Strength of Materials I
Code
10439
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Engenharia Civil
Credits
6.0
Teacher in charge
João Carlos Gomes Rocha de Almeida, Rodrigo de Moura Gonçalves
Weekly hours
5
Total hours
70
Teaching language
Português
Objectives
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. The topics treated herein are later resumed in the course of Strength of Materials II.
Prerequisites
Knowledege of Statics and Mechanics of Continuous Media
Subject matter
1 - Complements of Statics and Continuum Mechanics
Review: statical indeterminacy of structrures.
Internal forces and moments in three-dimensional space.
Internal forces/moments diagrams.
Relationships between internal forces/moments and applied loads.
Cables subjected to concentrated and distributed loading. Parabolic and catenary equilibrium.
Stress - strain relationships. Linear elastic behaviour. Plastic behaviour.
Stresses and strains in axi-symmetric thin shells.
2 - Axial Loading
Elastic stresses, strains and displacements.
Stress concentrations.
The Saint-Venant Principle.
Elastic strain energy.
The Virtual Work Principle. The unit dummy load method.
Statically indeterminate structures: the force method.
Thermal effects.
Impact loads.
Incremental elastoplastic analysis.
Limit analysis.
Plastic deformations and residual stresses.
3 - Elastic Bending
Pure bending: assumptions and fundamental relations.
Bending stresses and strains.
Design of cross-sections.
Strain energy.
Asymmetric bending.
Bending with axial force.
The central core.
The "elastica".
The unit dummy load method. Calculation of displacements.
Statically indeterminate structures: the force method.
Thermal effects.
Heterogeneous sections.
Bending of no-tension materials
Bending of curved beams.
Bibliography
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 and practical classes. Laboratory sessions.