Mechanics I
Keywords |
Classification |
Keyword |
OFICIAL |
Applied Mechanics |
OFICIAL |
Physics |
Instance: 2010/2011 - 1S
Cycles of Study/Courses
Acronym |
No. of Students |
Study Plan |
Curricular Years |
Credits UCN |
Credits ECTS |
Contact hours |
Total Time |
MIEIG |
130 |
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
Distributed evaluation with final exam
Assessment Components
Description |
Type |
Time (hours) |
Weight (%) |
End date |
Attendance (estimated) |
Participação presencial |
48,00 |
|
|
Partial test (Statics) |
Exame |
3,00 |
|
2010-11-19 |
Partial test (Matrix of Inertia) |
Exame |
3,00 |
|
|
Recourse (Partial/total) |
Exame |
3,00 |
|
|
Problem resolution |
Teste |
65,00 |
|
|
|
Total: |
- |
0,00 |
|
Amount of time allocated to each course unit
Description |
Type |
Time (hours) |
End date |
Study |
Estudo autónomo |
40 |
|
|
Total: |
40,00 |
|
Eligibility for exams
According to "NORMAS GERAIS DE AVALIAÇÃO"