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ID:37578505
大小:1.38 MB
页数:146页
时间:2019-05-25
《Buckling loads of variable cross sections》由会员上传分享,免费在线阅读,更多相关内容在行业资料-天天文库。
1、THESISELASTICBUCKLINGLOADSOFSLENDERCOLUMNSWITHVARIABLECROSSSECTIONBYTHENEWMARKMETHODSubmittedbyCharlesE.RileyDepartmentofCivilEngineeringInpartialfulfillmentoftherequirementsfortheDegreeofMasterofScienceColoradoStateUniversityFortCollins,ColoradoSummer2003C
2、OLORADOSTATEUNIVERSITYMay20,2003WEHEREBYRECOMMENDTHATTHETHESISPREPAREDUNDEROURSUPERVISIONBYCHARLESRILEYENTITLEDELASTICBUCKLINGLOADSOFSLENDERCOLUMNSBYTHENEWMARKMETHODBEACCEPTEDASFULLFILINGINPARTREQUIREMENTSFORTHEDEGREEOFMASTEROFSCIENCE.CommitteeonGraduateWor
3、k(Pleaseprintnameundersignature)AdviserDepartmentHead/DirectoriiABSTRACTOFTHESISELASTICBUCKLINGLOADSOFSLENDERCOLUMNSWITHVARIABLECROSSSECTIONBYTHENEWMARKMETHODDeterminingthecriticalbucklingloadforcolumnswithvariablecrosssectionpresentsauniquedesignproblemfor
4、engineers.Exactsolutionsforcertaincolumngeometriesandendconditionsexist,butnoconcisedesignequationshavebeenpresentedthatcoverthebroadrangeofpotentialcolumnconfigurations.Thisthesisprovidesanexhaustiveliteraturereviewtoputtheresearchpresentedhereincontextand
5、pointthewaytowardsfurtherresearch.ThisthesisutilizestheExcelspreadsheetenvironmentwiththeNewmarkiterativeproceduretoperformbucklinganalysesondeterminate(pinned-pinnedandfixed-free)andone-degreeindeterminate(fixed-pinnedandfixed-guided)columns.Thecriticalbuc
6、klingloadsofcolumnswithvariationofthemomentofinertiabetweenpowersofoneandfour,correspondingtolineartaperingofcommoncrosssectionshapes,arecalculatedtoahighdegreeofaccuracyandpresentedintheformofdesigncurvesandclosed-formequationsbasedoncurvefitting.Theproces
7、sofdevelopingtheNewmarknumericalmethodwithintheExcelspreadsheetenvironmentispresentedindetailtoprovideapowerfultoolforengineerstousewhendesigninguniquecolumnsthathavenoavailablesolution.Aroundcolumnwithparabolicvariationofitsdiameterandcrucifixcolumnwithlin
8、earvariationfromitsiiiendstothemiddleareexaminedtodemonstratethecapabilitiesoftheNewmarkmethodinthisregard.CharlesE.RileyDepartmentofCivilEngineeringColoradoStateUniversityFortCollins,CO80523Summer2003
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