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Analysis of Statically Determined Structures

Code:

CVD007

Sigla:

AEI

Áreas Científicas
Classificação	Área Científica
OFICIAL	Mecânica e Estruturas

Ocorrência: 2021/2022 - 2S

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

Ciclos de Estudo/Cursos

Sigla	Nº de Estudantes	Plano de Estudos	Anos Curriculares	Créditos UCN	Créditos ECTS	Horas de Contacto	Horas Totais
CIVD	18	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, McGraw Hill, 2019
Pedro Neto; Análise da estatia de uma estrutura, 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	90,00
Trabalho escrito	5,00
Trabalho laboratorial	5,00
Total:	100,00

Componentes de Ocupação

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

Obtenção de frequência

 

Mandatory attendance of at least 80% to obtain frequency.

Fórmula de cálculo da classificação final

Continuous Assessment (CA)

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

- Individual exercises average grade (IE) (90%);

- Exercises and Tests to be performed in Moodle environment and a laboratory work (M) (10%).

The individual tests will be a total of 6 (six), all of which will be counted for the grade calculation, IE, and carried out in the academic period, in a date specified at least at the week before.

FG = CA = Individual exercises (90%) + Moodle exercices and Laboratory Group Work (10%)

 

Exam (E)

FG = E = Exam (100%)