Strength of Materials 1

Code:

L.EC013

Acronym:

RM1

Keywords
Classification	Keyword
OFICIAL	Basic Sciences

Instance: 2021/2022 - 1S

Active?	Yes
Responsible unit:	Construction Materials Division
Course/CS Responsible:	Bachelor in Civil Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L.EC	256	Syllabus	2	-	6	71,5	162

Teaching language

Suitable for English-speaking students
Obs.: Não há turma em Inglês

Objectives

OBJECTIVES:

To determine the deformations and stress in linear elements that compose the statically determinated frame structures or statically indeterminated structures. General safety criteria. Principles to control safety, design and determination of maximum capacity of linear elements.

Learning outcomes and competences

SKILLS AND LEARNING OUTCOMES:

Fundamental concepts of Strength of Materials and definition of simplified models for the interpretation of the stress and strain states in linear elements, related to effects of normal stress (tension-compression) and bending moment (plane and curved bending), present in statically determinated or statically once indeterminated frame structures. Understanding the functioning of a structure in Ultimate Limit State (General Criteria for Safety Verification).

Working method

Presencial

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

PRIOR KNOWLEDGE:

The prior attendance and/or positive assessment in the Course Unit Mechanics 1 is recommended.

SPECIAL RULES FOR MOBILITY STUDENTS:

Students should have attended, previouslly, Course Units which provide introductory knowledge to the scientific subject of this Course Unit. They should also comply with the Attendence Criteria.

Program

Chapter 1 – Introduction
Aims of Strength of materials. Fundamental principles: Hooke’s law; small deformation hypothesis; effect overlap; S. Venant’s theory; plane section hypothesis. Linear component. Thrust and transverse force, bending and torsional moments. General safety criteria; calculation values. Limit states of resistance and service.

Chapter 2 – Traction and compression
The concept of traction and simple conversion. Stress and extension of elements that exist in cross sections of bars. Poisson effect. Extension of a fiber in relation to the axle. Deformation work. Potential energy of elasticity, fracture toughness. Fatigue. Thin-wall vessels subjected to uniform internal pressures. Biaxial and triaxial stress states and generalization of Hooke’s law. Volume variation Plane extensometry.

Chapter 3 – Plane Bending
Revision of stress diagrams. The concept of bending; plane and curved bending. Plane bending: normal stress in pure bending and simple bending. Deformation work. Variable and curved axis bars. Girder composites.

Chapter 4 – Deformation in plane bending
Differential equation of elasticity. Methods to calculate bending displacement: differential equation of elasticity integration method; the method of a dummy loading unit (or Maxwell-Mohr method). First degree hyperstatic problems of bending bars.

Chapter 5 – Unsymmetrical bending
Normal stress in unsymmetrical bending. Position of the neutral axis. Safety check to limit states.

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

The theoretical and practical subjects of Materials Mechanics and Strength of Materials constitute essential steps in Civil Engineering. They provide physical solutions for problems with simple geometry (linear elements), although the rheological material behavior can be wider (non-linear elasticity, plasticity, elasto-plasticity, etc.), and admit elements constituted of two or more materials (with located discontinuities). The study of strength of materials is based on the understanding of basic concepts and the use of simplified models.

Mandatory literature

Ferdinand P. Beer, E. Russell Johnston, Jr., John T. Dewolf ; trad. Mario Moro Fecchio; Resistência dos materiais, São Paulo : McGraw Hill, cop. , 2006. ISBN: 85-86804-83-5
Luís F. P. Juvandes; Resistência de Materiais 1 – Aulas Teóricas (2ª edição) – Anos Lectivos 2002 a 2005 (textos de apoio às aulas teóricas), Editorial da Feup , 2005
Luís F. P. Juvandes; Resistência dos Materiais 1+2 - Textos de Apoio – Colecção de Exercícios , Editorial da Feup, 2006
Russell C. Hibbeler; Mechanics of Materials, 8/E, Prentice Hall, 2011. ISBN: 0136022308
Victor Dias da Silva; Mecânica e Resistência dos Materiais, Ediliber, 1995

Complementary Bibliography

William A. Nash; Resistência dos materiais
Stephen P.Timoshenko ; trad.José Rodrigues de Carvalho; Resistência dos materiais

Teaching methods and learning activities

Theoretical classes: contents exposition supported by multimedia resources; formulation and solution of typical problems at the end of each unit; Consultation of support worksheets available in the Sifeup’s webpage. 

Practical classes: distribution of worksheets with problems to solve, chapter by chapter; teacher’s support to the students, individually, throughout the solution; if the whole class has a common doubt, the teacher will clear it to the class, so that the problem can be surpassed.

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

The used teaching methodologies allow to solve practical exercises directed to the analysis of real civil engineering problems, analysis, discussion and critical interpretation of results, emphasizing the potential of models and their limitations.

keywords

Technological sciences > Engineering > Civil engineering

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Designation	Weight (%)
Teste	25,00
Exame	75,00
Total:	100,00

Amount of time allocated to each course unit

Designation	Time (hours)
Estudo autónomo	50,00
Frequência das aulas	72,00
Total:	122,00

Eligibility for exams

To obtain of the final grade it is required fulfilling the attendance of the curricular unit, according to the established in the general evaluation rules of FEUP applied in the current academic year.

This point refers only to the obligation of Frequency (Attendance). The information about grades and classifications is provided in a specific part of this document. It is emphasized that the student's classification in all the assessment components is always obtained in the school year in progress.

Calculation formula of final grade

1. GENERAL ASPECTS

The Final Grade (CF) is defined based on a Distributed Assessment and a Final Exam in the Regular Season and/or in the Appeal Season. The Distributed Assessment is optional and it is not counted in the case of Exam for Improvement of Classification. . Students who do not succed in the Regular Season are admitted to the exam in the Appeal Season. All assessment components are expressed on a scale of 0 to 20.


2. DISTRIBUTED ASSESSMENT (AD)

The Distributed Assessment is optional and is always done for the school year in progress. It consists in two tests (AD1 and AD2), with equal quotations, and a total weight of 25%. These tests are made in the Moodle platform, on a date to be announced. The matter being evaluated in the 2 tests (AD1 and AD2), in terms of exercise sheets, is published after the publication of the AD Exams calendar defined by L.EC . The student's classification in the Distributed Assessment is given by:

CAD = 0,5 CAD1 + 0,5 CAD2 

where CAD1 and CAD2 represent the student's classification in the testes AD1 and AD2 respectively, rounded to one decimal. If the student does not perform an assessment component, a classification of zero is attributed to that component. The CAD grade is rounded to one decimal.


3. REGULAR SEASON (EN)

The final exam, to be made in the Regular Season, is a written test without consultation, about all of the Course Unit's programme. The Regular Season Classification (N) is given by:

N = max { 0,25 CAD + 0,75 CEN ; CEN }

where CEN represents the student's classification in the Regular Season's final exam, rounded to one decimal. The N grade is rounded to the unit.


4. APPEAL SEASON (ER)

The final exam, to be made in the Appeal Season, is a written test without consultation, about all of the Course Unit's programme. The Appeal Season Classification (R) is given by:

R = max { 0,25 CAD + 0,75 CER ; CER }

where CER represents the student's classification in the Appeal Season's final exam, rounded to one decimal. The R grade is rounded to the unit.


5. CALCULATION OF FINAL GRADE (CF)

The Final Grade (CF) is given by the following formula:

CF = max {N ; R}

The maximum Final Grade CF obtained under the conditions described before is limited to 16 values. To obtain higher classification is necessary to conduct a complementary oral test in conditions to be agreed with the regents of UC (no need to register with FEUP's Central Secretariat).

Examinations or Special Assignments

Not applicable.

Internship work/project

Not applicable.

Special assessment (TE, DA, ...)

The knowledge assessment for Students who require Special Exams, under the FEUP Evaluation Rules, will be carried out exclusively at a single moment by performing a written exam on all the subjects taught at UC, without consultation. The Special Exam classification, between 0 and 20 points, is rounded to the unit.

SPECIAL RULES FOR MOBILITY STUDENTS:

The assessment of students in these conditions is performed according to the criteria described in the fields "Calculation formula of final grade " and " Classification improvement ".

Classification improvement

Access to the Exam for improvement of Final Grade (CF) is only granted to students who already have approval to the UC and are properly registered for that purpose in FEUP's Central Secretariat.

The Classification Improvement is based on a written test in the Grade Improvement Season (FEUP's Specific Regulation for Student Assessment). The student's classification in that final exam is denoted by CM, between 0 and 20 points. The student's Final Grade is given by:

CM = CEN (ou CER) (rounded to the nearest integer)
CF = max {CA; CM}

where CA represents the student's Approval grade previous and does not enter the Distributed Assessment component.

The maximum Final Grade CF obtained under the conditions described before is limited to 16 values. To obtain higher classification is necessary to conduct a complementary oral test in conditions to be agreed with the regents of UC (no need to register with FEUP's Central Secretariat).

Observations

Temporary links for participation in Theoretical classes online:

A) Monday and Friday (Álvaro Cunha) - https://videoconf-colibri.zoom.us/j/81044187629

B) Wednesday and Thursday (Luis Juvandes) - https://videoconf-colibri.zoom.us/j/85649724369

Working time estimated out of classes: 5 hours/week