Mechanics 1

Code:

EC0009

Acronym:

MECA1

Keywords
Classification	Keyword
OFICIAL	Structures

Instance: 2010/2011 - 2S

Active?	Yes
Responsible unit:	Structural Division
Course/CS Responsible:	Master in Civil Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MIEC	356	Syllabus since 2006/2007	1	-	7	75	187

Teaching language

Portuguese

Objectives

This course aims to teach and develop students’ skills on problems of mechanics of particles and rigid bodies in static conditions, by introducing theoretical concepts and practical methodologies to solve engineering problems, with a special emphasis on Civil Engineering.
This course aims also to develop students’ technical skills regarding structural matters, which are relevant to train a civil engineer, according to lines 1.1, 1.2 and 1.3 of CDIO (Conceiving, Designing, Implementing and Operating real-world systems and products) standards.
This course also aims to develop students’ personal and professional skills according to lines 2.1 and 2.2 of CDIO standards, and also to develop their reasoning and teach them how to apply knowledge in new problems and explore new concepts.

Program

Chapter 0 - MECHANICS – AN ENGINEERING SCIENCE
Fundamental concepts; Newton laws; Units of measurement.

Chapter 1 - FORCE VECTORS AND EQUIVALENT FORCE SYSTEMS
Scalars and vectors; Vector operations; Equilibrium of a particle; Moment of a force; Moment of a force system; Defining elements of a force system; Projection property of a force system; Scalar invariant and vector invariant; Classification of force systems; Equivalent force systems; Varignon theorem; Center of parallel forces; Elementary static transformations; Reduction of a simple distributed loading.

Chapter 2 - EQUILIBRIUM OF A RIGID BODY
Equations of equilibrium; Constraints and supports of a rigid body - Degrees of freedom; Classification of rigid bodies considering constraints; Equilibrium of rigid bodies - stable equilibrium and unstable equilibrium; Evaluations of support reactions; Equilibrium in two dimensions; Equilibrium in three dimensions.

Chapter 3 - PLANE STRUCTURAL ANALYSIS
Single supported beams and cantiliver beams, loading type and supports; Three hinges archs and association of structural systems.

Chapter 4 - TRUSSES
Internal rigidity and isostaticity; Global isostaticity; bar internal forces; The method of joints; The method of
sections.

Chapter 5 - INTERNAL FORCES AND DIAGRAMS
Internal forces in linear elements; Axial force; Shear force; Bending moment; Internal forces diagrams; Relations between load, shear force and bending moment.

Chapter 6 - PLANE CABLES AND CHAINS
Cables subjected to concentrated loads; Cables subjected to a distributed load - parabolic cables and catenaries.

Chapter 7 - METHOD OF VIRTUAL WORK
Definiton of virtual work and virtual displacement; Principle of virtual work; Equilibrium of rigid bodies by the method of virtual work.

Mandatory literature

Beer, Ferdinand P; Mecânica vectorial para engenheiros. ISBN: 972-8298-84-6
Meriam, James Lathrop; Mecânica. ISBN: 85-216-1402-0
Elsa Caetano; Mecânica 1, conjunto de transparentes de apoio às aulas teóricas, 2001-09
António Abel Henriques; Mecânica 1 - Acetatos das aulas teóricas, 2006 - 10

Complementary Bibliography

Hibbeler, R. C.; Engineering Mechanics. ISBN: 0-13-066197-X
Bedford, Anthony; Statics. ISBN: 0-201-40340-4

Teaching methods and learning activities

All subjects of the course are discussed in theoretical and practical classes.
Theoretical classes will be based on the presentation and explanation of concepts, principles and methods, complemented with the resolution of some illustrative problems of the exercises sheets. In practical classes, it is promoted the discussion of problems proposed at the exercises sheets, being the students stimulated to solve them individually or in group.

keywords

Physical sciences > Physics > Statics

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Attendance (estimated)	Participação presencial	65,00
	Teste	1,00		2011-04-14
	Teste	1,00		2011-05-26
	Total:	-	0,00

Eligibility for exams

According to General Evaluation Rules of FEUP (Article 4).
Furthermore, the proposed problems have to be adequately done and delivered during a pre-defined period of time.

Calculation formula of final grade

The mark of the final exam.

Special assessment (TE, DA, ...)

Students with special statuses are assessed in the same way as ordinary students.

SPECIAL RULES FOR MOBILITY STUDENTS:
Proficiency in Portuguese and/or English;
Previous attendance of introductory graduate courses in the scientific field addressed in this module;
Evaluation by exam and/or coursework(s) defined in accordance with student profile.

Classification improvement

According to General Evaluation Rules of FEUP (Article 10).

Observations

............................................................
Working time estimated out of classes: 4 hours