capwap-pdca-2011 (1)

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CAPWAP ® ® Introduction Introduction PDCA Professor’s Institute PDCA Professor’s Institute June 2011 June 2011 “ “ CAPWAP” is a registered trademark of CAPWAP” is a registered trademark of Pile Dynamics, Inc. Pile Dynamics, Inc. Garland Likins Garland Likins Pile Dynamics, Inc. Pile Dynamics, Inc.

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Transcript of capwap-pdca-2011 (1)

  • CAPWAP Introduction

    PDCA Professors Institute June 2011CAPWAP is a registered trademark of Pile Dynamics, Inc.Garland Likins Pile Dynamics, Inc.

  • PDA uses Case Method for each hammer blow Calibrate damping factor with static test, or CAPWAP CAse Pile Wave Analysis Program

    Dynamic testing and CAPWAP developed with numerous comparisons with static tests.

  • CAPWAP is a Signal Matching Program

    (System Identification; Reverse Analysis)We know both Input and Response (wave down and wave up)But we do not know the System ( static and dynamic soil model )

  • System includes Pile and SoilDriven Pile properties are known. Soil parameters must be determined.

    Input into CAPWAP program includes: Measured force and velocity versus time Pile properties (known for driven piles) Penetration (embedment depth) Set per blow (or Blow count) difficult to assess super-accurately

  • CAPWAP METHOD1 Set up pile model and assume Rshaft and RtoeRshaftRtoe5 Go to Step 24 Adjust Rshaft and Rtoe3 Compare Fc with measured Fm2 Apply one measured curve (vm) Calculate complementary Fc vmFcFm

  • THE CAPWAP METHOD1 Set up pile and soil model and assume Rshaft and RtoeRshaftRtoe5 If not satisfactory match: Go to Step 24 Adjust Rshaft and Rtoe3 Compare WUC with measured WUM2 Apply measured WDM to pile model at top and calculate complementary WUCWUMWDMWUC

  • THE CAPWAP METHOD1 Set up pile and soil model and assume Rshaft and RtoeRshaftRtoe5 If not satisfactory match: Go to Step 24 Adjust Rshaft and Rtoe3 Compare WUC with measured WUM2 Apply measured WDM to pile model at top and calculate complementary WUCWUMWDMWUC

  • First try (poor) Final match (good)Adjustments.. is an iterative processCAPWAPCAPWAP match can be obtained by computer in fully automatic way!

  • The Pile ModelThe Pile is divided in Np uniform pile segments of approximately 1 m length.Segment lengths are chosen for equal time incrementt = Li/ci. Each Segment has:impedance Zi,,= EiAi/ci ,mass mi = Zi t andstiffness ki = Zi/t .

  • The Pile Model Zi-1 Zi+1 ZiLiThe Pile is divided in Npuniform pile segmentsof approx. 1 m length.

    t =Li/ciThe Wave travel time, t, is the same in all segments (.2 to .25 ms)Each segment has impedance Zi = EiAi/ci and wave speed ci

  • The CAPWAP Soil ModelSoil segment length ~2 m( resolution of the data itself )Spring (static resistance)Dashpot (dynamic resist)Pile segment length ~ 1 m

  • Rui, qiRt, qtJiJTmPLShaft Resistance, Ns timestGRNsRNs-1TheCAPWAP Soil ResistanceModel

  • mtRui, qiRt, qtJiJTJSKJBTAdd: Radiation Damping

    Add: Shaft soil plugtGmsSome CAPWAP Soil ModelExtensionsMass ms related to circumference Damper Jsk related to soil strength

  • qiRuiqiRsiui-RuiRecommended Shaft Quake:0.1 inch, 2.5 mmStatic Shaft ResistancequakeWave Equation model

  • Static Shaft Resistance ModelRsRs

  • Static Toe ResistanceWave Equation modelSuggested Toe Quakes:D/120: dense/hard soilD/60: soft/loose soil 0.1 inch: open sections0.04 inch: hard rock

  • dCAPWAP Static Toe Resistance ModelToe gap: tgRt

  • Viscous (Option=0)Rd = JC Z v = RUJS v

    Js = Jc Z/RU Combined (Option=2)Rd = RS JS v until RS = RU

    Rd = RU JS v after RU is achievedCAPWAP Damping ModelSmith (Option=1)Rd = RS JS vSmith (Option: OP1 or OP2)Often with large toe quake

  • Viscous (Option=0)Rd = JC Z v = RU JS v

    Js = Jc Z/RU Combined (Option=2)Rd = RS JS v until RS = RU

    Rd = RU JS v after RU is achievedCAPWAP Damping ModelSmith (Option=1)Rd = RS(t) JS vSmith (Option: OP1 or OP2)Often with large toe quake

  • General CAPWAP Unknowns

    Ji:NS values at shaft +1 value at toeqi:NS values at shaft +1 value at toe1 shaft + 1 toe unloading quake multiplier1 shaft unloading level + 1 toe plug + 1 toe gap1 toe damping option + 4 rad. damping valuesTotal 3 NS + 13 unknowns For 20 m pile penetration: 43 unknowns Major Trimming Parameters

  • Normal CAPWAP UnknownsMain ParametersRui:NS values at shaft +1 value at toeJi: 1 value at shaft +1 value at toeqi:Loading - 1 value at shaft +1 value at toeMajor Trimming ParametersTotal NS + 9 (or 11) unknowns For 20 m (66 ft) penetration: 19 or 21 unknowns 1 shaft + 1 toe unloading quake multiplier1 shaft unloading level + 1 toe plug + 1 toe gap1 toe damping option + 2 rad. damping values

  • CAPWAP Record Divisions

  • Match Quality Time periodsShaft Res. Distr. developsToe Res. and total Capacity developsUnloading develops

  • CAPWAP Match Quality

  • An Example CAPWAP

  • First Trial Analysis (Lousy Match)Input FMatching F Input FMatching v orInput vMatching For ( Best: apply inputs, calculate reflections )

  • Working with Wave-UpRU = 782 kipsRT = 68 kipsJS/JT = .05/.15 s/ft(JCS/JCT = .75/.22)QS/QT = .10/.12RU = 782 kipsRT = 400 kips(raise toe bearing)RU/RT = 765/686 kipsJS/JT = .26/.07 s/ft(JCS/JCT = .44/.97)QS/QT = .06/.12Unloading ParametersPretty good match: lets quit

  • Plotted Output

  • Table Output

  • Table OutputCase MethodExtrema

  • Record Adjustment: Use PDA-W/CWProportionality and Integration

  • First Trial Analysis: Ru = Case MethodJ=0.16/0.5 s/m; qs=2.5 mm; qt=D/120; Ri automatic

  • 2. Determine resistance distribution from difference between calculated and measured wave-up

  • Determine resistance distribution from difference between calculated and measured wave-upChanged 3: 163 to 1004: 218 to 1005: 273 to 100

  • Determine resistance distribution from difference between calculated and measured wave-up

  • Determine resistance distribution from difference between calculated and measured wave-upUsed Further Manual Improvements

  • Adjust CAPWAP variables

  • Iterate for total capacity, CAPWAP Variables, damping mode, toe resistance magnitude

  • CAPWAP Help FeaturesHCCAPWAP Variable Help

    HRCAPWAP Resistancevs Displacement Help

    HMCAPWAP Match suggestions

  • CAPWAP Static Analysis OptionsSmoothingUser CapacityUplift TestExtrapolation

  • Why all that calculation?

    Why not just plot Measured Force vsMeasured Displacement?

    Because records include mass and dynamic resistance (damping) effects besides Static resistance effects

  • We could plot Measured Force vs Measured Displacement, but

  • . The results would be meaningless, because the measured dynamic quantities (F and V) include:Impact and wave effectsStatic resistance effectsDynamic resistance effects

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    -50.005896

    -53.155874

    -51.580885

    -50.005896

    -52.630877

    -52.630877

    -51.580885

    -53.155874

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    -54.205866

    -53.155874

    -53.68087

    -51.055889

    -50.005896

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    -50.530892

    -49.4809

    -50.005896

    -51.055889

    -52.105881

    -53.68087

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    -50.005896

    -51.055889

    -51.055889

    -51.580885

    -52.630877

    -53.68087

    -52.630877

    -52.630877

    -53.155874

    -52.105881

    -51.580885

    -52.630877

    -52.630877

    -52.630877

    -53.68087

    -54.205866

    -53.155874

    -53.155874

    -55.255859

    -56.830848

    -57.88084

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    -61.555814

    -61.555814

    -59.455829

    -56.830848

    -54.730863

    -52.105881

    -50.005896

    -49.4809

    -51.055889

    -52.105881

    -52.630877

    -54.730863

    -57.88084

    -58.405837

    -58.930833

    -59.455829

    -57.355844

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    -53.155874

    -53.68087

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    -52.630877

    -52.630877

    -54.205866

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    -54.205866

    -54.730863

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    -53.68087

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    -54.730863

    -55.780855

    -57.355844

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    -58.930833

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    -59.455829

    -59.980825

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    -58.930833

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    -58.405837

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    -56.830848

    -56.305851

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    -56.830848

    -56.305851

    -56.305851

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    -56.830848

    -56.830848

    -56.305851

    -55.780855

    -57.355844

    -58.930833

    -58.930833

    -60.505822

    -65.755785

    -67.85577

    -68.905762

    -69.955755

    -72.05574

    -73.630729

    -75.205718

    -74.155725

    -74.155725

    -74.680721

    -73.630729

    -72.05574

    -70.480751

    -69.430759

    -67.85577

    -66.805777

    -65.755785

    -64.180796

    -63.655799

    -63.130803

    -62.605807

    -61.030818

    -61.030818

    -60.505822

    -59.980825

    -60.505822

    -60.505822

    F kN

    Pile top displacement in mm

    Pile top force in kN

    Sheet1

    Project:EX17; CL-SA > LIMESTONE

    Pile name:EX-17

    Description:VUL06 10.75x0.25"CEP

    Operator:

    Print Comment:

    LE:23.56104meters

    AR:53.290216cm^2

    EM:206842.683316MPa

    SP:77.287019kN/meter^3

    WS:5123.688meters/second

    WC:5121.965217meters/second

    JC:0.5[]

    FMX:1267.734777kN

    VMX:4.120867meters/second

    DMX:24.844722mm

    DFN:0.895492mm

    TSN:0MPa

    TSX:29.006076MPa

    EMX:14.605177kN-meters

    STK:0.866493meters

    BPM:67.873303blows/minute

    RecordTimeFVWUD

    SecondskNmeters/secondkNmm

    00-0.1312490-0.0656250

    10.0001-0.131249-0.0023740.1897430

    20.0002-0.131249-0.0023740.189743-0.000237

    30.00030.39374700.196874-0.000475

    40.00040.39374700.196874-0.000475

    50.0005-0.656245-0.002374-0.072756-0.000475

    60.0006-0.1312490.002374-0.320992-0.000712

    70.00070.39374700.196874-0.000475

    80.00080.3937470.002374-0.058493-0.000475

    90.00090.3937470.002374-0.058493-0.000237

    100.0010.9187430.0023740.2040050

    110.00110.9187430.004748-0.0513620.000237

    120.00120.3937470.002374-0.0584930.000712

    130.00130.3937470.004748-0.3138610.00095

    140.00140.3937470.004748-0.3138610.001424

    150.00150.3937470.002374-0.0584930.001899

    160.00160.3937470.002374-0.0584930.002137

    170.00170.3937470.004748-0.3138610.002374

    180.00180.3937470.004748-0.3138610.002849

    190.00190.9187430.007122-0.306730.003324

    200.0020.3937470.007122-0.5692280.004036

    210.00210.9187430.007122-0.306730.004748

    220.00220.9187430.007122-0.306730.00546

    230.00230.3937470.004748-0.3138610.006173

    240.00240.9187430.007122-0.306730.006647

    250.00250.3937470.007122-0.5692280.00736

    260.00260.3937470.007122-0.5692280.008072

    270.00271.443740.009496-0.2995980.008784

    280.00280.3937470.007122-0.5692280.009734

    290.00290.9187430.009496-0.5620970.010446

    300.0030.3937470.007122-0.5692280.011395

    310.00310.9187430.009496-0.5620970.012108

    320.00320.9187430.009496-0.5620970.013057

    330.00330.9187430.009496-0.5620970.014007

    340.00340.9187430.009496-0.5620970.014957

    350.0035-0.1312490.009496-1.0870930.015906

    360.00360.3937470.01187-1.0799620.016856

    370.00370.3937470.01187-1.0799620.018043

    380.00380.3937470.01187-1.0799620.01923

    390.00390.3937470.01187-1.0799620.020417

    400.0040.3937470.01187-1.0799620.021604

    410.00410.3937470.01187-1.0799620.022791

    420.00420.3937470.014244-1.3353290.023978

    430.00430.3937470.01187-1.0799620.025402

    440.00440.3937470.014244-1.3353290.026589

    450.00450.9187430.014244-1.0728310.028014

    460.00460.3937470.014244-1.3353290.029438

    470.00470.3937470.014244-1.3353290.030863

    480.0048-0.1312490.014244-1.5978270.032287

    490.00490.3937470.016618-1.5906960.033712

    500.0051.443740.014244-0.8103330.035373

    510.00510.9187430.014244-1.0728310.036798

    520.00520.3937470.016618-1.5906960.038222

    530.00531.443740.016618-1.06570.039884

    540.00541.443740.016618-1.06570.041546

    550.00551.443740.018992-1.3210670.043208

    560.00560.9187430.018992-1.5835650.045107

    570.00571.443740.016618-1.06570.047006

    580.00580.9187430.014244-1.0728310.048668

    590.00591.9687360.018992-1.0585690.050092

    600.0061.9687360.018992-1.0585690.051992

    610.00611.443740.016618-1.06570.053891

    620.00621.443740.016618-1.06570.055553

    630.00631.443740.018992-1.3210670.057215

    640.00641.443740.018992-1.3210670.059114

    650.00651.443740.018992-1.3210670.061013

    660.00661.9687360.018992-1.0585690.062912

    670.00671.443740.021366-1.5764340.064812

    680.00681.9687360.018992-1.0585690.066948

    690.00691.9687360.021366-1.3139360.068847

    700.0071.9687360.021366-1.3139360.070984

    710.00711.9687360.018992-1.0585690.073121

    720.00721.443740.021366-1.5764340.07502

    730.00731.9687360.021366-1.3139360.077157

    740.00741.9687360.023741-1.5693030.079293

    750.00751.443740.021366-1.5764340.081667

    760.00761.9687360.023741-1.5693030.083804

    770.00771.443740.023741-1.8318010.086178

    780.00781.443740.023741-1.8318010.088552

    790.00791.443740.021366-1.5764340.090926

    800.0081.9687360.021366-1.3139360.093063

    810.00811.443740.023741-1.8318010.095199

    820.00821.443740.023741-1.8318010.097573

    830.00831.9687360.026115-1.824670.099948

    840.00842.4937320.026115-1.5621720.102559

    850.00851.9687360.026115-1.824670.10517

    860.00861.9687360.026115-1.824670.107782

    870.00872.4937320.028489-1.8175390.110393

    880.00882.4937320.026115-1.5621720.113242

    890.00892.4937320.028489-1.8175390.115854

    900.0092.4937320.030863-2.0729060.118703

    910.00912.4937320.030863-2.0729060.121789

    920.00922.4937320.028489-1.8175390.124875

    930.00932.4937320.028489-1.8175390.127724

    940.00943.0187290.030863-1.8104080.130573

    950.00953.0187290.030863-1.8104080.133659

    960.00963.0187290.030863-1.8104080.136745

    970.00973.5437250.033237-1.8032770.139832

    980.00983.5437250.033237-1.8032770.143155

    990.00993.5437250.033237-1.8032770.146479

    1000.013.5437250.030863-1.547910.149803

    1010.01013.0187290.035611-2.3211420.152889

    1020.01024.0687210.035611-1.7961460.15645

    1030.01033.5437250.033237-1.8032770.160011

    1040.01044.0687210.033237-1.5407790.163335

    1050.01054.0687210.035611-1.7961460.166658

    1060.01064.0687210.035611-1.7961460.170219

    1070.01074.0687210.035611-1.7961460.17378

    1080.01084.0687210.037985-2.0515130.177342

    1090.01094.0687210.037985-2.0515130.18114

    1100.0114.0687210.035611-1.7961460.184939

    1110.01114.0687210.035611-1.7961460.1885

    1120.01124.5937170.037985-1.7890150.192061

    1130.01134.0687210.037985-2.0515130.195859

    1140.01143.5437250.037985-2.3140110.199658

    1150.01154.5937170.037985-1.7890150.203456

    1160.01164.0687210.037985-2.0515130.207255

    1170.01174.0687210.040359-2.306880.211053

    1180.01184.5937170.037985-1.7890150.215089

    1190.01194.0687210.040359-2.306880.218887

    1200.0124.5937170.040359-2.0443820.222923

    1210.01214.0687210.037985-2.0515130.226959

    1220.01224.5937170.042733-2.2997490.230758

    1230.01234.5937170.040359-2.0443820.235031

    1240.01244.5937170.040359-2.0443820.239067

    1250.01254.5937170.040359-2.0443820.243103

    1260.01264.5937170.042733-2.2997490.247139

    1270.01275.1187140.040359-1.7818840.251412

    1280.01284.5937170.042733-2.2997490.255448

    1290.01295.643710.045107-2.030120.259721

    1300.0135.1187140.045107-2.2926180.264232

    1310.01315.1187140.045107-2.2926180.268743

    1320.01326.1687060.045107-1.7676210.273253

    1330.01335.1187140.047481-2.5479850.277764

    1340.01345.643710.047481-2.2854870.282512

    1350.01355.643710.047481-2.2854870.28726

    1360.01365.643710.047481-2.2854870.292008

    1370.01375.643710.047481-2.2854870.296756

    1380.01385.643710.045107-2.030120.301504

    1390.01396.1687060.045107-1.7676210.306015

    1400.0146.1687060.047481-2.0229890.310526

    1410.01416.1687060.047481-2.0229890.315274

    1420.01425.643710.047481-2.2854870.320022

    1430.01436.1687060.047481-2.0229890.32477

    1440.01446.6937030.045107-1.5051230.329518

    1450.01456.1687060.047481-2.0229890.334029

    1460.01466.6937030.049855-2.0158570.338777

    1470.01477.2186990.049855-1.7533590.343763

    1480.01486.6937030.049855-2.0158570.348748

    1490.01496.6937030.052229-2.2712250.353734

    1500.0157.2186990.049855-1.7533590.358956

    1510.01517.2186990.049855-1.7533590.363942

    1520.01526.6937030.052229-2.2712250.368927

    1530.01537.2186990.052229-2.0087260.37415

    1540.01546.6937030.052229-2.2712250.379373

    1550.01556.6937030.052229-2.2712250.384596

    1560.01567.2186990.052229-2.0087260.389819

    1570.01577.2186990.052229-2.0087260.395042

    1580.01587.7436950.052229-1.7462280.400265

    1590.01596.6937030.052229-2.2712250.405488

    1600.0167.7436950.054603-2.0015950.410711

    1610.01617.7436950.054603-2.0015950.416171

    1620.01628.2686910.054603-1.7390970.421631

    1630.01637.2186990.054603-2.2640940.427092

    1640.01647.7436950.054603-2.0015950.432552

    1650.01658.2686910.054603-1.7390970.438012

    1660.01667.7436950.054603-2.0015950.443473

    1670.01678.7936880.056977-1.7319660.448933

    1680.01688.7936880.054603-1.4765990.454631

    1690.01698.2686910.054603-1.7390970.460091

    1700.0178.2686910.054603-1.7390970.465551

    1710.01718.7936880.054603-1.4765990.471012

    1720.01728.7936880.054603-1.4765990.476472

    1730.01739.3186840.056977-1.4694680.481932

    1740.01749.3186840.056977-1.4694680.48763

    1750.01759.3186840.059351-1.7248350.493328

    1760.01769.3186840.056977-1.4694680.499263

    1770.01779.843680.056977-1.206970.504961

    1780.017810.3686770.056977-0.9444720.510658

    1790.017910.3686770.059351-1.1998390.516356

    1800.01810.3686770.056977-0.9444720.522291

    1810.018110.3686770.059351-1.1998390.527989

    1820.018210.8936730.059351-0.9373410.533924

    1830.018310.3686770.059351-1.1998390.539859

    1840.018410.8936730.059351-0.9373410.545794

    1850.018510.8936730.064099-1.4480750.551729

    1860.018611.4186690.059351-0.6748430.558139

    1870.018711.4186690.061725-0.930210.564074

    1880.018811.9436650.064099-0.9230790.570247

    1890.018912.4686620.061725-0.4052130.576657

    1900.01914.0436510.068847-0.383820.582829

    1910.019116.6686320.075970.1625690.589714

    1920.019220.3436060.0902140.4678540.597311

    1930.019326.1185650.111581.057030.606332

    1940.019436.0934950.1519391.7032540.617491

    1950.019550.793390.2065423.1797590.632684

    1960.019670.2182530.2825124.7204430.653339

    1970.0197100.1430410.3940927.6805840.68159

    1980.0198146.3427140.56739812.1386240.720999

    1990.0199204.0923050.81429914.4552430.777739

    2000.02268.6668481.09677116.3581750.859169

    2010.0201343.7413171.42197518.9144630.968846

    2020.0202419.8657781.78041718.4206071.111044

    2030.0203507.0151612.16022421.1409091.289085

    2040.0204605.1894662.58039125.0324321.505108

    2050.0205684.4639052.98156521.5169581.763147

    2060.0206755.3384043.30914421.7178942.061303

    2070.0207815.7129763.58924121.7762082.392218

    2080.0208856.6626873.81236218.2509012.751142

    2090.0209879.2375273.95001614.7313743.132378

    2100.021891.8374384.0686788.2673193.527379

    2110.0211902.3373634.1208677.903553.934247

    2120.0212887.6374674.0923383.6223514.346334

    2130.0213864.5376314.078053-6.391024.755568

    2140.0214842.4877873.999669-8.9844845.163373

    2150.0215834.0878463.892797-1.6885925.56334

    2160.0216807.8380323.781176-2.8069025.95262

    2170.0217775.8132593.638692-3.4929196.330737

    2180.0218739.5885153.505705-7.300396.694607

    2190.0219711.7637123.365596-6.141797.045177

    2200.022682.363923.234983-6.7921527.381737

    2210.0221655.0641133.101995-6.1371557.705235

    2220.0222625.6643222.96426-6.0214168.015434

    2230.0223605.7144632.838395-2.4575468.311861

    2240.0224575.7896752.714904-4.1365078.5957

    2250.0225547.4398752.598535-5.7940768.86719

    2260.0226524.3400392.496411-6.3588659.127044

    2270.0227505.9651692.394286-4.5611729.376685

    2280.0228487.0653032.30878-4.8135469.616114

    2290.0229463.440472.230396-8.1945049.846992

    2300.023452.4155482.15676-5.78624110.070031

    2310.0231442.4406182.097368-4.38518510.285707

    2320.0232430.89072.047473-4.79309110.495444

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    8390.0839-52.105881-0.025846-23.2727591.602627

    8400.084-52.630877-0.040131-21.9987111.600043

    8410.0841-54.730863-0.052042-21.7675241.59603

    8420.0842-57.88084-0.05683-22.8274351.590826

    8430.0843-58.405837-0.052122-23.5963231.585143

    8440.0844-58.930833-0.054537-23.599111.57993

    8450.0845-59.455829-0.045081-24.8787331.574477

    8460.0846-57.355844-0.040373-24.335131.569969

    8470.0847-55.255859-0.040414-23.2807941.565931

    8480.0848-53.155874-0.040454-22.2264571.56189

    8490.0849-53.68087-0.040494-22.4846111.557844

    8500.085-52.630877-0.038161-22.2106381.553795

    8510.0851-52.630877-0.047697-21.1848251.549979

    8520.0852-52.630877-0.052486-20.6697471.545209

    8530.0853-54.205866-0.0549-21.1975311.539961

    8540.0854-54.730863-0.064437-20.4342161.534471

    8550.0855-53.155874-0.066851-19.3870111.528027

    8560.0856-54.205866-0.069266-19.6522961.521342

    8570.0857-55.255859-0.07168-19.9175811.514415

    8580.0858-54.205866-0.076469-18.8775071.507247

    8590.0859-54.730863-0.081257-18.6249271.4996

    8600.086-54.730863-0.083672-18.3652151.491475

    8610.0861-53.68087-0.08846-17.3251411.483107

    8620.0862-53.68087-0.090874-17.065431.474261

    8630.0863-55.255859-0.090915-17.848581.465174

    8640.0864-55.255859-0.095703-17.3335021.456082

    8650.0865-54.730863-0.095744-17.066661.446512

    8660.0866-55.780855-0.098158-17.3319451.436938

    8670.0867-57.355844-0.095825-18.3704621.427122

    8680.0868-57.88084-0.095865-18.6286171.417539

    8690.0869-58.930833-0.093531-19.4046361.407953

    8700.087-59.455829-0.091198-19.9181571.3986

    8710.0871-59.455829-0.088864-20.169181.38948

    8720.0872-59.980825-0.084156-20.9380681.380594

    8730.0873-59.980825-0.086571-20.6783571.372178

    8740.0874-59.980825-0.081863-21.1847471.363521

    8750.0875-59.980825-0.077155-21.6911381.355335

    8760.0876-59.455829-0.074822-21.6796631.347619

    8770.0877-58.930833-0.072488-21.6681871.340137

    8780.0878-57.88084-0.070154-21.3942141.332888

    8790.0879-57.88084-0.070195-21.389871.325873

    8800.088-56.830848-0.067861-21.1158971.318853

    8810.0881-56.305851-0.065527-21.1044221.312067

    8820.0882-55.780855-0.065568-20.837581.305515

    8830.0883-57.88084-0.067982-21.6278611.298958

    8840.0884-57.355844-0.065648-21.6163861.29216

    8850.0885-56.830848-0.065689-21.3495441.285595

    8860.0886-56.830848-0.065729-21.34521.279026

    8870.0887-57.355844-0.06577-21.6033541.272453

    8880.0888-55.255859-0.06581-20.5490171.265876

    8890.0889-55.255859-0.06585-20.5446731.259295

    8900.089-56.305851-0.065891-21.0653261.25271

    8910.0891-55.780855-0.065931-20.7984831.246121

    8920.0892-55.255859-0.065971-20.5316411.239528

    8930.0893-55.780855-0.066012-20.7897951.232931

    8940.0894-55.255859-0.063678-20.778321.226329

    8950.0895-53.155874-0.063719-19.7239841.219962

    8960.0896-53.155874-0.063759-19.719641.21359

    8970.0897-54.205866-0.063799-20.2402921.207214

    8980.0898-53.68087-0.066214-19.7180831.200834

    8990.0899-54.730863-0.068628-19.9833681.194213

    9000.09-55.255859-0.071043-19.9861551.18735

    9010.0901-55.780855-0.078205-19.4782081.180245

    9020.0902-55.780855-0.082994-18.9631291.172425

    9030.0903-55.780855-0.085408-18.7034181.164126

    9040.0904-55.255859-0.092571-17.6704751.155585

    9050.0905-56.830848-0.094985-18.1982581.146328

    9060.0906-57.355844-0.095025-18.4564121.136829

    9070.0907-57.355844-0.099814-17.9413341.127327

    9080.0908-57.88084-0.099854-18.1994881.117345

    9090.0909-57.88084-0.097521-18.4505111.10736

    9100.091-57.355844-0.099935-17.9283021.097608

    9110.0911-58.405837-0.10235-18.1935871.087614

    9120.0912-57.88084-0.100016-18.1821121.077379

    9130.0913-57.88084-0.097682-18.4331351.067378

    9140.0914-57.88084-0.100097-18.1734241.057609

    9150.0915-59.980825-0.100137-19.2190731.0476

    9160.0916-59.980825-0.097803-19.4700961.037586

    9170.0917-58.930833-0.100218-18.6853881.027806

    9180.0918-58.405837-0.097884-18.6739131.017784

    9190.0919-57.88084-0.09555-18.6624381.007996

    9200.092-57.355844-0.095591-18.3955960.998441

    9210.0921-57.88084-0.093257-18.9091170.988881

    9220.0922-57.88084-0.090924-19.160140.979556

    9230.0923-57.88084-0.083842-19.9218970.970463

    9240.0924-58.405837-0.081508-20.4354180.962079

    9250.0925-56.830848-0.079174-19.8989470.953928

    9260.0926-56.305851-0.076841-19.8874720.946011

    9270.0927-55.780855-0.074507-19.8759970.938327

    9280.0928-56.305851-0.072173-20.3895180.930876

    9290.0929-55.780855-0.072214-20.1226760.923659

    9300.093-56.830848-0.072254-20.6433280.916437

    9310.0931-57.88084-0.067546-21.6747150.909212

    9320.0932-57.355844-0.065213-21.663240.902457

    9330.0933-56.305851-0.062879-21.3892660.895936

    9340.0934-56.305851-0.060545-21.6402890.889648

    9350.0935-57.355844-0.053464-22.9270430.883594

    9360.0936-58.405837-0.048756-23.9584290.878247

    9370.0937-58.405837-0.036926-25.2309210.873372

    9380.0938-59.455829-0.029844-26.5176740.869679

    9390.0939-58.405837-0.022763-26.7544350.866695

    9400.094-57.88084-0.018055-26.9983270.864418

    9410.0941-57.355844-0.013347-27.2422190.862613

    9420.0942-57.355844-0.011014-27.4932420.861278

    9430.0943-56.305851-0.00868-27.2192690.860177

    9440.0944-56.830848-0.003972-27.9881570.859309

    9450.0945-57.88084-0.004013-28.5088090.858912

    9460.0946-57.355844-0.001679-28.4973340.85851

    9470.0947-57.88084-0.001719-28.7554880.858342

    9480.0948-57.88084-0.00176-28.7511440.85817

    9490.0949-57.88084-0.0018-28.74680.857995

    9500.095-58.405837-0.00184-29.0049550.857815

    9510.0951-58.9308330.000493-29.5184760.85763

    9520.0952-58.4058370.002827-29.5070010.85768

    9530.0953-57.880840.007535-29.7508930.857963

    9540.0954-59.4558290.00512-30.2786760.858716

    9550.0955-58.9308330.007454-30.2672010.859228

    9560.0956-57.880840.007413-29.7378610.859973

    9570.0957-58.9308330.007373-30.2585130.860715

    9580.0958-58.4058370.012081-30.5024050.861452

    9590.0959-57.3558440.009666-29.7176970.86266

    9600.096-57.880840.014374-30.4865860.863627

    9610.0961-58.9308330.016708-31.2626050.865064

    9620.0962-57.3558440.016667-30.4707670.866735

    9630.0963-56.3058510.014253-29.6860590.868402

    9640.0964-57.880840.014213-30.469210.869827

    9650.0965-56.8308480.011798-29.6845020.871248

    9660.0966-56.8308480.011758-29.6801580.872428

    9670.0967-56.8308480.014091-29.9311810.873604

    9680.0968-56.8308480.014051-29.9268370.875013

    9690.0969-56.8308480.011637-29.6671260.876418

    9700.097-56.3058510.011596-29.4002840.877582

    9710.0971-57.3558440.009182-29.6655690.878741

    9720.0972-56.8308480.006767-29.143360.87966

    9730.0973-56.3058510.004353-28.621150.880336

    9740.0974-56.3058510.006687-28.8721730.880772

    9750.0975-56.3058510.006646-28.8678290.88144

    9760.0976-56.3058510.006606-28.8634850.882105

    9770.0977-56.3058510.006565-28.8591410.882765

    9780.0978-56.8308480.001777-28.6065610.883422

    9790.0979-57.3558440.001737-28.8647150.8836

    9800.098-56.3058510.001696-28.3353750.883773

    9810.0981-57.3558440.001656-28.8560270.883943

    9820.0982-56.830848-0.000759-28.3338180.884109

    9830.0983-56.3058510.001575-28.3223430.884033

    9840.0984-56.8308480.003909-28.8358640.88419

    9850.0985-56.8308480.003868-28.831520.884581

    9860.0986-56.3058510.003828-28.5646780.884968

    9870.0987-57.3558440.001413-28.8299630.885351

    9880.0988-56.8308480.001373-28.5631210.885492

    9890.0989-56.8308480.001333-28.5587770.885629

    9900.099-56.8308480.001292-28.5544330.885763

    9910.0991-56.3058510.003626-28.5429580.885892

    9920.0992-55.7808550.001212-28.0207490.886254

    9930.0993-57.3558440.001171-28.8038990.886376

    9940.0994-58.9308330.001131-29.5870490.886493

    9950.0995-58.930833-0.001284-29.3273380.886606

    9960.0996-60.505822-0.001324-30.1104890.886477

    9970.0997-65.7557850.00101-32.9864930.886345

    9980.0998-67.855770.000969-34.0321420.886446

    9990.0999-68.905762-0.001445-34.2974270.886543

    10000.1-69.9557550.000888-35.0734460.886398

    10010.1001-72.055740.003222-36.3744620.886487

    10020.1002-73.630729-0.001566-36.6468780.886809

    10030.1003-75.2057180.000767-37.6853950.886653

    10040.1004-74.1557250.000727-37.1560550.886729

    10050.1005-74.1557250.003061-37.4070780.886802

    10060.1006-74.6807210.00302-37.6652320.887108

    10070.1007-73.6307290.00298-37.1358920.88741

    10080.1008-72.055740.005313-36.5994210.887708

    10090.1009-70.4807510.005273-35.8075820.88824

    10100.101-69.4307590.007607-35.5336090.888767

    10110.1011-67.855770.005192-34.4864030.889528

    10120.1012-66.8057770.005152-33.9570630.890047

    10130.1013-65.7557850.007486-33.683090.890562

    10140.1014-64.1807960.007445-32.8912510.891311

    10150.1015-63.6557990.005031-32.3690420.892055

    10160.1016-63.1308030.007364-32.3575670.892558

    10170.1017-62.6058070.007324-32.0907250.893295

    10180.1018-61.0308180.007284-31.2988860.894027

    10190.1019-61.0308180.002495-30.7838080.894755

    10200.102-60.5058220.002455-30.5169660.895005

    10210.1021-59.9808250.002414-30.2501240.89525

    10220.1022-60.5058220-30.2529110.895492

    10230.1023-60.5058220.002334-30.5039340.895492

    Sheet1

    F kN

    Pile top displacement in mm

    Pile top force in kN

    Sheet2

    Sheet3

  • We could do the following: (1) Plot F(t), v(t)*Z

    Chart1

    0.0869720

    -0.2609170.083240108

    -0.2609170.1665233457

    0.4348620.2497634537

    0.4348620.3330466913

    0.4348620.7615391646

    0.4348620.8447792726

    0.0869720.582810145

    0.7827521.0113026183

    0.7827520.7493334907

    0.7827521.1778259639

    0.7827521.261066072

    1.1306411.3443493096

    1.1306411.4275894176

    1.4785311.5108726553

    1.4785311.5941127633

    1.4785311.6773960009

    1.4785311.760636109

    1.8264211.8439193466

    1.8264212.2723686903

    2.174312.3556519279

    2.52222.4388920359

    2.52222.8673845092

    2.52222.9506677468

    2.52223.0339078548

    2.870093.1171910925

    2.870093.2004312005

    3.2179793.2837144381

    3.2179793.3669545462

    3.5658693.4501946542

    3.5658693.8786871274

    3.9137594.3071796007

    3.9137594.0452104731

    4.2616484.1284937107

    4.6095384.556986184

    4.2616484.640226292

    4.6095385.0687187653

    4.9574285.1520020029

    5.3053175.2352421109

    5.3053174.9732729834

    5.6532075.7469746922

    5.6532075.8302579298

    6.0010975.5682888023

    6.0010975.9967812755

    6.3489866.0800213835

    6.3489866.5085138568

    7.0447666.93700633

    7.3926557.0202895677

    7.7405457.1035296757

    7.7405457.5320221489

    7.7405457.2700530214

    8.0884358.0437547302

    8.4363248.1270379678

    8.4363248.2102780759

    9.1321048.6387705491

    9.4799939.0672630224

    9.8278839.4957554956

    10.1757739.5790387332

    10.8715529.6622788413

    10.8715529.7455620789

    11.21944210.1740545522

    11.91522110.947756261

    12.26311111.3762487343

    12.9588911.8047412075

    13.3067811.5427720799

    13.65466912.3164737888

    14.00255912.744966262

    14.35044913.1734587353

    15.04622813.6019512085

    15.04622814.0304436817

    16.08989714.458936155

    16.78567614.8874286282

    17.13356615.6611734667

    18.17723516.0896659399

    18.52512516.8633676488

    19.22090417.291860122

    19.91668318.0656049605

    20.61246318.4940974337

    21.30824219.2677991426

    22.35191119.6962916158

    23.0476920.4700364543

    24.09135921.2437381631

    24.78713822.0174830016

    25.48291822.7911847104

    26.87447623.9101387845

    27.57025624.6838836229

    28.61392525.802837697

    29.65759426.5765394059

    30.70126327.6954934799

    32.09282128.4692383184

    32.78860129.933401628

    34.87593931.3976080673

    36.26749732.5165621414

    38.00694634.3259778163

    39.74639435.7901842555

    41.48584237.2543475652

    43.9210739.0637632401

    46.70418741.908892881

    56.79298748.8967921268

    86.36360973.1463176523

    140.982286123.1034507409

    216.474343197.8340476101

    302.750979287.0644243557

    384.50505372.8424499676

    454.778762446.5373328707

    481.566266480.1853135376

    478.087369481.3814695771

    453.039314463.935119265

    413.032002428.5366810723

    371.633132390.3763533468

    339.975173351.52560715

    314.579228321.6508617639

    275.963475287.978599138

    253.350647256.0324689495

    241.870288238.2408662721

    230.389929222.5206483972

    229.34626213.3598372948

    230.389929213.5203224979

    227.954702211.609379769

    231.085709215.5674253414

    235.608274220.5611417503

    241.174509227.2809905964

    245.001295236.4175197397

    245.001295236.5779618133

    245.349185236.0479854156

    240.13084235.1727566526

    232.825157225.3214839495

    231.085709219.2677716156

    225.867364215.2854440842

    213.343336210.612654952

    201.167198209.7374261891

    178.902259217.1477797656

    146.200631229.7365737835

    103.758092248.5396084679

    55.053539266.3068860567

    19.916683280.2766464058

    7.044766290.1035940204

    14.002559286.8117712195

    26.526587264.5321465719

    36.963277227.0622804472

    62.359222199.2589629932

    122.196244200.4551190327

    179.598039216.1510549487

    225.867364218.037672589

    242.218178189.5438504045

    248.828081174.51413726

    254.046426138.7704467022

    271.788799112.0028000845

    266.22256586.6160766685

    270.04935167.4435507895

    282.57337957.2470688507

    292.31428951.1933565169

    305.18620753.7704357581

    321.18913156.3475149993

    337.88783557.5436710388

    356.67387767.0254094178

    368.15423670.9834549902

    377.54725767.6915890596

    378.93881554.733217588

    370.24157437.2868672758

    356.67387713.6263194267

    337.539946-16.5936351951

    318.058124-39.9089738086

    296.836855-66.331368061

    278.050813-90.3371682754

    253.350647-108.8192325536

    232.477267-127.3012968318

    219.25746-138.5334927366

    201.515087-148.3847654397

    192.817846-155.47414861

    185.512163-160.8373993431

    178.20648-161.712628106

    168.11768-161.8973952681

    168.813459-170.7129971348

    170.900797-175.3857431374

    162.203555-177.9871474672

    161.855666-182.6599365994

    158.376769-193.8921325042

    148.635859-199.945844838

    148.635859-207.7257327387

    145.852741-213.7794450726

    135.763941-221.5592898437

    130.545596-227.9582545428

    126.02303-234.7024284774

    119.761016-237.6490420428

    113.846892-242.321831175

    116.63001-245.2684447404

    113.499003-249.9412338726

    105.84543-253.2330998032

    111.063775-254.1083285661

    111.411665-254.6383049638

    111.759554-254.1326105251

    116.977899-254.3173776872

    116.63001-253.8116832484

    108.628547-253.9964504105

    103.062313-251.0741188041

    96.452409-250.2232151298

    85.31994-249.3722683258

    74.53536-246.1047274838

    66.533898-244.2181098435

    57.140877-241.2957782371

    47.052077-236.992523429

    39.398504-231.9988070202

    34.528049-225.6241674097

    26.178697-220.2851986356

    19.916683-213.9105590251

    16.437787-207.190710179

    11.915221-203.9231262074

    6.696876-198.2389481978

    2.5222-194.2809457549

    3.217979-187.9063061444

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