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时间:2018-10-04
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1、CHAPTER9StabilityofSlopes9.1IntroductionGravitationalandseepageforcestendtocauseinstabilityinnaturalslopes,inslopesformedbyexcavationandintheslopesofembankmentsandearthdams.ThemostimportanttypesofslopefailureareillustratedinFig.9.1.Inrotationalslipsthe
2、shapeofthefailuresurfaceinsectionmaybeacirculararcoranon-circularcurve.Ingeneral,circularslipsareassociatedwithhomogeneoussoilconditionsandnon-circularslipswithnon-homogeneousconditions.Translationalandcompoundslipsoccurwheretheformofthefailuresurfacei
3、sinfluencedbythepresenceofanadjacentstratumofsignificantlydifferentstrength.Translationalslipstendtooccurwheretheadjacentstratumisatarelativelyshallowdepthbelowthesurfaceoftheslope:thefailuresurfacetendstobeplaneandroughlyparalleltotheslope.Compoundsli
4、psusuallyoccurwheretheadjacentstratumisatgreaterdepth,thefailuresurfaceconsistingofcurvedandplanesections.Inpractice,limitingequilibriummethodsareusedintheanalysisofslopestability.Itisconsideredthatfailureisonthepointofoccurringalonganassumedoraknownfa
5、iluresurface.Theshearstrengthrequiredtomaintainaconditionoflimitingequilibriumiscomparedwiththeavailableshearstrengthofthesoil,givingtheaveragefactorofsafetyalongthefailuresurface.Theproblemisconsideredintwodimensions,conditionsofplanestrainbeingassume
6、d.Ithasbeenshownthatatwo-dimensionalanalysisgivesaconservativeresultforafailureonathree-dimensional(dish-shaped)surface.9.2AnalysisfortheCaseofφu=0Thisanalysis,intermsoftotalstress,coversthecaseofafullysaturatedclayunderundrainedconditions,i.e.Fortheco
7、nditionimmediatelyafterconstruction.Onlymomentequilibriumisconsideredintheanalysis.Insection,-11-thepotentialfailuresurfaceisassumedtobeacirculararc.Atrialfailuresurface(centreO,radiusrandlengthLa)isshowninFig.9.2.Potentialinstabilityisduetothetotalwei
8、ghtofthesoilmass(WperunitLength)abovethefailuresurface.ForequilibriumtheshearstrengthwhichmustbemobilizedalongthefailuresurfaceisexpressedaswhereFisthefactorofsafetywithrespecttoshearstrength.EquatingmomentsaboutO:Therefore(9.1)Themomen
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