Circular Water Tank With Domcal Top and Base

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    Name of work:-

    1 Tank capacity 400000 ltr Depth of water 4.00 m

    2 Live load 1400 N/mm2

    wt of water 9800 N/m3

    3 Free board 0.20 m 200 mm

    4 Conrete M 20 25000 N/m3

    scbc 7 N/mm2

    m 135 Steel fy 415 115 N/mm

    2

    6 Nominal Cover 25 mm 35 mm

    7 Reinforcement

    Top Dome (main / distri. ) 8 mm F 160 mm c/c both way

    Top Ring Beam Main 20 mm F 4 Nos.

    two ldge srirrups 8 mm F 300 mm c/c

    Vertivcal (Water side ) 12 mm F 110 mm c/c

    Ring bars (both direction) 12 110 mm c/c

    Distribution steel 8 mm F 210 mm c/c

    Bottom Dom slab (both di 8 mm F 90 mm c/c

    Bottom Ring Beam 30 mm F 8 Nos8 mm f

    160 mm c/c

    350 2000

    230 20 mm f Ring 4 Nos

    12 mm f Bars 220 mm c/c

    4000

    8 mm f 210 mm c/c

    12 mm f Bars 110 mm c/c12 mm f

    110 mm c/c

    8 mm f Bars

    90 mm c/c Both side

    8 Nos. Bars 30 mm f

    8 mm f strirup 200 mm c/c

    [email protected] 550

    850

    DESIGN OF CIRCULAR WATER TANK( Domical top and base)

    11600

    Effective Cover

    Tensile stress

    unit weight

    pkn

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    Tank capacity ltr Depth of water = m

    Live load N/mm2

    = N/mm3

    Free board 0.20 m = mm

    Conrete M- 20 = #### N/mm3

    scbc 7 N/mm2 = 13

    Steel fy 415N/mm

    2

    =115 N/mm

    2

    Nominal cover 25 mm = 35 mm

    1 Design Constants:-For HYSD Bars = 20

    sst = 115 N/mm2

    = #### N/mm3

    scbc = 7 N/mm2

    m = 13k = 0.442 J = 0.853 R = 1.318

    2 Dimention of tank:- = 4.00 - 0.20 = 3.80 m

    x 1000

    x 1000

    400 x 4

    3.143 x 3.80

    = m

    3 Design o f roof do me:- Membrane analysis:

    We shall design the top dome and ring beam on membrane analysis, analysis

    considring these to be independednt of tankwall which is assumed to be freee at top, Let the rise of the

    dome be = 2.00 m and its thickness = 100 m R = 11.60 / 2 = 5.80 m

    33.6 + 4

    Self load of dome = 0.1 x 1 x 1 x #### = N/m2

    Live load = N/m2

    = N/m2

    5.8 7.419.41 9.41

    wr cos2 f + cos f -1 wr 1- cos f

    t 1+cos f t sin 2fMaximum hoop stress oqurs at f = 03900 x 9.41

    Maximum meridian stress will be at F = f = 38 degree3900 x 9.41 1- 0.787

    The stress are with in safe limit. However provide minimum reinforcement @ 0.3 % of area in each direction.

    0.3

    100

    3.14xdia

    2

    3.14 x 8 x 84 x100 4 x

    Spacing of hoop Bars = 1000 x 50 / 300 = 167 say = 160 mm

    Hence Provided 8 mm F bar, @ 160 mm c/c in both direction.

    3 Design of r ing beam :- The thickness of dome = 120 mm assumed

    Meridional thrust per metre length of dome at its base.= x 1 x 0.12 = N/m

    Horizontal component T per metre length .= 24720 cos 38 = 24720 x 0.79 = N/m

    11.60

    2

    [email protected]

    mm2100

    206002 24720

    =

    = 982 mm2/

    \ As = 300

    using 8 mm bars A = =

    \ hoop tension = x19466 = 112903

    9.41

    degree

    x 1000 x 100 =

    N/m2and its magnitude =

    0.1

    N/mm21+1-1

    1+1= 183495

    0.379

    =

    '= 38

    N/mm2= 0.206

    Safe

    Safe

    0.1835

    0.79

    =Maridian stress

    Total load

    m2= (2r-2)2 =5.80

    =

    2500

    cos f =and =0.616sin f =

    =and its magnitude

    Hoop stress =

    =

    1000

    the radius r is given by

    Provide a diameter of 11.60

    4= R

    2= (2r - rise) rise =

    11.57

    If D is the inside diameter of tank, we have =

    \from which D

    Effective depth of tank

    x D2

    4

    say

    3.80x

    m

    400000

    1400

    3900

    m

    =

    = 11.60

    DESIGN OF CIRCULAR WATER TANK (Domical top and base)

    Tensile stess

    4.00

    9800

    200

    wt. of concrete

    400000

    1400

    0.1

    =

    steel required =

    mm2

    N/m2 =

    206002

    19466

    115

    50

    for

    112903

    wt of water

    m

    Effective cover

    Cocrete M -

    wt. of concrete

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    3.14xdia2

    3.14 x 20 x 20

    4 x100 4 x

    No.of hoop Bars = 982 / 314 = 4 No. say 4.0 No.

    Hence Provided 4 No. 20 mm F Ring bar, for symetry.Actual , Ast = 4 x 314 = mm

    2E uivelent area of com osite section of beam

    of area of cross section A is =A+(m-1)Ash= A +( 13 - 1 )x 1256 = A+

    A + ####

    A + 15072 = 112903 / 1.2 or A = mm2

    Hence provide a Ring beam size 350 x 230 mm = mm2

    Provide 8 300 mm c/c to tie ring beam.

    These ring are lapped with dome reinforcement as shown in fig.

    4 Design of tank wal l : -

    wHD 9800 x 4.00 x 11.60

    2

    Area of ring = / 115 = mm2

    or 989 mm2

    both side

    3.14xdia2

    3.14 x 12 x 12

    4 x100 4 xSpacing of hoop Bars = 1000 x 113 / 989 = 114 say = 110 mm

    Hence Provided 12 mm F bar, @ 110 mm c/c in both direction.1000 x 113

    The spacing of ring may be increased towards the top, since pressure varies lineearly

    Using a tensile stress of 1.2N/mm2 for the the combined section ,

    + ( 13 - 1 )x 2055

    From which T = 169 mm

    3 x 4 + 5 = 17

    Hence provided = 170

    Distribution reinforcement170 - 100

    450 - 100

    0.28

    100

    = 238 mm2

    3.14xdia2

    3.14 x 8 x 8

    4 x100 4 x

    The spacing of 8 mm f bars = 1000 x 50 / 238 = 210 mm c/c8 mm F bar, @ 210 mm c/c

    5 Design of B ot tom dom e:-

    for bottom dome h2

    = 2.20 m and its thickness = 200 mm R = 11.60 / 2 = 5.80 m

    the radius r is given by = R2

    = (2r - rise) rise5.80 2= 2 x 2.20 - 2.20 x 2.20 )= 33.64 + 4.84 )/ 4.40 = 8.75 m

    Weight of water over the surface of dome is given by eq.

    D2H h2

    4 3

    11.60 x 4.00 2.20 x( 3.00 x 8.75 - 2.20 )

    4 3

    = N

    Total surface of Dome =2 p R2h2= 2.00 x 3.14 x 8.75 x 2.20 = 120.9 mSelf load of dome = 120.9 x 0.2 x 25000 = N/m

    2

    [email protected] Weight of water = N/m2

    N/m227360

    113

    mm thickness throughout the height, through the thickness at the top can be reuced.

    0.1 x

    314 mm2

    mm f strirrups @

    1256

    15072

    Allowing a stress of 1.2 N/mm2in composite section we have =

    112903= 1.2

    20 mm bars A = = =

    Maximum hoop tension at base= =2

    =

    From which

    using

    %

    3xD +5 =

    = 2 x

    mm

    100

    79014

    Minimum thickness cm = 170

    mm2using 12 mm bars A =

    Actual , Ast

    thickness T is given by=1000 T

    227360= 1.2

    Since dome roof has been design on membrane the analysis, the tank wall may be

    assumed to be free on top and bottom, and the tank wall will be subjected to purely hoop stress.

    227360 1977

    100

    = 2055 mm2110

    = =

    xP x w

    2946706

    x (3R2 - h2)

    -3.14 x 9800 x

    50 mm2

    Hence Provided

    using 8 mm bars A

    1000

    Provide half the reinfocement near each face, Asd

    Distribution reinforcement area =

    Asd = 0.3 - = 0.28

    actual area 80500

    mm2476=x170

    == =

    604500

    2946706

    x

    100

    Ww = -

    =

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    = N/m2

    / 120.9 = N/m2

    5.8 6.55

    8.75 8.75

    p2R2 29373 x 8.75

    2xt2 2 x 0.2

    p2.R2 1- cos f

    t2 sin2

    f29373 x 8.75 1 - 0.749 Safe

    0.663 x 0.663

    W2

    p D 3.14 x 11.60F2

    sinf2

    1000 x 200

    The stress are with in safe limit. However provide minimum reinforcement

    200 - 100

    450 - 100

    0.27

    100

    3.14xdia2

    3.14 x 8 x 8

    4 x100 4 x

    Spacing of hoop Bars = 1000 x 50 / 540 = 93 say = 90 mm

    Hence Provided 8 mm F bar, @ 90 mm c/c in both direction.

    Design of r ing beam :- The thickness of dome = 200 mm assumed

    Meridional thrust per metre length of dome at its base.= x 1 x 0.2 = N/m

    Horizontal component T per metre length .= 147072 cos 41 = 147072 x 0.75 = N/m

    Alternatively, p2 = #### x 1.129 =

    11.60

    23.14xdia

    23.14 x 30 x 30

    4 x100 4 x

    No.of hoop Bars = 5553 / 707 = 8 No. say 8 No.

    Hence Provided 8 No. 30 mm F Ring bar, for symetry.

    Actual , Ast = 8 x 707 = mm2

    Equivelent area of composite section of beam

    of area of cross section A is =A+(m-1)Ash= A +( 13 - 1 )x 5652 = A+

    A + ####

    A + 67824 = 638545 / 1.2 or A = mm2

    = 550 = 850

    Hence provide a Ring beam size 550 x 850 mm = mm2

    Provide 8 200 mm c/c to tie ring beam.

    Alternatively, the above f bar verticaly provided @ above spacing on the inner

    face of the tank wall may betaken around the rings.

    Reinforcement shown in drawing

    [email protected]

    0.75 or f '=

    3551206

    sin f = = 0.663

    3551206

    0.643 N/mm2

    Total load

    cos f =

    Load p2 per unit area =

    540

    41 degree

    =

    =

    642534 N/m2=

    %

    x 1000Distribution reinforcement area = x 200

    Maximum hoop stress at center = =

    and

    29373

    =

    0.27

    110103F2 Cot f2 =

    735362

    Safe

    Safe

    = 50 mm2100

    A = =

    638545 steel required = mm

    2638545

    \ hoop tension =110094

    x

    mm2

    100

    5652

    67824

    = = = 707

    467500

    Beam width

    Allowing a stress of 1.2 N/mm2in composite section we have =

    638545=

    From which

    using 8 mm bars

    using 30

    x =0.2

    Maximum Maridian stress =

    =

    mm f strirrups @actual area

    mm bars A

    =

    735362 N/mm2

    Alternatively shear force F2 = =3551206

    = 97496 N/m

    =

    147084

    Ast = 0.3 - 0.1 x =

    =Meriditional thrust T2 N/m0.663

    Meriditional stress =147084

    = 0.735 N/mm2

    97496=

    mm

    2

    147072

    110094

    Beam depth

    1.2

    464297

    5553/ 115 =

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    8 mm f160 mm c/c

    2000

    350 20 mm f Ring 4 Nos

    12 mm f Bars 220 mm c/c

    4000

    8 mm f 210 mm c/c

    12 mm f Bars 110 mm c/c

    30 mm f Bars 8 mm c/c12 mm f 0 mm f Ring

    110 mm c/c 0 mm c/c

    0 0

    [email protected]

    30 mm f Bars 8 mm c/c0 mm f Ring 0 mm c/c both side

    R= 5.80

    Ff f

    230

    DESIGN OF CIRCULAR WATER TANK (Domical top and base)

    2.00

    Fig 1

    11600

    850

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    M-15 M-20 M-25 M-30 M-35 M-40 Gra

    18.67 13.33 10.98 9.33 8.11 7.18 t 5 7 8.5 10 11.5 13

    93.33 93.33 93.33 93.33 93.33 93.33

    kc 0.4 0.4 0.4 0.4 0.4 0.4

    jc 0.867 0.867 0.867 0.867 0.867 0.867

    Rc 0.867 1.214 1.474 1.734 1.994 2.254

    Pc (%) 0.714 1 1.214 1.429 1.643 1.857

    kc 0.329 0.329 0.329 0.329 0.329 0.329

    jc 0.89 0.89 0.89 0.89 0.89 0.89

    Rc 0.732 1.025 1.244 1.464 1.684 1.903

    Pc (%) 0.433 0.606 0.736 0.866 0.997 1.127

    kc 0.289 0.289 0.289 0.289 0.289 0.289

    jc 0.904 0.904 0.904 0.904 0.904 0.904

    Rc 0.653 0.914 1.11 1.306 1.502 1.698

    Pc (%) 0.314 0.44 0.534 0.628 0.722 0.816

    kc 0.253 0.253 0.253 0.253 0.253 0.253

    jc 0.916 0.916 0.916 0.914 0.916 0.916

    Rc 0.579 0.811 0.985 1.159 1.332 1.506

    Pc (%) 0.23 0.322 0.391 0.46 0.53 0.599

    M-15 M-20 M-25 M-30 M-35 M-40

    0.18 0.18 0.19 0.2 0.2 0.20.22 0.22 0.23 0.23 0.23 0.23

    0.29 0.30 0.31 0.31 0.31 0.32

    0.34 0.35 0.36 0.37 0.37 0.38

    0.37 0.39 0.40 0.41 0.42 0.42

    0.40 0.42 0.44 0.45 0.45 0.46

    0.42 0.45 0.46 0.48 0.49 0.49

    0.44 0.47 0.49 0.50 0.52 0.52

    0.44 0.49 0.51 0.53 0.54 0.55

    0.44 0.51 0.53 0.55 0.56 0.57

    0.44 0.51 0.55 0.57 0.58 0.60

    0.44 0.51 0.56 0.58 0.60 0.62

    0.44 0.51 0.57 0.6 0.62 0.63

    M-15 M-20 M-25 M-30 M-35 M-40

    1.6 1.8 1.9 2.2 2.3 2.5

    VALUES OF DESIGN CONSTANTS

    Grade of concrete

    Modular Ratio

    scbc N/mm2

    m scbc(a) sst =

    140

    N/mm2

    (Fe 250)

    (b) sst =190

    N/mm2

    (c ) sst =230

    N/mm2(Fe 415)

    100As Permissible shear stress in concrete tv N/mm2

    (d) sst =275

    N/mm2

    (Fe 500)

    Permissible shear stress Table tv in concrete (IS : 456-2000)

    < 0.15

    bd

    0.25

    0.50

    0.75

    1.00

    1.25

    1.50

    2.50

    1.75

    2.00

    2.75

    3.00 and above

    Maximum shear stress tc.max in concrete (IS : 456-2000)

    Grade of concrete

    2.25

    tc.max

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    100As 100As % fy 200 250 328

    bd bd 0.0

    0.14 0.17 0.17 0.14 0.05

    0.15 0.18 0.18 0.15 0.10

    0.16 0.18 0.19 0.18 0.15

    0.17 0.18 0.2 0.21 0.20

    0.18 0.19 0.21 0.24 0.25 2

    0.19 0.19 0.22 0.27 0.30 1.85

    0.2 0.19 0.23 0.3 0.35 1.75

    0.21 0.2 0.24 0.32 0.4 1.65

    0.22 0.2 0.25 0.35 0.5 2.0 1.5

    0.23 0.2 0.26 0.38 0.6 1.75 1.4

    0.24 0.21 0.27 0.41 0.7 1.90 1.65 1.35

    0.25 0.21 0.28 0.44 0.8 1.80 1.55 1.30

    0.26 0.21 0.29 0.47 0.9 1.70 1.5 1.25

    0.27 0.22 0.30 0.5 1.0 1.60 1.45 1.2

    0.28 0.22 0.31 0.55 1.1 1.55 1.4 1.160.29 0.22 0.32 0.6 1.2 1.50 1.35 1.13

    0.3 0.23 0.33 0.65 1.3 1.50 1.3 1.1

    0.31 0.23 0.34 0.7 1.4 1.45 1.3 1.1

    0.32 0.24 0.35 0.75 1.5 1.40 1.25 1.07

    0.33 0.24 0.36 0.82 1.6 1.35 1.2 1.05

    0.34 0.24 0.37 0.88 1.7 1.35 1.2 1.03

    0.35 0.25 0.38 0.94 1.8 1.30 1.18 1.01

    0.36 0.25 0.39 1.00 1.9 1.30 1.16 1.0

    0.37 0.25 0.4 1.08 2.0 1.25 1.14 0.99

    0.38 0.26 0.41 1.16 2.1 1.25 1.13 0.97

    0.39 0.26 0.42 1.25 2.2 1.20 1.12 0.96

    0.4 0.26 0.43 1.33 2.3 1.18 1.1 0.950.41 0.27 0.44 1.41 2.4 1.17 1.1 0.94

    0.42 0.27 0.45 1.50 2.5 1.16 1.08 0.93

    0.43 0.27 0.46 1.63 2.6 1.15 1.06 0.92

    0.44 0.28 0.46 1.64 2.7 1.14 1.05 0.92

    0.45 0.28 0.47 1.75 2.8 1.13 1.04 0.91

    0.46 0.28 0.48 1.88 2.9 1.12 1.03 0.91

    0.47 0.29 0.49 2.00 3.0 1.11 1.02 0.90

    0.48 0.29 0.50 2.13 3.1 1.11 1.01 0.87

    0.49 0.29 0.51 2.25 3.2 1.11 1.00 0.86

    0.5 0.30

    0.51 0.30

    0.52 0.30

    0.53 0.30

    0.54 0.30

    0.55 0.31 Degree sin cos tan Degree

    0.56 0.31 1 0.017 1.000 0.017 1

    0.57 0.31 2 0.035 0.999 0.035 2

    0.58 0.31 3 0.052 0.999 0.052 3

    0.59 0.31 4 0.070 0.998 0.070 4

    0.6 0.32 5 0.087 0.996 0.087 5

    0.61 0.32 6 0.104 0.995 0.105 6

    Shear stress tc Reiforcement % modification factore Ta

    M-20 M-20

    Value of angle

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    0.62 0.32 7 0.122 0.993 0.123 7

    0.63 0.32 8 0.139 0.990 0.140 8

    0.64 0.32 9 0.156 0.988 0.158 9

    0.65 0.33 10 0.174 0.985 0.176 10

    0.66 0.33 11 0.191 0.981 0.194 11

    0.67 0.33 12 0.208 0.978 0.213 12

    0.68 0.33 13 0.225 0.974 0.231 130.69 0.33 14 0.242 0.970 0.249 14

    0.7 0.34 15 0.259 0.966 0.268 15

    0.71 0.34 16 0.276 0.961 0.287 16

    0.72 0.34 17 0.292 0.956 0.306 17

    0.73 0.34 18 0.309 0.951 0.325 18

    0.74 0.34 19 0.326 0.946 0.344 19

    0.75 0.35 20 0.342 0.940 0.364 20

    0.76 0.35 21 0.358 0.934 0.384 21

    0.77 0.35 22 0.375 0.927 0.404 22

    0.78 0.35 23 0.391 0.921 0.424 23

    0.79 0.35 24 0.407 0.924 0.440 24

    0.8 0.35 25 0.422 0.906 0.466 250.81 0.35 26 0.438 0.898 0.488 26

    0.82 0.36 27 0.454 0.891 0.510 27

    0.83 0.36 28 0.469 0.883 0.532 28

    0.84 0.36 29 0.485 0.875 0.554 29

    0.85 0.36 30 0.500 0.866 0.577 30

    0.86 0.36 31 0.515 0.857 0.601 31

    0.87 0.36 32 0.530 0.848 0.625 32

    0.88 0.37 33 0.545 0.839 0.649 33

    0.89 0.37 34 0.559 0.829 0.675 34

    0.9 0.37 35 0.573 0.819 0.700 35

    0.91 0.37 36 0.858 0.809 1.060 36

    0.92 0.37 37 0.602 0.799 0.754 37

    0.93 0.37 38 0.616 0.788 0.781 38

    0.94 0.38 39 0.629 0.777 0.810 39

    0.95 0.38 40 0.643 0.766 0.839 40

    0.96 0.38 41 0.656 0.755 0.869 41

    0.97 0.38 42 0.669 0.743 0.900 42

    0.98 0.38 43 0.682 0.731 0.933 43

    0.99 0.38 44 0.695 0.719 0.966 44

    1.00 0.39 45 0.707 0.707 1.000 45

    1.01 0.39 46 0.719 0.695 1.036 46

    1.02 0.39 47 0.731 0.682 1.072 47

    1.03 0.39 48 0.742 0.669 1.109 48

    1.04 0.39 49 0.755 0.656 1.150 49

    1.05 0.39 50 0.766 0.643 1.192 501.06 0.39 51 0.777 0.629 1.235 51

    1.07 0.39 52 0.788 0.616 1.280 52

    1.08 0.4 53 0.799 0.602 1.327 53

    1.09 0.4 54 0.809 0.588 1.376 54

    1.10 0.4 55 0.819 0.574 1.428 55

    1.11 0.4 56 0.829 0.559 1.483 56

    1.12 0.4 57 0.839 0.545 1.540 57

    1.13 0.4 58 0.848 0.530 1.600 58

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    1.14 0.4 59 0.857 0.515 1.664 59

    1.15 0.4 60 0.866 0.500 1.732 60

    1.16 0.41 61 0.875 0.485 1.804 61

    1.17 0.41 62 0.883 0.470 1.880 62

    1.18 0.41 63 0.891 0.454 1.963 63

    1.19 0.41 64 0.899 0.438 2.051 64

    1.20 0.41 65 0.906 0.423 2.145 651.21 0.41 66 0.914 0.407 2.246 66

    1.22 0.41 67 0.921 0.391 2.356 67

    1.23 0.41 68 0.927 0.375 2.475 68

    1.24 0.41 69 0.934 0.358 2.605 69

    1.25 0.42 70 0.940 0.342 2.747 70

    1.26 0.42 71 0.946 0.326 2.904 71

    1.27 0.42 72 0.951 0.309 3.078 72

    1.28 0.42 73 0.956 0.292 3.271 73

    1.29 0.42 74 0.961 0.276 3.488 74

    1.30 0.42 75 0.966 0.259 3.732 75

    1.31 0.42 76 0.970 0.242 4.011 76

    1.32 0.42 77 0.974 0.225 4.332 771.33 0.43 78 0.978 0.208 4.705 78

    1.34 0.43 79 0.982 0.191 5.145 79

    1.35 0.43 80 0.985 0.174 5.673 80

    1.36 0.43 81 0.988 0.156 6.315 81

    1.37 0.43 82 0.999 0.139 7.178 82

    1.38 0.43 83 0.993 0.122 8.145 83

    1.39 0.43 84 0.995 0.105 9.517 84

    1.40 0.43 85 0.996 0.087 11.431 85

    1.41 0.44 86 0.998 0.070 14.302 86

    1.42 0.44 87 0.999 0.052 19.083 87

    1.43 0.44 88 0.999 0.035 28.637 88

    1.44 0.44 89 0.9998 0.017 57.295 89

    1.45 0.44 90 1.000 0.000 1.000 90

    1.46 0.44

    1.47 0.44

    1.48 0.44

    1.49 0.44

    1.50 0.45

    1.51 0.45 Factors

    1.52 0.45 H+dA 10 20 30 40 10

    1.53 0.45 0.2 0.046 0.028 0.022 0.015 -

    1.54 0.45 0.3 0.032 0.019 0.014 0.01 0.55

    1.55 0.45 0.4 0.024 0.014 0.01 0.007 0.5

    1.56 0.45 0.5 0.02 0.02 0.009 0.006 0.45

    1.57 0.45 1.0 0.012 0.006 0.005 0.003 0.37

    1.58 0.45 2.0 0.006 0.003 0.002 0.002 0.3

    1.59 0.45 4.0 0.004 0.002 0.002 0.001 0.27

    1.60 0.45

    1.61 0.45

    1.62 0.45

    1.63 0.46

    1.64 0.46

    Value

    ofH/D

    Table Carpentors's coefficents

    F

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    1.65 0.46

    1.66 0.46

    1.67 0.46

    1.68 0.46

    1.69 0.46

    1.70 0.46

    1.71 0.461.72 0.46

    1.73 0.46

    1.74 0.46

    1.75 0.47

    1.76 0.47

    1.77 0.47

    1.78 0.47

    1.79 0.47

    1.80 0.47

    1.81 0.47

    1.82 0.47

    1.83 0.471.84 0.47

    1.85 0.47

    1.86 0.47

    1.87 0.47

    1.88 0.48

    1.89 0.48

    1.90 0.48

    1.91 0.48

    1.92 0.48

    1.93 0.48

    1.94 0.48

    1.95 0.48

    1.96 0.48

    1.97 0.48

    1.98 0.48

    1.99 0.48

    2.00 0.49

    2.01 0.49

    2.02 0.49

    2.03 0.49

    2.04 0.49

    2.05 0.49

    2.06 0.49

    2.07 0.49

    2.08 0.492.09 0.49

    2.10 0.49

    2.11 0.49

    2.12 0.49

    2.13 0.50

    2.14 0.50

    2.15 0.50

    2.16 0.50

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    2.17 0.50

    2.18 0.50

    2.19 0.50

    2.20 0.50

    2.21 0.50

    2.22 0.50

    2.23 0.502.24 0.50

    2.25 0.51

    2.26 0.51

    2.27 0.51

    2.28 0.51

    2.29 0.51

    2.30 0.51

    2.31 0.51

    2.32 0.51

    2.33 0.51

    2.34 0.51

    2.35 0.512.36 0.51

    2.37 0.51

    2.38 0.51

    2.39 0.51

    2.40 0.51

    2.41 0.51

    2.42 0.51

    2.43 0.51

    2.44 0.51

    2.45 0.51

    2.46 0.51

    2.47 0.51

    2.48 0.51

    2.49 0.51

    2.50 0.51

    2.51 0.51

    2.52 0.51

    2.53 0.51

    2.54 0.51

    2.55 0.51

    2.56 0.51

    2.57 0.51

    2.58 0.51

    2.59 0.51

    2.60 0.512.61 0.51

    2.62 0.51

    2.63 0.51

    2.64 0.51

    2.65 0.51

    2.66 0.51

    2.67 0.51

    2.68 0.51

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    2.69 0.51

    2.70 0.51

    2.71 0.51

    2.72 0.51

    2.73 0.51

    2.74 0.51

    2.75 0.512.76 0.51

    2.77 0.51

    2.78 0.51

    2.79 0.51

    2.80 0.51

    2.81 0.51

    2.82 0.51

    2.83 0.51

    2.84 0.51

    2.85 0.51

    2.86 0.51

    2.87 0.512.88 0.51

    2.89 0.51

    2.90 0.51

    2.91 0.51

    2.92 0.51

    2.93 0.51

    2.94 0.51

    2.95 0.51

    2.96 0.51

    2.97 0.51

    2.98 0.51

    2.99 0.51

    3.00 0.51

    3.01 0.51

    3.02 0.51

    3.03 0.51

    3.04 0.51

    3.05 0.51

    3.06 0.51

    3.07 0.51

    3.08 0.51

    3.09 0.51

    3.10 0.51

    3.11 0.51

    3.12 0.513.13 0.51

    3.14 0.51

    3.15 0.51

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    de of conc M-10 M-15 M-20 M-25 M-30 M-35 M-40 M-45

    bd (N / mm -- 0.6 0.8 0.9 1 1.1 1.2 1.3

    M 15

    M 20

    M 25

    M 30

    M 35

    M 40

    M 45

    M 50

    (N/mm2) Kg/m2 (N/mm2) Kg/m

    2

    M 10 3.0 300 2.5 250

    M 15 5.0 500 4.0 400

    M 20 7.0 700 5.0 500

    M 25 8.5 850 6.0 600

    M 30 10.0 1000 8.0 800

    M 35 11.5 1150 9.0 900

    M 40 13.0 1300 10.0 1000

    M 45 14.5 1450 11.0 1100

    M 50 16.0 1600 12.0 1200

    M-15 M-20 M-25 M-30 M-35 M-40

    1.6 1.8 1.9 2.2 2.3 2.5

    Grade of

    concrete

    Plain M.S. Bars H.Y.S.D. Bars

    Permissible Bond stress Table tbd in concrete (IS : 456-2000)

    tbd (N / mm2) kd = LdF tbd (N / mm2) kd = LdF

    Development Length in tension

    0.6 58 0.96 60

    0.8 44 1.28 45

    1 35 1.6 36

    0.9 39 1.44 40

    1.1 32 1.76 33

    1.2 29 1.92 30

    1.4 25 2.24 26

    1.3 27 2.08 28

    Permissible stress in concrete (IS : 456-2000)

    Bending acbc Direct (acc)Grade of

    concrete

    Permission stress in compression (N/mm2) Permissible stress in bond (Average) for

    plain bars in tention (N/mm2

    )

    -- --

    (N/mm2) in kg/m2

    0.6 60

    0.8 80

    0.9 90

    1.0 100

    130

    1.4 140

    1.1 110

    1.2 120

    1.3

    Maximum shear stress tc.max in concrete (IS : 456-2000)

    Grade of concrete

    tc.max

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    415 500

    2.00

    1.80

    1.65

    1.90 1.50

    1.80 1.40

    1.70 1.35

    1.60 1.30

    1.50 1.20

    1.40 1.16

    1.30 1.08

    1.20 1.00

    1.15 0.95

    1.05 0.90

    1.02 0.86

    1.20 0.84

    0.98 0.820.96 0.81

    0.94 0.80

    0.92 0.79

    0.91 0.78

    0.90 0.77

    0.89 0.76

    0.86 0.75

    0.86 0.74

    0.85 0.73

    0.84 0.72

    0.83 0.72

    0.83 0.720.82 0.71

    0.82 0.71

    0.81 0.71

    0.81 0.70

    0.81 0.70

    0.81 0.69

    0.81 0.69

    0.81 0.68

    0.81 0.68

    sin Degree

    0.017 1

    0.035 2

    0.052 3

    0.070 4

    0.087 5

    0.104 6

    le

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    0.122 7

    0.139 8

    0.156 9

    0.174 10

    0.191 11

    0.208 12

    0.225 130.242 14

    0.259 15

    0.276 16

    0.292 17

    0.309 18

    0.326 19

    0.342 20

    0.358 21

    0.375 22

    0.391 23

    0.407 24

    0.422 250.438 26

    0.454 27

    0.469 28

    0.485 29

    0.500 30

    0.515 31

    0.530 32

    0.545 33

    0.559 34

    0.573 35

    0.588 36

    0.602 37

    0.616 38

    0.629 39

    0.643 40

    0.656 41

    0.669 42

    0.682 43

    0.695 44

    0.707 45

    0.719 46

    0.731 47

    0.742 48

    0.755 49

    0.766 500.777 51

    0.788 52

    0.799 53

    0.809 54

    0.819 55

    0.829 56

    0.839 57

    0.848 58

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    0.857 59

    0.866 60

    0.875 61

    0.883 62

    0.891 63

    0.899 64

    0.906 650.914 66

    0.921 67

    0.927 68

    0.934 69

    0.940 70

    0.946 71

    0.951 72

    0.956 73

    0.961 74

    0.966 75

    0.970 76

    0.974 770.978 78

    0.982 79

    0.985 80

    0.988 81

    0.999 82

    0.993 83

    0.995 84

    0.996 85

    0.998 86

    0.999 87

    0.999 88

    0.9998 89

    1.000 90

    20 30 40 10 20 30 40

    0.5 0.45 0.4 0.32 0.46 0.53 0.5

    0.43 0.38 0.33 0.35 0.53 0.6 0.66

    0.39 0.35 0.3 0.44 0.58 0.65 0.7

    0.37 0.32 0.27 0.48 0.63 0.69 0.73

    0.28 0.24 0.21 0.62 0.73 0.74 0.83

    0.22 0.19 0.16 0.73 0.81 0.85 0.88

    0.2 0.17 0.14 0.8 0.85 0.87 0.9

    or cylenlidrical tank (Reyolndhand book)

    K1 K2

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    M-50

    1.4

    fs = 120 =fy200

    fs =145 =fy250

    fs =190 =fy328

    fs =240 =fy415

    fs = 290 =fy500

    0

    Modification factore

    Fig 7.1

    Fs= steel stress of service load =0.58fy

    for steeel

    fy 500 = Fs N/mm2

    fy 415 = Fs N/mm2

    fy 328 = Fs N/mm2

    fy 250 = Fs N/mm2

    fy 207 = Fs N/mm2

    1.6

    2.0

    1.2

    0.8

    0.4

    2.8 3.20.4 0.8 1.2 1.6 2.0 2.4

    190

    290

    240

    145

    120