Plates and Shells

Code:

EM517

Acronym:

PC

Instance: 2003/2004 - 2S

Active?	Yes
Responsible unit:	Applied Mechanics Section
Institution Responsible:	Faculty of Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
LEM	8	Plano de Estudos EM Oficial a partir de 2000	5	3,5	7	-
		Plano para Bachareis EM a partir 2000	2	3,5	7	-

Teaching language

Portuguese

Objectives

Apprenticeship and understanding of the Theories and methods of solutions for the cases described in the comtents. This formation is necessary in order to understand Engineering problems which uses plates and shells as structural components. Development of the students capacities to analyse, to criticize and to search further Knowledge, this is achieved performing some work during the course resorting to programming in order to obtain results using several methods of problems of plates, shells and laminates.
With the obtained Knowledge the students should be able:
- To understand and interpret published literature on the subject, including a capacity to use critically codes
- To Derive the fundamental equations for research purposes of problems involving plates and shells
- To obtain analytical solutions for plates and shells and laminates
-To obtain finite element solutions for plates and shell problems using commercial software and to have some notion of the limitations of the finite elements used.

Program

Brief revision of fundamental solid mechanics concepts. Calssical Theory of Plates. Methods of Solution including solutions resorting to series, levy method, Ritz and Galerkin Methods and numerical methods. Reissner-Mindlin Plate Theory and methods of solution including Finite Elements. Theory of von Kármán and methods of solution resorting to generalized Fourier series.
Strain, moments and forces in shells. Membrane Theory for shells of revolution. Bending Theory for cylindrical shells. Bending Theory for Shells of revolution.Examples. Force Method in order to calculate the forces and moments in the joints of two or more shells.

Main Bibliography

- A. C. Ugural, "stress in plates and shells", McGraw- Hill Book Company
- S.P. Timoshenko and S.W. Woinowsky-Krieger, " Theory of Plates and Shells", McGraw- Hill Book Company

Complementary Bibliography

- Y. C. Fung, "Foundations of Solid Mechanics", Prentice Hall.
- C. Dym and I. H. Shames, "Solid Mechanics: A Variational Approach", McGraw-Hill Book Comp.
- E. H. Mansfield, "The Bending and Stretching of Plates", Pergamon Press.
- R. Szilard, "Theory and Analysis of Plates: Classical and Numerical Methods", Prentice-Hall.
- J. Courbon, "Plaques Minces Elastiques", Eyrolles.
- J. Courbon, "Voiles Minces", Eyrolles.
- W. Flugge, "Stresses in Shells", Springer-Verlag, Berlin.
- H. Kraus, "Thin Elastic Shells", John Wiley & Sons, N.Y..
- A. Ambartsumyan, "Theory of Anisotropic Plates", Hemisphere Publishing Coorporation.
- J. N. Reddy, "Mechanics of Laminated Composite Plates. Theory and Analysis", CRC Press.
- L. E. Brownell and E. H. Young, "Process Equipment and Design", Mcgraw-Hill Book Comp.
-J.N. Reddy, " Theory and Analysis of Elastic Plates", Taylor & Francis,1999

Teaching methods and learning activities

The several topics are presented to the students and with the participation of the students in some cases. Typical problems are presented and discussed and the students are encouraged to use the computer to solve the problems. Some Maple programs are available for the students to perform some of the tasks assigned. The students have to do several working assignments during the semeter which are presented in a written report and in a brief oral presentation.

Software

Maple, Ansys, Abaqus and Matlab

Evaluation Type

Distributed evaluation without final exam

Eligibility for exams

The student must present the assignments

Calculation formula of final grade

50% for the assignments
50% for the final exam

Special assessment (TE, DA, ...)

As the other students

Classification improvement

The improvement can be achieved by improving the results and reports of the assignments and by performing a 2th exam.