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Strength of Materials I

Code:

CVN017

Sigla:

RMI

Áreas Científicas
Classificação	Área Científica
OFICIAL	Mecânica e Estruturas

Ocorrência: 2018/2019 - 1S

Ativa?	Yes
Unidade Responsável:	Mecânica e Estruturas
Curso/CE Responsável:	Undergraduate in Civil Engineering (evening course)

Ciclos de Estudo/Cursos

Sigla	Nº de Estudantes	Plano de Estudos	Anos Curriculares	Créditos UCN	Créditos ECTS	Horas de Contacto	Horas Totais
CIVN	19	Study Plan	2	-	6	67,5	162

Língua de trabalho

Portuguese - Suitable for English-speaking students

Objetivos

It is intended that the students acquire basic skills and knowledge in the field of Mechanics of Materials:(i) know the definition and physical meaning of the internal stress matrix components and the strain matrix components, as well as Hooke's law;(ii) know the physical meaning of Young modulus and Poission coefficient;(iii) evaluate strain and tension matrixes from results obtained with strain rosettes;(iv) evaluate stresses, strains and displacements in three-dimensional frame structures built by prismatic frames(homogeneous and heterogeneous) under axial forces and torsion. In particular, it is intended that students develop the ability to adapt to new situations and properly analyse the results.

Resultados de aprendizagem e competências

(i) know the definition and physical meaning of the internal stress matrix components and the strain matrix components, as well as Hooke's law;(ii) know the physical meaning of Young modulus and Poission coefficient;(iii) evaluate strain and tension matrixes from results obtained with strain rosettes;(iv) evaluate stresses, strains and displacements in three-dimensional frame structures built by prismatic  frames (homogeneous and heterogeneous) under axial forces and torsion. Ability to adapt to new situations and properly analyse the results.

Modo de trabalho

Presencial

Programa

1 MECHANICS OF CONTINUOUS MEDIA
Vector and tensor of stress. Symmetry. Cauchy's formula. Eigenvalues and eigendirections. Coordinate transformations. Mohr’s circle. Small displacements hypothesis. Shear and normal strains. Strain tensor. Strain for a given direction. Principal strains. Mohr’s circle for plane strain. Hooke’s law.
2 ENERGY METHODS
Stored energy in elastic members. Theorems of Castigliano, Menabrea and Betti. Virtual work principles.
3 TENSION AND COMPRESSION OF LINEAR ELEMENTS
Saint-Venant problem. Tensile test. Variable axial force. Variable cross section. Materials in series and in parallel.
Temperature variations. Initial stresses. Prestress. Hyperstatic problems. Virtual work principles. Method of unit virtual load. Yelding, plastification and collapse.
4 TORSION OF LINEAR ELEMENTS
Bars with circular cross section, with ring sections. Tubular bars with thin walls. Rectangular section. Thin-walled sections. Method of unit virtual load.

Bibliografia Obrigatória

Rui Neves; Resistência de Materiais I, ESTBarreiro/IPS, 2013
Álvaro Azevedo; Mecânica dos Sólidos, FEUP, 1996
Artur Portela; Arlindo Silva; Mecânica dos Materiais, Plátano, 1996
Vitor Dias da Silva; Mecânica e Resistência dos Materiais, ZUARI, 1999
Ferdinand Beer; Russell Johnston; John DeWolf; Resistência dos Materiais, McGraw-Hill, 2006
Dinar Camotim; Apontamentos de Tracção e Compressão, IST/UTL, 2009
Carlos Moura Branco; Mecânica dos Materiais, Fundação Calouste Gulbenkian, 1998

Métodos de ensino e atividades de aprendizagem

Theoretical lessons (T) are used to expose the new concepts and some straight forward examples are shown, stimulating critical thinking of the students. Practical lessons (P) are used to apply the concepts to increasing complex exercises, some of them solved by the students in a semi-autonomous way.

Tipo de avaliação

Distributed evaluation with final exam

Componentes de Avaliação

Designation	Peso (%)
Exame	100,00
Total:	100,00

Fórmula de cálculo da classificação final

Assessment during the semester: 0.5xTest 1+0.5xTest 2 
1st/ 2nd call: 100% Exam
Extraordinary call: 100% Exam
Intercalar call: 100% Exam

Observações

Mecânica A or Análise de Estruturas Isostáticas