Structural Analysis II

Code:

EC0026

Acronym:

TEST2

Keywords
Classification	Keyword
OFICIAL	Structures

Instance: 2006/2007 - 2S

Active?	Yes
Web Page:	http://civil.fe.up.pt/pub/apoio/ano3/te/index.htm
Responsible unit:	Structural Division
Course/CS Responsible:	Master in Civil Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
LEC	11	Plano de estudos de transição para 2006/07	3	7	7	90	188
MIEC	310	Syllabus since 2006/2007	3	-	7	90	188
		Plano de estudos de transição para 2006/07	3	-	7	90	188

Teaching language

Portuguese

Objectives

Presentation and quarrel of the method of displacements, matrical formularization, for analysis of reticulated structures in linear regimen, plain and three-dimensional, and its point of view developments of its practical application, namelly if it relates to its use in the automatic calculation. Presentation of the general aspects of the method of the finite elements. Dynamic analysis of structures applied simple the structural systems. Introduction to the geometric non linear analysis and plastic analysis. The study of the structural methods analysis is followed by the concern to increase the degree of understanding of the structures behavior, of the point of view of the distribution of efforts and displacements.

Program

Ch1 - Matrix Analysis using Displacement Method
Matrix form of Displacement Method. Assembling stiffness matrices of bars and composition of global stiffness matrix of the structure. Using matrix analysis to structures with sloped bars. Transformation matrix of displacement and forces from local to global axis. Sistematization of displacement method matrix formulation. Introduction to structural computer analysis. General outline of a computer program for structural analysis. Analysis of 3D bar structures and presentation of the corresponding matrix formulation.
Ch2 - Introduction to Finite Element Method
General aspects of formulation and analogy with displacement method. Shape functions and element stiffness matrix. Main types of elements and its application: 2D and 3D elements; slabs; shells. Practical uses of FEM.
Ch3 - Hardy-Cross method
Introduction to the method. Notion of distribution and transmission coefficient. Particular cases of HC method. Application of HC method to structures with freedom of displacement of nodes. Indirect HC method. Analysis of a structure considering different number of unknowns. relationship between the different types of stiffnes matrices. Matrix condensation.
Ch4 - Introduction to Structural Dynamics
Basic concepts of Structural Dynamics. Formulation of the fundamental equation of dynamic equilibrium. Free movement without dampening. Notions of frequency and vibation period. Free movement with dampening. Notion of dampening coefficient. Response to a sine- wave action. Factor of dynamic amplification. Ressonance response. Response to a sine-wave action with dampening.
Detrmination of the response to any type of action using the decomposition with Fourier series. Characterization of seismic action. Structures subject to support movement. Determination of the effects of earthquakes. Response spectrum. Notion of behaviour coefficient. Introduction to dynamic of systems with several degrees of freedom.
Ch5 - Geometric nonlinear analysis of frames
Update of bar analysis using second order effects. Geometric stiffnes matrix of a bar and of a frame. Structural analysis including second order effects. Determination of critical loads and buckling modes (P-delta). Simplified methods of analysis of second order actions. Codes of practice.
Ch6 - Plastic analysis of structures
Update of the concepts of plastic moment and failure (collapse) mechanisms. Partial and system failure (collapse). Theorems of plastic analysis: plastic and cinematic. Determination of failure (collapse) forces of a given system. Automation of plastic analysis.

Main Bibliography

'Structural Analysis, a unified classical and matrix approach', A.Ghali, A. M. Neville and T.G. Brown, Spon Press, London, 2003
'Matrix structural analysis', W. McGuire, R. H. Gallagher, R. D. Ziemian, John Wiley & Sons, New York, 2000
'Statically Indeterminate Structures', Wang, Mc. Graw-Hill;
Apontamentos fotocopiados fornecidos pela AEFEUP dos artigos:
- Cópia de três boletins do Gabinete de Estruturas, elaborados pelo Prof Guedes Coelho, relativos ao método dos deslocamentos (Nº 32 - 61 páginas, Nº 34 - 18 páginas e Nº 36 - 223 páginas);
- 'Cópia da separata do artigo 'Cálculo Matricial das Estruturas Contínuas pelo Método dos Descolamentos, Prof. Correia de Araújo, in Revista de Engenharia;
- ¿Noção Generalizada de Rigidez (ou de Flexibilidade). Condensação de Matrizes¿. M. Azeredo, 1992;
- ¿O Método dos Deslocamentos Aplicado ao Caso das Estruturas com Barras de Rigidez Axial Infinita¿, M. Azeredo, 1994;
Acetatos de apoio às aulas teóricas (Prof. Raimundo Delgado e Prof. João Paulo Miranda Guedes) disponíveis no website da disciplina

Teaching methods and learning activities

Presentation and discussion of all the contents in theoretical classes along with simple illustrative problems.
In theoretical-practical classes is proposed and discussed a set of applications associated to theoretical issues.
Complementary individual exercises will be proposed and evaluated

Evaluation Type

Evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Subject Classes	Participação presencial	84,00
	Total:	-	0,00

Observations

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Working time estimated out of class: 9 hours