Universidade Nova de Lisboa

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Faculdade de Ciências e Tecnologia

Statics

Code

9369

Academic unit

Faculdade de Ciências e Tecnologia

Department

Departamento de Engenharia Civil

Credits

6.0

Teacher in charge

Carlos Manuel Chastre Rodrigues

Weekly hours

5

Total hours

70

Teaching language

Português

Objectives

The course aims to develop the student''''''''s thought process and to provide a thorough understanding of the fundamental concepts of vector mechanics of bodies at rest. 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.

Prerequisites

Background in mathematics needed to succeed in Statics: trigonometry and analitical geometry; differentiation and integration of single variable polynomials; solving simultaneous linear and quadratic equations.

Subject matter

  1. Introduction

  2. Object of Statics
    1. Actions in Civil Engineering.
    2. General Principles of Mechanics

  3. 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.
  4. Statics of particles. Equilibrium of a Particle.

  5. Equilibrium of rigid bodies.
    1. Types of restraining and reactions at supports.
    2. Free body diagram.
  6. 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.

  7. 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.

  8. Distributed Loads
    1. Centroids and centers of gravity. Centroids of areas and lines. Distributed Loads on Beams. Forces on submerged surfaces
    2. Moments of inertia of areas. Polar Moment of Inertia. Moments of inertia of composite areas. Theorem of the parallel axes. Moments and principal directions of inertia.

Bibliography

  1. Apontamentos das Aulas teóricas (disponíveis na página)
  2. Ferdinand P. BEER and E. R. JOHNSTON Mecânica Vetorial para Engenheiros, Estática,. 7ª Ed. Ed. Mc Graw-Hill de Portugal, Rio de Janiero, 2006.
  3. Ferdinand P. BEER and E. R. JOHNSTON Mecânica Vectorial para Engenheiros, Estática,. 6ª Ed Mc Graw-Hill de Portugal, Lisboa, 1998.
  4. João H. Negrão: Estática Aplicada para Engenharia Civil e Arquitectura, Departamento de Engenharia Civil Universidade de Coimbra, 2006
  5. Artur PORTELA and Arlindo SILVA Mecânica dos Materiais. Editora Plátano, 1996.
  6. J. L MERIAM Estática, Livros Técnicos e Científicos Editora S. A., Rio de Janeiro, S. Paulo, 1985.

Teaching method

The teaching comprises lectures and practical classes using classical teaching methods supported by slides and computer based program.

The lectures intend to give the fundamental theoretical concepts, principles and methods, illustrating their application on simple problems needed for a better understanding.

The practical classes complement the lectures, solving a larger set of problems. Individual work, outside of the presencial classes, will be stimulated

 


 

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