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    KTH AF2611 GEOTECHNICAL ENGINEERING ,ADVANCED COURSE

    SCHOOL OF ARCHITECTURE AND BUILT ENVIRONMENT

    DIVISION OF SOIL AND ROCK MECHANICS

    Geotechnical Design ReportTemporary Sheet Pile wall Design for a Highway

    Project

    Yohannes Kiflat 810214-5854

    Yohannes Mehari 870110-0573

    STOCKHOLM

    2012-10-22

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    Content

    Table of Content ................................................................................................................................................ 1

    Objective and Purpose ....................................................................................................................................... 2

    Basis for Design and Valid Documents ............................................................................................................. 2

    Geology and Ground Condition ........................................................................................................................ 4

    Characterstic Values .......................................................................................................................................... 5

    Recommendations ............................................................................................................................................. 7

    Design ................................................................................................................................................................ 8

    Descripiton of Construction ......................................................................................................................... 8

    Design Values............................................................................................................................................. 11

    Assumptions ............................................................................................................................................... 13

    Calculations ................................................................................................................................................ 14

    Ultimate Limist State Design (ULS) .......................................................................................................... 14

    Serviceability Limit State Design (SLS) .................................................................................................... 38

    Control Program .............................................................................................................................................. 58

    List of Symbols................................................................................................................................................ 60Appendix ......................................................................................................................................................... 62

    References .................................................................................................................................................. 62

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    Objective and Purpose

    It is a common sight in the modern engineering world to witness elevated bypasses or underpasses

    in highway construction. These structures are constructed to reduce the trafficable road demand in

    most cities where the available space is limited due to existing important structures. In the

    construction of the above stated bypasses or underpasses there is a need for a cut in to the existing

    ground (underpasses) or filling in to the existing ground (bypasses). In the case of underpasses there

    is a need for a deep excavation work where the depth of the soil is supposed to be retained by an

    earth retaining structure. This specific project is concerned with such kind of excavation work for a

    road ramp which is part of a bigger highway interchange. Since the depth of excavation is high (8.3

    m below the surface) the ground will be unstable and risky as a construction site.

    The main objective of this project work is to design a temporary sheet pile wall to support 8, 3 m

    deep road side excavation using the ultimate limit state and serviceability limit state design .The

    eventual goal is to achieve a safe retaining structure with a maximum deformation of 50 mm. A

    suitable work order of notable purpose and efficiency is prepared .Such a work order and design

    shall guarantee a safe flow of work with respect to achieving the necessary deformation and safety

    requirements of the project.

    In performing this design, a geological model for the project is prepared from the available

    geological data. This geological model is used to determine geological parameters which can be

    used in the analysis part of this project. Using the ultimate limit state design method the strength

    parameters necessary for the determination of section sizes and dimensions of the variouscomponents of the temporary retaining structure such as sheet pile section , wale beam, struts and

    dowels are calculated. Finally using finite element software (PLAXIS) the deformations at each

    level of excavation are checked to comply with the requirement of maximum 50 mm displacement.

    To perform the construction a specific work order program is prepared for each excavation stage in

    the project. Suitable control points to measure and counter check deformations at each level of

    construction are also pointed.

    Basis for Design and Valid Documents

    The basis for design of this project is as per the Sponthandboken T18:1996 guidelines as presented

    in the course AF2609 for the ultimate limit state design where the basic principle is that the acting

    forces and moments should be less than the resisting force and moments determined. In this design

    guide lines the partial safety factors (m and n) have been used to determine the design values for

    the calculations. For this project the structure is designed in safety class 3.

    All the appropriate forces acting on the wall of the retaining wall are taken in to consideration.

    Moreover, Ground water table is established to act at the top of the dry crust level even though the

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    site investigation data points out that it is below the dry crust level. This is done to cater for the

    unexpected pore pressures which are entrapped in the upper pockets of the clay from water in the

    rainy season.

    In specifying the necessary section properties for the sheet pile wall components, manufacturerstables have been used. The reference for these tables is presented in the appendix of this document.

    The site location map for this design and the points for core drilling tests are as presented in the

    figure below. One wall is considered for design due to symmetry with respect to the opposite side of

    the wall.

    Fig.1 Location plan

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    Geology and Ground Condition

    An investigation into the geological formation of the area has been done and tests carried out to find

    the different soil layers that exist around the project site. These tests are carried out in different

    localities around the projects site. A total of 8 tests were done in 8 different locations.

    The tests include both probing tests ( Vim- Machine driven weight sounding test ; Jb-Rock drilling

    test; Cpt-cone penetration test ;Hfa-ram sounding test ) and Insitu test (Vb-Vane test).

    The results of the geological investigation reveal that in the shallow soil layers fill materials are

    predominant with varying layer thickness from 0,8 m to 1,4 m. Below the fill layer a dry crust layer

    of varying thickness ranging from 0,4 -1,2 m follows. This dry crust layer rests on a clay deposit of

    up 10 m depth. Below this clay layer deposits of sand /sil layer exists with a layer depth between 3-

    1,5 m. This friction soil continues to a more firm moraine further down.

    The investigation shows that the depth of the bed rock is found between 6- 19 m below the surface

    of the ground. Ground water in the soil exists in a magazine in the friction soil beneath the clay and

    sometimes the upper fill material. For the design purpose the ground level is taken at the top of the

    dry crust level even though the investigation shows that it is located in the upper part of clay and

    sometimes on the fill part.

    Based on the test results and engineering judgement a more conservative but yet optimal geological

    model is developed as shown below in the fig.

    Fig.2 Geological Model

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    Characteristic Values

    The characterstic values for this project are summarized in the table below. The undrained shear

    strength for clay varies and has to be corrected. This is done as follows:

    The uncorrected undrained shear strength of clay sample test has been collected from the boreholes

    of LID_7, LID_3 and RV584. According to the figure below there is a worst and best line for the

    undrained shear strength of clay. If we take the best line we may have some failure in the passive

    part of the soil.to be conservative with undrained shear strength we have taken a line in between the

    worst and best line.hence the dash line in the figure used as corrected undrained shear strength for

    this project.

    Corrected undrained shear strength where = (0,43/WL)0,45 andCuk = uncorrected shear strength

    WL= liquid limit

    Fig.3 Corrected Undrained shear Strength

    0

    5

    10

    15

    20

    25

    30

    undrained

    shear strength

    undraineds

    hearstrength

    depth

    corrected undrained shear strength

    LID_7

    LID_3

    RV584

    corrected

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    Loads

    Loads from traffic and build traffic shall be applied. The characteristics load from build traffic can

    be set 10 kPa. If higher loads exist, like crane load, these should be considered in design. the active

    earth pressure in saturated clay should be complemented by hydrostatical pore water pressurethrough the clay layer from at least the upper surface of the clay.

    Characteristic Values for the project

    Soil type FillDry

    crustClay

    Sand &

    siltMoraine

    Internal angle friction (k) 35 32 38

    Saturated Unit Weight k (kN/m3) 18 18 17 21 22

    Unsaturated Unit Weight k (kN/m3) 18 18 17 18 19

    Unit weight of unsaturated k

    (kN/m3)18 19 21

    Young's modulus Ek (Mpa) 20 6 250*Cuk 15 40

    Undrained shear strength Cuk

    (Kpa)0 25 16

    Table 1. Characteristic Values

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    Recommendations

    Based on the analysis of the retaining structure both in ultimate limit state (ULS) and the

    serviceability limit state (SLS) , the following results and recommendations can be made.

    A. Sheet Pile wall

    #Msd

    (KN m/m)

    Wxd

    (cm3/m)

    Wact

    (cm3/m)

    t

    (mm)Profile

    Sheet Pile 314.2 1142. 1405 10 AU 14

    B. STRUTSStrut

    Nsd

    (KN /m)

    Msd(KN m/m)

    Wel

    (cm3/m)

    t

    (mm)

    d

    (mm)Profile

    Strut 1 396 25.8 328 10 219.1 STEEL TUBE

    Strut 2 340.2 20.8 270 8 219.1 STEEL TUBE

    Strut 3 327 20.8 270 8 219.1 STEEL TUBE

    Strut 4 336 20.8 270 8 219.1 STEEL TUBE

    C. WALE BEAMS

    Strut

    Level

    Msd(KN m/m)

    Wx(cm

    3/m)

    Wel(cm

    3/m)

    t

    (mm)

    A

    (mm2)

    Profile

    1 132 461 570 15 7808 HEB-2002 113.4 396 426 14 6525 HEB-180

    3 109 380 426 14 6525 HEB-180

    4 47.3 165 216 12 4296 HEB-140

    D. DOWELS

    Circular dowels of high strength steel (fy =355 MPa) witha diameter of 90 mm shall be used.

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    Design

    Description of Construction

    The following figures depict specifically what goes on the construction of the project.

    1. FIRST EXCAVATION STAGE

    Fig.4 Construction stage 1

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    2. SECOND EXCAVATION STAGE

    Fig.5 Construction stage 2

    3. THIRD EXCAVATION

    Fig.6 Construction stage 3

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    4. FOURTH EXCAVATION

    Fig.7 Construction stage 4

    5. FINAL EXCAVATION

    Fig.8 Construction stage 5

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    Design Values

    Parital Coefficients

    The Partial safety factor for this design are summarized in the table below.

    Soil Material

    Partial coefficients of soil material

    Ultimate limit state (m) serviceability limit state (m)

    Existing fill, tan 1.1 1

    Existing fill 1.6 1Clay,Cu 1.4 1

    Clay,E 1.5 1

    Friction material and

    moraine( tan)

    1.2 1

    Friction material and

    moraine E

    1.2 1

    Table 2. Partial Coefficient Soil Materials

    Steel Material

    Partial coefficent for steel material

    Steel Material m

    sheet pile 1

    wale beam 1

    strut 1dowel 1.6

    Table 3. Partial Coefficient Steel Material

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    Design Results

    1. Sheet Pile# Msd kNm/m Wx cm^3/m

    Sheet Pile 314,2 1142,5

    2. Struts

    Strut Nsd Msd (kN/m) Wx cm^3/m

    St.1 396 25,8 328

    St.2 340,2 20,8 270

    St.3 327 20,8 270

    St.4 336 20,8 270

    3. Wale Beams

    Strut Level Msd Wx cm^3/m

    1 132 461

    2 113,4 396

    3 109 380

    4 47,3 165

    4. Dowel# Nsd Msd Wx cm^3/m

    Dowel 308,07 80,1 276

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    Assumptions

    The following terms are assumed in the design of the temporary sheet pile in the ultimate limit state

    (ULS) design approach.

    1. A homogenous soil layer is assumed in the design of the temporary retaining structure.2. A horizontal ground surface is assumed when doing the calculations.3. No friction or cohesion between the soil and the sheet pile structure.4. Deformations are high enough that the full active and passive pressures are developed.5. In cohesive soils the active soil pressure is at least equal to the pore water pressure from the

    top of the soil layer.

    6. The Sheet pile wall is assumed to be symmetric with respect to the other side of the wall andhence one wall is analyzed.

    7. Dowel partial safety factor is assumed to be 1.6 as it is for deep excavation.

    The following terms are assumed in the design of the temporary sheet pile in the serviceability limit

    state design approach.

    1. Plain Strain condition is chosen for the analysis of the structure in PLAXIS.2. The analysis is also done in two dimensional analyses where in fact a 3 dimensional analysis

    will give more accurate results.

    3. Mohor-columb soil failure mode is used in analysis.4. Deformation is high enough that full active and passive pressures are developed.5. Soil wall interaction is taken into account by assuming and doing sensitivity analysis of

    different interface values.

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    Calculations

    Ultimate Limit State Design

    The following formulas have been used to calculated the active and passive pressures in the following tables:

    Active Pressure

    Friction Soil:

    ( ) Clay :

    Passive Pressure :

    Friction Soil :

    ( )

    Clay :

    The table of calculations for each step of excavation and the respective force distribution for the

    calculations of the anchor forces and sheet pile moments are presented below.

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    1. First Excavation StageActive earth pressure

    Soil Profile Level h w q k Cuk k m n Cud d d ka v u v' a

    Fill3.8 0.0 9.8 10.0 18.0 35.0 1.1 1.2 0.0 13.6 27.9 0.4 10.0 0.0 10.0 3.6

    2.8 1.0 9.8 10.0 18.0 0.0 35.0 1.1 1.2 0.0 13.6 27.9 0.4 23.6 0.0 23.6 8.6

    Dry crust2.8 1.0 9.8 10.0 18.0 25.0 0.0 1.4 1.2 14.9 10.7 0.0 1.0 25.0 0.0 25.0 -4.8

    1.8 2.0 9.8 10.0 18.0 25.0 0.0 1.4 1.2 14.9 10.7 0.0 1.0 35.7 9.8 25.9 -29.8

    Clay

    1.8 2.0 9.8 10.0 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 35.7 9.8 25.9 16.7

    0.8 3.0 9.8 10.0 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 45.8 9.8 36.0 26.8

    -0.2 4.0 9.8 10.0 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 56.0 29.4 26.5 36.9

    -4.2 8.0 9.8 10.0 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 96.4 68.7 27.8 77.4

    Sand/Silt

    -4.2 8.0 9.8 10.0 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 0.4 96.4 68.7 27.8 80.6

    -6.4 10.2 9.8 10.0 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 0.4 128.1 90.0 38.1 106.4

    -6.7 10.5 9.8 10.0 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 0.4 132.9 93.2 39.7 110.3

    Moraine-6.7 10.5 9.8 10.0 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 0.4 132.9 93.2 39.7 107.3

    -8.7 12.5 9.8 10.0 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 0.4 163.4 112.8 50.6 130.7

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    Passive Earth Pressure

    Soil Profile Level h w q k Cu k m n Cud d d kp vp u v' P a P(netto)

    Clay

    0.8 0.0 9.8 - 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 0.0 0.0 0.0 19.0 -20.2 8.5

    -0.2 1.0 9.8 - 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 10.1 9.8 0.3 29.2 -10.4 8.5

    -4.2 5.0 9.8 - 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 50.6 49.1 1.5 69.6 28.8 8.5

    Sand/Silt

    -4.2 5.0 9.8 - 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 2.3 50.6 49.1 1.5 52.6 80.6 -28.0

    -5.2 6.0 10.8 - 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 2.3 65.2 60.0 5.2 72.0 106.4 -34.3-6.7 7.5 9.8 - 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 2.3 87.1 75.0 12.1 103.0 110.3 -7.3

    Moraine-6.7 7.5 9.8 - 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 2.8 87.1 75.0 12.1 109.0 107.3 1.8

    -8.7 9.5 9.8 - 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 2.8 117.6 95.0 22.6 158.8 130.7 28.1

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    Fig.9 Pressure diagram excavation stage 1

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    Fig.10 Shear Force Diagram

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    2. Second Excavation StageActive earth pressure

    Soil Profile Level h w q k Cuk k m n Cud d d ka v u v' a

    Fill3.8 0.0 9.8 10.0 18.0 35.0 1.1 1.2 0.0 13.6 27.9 0.4 10.0 0.0 10.0 3.6

    2.8 1.0 9.8 10.0 18.0 0.0 35.0 1.1 1.2 0.0 13.6 27.9 0.4 23.6 0.0 23.6 8.6

    Dry crust 2.8 1.0 9.8 10.0 18.0 25.0 0.0 1.4 1.2 14.9 10.7 0.0 1.0 25.0 0.0 25.0 -4.81.8 2.0 9.8 10.0 18.0 25.0 0.0 1.4 1.2 14.9 10.7 0.0 1.0 35.7 9.8 25.9 -29.8

    Clay

    1.8 2.0 9.8 10.0 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 35.7 9.8 25.9 16.7

    -0.2 4.0 9.8 10.0 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 56.0 29.4 26.5 36.9

    -1.2 5.0 9.8 10.0 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 66.1 39.2 26.9 47.0

    -4.2 8.0 9.8 10.0 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 96.4 68.7 27.8 77.4

    Sand/Silt

    -4.2 8.0 9.8 10.0 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 0.4 96.4 68.7 27.8 80.6

    -6.4 10.2 9.8 10.0 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 0.4 128.1 90.0 38.1 106.4

    -6.7 10.5 9.8 10.0 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 0.4 132.9 93.2 39.7 110.3

    Moraine-6.7 10.5 9.8 10.0 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 0.4 132.9 93.2 39.7 107.3

    -8.7 12.5 9.8 10.0 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 0.4 163.4 112.8 50.6 130.7

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    Passive Earth Pressure

    Soil Profile Level h w q k Cu k m n Cud d d kp vp u v' P a P(netto)

    Clay-1.2 0.0 9.8 - 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 0.0 0.0 0.0 19.0 57.1 -11.8

    -4.2 3.0 9.8 - 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 30.4 14.7 15.6 49.4 77.4 -11.8

    Sand/Silt

    -4.23.0 9.8 - 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 2.3 30.4 14.7 15.6 51.0 80.6 -29.6

    -5.4 4.2 9.8 - 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 2.3 47.9 26.5 21.4 76.1 106.4 -30.2

    -6.7 5.5 9.8 - 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 2.3 66.8 39.2 27.6 103.3 110.3 -7.0

    Moraine-6.7 5.5 9.8 - 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 2.8 66.8 39.2 27.6 117.1 107.3 9.8

    -8.7 7.5 9.8 - 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 2.8 97.4 58.9 38.5 167.6 130.7 36.8

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    Fig.11 Pressure diagram excavation stage 2

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    3. Third Excavation StageActive earth pressure

    Soil Profile Level h w q k Cuk k m n Cud d d ka v u v' a

    Fill3.8 0.0 9.8 10.0 18.0 0.0 35.0 1.1 1.2 0.0 13.6 27.9 0.4 10.0 0.0 10.0 3.6

    2.8 1.0 9.8 10.0 18.0 0.0 35.0 1.1 1.2 0.0 13.6 27.9 0.4 23.6 0.0 23.6 8.6

    Dry crust 2.8 1.0 9.8 10.0 18.0 25.0 0.0 1.4 1.2 14.9 10.7 0.0 1.0 25.0 0.0 25.0 -4.81.8 2.0 9.8 10.0 18.0 25.0 0.0 1.4 1.2 14.9 10.7 0.0 1.0 35.7 9.8 25.9 -29.8

    Clay

    1.8 2.0 9.8 10.0 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 35.7 9.8 25.9 16.7

    -0.2 4.0 9.8 10.0 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 56.0 29.4 26.5 36.9

    -2.2 6.0 9.8 10.0 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 76.2 49.0 27.2 57.1

    -4.2 8.0 9.8 10.0 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 96.4 68.7 27.8 77.4

    Sand/Silt

    -4.2 8.0 9.8 10.0 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 0.4 96.4 68.7 27.8 80.6

    -4.5 8.3 9.8 10.0 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 0.4 109.7 71.6 38.2 88.0

    -6.4 10.2 9.8 10.0 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 0.4 128.1 90.0 38.1 106.4

    -6.7 10.5 9.8 10.0 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 0.4 132.9 93.2 39.7 110.3

    Moraine

    -6.7 10.5 9.8 10.0 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 0.4 132.9 93.2 39.7 107.3

    -8.5 12.3 9.8 10.0 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 0.4 160.4 110.9 49.5 128.4

    -8.6 12.4 9.8 10.0 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 0.4 161.9 111.8 50.1 129.6

    -8.7 12.5 9.8 10.0 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 0.4 162.7 112.3 50.4 130.2

    -8.7 12.5 9.8 10.0 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 0.4 163.4 112.8 50.6 130.7

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    Passive Earth Pressure

    Soil Profile Level h w q k Cu k m n Cud d d kp vp u v' P a P(netto)

    Clay-2.2 0.0 9.8 10.0 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 0.0 0.0 0.0 19.0 57.1 -21.9

    -4.2 2.0 9.8 10.0 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1 .0 20.2 19.6 0.6 39.3 77.4 -21.9

    Sand/Silt-4.2 2.0 9.8 - 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 2.3 20.2 19.6 0.6 21.1 80.6 -59.6

    -6.7 4.5 9.8 - 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 2.3 56.7 22.1 34.6 102.4 110.3 -7.9

    Moraine-6.7 4.5 9.8 - 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 2.8 56.7 22.1 34.6 119.7 107.3 12.5

    -8.7 6.5 9.8 - 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 2.8 87.3 24.1 63.1 202.4 130.7 71.6

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    Fig.12 Pressure diagram excavation stage 3

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    4. Final Excavation Stage

    Active earth pressure

    Soil Profile Level h w q k Cuk k m n Cud d d ka v u v' a

    Fill3.8 0.0 9.8 10.0 18.0 0.0 35.0 1.1 1.2 0.0 13.6 27.9 0.4 10.0 0.0 10.0 3.6

    2.8 1.0 9.8 10.0 18.0 0.0 35.0 1.1 1.2 0.0 13.6 27.9 0.4 23.6 0.0 23.6 8.6

    Dry crust2.8 1.0 9.8 10.0 18.0 25.0 0.0 1.4 1.2 14.9 10.7 0.0 1.0 25.0 0.0 25.0 -4.8

    1.8 2.0 9.8 10.0 18.0 25.0 0.0 1.4 1.2 14.9 10.7 0.0 1.0 35.7 9.8 25.9 -29.8

    Clay

    1.8 2.0 9.8 10.0 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 35.7 9.8 25.9 16.7

    -0.2 4.0 9.8 10.0 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 56.0 29.4 26.5 36.9

    -2.2 6.0 9.8 10.0 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 76.2 49.0 27.2 57.1

    -4.2 8.0 9.8 10.0 17.0 16.0 0.0 1.4 1.2 9.5 10.1 0.0 1.0 96.4 68.7 27.8 77.4

    Sand/Silt

    -4.2 8.0 9.8 10.0 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 0.4 96.4 68.7 27.8 80.6

    -4.5 8.3 9.8 10.0 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 0.4 109.7 71.6 38.2 88.0

    -6.4 10.2 9.8 10.0 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 0.4 128.1 90.0 38.1 106.4

    -6.7 10.5 9.8 10.0 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 0.4 132.9 93.2 39.7 110.3

    Moraine

    -6.7 10.5 9.8 10.0 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 0.4 132.9 93.2 39.7 107.3-8.5 12.3 9.8 10.0 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 0.4 160.4 110.9 49.5 128.4

    -8.6 12.4 9.8 10.0 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 0.4 161.9 111.8 50.1 129.6

    -8.7 12.5 9.8 10.0 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 0.4 162.7 112.3 50.4 130.2

    -8.7 12.5 9.8 10.0 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 0.4 163.4 112.8 50.6 130.7

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    Passive Earth Pressure

    Soil Profile Level h w q k Cu k m n Cud d d kp vp u v' P a P(netto)

    Sand/Silt-4.5 0.0 9.8 - 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 2.3 0.0 0.0 0.0 0.0 88.0 -88.0

    -6.7 2.2 9.8 - 21.0 0.0 32.0 1.2 1.2 0.0 14.6 23.5 2.3 32.1 21.6 10.5 46.0 110.3 -64.3

    Moraine-6.7 2.2 9.8 - 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 2.8 32.1 21.6 10.5 51.2 107.3 -56.0

    -8.7 4.2 9.8 - 22.0 0.0 38.0 1.2 1.2 0.0 15.3 28.5 2.8 62.6 41.2 21.4 101.7 130.7 -29.0

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    Fig.13 Pressure diagram excavation stage 4

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    Design of sheet pile wall

    Condition MRd Mmax

    Mmax = 314,2 KNm/m

    Mmax 3/m

    Design of struts

    Strut Strut Force [KN/m]

    q1 132

    q2 113,4

    q3 109,4

    q4 112

    Design load of the strut

    Strut one Nsd1 = 1,5 *q1*c where c is the spacing between strut which is 2m

    NRd1=396 KN

    Strut two Nsd2 = 1,5 *q2*c

    Nsd2 = 340,2 KN

    Strut three Nsd3 = 1,5 *q3*c

    Nsd3 = 327 KN

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    Strut four Nsd4 = 1,5 *q4*c

    Nsd4 =336 KN

    From the hollow KCKR welded round, cold formed

    Diameter of the struts, D=219,1mm, t =10 mm, g (self-weight) = 51,6 kg/m (strut one )

    Diameter of the struts,D=219,1mm, t =8 mm g (self-weight) = 41,6 kg/m (strut two ,three, four)

    Moment on the struts due to self-weight(g)

    where L =20 m length of strut

    Axial resistance of the strut from the selected diameter

    NRd4 =563 kN, Ds = 219,1 mm , t =10 mm

    NRd4 =462 kN Ds = 219,1 mm , t =8 mm

    NRd4 =462 kN Ds = 219,1 mm , t =8 mm

    NRd4 =462 kN Ds = 219,1 mm , t =8mm

    Elastic section modulus of struts

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    Moment resistance of the struts

    , Fyd =355 MPa , =1

    =128,08 kNm =105,3 kNm =105,3 kNm =105,3 kNm

    Check the struts against buckling

    ()

    Strut Nsd Nrd Msd

    (kN/m)

    Mrd Buckling

    Check

    St.1 396 563 25,8 128,084 0,95608701

    St.2 340,2 462 20,8 105,435 0,98011949

    St.3 327 462 20,8 105,435 0,95572387

    St.4 336 462 20,8 105,435 0,97237813

    Design of wale beams

    Wale beam at the first strut level

    Fyk= 275 MPa ,= 1,25 n= 1,2 (safety class 3) ,m=1

    Condition MRd1 Msd1

    where c is spacing between struts

    where Wx1 is elastic section modulus

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    Wx1 461 cm3Wale beam at the second strut level

    Condition MRd2 Msd2

    where c is spacing between struts where Wx2 is elastic section modulus

    Wx2 396 cm3Wale beam at the third strut level

    Condition MRd3 Msd3

    Where c is spacing between struts Where Wx3 is elastic section modulus

    Wx3 380 cm3

    Wale beam at the fourth strut level

    Condition MRd4 Msd4

    where c is spacing between struts where Wx4 is elastic section modulusWx4 165 cm3

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    Design of dowels

    Sheet pile width b = 750 mm

    Dowel spacing c/c = 2*b = 1,5m

    h =d+ 60mm , where h is the effective gap and d is 0,2m (spohantboken)

    horizontal load along the toe of the wall

    qd =205,38 kn

    Horizontal force per dowel

    NSd = qd*c/c

    NSd = 205,38 * 1,5 = 308,07 kN

    Msd is bending moment in the dowel

    Msd =N*(h +0,06) ,

    Msd = 308,07 * 0,26m = 80,1kNm

    Shear force capacity of the dowel

    NRd = ((pi*d^2)/20)*fyd where d is diameter of dowel, d= 90mm

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    Fyd =fy/(m*n) fy= 355 MPa for S355

    m = 1,6 (material partial safety factor) , n=1,2

    Fyd =290,4 MPa

    NRd = 369,48 KN (shear force capacity of of dowel )

    NRd NSd OkElastic section modulus of dowel

    MRd MSd , , ,

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    Serviceability Limit State

    Analysis of the serviceability limit state design is done by finite element method software called

    PLAXIS.The deformations at each level of excavation are presented below.

    A. DeformationTable: Depth Vs Deformation

    # Excavation Stage Depth (m) Maximum

    Deformation(mm)

    1 First Excavation Level 2 36.1

    2 Second Excavation Level 4 38.23 Third Excavation Level 6 45.1

    4 Final Excavation Level 8.3 49.3

    B. Shear Forces on the Sheet Pile

    Table: Depth Vs Shear Force

    # Excavation Stage Depth (m) Maximum Shear

    Force(kN/m)

    1 First Excavation Level 2 36.6

    2 Second Excavation Level 4 72.9

    3 Third Excavation Level 6 126.2

    4 Final Excavation Level 8.3 211.2

    C. Bending Moment on the Sheet PileTable: Depth Vs Bending Moment

    # Excavation Stage Depth (m) Maximum Bending

    Moment(kN.m/m)

    1 First Excavation Level 2 76

    2 Second Excavation Level 4 156

    3 Third Excavation Level 6 277.8

    4 Final Excavation Level 8.3 443

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    Geometry

    Fig14. Geometry and Boundary conditions on PLAXIS.

    SoilSheet Pile Interface

    The interface between the soil and the sheet pile are taken by taking an interface value of 0,85 . A

    sensitivity analysis is done by changing the values of this interface values . The sensitivity analysis

    results of Rint and deformation is summarized below.

    # Rinterface Value Max. Deformation (mm)

    1. 1 48

    2. 0,9 493. 0,8 514. 0,7 51

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    Deformation

    Phase 1: Initial Excavation Cantilever Case .Depth of Excavation at 2 m from top

    Surface.

    Fig.15 Phase 1 , Cantilever Case , Depth of excavation 2 m , Max. Horizontal Deformation = 36.1 mm

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    Phase 2 Second Excavation Stage After installation of strut -2 at 3 m from top

    surface. Depth of excavation at 4 m from top surface.

    Fig.16 Phase 2 , Second Excavation , Depth of excavation 4 m , Max. Horizontal Deformation = 38.2 mm

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    Phase 3 Third Excavation Stage After installation of strut -3 at 3 m from top

    surface. Depth of excavation at 6 m from top surface.

    Fig17. Phase 3 , Third Excavation , Depth of excavation 6 m , Max. Horizontal Deformation = 45.1 mm

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    Phase 4 Final Excavation Stage After installation of strut -4 at 7 m from top

    surface. Depth of excavation at 8.3 m from top surface.

    Fig.18 Phase 4 , Final Excavation , Depth of excavation 8.3 m , Max. Horizontal Deformation = 49.3 mm

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    Deformed Mesh Diagrams

    Initial Excavation Stage Cantilever Depth at 2 m from top surface.

    Fig.19 Initial Excavation , Depth of excavation 2 m , Max. Horizontal Deformation = 36.1 mm

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    Second Excavation Stage After installation of strut -1 at 1 m from top surface.

    Depth of excavation at 4 m from top surface

    Fig.20 Second Excavation , Depth of excavation 4 m , Max. Horizontal Deformation = 38.2 mm

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    Second Excavation Stage After installation of strut -2 at 3 m from top surface.

    Depth of excavation at 4 m from top surface

    Fig.21 Second Excavation , Depth of excavation 4 m , Max. Horizontal Deformation = 38.2 mm

    (Installation of strut 2)

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    Third Excavation Stage After installation of strut -2 at 3 m from top surface. Depth

    of excavation at 6 m from top surface.

    Fig.22 Third Excavation , Depth of excavation 6 m , Max. Horizontal Deformation = 45.1 mm

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    Third Excavation Stage The installation of strut -3 at 5 m from top surface. Depth

    of excavation at 6 m from top surface

    Fig.23 Third Excavation , Depth of excavation 6 m , Max. Horizontal Deformation = 45.1 mm

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    Final Excavation Stage The installation of strut -4 at 7 m from top surface. Depth of

    excavation at 8.3 m from top surface

    Fig.24 Final Excavation , Depth of excavation 8.3 m , Max. Horizontal Deformation = 49.5 mm

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    Sheet Pile Shear Force Diagram

    Shear for on Sheet Pile at initial Excavation Stage.

    Fig.25 Initial Excavation Shear force diagram

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    Shear Force Diagram after installation of 1st

    strut

    Fig.26 Installation of 1st

    strut Shear force diagram

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    Shear Force Diagram after installation of 3rd strut

    Fig.27 Installation of 3rd strut Shear force diagram

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    Shear Force Diagram after installation of 4th

    strut

    Fig.28 Installation of 4th

    strut Shear force diagram

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    Sheet Pile Bending Moment Diagrams

    Bending Moment Diagram Initial Excavation Stage

    Fig.29 Initial Excavation Stage Bending Moment diagram

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    Bending Moment Diagram 2nd

    Excavation Stage

    Fig.30 Second Excavation Stage Bending Moment diagram

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    Bending Moment Diagram 3rd

    Excavation Stage

    Fig.31 Third Excavation Stage Bending Moment diagram

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    Bending Moment Diagram 4th

    Excavation Stage

    Fig.32 Fourth Excavation Stage Bending Moment diagram

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    Control Program

    A Control plan is essential in such a way that the contractor will be able to know exactly where the

    sensitive locations of the project are and what he shall do when the deformation values exceed the

    alert value of 25mm. Moreover, it is essential to prescribe the steps of excavation as the load and

    deformation logically increase when the excavation go deeper.

    The following control program describes the procedures that shall take place at each level of

    progress of the construction.

    1. Driving of the Sheet Pile Wall:The temporary sheet pile wall is driven with a suitable pile driving machine to the bed rock

    level approximately 12.5 m below the ground surface. During the pile driving process care

    should be taken so that the vibration of the machine should not cause movements and

    vibrations beyond the prescribed value by the authorities.

    2. Initial Excavation ( Cantilever Stage )It was determined from the ultimate limit state design and the serviceability limit state

    design that excavating to a depth of 2 m below the surface will give deformation value less

    than the deformation limit of 50 mm in addition the total passive forces at this level are

    much bigger than the active forces which will cause rotation about the base of the sheet pile

    hence the structure is safe to excavate to this level without a strut. However to control and

    check the deformation, reflectors for total stations or bench marks are fixed at the top of the

    sheet pile . By taking measurements of this benchmark points the contractor can always

    control the deformations of the sheet pile wall.

    3. Second Excavation Level ( To a depth of 4 m)After fixing the 1st strut at a depth of 1 m below the surface, excavation is proceeded to adepth of 4 m below the surface. Suitable deformation control should be taken at the top of

    the sheet pile wall and a distance half way on the sheet pile wall by fixing reflectors or

    benchmarks. Water stored in clay pocket might present water inflow problems into the

    excavation. The bottom of the excavation level shall always be pumped dry. At this stage

    the 2nd

    strut level is fixed along with the wale beams.

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    4. Third Excavation Level ( To a depth of 6 m )The third excavation follows to a depth of 6 m. At this stage also the deformation

    measurements shall continue in the same manner as described in the above excavation stage.

    The 3rd strut is installed and the ground water at the bottom of the excavation is pumped out.If the deformation in the sheet pile exceeds 25 mm, the contractor should be alerted in that

    the use of heavier vehicles around the construction site should be restricted not to exceed the

    allowable deformation limit.

    5. Final Excavation Level (To a depth of 8.3 m)The final excavation shall be done after bracing the excavation with the 4

    thstrut at a depth

    of 7 m from the ground surface. As the deformation increases as the excavation depth is

    increased proper note shall be taken of the deformation measurement locations on the sheet

    pile and proper alert preconditions shall as well be taken if the deformation values exceedthe specified alert value of 25 mm.

    6. Installation of DowelA dowel separate drilling is done to insert the dowels at the bottom of the sheet pile wall.

    The dowels shall be adequately grouted as per the specifications. The dowels are introduced

    to partially take the large moment experienced at the bottom of the sheet pile wall.

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    List of Symbols

    Notation Definition

    v Vertical stress

    v Effective vertical stress

    U Pore water pressure

    a Active lateral earth pressure

    p Passive lateral earth pressure

    d Unit weight

    k Characteristics angle of internal friction

    d Design angle of internal friction

    Cu Characterstic Undrained shear Stregth

    Cud Design Undrained shear Stregth

    pnet Net passive pressure

    ka Coefficient of active pressure

    kp Coefficient of passive pressure

    qi Load on strut level i

    Nbud Buckling capacity of the strut

    Ncb Stability number

    Nsd i Design load on strut

    M Moment

    Msd Design moment

    fyk Characteristics yield stress of sheet pile and wale beam

    fyd Design yield stress

    q Traffic load on soil

    C Spacing between the anchors

    n Design safety class factor

    m Material factor

    Pi Pressure on area i

    As Area of strut

    Ash Area of sheet pile

    Ish Moment of inertia of sheet pile

    Is Moment of inertia of strut

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    Ek Characteristic Youngs Modulus

    Ed Design Design Youngs Modulus

    Wsh Elastic section modulus of sheet pile

    H Excavation height

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    Appendix

    References

    1. Sponthandboken -T18:19962. Lecture Notes, AF2609 Foundation engineering3. US Army of Corps Engineering Manual ,1994 ,Design of Sheet Pile Wall ,EM-1110-2-

    2504

    4. ArcelorMittal, U-shape sheet pile walls design Cross section Table,http://www.arcelormittal.com/sheetpiling/page/index/name/usections

    5. TIBNOR,Konstruktionstabeller , Steel Section Design Table,http://www.e-magin.se/v5/viewer/files/viewer_s.aspx?gKey=ndrj52ff&gInitPage=1

    6. RUUKI infrastructure solutions data sheet,http://www.ruukki.com/Products-and-solutions/Infrastructure-solutions