Strength of Materials II

Code:

EC0019

Acronym:

RMAT2

Keywords
Classification	Keyword
OFICIAL	Materials

Instance: 2006/2007 - 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
LEC	5	Plano de estudos de transição para 2006/07	2	8	8	90	214
MIEC	420	Syllabus since 2006/2007	2	-	8	90	214
		Plano de estudos de transição para 2006/07	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 combinations. Study of the tension state and deformation in a point (2D and 3D). Study of the instability of compressed bars.

Program

Chapter 1 - Bending: Hiperestatics structures
Hiperestatics problems, of degree 1, with bended bars. Diferencial equation of the elastic; its integration. Method of the fictitious unit of load or of Maxwell - Mohr.

Chapter 2 - 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 3 – 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 4 - 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 5 - 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 6 – 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

Mandatory literature

Luís F. P. Juvandes; Resistência de Materiais 2 – Aulas Teóricas – Ano Lectivo 2004/2005 , Editorial da Feup
Beer, Ferdinand P; Mecânica dos materiais. ISBN: 972-773-145-7
Victor Dias da Silva; Mecânica e Resistência dos Materiais, Ediliber, 1995
J. Mota Freitas; Sebenta de Resistência de Materiais, FEUP, 1978

Complementary Bibliography

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

Teaching methods and learning activities

Theoretical lessons: exposition of the subjects with use of media resources, of the picture and acetates; formulation and resolution of type-problems in the end of each subject; consultation of available sheets of support on the web-page contents of the SiFeup.
Practical lessons: distribution of sheets with problems considered for resolution, chapter to chapter; support of the Assistant to the pupils, individually, through the resolution; in the case of a generalized difficulty, explanation of the Assistant to the group in order to that difficulty can be exceeded.

keywords

Technological sciences > Engineering > Civil engineering > Structural engineering

Evaluation Type

Evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Subject Classes	Participação presencial	84,00
	Total:	-	0,00

Observations

............................................................
Working time estimated out of classes: 5 hours