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一种可考虑形状效应的浅埋板锚极限抗拔力计算方
法
Introduction
Ingeotechnicalengineering,thestabilityofastructureiscrucialforensuringsafetyandfunctionality.Inmanycases,structuresareanchoredtothegroundusingplateanchorsinshallowdepths,whicharesubjectedtoupliftforcesduetowindsorsoilpressures.Thedesignofshallowplateanchorsrequiresconsiderationofvariousfactors,includingthedimensionsandshapeoftheanchor,thepropertiesofthesoil,andthemagnitudeoftheupliftforces.Inrecentyears,researchershaveemphasizedtheimportanceofconsideringtheshapeeffectoftheanchoronthelimitupliftcapacity.Thispaperaimstodiscussamethodforcalculatingthelimitupliftcapacityofshallowplateanchorsusingtheshapeeffect.
Background
Theperformanceofshallowplateanchorsisinfluencedbyvariousfactors,includingtheshapeoftheanchor,soilproperties,anchorsize,andloadingconditions.Mostpreviousstudiesontheupliftcapacityofshallowanchorshavefocusedontheeffectoftheanchorsizeandsoilproperties.However,recentstudieshavesuggestedthattheanchorshapecanalsoaffectthelimitupliftcapacity.Theshapeeffectarisesfromthefactthatdifferentshapesofanchorsproducedifferentfailuremechanismsandfailurezones,whichcansignificantlychangetheupliftcapacity.
Methods
Thelimitupliftcapacityofshallowplateanchorscanbecalculatedusingthefollowingformula:
Q=βuA
WhereQistheultimateupliftcapacityoftheanchor,βuistheupliftcapacitycoefficient,andAistheareaoftheanchor.Thecoefficientβuisusuallydeterminedthroughlaboratorytestingoranalyticalmethodsanddependsonthesoilproperties,anchorsize,andshape.Toaccountfortheshapeeffect,thecoefficientβucanbemodifiedtoincludeashapefactor,whichreflectsthecontributionofthe
anchor'sshapetotheupliftcapacity.Theshapefactorvarieswiththegeometryoftheanchorandcanbeobtainedthroughanalyticalornumericalmethods.
Oneapproachtoaccountingfortheshapeeffectistousethefiniteelementmethod(FEM)toanalyzethedeformationbehaviorandfailuremechanismoftheanchor.TheFEMcansimulatetheinteractionbetweentheanchorandthesoilandprovideinsightsintotheupliftcapacityoftheanchor.TheresultsfromtheFEManalysiscanbeusedtodeterminetheshapefactorandmodifytheupliftcapacitycoefficientβu.
Anotherapproachistouseempiricalequationstocalculatetheshapefactor.Severalresearchershaveproposedempiricalequationsthatrelatetheshapeoftheanchortotheupliftcapacity.Forexample,ChenandWang(2019)proposedanempiricalequationthataccountsfortheshapeeffectbasedontheanchor'saspectratioandeccentricity.Theequationisgivenas:
βu=β0+0.2(AR-1.5)+0.3e
Whereβ0isthecoefficientofacircularanchor,ARistheaspectratio,andeistheeccentricity.Theequationaccountsfortheshapefactorthroughtheterms(AR-1.5)ande,whichreflectthedeviationsoftheanchorfromacircularshape.
Discussion
Theshapeeffectonthelimitupliftcapacityofshallowplateanchorshasbeendemonstratedbyseveralresearchers.Theeffectarisesfromthedifferencesinfailuremechanismsandzonesfordifferentanchorshapes.Circularanchorstypicallyhaveauniformfailurezoneandcanachievehighupliftcapacities.However,non-circularanchors,suchasrectangularortriangularanchors,tendtohavenon-uniformfailurezonesandlowerupliftcapacities.Thesedifferencescanbeaccountedforusingtheshapefactor,whichdependsonthegeometryoftheanchor.
Thereareseverallimitationstothemethodsforcalculatingtheshapeeffectontheupliftcapacity.TheFEMapproachrequiresextensivecomputationalresourcesandexpertise,andmaynotbepracticalforroutinedesignapplications.Empiricalequationsmayhavelimitedapplicabilityandmaynotreflectthecomplexinteractionsbetweenthesoilandanchor.Therefore,furtherresearchisneededtodevelopmoreaccurateandpracticalmethodsforcalculatingtheshapeeffectonthelimitupliftcapacityofshallowplateanchors.
Conclusion
Theshapeeffectonthelimitupliftcapacityofshallowplateanchorsisanimportantconsiderationinthedesignoffoundationstructures.Theshapeeffectarisesfromthedifferencesinfailuremechanismsandzonesfordifferentanchorshapes.Theshapeeffectcanbeaccountedforusingtheshapefactor,whichdependsonthegeometryofthean
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