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 118 APPENDIX B ( Stone Column Design Calculation )

Stone column design

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  • 118

    APPENDIX B

    ( Stone Column Design Calculation )

  • 119

    1. Average N= 15

    Average unconfined strength corresponding to N=15

    Cu=10.19t/m2

    Average = 10.19/2 =5.09t/m2

    Say, 5t/m2

    2. safe bearing capacity of soil = 5.14X5.0/2.5 = 10.28t/m2

    Lets take the S.B.C as 10.5t/m2

    3. Average unit weight = 1.83t/m2

    Submerged unit weight = 0.83t/m2

    4. Nominal diameter of stone column = 500mm

    Increased size after installation = 600mm

    5. Critical depth = 4D

    = 4X0.6

    = 2.40m

    6. Initial radial stress in the soil

    ros = k0H

    K0 = 0.6

    ros = 0.6 X 0.83 X 2.40

    = 1.1952t/m2

    7. Radial stress in the soil due to surcharge effect equivalent 10.5

    rss = 0.6 X 10.5

    = 6.3t/m2

    8. Vertical stress in the stone column

    rc = tan2{45+c /2}[fc+ros+rss]

    c = 30

    F=4

    C=5

    tan2 [45++c /2] = 3

    rc= 3 X [4 X 5 +1.1952+6.3]

    = 82.4856t/m2

    9. Ultimate load carried by a stone column = 82.4856 X /4 X 0.62

    = 23.322t say 23.0t

    10. Load at ground level

    Weight of water = /4 X 392 X 20.7 X 1

    = 24728.025t

    =24729t

    Self weight of the tank = 508t

    Total weight = 25237t

    11. Thickness of sand pad = 1m

    Offset = 1m

    Distribution of load assumed as 1t

    Pressure on soil at ground level = 25237t / /4 [39+2X1.0]2

    = 19.124t/m2

  • 120

    12.0 Disposition of stone column:

    Equi- spacing of column at 1.25m

    Intervals on an equi-interval

    Triangular grid pattern

    12.1 Load at ground level = 19.124t/m2

    Spacing of columns, S=1.25m

    Tributary area of a column A = 0.866 (1.25)2

    = 1.353m2

    Area of stone column:

    Ap = /4 X 0.62 = 0.283m2

    a= Ap/A =0.283/1.353 = 0.209 ; say 0.21

    12.2 Elastic modulus of soil:

    ES = 300t/m2 (assumed)

    Elastic modulus of stone column:

    Ep = 3300 (assumed)

    13. Equivalent modulus of soil stratum, reinforced with stone column

    Eeq = Ep+(1-) ES

    = 0.210 X 3300 + (1-0.210) X 300

    = 930t/m2

    qp= 19.124 X 3300/ 930

    = 67.85t/m2

    Qp=67.85 X 0.283

    = 19.20

    F.S = 23.0/19.20

    = 1.197 = 1.2

    qs= 19.124 X 300/ 930

    = 6.16t/m2

    Stone column to be terminated in a cohesion less soil stratum, vide recommendation in the

    report.

    Depth of stone column will range from 7.5 to 9.5m.