Analysis of Structures II
Code
9379
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Engenharia Civil
Credits
6.0
Teacher in charge
Corneliu Cismasiu, Ildi Cismasiu
Weekly hours
5
Total hours
70
Teaching language
Português
Objectives
The course complements Structural Analysis I in domains that serve the background of civil engineers (influence lines, e.g.) or provides knowledge to other disciplines (theory of plates, e.g.) and introduces basic concepts of dynamics of structures.
By the end of the semester the students should be able to:
Identify the parameters that control the structural dynamic response in order to acquire "engineering judgment" based on evaluation of basic characteristics of loading and of the resisting system.
Acquire "engineering judgment" based on evaluation of basic characteristics of loading and of the resisting system is trained, both through analytical work and study of applications.
Aims to familiarize the students with computer modeling to a level higher than that developed at this stage of the course and illustrates the application of the appropriate methods for modeling plates.
Educates the student to interpret results obtained computationally and educates their "engineering judgment" when doing so.
Prerequisites
Students must have passed RM 1 and RM2 and command a thorough understanding of the material taught in Theory of Structures 1.
A good command of the material covered on Physical and Mathematical Modeling in Engineering or equivalent is highly helpful.
Subject matter
1. Theory of Plates (continues from AEi)
- Review of the basic concepts of the linear elastic theory of thin plates
- Modeling of plates with grillage of beams
- Solutions obtained by numerical methods, MDF
2. Influence lines for statically determinate and indeterminate structures
3. Introduction to Structural Dynamic
- Basic concepts of Structural Dynamics- Origin of loads, mass and structural damping
- Equation of motion of single and two-degree-of-freedom systems
- Time domain response of a SDOF system - free and forced vibrations
- Response spectra. Relevant Eurocodes
- Generalised single-degree-of-freedom systems; Rayleigh’s method;
- Vibration monitoring and analysis.
Bibliography
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A. Chopra, Dynamics of Structures: Theory and Applications to Earthquake Engineering, 3rd Edition, 2007
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Ghali, A. and AM Neville. Structural analysis; a unified classical and matrix approach, E&FN Spon,
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Structural Engineering Handbook, Ed. Gaylord, E. H., Gaylord, C. N., 1990
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Timoshenko, S., Woinowsky-Krieger, S., Theory of Plates and Shells, , McGraw-Hill, 1959
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O. Zinkiewicz The Finite Element Method for Solid and Structural Mechanics, Elsevier, Sixth Edition, 2005
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L Castro, V Leitão,Apontamentos sobre análise elástica linear de lajes, IST, 2001
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L Castro, Modelação de lajes com elementos de grelha, IST, 2002.
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Class notes - uploaded on the web
Teaching method
Standard teaching methods are used, integrating oral presentations, illustration by images of the structural solutions and their modelling and by encouraging the bibliography consultation and elements available on the Internet. The students attend formal theoretical lectures during which the fundamental concepts of the curricular unit related to each topic are introduced and discussed following by their illustration through simple examples.
Individual study outside of the class attendance is stimulated and reflective thoughts on the structural functioning exercised.
The practical classes complement the lectures, solving a larger set of problems involving a reduced complexity that can be manually solved. The further objective of the working classes to give a more practical insight about theoretical concepts and encourage the students'''''''''''''''''''''''''''''''' initiative and their active participation.
Computational work planned if number of teaching staff and students make it feasible in terms of tutoring.