Strength of Materials I

Code:

EC0015

Acronym:

RMAT1

Keywords
Classification	Keyword
OFICIAL	Materials

Instance: 2013/2014 - 1S

Active?	Yes
Web Page:	http://civil.fe.up.pt/pub/apoio/ano2/rm1/index.htm
E-learning page:	http://moodle.up.pt/
Responsible unit:	Construction Materials Division
Course/CS Responsible:	Master in Civil Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MIEC	300	Syllabus since 2006/2007	2	-	8	90	214

Teaching language

Portuguese

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

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 use.

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. Equally resistant bars. Thin-wall tubes under uniform radial pressure. 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). Mohr theorems. First degree hyperstatic problems. Elements of the elasto-plastic analysis of bending bars.

Chapter 5 – Curved bending
Normal stress in curved bending. Position of the neutral axis.

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

Russell C. Hibbeler; Mechanics of Materials, 8/E, Prentice Hall, 2011. ISBN: 0136022308
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
Victor Dias da Silva; Mecânica e Resistência dos Materiais, Ediliber, 1995

Complementary Bibliography

Luís F. P. Juvandes; Resistência dos Materiais 1+2 - Textos de Apoio – Colecção de Exercícios , Editorial da Feup, 2006
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, the board and transparencies; 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 (%)
Exame	75,00
Teste	25,00
Total:	100,00

Amount of time allocated to each course unit

Designation	Time (hours)
Estudo autónomo	60,00
Total:	60,00

Eligibility for exams

 The theoretical and practical classes are Frequency (Attendance) mandatory.

 To obtain frequency (Attendance) the student does not exceed the maximum number of absences to both types of classes referred to in accordance with the MIEC assessment rule. This school year such limits shall be:

- Theoretical classes - 10 absences.

- Practical classes (2 classes per week of 1.5 h) - 7 absences.

- Practical classes (with a weekly class 3h) - 3.5 absences.

 Are exempted from obtaining frequency the following cases (MIEC assessment rule):

- Predicted by law, including student workers;

- Students who have met the conditions of attendance in previous academic years.

 This point refers only to the obligation to Frequency (Attendance), excluding the information obtained from the classification component Distributed Evaluation which is regulated at the point of "Final Classification". It is emphasized that the classification of the Distributed Evaluation is always obtained in the school year in progress.

 

 

Calculation formula of final grade

Distributed evaluation with final exam.

The final grade is determined based on a Distributed Evaluation, which consists of 3 tests to perform during the class period, and a final exam. All assessment components are expressed on a scale of 0 to 20. The total weight of the distributed evaluation of the final will be 25% and the remaining 75% on the final exam.

1. DISTRIBUTED EVALUATION:

The component Distributed Evaluation is mandatory and is always done for the school year in progress. The assessment rating distributed previously obtained in earlier school years is not maintained in the current year.

The distributed component consists of evaluating knowledge 3 "Moments of Distributed Evaluation" (MAD), with equal weights. Take place on schedule coinciding with theoretical classes in computer rooms, and in the manner specified dates in the Contents of UC. These moments turn to Moodle, lasting 15 minutes and without consultation. Each MAD is ranked 0-20 based on values rounded to one decimal.

It is not allowed to improve the classification of component "Distributed Evaluation".

2.EXAME FINAL:

Only have access to "Final Exam" (Regular Season and Appeal) Students who have obtained "Frequency (Attendance)" or been exempted from this and Students enrolled for improving classification according to the situations provided for in the Rules of Assessment MIEC .

The "Final Exam" (Regular Season and Resource) is a written examination and without consultation, divided into two distinct modules (Theory and Practice). Quotation modules: Theoretical - 8 values; Practice - 12 values. The classification of the "Final Exam" (Regular Season and Resource), based on the values 0-20, is rounded to one decimal.

3. CALCULATION OF FINAL RATING:

 

The final classification (CF) is the weighted average of the marks obtained in the component "Distributed Evaluation" (CAD) and component "Final Exam" (EF) according to the formula:

CF = PA/3xCAD1 + PA/3xCAD2 + PA/3xCAD3 + PFxEF

CAD1 – classificação da prova de avaliação 1 (MAD 1) a realizar durante uma aula (teórica);
CAD2 – classificação da prova de avaliação 2 (MAD 2) a realizar durante uma aula (teórica);
CAD3 – classificação da prova de avaliação 3 (MAD 3) a realizar durante uma aula (teórica);
EF – classificação do exame final a realizar nas Épocas Normal e/ou de Recurso.

Às classificações CAD1, CAD2, CAD3 e EF estão associados os seguintes pesos:

PA = 25%
PF = 75%

The "Finishing" maximum obtained under the conditions described in this paragraph is limited to 16 (sixteen) values. To obtain higher classification is necessary to conduct a complementary oral test conditions to be agreed with the regents of UC (no need to register with the General Secretariat of FEUP).

The calculation of "Finishing" for students who have already adopted the UC (final grade equal to or higher than 10) and undergo new "Final Exam" is governed by the criteria of "Improvement of Final".

Special assessment (TE, DA, ...)

The evaluation of the students that, under paragraph 3 of Article 4 of the General Evaluation Rules, are dismissed from frequency will have to do the final exam in one of the examination periods (regular or re-sit periods) indicated in Article 6 of the General Evaluation Rules.

The final classification will be given according to the criteria described in “Final classification”-

SPECIAL RULES FOR MOBILITY STUDENTS:
Proficiency in Portuguese;
Previous attendance of introductory graduate courses in the scientific field addressed in this module;
Evaluation by final exam.

Classification improvement

The final classification improvement will be done with a single written test. In order to have a classification equal or superior to 16 marks, the student must take a complementary oral test.

Observations

PRIOR KNOWLEDGE:

Non-attendance and / or approval in UCs Mechanics 1 and Mechanics 2 raise additional difficulties.

SPECIAL RULES FOR MOBILITY STUDENTS:

Proficiency in Portuguese;
Frequency introductory graduate courses in the scientific field addressed in this module;

Meet the condition of "Frequency (Attendance)" at UC in the school year 2012/2013 (criteria described in "Obtaining Frequency (Attendance)").

The mode of assessment is mixed, consisting of a component "Distributed Evaluation" and an evaluation component for "Final Exam." The weighting coefficients are 0.25 and 0.75, respectively. The criteria for the calculation of "Finishing" are as described in the previous general points.

Working time estimated out of classes: 5 hours