The course aims to develop the students’ analytical abilities and to provide a thorough understanding of the fundamental concepts of vector mechanics of bodies at rest (Statics). Students should be able to develop confidence and competence in applying the theoretical concepts and practical methodologies of Statics to solve equilibrium problems in a mathematical form and to understand the significance of any assumptions made to the solutions.

By the end of the semester the students should be able to:

1. Make the equilibrium of particles and rigid bodies in 2D and 3D;

2. Draw the free body diagrams of a structure;

3. Identify the types of loads and supports of a structure and determine the reactions of isostatic structures;

4. Establish relations among load, shear, and bending moment;

5. Determine the diagrams of internal forces in isostatic structures and trusses;

6. Calculate center of gravity of plane sections

General characterization





Responsible teacher

Carlos Manuel Chastre Rodrigues, José Nuno Varandas da Silva Ferreira


Weekly - 4

Total - 68

Teaching language



Available soon


1. C. Chastre, I. Cismasiu, Apontamentos das Aulas teóricas (disponíveis na página no moodle);

2. Colectânea de Problemas das Aulas Práticas (disponíveis na página no moodle);

3. Colectânea de Problemas Online (disponíveis em:;

4. Colectânea de Exames Resolvidos (disponíveis na página no moodle);

5. Ferdinand P. BEER and E. R. JOHNSTON Mecânica Vetorial para Engenheiros, Estática,. 7ª Ed. Ed. Mc Graw-Hill de Portugal, Rio de Janeiro, 2006.

Bibliografia complementar:

6. João H. Negrão: Estática Aplicada para Engenharia Civil e Arquitectura, Departamento de Engenharia Civil Universidade de Coimbra, 2006

7. Artur PORTELA and Arlindo SILVA Mecânica dos Materiais. Editora Plátano, 1996.

8. J. L MERIAM Estática, Livros Técnicos e Científicos Editora S. A., Rio de Janeiro, S. Paulo, 1985.

Teaching method

A mix of lectures using the course''s own slides, with practical problem solving classes.

Evaluation method

To be defined before the start of classes

Subject matter

  •  Introduction
  • Object of Statics
    1. Actions in Civil Engineering.
    2. General Principles of Mechanics
  • Systems of forces and moments.
    1. Reduction of a System of forces to one force and one couple.
    2. Equivalent Systems of Forces. Concurrent force systems.
    3. Parallel forces and their resultants.
  • Statics of particles. Equilibrium of a Particle.
  • Equilibrium of rigid bodies.
    1. Types of restraining and reactions at supports.
    2. Free body diagram.
  • Analysis of structures.
    1. Reactions at supports and connections.
    2. Equilibrium of the frames.
      1. Isostatic, hiperstatic and hipostatic structures.
    3. Isostatic trusses.
      1. Method of knots and method of the sections.
  • Equilibrium of isostatic structures..
    1. Various types of loading and support.
    2. Internal forces.
    3. Relations among load, shear, and bending moment.
    4. Diagrams of internal forces in isostatic structures.
  • Distributed Loads
    1. Centroids and centers of gravity.Centroids of areas and lines. Distributed Loads on Beams.


Programs where the course is taught: