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MTM026 Plates and Shells 6.0 ECTS credits | |
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TIMEPERIOD: Q III LANGUAGE:Swedish EXAMINER Kjell Eriksson Univ lekt PREREQUISITES MTM062 Solid mechanics and Machine elements or MTM060 Continuum mechanics, MAM039 Mathematics COURSE AIM The aim of the course is to provide the basics about the theory of plates and shells and Saint Venant's theory of torsion and their application to some central problems in mechanical engineering. CONTENTS In-plane-loaded plates. Basic equations in cartesian coordinates. Airy's stress function. Inverse solutions for whole-plane and half-plane plates and with e.g. a circular or elliptic hole. Polar coordinates and circular plates. Michell's solution. Notches and stress concentrations. Transversally loaded plates. Basic equations in cartesian coordinates. The plate equation. Rectangular plates and their boundary conditions. Fourier's method solutions. Numerical solutions. Circular plates. Basic equations and boundary conditions. Standard solutions. Shells. Basic equations. The membran state of shells. Shells of circular symmetry and circular symmetric loading. The differential equation of bending of cylindrical shells, its solution and boundary conditions. Cylindrical pressure vessels with plane and spherical ends. Torsion. Saint Venant's theory of torsion. The membrane analogy. Prismatic bars with convex sections. Open and closed thin-walled sections. TEACHING The theoretical part is dealt with in the lectures and the practical application through examples and exercises. In a compulsory laborative exercise the bending of plates is studied experimentally. EXAMINATION At the end of the course there is a written examination. COURSE GRADE SCALE: U, 3, 4, 5 ITEMS/CREDITS | |
| Laboratory work | 0.30ECTS |
| Written exam | 5.70ECTS |
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COURSE LITERATURE Hult Jan: Bära brista, fortsättningskurs i hållfasthetslära, Almqvist & Wiksell, alternatively Timoshenko & Woinowsky-Krieger: Theory of Plates and Shells. Lundh Hans: Grundläggande hållfasthetslära, KTH, 1996. Exempelsamling i hållfasthetslära, KTH. Exempelsamling i hållfasthetslära, Skivor, plattor och skal, LTU. Handbok och Formelsamling i hållfasthetslära, KTH. REMARKS MTM030 Variational methods in solid mechanics Further information: International Office |
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