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Structural Mechanics

2010-11 Academic year

Lecturer: Ferdinando Auricchio   Fabio Casciati  

Course name: Structural Mechanics
Course code: 500847
Degree course: Ingegneria Civile e Ambientale
Disciplinary field of science: ICAR/08
L'insegnamento è caratterizzante per: Ingegneria Civile e Ambientale
University credits: CFU 12
Course website: n.d.

Specific course objectives


Module A (F. Casciati)

Introducing the structural design

Module B (A. Reali)

The goal of this module of the course is to provide the students with the basic and general ideas to tackle complex structural systems. The two fundamental steps are a first phase of construction of the system model (with a particular focus on beam models) and a second more practical phase aiming at the determination of the static equilibrium, as well as of the stress and strain state.

Course programme

A
Elements of structural design

Continuous Mechanics and Material Theory
Stress - Strain Material theory - Strength of Materials - Yielding and rupture criteria. Theory of elasticity - Energy theorems - De Saint Venant problem - Numerical methods. Elements of stability theory, structural dynamics and limit analysis.


Module B (A. Reali)

1. Rigid body systems
Introduction, definitions and static equilibrium equations. Constraints. Kinematic analysis. Static analysis. Geometric and static determination. Static indetermination and mechanisms. Analytical and graphical solution methods. Computation of reaction forces. Modeling of complex structural systems and their reduction to simple statically determined schemes.
2. Stress state analysis
Truss systems. Beams. Generalized stress diagrams for beams and frames.
3. Statically indeterminate systems
Bernoulli-Euler deformable beams. Methods for the determination of the stress and deformation states. Continuous beams. Use of Mohr's analogy for the deformation and reaction force determination.
4. Multiply statically indeterminate systems
Displacement approach. Matrix form of the problem. Introduction to the numerical solution of structures.
5. Potential further topics
Timoshenko deformable beams.

Course entry requirements


Module A (F. Casciati)

As stated by the School

Module B (A. Reali)

This module of the course requires the knowledge of the topics of Analisi Matematica A (Calculus A), Fisica Matematica (Rational Mechanics) and Geometria and Algebra (Linear Algebra). Moreover, basic notions from the course of Fondamenti di Informatica (Basics of Informatics) are useful.

Course structure and teaching

Lectures (hours/year in lecture theatre): 78
Practical class (hours/year in lecture theatre): 20
Practicals / Workshops (hours/year in lecture theatre): 8

Suggested reading materials


Module A (F. Casciati)

Lecture notes to be downloaded from a web site.

Module B (A. Reali)

- Lecture notes;
- L. Corradi Dell'Acqua, Meccanica della Strutture (vol. II.), McGraw–Hill, Milano

Testing and exams

Oral exam

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