 
          2709
        
        
          Technical Committee 212 /
        
        
          
            Comité technique 212
          
        
        
          240
        
        
          210
        
        
          167
        
        
          103
        
        
          25
        
        
          280
        
        
          253
        
        
          196
        
        
          115
        
        
          27
        
        
          320
        
        
          280
        
        
          222
        
        
          126
        
        
          23
        
        
          360
        
        
          315
        
        
          253
        
        
          154
        
        
          23
        
        
          387
        
        
          -
        
        
          272
        
        
          161
        
        
          23
        
        
          Table 3. Load at depth for the 0.4m pile.
        
        
          
            Load at respective levels (kN)
          
        
        
          
            Load at top
          
        
        
          
            (kN)
          
        
        
          
            3.1m
          
        
        
          
            5.3m
          
        
        
          
            7.5m
          
        
        
          
            9.7m
          
        
        
          40
        
        
          37
        
        
          35
        
        
          32
        
        
          1
        
        
          80
        
        
          64
        
        
          56
        
        
          46
        
        
          3
        
        
          120
        
        
          118
        
        
          104
        
        
          75
        
        
          11
        
        
          160
        
        
          150
        
        
          126
        
        
          83
        
        
          11
        
        
          200
        
        
          187
        
        
          158
        
        
          110
        
        
          11
        
        
          240
        
        
          217
        
        
          185
        
        
          123
        
        
          11
        
        
          280
        
        
          249
        
        
          211
        
        
          136
        
        
          11
        
        
          320
        
        
          284
        
        
          233
        
        
          144
        
        
          11
        
        
          360
        
        
          318
        
        
          265
        
        
          163
        
        
          11
        
        
          400
        
        
          340
        
        
          278
        
        
          166
        
        
          8
        
        
          440
        
        
          -
        
        
          302
        
        
          190
        
        
          8
        
        
          Table 4. Load at depth for the 0.5m pile
        
        
          
            Load at respective levels (kN)
          
        
        
          
            Load at top
          
        
        
          
            (kN)
          
        
        
          
            3.1m
          
        
        
          
            5.3m
          
        
        
          
            7.5m
          
        
        
          
            9.7m
          
        
        
          40
        
        
          36
        
        
          32
        
        
          32
        
        
          4
        
        
          80
        
        
          79
        
        
          68
        
        
          65
        
        
          7
        
        
          120
        
        
          119
        
        
          111
        
        
          93
        
        
          22
        
        
          160
        
        
          158
        
        
          133
        
        
          101
        
        
          18
        
        
          200
        
        
          183
        
        
          158
        
        
          120
        
        
          22
        
        
          240
        
        
          212
        
        
          180
        
        
          133
        
        
          40
        
        
          280
        
        
          248
        
        
          208
        
        
          151
        
        
          29
        
        
          320
        
        
          287
        
        
          241
        
        
          162
        
        
          29
        
        
          360
        
        
          320
        
        
          269
        
        
          176
        
        
          29
        
        
          400
        
        
          348
        
        
          295
        
        
          194
        
        
          40
        
        
          440
        
        
          377
        
        
          320
        
        
          216
        
        
          18
        
        
          478
        
        
          -
        
        
          345
        
        
          233
        
        
          18
        
        
          5 ANALYSIS
        
        
          The load tests show, for the ultimate load, an average skin
        
        
          friction (sf) for the three piles of 21kPa (sf
        
        
          1
        
        
          ) for the Cenozoic
        
        
          sediment layer and 45kPa (sf
        
        
          2
        
        
          ) for the residual soil layer.
        
        
          From Figure 4 it can be seen that the almost total
        
        
          mobilization of skin friction is for 5mm displacement..
        
        
          Fellenius (2012) showed that, to mobilize the ultimate pile shaft
        
        
          resistance requires very small relative movement between the
        
        
          pile and the soil, usually only a few millimeters in inorganic
        
        
          soils and that the direction of the movement has no effect on the
        
        
          load-movement for the shaft resistance. That is, push or pull,
        
        
          positive or negative, the maximum shear stress is the same.
        
        
          Moreover, the movement necessary for full mobilization of the
        
        
          shaft resistance is independent of the diameter of the pile.
        
        
          In analyses using semi-empirical formulae, the rupture in the
        
        
          pile-soil contact area was assumed. As the soil being studied
        
        
          was soft sand and the piles were relatively short, the tensile skin
        
        
          friction was assumed to be equal to the compression skin
        
        
          friction. Poulos (2011) states that for piles in medium dense to
        
        
          dense sands, this ratio typically ranges between 0.7 and 0.9, but
        
        
          tends towards unity for relatively short piles, and that a
        
        
          significant advance in the understanding of this problem was
        
        
          made by Nicola and Randolph (1993).
        
        
          Table 5 shows the results obtained in the load tests (P
        
        
          Ult.PC
        
        
          )
        
        
          compared to those obtained from the methods employed to
        
        
          predict the ultimate load of the piles (P
        
        
          Ult.Cal.
        
        
          ).
        
        
          Table 5. Ratio of the ultimate load value obtained in the load test to the
        
        
          calculated value
        
        
          
            Ratio
          
        
        
          
            P
          
        
        
          
            Ult.PC /
          
        
        
          
            P
          
        
        
          
            Ult.Cal
          
        
        
          
            0.35m
          
        
        
          
            0.4m
          
        
        
          
            0.5m
          
        
        
          Meyerhof and Adams (1968)
        
        
          2.03
        
        
          1.79
        
        
          1.26
        
        
          Meyerhof (1973)
        
        
          0.71
        
        
          0.66
        
        
          0.51
        
        
          Das (1983)
        
        
          1.21
        
        
          1.00
        
        
          0.85
        
        
          Martin (1966) - Univ. Grenoble
        
        
          0.82
        
        
          0.81
        
        
          0.68
        
        
          LCPC (Fellenius, 2012)
        
        
          1.21
        
        
          1.19
        
        
          1.00
        
        
          Aoki and Velloso (1975) SPT
        
        
          Aoki and Velloso (1975) CPT
        
        
          2.16
        
        
          2.30
        
        
          2.13
        
        
          2.29
        
        
          1.79
        
        
          1.99
        
        
          Decourt (1996)
        
        
          1.08
        
        
          1.06
        
        
          0.89
        
        
          Philiponnat (1978)
        
        
          1.44
        
        
          1.14
        
        
          0.96
        
        
          For the two soil layers, the average skin friction ratios for the
        
        
          piles based on the results of the CPT tests are sf
        
        
          1
        
        
          =0.5.fs
        
        
          1
        
        
          ,
        
        
          sf
        
        
          2
        
        
          =0.3.fs
        
        
          2
        
        
          , sf
        
        
          1
        
        
          =0.02.qc
        
        
          1
        
        
          , sf
        
        
          2
        
        
          =0.02.qc
        
        
          2
        
        
          , respectively. By
        
        
          expressing the ratios sf = k.fs and sf = C.qc, the values for k
        
        
          demonstrated by Slami and Fellenius (1977) range from 0.8 to 2
        
        
          while those for C range from 0.008 to 0.018 for sandy soils.
        
        
          Bustamante and Gianeselli (1982) present the C coefficient
        
        
          ranging from 0.005 to 0.03, as governed by the magnitude of the
        
        
          cone resistance, type of soil and type of pile.
        
        
          The LCPC Method (in Fellenius 2012), based on the
        
        
          experimental work of Bustamante and Gianeselli (1982),
        
        
          establishes that sf=C.qc, for bored piles in sand and with a qc of
        
        
          less than 5MPa, the value of C is equal to 1/60. Given these
        
        
          values, sf
        
        
          1
        
        
          =19kPa and sf
        
        
          2
        
        
          =39kPa can be computed, values
        
        
          which are close to those obtained in the load tests, namely
        
        
          21kPa and 45kPa, respectively.
        
        
          Using the method espoused by Décourt (1996), which uses
        
        
          SPT test data, tensile ultimate load values were calculated for
        
        
          the three piles. According to the current suggestion of the
        
        
          author, it is also necessary to use a correction coefficient (β
        
        
          L
        
        
          )
        
        
          due to the soil being lateritic. In this case, β
        
        
          L
        
        
          =1.2 was used,
        
        
          giving rise to the results presented in Table 3.
        
        
          The method proposed by Martin (1966) and developed at the
        
        
          University of Grenoble, includes various important aspects such
        
        
          as cohesion, angle of friction, overload, specific soil mass and
        
        
          the weight of the foundations themselves. Moreover, it is
        
        
          recognized that the rupture surface forms an angle λ at the base
        
        
          of the pile. In the calculations performed, the hypothesis of
        
        
          angle λ equal to zero was the one which most closely
        
        
          approximated the load test results.
        
        
          The method proposed by Meyerhof (1973) considers
        
        
          adhesion, pile-soil angle of friction, effective vertical stress and
        
        
          a pull-out coefficient that depends on the angle of friction of the
        
        
          soil and the type of pile. The method employed by Das (1983)
        
        
          was developed for sandy soils and includes the pile-soil angle of
        
        
          friction and a pull-out coefficient which depend on the relative
        
        
          density of the sand, the pile-soil angle of friction and the soil’s
        
        
          angle of friction. The problem with these two methods lies in
        
        
          the correct definition of the abovementioned parameters.
        
        
          In order to predict the ultimate loads from the load vs.
        
        
          displacement curves of the load tests, the method employed was
        
        
          that proposed by Décourt (1999) based on the stiffness concept
        
        
          (Fellenius 2012), which divides each load with its
        
        
          corresponding movement and plots the resulting value against
        
        
          the applied load, Figure 5. Ultimate load prediction simulations
        
        
          were performed, without using all of the load vs. displacement
        
        
          curve data and it was found that, starting from 70% of the
        
        
          maximum load in the test, the method presents good results in
        
        
          terms of determining the ultimate load.
        
        
          The average tensile skin-friction values found are close to
        
        
          the values found in compression load tests with the same type of
        
        
          pile in the same soil.