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Analysis of Isostatic Structures

Code:

CVN007

Sigla:

AEI

Áreas Científicas
Classificação	Área Científica
OFICIAL	Mecânica e Estruturas

Ocorrência: 2020/2021 - 2S

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	32	Study Plan	1	-	6	75	162

Língua de trabalho

Portuguese

Objetivos

By the end of this course the student will acquire the competences to be able to solve problems involving the equilibrium of determinate structures in two and three dimensions; analyse the statical determinacy; determine support reactions and to represent internal forces diagrams. The student have to be able to apply the Principle of Virtual Work in determinate structures and to represent influence lines.

Resultados de aprendizagem e competências

Students must acquire basic basic skills related to isostatic structural analysis (statical determinancy, equilibrium, reactions, stresses) indispensable in a civil engineering training.

Modo de trabalho

Presencial

Pré-requisitos (conhecimentos prévios) e co-requisitos (conhecimentos simultâneos)

Knowledges of mechanics: forces, moments, equilibrium.

Programa

1 - STATICAL DETERMINACY (2,5 weeks)
The design of structures. Fundamental concepts in analysis of structures. Main models of structural analysis.
External determinacy. Improperly constrained structures. Internal determinacy.

2 - EQUILIBRIUM OF STRUCTURES IN TWO AND THREE DIMENSIONS (4 weeks)
Internal forces. Newton´s third law. Truss analysis. Free body diagram. Equations of equilibrium. Symmetric
structures subjected to symmetric and anti-symmetric actions.

3 - INTERNAL FORCES AND DIAGRAMS (4 weeks)
Linear elements. Internal forces in linear elements: axial force; shear force; bending moment. Internal forces
diagrams. Relations between load, shear and bending moment.

4. VIRTUAL WORK PRINCIPLE (2.5 weeks)
Definition of virtual work and virtual displacement. Principle of virtual work and its application to determinate
structures.

5. INFLUENCE LINES (2 weeks)
Travelling loads. Influence lines for support reactions and internal forces in determinate structures.

Bibliografia Obrigatória

Beer; Johnston; Mecânica Vetorial para Engenheiros: Estática, 2019
Pedro Neto; Folhas de Análise de Estruturas Isostáticas, 2007
João Vinagre; Folhas de Análise de Estruturas Isostáticas, 2021

Métodos de ensino e atividades de aprendizagem

Topics are presented, with emphasis on the most relevant aspects, followed by the resolution, by students, of practical cases.

Tipo de avaliação

Distributed evaluation with final exam

Componentes de Avaliação

Designation	Peso (%)
Teste	75,00
Trabalho escrito	20,00
Participação presencial	5,00
Total:	100,00

Componentes de Ocupação

Designation	Tempo (Horas)
Estudo autónomo	52,00
Frequência das aulas	60,00
Trabalho escrito	50,00
Total:	162,00

Obtenção de frequência

Accomplishment of the following components (evaluated on a scale of 0 to 20) throughout the semester:

- Individual exercises (T), with a minimum average score of 8.0 (75%);

- Exercises and Tests to be performed in Moodle environment (M) (20%);

- Active class participation (PA) (5%).

The individual tests will be carried out in the academic period, on a date communicated in the previous week, being:

- Five, if the assessment is completely online (all of which are counted for the calculation of the average, TP);

- Six, if the assessment is fully in person (average of the 5 best ones, TP).

If the assessment goes from online to face-to-face, during the semester, the rule stablished to the complete online assessment will remain.

In online exercises with a rating greater than or equal to 8.0 or in online exams with a rating greater than or equal to 10, oral tests will be carried out.

Fórmula de cálculo da classificação final

Continuous assessment

Regular exercises (75%) + Moodle exercices (20%) + Active Class participation (5%)

 

Exam

Exam (100%)

Observações

In the current semester, classes will be taught online, changing to face-to-face format as soon as the pandemic allows.