<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">OALibJ</journal-id><journal-title-group><journal-title>Open Access Library Journal</journal-title></journal-title-group><issn pub-type="epub">2333-9705</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/oalib.1102655</article-id><article-id pub-id-type="publisher-id">OALibJ-69304</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Biomedical&amp;Life Sciences</subject><subject> Business&amp;Economics</subject><subject> Chemistry&amp;Materials Science</subject><subject> Computer Science&amp;Communications</subject><subject> Earth&amp;Environmental Sciences</subject><subject> Engineering</subject><subject> Medicine&amp;Healthcare</subject><subject> Physics&amp;Mathematics</subject><subject> Social Sciences&amp;Humanities</subject></subj-group></article-categories><title-group><article-title>
 
 
  Improving Rutting Resistance of Flexible Pavement Using Geosynthetics
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ahmed</surname><given-names>Ebrahim Abu El-Maaty</given-names></name><xref ref-type="aff" rid="aff1"><sub>1</sub></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib></contrib-group><aff id="aff1"><label>1</label><addr-line>Faculty of Engineering, Civil Engineering Department, Menoufia University, Shibin Elkom, Egypt</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>maaty5000@yahoo.com</email></corresp></author-notes><pub-date pub-type="epub"><day>31</day><month>05</month><year>2016</year></pub-date><volume>03</volume><issue>05</issue><fpage>1</fpage><lpage>11</lpage><history><date date-type="received"><day>14</day>	<month>April</month>	<year>2016</year></date><date date-type="rev-recd"><day>accepted</day>	<month>20</month>	<year>May</year>	</date><date date-type="accepted"><day>23</day>	<month>May</month>	<year>2016</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
   
   Unbound base layers deform under load and contribute to the accumulation of ruts. Therefore, this study was concerned with studying the effect of reinforcement on the behavior of unbound granular material that used in flexible pavement layers as a base course. Two main geothynthetic types were used in this study. These types were woven geotextile and geogrid. Two geogrid opening sizes were used (GR105 and GR420). The experimental work was designed to evaluate plastic and elastic deformation and the modulus of elasticity of reinforced limestone base course. This experimental work carried out utilizing the static plate loading test in a test-model which simulated the subgrade and base course of the flexible pavement. The effect of base thickness, geogrid depth, modulus of elasticity of base course and geogrid edges fixation on the deformation characteristics were studied. Furthermore, the effect of loading time on the accumulated deformation was investigated. Moreover, the effect of reinforcement on base thickness saving (BCR) and deformation reduction ratio (DRR) was studied. A great influence for reinforcement especially with geogrid (GR420) was observed in improving the deformation characteristics of base course. 
  
 
</p></abstract><kwd-group><kwd>Flexible Pavement</kwd><kwd> Geosynthetics</kwd><kwd> Deformation</kwd><kwd> Base Course</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Major pavement deteriorations, similar to those observed in some Egyptian roads, especially in Delta region, result basically from permanent deformation in base course or subgrade soil. This deformation causes alligator or map cracking, chuck holes, settlement and undulations. In recent years, geosynthetics have been proposed and used to improve the performance of paved roadways. The major functions of geosynthetic materials are separation, reinforcement, filtration, drainage and liquid barrier. In providing reinforcement, the geosynthetic material structurally strengthens the pavement section by changing the response of the pavement to loading. Studies to date have found that incorporation of geosynthetics in flexible pavement provides a degree of performance improvement. A few studies have tried to quantify the benefits of geosynthetic reinforcement, but no firm conclusions can be drawn due to differences of results. Thus, an important need exists to quantify the benefits derived from stabilizing flexible pavements with geosynthetics and the conditions necessary for successful geosynthetic stabilization if an adequate cost comparison is to be made.</p><p>Fannin and Sigurdsson (1996) [<xref ref-type="bibr" rid="scirp.69304-ref1">1</xref>] conducted a field test on five reinforced and unreinforced sections of unpaved road. The reinforced sections (with geotextile or geogrid) obtained significant improvement on traffic ability. The improvement was the greatest for the thinner layers of base course (25 - 30 cm). Perkins (1999) [<xref ref-type="bibr" rid="scirp.69304-ref2">2</xref>] investigated the mechanistic response of geosynthetic-reinforced flexible pavement by using laboratory cyclic loading plate tests. The test results showed a significant improvement in the permanent deformation due to geosynthetic reinforcement. A 150 m long secondary road was observed by Appea and Al-Qadi (2003) [<xref ref-type="bibr" rid="scirp.69304-ref3">3</xref>] to quantify the benefits of geosynthetics. Analysis of Falling Weight Deflectometer (FWD) data indicated that the control section had the greatest rutting, followed by the geogrid stabilized section, while the geotextile stabilized section had the least amount of rutting. A laboratory research program was performed in a large steel box by Tingle and Jersey (2005) [<xref ref-type="bibr" rid="scirp.69304-ref4">4</xref>] . The results indicated that the use of a geotextile only provided the lowest permanent deformation, followed by sections including both the geotextile and geogrid. While the geogrid reinforced section resulted in similar permanent deformation as the control section.</p><p>The improvement in plastic surface deformation base course was investigated by Leng and Gabr (2002) [<xref ref-type="bibr" rid="scirp.69304-ref5">5</xref>] using two types of geogrids (BX1 and BX2). Higher modulus geogrid BX2 provided a better effect in reducing the plastic surface deformation. Demerchant et al. (2002) [<xref ref-type="bibr" rid="scirp.69304-ref6">6</xref>] performed plate load tests using a diameter plate (B) of 305 mm to study the effect of the geogrid depth (u) on subgrade modulus. The results indicate that the subgrade modulus decreases as u/B increases. Moreover, the most recent work by Gabr and Hart (2000) [<xref ref-type="bibr" rid="scirp.69304-ref7">7</xref>] reported that the elastic modulus decreased with increasing depth of the top geogrid layer. The results of laboratory and field tests performed by Mirafi Construction Products (2004) [<xref ref-type="bibr" rid="scirp.69304-ref8">8</xref>] indicated that geosynthetic type affected the pavement performance. The base course reduction (BCR) which expressed as a percentage savings of the unreinforced base thickness reached to 22% - 33% with using geotextile as base reinforcement while BCR reached to 30% - 50% using geogrid. Hoe and Weng (2001) [<xref ref-type="bibr" rid="scirp.69304-ref9">9</xref>] produced that inclusion of geotextiles at the base layer-subgrade interface resulted in reduction in rut depth. Non-woven geotextiles showed a better rut improvement. Gurung (2003) [<xref ref-type="bibr" rid="scirp.69304-ref10">10</xref>] indicated that the use of geosynthatics increased the tensile strength and the tensile strength of a pavement reinforced using a geogrid was higher than using geotextile.</p><p>In granular material layers, the mechanism of rut depth reduction through geosynthetic reinforcement may be explained the Lateral movements are prevented by aggregate confinement, leading to increase in bulk stress, and aggregate layer stiffness, along with decrease in vertical stress on top of subgrade and vertical compressive strain reduction in lower half of base and in the subgrade. Over the period of pavement construction, there are usually two feasible alternatives for ground improvement, namely, soil stabilization and geosynthetic reinforcement. At times, some of the contractors prefer to use geosynthetics to reinforce subgrade [<xref ref-type="bibr" rid="scirp.69304-ref11">11</xref>] - [<xref ref-type="bibr" rid="scirp.69304-ref15">15</xref>] . An experimental program was presented in this research, aimed to study the effect of using geosynthetic reinforcement on the deformation characteristics of granular material that used as a base course. A pavement model containing a base course layer above a subgrade soil was prepared to simulate the field condition. The experimental program included many variables such as base course thickness, moisture contents, position of the geogrid layer and the geogrid opening size.</p></sec><sec id="s2"><title>2. Methodology</title><p>An experimental program was carried out to investigate the influence of geothynthetic as reinforcement for the granular base layer of a flexible pavement constructed on silty subgrade. Plate loading test was performed as a control test to evaluate the deformation characteristics and bearing capacity of reinforced and unreinforced base course.</p><sec id="s2_1"><title>2.1. Subgrade and Base Material</title><p>A silty soil was used as subgrade. Crushed limestone was used as a base course. The grain size distributions as well as the grading limits according to AASHTO specifications for subgrade soil and base course are illustrated in <xref ref-type="fig" rid="fig1">Figure 1</xref> and <xref ref-type="fig" rid="fig2">Figure 2</xref>. These soils were tested against Atterberg limits and maximum dry density. The physical and mechanical properties for subgrade and base course are presented in <xref ref-type="table" rid="table1">Table 1</xref> and <xref ref-type="table" rid="table2">Table 2</xref>.</p></sec><sec id="s2_2"><title>2.2. Geothynthetic Material</title><p>Two polyethylene geogrids (GR105 and GR420) with different opining size as shown in <xref ref-type="fig" rid="fig3">Figure 3</xref> were used in this study. The geogrids thickness was 1.6 mm, the rhomb opening areas were 105 and 420 mm<sup>2</sup> respectively. As shown in <xref ref-type="fig" rid="fig3">Figure 3</xref>, the woven geotextile used in this study was locally manufactured as 45 tapes/10cm. <xref ref-type="table" rid="table3">Table 3</xref> shows the tensile strength, the maximum elongation and the modulus of elasticity for both geogrids and geotextile.</p><fig id="fig1"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> Grain size distribution for subgrade soil</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/69304x6.png"/></fig><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> Grain size distribution for base course</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/69304x7.png"/></fig><fig id="fig3"  position="float"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title> Geosynthetics used in study</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/69304x8.png"/></fig><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Physical properties of subgrade soil and base course</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Test</th><th align="center" valign="middle" >Subgrade soil</th><th align="center" valign="middle" >Base course</th></tr></thead><tr><td align="center" valign="middle" >Natural moisture content, % Liquid Limit, % Plastic Limit, % Specific Gravity, gm/cm<sup>3</sup> Loose density, gm/cm<sup>3</sup> Maximum dry density, gm/cm<sup>3</sup> Optimum moisture content, % AASHTO classification group Unified classification group</td><td align="center" valign="middle" >7.0 54.0 40.0 2.68 1.33 1.665 16.0 A-7-5 MH</td><td align="center" valign="middle" >1.30 19.0 13.6 2.65 1.70 2.12 7.13 A-2-4 GP</td></tr></tbody></table></table-wrap><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Mechanical properties of subgrade soil and base course</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Test</th><th align="center" valign="middle" >Subgrade soil</th><th align="center" valign="middle" >Base course</th></tr></thead><tr><td align="center" valign="middle" >Cohesion (N/mm<sup>2</sup>) Internal friction(o) CBR (%) Unconfined comp. strength (N/mm<sup>2</sup>) Modulus of elasticity (N/mm<sup>2</sup>)</td><td align="center" valign="middle" >0.067 19 8.8 0.165 4.88</td><td align="center" valign="middle" >0.055 23 97.0 - 45.0</td></tr></tbody></table></table-wrap><table-wrap id="table3" ><label><xref ref-type="table" rid="table3">Table 3</xref></label><caption><title> Properties of geogrid and geotextile</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  >Geosynthetic Type</th><th align="center" valign="middle"  colspan="2"  >Geogrid Type</th><th align="center" valign="middle"  rowspan="2"  >Geotextile</th></tr></thead><tr><td align="center" valign="middle" >GR105</td><td align="center" valign="middle" >GR420</td></tr><tr><td align="center" valign="middle" >Tensile strength (kN/m<sup>\</sup>)</td><td align="center" valign="middle" >5.70</td><td align="center" valign="middle" >1.65</td><td align="center" valign="middle" >1.71</td></tr><tr><td align="center" valign="middle" >Elongation at Max. Load (%)</td><td align="center" valign="middle" >50</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >34</td></tr><tr><td align="center" valign="middle" >Modulus of Elasticity (N/mm<sup>2</sup>)</td><td align="center" valign="middle" >62.63</td><td align="center" valign="middle" >22.9</td><td align="center" valign="middle" >34.9</td></tr></tbody></table></table-wrap></sec><sec id="s2_3"><title>2.3. The Test-Model Description</title><p>The test-mode consisted of a square iron box 0.5 m wide by 0.5 m long and 0.5 m depth. This box divided into two halves containing two layers, 0.25 m depth subgrade, and limestone base course with 10, 15 and 25 cm depths. The geosynthetic layer was placed at the interface between subgrade and base course and at different depths inside the base layer.</p></sec><sec id="s2_4"><title>2.4. Preparation of Tests</title><p>Initially, the subgrade soil was prepared by adding optimum moisture content and compacted in five layers. Then, the geosynthetic was incorporated in the aggregate at a specified location. After that, the base course material was prepared by adding the optimum moisture content (8%). Finally, the base course material was compacted in layers to obtain thickness of 10, 15 and 25 cm. At 25 cm base thickness for reinforced and unreinforced sections, four moisture contents were used (OMC−2%, OMC, OMC+1.5%, OMC+3%).</p></sec><sec id="s2_5"><title>2.5. Applied Vertical Pressure</title><p>In this study, a contact pressure of 0.5 N/mm<sup>2</sup> (70 Ib/in<sup>2</sup>) on asphalt surface layer was considered. BISAR-Linear elastic program was used to calculate the vertical stress at the surface of base course considering 5.0 cm asphalt wearing course and 5.0 cm asphalt binder coarse. The results indicated that vertical stress decreased to 0.35 N/mm<sup>2</sup> on the top of the base course.</p></sec><sec id="s2_6"><title>2.6. Plate Loading Test</title><p>An initial static pressure of 0.0875 N/mm<sup>2</sup> was applied on the steel plate by using the loading head, the deflection was allowed to reach a maximum (waiting time about 20 min.). As shown in <xref ref-type="fig" rid="fig4">Figure 4</xref>, the deflection was measured at the plate center as well as at the other points across the test-model center line. Then, the pressure increased to 0.35 N/mm<sup>2</sup> in 0.0875 N/mm<sup>2</sup> increments. The elastic modulus could be calculated as follows:</p><disp-formula id="scirp.69304-formula29"><label>(1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/69304x9.png"  xlink:type="simple"/></disp-formula><p>where:</p><p>E: modulus of elasticity (Mpa);</p><p>p: uniform applied pressure (Mpa);</p><p>a: radius of circular plate (mm);</p><p>w: deflection corresponding to the third load on the rigid plate (mm).</p></sec></sec><sec id="s3"><title>3. Analysis of Experimental Results</title><p>The plate loading test result for unreinforced 10 cm base course is shown in <xref ref-type="fig" rid="fig5">Figure 5</xref>. Static load test is applied and released three times on the base course material. Initially, it can be noticed that, the cumulative deformation of the first load cycle under the plate increased rapidly with increasing the vertical pressure on the plate .When the total load released and the material took a sufficient time to rebound, one part of vertical deflection was return and the residual part was remained. The returned division represents the elastic deformation, while the remained division symbolizes the plastic deformation. The rate of accumulated deformation became slightly in the second and third load cycle because of the base material has already deformed and compacted in the first load cycle.</p><fig id="fig4"  position="float"><label><xref ref-type="fig" rid="fig4">Figure 4</xref></label><caption><title> Plat loading test at 25 cm base thickness</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/69304x10.png"/></fig><fig id="fig5"  position="float"><label><xref ref-type="fig" rid="fig5">Figure 5</xref></label><caption><title> Cyclic loading test for unreinforced section</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/69304x11.png"/></fig><p>The major objectives of this research were studying the influence of reinforcement, moisture contents of base course and geogrid fixation on elastic and plastic deformation. Moreover, the effect of base thickness, geogrid position and loading time on the deformation characteristics were investigated. For each base course thickness, reinforced sections (RS) and unreinforced sections (URS) were performed.</p><sec id="s3_1"><title>3.1. Effect of Reinforcement on Modulus of Elasticity</title><p>The amount of total deformation and the modulus of elasticity (E) values for each reinforcement case are shown in Tables 4-6 for each base thickness (h). The reinforcement depth (Dr) was investigated. Moreover, the reinforcement benefit ratio (RBR) was obtained as the reduction ratio in total deformation between the reinforced and unreinforced sections.</p><p>From <xref ref-type="table" rid="table4">Table 4</xref>, it could be noticed that all sections reinforced with GR105 gave a high negative RBR values. Based on this result, the geogrid (GR420) was chosen as reinforcement for the other base course thickness. Moreover, using geotextile alone hadn’t any obvious effect on reduction of deformation. The fixed bottom reinforced section (BRS) provided higher modulus of elasticity; higher benefit ratio and lower plastic deformation than the middle reinforced section (MRS). For 25 cm base course the optimal reinforcement depth ratio within the base course which provided lower plastic deformation was obtained at (Dr/h = 0.4 to 0.6). The double reinforced section DRS (bottom fixed layer and middle unfixed layer) achieved the lowest plastic deformation and the highest benefit ratio.</p></sec><sec id="s3_2"><title>3.2. Plastic and Elastic Deformation</title><p>From the plate loading test results after the third loading cycle, elastic and plastic deformation could be calculated. <xref ref-type="fig" rid="fig6">Figure 6</xref> correlates between deformation and distance along model center line for unreinforced 10 cm base course.</p><p>For all studied base thickness of unreinforced sections, the plastic deformation was found to be greater than the elastic deformation under the plate center. However, with increasing the distance from the plate center, the elastic deformation became greater than plastic deformation. For reinforced sections, it could be concluded that for base thickness less than 25 cm, the plastic deformation became greater than elastic deformation at all points. For base thickness of 25 cm, the plastic deformation became greater than the elastic deformation at all points at lower geogrid depth (Dr\h less than or equal to 0.2) however, at higher geogrid depth (Dr\h more than 0.2), the plastic deformation became greater than the elastic deformation under the plate center only.</p></sec><sec id="s3_3"><title>3.3. Effect of Loading Time on Accumulated Deformation</title><p>The effect of loading time up to 48 hours on the accumulated deformation under a static load was performed for the URS and reinforced section (fixed BRS for 10 cm base course and DRS for 15 and 25 cm base course). A</p><table-wrap id="table4" ><label><xref ref-type="table" rid="table4">Table 4</xref></label><caption><title> Effect of reinforcement for 10 cm Base</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Benefit Ratio (%) (RBR)</th><th align="center" valign="middle" >E (N/mm<sup>2</sup>)</th><th align="center" valign="middle" >Total Deformation (mm)</th><th align="center" valign="middle" >Reinforcement Case</th><th align="center" valign="middle" >Geogrid Type</th></tr></thead><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" >42</td><td align="center" valign="middle" >0.92</td><td align="center" valign="middle" >Unreinforced section</td><td align="center" valign="middle" >None</td></tr><tr><td align="center" valign="middle" >1.08</td><td align="center" valign="middle" >42.46</td><td align="center" valign="middle" >0.91</td><td align="center" valign="middle" >1-Bottom unfixed geotextile</td><td align="center" valign="middle" >Geotextile</td></tr><tr><td align="center" valign="middle" >−110.8 −121.7 −65.2</td><td align="center" valign="middle" >19.9 18.94 25.42</td><td align="center" valign="middle" >1.94 2.04 1.52</td><td align="center" valign="middle" >1-Composite reinforcement 2-Bottom unfixed geogrid 3-Middle unfixed geogrid</td><td align="center" valign="middle" >GR105</td></tr><tr><td align="center" valign="middle" >4.34 7.6 −4.3</td><td align="center" valign="middle" >43.9 45.46 40.25</td><td align="center" valign="middle" >0.88 0.85 0.96</td><td align="center" valign="middle" >1-Bottom unfixed geogrid 2-Bottom fixed geogrid 3-Middle unfixed geogrid</td><td align="center" valign="middle" >GR420</td></tr></tbody></table></table-wrap><table-wrap id="table5" ><label><xref ref-type="table" rid="table5">Table 5</xref></label><caption><title> Effect of Reinforcement for 15 cm Base</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Benefit Ratio (%)</th><th align="center" valign="middle" >E (N/mm<sup>2</sup>)</th><th align="center" valign="middle" >Total Deformation (mm)</th><th align="center" valign="middle" >Reinforcement Case</th><th align="center" valign="middle" >Geogrid Type</th></tr></thead><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" >45.45</td><td align="center" valign="middle" >0.85</td><td align="center" valign="middle" >Unreinforced Section (URS)</td><td align="center" valign="middle" >None</td></tr><tr><td align="center" valign="middle" >−4.7</td><td align="center" valign="middle" >43.41</td><td align="center" valign="middle" >0.89</td><td align="center" valign="middle" >1-Bottom Unfixed Geotextile</td><td align="center" valign="middle" >Geotextile</td></tr><tr><td align="center" valign="middle" >3.53 12.94 4.47 6.82 7.65 21.18</td><td align="center" valign="middle" >47.12 52.21 47.58 48.21 49.22 57.67</td><td align="center" valign="middle" >0.82 0.74 0.812 0.792 0.785 0.67</td><td align="center" valign="middle" >1-Bottom Unfixed Geogrid 2-Bottom Fixed Geogrid 3-Composite Reinforcement 4-Middle Unfixed Geogrid 5-Middle Fixed Geogrid 6-Two Layers Reinforcemend</td><td align="center" valign="middle" >GR420</td></tr></tbody></table></table-wrap><table-wrap id="table6" ><label><xref ref-type="table" rid="table6">Table 6</xref></label><caption><title> Effect of reinforcement for 25 cm base</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Benefit Ratio (%)</th><th align="center" valign="middle" >E (N/mm<sup>2</sup>)</th><th align="center" valign="middle" >Total Deformation (mm)</th><th align="center" valign="middle" >Reinforcement Case</th><th align="center" valign="middle" >Geogrid Type</th></tr></thead><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" >47.7</td><td align="center" valign="middle" >0.81</td><td align="center" valign="middle" >Unreinforced Section (URS)</td><td align="center" valign="middle" >None</td></tr><tr><td align="center" valign="middle" >−58 6.79 5.55 −4.94 2.47 14.8 16.3</td><td align="center" valign="middle" >30.19 51.18 50.5 45.46 48.9 56 57</td><td align="center" valign="middle" >1.28 0.755 0.765 0.85 0.79 0.69 0.678</td><td align="center" valign="middle" >1-Dr/h = 0.2 2-Dr/h = 0.4 3-Dr/h = 0.6 4-Dr/h = 0.8 5-Bottom Unfixed Geogrid (Dr/h = 1) 6-Bottom Fixed Geogrid (Dr/h = 1) 7-Two geogrid layers (Dr/h = 1 and 0.4)</td><td align="center" valign="middle" >GR420</td></tr></tbody></table></table-wrap><fig id="fig6"  position="float"><label><xref ref-type="fig" rid="fig6">Figure 6</xref></label><caption><title> Deformation along the center line for URS</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/69304x12.png"/></fig><p>great influence for reinforcement was observed where the accumulated deformation curves for reinforced sections were a semi constant or increased slightly with increasing the loading time especially at the end of the test period. Summary of the deformation progress under the plate center and at distances of 10 and 20 cm for 10 cm base course are represented in <xref ref-type="fig" rid="fig7">Figure 7</xref>.</p></sec><sec id="s3_4"><title>3.4. Effect of Base Thickness on Elastic Modulus</title><p>Three base course thickness 10, 15 and 25 cm and additional unreinforced thickness of 40 cm were used. As shown in the previous results and in <xref ref-type="fig" rid="fig8">Figure 8</xref>, it could be indicated that the plastic deformation decreased and the modulus of elasticity of base course increased as the base course thickness increased. On the other hand, the fixed bottom reinforcement section performed better than it for unfixed RS at all studied base thickness.</p><fig id="fig7"  position="float"><label><xref ref-type="fig" rid="fig7">Figure 7</xref></label><caption><title> Effect of loading time 10 cm base section</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/69304x13.png"/></fig><fig id="fig8"  position="float"><label><xref ref-type="fig" rid="fig8">Figure 8</xref></label><caption><title> Effect of base thickness on the modulus of elasticity</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/69304x14.png"/></fig></sec><sec id="s3_5"><title>3.5. Effect of Moisture Content for 25 cm Base Sections</title><p>From <xref ref-type="table" rid="table7">Table 7</xref> and <xref ref-type="fig" rid="fig9">Figure 9</xref> it could be observed that with increasing moisture content, the reinforcement benefit ratios (RBR) decreased. The highest modulus of elasticity (E) obtained at OMC where the improvement decreased with increasing moisture contents. As shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>0, the ratio of plastic deformation to the total accumulated deformation (PDR) for reinforced section was lower than it for unreinforced section for all moisture contents especially above OMC.</p></sec><sec id="s3_6"><title>3.6. Effect of Moisture Content on Plastic &amp; Elastic Deformation</title><p><xref ref-type="fig" rid="fig1">Figure 1</xref>1 illustrates the effect of reinforcement on elastic and plastic deformation for OMC. For all moisture contents, the plastic deformation was found to be greater than elastic deformation under the plate center. However, with increasing the distance from the plate center, the elastic deformation became greater than plastic deformation at 6% and 8% moisture content. While at 9.5% and 11%, the plastic deformation became higher than elastic deformation at all points.</p><table-wrap id="table7" ><label><xref ref-type="table" rid="table7">Table 7</xref></label><caption><title> Effect of moisture content on reinforcement benefit ratio</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Moisture content (%)</th><th align="center" valign="middle"  colspan="2"  >6</th><th align="center" valign="middle"  colspan="2"  >8 (OMC)</th><th align="center" valign="middle"  colspan="2"  >9.5</th><th align="center" valign="middle"  colspan="2"  >11</th></tr></thead><tr><td align="center" valign="middle" >Section condition</td><td align="center" valign="middle" >URS</td><td align="center" valign="middle" >RS</td><td align="center" valign="middle" >URS</td><td align="center" valign="middle" >RS</td><td align="center" valign="middle" >URS</td><td align="center" valign="middle" >RS</td><td align="center" valign="middle" >URS</td><td align="center" valign="middle" >RS</td></tr><tr><td align="center" valign="middle" >RBR (%)</td><td align="center" valign="middle" >---</td><td align="center" valign="middle" >23.5</td><td align="center" valign="middle" >---</td><td align="center" valign="middle" >16.3</td><td align="center" valign="middle" >---</td><td align="center" valign="middle" >12.5</td><td align="center" valign="middle" >---</td><td align="center" valign="middle" >6.75</td></tr></tbody></table></table-wrap><fig id="fig9"  position="float"><label><xref ref-type="fig" rid="fig9">Figure 9</xref></label><caption><title> Effect of moisture content on modulus of elasticity</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/69304x15.png"/></fig><fig id="fig10"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>0</label><caption><title> Effect of moisture content on plastic deformation ratio</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/69304x16.png"/></fig><fig id="fig11"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>1</label><caption><title> Plastic and elastic deformation at OMC of 8%</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/69304x17.png"/></fig></sec><sec id="s3_7"><title>3.7. Effect of Reinforcement on Base Thickness Saving</title><p>Using geogrid GR420 as reinforcement had the greatest effect on the reduction of base thickness (BCR) and the plastic deformation reduction ratio (DRR) where the base course thickness of 15 cm could be reduced to 10 cm (BCR = 33%, DRR = 14%) if reinforced with fixed bottom geogrid. Moreover, the unreinforced section of 25 cm base thickness could be reduced to 15 cm (BCR = 40%) if it is reinforced with fixed BRS or DRS to achieve DRR = 8.3% or 21.7% respectively. Furthermore, the unreinforced section of 40 cm base thickness could be reduced to15cm (BCR = 62.5%, DRR of 14.5%) if it is reinforced with DRS, and could be reduced to 25 cm (BCR = 37.5%) if reinforced with fixed BRS or DRS to achieve DRR of 5.7% or 12.7% respectively.</p></sec></sec><sec id="s4"><title>4. Conclusions</title><p>1) The geogrid GR420 was the optimal type to be used as reinforcement for base course where a great reduction of plastic deformation was obtained. Moreover, Fixation of the geogrid edges had a great effect on reduction of accumulative plastic deformation of base course.</p><p>2) The bottom reinforced section (BRS) was better than middle reinforced section (MRS). For 25 cm base course the optimal reinforcement depth ratio was obtained at (Dr/h = 0.4 to 0.6). By using geogrid GR420 the unreinforced section of 40 cm could be reduced to15cm (BCR = 62.5%, DRR of 14.5%) if it was reinforced with DRS.</p><p>3) For reinforced base course less than 25 cm thickness, the plastic deformation became greater than elastic deformation at all points. The same occurred for 25 cm thickness at lower geogrid depth (Dr\h less than or equal to 0.2). On another side, the accumulated deformation curves for reinforced sections were a semi constant with increasing the loading time up to 48 hours especially at the end of the test period.</p><p>4) With increasing moisture content, the reinforcement benefit ratio RBR decreased. The ratio of plastic deformation (PDR) for reinforced section was lower than it for unreinforced section for all moisture contents especially above OMC. Moreover, for all moisture contents, the plastic deformation was greater than elastic deformation under the plate center only. The same occurred at other points for 9.5% and 11% moisture content. While, the opposite occurred at 6% and 8% moisture content.</p></sec><sec id="s5"><title>Cite this paper</title><p>Ahmed Ebrahim Abu El-Maaty, (2016) Improving Rutting Resistance of Flexible Pavement Using Geosynthetics. 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