ࡱ> q Objbjt+t+ AA HF]||||$$$$$$HL$ > lE 8$XQ} = ^ } } ||O} T|"($$||||} V3@rq/$$ $s MEASURING INTERACTION IN REINFORCED SOIL MESURE DE L INTERACTION DANS LA TERRE ARMEE M. Mulabdi & K. Mina~ek Faculty of Civil Engineering, University in Osijek, Republic of Croatia; leta@zg.hinet.hr S. Sesar Civil Engineering Institute of Croatia, Zagreb, Republic of Croatia KEYWORDS: pullout test, soil, interaction, wave, velocity ABSTRACT: A new large pullout-testing device has been developed and specially instrumented for characterisation of an interaction between soil and geosynthetic in a pullout box by measuring wave velocity in the soil around the geosynthetic. The paper presents preliminary results of investigation carried out on several grids in gravel and sand. RESUME: Un nouveau dispositif de grande taille pour les essais larrachement a t dvelopp, quip dinstruments spcifiques pour ltude du mcanisme dinteraction entre le sol et le gosynthtique par la mesure de la vitesse des ondes dans le sol autour du gosynthtique. Larticle dcrit les rsultats prliminaires des essais sur plusieurs rseaux dans le gravier et le sable. 1. INTRODUCTION Reinforced soil is increasingly used in today's engineering structures, enabling construction of steeper slopes, effective supporting wall structures, more rigid road base and subbase layers and improving foundation soil. The geosynthetics prevail as reinforcement material. The most common procedure in designing these structures is to take into account geosynthetic's tensile force with certain factor of safety so that equilibrium is satisfied. The subject of this paper that presents results of the research on geogrid-unbound soil interaction, started recently at the Civil Engineering Faculty - University of Osijek, is study of an interaction between soil and geosynthetic. In order to characterise the soil-geogrid interaction in reinforced soil, soil type (grain size distribution, density) and geogrid type (geometry, type of grid, ribs) need to be included, as well as stress state and influence of soil grain size compared to openings of the grid. When it comes to geogrids, study of rigid grids is easier then that of nonrigid grids. Many researchers studied this phenomenon (Palmeira & Milligan,1989, Jewell, 1990, Bergado and Chai,1994, Mulabdic at al., 1999, and others). The benefit of detecting the interaction mechanism reflects in better understanding of positive effects that the geogrid has on improvement of soil characteristics and characteristics of the composite - the reinforced soil. The choice of grid type for a particular soil and distance between the grids in the reinforced zone should be based on the knowledge of the relevant interaction mechanism. The principal hypothesis is that the soil characteristics improve in the vicinity of the grid due to the interaction, and this improvement decreases with the distance from the grid. The improvement rate and its decrease with the distance characterise the soil-grid interaction. The parameters describing the interaction are an internal friction angle and G modulus in soil. Both of them are sensitive to interlocking effect that is believed to be the most important factor in soil-grid interaction in unbound materials. The pullout test is considered suitable for investigation into this interaction. The research project in progress at the Civil Engineering Faculty in Osijek is focused on studying of the soil-geogrid interaction in an instrumented pullout device, constructed specially for this purpose. Some preliminary results and testing methodology, unused for this purpose in similar investigations so far, will be presented in this paper. 2. TESTING DEVICE There are several standards that refer to the pullout testing: ASTM D6706-01, GRI Test Method GT6 and Draft prEN 13738. These standards set the requirements on the device, testing procedure and interpretation procedure. Based on these demands and measurements intended to be performed in the research, a special GFOS pullout device was constructed (see Fig. 1.a).  Fig. 1 a) specially instrumented GFOS pullout device, b) set up for measurement of wave velocity in the soil. The size of the pullout box is L x B x H = 1.9 x 0.9 x 1.2 m. It consists of six 20 cm high horizontally set rectangular steel elements, put one over another and firmly framed, enabling work with specimens of different height, the maximum being 110 cm. For special testing, the pulling force can be applied at two levels. Vertical pressure is generated by air pressure from airbags placed under the top cover pressed by steel beams connected to the vertical frames fixing the horizontal elements. Maximum pullout force is 80 kN, and it is generated by the air-pressure piston mounted at the box front. Five displacements are measured by the extensometers: piston movement and four points on the grid. Maximum extension is 200 mm and sensitivity is 0.01 mm. Special device was developed and installed for measurement of wave propagation through the soil, in vertical direction, above and below the grid. Small accelerometers are used for the purpose, having acceleration 10 g and sensitivity of 100 mV/g. This device is used to measure the wave velocity in the zones between the accelerometers set at different distances above and bellow the grid level in order to interpret shear modulus of the soil and influence of the soil-reinforcement interaction on its value. Fig. 1.b. shows the basic set up of this device. 3. TESTING PROGRAM AND MATERIALS The testing program comprised two soil materials - well graded gravel and sand, and three geogrids - referred to as A, B, C. Gravel grain size distribution was: 40% grains of 0-4 mm, 25% grains of 4-8 mm, 18% grains of 16-32 mm and 3% grains > 32 mm. Proctor modified effort test gave dry density of 22 Mg/m3 and optimum water content of 4.2%. Due to very high shear strength at this density, gravel was compacted to Proctor standard effort values for the direct shear and pullout tests. Sand gradation was 0-4 mm, with 20% grains over 20 mm, and according to Proctor standard effort dry density of 18.8 Mg/m3 and optimum water content of 7.5 %. Grid A was a rigid biaxial polypropylene grid with openings of approx. 32x32 mm, width of ribs 9 mm and thickness 0.5 mm. Longitudinal and trasverse ribs were glued. Tensile strength of the grid was 60 kN/m'. Grid B was a biaxial rigid polypropylene grid, extruded as a monolith, with tensile strength for the tests presented here of 40 kN/m'. Its openings were 39x39 mm and thickness of ribs was 2 mm, increasing towards knots. Grid C was a more flexible than the first two grids, thin, having ribs of fibres grouped in main direction strips 9 mm wide, and 3 mm wide ribs in transverse direction. Tensile strength was 35 kN/m'. Openings were 35 x 35 mm. Two tests were selected as suitable for study of the soil-geogrid interaction in the program that was performed. The pullout testing was performed on sand and gravel, and the direct shear test was only performed on gravel. The direct shear testing of gravel was conducted in a large apparatus 35 x 35 cm. Gravel was compacted to the standard Proctor effort value (1.9 Mg/m3). When tested in large direct shear box, gravel at this density shows internal friction angle value of 42.70 and apparent cohesion of 9.5 kPa. The pullout testing was performed in gravel and in sand according to the standards, but only the results of tests made on sand are presented here. Sand was compacted to the standard Proctor effort values (1.85 Mg/m3). Material was well graded and had internal friction angle value of 40.60, measured on the material of grain size less than 2 mm in small direct shear box. Measurements of the wave velocity were made before the pullout for the left and right direction of the impact. The accelerometer closest to the top cover was used as the reference for an arriving wave time interval for lower accelerometers. The first arrival was used as a criterion for time intervals between two accelerometers. Gravel had too high internal friction angle so in pullout all the grids were broken in tension, without being pulled out from the soil. The same happened with sand at higher vertical stresses, while the grid was pulled out at small vertical stress. 4. ANALYSIS OF THE TESTING RESULTS Gravel was tested in large direct shear apparatus with and without grid. Shear soil resistance was measured when shear failure plane was just over the grid, 2.5 cm and 5 cm apart from it. The results for peak shear values are presented on Fig. 2. It is obvious that some interaction exists, and that it depends on the type of grid. Generally, an angle of internal friction is about the same but apparent cohesion changes, indicating interlocking effects. The shear resistance improvement in soil reduces rather quickly with distance from the grid: at 5 cm distance from grid the soil shear resistance does not feel presence of the grid, but at 2.5 cm distance there is some improvement. Somewhat unexpected results with very high peak shear resistance were obtained for the grid C. All the tests were performed only once. Residual values (at large displacement) showed that grids with wider strips gave higher friction. It could be due to the fact that wide strips rotate and, having larger surface, they engage the grains being moved trough the shearing zone inducing higher resistance. Special testing of wave propagation was conducted trough the soil in the pullout box. Shear waves were initiated from top of the specimen by special mechanical equipment (impact), and the shear wave velocities were measured between accelerometers put in vertical line at different distances around the grid. Oscilloscope was used for the accelerometer movement recording (Fig. 3a). Such measurements were made at different vertical stresses for one soil and one grid type. Measurement of the shear and compression wave velocities was possible. Based on the measured wave velocities and known soil density, modulus can be calculated as G=vs2/(. For low deformation amplitudes this modulus can be regarded as Go or small strain modulus.  Fig. 2. Direct shear in gravel reinforced by grids (G=gravel, A=A grid, B=B grid, C = C grid, shear plane position: 0 = 0 cm over grid, 2.5 = 2.5 cm over grid, 5 = 5 cm over grid). u slici decimalne zareze kod 2,5 promijeniti u decimalne to ke 2.5, isti princip primijeniti i na donju sliku  a) b) Fig. 3. Shear modulus as interpreted from measurements of wave velocities in sand alone, and sand reinforced with geogrids A and B - mean values of left and right impact are shown. Five accelerometers were used in special pullout testing device for measurement of wave velocities: three above and two bellow the grid. This arrangement covered about 25 cm of soil above and 15 cm of soil bellow the grid (Fig.1.b). The impulse was generated from both left and right side, so that mean values of velocities and modulus from the two impact directions were calculated and results interpreted in Fig. 3. Measurements were made for sand with two grids, A and B, and for sand alone. Several important conclusions can be drawn from the results shown in Fig. 3.: (1) sand with grids has higher G values, especially near the geogrid, (2) the grid B had more pronounced effect on sand than the grid A, (3) G value reduces rather quickly with the distance from the grid, but the gradient of that change depends on the grid type, (4) sand without grid also showed some increase in G depending on the grid position, which probably was influenced by the fact that lower part of the specimen (bellow grid) was precompacted in previous tests and had positive effect on densification of sand above it (5), and it seems that the improved soil characteristics were detected on a larger distance from the grid - about 10 cm, contrary to 3-5 cm zone of influence in big direct shear on gravel (about the maximum grain size). Some researchers advocate that majority of pullout resistance is generated due to friction between soil and geogrid, and others claim opposite. Therefore special pullout testing in sand was made with the grid A - the first test was performed with original grid structure, and then in the second test ribs perpendicular to direction of force were cut of before placement of the grid in the box. The original grid had the pullout resistance of 22.00 kN, and the grid with longitudinal elements had the pullout resistance of 19.62 kN. Therefore, in this case friction was dominant in pullout (89%), while the bearing resistance had very little effect on transverse elements (very thin ribs). The same type of test failed on the grid type B due to tensile failure in both cases. Vertical pressure was ..... kN/m2. During testing under different conditions, it was noticed that sand bellow the grid - if not repaired for a new test - had higher density and higher velocities then sand above the grid, due to accumulated effect of compaction and ageing effect. Also, the velocity (modulus) curves were sometimes not of the form shown on Fig. 5, but had lower values in the zone between the grid and the top accelerometer, were velocities were higher. This could be attributed to the vicinity of the impact point to the top accelerometer. This effect should be further investigated. However, velocities closest to the grid were each time almost the highest. 5. INTERNAL FRICTION ANGLE Total pullout resistance of geogrid depends on vertical stress and soil-grid interaction. Jewell (1990) states that maximal value of the pullout force corresponds to full friction in the soil at the same vertical stress. He uses the so-called bond coefficient to characterise interaction between the soil and reinforcement:  EMBED Equation.3  (1) where fb is bond coefficient, as a measure of apparent friction at ('n, L and W are dimensions of grid. If all the force in pullout were considered as friction on the soil-geosynthetic contact, fb tan( would be a friction coefficient. Grids in gravel could not be pulled out and failure was due to insufficient grid tensile strength. The authors believe that the requirements for grid size (L=2 x W) generate excessive shear forces due to a large surface of the grid exposed to soil-grid interaction so that tensile strength of the grid is inferior to this force. Grids in sand were pulled out at forces given in Table 1. It is clear that the B grid produces higher interaction with sand then grids A and C, which have similar effect. This was also noticed in gravel in direct shear test (Fig. 2) for shear plane just over the grid. Very high values of internal friction angles for low vertical pressure are a consequence of the curved shear strength envelope. But, at moderate vertical pressure of 25 kPa, the angle (300) is significantly lower than the one obtained in sand in direct shear (40.60) and its value is almost corresponding to the residual shear strength value at large shear deformation in direct shear (about 28-320). Table 1. Pullout forces (kN) and corresponding friction angle for fb=1 (eq. 1) for grids in sand ((=40.60) (grid A = 41x109 cm, grid B = 43x109 cm, grid C= 41x105 cm) grid Agrid Bgrid C(v=5 kPa8.35 ((=590)10.5 ((=660)7.75 ((=590)(v=25 kPa13.42 ((=310)/ * ( / )12.30 ((=300)* grid failed in tension 6. CONCLUSIONS The article describes a new concept of measuring soil-geosynthetic interaction and some preliminary testing results. The idea is to characterise soil-geosynthetic interaction by interpreting soil shear modulus based on shear wave velocities measured in soil at different distances from the grid. The measure of this interaction could be expressed in two ways: by the value of G modulus and by its distribution around the grid. If such pattern of the G distribution could be found for different soils and different grids, it could help determine the most effective grid for a particular soil. This could influence the proper choice of grid, distance of layers in reinforced soil and anchoring length. Based on a limited number of preliminary tests made in the special GFOS pullout device, the following conclusions could be drawn: (1) it is possible to measure soil-geogrid interaction by measuring wave velocities in the soil around the grid, (2) G modulus calculated from shear wave velocities in the soil has the highest value at the grid level, and this value decreases with the distance from the grid, (3) G modulus in soil changes differently for different grids, indicating different interaction, (4) the zone of interaction detected by the wave velocity measurement is wider than the zone detected in direct shear. Further and repeated testing as well as development of the system and measuring technique is needed in order to check the hypotheses of interaction effects and their influence on soil characteristics, that in turn could help in improving design principles applied to the reinforced soil. 7. REFERENCES Bergado, D.T. , Chai, J. (1994): Pull-out Force/Displacement Relationship of Extensible Grid Reinforcements, Geotextiles and Geomembranes, Vol. 13, No. 5, pp. 295-316. Farag, K., Acar, B. Y. (1993): Pull-Out Resistance of Geogrid Reinforcement Geotextiles and Geomembranes, Volume 12, pp. 133-159. Ingold, T.S. (1983.): Laboratory Pull-Out Testing of Grid Reinforcements in Sand, Geotechnical Testing Journal, GTJODJ, Vol.6, No.3, Sept., pp101-111 Jewell, R.A. (1990): Reinforcement bond capacity, Geotechnique 40, No. 3, pp. 513- 518. Mulabdi, M., Szavits-Nossan, A. & Kova evi, M.S (1999). Model testing of geosynthetics in reinforced soil, XII ECSMGE , Amsterdam , F.B.J.Barendts at all (editors), Proceedings of the XII ECSMGE, Vol 2, pp 817-822, Balkema, Rotterdam Palmeira, E.M., Milligan, G.W.E, (1989): Scale and other factors affecting the results of pull-out tests of grids buried in sand, Geotechnique 39, No. 3, pp. 511- 524. Wilson-Fahmy, R.F., Koerner, R., Sansone, L.J. (1994.). Experimental Behavior of Polymeric Geogrids in Pullout, Journal of Geotechnical Engineering, Vol. 120, No.4, April, pp 661-677  EMBED AutoCAD.Drawing.15   EMBED Excel.Sheet.8  *,02PRT&VX6 1Bfl!!!!!""""h%%ߞߞߞߞB*CJOJQJmH CJH*OJQJmH CJH*OJQJB*CJOJQJ5CJOJQJ CJOJQJ jUB*CJOJQJmH CJOJQJmH CJOJQJmH OJQJCJmH  CJOJQJ5mH mH 7RTWX6 7 8 H I $dd$ddddRTWX6 7 8 H I /01NO@ABfghijkl !"f%g%h%%%()+,,,,,,,,,,,,,,,,,,,,,,--c /01NO@$d$ddd@ABfghijkl !"f%g%h%%%()+,,,ddd$d%%L,M,N,O,P,,,,,,-h.j.n.x.~.000114477 8 8899=====wi\jCJEHOJQJUjM@ CJOJQJUVjCJOJQJUB*CJH*OJQJmH B*CJOJQJmH B*CJOJQJmH  CJOJQJ jUB*CJOJQJmH CJOJQJmH jCJOJQJUmH  jrCJOJQJmH CJH*OJQJmH CJH*OJQJmH CJOJQJmH B*CJOJQJ$,,,,,,,,,,,,,,,,,,,,-f.h.l.n.p.v.x.dd$dd-f.h.l.n.p.v.x.~../000000 0 0 0 0 000000000025 9;;;;;==P=Q==>??@cA&B'B(BBBBBBBBBBBC CCCC!C'C/C3C9C?CGCHCbCcCdCtCuCDHIIIII?JzJJJnKKKLMNaNNOROSOdx.~../00000 0 0 0 0 000000000025 9;dd$dd;;;;;==P=Q==>??@cA&B'B(BBBBBBB$d$$d$d$d4 ddd ]==Q=X=Y=====>>>>=>OAPAAA!B"B%BkBlBBBBBBBBBBBBBCCCCCCCCCCC(C)C,C-C폇}}}폇} jjCJOJQJCJH*OJQJ jsCJOJQJCJH*OJQJ jjCJOJQJCJH*OJQJ CJOJQJCJH*OJQJ jjCJOJQJmH  jsCJOJQJmH CJH*OJQJmH CJOJQJmH  CJOJQJjCJOJQJU1BBBBBC CCCC!C'C/C3C9C?CGCHCbCd$$T  D$d$'$$T  D-C@CACDCECHCbCtCuCIIIJKLMNROSOTOoOpOqOrOtOuOOOOOOO j;!Uj&B CJOJQJUVmH jJUjaA UV jUCJOJQJmH CJ5CJOJQJ CJOJQJCJH*OJQJ jjCJOJQJ CJOJQJbCcCdCtCuCDHIIIII?JzJJJnKKKLMaNd$dddddd$d$daNNOROSOsOtOOOOOOOOOOOOdd$dSOsOtOOOOOOOOOOOO +0P. 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'~:i+1l`@ۿULd8 5    ''   Arial CE- Arial CE- Arial CE-----"System-'-  -'-   - "- $rr@@ "- "---'--- Dre1{ rrrr---'---  e1{ "- r@r@---'---  "- @-@m@mmmm@@rV@V@Vr@r---'---  ---'--- Xn---'--- Un - "-=&rCLLr~- "- m---'--- Un  ---'--- Unr a---'--- Un=- "-  Q+ "- =,=N=N=,---'--- Un "-  + "- ( ( ---'--- Un&r "-  :` "- &ra&r7&r7a&r---'--- Un- "-   $---'-- -  Un  $ ---'-- -  Unr  $ryary---'-- -  Unr - "-   &]---'---  UnC "-   [- "-  C.CXCXC.C.CX---'---  UnL "-   d6 "-  L7LaLaL7L7La---'---  Unr "-    \ "-  r]r r ]rrrr r---'---  Unr-  "-  a---'-- - UnO - "-  g9 "- O:OdOOOO---'-- - Un "-  k "- l---'-- - Un[r "-  sE\ "- [rFr[rpr[r[][r[---'-- - Un $/---'-- - Unr $rr ]r---'-- - Un---'-- - Xn---'-- -  ---'-- -  ---'-- - Cv---'-- - @s -   "-   r "- }5B(UUUU9875- $|wx}x- r- 77}- $|1 }> $:;;e $de{ $u#M$ZS$<N $M6NC $   6 $56 ${S`YB $<hi!Ii $  $PQQxr- -@@5B(wwBG- $~<uvE v-  r- }- $|} $ $= $<yRnSz=tS^} $|XMY}dS= $7,8C2 $ #= $<RS=S} $|} $ $x> $=rRgSt>mSW~ $}QFS~^L6 $0%2=+ $ > $=RS>S~ $}~ $ $q> $=kS`Tl>wfTSxSr- --'--  Cv--'--   --'--   --'--   --'--     2 #0) 2 50)) 2 100))) 2 150))) 2 ~200)))--'--   --'--     2 ~o0) 2 ~50)) 2 ~5100)))--'--   -----'--  :9 %2 DVERTICAL STRESS, kPa115.53-1.5111)1)---'--   ----'--    M  Arial CE- 2 _SHEAR STRESS, kPa- ---'--   - "- -  f1{---'---  d0|---'---  d0| "-   D- "-   U3 2 G4---'---  d0|---'---  d0| "-   D- "-   $X2 "-  D3D!UD!3DU 2 B0-%---'---  d0|---'---  d0| "-  p ppD- "-    $D_U3D_ 2 IB2,5-%%---'-- -  d0|---'-- -  d0| "-   D - "-   X0 2 B5-%---'-- -  d0|---'-- -  d0| "-  1 11D -  "-   H[/ "-  1D01DEX1DE01DX1DD1DED 2 A0-%---'-- -  d0|---'-- -  d0| "-   D-  "-   V3 2 kA2,5-%%---'-- -  d0|---'-- -  d0| "-   D - "-    [/ "-  DDDDD0DX 2 C00%---'-- -  d0|---'-- -  d0| "-  S SSD -  "-   $D?XSDg0SD? 2 ,C2,50%%---'-- -  d0|---'-- -  d0|  "-    D 2 B0-%---'-- -  d0|---'-- -  d0|-  5B(UUUULvL~-   $  - D 2 G4--'--  d0|--'--  d0|- p p-  $jXjXvvpXpp- pD 2 NB2,5-%%--'--  d0|--'--  d0|- 5B(wwGO-   $- D 2 C00%--'--  d0|--'--  d0|- 1 1-  $++7711L $L+d+d7L71d11- 1D 2 A0-%--'--  d0|--'--   --'--   - -'   '  'CompObj fObjInfo WorkbookSummaryInformation(       !"#$%&'()*+,-./0123456789:;<=>?@CdTEFGHIJKLMNOPQRSUWXYZ[\]^_`abc  A\pSabina Ba= f'H=g<X@"1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Arial1Symbol1Arial1Arial1Arial1Arial1Arial1Arial1 Arial CE1 Arial CE1 Arial CE1 OArial CE1 OArial CE1 1Arial CE1 cArial CE1 1Arial CE1 cArial CE1 @Arial CE#,##0\ "Kn";\-#,##0\ "Kn"##,##0\ "Kn";[Red]\-#,##0\ "Kn"$#,##0.00\ "Kn";\-#,##0.00\ "Kn")$#,##0.00\ "Kn";[Red]\-#,##0.00\ "Kn">*9_-* #,##0\ "Kn"_-;\-* #,##0\ "Kn"_-;_-* "-"\ "Kn"_-;_-@_->)9_-* #,##0\ _K_n_-;\-* #,##0\ _K_n_-;_-* "-"\ _K_n_-;_-@_-F,A_-* #,##0.00\ "Kn"_-;\-* #,##0.00\ "Kn"_-;_-* "-"??\ "Kn"_-;_-@_-F+A_-* #,##0.00\ _K_n_-;\-* #,##0.00\ _K_n_-;_-* "-"??\ _K_n_-;_-@_->9_-* #,##0\ _k_n_-;\-* #,##0\ _k_n_-;_-* "-"\ _k_n_-;_-@_-FA_-* #,##0.00\ _k_n_-;\-* #,##0.00\ _k_n_-;_-* "-"??\ _k_n_-;_-@_-                  , *   @ @ *0@ @ "0@ @ " "P "p@ @   (@ @  "p   (  @ "0@ "p@ #   h@ @   `@ @  !   .0@@ .0 @ .0@ @ .0@ &0@ @ &0@ & "0 83ffff̙3f3fff3f3f33333f33333\`;Chart1, TABELA NAPONA] SLIKA-VRSNA{SLIKA-REZIDUALNA) pomocni racunSheet3ZR3  @@  V] MATERIJALNORMALNI NAPONVR`NO REZIDUALNOPOSMI NI NAPONpripadna deformacijakPamm`LJUNAKTENSARTENSAR - 2,5cm TENSAR - 5cmFORTRACFORTRAC - 2,5cmSECUGRIDSECUGRID - 2,5 cmVR`NE VRSTOEkut trenja, f = 42,7o kohezija, c =9,5 kPa(na plohi posmika)(2,5 cm ispod plohe posmika)49,2o 49,4o 23,5 kPa1,5 kPa59,2o 1 kPa48,1o 47,2o 16 kPa6 kPaREZIDUALNE VRSTOE43,3o 45,8o 5 kPa0 kPa54,4o 48,7o 51,6o 3 kPa13 kPaVR`NA REZIDUALNAf=42,7o y = 0,9229x + 9,5c=9,5kPaf=49,2o y = 1,1571x + 23,5f=43,3o y = 0,9429x + 5 c=23,5kPac=5kPa TENSAR 2,5cmf=49,4o 2,5 cmf=45,8o y = 1,08x - 4c=1,5kPay = 1,1686x + 1,5c=0kPa y = 1,0267x TENSAR 5cmf=59,2o y = 1,9371x - 8f=54,4o y = 1,4743x - 6c=1kPa y = 1,68x + 1 y = 1,3943xFORTRAC 2,5 cmf=48,1o y = 1,1143x + 16f=48,7o y = 1,1397x + 2,95c=16kPac=3kPaSECUGRID 2,5 cmf=47,2o f=51,6o y = 1,26x - 13c=6kPa y = 1,08x + 6c=13kPa`A0A25A50B0B25C0C25Z  ux|vaiJX0]Ae>]br0bJIub,D04 lAA?b\BJBIr0bb bnIRbT0b`S0bt00bktbT0^n00b 00Ԣ0bbb0bbtb0bp,bPercent0]5.6`40Y,!5/ bΝ0v|b0ZT0_T0=l0_T0# Cpb 0 JHbT0$ b*WRH(Jb@` ` >` -<32d 3Q GQ ;#%Q ;#%Q3_ M NM   4E4 3Q B0Q ;#% Q ;#%Q3_ M NM  43_ M NM  4E4 3Q  B2,5Q ;#% Q ;#%Q3_ M NM  "4E4 3Q B5Q ;#% Q ;#%Q3_ M NM  N4E4 3Q A0Q ;#% Q ;#%Q3_ M NM  N43_ M NM  N4E4 3Q  A2,5Q ;#% Q ;#%Q3_ M NM  %%4E4 3Q C0Q ;#%Q ;#%Q3_ M NM   N4E4 3Q  C2,5Q ;#%Q ;#%Q3_ M NM  N4E4 3Q B0QQQ3_ O NM  MM<4JK9@4 3Q GQQQ 3_ O NM  MM<4JK9@4 3Q  B2,5QQQ 3_ O NM  MM<4JK9@4 3Q C0QQQ 3_ O NM  MM<4JK9@4 3Q A0QQQ 3_ O NM  MM<4JK9@4D$% M 3O&Q4$% M 3O&Q4FAt 3O=g  3*Y@I@I@#M&43*I@I@#M&! 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Proctor modified effort test gave dry density of 22 Mg/m3 and optimum water content of 4.2%. Due to very high shear strength at this density, gravel was compacted to Proctor standard effort values for the direct shear and pullout tests. Sand gradation was 0-4 mm, with 20% grains over 20 mm, and according to Proctor standard effort dry density of 18.8 Mg/m3 and optimum water content of 7.5 %. Grid A was a rigid biaxial polypropylene grid with openings of approx. 32x32 mm, width of ribs 9 mm and thickness 0.5 mm. Longitudinal and trasverse ribs were glued. Tensile strength of the grid was 60 kN/m'. Grid B was a biaxial rigid polypropylene grid, extruded as a monolith, with tensile strength for the tests presented here of 40 kN/m'. Its openings were 39x39 mm and thickness of ribs was 2 mm, increasing towards knots. Grid C was a more flexible than the first two grids, thin, having ribs of fibres grouped in main direction strips 9 mm wide, and 3 mm wide ribs in transverse direction. Tensile strength was 35 kN/m'. Openings were 35 x 35 mm. Two tests were selected as suitable for study of the soil-geogrid interaction in the program that was performed. The pullout testing was performed on sand and gravel, and the direct shear test was only performed on gravel. The direct shear testing of gravel was conducted in a large apparatus 35 x 35 cm. Gravel was compacted to the standard Proctor effort value (1.9 Mg/m3). When tested in large direct shear box, gravel at this density shows internal friction angle value of 42.70 and apparent cohesion of 9.5 kPa. The pullout testing was performed in gravel and in sand according to the standards, but only the results of tests made on sand are presented here. Sand was compacted to the standard Proctor effort values (1.85 Mg/m3). Material was well graded and had internal friction angle value of 40.60, measured on the material of grain size less than 2 mm in small direct shear box. Measurements of the wave velocity were made before the pullout for the left and right direction of the impact. The accelerometer closest to the top cover was used as the reference for an arriving wave time interval for lower accelerometers. The first arrival was used as a criterion for time intervals between two accelerometers. Gravel had too high internal friction angle so in pullout all the grids were broken in tension, without being pulled out from the soil. The same happened with sand at higher vertical stresses, while the grid was pulled out at small vertical stress. 4. ANALYSIS OF THE TESTING RESULTS Gravel was tested in large direct shear apparatus with and without grid. Shear soil resistance was measured when shear failure plane was just over the grid, 2.5 cm and 5 cm apart from it. The results for peak shear values are presented on Fig. 2. It is obvious that some interaction exists, and that it depends on the type of grid. Generally, an angle of internal friction is about the same but apparent cohesion changes, indicating interlocking effects. The shear resistance improvement in soil reduces rather quickly with distance from the grid: at 5 cm distance from grid the soil shear resistance does not feel presence of the grid, but at 2.5 cm distance there is some improvement. Somewhat unexpected results with very high peak shear resistance were obtained for the grid C. All the tests were performed only once. Residual values (at large displacement) showed that grids with wider strips gave higher friction. It could be due to the fact that wide strips rotate and, having larger surface, they engage the grains being moved trough the shearing zone inducing higher resistance. Special testing of wave propagation was conducted trough the soil in the pullout box. Shear waves were initiated from top of the specimen by special mechanical equipment (impact), and the shear wave velocities were measured between accelerometers put in vertical line at different distances around the grid. Oscilloscope was used for the accelerometer movement recording (Fig. 3a). Such measurements were made at different vertical stresses for one soil and one grid type. Measurement of the shear and compression wave velocities was possible. Based on the measured wave velocities and known soil density, modulus can be calculated as G=vs2/(. For low deformation amplitudes this modulus can be regarded as Go or small strain modulus.  Fig. 2. Direct shear in gravel reinforced by grids (G=gravel, A=A grid, B=B grid, C = C grid, shear plane position: 0 = 0 cm over grid, 2.5 = 2.5 cm over grid, 5 = 5 cm over grid). u slici decimalne zareze kod 2,5 promijeniti u decimalne to ke 2.5, isti princip primijeniti i na donju sliku  a) b) Fig. 3. Shear modulus as interpreted from measurements of wave velocities in sand alone, and sand reinforced with geogrids A and B - mean values of left and right impact are shown. Five accelerometers were used in special pullout testing device for measurement of wave velocities: three above and two bellow the grid. This arrangement covered about 25 cm of soil above and 15 cm of soil bellow the grid (Fig.1.b). The impulse was generated from both left and right side, so that mean values of velocities and modulus from the two impact directions were calculated and results interpreted in Fig. 3. Measurements were made for sand with two grids, A and B, and for sand alone. Several important conclusions can be drawn from the results shown in Fig. 3.: (1) sand with grids has higher G values, especially near the geogrid, (2) the grid B had more pronounced effect on sand than the grid A, (3) G value reduces rather quickly with the distance from the grid, but the gradient of that change depends on the grid type, (4) sand without grid also showed some increase in G depending on the grid position, which probably was influenced by the fact that lower part of the specimen (bellow grid) was precompacted in previous tests and had positive effect on densification of sand above it (5), and it seems that the improved soil characteristics were detected on a larger distance from the grid - about 10 cm, contrary to 3-5 cm zone of influence in big direct shear on gravel (about the maximum grain size). Some researchers advocate that majority of pullout resistance is generated due to friction between soil and geogrid, and others claim opposite. Therefore special pullout testing in sand was made with the grid A - the first test was performed with original grid structure, and then in the second test ribs perpendicular to direction of force were cut of before placement of the grid in the box. The original grid had the pullout resistance of 22.00 kN, and the grid with longitudinal elements had the pullout resistance of 19.62 kN. Therefore, in this case friction was dominant in pullout (89%), while the bearing resistance had very little effect on transverse elements (very thin ribs). The same type of test failed on the grid type B due to tensile failure in both cases. Vertical pressure was ..... kN/m2. During testing under different conditions, it was noticed that sand bellow the grid - if not repaired for a new test - had higher density and higher velocities then sand above the grid, due to accumulated effect of compaction and ageing effect. Also, the velocity (modulus) curves were sometimes not of the form shown on Fig. 5, but had lower values in the zone between the grid and the top accelerometer, were velocities were higher. This could be attributed to the vicinity of the impact point to the top accelerometer. This effect should be further investigated. However, velocities closest to the grid were each time almost the highest. 5. INTERNAL FRICTION ANGLE Total pullout resistance of geogrid depends on vertical stress and soil-grid interaction. Jewell (1990) states that maximal value of the pullout force corresponds to full friction in the soil at the same vertical stress. He uses the so-called bond coefficient to characterise interaction between the soil and reinforcement:  EMBED Equation.3  (1) where fb is bond coefficient, as a measure of apparent friction at ('n, L and W are dimensions of grid. If all the force in pullout were considered as friction on the soil-geosynthetic contact, fb tan( would be a friction coefficient. Grids in gravel could not be pulled out and failure was due to insufficient grid tensile strength. The authors believe that the requirements for grid size (L=2 x W) generate excessive shear forces due to a large surface of the grid exposed to soil-grid interaction so that tensile strength of the grid is inferior to this force. Grids in sand were pulled out at forces given in Table 1. It is clear that the B grid produces higher interaction with sand then grids A and C, which have similar effect. This was also noticed in gravel in direct shear test (Fig. 2) for shear plane just over the grid. Very high values of internal friction angles for low vertical pressure are a consequence of the curved shear strength envelope. But, at moderate vertical pressure of 25 kPa, the angle (300) is significantly lower than the one obtained in sand in direct shear (40.60) and its value is almost corresponding to the residual shear strength value at large shear deformation in direct shear (about 28-320). Table 1. Pullout forces (kN) and corresponding friction angle for fb=1 (eq. 1) for grids in sand ((=40.60) (grid A = 41x109 cm, grid B = 43x109 cm, grid C= 41x105 cm) grid Agrid Bgrid C(v=5 kPa8.35 ((=590)10.5 ((=660)7.75 ((=590)(v=25 kPa13.42 ((=310)/ * ( / )12.30 ((=300)* grid failed in tension 6. CONCLUSIONS The article describes a new concept of measuring soil-geosynthetic interaction and some preliminary testing results. The idea is to characterise soil-geosynthetic interaction by interpreting soil shear modulus based on shear wave velocities measured in soil at different distances from the grid. The measure of this interaction could be expressed in two ways: by the value of G modulus and by its distribution around the grid. If such pattern of the G distribution could be found for different soils and different grids, it could help determine the most effective grid for a particular soil. This could influence the proper choice of grid, distance of layers in reinforced soil and anchoring length. Based on a limited number of preliminary tests made in the special GFOS pullout device, the following conclusions could be drawn: (1) it is possible to measure soil-geogrid interaction by measuring wave velocities in the soil around the grid, (2) G modulus calculated from shear wave velocities in the soil has the highest value at the grid level, and this value decreases with the distance from the grid, (3) G modulus in soil changes differently for different grids, indicating different interaction, (4) the zone of interaction detected by the wave velocity measurement is wider than the zone detected in direct shear. Further and repeated tests as well as development of the system and measuring technique is needed in order to check the hypotheses of interaction effects and their influence on soil characteristics, that in turn could help in improving design principles applied to the reinforced soil. 7. REFERENCES Bergado, D.T. , Chai, J. (1994): Pull-out Force/Displacement Relationship of Extensible Grid Reinforcements, Geotextiles and Geomembranes, Vol. 13, No. 5, pp. 295-316. Farag, K., Acar, B. Y. (1993): Pull-Out Resistance of Geogrid Reinforcement Geotextiles and Geomembranes, Volume 12, pp. 133-159. Ingold, T.S. (1983.): Laboratory Pull-Out Testing of Grid Reinforcements in Sand, Geotechnical Testing Journal, GTJODJ, Vol.6, No.3, Sept., pp101-111 Jewell, R.A. (1990): Reinforcement bond capacity, Geotechnique 40, No. 3, pp. 513- 518. Mulabdi, M., Szavits-Nossan, A. & Kova evi, M.S (1999). Model testing of geosynthetics in reinforced soil, XII ECSMGE , Amsterdam , F.B.J.Barendts at all (editors), Proceedings of the XII ECSMGE, Vol 2, pp 817-822, Balkema, Rotterdam Palmeira, E.M., Milligan, G.W.E, (1989):  Scale and other factors affecting the results of pull-out tests of grids buried in sand , Geotechnique 39, No. 3, pp. 511- 524. Wilson-Fahmy, R.F., Koerner, R., Sansone, L.J. (1994.). 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