Mechanics of Materials I

Base Knowledge

Applied mechanics

Teaching Methodologies

In the theoretical-practical classes, a theoretical backgroud presentation of each subject is made, which is complemented by the study of examples and solving practical application exercises,  to consolidate the acquired knowledge. It is sought that the students explore cases of current practical application.

Learning Results

Goals: develop decision-making capacity; communication skills and expression; ability to ensure quality. Generic skills: ability to grasp analysis and synthesis; ability to solve problems; ability to apply knowledge and adapt to new situations; ability to perform work independently and in groups; development of autonomy in learning; ability to predict and make judgments.

Program

Chapter 0 – Mass geometry: characterization of areas; determination of centers of mass; determination of static moments, moments of inertia and products of inertia, relative to axis. Determination of centroids and centers of mass. Moments of inertia of lines and areas. Inertia products. Steiner’s theorem: moments and products of inertia on parallel axis. Axis rotation. Main moments and directions of inertia.

Chapter 1 – Notion of stress and equivalence principle.

Chapter 2 – Linear elasticity: constitutive relationships; fundamental problems; Saint-Venant problem.

Chapter 3 – Tension and compression of linear elements; isostatic problems; thermal effects; hyperstatic problems; elements made of various materials.

Chapter 4 – Direct shear in joints/connections.

Chapter 5 – Linear elastic bending/flexural behaviour; straight and deviated bending; bending stress calculation; straight bending on elements made of various materials.

Curricular Unit Teachers

Internship(s)

NAO

Bibliography

Main:

Beer, F., & Johnston, E. (1989). Resistência dos materiais. Rio de Janeiro: McGraw-Will – 4-15-54 (ISEC) – 06490.

Branco, C. A. (1985). Mecânica dos materiais. Lisboa: Fundação Calouste Gulbenkian – 4-14-82 (ISEC) – 11190.

Popov, E. (1990). Engineering mechanics of solids. Englewood Cliffs: Prentice-Hall – 4-15-22 (ISEC) – 07632.

Silva, V. D. (1999). Mecânica e resistência dos materiais. Coimbra: Zuari – Edição de Livros Técnicos, – 4-15- 101 (ISEC) – 10591.

Additional:

Frey F. (1994) Analyse des strucutres et millieux continus – Statique appliqué. Traité de Génie Civil de l’École polytechnique fédérale de Lausanne, Vol. 1, Presses polytechniques et universitaires romandes.

Frey F. (1994) Analyse des strucutres et millieux continus – Mécanique des structures. Traité de Génie Civil de l’École polytechnique fédérale de Lausanne, Vol. 2, Presses polytechniques et universitaires romandes.

Massonet C e Cescotto S. (1994) Mécanique des matériaux. Biblioteque des Universités – Genie Civil, De BoeckWesmael.