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Analysis of Isostatic Structures

Code:

CVN007

Sigla:

AEI

Áreas Científicas
Classificação	Área Científica
OFICIAL	Mecânica e Estruturas

Ocorrência: 2023/2024 - 2S

Ativa?	Yes
Unidade Responsável:	Departamento de Engenharia Civil
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	30	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 (2 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 (6,5 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. PRINCIPLE OF VIRTUAL WORKS (3 weeks)
Definition of virtual work and virtual displacement. Principle of virtual work and its application to determinate
structures.

5. INFLUENCE LINES (1 week)
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

Two laboratory works are carried out (truss and bending moment), to consolidate students' competences.

Tipo de avaliação

Distributed evaluation with final exam

Componentes de Avaliação

Designation	Peso (%)
Teste	80,00
Trabalho escrito	15,00
Trabalho laboratorial	5,00
Total:	100,00

Componentes de Ocupação

Designation	Tempo (Horas)
Estudo autónomo	52,00
Frequência das aulas	60,00
Trabalho escrito	40,00
Trabalho laboratorial	10,00
Total:	162,00

Obtenção de frequência

Continuous assessment with a minimum mandatory attendance of 80%

Fórmula de cálculo da classificação final

Continuous Assessment (CA):

FG = Individual exercises (80%) + Moodle exercices (15%) and Laboratory Group Work (5%)

Minimum grade of the average of the 4 regular exercises: 8.0 val.


Assessment by Exam:

NF = 100% Exam

Minimum exam grade: 9.5 val.

Grades higher than 16 require an oral exam

Observações

Topics are presented previously (on printed documents and films) and the most relevant aspects are emphasized on class, followed by the resolution, by students, of practical cases.