资源描述：
《土力学中软土沉陷的简化计算.pdf》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、GöranSällfors2009Version1.0SettlementCalculationsTheprincipleforcalculatingdeformationofasoil,usuallyreferredtoassettlement,isbasicallythesameasthatutilizedinstrengthofmaterialsforcalculatingthedeformationofanaxiallyloadedsteelrod.δ=PL/EAbutP/A=∆σ→δ=∆σL/Eand∆σ/E=ε→δ=εLItwasalsoshownintheco
2、urseStrengthofMaterials,thattheequationforcalculatingthedeformationisactuallyadoubleintegralBecause∆σandEdonotvarywithstressnordepth,theycanbeassumedtobeconstants,andtheintegralcanbesimplifiedasThecompressionofaninfinitesimalelementdzisε·dz=∆σ·dz/EAndthetotaldeformationfromaccumulatingallt
3、heincrementaldeformationsis∫εdz=ε·Lwhichistheshadedareaintheabovefigure.GöranSällfors2009Version1.0Forsoils,however,theappliedstressusuallydecreaseswithdepthduetothedistributionoftheloadthroughoutthesoil.Additionally,themodulusisusuallyafunctionofstress,thusthedoubleintegralcannotbeeasilys
4、olved.Furthermore,acompressionmodulusdenotedM,anddeterminedforzerohorizontalstrain,isnormallyusedforsoils.Ifε(∆σ/M)varieswithz,whichisthecaseiftheappliedstressvaries(∆σ=f(z));orifMvaries(M=f(z)),thedeformationwillstillbetheshadedareawhichcanbecalculatedasFormostgeotechnicalcases,thisintegr
5、alwillbetoocomplicatedtosolveanalytically.Itissimplertosolvetheintegralnumericallybycalculatingtheareaasasumofanumberofrectangles.Inmanycases,sufficientaccuracywillbeobtainediftheareaisdividedintothreetofiverectangles.Hereitisimportanttodistinguishanddealwithtwodifferentcases.Thefirstcasei
6、sadepositthatcanberegardedashavingaconstantmoduluswithinthestressrangeathand,asforeithernormallyconsolidatedorheavilyoverconsolidatedclays.Thesecondcaseisabilinearmodulus,asforlightlyoverconsolidatedclay.Thesolutionoftheintegralimpliesthatthesoilprofileisdividedintoanumberofsoillayerswitht
7、hicknessesh1,h2,h3,etc.Thestrainiscalculatedforthecenterpointofeachlayer,ε1,ε2,ε3,etcutilizingcorrespondingvaluesfor∆σandMGöranSällfors2009Version1.0ConstantModulusinthewholestressrangeTheequationthenbecomesextremelysimple:Example1a,normallyconsolidatedsoilAno
