Strength of Materials I


1. Understand the fundamental concepts of Strength of Materials and of the theory of bars (axial force and bending moment), identifying the underlying simplifying assumptions.

2. Calculate and draw stress resultant diagrams of straight bars (3D) and cables (2D).

3. Analyse and calculate stress and strain states of straight bars under axial force and bending moment.

4. Analyse and calculate displacements/strains/stresses in statically determinate/indeterminate (1st degree) reticulated structures composed of elastic materials (or, for axial force, of elastoplastic materials).

5. Apply the acquired knowledge, integrated with the knowledge obtained in Statics, Continuum Mechanics and Rigid Body Dynamics, to solve simple practical problems of Civil Engineering, analysing/evaluating the results and formulating alternative solutions.

General characterization





Responsible teacher

João Carlos Gomes Rocha de Almeida


Weekly - 4

Total - 70

Teaching language



Knowledege of Statics and Mechanics of Continuous Media


Esforços em peças lineares, R. Gonçalves e J. R. Almeida, FCT/UNL, 2010.

Mecânica dos Materiais, A. Portela e A. Silva, Ed. Plátano.

Mecânica e Resistência dos Materiais,V. Dias da Silva, Ed. Zuari.

Mechanics of Materials,J.M. Gere, S.P. Timoshenko, PWS-Kent Publishing Co.

Mecânica dos Materiais, C. Moura Branco, Fundação Calouste Gulbenkian.

Resistência de Materiais , W. Nash, Ed. McGraw-Hill.

Mecânica dos Materiais, F.P. Beer, E.R. Johnston Jr., J.T. deWolf, Ed. McGraw-Hill.

Teaching method

Theoretical-practical classes. Laboratory sessions. Problemas online


Evaluation method

Two tests or final exam.

Laboratory sessions and online problems.

Subject matter

1. Statical determinacy of structures (review). Internal forces and moments in 3D space. Cables: concentrated and distributed forces, parabolic and catenary equilibrium.

2. Axial force. Uniaxial tensile test of a steel bar. Stress concentrations. Saint-Venant’s Principle. Composite members. Thermal effects. Strain energy. Virtual Work. Unit Dummy Load Method. Force Method (1st degree statically indeterminate structures). Impact loads. Displacement Method (1st degree kinematically indeterminate structures). Elastoplastic analysis and limit analysis of structures.

3. Bending moment. Uniaxial and biaxial bending, bending and axial force. Composite sections. Materials not resistant to tensile stresses. The cross-section core. The elastica. Thermal effects. Strain energy, Virtual Work, Unit Dummy Load Method and Force Method (1st degree statically indeterminate structures). Impact loads.


Programs where the course is taught: