 
          1270
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          cap,
        
        
          
            s
          
        
        
          
            x
          
        
        
          and
        
        
          
            s
          
        
        
          
            y
          
        
        
          (m) the centre-to-centre distance piles along and
        
        
          across the road,
        
        
          
            s
          
        
        
          
            d
          
        
        
          (m) the diagonal centre-to-centre distance
        
        
          piles,
        
        
          
        
        
          (kN/m
        
        
          3
        
        
          ) the unit fill weight,
        
        
          
            p
          
        
        
          (kPa) the surcharge load
        
        
          and
        
        
          
        
        
          (
        
        
          o
        
        
          ) the friction angle. Figure 7 also gives the minimum
        
        
          embankment height as required in respectively EBGEO (2010)
        
        
          and CUR226 (2010).
        
        
          The figures, as well as most other comparisons in Van
        
        
          Eekelen et al. (2013b), show that the concentric arch model
        
        
          agrees best with the numerical calculations, and most
        
        
          measurements in the scaled model tests. For the considered field
        
        
          test, the model of Zaeske and the concentric arches model give
        
        
          comparable good results.
        
        
          0%
        
        
          10%
        
        
          20%
        
        
          30%
        
        
          40%
        
        
          50%
        
        
          60%
        
        
          70%
        
        
          80%
        
        
          0.0 0.5 1.0 1.5
        
        
          2.0
        
        
          2.5
        
        
          load part A (percentage of total load, %)
        
        
          H/(sd-d) (m
        
        
          
            )
          
        
        
          concentric arches
        
        
          Le Hello et al. 2009
        
        
          Hewlett and Randolph
        
        
          EBGEO
        
        
          EBGEO minimum H
        
        
          CUR minimum H
        
        
          a=0.6m, sx=sy=1.5m,
        
        
          gamma=19 kN/m3,
        
        
          p=0kPa, phi=29deg
        
        
          Figure 7. Variation of embankment height
        
        
          
            H
          
        
        
          , comparison analytical
        
        
          models with numerical calculations of Le Hello et al. (2009).
        
        
          0
        
        
          40
        
        
          80
        
        
          120
        
        
          160
        
        
          arching A (kN/pile)
        
        
          A pile 692
        
        
          A pile 693
        
        
          EBGEO/CUR A (phi=43)
        
        
          BS8006 A (phi=43)
        
        
          conc arches var 2 (phi=43)
        
        
          
        
        
          =43
        
        
          o
        
        
          , average values
        
        
          geometry: sx=sy=2.25 m,
        
        
          H=1.86 m, 17 m soft soil:
        
        
          k=0 kN/m
        
        
          3
        
        
          Figure 8. Comparison measured and calculated arching A in highway
        
        
          exit  Woerden, the Netherlands, described in Van Eekelen et al., 2012c
        
        
          7 CONCLUSIONS
        
        
          It is important to make a distinction between models for piled
        
        
          embankments with or without geosynthetic basal reinforced
        
        
          (GR). In the case with GR, the load is concentrated on the GR
        
        
          strips between the piles (and the piles), and the load on the GR
        
        
          strips is inversed triangular distributed. This paper deals with
        
        
          the situation with GR.
        
        
          The paper summarizes three equilibrium models describing
        
        
          arching in GR basal reinforced piled embankments, namely the
        
        
          models of Hewlett and Randolph (1988), Zaeske (2001) and the
        
        
          concentric arches model of Van Eekelen (2013b).
        
        
          It is shown how the three models obtain their load
        
        
          distribution. Hewlett and Randolph (1988) as well as Zaeske
        
        
          (2001) find an equally distribution load on the GR between the
        
        
          piles. The concentric arches model (Van Eekelen et al. 2013b)
        
        
          finds a load concentration on the GR strips, and approximately
        
        
          an inversed triangular load distribution on those GR strips. This
        
        
          is more in accordance with observations in scaled model tests,
        
        
          numerical analysis and field measurements. The considered
        
        
          numerical calculations agree best with the concentric arches
        
        
          model. Measurements in the field agree equally well with the
        
        
          concentric arches model and the model of Zaeske (2001).
        
        
          8 ACKNOWLEDGEMENTS
        
        
          The financial support of Deltares and the financial support and
        
        
          fruitful discussions with manufacturers Naue, TenCate and
        
        
          Huesker for the research is greatly appreciated.
        
        
          9 REFERENCES
        
        
          ASIRI, 2012.
        
        
          
            Recommandations pour la conception, le
          
        
        
          
            dimensionnement, l'exécution et le contrôle de l'amélioration des
          
        
        
          
            sols de fondation par inclusions rigides
          
        
        
          , ISBN: 978-2-85978-462-1
        
        
          (in French with in the appendix a digital version in English).
        
        
          BS8006-1:2010.
        
        
          
            Code of practice for strengthened/reinforced soils and
          
        
        
          
            other fills
          
        
        
          , BSI 2010, ISBN 978-0-580-53842-1.
        
        
          CUR 226, 2010.
        
        
          
            Ontwerprichtlijn paalmatrassystemen (Design
          
        
        
          
            Guideline Piled Embankments
          
        
        
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          EBGEO, 2010 Empfehlungen für den Entwurf und die Berechnung von
        
        
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          2. German Geotechnical Society, Auflage, ISBN 978-3-433-02950-
        
        
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          digital in English ISBN 978-3-433-60093-1.
        
        
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            Geomembranes
          
        
        
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            Zur Wirkungsweise von unbewehrten und bewehrten
          
        
        
          
            mineralischen
          
        
        
          
            Tragschichten
          
        
        
          
            über
          
        
        
          
            pfahlartigen
          
        
        
          
            Gründungselementen
          
        
        
          . Schriftenreihe Geotechnik, Uni Kassel, Heft
        
        
          10, February 2001 (in German).