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Teoria delle Strutture
Theory of Structures
Lando Mentrasti

Seat Ingegneria
A.A. 2015/2016
Credits 6
Hours 48
Period I
Language ENG

Prerequisites
Structural mechanics fundamentals

Learning outcomes
The course illustrates basic principles and applications of the finite element method for linear analysis of structures under static loading. Geometrical e constitutive non linearity are also briefly treated together with dynamical behavior of structures

Program
The course provides the basis for the MATRIX ANALYSIS of linear (elastic) structures. Kinematics and statics of rigid structures: matrix formulation, Principle of the virtual work of the constraint reactions, Theorem of the Virtual Work, duality. Matrix analysis of elastic elements: local stiffness, degree of freedom transformation, internal constraints and releases, global matrix assembly. External constraints, static condensation technique, mixed variable formulation. Conditioning of the solution. Structural matrix topology: band and profile optimization. Hints on the Weak Formulation of the continuum structural problems (physical meaning). FINITE ELEMENT METHOD: energy formulation, discretization, shape functions, inter-element continuity. Morphology: quadrilateral, rectangular, Lagrangean, Serendipity, transition elements, triangular. Stiffness and mass matrices derivation. Geometrical and non-linear behavior are briefly sketched, together with some topics about matrix dynamics of structures. Brief history of matrix analysis of structures. Training in FEM, numerical and symbolic codes.

Development of the examination
LEARNING EVALUATION METHODS
Oral exposition (discussion of possible numerical application, suggested by the student)

LEARNING EVALUATION CRITERIA
Suitability of the argumentation

LEARNING MEASUREMENT CRITERIA
Comparative

FINAL MARK ALLOCATION CRITERIA
Weighted evaluation, with reference to the kind of both questions and answers

Recommended reading
Corradi Dell'Acqua, ”Meccanica delle Strutture” Vol 1 e 2, McGraw-Hill 2010 Fish, Belytschko, ”A first Course in Finite Elements”, Wiley 2007 Luongo, Paolone, ”Meccanica delle Strutture”, Casa Editrice Ambrosiana, 1997

Courses

• Ingegneria Civile (Corso di Laurea Magistrale (DM 270/04))