capwap-pdca-2011 (1)
DESCRIPTION
pdaTRANSCRIPT
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CAPWAP Introduction
PDCA Professors Institute June 2011CAPWAP is a registered trademark of Pile Dynamics, Inc.Garland Likins Pile Dynamics, Inc.
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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.
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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 )
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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
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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
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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
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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
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First try (poor) Final match (good)Adjustments.. is an iterative processCAPWAPCAPWAP match can be obtained by computer in fully automatic way!
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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 .
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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
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The CAPWAP Soil ModelSoil segment length ~2 m( resolution of the data itself )Spring (static resistance)Dashpot (dynamic resist)Pile segment length ~ 1 m
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Rui, qiRt, qtJiJTmPLShaft Resistance, Ns timestGRNsRNs-1TheCAPWAP Soil ResistanceModel
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mtRui, qiRt, qtJiJTJSKJBTAdd: Radiation Damping
Add: Shaft soil plugtGmsSome CAPWAP Soil ModelExtensionsMass ms related to circumference Damper Jsk related to soil strength
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qiRuiqiRsiui-RuiRecommended Shaft Quake:0.1 inch, 2.5 mmStatic Shaft ResistancequakeWave Equation model
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Static Shaft Resistance ModelRsRs
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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
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dCAPWAP Static Toe Resistance ModelToe gap: tgRt
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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
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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
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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
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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
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CAPWAP Record Divisions
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Match Quality Time periodsShaft Res. Distr. developsToe Res. and total Capacity developsUnloading develops
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CAPWAP Match Quality
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An Example CAPWAP
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First Trial Analysis (Lousy Match)Input FMatching F Input FMatching v orInput vMatching For ( Best: apply inputs, calculate reflections )
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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
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Plotted Output
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Table Output
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Table OutputCase MethodExtrema
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Record Adjustment: Use PDA-W/CWProportionality and Integration
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First Trial Analysis: Ru = Case MethodJ=0.16/0.5 s/m; qs=2.5 mm; qt=D/120; Ri automatic
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2. Determine resistance distribution from difference between calculated and measured wave-up
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Determine resistance distribution from difference between calculated and measured wave-upChanged 3: 163 to 1004: 218 to 1005: 273 to 100
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Determine resistance distribution from difference between calculated and measured wave-up
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Determine resistance distribution from difference between calculated and measured wave-upUsed Further Manual Improvements
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Adjust CAPWAP variables
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Iterate for total capacity, CAPWAP Variables, damping mode, toe resistance magnitude
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CAPWAP Help FeaturesHCCAPWAP Variable Help
HRCAPWAP Resistancevs Displacement Help
HMCAPWAP Match suggestions
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CAPWAP Static Analysis OptionsSmoothingUser CapacityUplift TestExtrapolation
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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
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We could plot Measured Force vs Measured Displacement, but
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. 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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-55.255859
-53.155874
-53.155874
-54.205866
-53.68087
-54.730863
-55.255859
-55.780855
-55.780855
-55.780855
-55.255859
-56.830848
-57.355844
-57.355844
-57.88084
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-58.405837
-57.88084
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-58.930833
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-57.355844
-58.405837
-58.405837
-59.455829
-58.405837
-57.88084
-57.355844
-57.355844
-56.305851
-56.830848
-57.88084
-57.355844
-57.88084
-57.88084
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-64.180796
-63.655799
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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
2330.0233417.7657932.011822-7.52069410.700191
2340.0234418.8157861.990415-4.6930510.901374
2350.0235417.2407971.973756-3.68863111.100415
2360.0236416.1908041.971342-3.95391611.297791
2370.0237415.1408121.973675-4.72993611.494925
2380.0238419.8657781.990253-4.15067811.692292
2390.0239426.690732.009205-2.77679511.891318
2400.024435.090672.032905-1.12615112.092238
2410.0241441.9156222.066102-1.28447112.295529
2420.0242453.9905372.1016720.92682412.502139
2430.0243465.0154592.1324943.12385712.712306
2440.0244476.0403812.1680654.81015612.925556
2450.0245486.015312.1988876.48219313.142362
2460.0246497.5652282.2249619.45245813.362251
2470.0247508.0651542.24866112.15309413.584747
2480.0248516.4650942.26761314.31447213.809613
2490.0249523.8150422.28656515.95085314.036374
2500.025529.5900022.29127318.33194214.265031
2510.0251534.3149682.29360720.44340314.494158
2520.0252534.8399642.29119220.96561214.723519
2530.0253536.4149532.28165622.77891914.952638
2540.0254534.3149682.25550124.54230815.180804
2550.0255531.164992.23409425.26996715.406354
2560.0256523.2900462.20793924.14587715.629763
2570.0257517.5150872.18178424.07177915.850557
2580.0258509.1151462.15088123.19592516.068736
2590.0259501.7651992.11760423.10043416.283824
2600.026492.8402622.08195322.47281616.495584
2610.0261484.9653172.04630222.37019416.703779
2620.0262476.0403812.01539921.23184216.908409
2630.0263467.640441.9868720.10062117.109949
2640.0264460.2904921.94884420.51586417.308636
2650.0265452.4155481.91794119.90250817.503521
2660.0266445.5905961.88941219.55878117.695315
2670.0267438.7656441.85613519.72578917.884256
2680.0268432.9906851.82523220.16242518.06987
2690.0269427.7407221.80382519.84009218.252393
2700.027423.5407521.78004520.29812218.432775
2710.0271419.3407821.75626420.75615118.61078
2720.0272416.71581.73723121.49094118.786406
2730.0273413.0408261.72057221.44536818.960129
2740.0274411.9908341.70628722.45691819.132187
2750.0275410.4158451.69200323.2059719.302815
2760.0276409.3658531.6848423.45141919.472016
2770.0277407.7908641.66818224.45583919.6405
2780.0278408.315861.65864525.74414919.807318
2790.0279408.315861.64910826.76996119.973182
2800.028408.8408561.63719828.31363920.138093
2810.0281408.8408561.63003529.08408420.301813
2820.0282409.3658531.61812530.62776220.464816
2830.0283410.4158451.60858832.17857120.626629
2840.0284408.8408561.59667732.67225620.787488
2850.0285407.7908641.58714133.17307220.947155
2860.0286407.2658671.58235233.42565221.105869
2870.0287406.7408711.5751933.93359921.264105
2880.0288403.0658971.56565333.12192421.421624
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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
0.782752-184.6387653024
4.261648-179.2997965284
8.784214-177.0679265228
7.740545-173.10992408
8.784214-171.2233064396
10.523662-167.2652608672
7.740545-165.0334339912
3.565869-160.384926818
3.217979-156.7721336108
3.913759-149.7070323994
2.87009-141.2610079865
4.957428-133.1601928092
19.916683-124.0237067954
29.657594-115.2324300172
33.83227-106.4411532391
41.137953-95.2332824228
51.574643-86.7872148803
61.663443-74.8888824632
73.839581-66.0976056851
85.31994-53.163559302
94.017181-44.3722825238
107.584878-32.1286977416
117.673679-25.0635965303
122.544134-20.0698801214
121.848354-16.8022961498
124.979361-13.1895460722
127.762479-11.6481376675
128.458258-8.7258060611
123.587803-11.6724196264
127.762479-10.8215159521
124.631472-13.0776679166
112.455334-15.3338198812
106.541209-16.2090486441
107.932768-18.8104529739
106.889099-16.2333737327
98.887637-17.1086024956
89.842505-17.6385788933
86.015719-16.4424228537
84.276271-15.5914760498
81.841043-15.4310339763
80.101595-13.8896255715
72.795912-12.3482171668
63.750781-9.7711379256
52.270422-6.8488063192
43.92107-1.8550899103
36.2674972.1029125325
28.2660358.477552143
21.65613215.1974441187
13.65466923.9886777673
2.8700932.4347453098
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5.65320741.3282392154
27.57025640.4530104525
40.44217336.4706829211
53.31409134.9049925574
58.53243632.6488405929
56.44509830.3926454987
58.18454626.0651087317
57.14087723.463704402
44.96473919.8266292358
31.04915216.5347633052
29.30970414.6238637058
32.44071114.0938441785
40.44217321.1589453899
45.31262940.6524416751
51.22675339.0867513114
81.49315442.3542921534
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56.09720840.6038346276
36.96327736.9667163318
18.52512538.5081247365
0.78275234.5257972051
0.43486235.3767440091
8.08843532.4301304437
9.13210431.5549016808
27.22236633.4415193212
54.0098745.6851041034
67.57756752.4049960791
88.10305750.8393057154
73.49169145.821264218
67.57756740.1128042493
80.10159543.0350927261
79.40581642.1598639632
62.70711237.8323271962
54.0098729.3619776947
48.79152526.7606164945
47.39996723.4687505639
47.05207721.9030602002
43.9210717.5754803036
41.13795317.0455039059
38.00694614.4440995761
43.22529110.80702441
41.1379537.5151584794
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43.9210711.9788984905
37.65905613.5202637657
38.0069466.4308805954
33.136496.9365750341
29.6575946.4065555068
34.8759393.4599419415
36.267497-4.3199459592
34.180159-9.3379443271
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25.135028-9.0170170504
26.526587-7.8208610109
21.308242-7.6603758078
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1.130641-6.1675744505
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18.873014-20.5798012599
18.525125-25.2525472626
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28.266035-26.4973103497
26.874476-28.7535054438
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27.222366-29.8135013688
28.961814-31.0339393673
24.787138-32.9448820963
21.656132-34.51057246
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16.089897-36.9514915866
15.742007-37.4815111139
14.002559-39.0472014777
11.915221-38.5415070389
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12.95889-39.4410177608
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16.785676-35.3225301149
18.525125-33.7811217101
16.437787-35.3468552034
18.873014-35.8768316012
20.264573-37.7877743301
16.785676-36.9368275262
14.698338-35.3954191214
11.915221-34.5445154471
11.219442-33.3483594075
12.263111-31.4617417671
11.915221-29.5750809972
12.95889-30.1051005245
15.742007-30.2898676866
13.30678-30.1293824835
7.392655-28.5880172083
6.001097-27.0466088035
7.740545-26.1956619996
4.261648-25.6899675609
0.086972-26.5651963238
3.217979-27.7856774519
5.305317-28.3156538496
6.001097-29.5361349777
6.001097-28.6851881738
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