Strength of Materials II

Code:

EC0019

Acronym:

RMAT2

Keywords
Classification	Keyword
OFICIAL	Materials

Instance: 2013/2014 - 2S

Active?	Yes
Web Page:	http://civil.fe.up.pt/pub/apoio/ano2/rm2/ano2_rm2.htm
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	302	Syllabus since 2006/2007	2	-	8	90	214

Teaching language

Portuguese

Objectives

Resolution of hiperstatics bending structures; determination of tensions and deformations in any point of the bars submitted to the axial efforts, bending, cut and twist, and its combination. Study of the tension state and deformation in a point (2D and 3D). Study of the instability of compressed bars.

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 (bending plane and diverted ) present in reticulated structures isostatic or hyperstatic once.

Understanding: Enter the static calculation in determining the six efforts installed a generic cross section of a piece linear in space, 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 state extension, the description of the constitutive law of the materials and the Theory of Elasticity. Reticulated structures present isostatic hyperstatic and once subjected to axial forces and bending moments. Understanding the function of a structure in Limit State Security (General Criteria for Security Check).

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

Program

Chapter 1 - Cut
"Technician" cut, elements for the calculation of screwed and welded linkings. Levelling or slipping efforts, and tangencial tensions in simple bending. Tangential tensions in beams of thin wall and open section. Torsional or cut center. Tangential tensions in beams coffin with a cell. Deformations due to the transversal effort, reduced cut section, warping of the transversal sections.
Chapter 2 – Torsion Bars of circular section.
Analogy of the membrane, rectangular sections, open sections of thin walls. Tubular bars of thin wall, formulas of Bredt.

Chapter 3 - Combination of N-M-V-T efforts
Diagrams of structures submitted to composed bending and cut with twist. Eccentric compression and composed bending. Central nucleus and tensions analysis. Sections with non resistant material to the traction, outside nucleus plough applied forces but existing in a plan of symmetry of the part. Applications.

Chapter 4 - Tension and deformation status in 2D and 3D ways
Plain tension status. Circle of Mohr. Determination of the principal stresses and its orientation in a beam. State of tension in a 3D way. Equations of definied and undefinied balance. Referencial change. Circle of Mohr 3D. State of deformation in the neighborhood of a point. Concept of homogenius deformation. Decomposition of homogenius deformations. Main extensions. Compatibility equations. Law of generalized Hooke.

Chapter 5 – Instability
Critical loads in perfect parts and imperfect parts. Coefficients j of the R.E.A.E. (Regulation of Steel Structures for Buildings). Beams column. Dangling

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

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
Victor Dias da Silva; Mecânica e Resistência dos Materiais, Ediliber, 1995
J. Mota Freitas; Sebenta de Resistência de Materiais, FEUP, 1978

Complementary Bibliography

Massonnet, Charles; Résistance des matériaux
Luís F. P. Juvandes; Resistência dos Materiais 1+2 - Textos de Apoio – Colecção de Exercícios, publicação disponível na Editorial da Feup
Timoshenko, Stephen P; Resistência dos materiais
Nash, William A.; Resistência dos materiais

Teaching methods and learning activities

Theoretical classes: presentation of subjects with use of media resources, blackboard and transparencies; formulation and problem solving at the end of each theme; consultation of available sheets of support on the web-page contents of SiFeup.
Practical classes: distribution of exercises on every chapter; supervision

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 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
Frequência das aulas	78,00
Total:	138,00

Eligibility for exams

Achieving final classification requires compliance with attendance at the course unit, 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.

Calculation formula of final grade

Assessment with final exam.

The final grade is assigned based on Distributed Evaluation, which consists of 3 tests to be carried out during the classes, and a Final Exam. All assessment components are expressed on a scale of 0 to 20. The total weight of the evaluation will be distributed in the final classification of 25% and the remaining 75% on the final exam.

1. DISTRIBUTED EVALUATION:

2.EXAME FINAL:

3. FINAL GRADE:

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%

Observations

Working time estimated out of classes: 5 hours