Strength of Materials II

Code:

EC0019

Acronym:

RMAT2

Keywords
Classification	Keyword
OFICIAL	Materials

Instance: 2018/2019 - 2S

Active?	Yes
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	209	Syllabus since 2006/2007	2	-	8	90	214

Teaching language

Portuguese and english

Objectives

JUSTIFICATION:
The subject Strength of Materials is essential for the graduation in Civil Engineering applications. It provides theoretical models to describe the behaviour of linear members, considering different types of materials, namelly linear-elastic and elastic-perfectlly plastic materials. Additional, more complex, material ersponses (such as viscoelasticity and nonlinear elasticity) are out of the scope of this Course Unit.  

OBJECTIVES:
Calculation od stresses and deformations in members subjected to axial effort, bending, shear and torsion (isolated or combined). Study of the stress state and the deformation state in 2D and 3D. Study of buckling problems.

Learning outcomes and competences

Knowledge: introduce the fundamental concepts of Strength of Materials and introduce the definition of simplified models of interpretation of the states of stress and strain in linear parts, concerning effects of normal stress (tension-compression) and bending moment (plane bending and unsymmetrical bending) present in reticulated structures isostatic or hyperstatic once.

Understanding: Enter the static calculation in determining the six efforts installed in a generic cross section of a linear member, to use the knowledge of static analysis seized in Mechanics. Present, in detail, the fundamental concepts of Strength of Materials through the theory of prismatic parts in terms of analysis of the stress state, the strain state, the description of the constitutive law of the material and the Theory of Elasticity. Understanding of the concept of Limit States.

Application: Solving practical exercises directed towards the analysis of real problems in civil engineering.

Analysis: Analysis, discussion and critical interpretation of results, demonstrating the potential of the models and their limitations.

Summary: Formulate simple solutions for practical applications in civil engineering.

Rating: Criticizing the chosen solutions and methodologies used, demonstrating the capabilities of the models and their limitations.

Working method

Presencial

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

PRIOR KNOWLEDGE:

Student should have attended, previouslly, the following Course Units: Mechanics 1, Mechanics 2 and Strength of Materials 1.

SPECIAL RULES FOR MOBILITY STUDENTS:

Knowledge of Portuguese language (spoken and written) is required. 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 - Shear
"Technical" shear, elements for the calculation of screwed and welded connections. Interface shear stresses and shear stresses in simple bending. Shear stresses in beams of thin wall and open section. Torsional or shear center. Shear stresses in single-cell box beams. Deformations due to the shear effort, reduced shear section, warping of the transversal sections.

Chapter 2 – Torsion
Bars of circular section.
Membrane analogy, rectangular sections, open sections of thin walls. Tubular bars of thin wall, Bredt formulas.

Chapter 3 - Combination of N-M-V-T efforts
Diagrams for structures submitted to composed bending, shear and torsion. Eccentric compression and composed bending. Central nucleus and stress analysis. Sections with non resistant material to tensile stresses.

Chapter 4 - Stress state and Deformation state in 2D and 3D 
Plane stress state. Mohr's Circle. Determination of the principal stresses and their orientation. 3D stress state. Yield criteria. 3D Mohr's Circle. State of deformation. Concept of homogenius deformation. Principal strains. Compatibility equations. Hooke's Law for 3D.

Chapter 5 – Buckling
Critical loads in perfect and imperfect elements. Buckling coefficients according to the R.E.A.E. (Portuguese Code for Steel Structures for Buildings).

DISTRIBUTION OF MATTERS: Chapter 1: 25%; Chapter 2: 9%; Chapter 3: 17%; Chapter 4: 31%; Chapter 5: 9%;


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 locaL discontinuities). The study of strength of materials is based on the understanding of basic concepts and the use of simplified models.

Mandatory literature

Beer, Ferdinand P; Mecânica dos materiais. ISBN: 972-773-145-7
Luís F. P. Juvandes; Resistência de Materiais 2 – Aulas Teóricas – Ano Lectivo 2004/2005 , Editorial da Feup
Luís F. P. Juvandes; Resistência dos Materiais 1+2 - Textos de Apoio – Colecção de Exercícios, publicação disponível na Editorial da Feup
Russell C. Hibbeler; Mechanics of Materials in SI Units, 10/E. ISBN: 1292178205
Victor Dias da Silva; Mecânica e Resistência dos Materiais, Ediliber, 1995

Complementary Bibliography

Massonnet, Charles; Résistance des matériaux
Timoshenko, Stephen P; Resistência dos materiais
Nash, William A.; Resistência dos materiais
J. Mota Freitas; Sebenta de Resistência de Materiais, FEUP, 1978

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 > Structural engineering

Evaluation Type

Distributed evaluation without final exam

Assessment Components

Designation	Weight (%)
Teste	90,00
Trabalho escrito	10,00
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

Achieving a Final Grade requires compliance with attendance rules according to the MIEC assessment rules. It is considered that students meet the attendance requirements if, having been regularly enrolled, the number of absences of 25% for each of the classes’ types is not exceeded.

The MIEC assessment rules include exemption criteria for students who meet specific conditions.

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, which consists of: two written tests (T1 and T2); assessment of the regular work developed by the student solving the problems of the the Worksheets proposed in the theoretical-practical classes, denoted by AP. The component AP is only applicable to students who meet the attendence criteria to the theoretical-practical classes in the shool year in progress.

Students who do not succed in the Distributed Assessment (AD) are admitted to the exam in the Appeal Season.

All assessment components are expressed on a scale of 0 to 20, rounded to one decimal point.

2. DISTRIBUTED ASSESSMENT (AD)

The Distributed Assessment is mandatory and is always done for the school year in progress.

Test T1 is a written test, without consultation, with a duration of 60 minutes. It includes a theoretical and a practical module, with a quotation of 8 values and 12 values respectivelly. The matter evaluated in this test corresponds to the Worksheets 2 to 4. The test takes place on the date and place indicated in the Contents of the Course Unit (in SIGARRA). The student's classification in the Test T1, in a scale 0-20 and  rounded to one decimal, is denoted by CT1.

Test T2 is a written test, without consultation, with a duration of 120 minutes. It includes a theoretical and a practical module, with a quotation of 8 values and 12 values respectivelly. The matter evaluated in this test corresponds to the Worksheets 5 to 9. The test takes place on the date and place indicated in the Exams's Calendar (Regular Season). The student's classification in the Test T2, in a scale 0-20 and rounded to one decimal, is denoted by CT2.

The assessment component denoted by AP focuses on the work developed by the student solving the exercises proposed in the Worksheets. The students should deliver the solved Worksheet on the date fixed for that purpose. There is no possibility to repeat this assessment component later.The student's classification in the assessment component is denoted by CAP.

If the student does not perform an assessment component, a classification of zero is attributed to that component in the calculation of the Distributed Assessment grade.

For students who meet the attendence criteria to the thoretical-practical classes in the shool year in progress, the Distributed Assessment grade (AD) is given by the formula:

AD = 0,1 CAP + 0,35 CT1 + 0,55 CT2

For students who do not meet the attendence criteria to the thoretical-practical classes in the shool year in progress, the Distributed Assessment grade (AD) is given by the formula:

AD = 0,4 CT1 + 0,6 CT2

The AD grade is rounded to the unit. 

3. APPEAL SEASON (ER)

The Appeal Season Exam is a written test without consultation. It includes a theoretical and a practical module, with a quotation of 8 values and 12 values respectivelly. The test takes place on the date and place indicated in Exams Calendar (Appeal Season). 

The student chooses the modality to perform the Appeal Season Exam among the three following alternatives:
(i) Repetition of Test T1, according to the criteria described in section "2. DISTRIBUTED ASSESSMENT (AD)". The student's classification in this test, rounded to one decimal, is denoted by CRT1;
(ii) Repetition of Test T2, according to the criteria described in section "2. DISTRIBUTED ASSESSMENT (AD)". The student's classification in this test, rounded to one decimal, is denoted by CRT2;
(iii) Global Exam, which includes the whole subject lected at UC, with a duration of 180 minutes. The student's classification in this test, rounded to one decimal, is denoted by CEG.

For students who meet the attendence criteria to the thoretical-practical classes in the shool year in progress, the Distributed Assessment grade (AD) is given by the following formula, depending on the coosen modality:

(i)  ER = 0,1 CAP + 0,35 CRT1 + 0,55 CT2
(ii) ER = 0,1 CAP + 0,35 CT1 + 0,55 CRT2
(iii) ER = 0,1 CAP + 0,9 CEG


For students who do not meet the attendence criteria to the thoretical-practical classes in the shool year in progress, the Distributed Assessment grade (AD) is given by the following formula, depending on the coosen modality:

(i)  ER = 0,4 CRT1 + 0,6 CT2
(ii) ER = 0,4 CT1 + 0,6 CRT2
(iii) ER = CEG

The grade ER is rounded to the nearest unit.

4. CALCULATION OF FINAL GRADE (CF)

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

CF = max {AD ; ER}

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 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:

Knowledge of Portuguese language (spoken and written) is required. 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. The assessment of students in these conditions is performed according to the criteria described in the fields "Fórmula de cálculo da classificação final" and "Melhoria de classificação".

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.

Classification Improvement shall be made exclusively in the Appeal Season Exam.

Except for students who got aproval in the previsous school year, the Classification Improvement is based on a written test, in the Appeal Season Exam, in one of the modalities described in section "3. APPEAL SEASON (ER)". The student's Final Grade is given by the formula:

CF = max {AD ; ER}

For students who got aproval in the previsous school year, the Classification Improvement is based on the written test (Appeal Season Exam) covering all the Course Unit's matter, with a duration of 180 minutes.

To get a Final Grade higher than 16 values, the student has to undertake a complementary oral test.

Observations

Working time estimated out of classes: 5 hours.