Subject: Theory of Structures

Scientific Area:

Civil Engineering

80 Hours

Number of ECTS:

7,5 ECTS

Language:

Portuguese

# Overall objectives:

1 - Development of skills on the comprehension and use of basic structural analysis methods.
2 - Development of judgement skills regarding the modelling and computation processes, using the physical understanding of the structural response.

# Syllabus:

1 - Force method
1.1 - Revision on the static indeterminacy
1.2 - Equilibrium, elasticity and compatibility conditions
1.3 - Physical interpretation of the flexibility matrix and of the discontinuity vector
1.4 - Stress-resultant diagrams and displacements
1.5 - Rigid members
1.6 - Elastic releases
1.7 - Temperature effects, pre-stressing and settlement of supports
1.8 - Simplification of symmetric structures
2 - Displacements method
2.1 - The bar element
2.2 - Kinematic indeterminacy
2.3 - Physical interpretation of the stiffness matrix and of the nodal force vector
2.4 - Dependent displacements and stress-resultant diagrams
2.5 - Rigid members
2.6 - Elastic releases
2.7 - Temperature effects, pre-stressing and settlement of supports
3 - Introduction to the finite element method
3.1 - Fundamental relations and boundary-value problem formulation
3.2 - Types of finite elements
3.3 - Solution analysis
3.4 - Convergence of the solution with h and p refinement procedures
3.5 - Use of structural analysis software
4 - Introduction to influence lines
4.2 - Influence function. Influence lines and surfaces
4.3 - Influence line determination using the direct method
4.4 - Use of structural analysis software

# Literature/Sources:

Segadães Tavares , 1973 , Análise Matricial de Estruturas , LNEC Curso 129
Gere e Weaver , 1965 , Analysis of Framed Structures , Van Nostrand Reinhold
J.N. Reddy , 1993 , An Introduction to the Finite Element Method , McGraw-Hill
O.C. Zienkiewicz e R.L. Taylor , 1989 , The Finite Element Method - Basic Formulation and Linear Problems , McGraw-Hill
O.C. Zienkiewicz e R.L. Taylor , 1991 , The Finite Element Method - Solid and Fluid Mechanics, Dynamics and Non-Linearity , McGraw-Hill
W. Mc Guire, R.C. Gallagher, R.D. Ziemian , 2000 , Matrix Strucutral Analysis , John Wiley & Sons
Chu-kin Wang , 1962 , Statically Indeterminate Strucutres , McGraw-Hill, Auckland
A. Ghali; A. M. Neville; T. G. Brown , 2009 , Structural analysis : a unified classical and matrix approach , CRC Press
R. C. Hibbeler , 2002 , Strucutral Analysis , Prentice Hall
J.A. Teixeira de Freitas; C.T. Fernandes , 2018 , Análise Elástica de Estruturas Reticuladas , IST
A.F.M. Azevedo , 2003 , Método dos Elementos Finitos , FEUP
E. Pereira , 1994 , Apontamentos de Linhas de Influência , IST

# Assesssment methods and criteria:

Classification Type: Quantitativa (0-20)

Evaluation Methodology:
In the theoretical classes will be presented, deduced and demonstrated the fundamentals and the calculation methodologies that allow the analysis of structures. In the theoretical-practical classes, exercises will be applied to current structures. In the evaluation will be realized three tests (30% each) and two works (5% each) with the objective of assessing theoretical and theoretical-practical knowledge. In this way, the student can, during the semester, evaluate their performance and change strategies if necessary. Resource and special seasons: final exam that covers the various topics of the curricular unit. Students who obtain a classification higher than 17 values are subject to oral test to be able to obtain a final classification higher than 17 values.