Mechanics I

Code:

EM0014

Acronym:

M I

Keywords
Classification	Keyword
OFICIAL	Physics

Instance: 2013/2014 - 2S

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
MIEM	268	Syllabus since 2006/2007	1	-	6	58,5	162

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).

Learning outcomes and competences

Students should learn the key concepts of static equilibrium solving problems of static equilibrium of bodies assessing the connecting forces of these to the exterior. They should also learn how to determine the center of mass of bodies and characterize the mass distribution by obtaining the inertia matrix.

Working method

Presencial

Pre-requirements (prior knowledge) and co-requirements (common knowledge)

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.

 

Program

STATICS: 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).

GEOMETRY of MASSES: 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.

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

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

Assessment Components

Designation	Weight (%)
Exame	95,00
Participação presencial	5,00
Total:	100,00

Amount of time allocated to each course unit

Designation	Time (hours)
Estudo autónomo	106,00
Frequência das aulas	56,00
Total:	162,00

Eligibility for exams

According to the FEUP regulations

Calculation formula of final grade

1st Test T1, compulsive, April 22, 2014, 50% final mark, approx 50% of the UC program requires a minimum score of (8/20) val

2nd test T2, exclusive to students with/ note T1> (8/20) val, subject subsequent to T1, test wiyh / 50% weight in the final mark, requires a minimum score of (8/20) val

Final Exam EF, SIMULTANEOUSLY WITH / T2, REQUIRED for those who got T1 <(8/20) val; any student may choose to do EF alternatively  to T2 , EF includes all matter

Appeal Exam ER, for those who did not obtain a minimum score on T1 or T2, or without averaging 10 val in both tests or EF or to improve their grades. This exam also includes all matter

All tests lasting 2:30 pm

The final classification, CF obtained by: CF = (notaT1 notaT2 +) / 2, since T1>8  and T2> 8 or CF = EF Note or Note CF = ER

A final grade equal to or higher than 10 (20) is necessary to obtain the approval in the discipline.

Examinations or Special Assignments

It is not foreseen

Internship work/project

It is not foreseen

Special assessment (TE, DA, ...)

According to the FEUP regulations.

 

Classification improvement

 According to the FEUP regulations.

Observations

Marks exceeding 17 values in the discipline require validation by oral examination.