Mechanics I

Code:

EM0014

Acronym:

M I

Keywords
Classification	Keyword
OFICIAL	Applied Mechanics
OFICIAL	Physics

Instance: 2011/2012 - 1S

Active?	Yes
Responsible unit:	Applied Mechanics Section
Course/CS Responsible:	Master in Mechanical Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MIEIG	152	Syllabus since 2006/2007	2	-	6	70	160

Teaching language

Portuguese

Objectives

BACKGROUND
A good engineering background should have a strong component in physics. An engineer who has mastered the key concepts of physics and learns the methods of analysis has an advantage in studying and designing new solutions. The students should identify correctly the forces acting on a structure and its connections. They should be able to perform the characterization of the internal loads resulting from external forces and also to characterize the components in respect to its mass distribution.

SPECIFIC AIMS
In this course the student should acquire a good education in the study of static friction of the dry and in the calculation of centers of gravity and moments of inertia.
In what concerns statics they should be able to identify all the actions and external connections on a structure and to obtain the free body diagram; use the vector calculus to solve static problems and know the concepts of static equilibrium and body system; they should be able to analyze the internal loads in frames and identify its connection forces with and without dry friction (Coulomb);
In the same way they should acquire knowledge to study mass distribution to obtain the gravity center and inertia matrix of 2D and 3D bodies. The students should be familiar with the fundamental concepts to obtain the first and the second moment and product of areas and solids (the centroid and the inertia matrix).

PREVIOUS KNOWLEDGE
EM0005 Vector Algebra; Matrices; Determinants; Systems of Linear Equations; Linear Spaces, Transformations and Matrices; Eigenvalues and Eigenvectors.
EM0009 Functions and graphs. The limit concept, the concept of continuity at a point and the derivative of a function.
EM0010 Evaluation of double integrals over general regions in R2 using rectangular and polar coordinates. Calculation of triple integrals over regions on R3 using rectangular, cylindrical and spherical coordinates.

PERCENTUAL DISTRIBUTION
Scientific component: 100%.
Marks higher than 17/20 must be confirmed by oral examination

LEARNING OUTCOMES
Used of vector mechanics applied to statics and a good understanding of the concepts of Force, Moment, couple and resultant of a force system. Analysis of the Static equilibrium in two and three dimensional systems of bodies and structures. System Definition and its free body diagram. Introduction to structural mechanics: method of joints and method of sections in a simple truss of 2 and 3 dimensions. Introduction to the study of simple contact Friction (Coulomb).
Properties of surfaces and bodies. First moment of area and centroid. Theorems of Pappus-Guldinus. Second moment and product second moment of areas and solids. Transfer theorem (Steiner). Rotation of axes and relations between second moment and product second moment of area. Principal axes and matrix of inertia.

Program

Introduction to vector mechanics applied to statics and presentation of the concepts of Force, Moment, couple and resultant of a force system. Static equilibrium in two and three dimensional systems. System Definition and its free body diagram. Introduction to structural mechanics: method of joints and method of sections in a simple truss. Introduction to the study of simple contact Friction (Coulomb).
Properties of surfaces and bodies. First moment of area and centroid. Theorems of Pappus-Guldinus. Second moment and product second moment of areas and solids. Transfer theorem (Steiner). Rotation of axes and relations between second moment and product second moment of area. Principal axes and matrix of inertia.

Mandatory literature

Beer, Ferdinand P; Mecânica vetorial para engenheiros

Complementary Bibliography

Meriam, James L.; Estática. ISBN: 85-216-0275-8
Vasco Sá / Mário Vaz; Texto de apoio disponível via SiFEUP
Hibbeler, R. C.; Engineering mechanics. ISBN: 0-02-354070-0

Teaching methods and learning activities

Theoretical classes with exposition of the relevant theory and Practical classes to solve typical problems related to each unit. Suggestion of problems to solve individually in class and at home.

keywords

Physical sciences

Evaluation Type

Evaluation with final exam

Eligibility for exams

According to "NORMAS GERAIS DE AVALIAÇÃO"