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Analysis of Isostatic Structures

Code:

CVN007

Sigla:

AEI

Áreas Científicas
Classificação	Área Científica
OFICIAL	Mecânica e Estruturas

Ocorrência: 2019/2020 - 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	27	Study Plan	1	-	6	75	162

Língua de trabalho

Portuguese
Obs.: Português

Objetivos

The first chapter aims at defining the scope of the course and its importance within Civil Engineering. In the second chapter, the students learn to distinguish statically determined structures from others (hypostatic, hyperstatic and improperly constrained). With the syllabus taught at the third chapter the students acquire the ability to determine support reactions and internal forces in a structure. The connection of this ability with the concepts taught in the fourth chapter the students will be able to represent internal forces diagrams. With the syllabus taught at the fifth chapter the students acquire the ability to determine support reactions and internal forces using an energetic approach instead of equilibrium concepts. The energetic methods will be further used in following courses of the curricular plan. The ability to represent influence lines of support reactions and internal forces will be acquired with the syllabus taught in the sixth chapter.

Resultados de aprendizagem e competências

By the end of this course the student will 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; apply the Principle of Virtual Work in determinate structures; represent influence lines.

Modo de trabalho

À distância

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

The teaching methods include lecture classes, based on an expository technique in the classroom or laboratory
with the aim of transfer concepts, definitions and mechanisms of interpretation of the problems. With the
theoretical lessons, it is intended to provide students the knowledge to the pursuit of the course objectives. The
teaching methods also include practical classes that follow a strategy to solve problems, individually or in groups of students, with the monitoring of the teacher. With the practical classes, it is intended that the student acquires
the competence to understand, describe and relate the knowledge. The system of evaluation through the tests and
practical works has been established for an assessment throughout the semester of the acquired skills. The
evaluation by final examination further allows assessing if the skill of knowledge integration was attained.

Programa

INTRODUCTION (0.5 weeks).
The design of structures. Fundamental concepts in analysis of structures. Main models of structural analysis.
STATICAL DETERMINACY (2 weeks).
External determinacy. Improperly constrained structures. Internal determinacy.
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.
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.
VIRTUAL WORK PRINCIPLE (2.5 weeks).
Definition of virtual work and virtual displacement. Principle of virtual work and its application to determinate
structures.
INFLUENCE LINES (2 weeks).
Travelling loads. Influence lines for support reactions and internal forces in determinate structures.

Bibliografia Obrigatória

Beer, F. P.; Johnston, E. R.; Eisenberg, E. R.; Mecânica Vectorial Para Engenheiros. Estática, McGraw-Hill de Portugal, Sétima edição, 2006
Neto, P.; Análise da Estatia de uma Estrutura, 28 pp, ESTBarreiro/IPS, 2005
Ferreira, P.; Equilíbrio de Estruturas no Plano e no Espaço, ESTBarreiro/IPS, 2007
Brito, A.; Análise de Estruturas Isostáticas
Ferreira, P.; Diagramas de Esforços Internos em Peças Lineares, ESTBarreiro/IPS, 2007
Gonçalves, R.; Esforços em Peças Lineares, ESTBarreiro/IPS
Ferreira, P.; Princípio dos Trabalhos Virtuais, ESTBarreiro/IPS, 2007
Neto, P.; Neves, R.; Exercícios para as Aulas Práticas, ESTBarreiro/IPS, 2007

Métodos de ensino e atividades de aprendizagem

The teaching methods include lecture classes, based on an expository technique in the classroom or laboratory
with the aim of transfer concepts, definitions and mechanisms of interpretation of the problems. With the
theoretical lessons, it is intended to provide students the knowledge to the pursuit of the course objectives. The
teaching methods also include practical classes that follow a strategy to solve problems, individually or in groups of students, with the monitoring of the teacher. With the practical classes, it is intended that the student acquires
the competence to understand, describe and relate the knowledge. The system of evaluation through the tests and
practical works has been established for an assessment throughout the semester of the acquired skills. The
evaluation by final examination further allows assessing if the skill of knowledge integration was attained.

In the lecture classes, the course concepts are taught and illustrative examples are shown. The application of these
subjects, by means of exercises solved by the students, takes place in the practical classes, with the proper
monitoring.

The evaluation consists of several activities developed by the students during the semester or a final exam.

Tipo de avaliação

Distributed evaluation without final exam

Componentes de Avaliação

Designation	Peso (%)
Teste	60,00
Trabalho escrito	40,00
Total:	100,00

Componentes de Ocupação

Designation	Tempo (Horas)
Estudo autónomo	4,30
Frequência das aulas	4,00
Trabalho escrito	2,50
Total:	10,80

Obtenção de frequência

Fórmula de cálculo da classificação final

In the lecture classes, the course concepts are taught and illustrative examples are shown. The application of these
subjects, by means of exercises solved by the students, takes place in the practical classes, with the proper
monitoring.

The evaluation consists of several activities developed by the students during the semester or a final exam.

FINAL NOTE IS THE MAXIMUM BETWEEN:

(i) 100% Exam (1st Season, 2nd Season or Special Season);

(ii) Continuous assessment consists of, 10% Test 1+15% Test 2+ 35% Test 3+40% work group 

Minimum mark of 8,0 values for the work group and test3 (Note for approval to the Course of 9,5 values).  

The performance of the tests prevents the 1st period exam.

the minimum grade in the exam is 9.5 points (9.5 / 20).

Continuous assessment consists of: 1 group assignments and a three test.

The test will be performed in moodle.

Provas e trabalhos especiais

The group work consists of the preparation of a multimedia presentation on a topic, assigned, from the UC.