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Laminar Structures

Code 15310
Year 2
Semester S1
ECTS Credits 6
Workload PL(30H)/T(30H)
Scientific area Mechanics and Structures
Entry requirements Continuous Solid Mechanics, Strength of the Materials, Structures.
Learning outcomes The curricular unit aims to develop knowledge and capacities in the domain of the analysis of laminar structures, namely, slabs, plates, membranes and shells, with identification and application of available tools, taking in to consideration the type of structural system. The capacity to define adequate boundary conditions and to establish coherent and efficient modelling techniques is an additional goal. Concerning the analysis of the structural behavior, are important goals the notions of paths of forces applied to laminate structures and, in terms of the structural project, the notions of design methods like the method of strut and tie models. In the domain of spatial structures it is a goal to give notions about the form-finding procedures and the understanding of the relations between forms and forces.
Syllabus 1. Theory of slabs and plates
2. Theory of shells and membranes
3. Numerical methods for the analysis of laminate structures
4. Introduction and application of the concept of paths of forces
5. Introduction and application of strut and tie method
6. Form-finding of spatial structures
Main Bibliography - Teacher’s notes (in Moodle)
- Timoshenko, S. (1970). Theory of elasticity. Auckland: McGraw-Hill.
- Timoshenko, S., & Woinowsky-Krieger, S. (2015). Theory of plates and shells. New Delhi: McGraw-Hill Education.
- Zienkiewicz, O. C., & Taylor, R. L. (2014). The finite element method. Oxford: Butterworth-Heinemann.
- Flügge, W. (1990). Stresses in Shells. Berlin: Springer-Verlag.
- Ventsel, E. (2001). Thin plates and shells: Theory, analysis, and applications. New York: Marcel Dekker.
- D. Kelly and M. Elsley, "A procedure for determining load paths in elastic continua," Engineering Computations, Vol. 12,pp. 415 – 424, 1995.
- Schlaich, J., Shafer, K., Jennewein, M., 1987. Toward a Consistent Design of Structural Concrete. PCI Journal 32(3):74.
Teaching Methodologies and Assessment Criteria The classes are organized into theoretical classes – T (presentation of subject matter and a concise presentation/explanation of examples) and practical classes – PL (guidance on individual assignments).
The evaluation is performed in two stages:

- Continuous evaluation (AC):
Continuous Assessment (AC) is based on the mandatory completion of individual practical assignments (PL), provided throughout the semester and to be submitted on the dates set by the instructor.

- Exam:
For students admitted to the exam: a final comprehensive written and practical test, without consultation. Grading scale: 20 points.
Language Portuguese. Tutorial support is available in English.
Last updated on: 2025-09-28

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