Strength of Materials


This course gives an overview of fundamental concepts of Structural Mechanics, namely the evaluation of internal forces, stresses, strains and displacements in linear elastic solids and structures.

General characterization





Responsible teacher

João Carlos Gomes Rocha de Almeida, Mário Jorge Vicente da Silva


Weekly - 5

Total - 91

Teaching language



Students must know basic notions of Applied Mechanics, namely: equilibrium, mass centre (centroid for geometric shapes), concentrated forces, distributed forces and internal force diagrams. Some background on Mathematical Analysis and Algebra is also useful, concerning function graphs, differential, integral and matrix calculus and methods for solving linear equation systems, homogeneous and non-homogeneous.


V. Dias da Silva, "Mecânica e Resistência dos Materiais", ZUARI - Edição de Livros Técnicos, Lda.

Beer, F., Jonhston, E., Resistência dos materiais, McGraw-Hill

Nash, W., Resistência de Materiais, McGraw-Hill, 4ª edição, 2001

Timoshenko, S., Resistência dos Materiais, Vol I, Livros técnicos e científicos Ed. S.A. 1969

Teaching method

Teaching involves lectures and labs. There are also office hours available to clarify some concepts and students’ doubts. Lectures intend teaching of fundamental theoretical concepts, illustrating their application on simple problems relevant for comprehensive understanding. Lectures are given in slide presentations, prepared by instructors. Students have printed version available during the respective lecture. Labs complement theoretical concepts. Active students’ participation is stimulated by the resolution of practical assignements.

Evaluation method


Subject matter

Solid Mechanics, with particular applications to soil and rock Mechanics:

1. Stress

2. Strain

3. Material behavior - constitutive relationships

4. Strength and failure criteria

5. Stress in soils due to surface loads

Strength of Materials - introduction to beams:

6. Normal force, normal stress and extension

7. Bending, normal stress and curvature

8. Shear force, tangential stress and member connections

9. Torsion, tangential stress and angle of twist

10. Beams subjected to transversal loads

11. Displacements of bended beams

12. Analysis of (Winkler) beams on elastic foundation


Programs where the course is taught: