Structural Mechanics II

Code:

EM0033

Acronym:

ME II

Keywords
Classification	Keyword
OFICIAL	Applied Mechanics

Instance: 2006/2007 - 1S

Active?	Yes
Web Page:	http://www.fe.up.pt/~cmoliv/ME2/
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
LEM	11	Plano de estudos de transição para 2006/07	4	6	6	70	160
MIEM	59	Plano de estudos de transição para 2006/07	3	-	6	70	160

Teaching language

Portuguese

Objectives

Introduction to the finite element method (displacement formulation) applied to the linear elastic analysis of 1D, 2D and 3D structures.

Program

Displacement method: Fundamentals. Energy methods. Virtual work principle. Flexibility and stiffness matrices. Stiffness matrix of a beam, in local and global axis. Stiffness matrix for a structure, as the assembly of element stiffness matrices. Element load vector. Load vector for the structure as the assembly of element load vectors. Boundary conditions. Reactions. Post processing. Element resultants. The finite element method: Fundamentals. Discrete and continuous problems. Linear-elastic bidimensional analysis, using the finite element method. Equilibrium of a 2D domain. Decomposition in 3 node triangular elements. Displacement field. Stress field. Nodal forces. Equilibrium of a finite element. Equilibrium of the whole domain. Interpolation using shape functions. Deformation matrix [B]. Elasticity matrix [D]. Stress matrix [K]. Load vector {F}. Higher order elements formulation. Standard and hierarquical shape functions. Lagrangean shape functions for 1D, 2D and 3D elements. Serendipity shape functions. Coordinate transformations. Parametric and non-parametric transformations. Isoparametric elements. Error analysis. Gauss numerical integration.

Mandatory literature

Carlos Magalhães Oliveira; Introdução ao Método dos Elementos Finitos
Carlos Magalhães Oliveira; Análise Matricial de Estruturas
Carlos Magalhães Oliveira; Introdução ao Método dos Elementos Finitos
Carlos Magalhães Oliveira; Análise Matricial de Estruturas

Complementary Bibliography

O. C.- Zienckiewicz + R. L. Taylor; The Finite Element Method
Young W. Kwon + Hyochoong Bang; The Finite Element Method using MATLAB
Bathe, Klaus-Jurgen; Finite element procedures. ISBN: 0-13-301458-4
O. C.- Zienckiewicz + R. L. Taylor; The Finite Element Method
Young W. Kwon + Hyochoong Bang; The Finite Element Method using MATLAB
Bathe, Klaus-Jurgen; Finite element procedures. ISBN: 0-13-301458-4

Teaching methods and learning activities

2 theoretical classes / week, lasting 1h (in an amphitheater), for all students + 1 practical class/week, lasting 2h (in a computer room), for groups of 24 students.

Evaluation Type

Distributed evaluation with final exam

Assessment Components

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

Eligibility for exams

Enrolment + number of absents < 25% of the practical classes planned + 2 mini-tests + 1 practical assignment.
In theoretical classes, there will be made small “test-questions and distributed small homework, which classification will be counted POSITIVELY for the average mark, with a total weight of 10%.

Calculation formula of final grade

Calculated Average Grade (70% of the final exam + 10% in each mini-test + 10% of the practical assignment). FOR CLASSIFICATIONS SUPERIOR TO 16 MARKS, THERE WILL BE AN ORAL TEST, being the final classification equal to the arithmetic average mark of this test and the calculated average mark previously calculated.

Examinations or Special Assignments

1 practical assignment done until one week after the exam, which corresponds to a total weight of 30% of the final classification.

Special assessment (TE, DA, ...)

Exam, without consultation, done on the computer + 1 practical assignment done until 1 week after the exam, corresponding to 30% of the final classification.

Classification improvement

Exam, without consultation, done on the computer + 1 practical assignment done until 1 week after the exam, corresponding to 30% of the final classification.

Observations

It is advised that the students have previous attendance to the courses Solids Mechanics and Structures Mechanics I.

Language of instruction: Portuguese