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  • www.aarsleff.comNOM Oct 2015 1

    DGF mde, 29.10.2015 i st, DTU, Kgs. Lyngby

    Geoteknikerens hverdag

    Multi anchored sheet pile wall in soft clay standing on rock

    by

    Kristoffer Lauridsen, COWI

    Carsten S. Srensen, COWI

    Sren Juel Christensen, Aarsleff

    Ole Mller, Aarsleff

  • www.aarsleff.comNOM Oct 2015 2

    Multi anchored sheet pile wall in soft clay standing on rock

    Scope

    1. To compare design approaches (DAs) and partial coefficients

    of the Nordic countries (on the agenda for NMGEC7 meeting

    in Reykjavik on 21-22nd August 2015)

    2. To evaluate different modelling and effect of prestress of

    anchors

  • www.aarsleff.comNOM Oct 2015 3

    Multi anchored sheet pile wall in soft clay standing on rock

    Agenda

    ULS analysis with LEM

    fixed support

    elastic support without pre-stress

    elastic support with pre-stress

    ULS analysis with FEM

    with pre-stress

    SLS analysis with FEM

    with pre-stress

  • www.aarsleff.comNOM Oct 2015 4

    Multi anchored sheet pile wall in soft clay standing on rock

    Comparison of DAs and partial coefficients

    Parameters for LEM analysis

    Fill: rough wall

    / = 18/10 kN/m3

    = 35

    Soft clay: smooth wall

    = 6 kN/m3

    cu = 7 kN/m2 + 1,2 kN/m2 x z

    = 0

    Till: rough wall

    / = 10 kN/m3

    = 38

    Hydrostatic water pressure

  • www.aarsleff.comNOM Oct 2015 5

    Multi anchored sheet pile wall in soft clay standing on rock

    Comparison of DAs and partial coefficients

    NMGEC7 - meeting Reykjavik 2015 Encl. 1

    Retaining wall ULS - LEM earth pressure calculation

    DA3 DK NA, LC4

    Parameter c' cu G Q

    Partial coefficient 1,2 1,2 1,8 1,0 1,5

    Id Soil level depth, z ' 'k 'd rough

    [m] [m] [kN/m3] [ ] [ ] k K(k) Kp(k) Kc(k)

    1 Fill 0,0 0,0 18 -35 -30,3 1,0 0,26 0,27 1,25

    1 Fill -2,0 2,0 18 -35 -30,3 1,0 0,26 0,27 1,25

    2 Soft clay -2,0 2,0 6 0 0,0 0,0 1,00 1,00 2,00

    2 Soft clay -9,0 9,0 6 0 0,0 0,0 1,00 1,00 2,00

    3 Till -9,0 9,0 10 -38 -33,1 1,0 0,23 0,24 1,17

    3 Till -10,0 10,0 10 -38 -33,1 1,0 0,23 0,24 1,17

    Soil parameters, M

    Earth pressure coefficients

    Actions, F

  • www.aarsleff.comNOM Oct 2015 6

    Multi anchored sheet pile wall in soft clay standing on rock

    Comparison of DAs and partial coefficients

    NMGEC7 - meeting Reykjavik 2015

    Retaining wall ULS - LEM earth pressure calculationC:\Users\nom\Desktop\NMGEC7\[Nordic LEM earth pressure.xlsx]DK DA3 LC4

    DA3 DK NA, LC4

    Parameter c' cu G Q surface load, pk = 10 kN/m2

    Partial coefficient 1,2 1,2 1,8 1,0 1,5

    Id Soil level depth, z ' 'k 'd c'k c'd cuk cud u s'vd pd ed ed + u

    [m] [m] [kN/m3] [ ] [ ] [kN/m2] [kN/m2] [kN/m2] [kN/m2] [kN/m2] [kN/m2] [kN/m2] [kN/m2] [kN/m2]

    1 Fill 0,0 0,0 18 -35 -30,3 0 0,0 0 0 15 4,05 4,05

    1 Fill -2,0 2,0 18 -35 -30,3 0 0,0 0 0 36 15 13,52 13,52

    2 Soft clay -2,0 2,0 6 0 0,0 0 0,0 7,0 3,9 0 36 15 43,22 43,22

    2 Soft clay -9,0 9,0 6 0 0,0 0 0,0 15,4 8,6 70 78 15 75,89 145,89

    3 Till -9,0 9,0 10 -38 -33,1 10 8,3 0 70 78 15 11,83 81,83

    3 Till -10,0 10,0 10 -38 -33,1 10 8,3 0 80 88 15 14,14 94,14

    Soil parameters, M Actions, F

  • www.aarsleff.comNOM Oct 2015 7

    Multi anchored sheet pile wall in soft clay standing on rock

    Comparison of DAs and partial coefficients

    Total earth- and water pressure = 767 kN/m

    by DK NA, LC 4

    -10,0

    -9,0

    -8,0

    -7,0

    -6,0

    -5,0

    -4,0

    -3,0

    -2,0

    -1,0

    0,0

    0 50 100 150 200

    [kN/m2]

    LEM earth + water pressure

  • www.aarsleff.comNOM Oct 2015 8

    Multi anchored sheet pile wall in soft clay standing on rock

    Structural analysis of wall and anchors

    ULS analysis with LEM

    fixed support

    elastic support without pre-stress

    elastic support with pre-stress

    AZ 50

    I = 121.060 cm4/m, g = 253 kg/m2

    Wel = 5015 cm3/m

    Wpl = 5816 cm3/m

    AZ 19-700

    I = 39.380 cm4/m, g = 114 kg/m2

    Wel = 1870 cm3/m

    Wpl = 2206 cm3/m

  • www.aarsleff.comNOM Oct 2015 9

    Multi anchored sheet pile wall in soft clay standing on rock

    Structural analysis of wall and anchors

    Spring constant of anchors: LL

    EAN

    L

    LE

    A

    NE

    s

    per anchor per meter horizontal

    Id Level c 0,62" A EA v L EA/L EA/L/c EA/L/c x cos(v)

    Unit [m] [m] n [mm2] [kN] [ ] [m] [kN/mm] [kN/mm/m] [kN/mm/m]

    Upper -1,0 3,5 6 900 189.000 45 12,73 14,85 4,24 3,00

    Mid -3,5 3,5 6 900 189.000 45 9,19 20,56 5,87 4,15

    Lower -7,0 2,4 7 1050 220.500 45 4,24 51,97 21,66 15,31

    Note

    c horizontal distance between anchors

    n number of 0,62" strands, each with 150 mm2 cross sectional area

    E = 210.000 N/mm2

    v inclination to horizontal

    L axial length from anchor point at sheet pile wall down to top of rock at level -10

  • www.aarsleff.comNOM Oct 2015 10

    Multi anchored sheet pile wall in soft clay standing on rock

    Structural analysis of wall and anchors

    Capacity of anchors and max. proof load Pp

    axial per axial per horizontal

    Id Level c 0,62" Nyk Nuk anchor meter per meter

    Unit [m] [m] n [kN] [kN] [kN] [kN/m] [kN/m]

    Upper -1,0 3,5 6 1494 1674 1339 383 271

    Mid -3,5 3,5 6 1494 1674 1339 383 271

    Lower -7,0 2,4 7 1743 1953 1562 651 460

    Note

    fyk 1660 MPa yield stress

    fuk 1860 MPa tensile strength

    Pp proof load min {0,8 fuk; 0,95 fyk) x A

    Structural strength

    Characteristic

    Max possible Proof load Pp

  • www.aarsleff.comNOM Oct 2015 11

    Multi anchored sheet pile wall in soft clay standing on rock

    LEM: a) stiff support

    -40

    -35

    -30

    -25

    -20

    -15

    -10

    -5

    0

    5

    10

    0,0 1,0 2,0 3,0 4,0 5,0 6,0 7,0 8,0 9,0 10,0

    mm Deflection

    a) AZ50, stiff support

  • www.aarsleff.comNOM Oct 2015 12

    Multi anchored sheet pile wall in soft clay standing on rock

    LEM: a) stiff support

    -150

    -100

    -50

    0

    50

    100

    150

    200

    250

    300

    350

    0,0 1,0 2,0 3,0 4,0 5,0 6,0 7,0 8,0 9,0 10,0

    kNm/m Bending moment

    a) Stiff support

  • www.aarsleff.comNOM Oct 2015 13

    Multi anchored sheet pile wall in soft clay standing on rock

    LEM: b) elastic support, AZ50, no pre-stress

    -40

    -35

    -30

    -25

    -20

    -15

    -10

    -5

    0

    5

    10

    0,0 1,0 2,0 3,0 4,0 5,0 6,0 7,0 8,0 9,0 10,0

    mm Deflection

    a) AZ50, stiff support

    b) AZ50 no PS

  • www.aarsleff.comNOM Oct 2015 14

    Multi anchored sheet pile wall in soft clay standing on rock

    LEM: b) elastic support, AZ50, no pre-stress

    -150

    -100

    -50

    0

    50

    100

    150

    200

    250

    300

    350

    0,0 1,0 2,0 3,0 4,0 5,0 6,0 7,0 8,0 9,0 10,0

    kNm/m Bending moment

    a) Stiff support

    b) AZ50 no PS

  • www.aarsleff.comNOM Oct 2015 15

    Multi anchored sheet pile wall in soft clay standing on rock

    LEM: c1) Finish pre-stress, AZ50

    -40

    -35

    -30

    -25

    -20

    -15

    -10

    -5

    0

    5

    10

    0,0 1,0 2,0 3,0 4,0 5,0 6,0 7,0 8,0 9,0 10,0

    mm Deflection

    a) AZ50, stiff support

    b) AZ50 no PS

    c1) AZ50 Fin PS

  • www.aarsleff.comNOM Oct 2015 16

    Multi anchored sheet pile wall in soft clay standing on rock

    LEM: c1) Finish pre-stress, AZ50

    -150

    -100

    -50

    0

    50

    100

    150

    200

    250

    300

    350

    0,0 1,0 2,0 3,0 4,0 5,0 6,0 7,0 8,0 9,0 10,0

    kNm/m Bending moment

    a) Stiff support

    b) AZ50 no PS

    c1) AZ50 Fin PS

  • www.aarsleff.comNOM Oct 2015 17

    Multi anchored sheet pile wall in soft clay standing on rock

    LEM: c2) Finish pre-stress, AZ19-700

    -40

    -35

    -30

    -25

    -20

    -15

    -10

    -5

    0

    5

    10

    0,0 1,0 2,0 3,0 4,0 5,0 6,0 7,0 8,0 9,0 10,0

    mm Deflection

    a) AZ50, stiff support

    b) AZ50 no PS

    c1) AZ50 Fin PS

    c2) AZ19 FIn PS

  • www.aarsleff.comNOM Oct 2015 18

    Multi anchored sheet pile wall in soft clay standing on rock

    LEM: c2) Finish pre-stress, AZ19-700

    -150

    -100

    -50

    0

    50

    100

    150

    200

    250

    300

    350

    0,0 1,0 2,0 3,0 4,0 5,0 6,0 7,0 8,0 9,0 10,0

    kNm/m Bending moment

    a) Stiff support

    b) AZ50 no PS

    c1) AZ50 Fin PS

    c2) AZ19 FIn PS

  • www.aarsleff.comNOM Oct 2015 19

    Multi anchored sheet pile wall in soft clay standing on rock

    LEM: d) DK pre-stress, AZ19-700

    -40

    -35

    -30

    -25

    -20

    -15

    -10

    -5

    0

    5

    10

    0,0 1,0 2,0 3,0 4,0 5,0 6,0 7,0 8,0 9,0 10,0

    mm Deflection

    a) AZ50, stiff support

    b) AZ50 no PS

    c1) AZ50 Fin PS

    c2) AZ19 FIn PS

    d) AZ19 DK PS

  • www.aarsleff.comNOM Oct 2015 20

    Multi anchored sheet pile wall in soft clay standing on rock

    LEM: d) DK pre-stress, AZ19-700

    -150

    -100

    -50

    0

    50

    100

    150

    200

    250

    300

    350

    0,0 1,0 2,0 3,0 4,0 5,0 6,0 7,0 8,0 9,0 10,0

    kNm/m Bending moment

    a) Stiff support

    b) AZ50 no PS

    c1) AZ50 Fin PS

    c2) AZ19 FIn PS

    d) AZ19 DK PS

  • www.aarsleff.comNOM Oct 2015 21