Theory of Plates

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1、TheoryofPlatesPart1:PlaneStress/PlaneStrainLectureNotesWinterSemesterProf.Dr.-Ing.Kai-UweBletzingerLehrstuhlfürStatikTechnischeUniversitätMünchenkub@bv.tum.dehttp://www.statik.bauwesen.tu-muenchen.de/1ManypartsandfiguresofthepresentmanuscriptaretakenfromtheG

2、ermanlecturenoteson“Platten”byProf.E.Ramm[9],UniversityofStuttgart.LehrstuhlfürStatikTechnischeUniversitätMünchen80290MünchenOctober200020REFERENCES..............................................................................................................

3、...................51PLANESTRESS-PLANESTRAIN:IN-PLANELOADEDPLATES.....................................71.1INTRODUCTION...........................................................................................................................91.2STATEVARIABLE

4、S......................................................................................................................91.3PLANESTRESS...........................................................................................................................1

5、01.3.1EQUILIBRIUMEQUATIONS....................................................................................................101.3.2KINEMATICEQUATIONS.......................................................................................................101.

6、3.3CONSTITUTIVEEQUATIONS..................................................................................................111.3.4COMPATIBILITYCONDITION................................................................................................111.3.5DIFF

7、ERENTIALEQUATION,AIRYSTRESSFUNCTION............................................................121.4PLANESTRAIN...........................................................................................................................131.5PRINCIPALFORCES,PRI

8、NCIPALFORCETRAJECTORIES........................................................151.5.1PRINCIPALFORCESANDDIRECTIONS................................................................................