Mechanics 1

Code:

EC0009

Acronym:

MECA1

Keywords
Classification	Keyword
OFICIAL	Structures

Instance: 2006/2007 - 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
LEC	4	Plano de estudos de transição para 2006/07	1	7	7	75	187
MIEC	321	Syllabus since 2006/2007	1	-	7	75	187
		Plano de estudos de transição para 2006/07	1	-	7	75	187

Teaching language

Portuguese

Objectives

To instruct and to develop the ability to interpret problems of mechanics of systems of particles and rigid bodies in static conditions, by introducing theoretical concepts and practical methodologies to solve engineering problems, with emphasis in Civil Engineering.

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

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 discipline are discussed in the theoretical lessons and in the practical lessons. Exposition and explanation of concepts, principles and methods, complemented with the resolution of some illustrative problems of the exercises sheets, are done in the theoretical lessons. In the practical lessons, it is promoted the discussion of problems proposed at the exercises sheets, being the students stimulated to solve individually or in group these problems.

keywords

Physical sciences > Physics > Statics

Evaluation Type

Evaluation with final exam

Eligibility for exams

The conditions for the frequency attainment are those expressed in the article 4º of the General Norms of Evaluation of the FEUP. Furthermore, the proposed problems have to be adequatelly developed and delivered during a pre-defined period of time.

Calculation formula of final grade

The final classification is given by the written final exam result.

Special assessment (TE, DA, ...)

The students with special statute are evaluated following the same procedures as the ordinary students.

Classification improvement

The classification improvement follows the rules established in the article 10º of the General Norms of Evaluation of the FEUP.

Observations

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Working time estimated out of classes: 4 hours