Lecturer: Carlo Cinquini   Alessandro Reali  

Course name: Mechanics of Solid and Structures
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: ECTS 12
Course website: n.d.

Specific course objectives

Module A (C. Cinquini)
The general aim of the course is to provide students basic knowledge in continuum mechanics and structural theory. Fundamental laws are focused: equilibrium, compatibility, principal of virtual work, constitutive equations. Some complementary elements are provided.

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

Modulo A (C.Cinquini)
Solid mechanics problems. Stress state. Cauchy tensor. Strain state. Principle of virtual work. Elastic state. Elastic constants. General formulation of the elastic problem. Resistance criteria. Elastic problem solution. Saint-Venant problems. Normal action. Torsion. Pure bending. Shear and bending. Elements of stability theory 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.
5. Potential further topics
Timoshenko deformable beams.

Course entry requirements

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): 90
Practical class (hours/year in lecture theatre): 0
Practicals / Workshops (hours/year in lecture theatre): 0

Suggested reading materials

Lecture notes

Cinquini C. . Lezioni di Scienza delle Costruzioni. Schonenfeld & Ziegler, Milano.

Bucci G., Cinquini C.. Elementi di Teoria della Trave e Soluzioni Strutturali. Schonenfeld & Ziegler, Milano.

Baldacci R. . Scienza delle Costruzioni, vol. I, II.. UTET, Torino.

Capurso M . . Lezioni di Scienza delle Costruzioni. Pitagora Editrice, Bologna.

Corradi Dell’Acqua L. . Meccanica delle Strutture, vol. I, II, III. McGraw-Hill, Milano.

Belluzzi O. . Scienza delle Costruzioni, vol. I, II. Zanichelli, Bologna.

Testing and exams

Module A (C. Cinquini): Oral examination

Module B (A. Reali): Written examination