Analysis of Structures I
Code
10442
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Engenharia Civil
Credits
6.0
Teacher in charge
Corneliu Cismasiu, Rui Pedro César Marreiros
Weekly hours
5
Total hours
28
Teaching language
Português
Objectives
The course aims to provide the knowledge of fundamental structural analysis methods and to to further develop the students'''''''''''''''''''''''''''''''' ability to reason, think and to apply them to solve statically indeterminate structures, establishing the basis for the finite element method
By the end of the semester, you should be able to:
Formulate the flexibility and stiffness matrices of truss, beam and frame elements.
Understand how the principles of virtual work relate to the force and direct stiffness method of structural analysis.
Use the energy principles, force method and direct displacement method to find displacements, member forces, and reactions in statically indeterminate systems.
Determine the member forces in a structural system caused by temperature effects or foundation settlement.
Model a structure with elastic supports, inclined supports, or member end releases (hinges).
Develop the ability to make engineering judgment about structural behaviors.
Prerequisites
Completion of Statics and Strength of Materials I is required.
Strength Materials 2 is very helpful to succeed in Strucutral Analysis 1.
Subject matter
1. Introduction to Structural Analysis.
2.Structural Symmetry
Symmetric structures subjected to general loading
3. Force Method
Pincipals of virtual work and complementary virtual work
Structural indeterminacy. Released structure
Description of the method. Flexibility matrix
Analysis for different loadings
Calculation of displacements in hyperstatic structures
4. Displacement Method
Fundamental solutions of bars and beams
Kinematic indeterminacy. Kinematic ally determinate structure
Description of the method. Direct formulation.
Alternative definition of the stiffness matrix
5. Comparison of Force and Displacement Methods
Duality between the force method and the displacement method
5. Theory of Plates
Thin plates (Kirchhoff''''''''''''''''s) and thick ( Reissner-Mindlin )
Fundamental relations, Lagrange equations and boundary conditions
Some analytical solutions (Navier, Lévy, cylindrical flexion, circular plates)
Modeling of plates with grillage of beams.
Bibliography
Bibliografia principal:
1. A. Ghali, A. M. Neville and T.G. Brown. Structural Analysis. A unified classical and matrix approach. E & FN Spon, 6th edition, 2009
2. J.A. Teixeira de Freitas e Carlos Tiago, Análise elástica de estruturas reticuladas, IST, Lisboa, 2010.
3. C. Cismasiu, I. Cismasiu Apontamentos das aulas teóricas (disponíveis na página da disciplina)
Bibliografia secundária:
1. Kenneth M. Leet and Chia-Ming Uang and Anne M. Gilbert. Fundamentals of Structural Analysis. McGraw Hill, 3rd ed. 2008
2. R. C. Hibbeler. Structural Analysis. Prentice Hall, 5th edition, 2001
3. W. McGuire, R. H. Gallagher, and R. D. Ziemian.Matrix structural analysis. John Wiley & Sons, Inc., 2nd edition, 2000
4. T. R. G. Smith. Linear Analysis of Frameworks. Ellis Horwood Series in Engineering Science. Prentice Hall Europe, 1983.
Teaching method
The teaching methods are based on theoretical plenary lectures and practical working classes.
The theoretical lectures serve to introduce the fundamental concepts of the curricular unit related to each topic followed by simple practical examples. Individual work, outside of the presencial classes, will be stimulated, by the resolution of a set problems by the use of the computer technology.
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.
Individual work, outside of the class attendance, will be stimulated.