Mechanics I

Code:

L.EGI012

Acronym:

M I

Keywords
Classification	Keyword
OFICIAL	Physics

Instance: 2024/2025 - 1S

Active?	Yes
Responsible unit:	Applied Mechanics Section
Course/CS Responsible:	Bachelor in Industrial Engineering and Management

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L.EGI	140	Syllabus	2	-	6	52	162

Teaching language

Portuguese

Objectives

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 Mechanical Engineering.

LEARNING OUTCOMES: Develop technical skills related to the acquisition of knowledge of structural materials in the training of the industrial engineer and the application of knowledge in new problems and the exploration of new concepts.

At the end  of this course it is expected that students

-Can identify all actions on a given structure and draw the respective free body diagram;

- Know how to apply vector calculus to the study of static and subside the concepts of static balance of body systems;

- Be able to correctly identify the forces in the connections and determine them, with and without the presence of dry friction in the analysis of structures;

- Be able to characterize areas and bodies to determine their centroid, centre of mass, moments and products of inertia and also their matrix of inertia.

Learning outcomes and competences

Students should learn the key concepts of static equilibrium solving problems of bodies and calculating the forces connecting these to the exterior. They should also learn to determine the centre 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)

 Students should know vector algebra and integral calculus.

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

Chapter 4 - 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 5 - DRY FRICTION
Introduction to the study of simple contact Friction (Coulomb).

Chapter 6 - GEOMETRY OF MASSES
Properties of surfaces and bodies. The 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.

DEMONSTRATION OF THE SYLLABUS COHERENCE WITH THE CURRICULAR UNIT'S OBJECTIVES:

The Mechanics 1 Course is the first milestone in the specific training of an industrial engineer, corresponding to the introduction of fundamental concepts that allow the evaluation of the equilibrium in engineering structures, which is the basis of their design.

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 course are discussed in theoretical and tutorial 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 tutorial classes, the discussion of problems proposed at the exercise sheets is promoted and the students are stimulated to solve those problems individually or in a group.

DEMONSTRATION OF THE COHERENCE BETWEEN THE TEACHING METHODOLOGIES AND THE LEARNING OUTCOMES:

The presentation and explanation of concepts, principles and methods of structural design in statically determined structures and the approach to practical examples related to Mechanical Engineering, stimulating the students to solve the proposed problems individually or in groups, allow the achievement of calculation skills that are later used in the structural design.

keywords

Physical sciences > Physics > Statics

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Designation	Weight (%)
Exame	100,00
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'S SPECIFIC STUDENT ASSESSMENT REGULATION (Article 6).

Calculation formula of final grade

1st test T1, mandatory, planned in the mid of semester; 50% final note, approx 50% of the UC program requires a minimum score (8/20).

2nd test T2, exclusively for students with Note T1> (8/20) Val, later subject to T1; test w/50% weight in the final grade requires a minimum score of (8/20).

Final Exam EF, SIMULTANEOUSLY C/T2, MANDATORY for those who got T1 <(8/20); any student may choose EF instead of T2; EF covers all the material presented since the beginning.

Resit (ER exam), applies for those who did not obtain a minimum score in T1 or T2, or without an average grade of 10 (in 20) in both tests or EF or to improve their grades. This exam also includes all matter

T1 and T2 tests lasting 2: 00 and EF and ER lasting 2: 30h

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

Discipline approval is obtained for a final grade equal to or greater than 10 (in 20).

 

Examinations or Special Assignments

Not foreseen.

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 per student profile.

Classification improvement

According to FEUP'S SPECIFIC STUDENT ASSESSMENT REGULATION (Article 11).

Observations

PREVIOUS KNOWLEDGE- This curricular unit assumes that the student has the basic knowledge of Physics, taught at the secondary school level, good knowledge of Mathematical Analysis I and II and Algebra.

Working time estimated out of classes: 4 hours/week