 
          2666
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          rigid raft) and the results are presented in Figure 6. As expected,
        
        
          Figure 6 shows that the load transmitted by the piles was
        
        
          reduced as the raft width increased. It is noted that the piles load
        
        
          decreased sharply until it reached a constant value at about 18%
        
        
          of the total displacement. As the raft width increased from 4 m
        
        
          to 7 m, the load transferred through the piles decreased by about
        
        
          22%. As the load carried by the raft increases, however, it is
        
        
          important to carefully examine the total and differential
        
        
          settlements, which may rise due to the high level of stress
        
        
          beneath the raft.
        
        
          
        
        
          The spacing between piles can be used to evaluate the raft
        
        
          flexibility instead of its width using Eq. 2.
        
        
          
        
        
          The percentage of load transmitted by the piles decreases by
        
        
          about 22% as the raft width doubled within the range
        
        
          considered.
        
        
          
        
        
          The percentage of load carried by piles increases as the pile
        
        
          diameter increases. However, the rate of increase is higher for
        
        
          small size piles and diminishes as the pile diameter increases.
        
        
          3.3
        
        
          
            Effect of pile diameter.
          
        
        
          The pile diameter has a significant effect on its load carrying
        
        
          capacity and stiffness, which can affect the performance of the
        
        
          piled raft. To examine the effect of pile diameter on its load
        
        
          share in piled raft design, a raft with width, B = 7.2 m and piles
        
        
          spaced at S/D =4 is considered with pile diameter varying from
        
        
          0.3 m to 0.9 m. Figure 7 demonstrates the percentage of load
        
        
          carried by the piles as the pile diameter changes. The load
        
        
          transferred by the piles increased from 18% to 33% of the total
        
        
          load as the pile diameter increased from 0.3 m to 0.9 m.  The
        
        
          increase occurred because the piles started to interact with the
        
        
          soil across a larger surface area and thus more load carried by
        
        
          the piles. However, the effect of the pile diameter on the piles
        
        
          load share diminishes as the diameter reaches the higher end of
        
        
          the range considered. For example, the percentage of load taken
        
        
          by the piles increased by about 2% as the diameter increased
        
        
          from 0.7 to 0.9 m, while the difference for a smaller diameter
        
        
          was about 9% as the diameter increased from 0.3 to 0.5 m.
        
        
          Additional studies are required to evaluate the performance of a
        
        
          flexible piled raft considering the number of piles, pile length
        
        
          and loading scheme.
        
        
          5 REFERENCES
        
        
          Brown, P. T. 1969. Numerical Analyses of Uniformly Loaded Circular
        
        
          Rafts on Deep Elastic Foundations.
        
        
          
            Géotechnique
          
        
        
          19 (3), 399-404.
        
        
          Burland, J. B., Broms, B. B., and De Mello, V. B. 1978. Behaviour of
        
        
          foundations and structures.
        
        
          
            Proc. 9th ICSMFE.
          
        
        
          Tokyo: V. 2, 496-546.
        
        
          Clancy, P., and Randolph, M. F. 1993. An Approximate Analysis
        
        
          Procedure for Piled Raft foundations.
        
        
          
            International Journal for
          
        
        
          
            Numerical and Analytical Methods in Geomechanics
          
        
        
          17(12),849-869.
        
        
          Horikoshi, K., and Randolph, M. F. 1996. Centrifuge modelling of piled
        
        
          raft foundations on clay.
        
        
          
            Géotechnique
          
        
        
          , 46 (4), 741-752.
        
        
          Horikoshi, K., Matsumoto, T., Hashizume, Y., and Watanabe, T. 2003b.
        
        
          Performance of Piled Raft Foundations Subjected to Dynamic
        
        
          Loading.
        
        
          
            International Journal of Physical Modelling in Geotechnics
          
        
        
          ,
        
        
          3 (2), 51-62.
        
        
          Horikoshi, K., Matsumoto, T., Hashizume, Y., Watanabe, T., and
        
        
          Fukuyama, H. 2003a. Performance of Piled Raft Foundations
        
        
          Subjected to Static Horizontal Loads.
        
        
          
            International Journal of
          
        
        
          
            Physical Modelling in Geotechnics
          
        
        
          3 (2), 37-50.
        
        
          Horikoshi, K., Watanabe, T., Fukuyama, H., and Matsumoto, T. 2002.
        
        
          Behaviour of Piled Raft Foundations Subjected to Horizontal Loads.
        
        
          In R. Phillips, P. J. Guo, & R. Popescu (Ed.),
        
        
          
            Procceding of the
          
        
        
          
            Internationa confrancePhysical Modelling in Geotechnics.
          
        
        
          St John's,
        
        
          Newfoundland, Canada: Taylor & Francis.
        
        
          Katzenbach, R., Arslan, U., Moorman, C., and Reul, O. 1998. Piled Raft
        
        
          Foundation: Interaction Between Piles and Raft.
        
        
          
            Darmstadt
          
        
        
          
            Geotechnics, Darmstadt University of Technology
          
        
        
          4, 279-296.
        
        
          Matsumoto, T., Fukumura, K., Horikoshi, K., and Oki, A. 2004b.
        
        
          Shaking Table Tests on Model Piled Rafts in Sand Considering
        
        
          Influnce of Superstructures.
        
        
          
            International Journal of Physical
          
        
        
          
            Modelling in Geotechnics
          
        
        
          4 (3), 21-38.
        
        
          Figure 6. Load carried by the piles with different raft width.
        
        
          Matsumoto, T., Fukumura, K., Pastsakorn, K., Horikoshi, K., and Oki,
        
        
          A. 2004a. Experimental and Analytical Study on Behaviour of Model
        
        
          Piled Raft in Sand Subjected to Horizontal and Moment Loading.
        
        
          
            International Journal of Physical Modelling in Geotechnics
          
        
        
          4(3),1-19.
        
        
          Mayne, P. W., & Poulos, H. G. (1999). Approximate Displacement
        
        
          Influence Factors for Elastic Shallow Foundations.
        
        
          
            125
          
        
        
          (6), 453-460.
        
        
          Plaxis bv. 2001.
        
        
          
            Plaxis 3D Version 2001,Reference Manual.
          
        
        
          Delft, The
        
        
          Netherlands.
        
        
          Poulos, H. G. 2000. Practical Design Procedures for Piled Raft
        
        
          Foundations. In J. Hemsley,
        
        
          
            Design Applications of Raft Foundations
          
        
        
          425-467. London: ICE Publishing.
        
        
          Poulos, H. G. 2001. Piled Raft Foundations: Design and Applications.
        
        
          
            Geotechnique
          
        
        
          51 (2), 95-113.
        
        
          Poulos, H. G., and Davis, E. H. 1980.
        
        
          
            Pile Foundation Analysis and
          
        
        
          
            Design.
          
        
        
          New York: Wiley.
        
        
          Poulos, H. G., Small, J. C., and Chow, H. 2011. Piled Raft Foundations
        
        
          for Tall Buildings.
        
        
          
            Geotechnical Engineering Journal of the SEAGS
          
        
        
          
            and AGSSEA
          
        
        
          42 (2), 78-84.
        
        
          Figure 7. Load carried by the piles with different pile diameters.
        
        
          4 CONCLUSIONS
        
        
          Some of factors that affect the load sharing between the piles
        
        
          and raft in a piled raft foundation were examined using a 3D
        
        
          finite element model that has been calibrated/ verified by
        
        
          comparing its predictions with measurements made in a
        
        
          geotechnical centrifuge study. Based on the results of the 3D-
        
        
          FEA, a number of conclusions can be drawn as follows:
        
        
          Randolph, M. F. 1994. Design Methods for Piled Groups and Piled
        
        
          Rafts.
        
        
          
            Proc. 13th ICSMFE
          
        
        
          , 61-82. New Delhi, India.
        
        
          Ta, L. D., and Small, J. C. 1996. Analysis of Piled Raft System in
        
        
          Layered Soils.
        
        
          
            International Journal for Numerical and Analytical
          
        
        
          
            Methods in Geomechanics
          
        
        
          20 (1), 57-72.
        
        
          Tomlinson, M. J. 1996.
        
        
          
            Foundation Design and Construction.
          
        
        
          London:
        
        
          Longman Publishing Group.
        
        
          
        
        
          The load share carried by piles is higher for a rigid raft (K
        
        
          f
        
        
          >
        
        
          10) due to the minimal interaction between the raft and
        
        
          subsoil compared to the perfectly flexible raft (K
        
        
          f
        
        
          < 0.01).