Stability of seismically loaded slopes using limit analysis.docx
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Stability of seismically loaded slopes using limit analysis.docx
StabilityofSeismicallyloadedslopesusinglimitanalysiscoefficient,kc(theseismiccoefficientthatresultsinasafetyfactorFS1),canbecomputeddirectly,withouttheneedforaniterativeprocedure,bysolvingtheoverallequilibriumequationwithrespecttokc:kcXNiIcdxiseciWi?Uw,i?cdxitanicositan?sinitan?Wisini?RXNilWi(Rcosi?heq,i)(10)whereWiistheweightoftheslice;Uw,iistheforceduetotheporewaterpressure(ifpresent)actingonthebaseofslicei;iistheinclinationoftheslicebasewithrespecttothehorizontal;dxiisthewidthoftheslice;Ristheradiusoftheslipcircle;heq,iistheheightofthecentreofgravityofeachslicemeasuredfromthebaseoftheslice;cisthecohesionand?isthefrictionangleofthesoi1;andNisthetotalnumberofslices.UnlikeBishopssinplifiedmethod,theSpencer(1978)methodsatisfiesbothforceequilibriumandmomentequi1i-brium.Inordertomaketheproblemdeterminate,thismethodassumesthattheangleofinclination,1.Softheintersliceforceswithrespecttothehorizontalplaneisknown.Inthepresentstudy,theintersliceforcesaresettobeparalleltoeachothertosimplifythemathematicalformalationofSpencersmethodandreducethecomputationeffort.AdifferentdistributionoftheinclinationofIntersliceforcesmayhelptoobtainamorereasonablelineofthrustandavoidte11siIeintersliceforces,butSpencer(1967)showedthattheuseofthesame1.Sforeveryslicepsimplifiedmethod01270426Sarmasmethod01290430Thisstudy.Spencer(1978).4721.OUKIDIS,BANDINIANDS1.GDO
