Theory of Structures I

Recommended Prerequisites

Linear algebra, Mathematical analysis, Structural statics, Continuum mechanics, Mechanics of Materials

Teaching Methods

1- Theoretical classes where the presentation of the fundamental concepts, assumptions and methods of analysis is followed by the solution and analysis of application problems. These problems can be of an introductory type or more complex exam like problems.

2- Practical classes where application problems with a examination complexity level are presented. These problems are solved and analyzed by the students working by themselves. The lecturer must clarify the students’ doubts and promote the critical analysis of the solution methods and results.

3- Tutorials at the lecturer office for students presenting more difficulties and for additional or more advanced questions.

Learning Outcomes

1. Requirements of new knowledge and capacity of understanding:

1.1. Comprehension of the basic assumptions adopted in the quasi-static linear analysis of structures.

1.2. Understanding the main types of quasi-static actions on a structure, their modeling and effects.

1.3. Understanding the fundamental variables of a structural problem.

1.4. Understanding the physical meaning of the analysis procedures.

1.5. Understanding the main characteristics of linear structural behavior.

1.6. Understanding of structural models as physical models of reduced spatial dimension.

1.7. Understanding the discrete nature of the models for skeletal structures.

2. Application of new knowledge:

2.1. Calculation of fields of internal forces and displacements in the linear analysis of skeletal structures and slabs.

3. Critic reflection / analysis:

3.1. Selection of the most appropriate analysis methods for a given practical application.

3.2. Qualitative evaluation of the computed solutions.

Work Placement(s)

No

Syllabus

1- Fundamental concepts of the characterization and analysis of structural problems

2- Linear analysis of statically determinate skeletal structures

-- Linear kinematics of statically determinate skeletal structures

3- Linear analysis of statically indeterminate skeletal structures by the force method

4- Linear analysis of skeletal structures by the displacement method

-- Kinematic constraints

-- Influence lines of skeletal structures (application of items 2, 3 e 4)

5- Linear analysis of thin slabs

Head Lecturer(s)

Paulo Manuel Mendes Pinheiro da Providência e Costa

Assessment Methods

Final
Exam: 100.0%

Bibliography

P. Providência, Apontamentos de Teoria das Estruturas I, 2008

J. Teixeira de Freitas, Análise Elástica de Estruturas, IST, 2005

V. Dias da Silva, Mechanics and Strength of Materials, Springer, 2005

I. H. Shames e C. L. Dym, Energy and finite element methods in structural mechanics,Taylor & Francis, 1985

A. Borkowski, Analysis of Skeletal Structural Systems in the Elastic and Elastic-Plastic Range, Elsevier, 1998

E. Arantes e Oliveira, Elementos da teoria da elasticidade, IST, 2007