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    WATER TANKS (Part 2)

    MAINAKMALLIK 

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    2

    • DESIGN OF CIRCULAR WATER TANK

    RESTING ON GROUND WITH RIGID

    BASE AND FLEXIBLE BASE

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     Joints

    •  Joints are the connection betweentwo parts of the structuralcomponent.

    • Commonly Three type of Joints arecommonly in water tanks :

    • A Mo!ement Joints

    • " Construction Joints

    • C #emporary $pen Joints

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    Mo!ement Joints

    • A mo!ement %oint is inten&e& toaccommo&ate relati!e mo!ementbetween a&%oinin' parts of a structure (

    special pro!ision is ma&e to maintainthe water ti'htness of the %oint.

    •  #hree types of Mo!ement Joints:

    A Contraction Joint• " )*pansion Joint

    • C +li&in' Joint

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     #wo #ypes of Contraction Joint:

    , Complete Contraction Joint

    2. -artial Contraction Joint

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    )*pansion Joint

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    C$N+#/C#I$N J$IN#+

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    Salient features :,. #he position shoul& be &e0ne& by &esi'ner.2. 1ull structural continuity is assume& in&esi'n an& shoul& be realie& in practice.3. #he concrete at %oints shoul& be bon&e&properly.4. #he surface of the earlier pour shoul& berou'hene& to increase bon& stren'th an& topro!i&e a''re'ate interlock.

    5. #he %oint surface shoul& be cleane& an&&ampene& si* hour prior to new concretin'.

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    Circular Tans Restin! "n#roun$

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    ,6

    • When tan is %lle$ &ith &ater thehy$rostatic &ater pressure &ill try toincrease the $ia'eter at any section

    • This &ill $epen$ on type of oint atthe unction of &all an$ *ea'

    • When the oints at *ase are +e,i*le-

    hy$rostatic pressure in$uces'a,i'u' increase in $ia'eter at*ase an$ no increase in $ia'eter attop

    • When the oint at *ase is ri!i$- the*ase $oes not 'o.e 

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    7

    • 7e8ecte& shape of #ank with 1le*ible Joint

    9

    A

    "

    C

    7",

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    2,

    /esi!n of Circular Tans restin!on !roun$ &ith ri!i$ *ase 

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    22

    • /ue to %,ity at *ase of &all- the

    upper part of the &all &ill ha.ehoop tension an$ lo&er part*en$ lie cantile.er 

    • 0or shallo& tans &ith lar!e$ia'eter- hoop stresses are .erys'all an$ the &all act 'ore liecantile.er 

    • 0or $eep tans of s'all $ia'eter thecantile.er action $ue to %,ity at the*ase is s'all an$ the hoop action is

    pre$o'inant

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    23

    • The e,act analysis of the tan to

    $eter'ine the portion of &all in&hich hoop tension ispre$o'inant an$ the other

    portion in &hich cantile.eraction is pre$o'inant- is$i1cult 

    • Si'pli%e$ 'etho$s of analysis

    are Reissner3s 'etho$

    2 Carpenter3s si'pli%e$ 'etho$

    4 Appro,i'ate 'etho$

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    2

    • 6S co$e 'etho$

    •  #ables 6;,< an& ,, of I+ 33=< part I>

    'i!es coe?cients for computin'hoop tension; moment an& shear for!arious !alues of 92@7t

    9oop tension; moment an& shear iscompute& as

     # coe?cient B γ w97@2

    M coe?cient Bγ w9

    3

    > coe?cient Bγ w9

    2

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    2=

    •  #hickness of wall reuire& is compute& from "Mconsi&eration

    where;

    D E σcbc %k

     %,FBk@3

    b ,

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    2G

    • 6S co$e 'etho$

    • $!er all thickness is then compute& as

    t & H co!er. • t 7

    • t3

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    26

    • 6S co$e 'etho$

    • /istri*ution steel an$ .ertical

    steel for outer face of &all isco'pute$ fro' 'ini'u' steelconsi$eration 

    • Tensile stress co'pute$ fro'the follo&in! e7uation shoul$*e less than the per'issi*le

    stress for safe $esi!n stc

    A)1m(t1000

    T

    −+

    the per'issi*le stress is as per ta*le of6S 4489 (Part 2) : 299;

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    3<

    • 6S co$e 'etho$

    • Tensile stress $ue to *en$in! co'pute$fro' the follo&in! e7uation shoul$ *e lessthan the per'issi*le stress for safe $esi!n 

    • o$ulus consi$erin! the e?ectof reinforce'ent

    • @ase sla* thicness !enerally .aries fro'9'' to 29 '' an$ 'ini'u' steel is$istri*ute$ to top an$ *otto' of sla*

    where

     z

     M 

    =σ cbt 

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    3,

    /esi!n Pro*le' No on CircularTans restin! on !roun$ &ith

    Ri!i$ *ase 

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    32

    • A cylin$rical tan of capacity8-99-999 liters is restin! on !oo$unyiel$in! !roun$ The $epth of tan

    is li'ite$ to ' A free *oar$ of 499'' 'ay *e pro.i$e$ The &all an$ the*ase sla* are cast inte!rally /esi!nthe tan usin! >2 concrete an$0e5 !ra$e steel  

    • /ra& the follo&in!

    • Plan at *ase• Cross section throu!h centre of tan

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    33

    • Step : /i'ension of tan 

    B= 94 = 58 an$ .olu'e =899 '4

    • A=899D58 = 5;5 '2

    /=√

    (5 , 5;5Dπ

    ) = 488≈

    5 '

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    34

    • Step 2: Analysis for hoop tensionan$ *en$in! 'o'ent 

    • "ne 'eter &i$th of the &all isconsi$ere$ an$ the thicness of the&all is esti'ate$ as t=49BF9 =; ''

    •   The thicness of &all is assu'e$

    as 299 ''•  

    •  

    ( )  9.7

    2.014

    7.4

    .

    22

    =

    ×

    =t  D

     H  

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    3G

    • Step 2: Analysis for hoop tension an$ *en$in! 'o'ent(Cont$)

    • Referrin! to ta*le ; of 6S4489 (part 6)-the 'a,i'u' coe1cient for hoop at 9GBtension = 98

    • T'a,=98 , 9 , 58 , 8 =;8 N•

    • Referrin! to ta*le 9 of 6S4489 (part 6)-the 'a,i'u' coe1cient for*en$in! 'o'ent = 995G (pro$uces tension on&ater si$e) at 9B

    • >'a,= 995G , 9 , 584= N'•

    • Referrin! to ta*le of 6S4489 (part 6)-the 'a,i'u' coe1cient for S0=985

    • S0=985H9H582=455N

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    36

    • Step 4: /esi!n of section:• 0or >2 concrete σc*c=- 0or

    0e5 steelσ

    st=9 >Pa an$'=9; for >2 concrete an$0e5 steel

    • The $esi!n constants are:

    •  =(D4)=9G•

    I= σ

    c*c = 4• E?ecti.e $epth is calculate$ as 

    mm= x

     x=

    Qb

     M =d    99.83

    10001.52

    1015.15   6

    418.0

    1305.898.10

    8.510.98=

    ×=

    σ +mσ 

    mσ =k 

     st cbc

    cbc

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    4<

    • Step 4: /esi!n of section: (Cont$)• et o.er all thicness *e 299

    '' &ith e?ecti.e co.er 44 ''

    $pro.i$e$=G8 ''

    • Spacin! of 2 '' $ia'eter *ar=

    • (>a, spacin! 4$=9'')

    • Pro.i$e L2M2 cDc as .erticalreinforce'ent on &ater face

    2

     st 

     st    mm= x x0

     x= jd σ 

     M = A   802

    167.87130

    1015.15  6

    cmmc= x

    /140802

    1000113

    2904mm

    125

    1000113=

     x

    • Step 4: /esi!n of section: (Cont$ )

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    4,

    Step 4: /esi!n of section: (Cont$)• Boop steel:

    • Spacin! of 2 '' $ia'eter *ar =

    • Pro.i$e L2M8 cDc as hoop reinforce'ent

    on &ater face

    • Actual area of steel pro.i$e$ 

    2

     st 

     st    mm= x

    =σ 

    T = A   1456

    130

    10189.275  3

    1

    ccmm= x

    /77.61456

    1000113⋅

    2

     st    mm= x

    = A   1506

    75

    1000113

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    i i* i l

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    43

    • Step : /istri*ution Steel:• >ini'u' area of steel is 925O of concrete

    area• Ast=(925D99) ,999 , 299 = 59 ''2

    • Spacin! of '' $ia'eter *ar =

    • Pro.i$e L M 99 cDc as .ertical $istri*utionon the outer face

    c/mmc.7.104480

    1000x24.50=

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    44

    • Step : @ase sla*:• The thicness of *ase sla* shall *e

    9 '' The *ase sla* rests on %r' !roun$-hence only 'ini'u' reinforce'ent ispro.i$e$

    • Ast=(925D99) ,999 , 9 = 4G9''2

    • Reinforce'ent for each face = 9''2

    • Spacin! of '' $ia'eter *ar =

    • Pro.i$e L M 29 cDc as .ertical an$horiontal $istri*ution on the outer face

    c/mmc.279

    180

    1000x24.50=

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    45

    ,2φ #=5c@c

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    4

    /esi!n Pro*le' No2 on CircularTans restin! on !roun$ &ith

    +e,i*le *ase 

    / i i l t t t

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    4=

    • /esi!n a circular &ater tan to

    hol$ -9-999 liters of &ater

    Assu'e +e,i*le oints *et&eenthe &all an$ *ase sla* A$opt >2concrete an$ 0e 5 steel

    •   Setch $etails ofreinforce'ents

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    4G

    • Step : /i'ension of tan 

    • olu'e of tan =9 '4

    • Assu'e B= 5

    • A=9D5 = 2222 '2

    • /= √(5 , 2222Dπ) = 258 ≈2'

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    46

    • Step 2: Analysis for hoop tension• "ne 'eter &i$th of the &all is

    consi$ere$ an$ the thicness of the&all is esti'ate$ as

    • t=49BF9 = ''• The thicness of &all is assu'e$

    as 299 ''•  

    81.82.05.12

    5.4

    Dt

      22

    ≈=×

    =

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    52

    • Step 2: Analysis for hoop tension

    • Referrin! to ta*le 2 of 6S4489 (part6)- the 'a,i'u' coe1cient for hooptension = 9G;8

    • T'a,=9G;8 , 9 , 5 , G2 =;G94 N

    • Referrin! to ta*le of 6S4489 (part 6)-the 'a,i'u' coe1cient for shear at *ase=99;G

    Shear=9;GQ9Q52=;55 N

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    53

    • Step 4: /esi!n of section:• 1or M25 concrete•   σcbcG.5; 1or 1e4,5 steel σst,3< M-a• m,

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    54

    • Step 5: Chec for tensile stress:

    •   Per'issi*le stress = 4 ND''2 σct Safe

    •   Chec for Shear Stress:

    2

     st 

    ct    mm N =

     )x( + x

     x=

     )A(m+t 

    T =σ    /0.91

    1608110.982001000

    10196.03

    11000

    3

    −−

    2ct    mm N =

     x

     x=bd 

    V =   /0.116

    1671000

    1019.44  3

    τ  

    St /i t i* ti St l

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    55

    • Step : /istri*ution Steel:• >ini'u' area of steel is 925O of concrete

    area•

    Ast=(925D99) ,999 , 299 = 59 ''2

    • Spacin! of '' $ia'eter *ar =

    • Pro.i$e L M 99 cDc as .ertical an$horiontal $istri*ution on the outer face

    • Ast-pro.$=

    c/mmc.7.104480

    1000x24.50=

    502s!.mm100

    100050.24=

     x

    2

    .

    .,

    /246.0

    0.3%1000x167

    100502

    mm N 

    = x p

     perm

     prod t 

    =

    =

    τ  

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    5

    • Step : @ase sla*:• The thicness of *ase sla* shall *e

    9 '' The *ase sla* rests on %r' !roun$-hence only 'ini'u' reinforce'ent ispro.i$e$

    • Ast=(925D99) ,999 , 9 = 4G9''2

    •Reinforce'ent for each face = 9''2

    • Spacin! of '' $ia'eter *ar =

    • Pro.i$e L M 29 cDc as .ertical an$horiontal $istri*ution on the outer face

    c/mmc.279180

    1000x24.50 =

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    5=

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    5G

    A TP6CA /RAW6N# 

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