考虑土拱效应挡土墙绕墙底转动的主动土压力-张永兴

第32卷第3期土木建筑与环境工程Vol.32No.32010年06月JournalofCivil,Architectural&EnvironmentalEngineeringJun.2010张永兴,陈林(重庆大学土木工程学院,重庆400045):20091223:(50878218);(50625824);(2008BAJ06B04);(2008SXG022):(1961),,,,,,(Email)[e-mail]:采用库仑土压力理论的假设,通过研究刚性挡墙绕墙底转动极限状态土体内主应力拱形状,计算了土层平均竖向应力和剪应力,得到了对应于不同内摩擦角和墙土摩擦角的侧土压力系数和水平摩擦系数的理论公式将其用于水平微分单元法求解挡墙绕墙底转动时的主动土压力,得到了挡土墙主动土压力强度土压力合力和合力作用点的理论公式,分析了填土内摩擦角和墙土摩擦角对土侧压力系数水平摩擦系数土压力强度土压力合力土压力合力作用点的影响,并与模型试验数据进行了比较:土压力;剪应力;土拱;绕墙底转动:TU457:A:16744764(2010)03004607ActiveEarthPressurewithWallRotationMovementaboutBaseConsideringSoilArchingZHANGYongxing,CHENLin(CollegeofCivilEngineering,ChongqingUniversity,Chongqing400045,China)Abstract:Basedoncoulomb!stheoryandthestudyontheshapeoftheprincipalstressarchinginlimitingstatesoilbehindtherigidretainingwallwiththerotationaboutbase,thehorizontallyearthpressurefactorandthehorizontalfrictioncoefficientswerecalculatedfordifferentfrictionangleofsoilandfrictionanglebetweenwallsurfaceandsoiltostudytheverticalstressandshearstress.Andthetheoreticalformulaswereobtainedfortheactiveearthpressures,theresultantearthpressuresandthepointsofapplicationofresultantearthpressures.Theeffectsoftheinternalfrictionalangleofbackfillandthefrictionalanglebetweenthewallbackandthebackfillonseveralparameterswereinvestigated,whichincludedthelateralcoefficientofearthpressure,thehorizontalfrictioncoefficients,theunitearthpressure,theresultantforceofearthpressure,theapplicationpointoftheresultantforceandtheoverturningstabilityofaretainingwall.Andtheformulaproposedwascomparedwithsomeexperimentalobservations.Anditisfoundthattheresultsareingoodagreement.Keywords:earthpressure;shearstress;soilarching;movementmodeofrotationaboutbase,,,[1],[2]Terzaghi,,,[34],,,,,,,[5]Paik[6]Thomas[7]Shubhra[8][9];,[10],,[11],,,,,,,,,;,,,[89],1,,,,,,,,,,,1[4]11.1,,,,1A[14]=tan-1(N-1)+(N-1)2-4Ntan2/(2tan)(1):N,,N=13=tan2(45∀+!2);!;1.2,,,,∀[15]∀=arctan(tan2!+tan!tan(!+)+tan!)(2)22.11,[6]r=2#1-cos∃(3):#;∃,1zBz=r0cos(4):r0A;47第3期张永兴,等:考虑土拱效应挡土墙绕墙底转动的主动土压力A2,,v,dVdV=vdA=1(sin2∃+cos2∃N)(rd∃sin∃)(5):r=2#1-cos∃;dA2zvv=VBz=#%2dVBz(6):V;Bz=r0cos;r0=2#1-cos(5)A=1+0.5cos-1N(1+0.5cos+ln(1-cos)cos)v=A1(1-cos)(7)KnKn=ahwv=cos2+(1N)sin2A(1-cos)(8)ahw,ahw=1cos2+3sin22.2,&v=1-3cos∃sin∃(9):∃D,12,,&vahwdQdQ=&vdA=1(1-1N)sin∃cos∃(rd∃sin∃)(10):r=2#1-cos∃;dAz&v&v=QBz=#%2dQBz(11):Q;Bz=r0cos;r0=2#1-cos(10)B=(1-cos)(1-sin+0.5(%/2-)-0.25sin2)/cos&v=B1(1-1/N)(12)Kh,Kh=&vv=B1-1NA(1-cos)(13),AB(7)(12)2.32,zdz,v,v+dv;ahw,ahw=vKn;&w,&w=ahwtan=vKntan;&v,&v=vKh;dWdvBz+&wdz+vdBz+(&f+ncot∀)dz=∋Bzdz(14):&f,&f=ntan!;n;Kn;∋;∀;Bz,Bz=H-ztan∀d&vBz+&vdBz+ahwdz+(&fcot∀-n)dz=0(15)(14)(15)ndvdz-KvH-z=C(16):C=∋1+Khcot(∀-!);K=1-Kntan+cot(∀-!)cot∀+Khcot(∀-!)cot∀(16)48土木建筑与环境工程第32卷,z=0v=0,v=CH1+KH-zH-K-H-zH(17):Hahw=Knvahw=Knv=KnCH1+KH-zH-K-H-zH(18)2.4P=#H0ahwdzcos=12sin(∀-!)cos(∀-!-)cos∀sin∀∋H2(19)P,,(2)∀PP=12Ka∋H2=cos2!cos[1+sin(+!)sin!cos]212∋H2(20):Kah=#H0(H-y)ahwdy#H0ahwdz=[13+K3(K+2)]H(21)3!3.1Kn,Kn=1-sin!,,,;(8)Kn;3Kn!,3b,Kn!;,[11][16],!(8)Kn,,,3Kn!3.2KhKh,Kh=tan!,,,,,;(13)Kh,Kh,4Kh!4,!,Kh,;!4Kh!49第3期张永兴,等:考虑土拱效应挡土墙绕墙底转动的主动土压力3.3,(18),!56H=4.0m,∋=18kN/m2ahw!5,=20∀,;ahw,!,ahw,ahw,ahw5!6!6,!=30∀,;ahw,,ahw,ahw,ahw56,[17],!3.4(20),Ka,7!,!7Ka!3.5,h=H3,(21)8,,8c,(0.346~0.357),1/3,8b;8a,,0.275~0.30;;!,1/3,Fang[18],h=(0.276~0.30)H8h!3.6,TT=Ph(22)(19)(21)T∃∃∃,50土木建筑与环境工程第32卷1/39T!,T!;,!ab(22)T,,ac(22)T,,3.39T!4[19]:,∋=17kN/m3,!=35∀,=15∀,H=1.09m,,101010ab,,,;bc,,,c;0,c;,,c,5,,,,,!,,:1),,2)Kn!;,Kh,!,Kh,;!3),ahw,!,ahw,ahw,ahw!,,ahw,ahw,ahw4);!,1/3,51第3期张永兴,等:考虑土拱效应挡土墙绕墙底转动的主动土压力T!;;,,:[1],,.[M].:,2003.[2]ZHANGMENGXI,ZHOUHUAI.Modeltestonsandretainingwallreinforcedwithdentistripinclusions[J].ScienceinChinaSeriesE:TechnologicalSciences,2008,51(12):22692279.[3]VILLEMUSB,MORELJC,BOUTINC.Experimentalassessmentofdrystoneretainingwallstabilityonarigidfoundation[J].EngineeringStructures,2007,29:21242132.[4]WANGJUNJIE,LIUFUCHEN,JICHUNLOU.InfluenceofdrainageconditiononCoulombtypeactiveearthpressure[J].SoilMechanicsandFoundationEngineering,2008,45(5):161167.[5].[D].:,2005.[6]PAIKKH,SALGADOR.Estimationofactiveearthpressureagainstrigidretainingwallsconsideringarchingeffect[J].Geotechnique,2003,53(7):643653.[7]THOMASCARONLINEJ,SHIAUJIMS.Modelingthearchingeffectinactiveearthpressureproblems[C]//10thAustraliaNewZealandConferenceonGeomechanics,2124Oct,2007,Brisbane,Australia.[8]SHUBHRAGOEL,PATRANR.Effectofarchingonactiveearthpressureforrigidretainingwallsconsideringtranslationmode[J].InternationalJournalofGeomechanics,2008,2:123133.[9],,.[J].,2007,29(5):717722.YINGHONGWEI,JIANGBO,XIEKANGHE.Distributionofactiveearthpressureagainstretainingwallsconsideringarchingeffects[J].ChineseJournalofGeotechnicalEngineering,2007,29(1):717722.[10],.[J].,2006,10(4):3944.FANLING,PENGSHUQUAN.Distributionofearthpressureofretainingwallwithwallmovementofrotationabouttopconsideringsoilarching[J].JournalofYangzhouPolytechnicCollege,2006,10(4):3944.[11],,.[J].,2005,26(7):10191022.WANGYUANZHAN,LIXINGUO,CHENNANNAN.Activeearthpressureonaretainingwallandlateralcoefficientofearthpressure[J].RockandSoilMechanics,