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    Plum Concrete Walls

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    nilesh
    The document contains calculations for the stability of two retaining walls (RW), including active and passive earth pressures, forces and moments due to the weight of the RW and soil, and factors of safety against sliding and overturning. Design details and parameters such as unit weights, dimensions, and pressures are provided for analyzing the stability of the RW sections. The calculations determine that both RW designs satisfy the required factors of safety of 1.4 for sliding and 1.2 for overturning.

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    © All Rights Reserved
    Download as XLS, PDF, TXT or read online from Scribd

    Plum Concrete Walls

    Uploaded by

    nilesh
    18 views4 pages
    The document contains calculations for the stability of two retaining walls (RW), including active and passive earth pressures, forces and moments due to the weight of the RW and soil, and factors of safety against sliding and overturning. Design details and parameters such as unit weights, dimensions, and pressures are provided for analyzing the stability of the RW sections. The calculations determine that both RW designs satisfy the required factors of safety of 1.4 for sliding and 1.2 for overturning.

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    Plum concrete walls

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    The document contains calculations for the stability of two retaining walls (RW), including active and passive earth pressures, forces and moments due to the weight of the RW and soil, and factors of safety against sliding and overturning. Design details and parameters such as unit weights, dimensions, and pressures are provided for analyzing the stability of the RW sections. The calculations determine that both RW designs satisfy the required factors of safety of 1.4 for sliding and 1.2 for overturning.

    Copyright:

    © All Rights Reserved
    Download as XLS, PDF, TXT or read online from Scribd
    Download as xls, pdf, or txt
    18 views4 pages

    Plum Concrete Walls

    Uploaded by

    nilesh
    The document contains calculations for the stability of two retaining walls (RW), including active and passive earth pressures, forces and moments due to the weight of the RW and soil, and factors of safety against sliding and overturning. Design details and parameters such as unit weights, dimensions, and pressures are provided for analyzing the stability of the RW sections. The calculations determine that both RW designs satisfy the required factors of safety of 1.4 for sliding and 1.2 for overturning.

    Copyright:

    © All Rights Reserved
    Download as XLS, PDF, TXT or read online from Scribd
    Download as xls, pdf, or txt
    of 4

    RW - 1 (Ground water pressure not considered)

    Total clear retention of Soil required 4 mtr


    Depth of embedment of RW 1 mtr
    Surcharge 0 mtr
    Unit wt of masonry 24 kN/cu.m
    Unit wt of soil 18 kN/cu.m
    unit wt of water 0 kN/cu.m
    ka 0.333
    kp 3
    Coefficient of Friction(m) 0.5

    RW section Details

    0.5
    1

    0.8
    4 1

    1.1
    1

    1.4
    1
    1

    1.7
    Caculation Data:

    Active earth pressure


    Forces
    Due to surchage(Fw) = (ka) x (surcharge ht) x (unit wt of soil)x(Total ht of RW) 0 kN
    Due to backfill(Fb) = (1/2) x (ka) x (Total ht of RW)2 x unit wt of soil 75 kN
    Total 75 kN

    Moments about Toe


    Due to surchage = (Fw) x (Total ht of RW) x (1/2) 0 kN-m
    Due to backfill = (Fb) x (Total ht of RW) x (1/3) 125 kN-m
    Total 125 kN-m

    Passive earth pressure(considered)


    Forces
    Due to soil fill(Ff) = (1/2)x(kp)x(Soil depth on passive side)2xunit wt of soil 27 kN
    Total 27 kN

    Moments about Toe


    Due to soil fill = (Ff) x (Soil depth on passive side) x (1/3) 9 kN-m
    Total 9 kN-m

    Forces and Moments about Toe due to RW own weight & soil load on steps

    Masonry
    Dist from Force in Moment
    Sr. No RW sizes (step wise)
    toe (mtr) kN in kN-m
    1 0.5 x 1 0.25 12.00 3.00
    2 0.8 x 1 0.4 19.20 7.68
    3 1.1 x 1 0.55 26.40 14.52
    4 1.4 x 1 0.7 33.60 23.52
    5 1.7 x 1 0.85 40.80 34.68

    Total 132.00 83.40


    Soil
    Dist from Force in Moment
    Sr. No RW sizes (step wise)
    toe (mtr) kN in kN-m
    6 0.3 x 1 0.65 5.40 3.51
    7 0.3 x 2 0.95 10.80 10.26
    8 0.3 x 3 1.25 16.20 20.25
    9 0.3 x 4 1.55 21.60 33.48

    Total 54.00 67.50

    TotalForcesResistingsliding(FR)= 132.00 + 54.00 = 186.00 kN


    TotalForcesCausing Sliding(FS)= 75 - 27 = 48 kN

    Factor of Safety against Sliding = m x FR 1.94 >1.4 Hence OK


    FS

    Total OverturningMoments (Mo)= 125 = 125.00 kN-m


    Total ResistingMoments (MR)= 83.40 + 67.50 + 9 159.90 kN-m

    Factor of Safety against overturning = Mo / MR 1.28 >1.2 Hence OK


    RW - 2 (Ground water pressure not considered)

    Total clear retention of Soil required 2.5 mtr


    Depth of embedment of RW 1 mtr
    Surcharge 0 mtr
    Unit wt of masonry 24 kN/cu.m
    Unit wt of soil 18 kN/cu.m
    unit wt of water 0 kN/cu.m
    ka 0.333
    kp 3
    Coefficient of Friction(m) 0.5

    RW section Details

    0.85

    0.3
    0.85

    external internal
    0.3 2.5
    0.85

    0.3
    0.85

    0.3
    0.7 1.6

    1.2
    Caculation Data:

    Active earth pressure


    Forces
    Due to surchage(Fw) = (ka) x (surcharge ht) x (unit wt of soil)x(Total ht of RW) 0 kN
    Due to backfill(Fb) = (1/2) x (ka) x (Total ht of RW)2 x unit wt of soil 50.43 kN
    Total 50.43 kN

    Moments about Toe


    Due to surchage = (Fw) x (Total ht of RW) x (1/2) 0 kN-m
    Due to backfill = (Fb) x (Total ht of RW) x (1/3) 68.921 kN-m
    Total 68.921 kN-m

    Passive earth pressure(considered)


    Forces
    Due to soil fill(Ff) = (1/2)x(kp)x(Soil depth on passive side)2xunit wt of soil 69.12 kN
    Total 69.12 kN

    Moments about Toe


    Due to soil fill = (Ff) x (Soil depth on passive side) x (1/3) 36.864 kN-m
    Total 36.864 kN-m

    Forces and Moments about Toe due to RW own weight & soil load on steps

    Masonry
    Dist from Force in Moment
    Sr. No RW sizes (step wise)
    toe (mtr) kN in kN-m
    1 0.3 x 0.85 0.15 6.12 0.92
    2 0.3 x 0.85 0.15 6.12 0.92
    3 0.3 x 0.85 0.15 6.12 0.92
    4 0.3 x 0.85 0.15 6.12 0.92
    5 1.2 x 0.7 0.6 20.16 12.10

    Total 44.64 15.77


    Soil
    Dist from Force in Moment
    Sr. No RW sizes (step wise)
    toe (mtr) kN in kN-m
    6 0 x 0.85 0.3 0.00 0.00
    7 0 x 1.7 0.3 0.00 0.00
    8 0 x 2.55 0.3 0.00 0.00
    9 0.9 x 3.4 0.75 55.08 41.31

    Total 55.08 41.31

    TotalForcesResistingsliding(FR)= 44.64 + 55.08 = 99.72 kN


    TotalForcesCausing Sliding(FS)= 50.43 - 69.12 = -18.69 kN

    Factor of Safety against Sliding = m x FR -2.67 >1.4 Hence OK


    FS

    Total OverturningMoments (Mo)= 68.921 = 68.92 kN-m


    Total ResistingMoments (MR)= 15.77 + 41.31 + 36.864 93.94 kN-m

    Factor of Safety against overturning = Mo / MR 1.36 >1.2 Hence OK

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