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Mechanics

Code:

CVN034

Sigla:

MEC

Áreas Científicas
Classificação	Área Científica
OFICIAL	Mecânica e Estruturas

Ocorrência: 2023/2024 - 1S

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	19	Study Plan	1	-	7	82,5	189

Língua de trabalho

Portuguese

Objetivos

It is intended that after the attendance of this course unit, students are able to solve problems involving the equilibrium of particles and rigid bodies, with and without friction; to obtain the mass centre position and the moment of inertia of composite bodies; to resolve problems of stability and equilibrium through energetic concepts.

Resultados de aprendizagem e competências

Students must acquire basic mechanical skills (forces, moments, balance) indispensable in a civil engineering training.

Modo de trabalho

Presencial

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

Mathematical concepts: trigonometry, vectors, internal product, external product.

Programa

Statics - 6,0 weeks
Fundamental concepts and principles. Equilibrium of the particle and the rigid body in a plane and in space. Free-body diagrams. Reactions at supports in a plane and in space. Analysis of the external connections of a rigid body.

Geometry of bodies - 3,0 weeks
Centre of gravity and centroid. Punctual and distributed masses. First moments.
Composite bodies. Distributed forces. Forces on submerged surfaces. Moment of inertia and second moments. Radius of gyration. Parallel-axis Theorem.

Friction - 3,0 weeks)
The laws of dry friction. Coefficients of friction. Angles of friction. Problems involving dry friction. Wedges. Wheel friction. Rolling resistance. Belt friction.

Virtual work method - 2,0 weeks
Systems of rigid bodies and machines. Work of a force during a finite displacement. Virtual displacements and virtual work. Work and potential energy. Equilibrium: potential energy and stability.

Bibliografia Obrigatória

Beer; Johnston; Mecânica Vetorial para Engenheiros: Estática, McGraw Hill, 2019
Pedro Ferreira; Mecânica: Estática; Geometria de Massas; Atrito, 2008
João Vinagre; Folhas de Mecânica , 2020

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.

Two laboratory works are carried out (funicular of forces and friction), to consolidate students' competences

Tipo de avaliação

Distributed evaluation with final exam

Componentes de Avaliação

Designation	Peso (%)
Trabalho escrito	15,00
Trabalho laboratorial	10,00
Participação presencial	75,00
Total:	100,00

Componentes de Ocupação

Designation	Tempo (Horas)
Estudo autónomo	86,50
Frequência das aulas	67,50
Trabalho escrito	25,00
Trabalho laboratorial	10,00
Total:	189,00

Obtenção de frequência

Continuous assessment with a minimum mandatory attendance of 80%

Fórmula de cálculo da classificação final

Continuous assessment:

NF = 65% RE (average of the 6 regular exercises) + 15% TM (average of assignments done in Moodle) + 10% TL (average of two laboratory reports).

Minimum grade of the average of the 6 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