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Jun 03, 2018

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    Design of Reservoir 175.20 m

    Max Water Lvl = 174.29 m Road 0.6

    Ground Lvl = 172.00 m 174.60 174.29 m

    Bed Lvl = 169.50 m

    Top Lvl = 175.20 m

    Road Lvl = 174.60 m

    Height of Maximun water Lvl = 4.79 m

    Height of the wall Top= 5.70 m

    Height Water Level designed = 2.50 m

    Height of Earth Lvl from GL = 2.50 m

    Width of Tank = 20.00 m

    capacity of the Tank = 7000000.00 L 169.50 m

    Length of the tank = 140.00 m

    provided Length = 141.20 m

    Provided capacity (excluding ramp )141.2x2.5x20x1000 7060000

    Volume of Ramp = =53.17x4.5x0.2 = 47.85 m3

    #### m

    Columns =(6x0.35x0.35x5 )+

    (18x0.35x0.35x2.5) = 9.1875Total 57.04 m

    3

    Hence Total capacity of Tank =141.2x2.5x20x1000-57040.5= 7002960 L

    The base slab will be designed for uplift pressure and the whole tank is

    to be tested against floatation. As the L/B Ratio is greater than 2 the long walls

    will be designed as cantilevers. The bottom one meter (H/4) of short walls will

    be designed as cantilever while the top portion designed as slab supported by long walls.

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    Design Constants.

    Concrete M20

    cbc= 7 N/mm2

    m= 13

    Since the face of the wall will be in contact with water for each condition ,

    st = 150 N/mm2

    permissibe compressive stress in steel under direct compression is

    sc = 175 N/mm2

    k= 0.38

    j= 0.87

    R = 1.157

    Angle of repose = 30o

    Saturated Unit wt of Soil = 21.00 kN/m3

    3 Design of Long walls

    a) Tank empty with pressure of saturated soil outside

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    Pa= Ka'H + wH

    here,

    Ka = 1-sin300/1+sin30

    0 0.33

    ' = 21.00 - 9.81 = 11.2 kN/m3

    Pa= 0.33x11.19x5.7+(9.81x5.7 76.97 kN/m

    The Height of earth Level = 2.5 say 3 m

    Max Bm at the base of wall = 76.97x5.7/2x5.7/3 = 416.79 kN-m

    req. d= 600.19

    Provide Total depth = 750 mm

    d= 715.00 mm

    Ast= 416.79*10^6/150/.874/715 = 4446.40

    using 25 bars spacing = 1000*491/4446.4 110.43

    provide 25 mm bars at 100c/c at outside face

    Pressure at the section of 3m from Bottom Lvl = 0.33x11.19x3+(9. 40.51 kN/m2

    Max Bm at the 3m from

    Bottom Lvl = 40.51x3/2x3/3 = 60.765 kN-md req = 229.17 mm

    provided D= 300.00 mm

    d= 265.00 mm

    Ast = 60.765*10^6/150/.874/265 1749.1 mm2

    provide 16 mm @ =201/1749*1000 = 114.9162426

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    provide 16 mm @100c/c from 3m from Bottom Lvl to top

    Distribution steel @0.3% for 100 mm thick and

    0.2% for 450

    .3-.1(350-

    Distribution steel =

    Astd = 0.2x750*1000/100 = 1500 mm2

    Area to be provided by each face = 750 mm2

    Spacing of 12 mm bars = 150.67 mm c/c

    Provide 12 mm @150 c/c on each face

    Direct Compresion in Long wall:

    The earth presuureacting on shorewalls will cause compn in long walls. Because

    top portion of short wall act as slab supported on long walls. At h= 1.5 m(>h/4=5.79/4)

    Pa= Kay'(H-h)+ Yw(H-h)= .33*11.19(5.79-1.5)+9.8(5.79-1.5) =

    57.88 kN/m2

    This Direction compression developed on long walls is given by

    Plc= Pa.B/2= 52.2x20/2= 522 kN

    This will be taken by the disribution steel and wall section.

    b ) Tank full with water, and no earth fill outside

    The Ground level is located at 2.5m above the bed Level.

    Hence remaining 5.71-2.5 m is assumed as without earth but with water pressure

    P = Yw.H = 9.81x3.21 31.49 kN/m2

    M= p.H/2.H/3 = 31.49x3.21/2x3.21/3= 54.1 kN-m

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    Ast = 54.08 x10 6/150/.874/715 576.9364 mm2

    Using 16mm bars spacing = 1000x201/1309.53 153.4902 mm2

    provide 16mm bars @150c/c Inner face

    However extend these bars into base.

    Direct Tension in Long walls

    as the wall is very long it is difficult to find Direcvt Tension. However

    Since the top portion of short walls act as slab supported on long walls , the water pressure

    acting on short walls will cause tension in long walls

    PL= P. B/2 where p=9.81x4.2 = 41.2 kN/m at I.5 M above bas

    PL= 41.202x20*.5 412 kN

    As reqd = 2746.67 mm2

    Design of Short walls

    a)Tank Empty, with pressure of saturated soil from outside

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    1) Top portion: The bottom portion 1.5m (>H/4) acts as cantilever, while the remaining 4.2m acts as slab sup

    on Long walls

    At h= 1.50 m (>H/4)

    Pa= Kay'(H-h)+ Yw(H-h)= =1/3x 11.19x4.2+9.81x4.2= 56.868 kN/m2

    Mf(at Supports ) = Pa L2/12 = 56.868x4^2/12 75.824 kN-m

    M (at Center) =PAL2/8-Mf= 37.912 kN-m

    =PAL2/24

    d= 350-(25+16+8)= 301 mm

    At supports, Ast = 1921.49 mm2

    Using 16 mm bars s= 1000x201/1921 = 104.6063

    provide 16mm @100mm c/c at the outer face

    at Mid span = 0.5x1921 960.5 mm2

    Min Ast = 805 mm2

    Hence provide 16 mm @200 c/c

    ii)Bottom Portion:

    The bottom 1 m wil bend as cantilever.Intensity of earth pressure at bottom = 76.97 kN/m2

    M= (76.97 x1.425x.5)x1/3 18.33 kN-m with Tension outside face

    Ast = 77.18x1000/150/.874/305 = 821.13 mm2

    Min. steel = 805 mm2

    spacing of 16mm bars @ 245 mm

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    Direct Tension in short wall, due to water pressure on the end one meter width of long walls is

    PB = w(H-h)x1 = 31.392 kN

    effective depth d for horizontal steel = 715 mm

    Distance x = d-T/2 = =715-375= 340 mm

    Hence Net BM = M-Pb.x =

    Astx1 = 65.4x10^6-31392x340/150/.874/715

    583.84 mm2

    Astt2 = Pb/sh = 379.12 mm2

    Total Ast1+Ast2 = =715+379 = 1094.12 mm2

    using 12 mm bars, s= 103.37 c/c

    provide 12mm @100c/c inner face

    At the outside face (middle of short walls)

    Ast1 = Mc-PB.x/st.j.d =(32.7x10^6 - 31392x340)/150x0.874x715

    234.99 mm2

    Ast2 = 379.12 mm2

    Total = 614.11 mm2

    Min. Ast = 805.00 mm2 As found earlier

    using 12mm, spacing 140.37 mm2

    provide 12 mm @ 125c/c

    4 Design of Long wall with surcharge of Traffic Load (20kN/m3)

    a) Tank empty with pressure of saturated soil outside

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    The Extra height due to surcharge = =w/Y = 0.95

    Pa= Ka'H + wH =

    here,

    Ka = 1-sin300/1+sin300 0.33

    ' = 21.00 kN/m3 9.81 = 11.2 kN/m3

    Pa= 0.33x11.19x5.7+(9.81x (5. 86.28 kN/m2

    The Height of earth Level = 2.50 say 3 m

    Max BM at the base of wall = 86.28x5.7/2x5.7/3 = 467.21 kN-m

    d= 635.46

    Provide Total depth = 750 mm

    d= 715.00 mm

    Ast= 467.21*10^6/150/.874/715 = 4984.29

    using 25 bars spacing = 1000*491/4984.29 100 mm

    provide 25mm bars at 100c/c at outside face

    Distribution steel @0.3% for 100 mm thick and

    0.00 for 450

    Dostribution steel = .3-.1(350-100)/(450-100)= 0.23

    Astd = 0.23x350*1000/100 = 805 mm2

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    Area to be provided by each face = 403 mm2

    Spacing of 10 mm bars = 194.79 mm c/c

    Provide 20 mm @175c/c on each face

    5 Deign of Bottom slab

    Assume thickness of R 1000.00 mm

    The uplift pressure on bottom slab is given by

    Pu = wH1 =

    =9.81(2.5+.5) = 29.43 kN/m2

    Check for floatation:

    The whole tank must be checked against floatation when the tank is empty.

    Total upward floatation force = Pu = =PuxBxL =

    29.43x 20x142 = 83581.2 kN

    The downward force consists of weight of the tank.

    Weight of the walls = =(.3+.75)*(142+142+20+2 1969.758 kN

    Wt of the base slab = =1x20x142x25 = 71000 kN

    Total weight of the tank = 72969.758 kN

    The difference = 10611.442 kN

    Hence the weight of the tank is less than floatation force.

    Increasing the base slab projections 1 m alround we get =

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    = ((.75*142)+(.75*20))*1*25 = 3037.5 kN

    Increasing base depth from 1m to 1.2m = 85200

    Weight of the walls = =(.3+.75)*(142+142+20+2 1969.758 kN

    Wt of the base slab = =1x20x142x25 = 85200 kN

    Total weight of the tank = 90207.258 kN

    The difference = 6626.058 kN

    Hence the weight of the tank is more than the floatation force. at I.5 M above bas

    Hence the tank is safe in buoyancy

    The Total weight of the tank = 90207.258 kN

    Wt of the water = =4.79*20*142*9.81 = 133451.316

    Total weight is = 223658.574

    The area of the tank = 20x 142 = 2840 m2

    The net upward pressure = 78.75 kN/m2

    SBC of the soil = 95 kN/m2

    Hence base slab is safe in bearing

    Base slab is designed as Oneway slab

    Consider One meter length of the slab

    upward pressure is = 29.43 kN/m2

    Wt of slab = =1x1x1.2x25 = 30 Kn/m2

    Net un balanced force = 0

    Hence Nominal reinfoircemenmt is required.

    provide @ .2% bothways both sides .2x1200x1000/100

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    2400 mm2

    Both sides @ 1200 mm2

    provide 16@ 167.50 c/c

    provide 16 @ 150.00 mm c/c both top and bottom

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    100)/(450-100)

    3.21

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    4.2

    .

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    ported

    491

    804

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    .

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    Deisgn of Ramp

    Design of Slab

    Here the aspect ratio Ly/Lx is greater than 2 hence the slab is designed as a one way slab.

    Effective depth required 125 mm

    OneShortEdgeDisContinuous:

    Basic dimensions of slab = Lx Ly

    4.5 10

    Basic Ly/Lx ratio = 2.222 >2

    Hence designed as an one way slab

    Clear cover to reinforcement d' = 25 mm

    Provided overall depth D = 250.00 mm

    Effective depth d = 217.00 mm

    Diameter of bar f = 16 mm

    Select Grade of Concrete fck = 20 N/mm

    Select Grade of Steel fy = 415 N/mm

    Load calculation :

    Dead load of the slab DL = 6.250 kN/m

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    Floor finish(Roof finish) FF = 1 kN/m

    Live load LL = 20 kN/m

    Total load TL = 27.250 kN/m

    Moment and Area of Steel calculations:

    Mu Mu/bd Pt Ast reqd Min Ast Dia Spaci Ast pro

    kN.m N/mm

    2

    % mm mm mm mm mm

    103.46 2.20 73.24% 1589.32 260.4 16 125 1608.50 safe

    Provide 16mm @125 c/c

    Distribution steel @ 0.12%

    =.12*1000x250/100 300 mm2

    spacing of 10 mm 261.6666667 mm

    provide 10mm @ 250c/c

    Design of Ramp Beams

    Edge Beams

    Beam = 230x 500

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    d= 465.00 mm

    Load on Beam B1 =wlx/3 = =27.25*4.5/3 40.875 kN/m

    40.88 kN/m

    Moment = wl2/8 = 40.875x4.5x4.5/8 103.46 kN-m

    Mu = 1.5x103.46= 155.19 kN-m

    Mu/bd2

    = 155.19x10^6/100 0.71772

    Pt = 0.24 %

    Ast = =.24*1000*465/100 1112.5 mm2

    provide 4 Nos of 20mm at Bottom

    provide 2-16 mm at top

    Shear Design

    shear to be designed = = wl/2 = 61.3125 kN

    shear Stress = 61312.5/230*465 = 0.573281907 N/mm2

    percentage at supports = =402/230/465x10 0.38

    shear stregh of concrete = 0.26

    shear to be resisted = 0.12x230x465 = 33.5055 kN

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    spacing of 8 mm two legged stirrups = =2x50x.87x415x465/34

    = 501.077 mm

    provide 8mm @ 200c/c

    Middle Beams

    Beam = 230x 700

    d= 665.00 mm

    Load on Beam B1 =2xwlx/3 = =2x27.25*4.5/3 81.75 kN/m81.75 kN/m

    Moment = wl2/8 = 81.75x4.5x4.5/8 206.93 kN-m

    Mu = 1.5x206.93= 310.4 kN-m

    Mu/bd2

    = 310.4x10^6/1000 0.7

    Pt = 0.23 %

    Ast = =.23*1000*465/100 = 1551.7 mm2

    provide 5 Nos of 20mm at Bottom

    provide 2-16 mm at top

    provided Ast = 1570.00 mm2

    Shear Design

    shear to be designed = = wl/2 = 122.625 kN

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    shear Stress = 122625/230*465 = 0.8 N/mm2

    percentage at supports = =402/230/665x10 0.26

    shear stregh of concrete = 0.22

    shear to be resisted = 62.031 kN

    spacing of 8 mm two legged stirrups = =2x50x.87x415x665/62

    = 387.062 mm

    Provide 8mm @ 200c/c

    Design of Ramp columns

    Load on Edge Columns = 1.5*.5*2.5*4.5*27. 229.9 kN

    Load on Middle Columns = 1.5*5*4.5*27.25*. 459.8 kNCapacity of 300x300 with 6-12 Bars = =.45*20*(300x300-6*113)+.67x113 = 804 kN > 459.8

    Hence provide 300x 300 columns with 6-12mm bars

    Design of Walk Way

    Span of walkway = 0.9 m

    Loads:

    Live load = 2 kN/m2

    Assume Thickness 0.1 m

    Self wt = 2.5 kN/m2

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    FF = 1

    Total = 5.5 kN/m2

    factored = 8.25 kN/m2

    Moment = wl2/2 = 3.34125 kN-m

    Ast = 238.8720912 mm2

    Spacing of 8mm = 210.0840336 mm

    Provide 8mm @150c/c

    Design of Raft for Ramp

    1.094.2

    0.5 5 5 0 0.50

    3 0.5

    460 460 460

    2.25

    0

    2.25

    460 460 460

    5.00

    RAFT FOOTING-6

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    0

    0

    0

    0 0 0 0

    0.00

    1.08 11.00

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    0.50 0 0.5 0 5 0.50

    460 460

    4.5

    460 460

    0

    0 0

    0

    0 0 0 0

    0

    0

    0.5

    Total load on footing( factored load) = 2760 kN

    total load on the footing(Unfactored load) = 2024.00 kN

    Safe Bearing capacity of soil = 95.00 kN/m2

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    ex = eccentricity along xx axis = 0.00 m

    ey = eccentricity along yy axis = 0.67 m

    Mx = Moment about xx axis Mx = P*ey = 1226.7 kN-m

    My = Moment about yy axis My = P*ex = 0 kN-m

    upward soil pressure

    sigma = 60.21818182 6.690909091

    60.21818182 < 95.00 kN/m2

    safe

    cantilever bending moment M = w l2/2 = 7.5 kN-m

    simply supported Bending Moment, M = wl2/8 = 228 kN-m

    Maximum Bending Moment, Mu = 228 kN-m

    Depth of footing from Bending Moment consideration

    Charectaristic strength of concrete.fck = 20 N/mm2

    Yeild strength steel.fy = 415 N/mm2

    Effective depth of beam, d=sqrt(Mu/0.138*fck*b) = 351.78 mm

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    Assumed overall depth, D = 665.86 mm

    d/2+1100

    Depth of footing from shear consideration

    Charectaristic strength of concrete.fck = 20 N/mm2

    Shear strength of concret, tc = 1.12 N/mm2

    d+200

    At edge(Node No.2131)

    Perimeter, bo = (d/2+1100)+(d+200)+(d/2+1100)

    = 2d+2400 m

    Nominal shear stress,tv = V/bo*d

    1391*10^3/((2d+2400))*d = 1.25

    d = 357 mm

    Adopt effective depth of footing is = 1140 mm

    Provide overall depth 1200 mm

    Area of steel required = 559.179 mm

    2

    Min. area steel = 0.12%bd = 1008 mm2

    Dia of Bar = 16 mm

    Area of one bar = 201.0624 mm2

    Required spacing of steel = 359.6 mm

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    Provide spacing of steel = 150 mm

    Provide 16mm @150 mm c/c spacing