Volume 6, Issue 3 September 2021

Special Contribution

Comments on Analysis of a Static Loading Test
Bengt H. Fellenius, Dr.Tech. P.Eng.
Consulting Engineer, Sidney, B.C., Canada
1.

INTRODUCTION

The foundation industry and the engineering practice embrace an undesirable disparity of procedures and schedules of
performing a static pile loading test. While the maximum applied load, number of load increments, means of providing
reaction load, total test duration, extent of instrumentation, etc. will naturally vary depending on the specificcircumstances and objectives, there are explicit rules for what to do and what not to do. Regrettably, the rules are more
often than not broken. The following illustrates a few by way of presenting and analyzing actual results from an
instrumented test.
2.

SOIL PROFILE, INSTRUMENTATION, LOADING SCHEDULE, AND BASIC RESULTS

The test pile was a 400-mm diameter, square, precast concrete pile driven to 18 m embedment at a site in Singapore.
According to borehole information, summarized in Fig. 1 the profile comprised an upper 5 m thick layer of sandy silt, ahydraulic fill placed on 6 m of soft marine clay followed by sandy silt at 11 m depth and designated as Kallang and Jurong
formations, respectively. The SPT N-indices indicated the fill as compact, the clay as very soft to soft, and the sandy silt
dense to very dense. The borehole may not have been drilled close to the test pile; as the analysis will suggest, the first
3 m of the profile designated as sandy silt is probably more likely the soft layer, i.e., the Kallang-Jurong boundary could
be at 14 m and not at 11 m depth.
The pile instrumentation consisted of a special telltale system called Glostrext (Hanifah and Lee 2006), a system employing
Vibrating Wire (VW) extensometers to measure strain between a series of anchor points. Seven anchor points (see Fig. 1A)
were installed at 2, 8, 11, 14, 16, 17, and 18 m depths in the test pile and referenced to the pile head a 0.0 m depth; nostick-up. The strain measurements gave compression between the anchor levels and accumulated compressions gaveanchor movements to subtract from the pile head movement to provide the movement of the anchor levels and,eventually, of the pile toe. The strain measurement was obtained as a difference between two VW readings and it will,
therefore, never quite have the same accuracy as a single VW record. However, it is independent of bending moment,
which a VW pair cannot ensure. In effect, the Glostrext system provides strain values at par with the more conventional
system of embedded VW gages. The strain value is the average over the anchor length (distance between anchor levels).
Usually, the strain value is assumed to be representative for the midpoint of an anchor length. Theoretically, in a uniform
soil showing linearly increasing shaft resistance and no toe resistance, the average axial force in the pile converted fromthe strain readings between the pile head and an anchor level some distance above the pile toe, is the force at 0.7 (=1/√2) times the anchor length down from the pile head. However, for anchor lengths further down the pile, the location
gets closer to the mid-point of the anchor length (Fellenius 2021). All here used force-averages calculated from strain
measured between the anchor levels are plotted at anchor-length mid-point. Note also that the measurement of
movement, provided by the Glostrext system is a "companion" measurement of great value for the analysis.
The maximum applied load was 2,500 kN; 2.5 times the intend working load. The test schedule comprised three phasesof loading followed by unloading. Phase 1 comprised four approximately equal increments applied about every hour
followed by an about 6-hour load-holding before complete unloading. Phase 2 comprised 2 increments of about 8 and
18 minutes load-holding duration, respectively, the second load level being about three times the first, and the load wasmaintained for about 6 hours. (The twice larger second load increment was, presumably, due to an accidental
overshooting of the load increase). The third load increment, about equal to the first, was held for about one hour andthe fourth, slightly smaller, was held for 10 hours before unloading. Phase 3 comprised 10 about equal load increments.
The first 5 were held for 10 minutes, each of the following 3 were held for about 1 hour, and the 9th was held for about
4 hours. The 10th was held for about 2 hours. The duration of the test from start to finish was 3 days. Fig. 1B shows thegraph of the load vs. time test schedule. Obviously, the crew had some difficulty maintaining the pressure in the jack.
Fig. 1C shows the main test response, the pile-head load-movement and the compression of the pile. At the 2,500-kN
maximum applied load, the pile head moved about 50+ mm and the compression of the pile was 10 mm. Thus, the pile
toe moved 40 mm. Note that each unloading caused the next phase, Phases 2 and 3, to start not from zero as for Phase 1,
but from the strain and movement remaining from the preceding test phase.
23Volume 6, Issue 3 September 2021

025

N (blows/0.3m)
50
75

3,000
2,500

0

4

AnchorLevel
SANDY SILT (Fill)ϱ = 2,000 kg/m3

2,000

LOAD (kN)

2

GW

6

CLAY (Kallang)

1,000
500

B

10
SANDY SILT (Jurong ?)ϱ = 2,100 kg/m3

SANDY SILT (Jurong)ϱ = 2,100 kg/m3

16
18

0
0

3,000

APPLIED LOAD (kN)

DEPTH (m)814Phase 2Phase11,500

ϱ = 1,700 kg/m3

12Phase 3Red line connects
last reading f or eachload level

100

PILE TOE

20

8

16

24

32 40 48
TIME (h)Compression

56

64

72

Head

2,500

2h
6h
60 min.

2,000

60 min.

1,500
Working
Load

1,000
500
0

A

C

22

0

10
20
30
40
50
60
MOVEMENT
andMOVEMENTCOMPRESSIONPILE HEAD(mm)(mm)Fig. 1. Soil profile, Anchor levels, Load-time schedule, and Load-movement
Figure 2 shows the strain in the pile remaining at the end of Phase 1 and additional strain remaining at the end of Phases
2 and 3 as well as the total strain induced by the three phases. Such strain is commonly referred to as "residual strain"
and the corresponding force is "residual force". It is likely that had an additional phase been introduced after Phase 2 andbefore the last phase, additional residual strain would have been added to the records. Or, on the other hand, if Phases
1 and 2 had not been part of the schedule, Phase 3, now being the first phase, would have had no such added strain
incorporated. Of course, some strain was likely induced during the driving and by set-up following the driving.
0

10

20

30

STRAIN (µϵ)
40
50
60

70

80

90

100

0
2

DEPTH (m)468Added in Phase 1
10Added in Phase 2

Added in Phase 3

12

Total Phases 1 - 3

14
16
18
20

AnchorLevel

Fig. 2. Strain remaining in the pile after unloading the applied load
In contrast to the subject test, most test schedules are a bit more consistent than the current test in regard to loadholding durations and load levels. Moreover, the applied load levels on actual tests are usually better maintained.
However, the main principle is often the same: the tests include a few to several unloading-reloading events or phases—
24

Volume 6, Issue 3 September 2021

"cycles" they are not. For years, I have asked colleagues to tell me their rational for specifying a schedule ofunloading/reloading and their including uneven load increments, as opposed to scheduling a series of equal increments
each held for an equal length of time. The former schedule means spending a not inconsiderable extra amount ofmoney—a client's money or a tax payers' money—a rational for what the extra spending buys or if the spending iswarranted is never declared. To date, nobody advocating the former schedule has been able to tell me what is gained by
the former over the latter. Of course, when pressured for a reply, many will say that the Code requires it, which to me isthe same as the of-old excuse: "the Devil made me do it"! The following analysis will show what unloading-reloading anduneven load-holdings will do to a test interpretation. On a positive note, it will also illustrate how the load-movement
results of the Glostrext gages can be used to analyze the response of a pile to applied loads.
3.

DATA ANALYSISThe first analysis step after compiling and organizing the test data is to convert measured strain, ϵ, to axial force, Q. Thisrequires knowing the pile material secant modulus, Es and the pile cross sectional area, A; Q = EsAϵ. However, for a
concrete pile, such as the subject test pile, the Es-modulus can range from a value ≈25 GPa through ≈35 GPa, depending
on concrete quality and amount of reinforcement in the pile. Moreover, for the subject pile, the nominal area has to becorrected for the central void. Thus, neither E nor A is known with acceptable accuracy. However, the secant stiffness,
EsA, can be determined directly from the measurements by, for each record, plotting a graph of the load divided by thestrain versus strain. The secant method requires that (1) the zero-force reference of the first reading is accurate, (2) the
measured strain is unaffected by locked-in strain, and (3) no or only a minimal amount of shaft resistance develops
between the load application and the strain measurement location. This limits the method to a record from a gage locatedclose to the location of applying the load; the pile head for the subject case.
The stiffness of the pile at gage levels away from the load application can alternatively be determined by the tangent
stiffness method, which employs plotting the change of applied load (Q) divided by change of strain (ΔQ/Δϵ) against
strain (ϵ) to determine the tangent stiffness, EtA,. There is a simple mathematical relation between the tangent stiffness,
EtA, and the secant stiffness, EsA. The tangent method is independent of zero shift and residual force. However, it is adifferentiation approach and it is therefore very sensitive to data error or inadequate accuracy. The latter means that theapplied load, the load that caused the strain at the gage level and the force that caused the change of strain must be kept
very stable, because, otherwise, the delay before a load change at the load application point (pile head, usually) isregistered as a force change at the gage level would impact the veracity of the interpretation. The tangent method
requires that shaft resistance response is plastic, i.e., constant (after an initial movement). If, in contrast, the soil response
is strain-hardening, i.e., continues to increase with increasing force, the evaluated stiffness (modulus) increases withstrain. If strain-softening, the tendency is instead to decrease with increasing strain. Moreover, the commonly appearing
downward slope of the stiffness line (by linear regression), indicating reducing modulus for increasing strain, will beconsiderably exaggerated by no-plastic shaft resistance. For details, see Fellenius (1989; 2021).
Note, the strict definition of stiffness is a spring constant and it is really EsA/L and, therefore, "EsA" should perhaps becalled something else, say "stiffness number", which, however, could be confusing. The term "rigidity number" has been
used, but "rigidity" is associated with resistance to bending and the context here is axial force, so, I prefer to stay withthe term "stiffness".
Fig. 3 shows the secant and tangent stiffness graphs for the subject case records. The secant stiffness method was applied
to the strain measured between the pile head and the anchor level at 2 m below the pile head. Linear regression analysis
for the values showed that only in Phase 3 was the maximum applied load carried to a load level that would present a
secant stiffness development in Phase 3. If maintaining the readings immediately before the start of Phase 1 as the zeroreference to Phase 3 records, a secant stiffness, EsA, of 4.14 GN was obtained. The total strains remaining after each
unloading of Phases 2 and 3, were 7 and 13 μϵ, respectively, for the gage length between the pile head and 2.0 m depth.
The graph shows the secant modulus calculated after subtracting those values. The Phase 3 linear regression then showed
EsA to be 4.50 GN, instead, which is an about 8 % larger value. N.B., the subtraction of the strains is an uncertain action
as the data also include the effect of hysteresis.
The bottom graph shows the tangent stiffness plot for the Phase 3 (Phase 1 and 2 did not engage the pile sufficiently).
Note that the values from the last two load levels are affected by the erratic loads applied in the test (c.f. Fig. 2). The pile
has a uniform cross section and therefore, the secant method stiffness obtained for the uppermost gage level isrepresentative for all the strain records. Thus, applying the tangent method (bottom graph) to the measured strains would
seem to be redundant. However, the plot is still worthwhile because it adds reference to the representativeness of therecords. The tangent method applied to the records indicated that the stiffness is 4.5 GN, which is the same as that shownby the secant method after correcting for zero level. As mentioned, the tangent method is independent of the zero-strain
25

SECANT STIFFNESS (GN)

7.0

Secant Stiffness
Head to 2.0 m

6.5
6.0

Volume 6, Issue 3 September 2021

5.5

Phase 1

5.0

Phase 2

4.5

Phase 34.0

y =residual-0.0003x strain+ 4.509at the start ofreference uncertainty. Therefore, the tangent method result confirms that, for this test, the3.5
the test should be subtracted from the records before calculating and plotting
the secant
Moreover,no3significant
Strain references
set tovalues.
zero at thestart of Phase
3.0
strain-hardening appears to be present.
0
100
200
300
400
500
600
700
STRAIN (µϵ)

Secant Stiffness
Head to 2.0 m

6.5
6.0
5.5

Phase 1

5.0

Phase 2

4.5

Phase 34.0
3.5

y = -0.0003x + 4.509

Strain references set to zero at the start of Phase 3

3.0
0

100

200

300
400
STRAIN (µϵ)

7.0
TANGENT STIFFNESS (GN)

7.0
TANGENT STIFFNESS (GN)SECANT STIFFNESS (GN)

7.0

6.5

500

600

6.5

Tangent Stiffness
Phase 314 to 16 m

11 to 14 m

6.0
8-11m

5.5

11 to 14 m

5.0

8 to 11 m

Head-2m

4.5

2-8m

4.0

2-8m

3.5

y = -1E-04x + 4.479

Head-2m

3.0

700

0

100

200

300
400
STRAIN (µϵ)

500

600

700

Fig.Tangent
3. Secantand tangent stiffness versus strain
Stiffness

11 to 14 m

Phase 314 to 16 m

6.0

The so-established
8-11m secant stiffness, EsA = 4.5 GN, was applied to convert the measured strains to axial force in the in the
5.5
11 to 14 m
pile. Fig. 5.0
4 shows the force distributions (blue8 toline)
converted from the about 60-minute measurement of each of the 10
11 m
Head-2mload levels
of
Phase
3,
L3-1
through
L3-10,
andforthe maximum load applied in Phases 1 and 2, L2-4 and L2-5. Values
4.5
from the4.0
anchor length2-8m
between 2 and 8 m depths
appeared to be erratic and were not plotted. My next step was to
2-8mchoose theL3-7
distributionasasuitabletargetfora back-calculation of distribution of axial force that gave a fit to
3.5
Head-2m
y = -1E-04x + 4.479
measuredandcalculated
values.
The
fit
isindicatedusing
red circles connected with a red line. The analysis presents the
3.0
100
200
300 resistance.
400
500 It is 600
700
distribution 0of mobilized
unit shaft
convenient
to express this in relation to an effective stress distribution,
STRAIN (µϵ)
employing the soil profile parameters.
This determines a distribution of a ratio, called ß-coefficient, between the effective
stress and force reduction from the pile head to the pile toe and the ß-coefficients that gave the fit are listed to the right.
N.B., the calculation represents the shaft resistance mobilized for the Target Load and it is not intended to represent anultimate shaft resistance.
TargetDistribution

LOAD (kN)
0

500

1,000

1,500

2,000

2,500

N (blows/0.3m)

0 25 50 75 100
3,000

0

0
L1-4

2
4

L2-5

L3-8

50

100

N-Indicesß = 0.462
ß = 0.46

GW

0

4

6

ß = 0.25 6

8

( )

8

ß = 0.25
10

DEPTH (m)DEPTH (m)

( )

10

12

12

ß = 0.25
1414
ß = 0.81

1616

ß = 0.81
ß = 0.81

18

Anchor
Level

20

18
20

Fig. 4. The strain records converted to force and plotted at the mid-point of each anchor length
The figure includes the N-index diagram as reference to the soil profile and the back-calculation suggests that the softer
middle zone extends about 3 m deeper than given in the borehole log. From the load levels L3-5 (1,316 kN) through L38 (2,010 kN), the curves are parallel, which indicates plastic shaft resistance. The last two curves are slightly less steep,
which would indicate strain hardening, but it is more likely due to the erratic load-holding for the load levels.
For comparison, the analysis of the Phase 3 records was also carried out without adjusting for the strain induced by thetwo preceding phases. With regard to the ß-coefficients, the difference between the results were slight, as indicated inTable 1, but for the middle portion of the pile. The more noticeable difference was with the toe resistance obtained bylinear extrapolation of the curve over the lowest 3 m length of the pile. The adjusted toe resistance for the target
26

Volume 6, Issue 3 September 2021

distribution was 416 kN, whereas the toe resistance for the unadjusted records was 480 kN. The unadjusted analysis
overestimated the target toe force by 15 %.
Table 1. Distribution of ß-coefficients with and without correction of strain from preceding test phases
Depth (m)0.0 - 5.0 5.0 - 14.0 14.0 - 18.0
Corrected
0.46
0.25
0.81
Depth (m)Not corrected

0.0 - 5.0 5.0 - 11.0 11.0 - 15.0 15.0 - 15.0 16.0 - 18.0
0.50
0.26
0.24
1.10
0.80

The next step was to fit calculated and measured force-movement curves as indicated in Fig. 5. The circles show themeasured force-movements and the curves show the simulated and fitted curves. The simulations employed t-z functions
for the shaft resistance and a q-z function for the toe resistance. The t-z function was separated on the lower soil layer,"Jurong formation" and a layer combining the "Kallang formation" and fill, thus, employing two t-z functions and the toe
resistance q-z function for the analysis as shown in Fig. 6. The fit is good for the first eight load levels, while it is much lessgood for the last two, which is considered due to the erratic load holding for these last two steps of the test. Of course, a
fit to the large-movement records could have been forced, but it would have resulted in a poor fit for the beginning of
the test. A similarly good fit for the unadjusted test records could also be produced, but it required a series of different tz functions and the solutions are therefore less credible. The q-z function was obtained with a function coefficient, θ, of0.30, which is a very low value indicative of presence of a residual toe force. A function coefficient in the range of 0.6
through 0.8 is more common for virgin conditions. (The simulation calculations and fits were made with the UniPile
software; Goudreault and Fellenius 2014).
2,800

Compression

2,600

Head

60 min.

2,400
2,200

8 to 11 m(9.5 m)11 to 14m
(12.5 m)4h

LOAD or FORCE (kN)

2,000

14 to 16 m
(15.0 m)

1,800
1,600

16 to 17 m
(16.5 m)

1,400
1,200

Toe — 18 m

1,000
800
600

400
200

PHASE 3

0
0

5

10

15

20

25

30

35

40

45

50

55

60

MOVEMENT (mm)Fig. 5. Load-movement curves for the pile-head and gage levels

MOBILIZED RESISTANCE (%)

120 -

120 -

ß = 0.46 or 0.25

ß = 0.81

δt = 5 mm

rt = 2.6 MPa
δt = 3 mm

MOVEMENT (mm)δt = 2.5 mm
Gwizdalat - z, θ = 0.06
Depth 14 - 18 m

Chin-Kondnert - z, C1 = 0.0095
Depth 0 - 14 m

MOVEMENT (mm)Fig. 6. The t-z and q-z functions that gave the fit
27

Gwizdalaq - z, θ = 0.30
Toe Resistance
MOVEMENT (mm)Volume 6, Issue 3 September 2021

Having established the load-movement response of the pile would seem to provide all information needed for use in the
piled foundation design as described in my previous newsletter item. However, there is still the issue of the locked-inforce in the pile affecting the test. Residual force may or may not have been introduced due to driving and set-up, thoughsome certainly would have. Moreover, the attempt to remove the effect of the Phases 1 and 2 may not have been
sufficient to change the "before-test" conditions for Phase 3 to those for Phase 1. Regardless, it is very likely that thePhase 3 test was affected by presence of residual force developed from the pile head down along most of the pile length.
An analysis (N.B., for the Target Distribution of axial force in the pile) to establish the probable amount of residual force
and its distribution relies on the assumption that the negative direction of shear force is equal to the positive direction,that is, the shear resistance unaffected by residual force is represented by a ß-coefficient distribution not smaller thanhalf that back-calculated from the test records. However, unless measured directly, it is not known how far down thiscondition is valid, that is, at what depth does the negative direction change to positive direction of shear and what is thelength of this transition. Also not known is the magnitude of unit shaft resistance along the pile below the transition zone
and the magnitude of the final toe resistance. The boundary conditions for the distribution are (1) that the depth to thestart of the transition is at the pile toe, which also optimizes the final toe resistance, (2) the final toe resistance cannot
be smaller than that determined in the test, (3) that for whatever toe resistance chosen as the "correct" final toe
resistance, the slope of the positive shaft resistance rising from that value cannot be steeper than the slope evaluatedfrom the test condition, and (4) the length of the transition zone is unknown; it depends on the relative movement
between the pile and the soil in developing the residual conditions—it is usually several pile diameters in length. The
actual distribution will be somewhere within the boundaries and establishing it requires applying suitable judgment.
Fig. 7 compares a probable distribution after correcting the measured Phase 3 distribution for residual force likely
resulting from the driving and set-up following the driving combined with additional residual force due to Phases 1 and 2
not accounted for by re-zeroing the strain and movement records. The analysis suggests that the residual pile-toe force
was about 200 kN and the true toe resistance mobilized by the 2,000 Target Load was about 600 kN. Separating out andknowing resistance contribution from the pile toe is always complex. When knowing the pile toe force is important, asfor the subject test, performing a bidirectional test is always preferable—the axial force in the pile established in abidirectional test is true and unaffected by residual force.
TargetDistribution

LOAD (kN)
0

500

1,000

1,500

2,000

2,500

0

0
Test Data andBack-calculation.

GW

DEPTH (m)

14

100

2

Not Corrected
for Residual Force

4
6
Corrected for
Residual Force
Assumed Fully
Mobilized down to
12.5 m Depth

8

12

50

N-Indices

6

10

0

Residual
Force

Force inpile after
Phase 2
unloading

8

DEPTH (m)2
4

N (blows/0.3m)

3,000
0 25 50 75 100

10
12Transition Zone

14

16

16

18

18

20

20

Fig. 7. Distribution of target force before and after correction of potential residual force
The back-calculation of the measured distribution of axial force gave the distribution of shaft resistance along the pile
expressed in values of unit shaft resistance, rs, as well as correlated to effective stress, σ'z, by a ß-coefficient (ß = σ'z/rs).
The relation Fig. 8 shows these distributions for the uncorrected and corrected conditions of residual force. The unit shaft
resistance is a function of effective stress, usually considered a proportionally relation, and, therefore, it increases withdepth. However, conventionally, the unit shaft resistance is treated as a constant, stress-independent number, which isfalse. In contrast, the ß-coefficient-is usually constant within a uniform soil and it is therefore a much simpler parameterto use in an analysis. As long as the effective stress is brought into the analysis, the two approaches are identical. Note,the linear distributions shown in the figure are based on assuming an immediate transition from negative to positive
direction of residual shaft shear, disregarding that it actually occurs over a transition length.

28

Volume 6, Issue 3 September 2021

BETA, ß (---)
0.00
0

0.25

0.50

0.75

1.00

UNIT SHAFT RESISTANCE, rs (kPa)
1.25

1.50

0

50

100

150

200

250

300

0
Gage Anchor

2
4

2

Not Corrected f or
Residual ForceGW

SANDY SILT (Fill)4( )Not Corrected f or
Residual Force

6
Corrected f or
Residual Force

8

DEPTH (m)DEPTH (m)

6

10

12

8

CLAY (Kallang)

Correced f or
Residual Force

10
12

14

14

16

16

18

18

20

20

SANDY SILT (Jurong?)

SANDY SILT (Jurong)

SANDY SILT (Jurong)

Fig. 8. Distribution of ß-coefficient and unit shaft resistance before and after correction for residual force
The presence of residual force will not have had any significant effect on the shaft resistance response in terms of forcemovement, i.e., the t-z functions for the virgin conditions would be approximately unchanged from those determined forthe test conditions. However, the virgin toe resistance will show a considerable softer initial response—the residual toe
force will appear as a prestressing force and the initial part of the force-movement curve will then be in reloading,appreciably stiffer than in virgin loading. A re-analysis of the load-movement response of the pile under assumption ofshaft and resistances equal to those determined from the corrected force distribution, applying the same t-z functions as
used for the simulations shown in Fig. 5, but with the t-z function changed to θ = 0.60 and toe resistance (developed atthe 2,000-kN Target Load) of 400 kN, results in the pile-head load-movement and a pile-toe force-movement curves
shown in Fig. 9. Of course, the calculated response depends on the assumptions made in regard to the residual force
present in the pile at the static test and the calculated test curves for the assumed virgin test could either be closer toand more deviating from the measured. However, even with a more optimistic set of assumptions, the difference between
the pile-head response as determined in the static loading test and that corrected for the assumed presence of residual
force is substantial and will affect the results of using the results for design decisions. In assuming a very conservative
distribution of residual force, a similarly corrected analysis can be used for a load-movement and settlement analysis thataims to decide if the design for a piled foundation supported on piles similar to the test pile is suitable.
3,000

Not Corrected for
Residual ForceLOAD (kN)

2,500

HEAD

Corrected for
Residual Force

2,000
1,500
1,000

TOE

500
0
0

5

10

15

20

25

30

35

40

45

50

55

60

MOVEMENT (mm)Fig. 9. Measured and corrected pile-head load-movement and pile-toe force-movement curves

29Volume 6, Issue 3 September 2021

4.

CONCLUSIONS

Several observations result from the study of the records and analysis of the of the records of the static loading test on
the instrumented precast concrete pile.
1. The soil exploration was intermittent and very limited. It would have been useful to see samples fromsampling made at closer separations as well as seeing information from laboratory tests, in particular,
compressibility variation, e.g., from the oedometer tests on Shelby tubes. The results from a CPTU soundingor two would have been very supporting to the analysis.
2. The primary problem with obtaining an accurate analysis lies with the testing schedule incorporating
unloading and reloading events, which adversely affected the analysis of the main test, Phase 3.
3. Because of a delay before a change of applied load fully affects the strain measured down the pile, thedemonstrated difficulty in holding the applied load constant affected the ability to correlate measured strain
to axial force.
4. The fact that the testing schedule comprised uneven magnitudes of load increments and varying loadholding durations introduced additional imprecision for the test analysis. My attempt to correct for this bysubtracting the strain remaining in the pile before starting the main test phase is only partially effective as
the loading and unloading were active at different levels of residual strain in the pile.
5. It is likely that residual force resulted from the driving and set up after the driving. However, the impositionof the two unloading and reloading events before the main test made it difficult to entirely assess theamount of residual force and its distribution.
6. For additional comments on aspects that can affect the interpretation of the results of a static loading test,
see Fellenius and Nguyen (2019).
7. A several-day test duration infers considerable costs that instead of adding value to a test reduces it.
Performing instead a test with a series of equal load increments (say about 20±) applied at equal times,(rarely longer than 15 minutes) and with each load level well maintained and held for equal duration would
add values and save costs. The savings could be used to pay for the extra soil sampling and analysis and acone penetrometer test for "free" enhancement of the test value.
8. Notwithstanding the problems due to the unloading-reloading and load-holding variations imposed by the
project designers, the analysis of the test results provided insight in the pile response that can beextrapolated to use of piles of different size and length and/or site conditions, e.g., effect of fills andexcavations, for foundations on single piles and pile groups contained in the project.
9. The Glostrext telltale-type instrumentation proved to function very well, adding significant value to theloading test.
5. ACKNOWLEDGEMENT
I am grateful to Ir. Dr. Lee Sieng Kai of Glostrext Technology (S) Pte. Ltd., Singapore, for permitting me to use the test data.
6. REFERENCES
Fellenius, B.H., 1989. Tangent modulus of piles determined from strain data. ASCE, Geotechnical Engineering Division,the 1989 Foundation Congress, F.H. Kulhawy, Editor, Vol. 1, pp. 500-510.
Fellenius, B.H., 2021. Basics of foundation design—a textbook. Electronic Edition, www.Fellenius.net, 534 p.
Fellenius, B.H. and Nguyen, B.N., 2019. Common mistakes in static loading-test procedures and result analyses.
Geotechnical Engineering Journal of the SEAGS & AGSSEA, September 2019, 50(3) 20-31.
Goudreault, P.A. and Fellenius, B.H., 2014. UniPile Version 5, User and Examples Manual. UniSoft Geotechnical Solutions
Ltd. [www.UniSoftLtd.com]. 120 p.
Hanifah, A.A. and Lee S.K., 2006. Application of global strain extensometer (Glostrext) method for instrumented boredpiles in Malaysia. Proc. of the DFI-EFFC 10th Int. Conference on Piling and Deep Foundations, May 31 - June 2,
Amsterdam, 8 p.

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