Structural Mechanics I

Code:

EM0028

Acronym:

ME I

Keywords
Classification	Keyword
OFICIAL	Applied Mechanics

Instance: 2011/2012 - 1S

Active?	Yes
Responsible unit:	Applied Mechanics Section
Course/CS Responsible:	Master in Mechanical Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MIEM	347	Syllabus since 2006/2007	3	-	6	70	160

Teaching language

Portuguese

Objectives

Aims:
Analysis and dimensioning of parts and structures.

Learning Outcomes:
By the end of the semester, students should:
1. be able to design force diagrams in simple isostatic structures
2. be able to select the most adequate force criteria depending on the material.
3. be acquainted with Regulamento de Segurança e Acções (RSA) (Portuguese regulation for safety and actions) and with Regulamento de Estruturas de Aço para Edifícios (REAPE) (Portuguese regulation for steel structures of buildings)
4. be able to adapt linear pieces to different situations
5. know how to handle stability problems in columns and beams
6. be able to use energy theorems to structural analysis in particular the unit load theorem and sag calculation.
7. be able to use the force method in order to analyse hiperstatic structures (to calculate flexibility coefficients using the unit load theorem and Bonfim Barreiros’ method)
8. be able to use the plastic calculation in order to calculate beam dimensioning

Program

1. Force diagrams: beams, multiple beams, plane articulated structures, framed isostatic structures, mixed structures.

2. Force criteria, equivalent stress. Ultimate limit states and serviceability limit states. Quantification and combination of actions according to Regulamento de Segurança e Acções (RSA) (Portuguese regulation for safety and actions).


3. Piece and isostatic structures dimensioning. Linear pieces dimensioning: simple flexion, combined flexion (flexion and normal force; flexion, normal force and sheer force and torsion);

4. Stability problems regarding columns and beams. Buckling - Euler’s problem, critical load. Eccentric loading of columns. Pieces under compression. Lateral instability. Return period dimensioning. Dimensioning according to Regulamento de Estruturas de Aço para Edifícios (REAPE) (Portuguese regulation for steel structures of buildings)

5. Energy theorems- deformation energy, virtual work theorem. Principle of minimum potential energy. Principle of complementary virtual work. Unit load method, Bonfim Barreiro’s method. Betti’s or Maxwell Betti’s theorem. Castigliano’s theorem and Engessere’s theorem.

6. Force method. Coefficient of flexibility, canonical equation, symmetry simplification.

7. Elastoplastic analysis. Beam calculation: static method, kinematic method. Calculation of cross beams.

Mandatory literature

Carlos Reis Gomes; Mecânica das Estruturas, 2010

Complementary Bibliography

Beer, Ferdinand P.; Resistência dos materiais. ISBN: 85-346-0344-8
A. Ghaly and A. M. Neville; Structural Analysis , Chapman & Hall

Teaching methods and learning activities

Theoretical presentation of themes.
Practical sessions, where students can solve problems and discuss problems (1,5h + 1 h)

keywords

Technological sciences > Engineering > Civil engineering > Structural engineering

Evaluation Type

Distributed evaluation with final exam

Eligibility for exams

According to General Evaluation Rules of FEUP

Calculation formula of final grade

Students must attend an exam. Students who reach a higher mark than 16 (out of 20) will have to attend an oral exam.