

    ;rc= ^f  3 is 1.1

    ;r= ^f  1 is shon elo

    ;re=

    ;rf=

    ;rg=

    ;rh=

    ;ri=

    ;r0=

    ;rk=

    ;rl=

    (rm) !a"#e 3 - Safet factors for SLS 5 6LS

    69

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    71

    $a' Structure

    $b' S

    L

    S

    $c' 9

    L

    S

    $d' Superstruct

    ure;e= ;f=

    $g' Dea )oa

    ;concrete=

    $!' 1.

    -

    -

    $i' 1.

    2

    -

    $(' *A t/pe

    $*' 1

    .

    2

    -

    $l' 1

    .

    5

    -

    $+' )i,e )oas $n' 1

    .

    1

    -

    $o' 1

    .

    3

    -

    $p' *B t/pe

    $s'  Breaking

    load;t= ;!=

    $v' *A t/pe

    $' 1

    .

    -

    -

    $x' 1

    .

    2

    5

    $)' *B t/pe

    $,' 1

    .

    -

    -

    $aa'1

    .

    1

    -

    $ab'#oot path

    )oa

    $ac'1

    .

    -

    -

    $ad'1

    .

    5

    -$ae'Substructur 

    e

    ;af= ;ag=

    $a!'Self eight

    $ai' 1

    .-

    -

    $a(' 1

    .2

    -

    $a*''arth

    press!re

    $al' 1

    .

    -

    -

    $a+'

    1.5-

    $an')i,e )oas

    S!rcharge

    $ao'1

    .

    -

    -

    $ap'1

    .

    5

    -

    $a"'#ill eight

    $ar' 1

    .

    -

    -

    $as'1

    .

    5

    -

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    ;ro=

    ;rp=

    ;r>=

    ;rr=

    ;rs=

    ;rt=;r!=

    ;r,=

    ;r=

    ;r

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    ;s>=

    !sr" Soil

    ;ss= %he emankment material an

    ack lling soil e

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    ;tk=

    ;tl=

    (tm) Fig* 1 - Front E#eation of 7eir

    ;tn=

    ;to=

    ;tp=

    ;t>=

    ;tr=

    ;ts=

    (tt) Fig* 18 - Spi##'a #ongit&dina# section

    77

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    ;t!=

    ;t,=

    ;t=

    ;t

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    : &ost ;sti%ate!t8"

    ;!a= ;!= ;!c= ;!=!ue"< !uf" D;S&+=$27-3"7---

    .--

    ;,r= 

    !s" G+*=D T/T*L ;,t=

    !u"-2C33-C777677

    !"(')


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