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304 ANALYSIS AND DESIGN OF PILE GROUPS

            Table  10.6  Comparison  of  different  analyses  for  3-pile  group  under  general  loading
            conditions






















            process,  and  would  be  expected  to  be  different  for  bored  piles  and  for  driven
            piles. As discussed by Randolph (1994), for driven piles, the soil modulus may
            be expected to be higher in the zone immediately around the pile, while for bored
            piles  the  soil  modulus  will  be  reduced.  The  near-pile  E s  will  tend  to  influence
            strongly  the  deformation  of  the  single  pile,  whereas  initial  values  of  E s  will
            affect  interaction  effects  between  piles.  Typical  values  for  the  near-pile  soil
            modulus  for  bored  and  driven  piles  have  been  reported  by  Poulos  (1993)  and
            Poulos (1994), respectively. The discussion below will give some indication on
            the assessment of the initial soil modulus.
              It is now well understood that the values of E  determined from conventional
                                                   s
            triaxial tests with external measurement of axial strain of the soil sample (which
            is  highly  inaccurate  at  strains  less  than  about  0.1%)  are  usually  much  smaller
            (typically one-fourth to one-tenth) than the initial modulus (Jardine et al., 1984).
            The most reliable means of obtaining the low strain shear modulus (G ), which is
                                                                    o
            connected with E  by the formula E =2G (1+v ), is to carry out in situ shear wave
                                        s
                          s
                                            0
                                                 s
            velocity  measurements.  Mandolini  and  Viggiani  (1997)  showed  that  there  is  a
            substantial agreement between low strain shear moduli derived from cross-hole
            data and those backfigured from pile loading tests, with a trend of the latter to fit
            the lower limit of the geophysical measurements. If in situ shear wave velocity
            measurements are not available, G  may be determined in the laboratory using
                                        o
            bender elements (Viggiani and Atkinson, 1995).
              However,  all  of  these  means  of  measuring  shear  moduli  are  expensive  and
            time-consuming,  and  are  rarely  available  in  the  early  stages  of  design.  Thus,  a
            preliminary assessment of initial soil modulus may be obtained from empirical
            correlations with the results of conventional in situ and laboratory tests.
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