B005315 - MECHANICS OF SOLIDS AND STRUCTURES

italian

Italian

Italian

The course provides the tools to face structural problems. At the end of the course the student will be able to:
-choose the most suitable physical-mathematical model to predict the mechanical behavior of structures
-analyze statically indeterminate structures under mechanical and thermal actions
-verify the strength of structural elements in simple structures
-justify their choice/design, discuss the analysis method and interpret the results.
Modal analysis of n dof is included.

Theory of structures
Differential equation of beams for axial, flexural strain. Force and sisplacement methods.
Stress and Strain,
properties of stress and infinitesimal strain tensors,
constitutive equations, elastic equilibrium problem and resistance criteria (rough idea)
De Saint Venant problem
Axial force, pure bending, eccentric axial force, torsion, shear.
Elastic stability
Euler’s formula, “omega” method.

Claudia Comi, Leone Corradi Dell'Acqua: Introduzione alla Meccanica Strutturale 3a ediz., McGraw-Hill.
Salvatore Di Pasquale : Scienza delle Costruzioni - Introduzione alla progettazione strutturale, Tamburini ed.
Stephan Timoshenko: Scienza delle Costruzioni, vol. 1, Viglongo.
Odone Belluzzi: Scienza delle Costruzioni, vol. 1, Zanichelli.

C.Comi, L. Corradi Dell’Acqua: Introduzione alla meccanica strutturale, McGraw- Hill. Milano.

L. Gambarotta, L. Nunziante, A. Tralli, Scienza delle costruzioni, McGraw-Hill, Milano, 2003.
O. Belluzzi, Scienza delle Costruzioni, Vol. I, Zanichelli editore, Bologna, 1996.

Structural analysis methods aimed to structural design.

The course's goal is to provide the necessary tools for solving simply structural problems.

The course's goal is to provide the necessary tools for solving simply structural problems . Such a objective is reached by means of the study of fundamental of solid mechanics (stress, strain, stress-strain relationship) and its application to structural problems.

Successful examination at STATICA (Statics)

Knowledge of mechanics and mathematics learned in previous courses of “Statica” and “Istituzioni di matematiche”

Knowledge of mechanics and mathematics learned in previous courses of “Statica” and “Istituzioni di matematiche”

Lessons, exercises in the classroom

Lessons and practice exercises

Lessons and practice exercises

Students will be obliged to enroll via moodle (e-l.unifi.it) according to the procedures given by the teacher during the first lesson (see the course calendar 2017-18).

quiz via moodle, individual oral examination

Student insight about structural behaviour of simply structures are tested by means of a written and oral exam.

Student insight about structural behaviour of simply structures are tested by means of a written and oral exam.
Moreover, some intermediate examination will be conducted with the aim to verify/encourage all students fruitful partecipation.

[1]
The goal is the working out of mathematical models of structures and the critical evaluation of results, for their use in the structural design.

[2]
Truss structures, use of software, graphical output, dxf import, limit state of tensile elements.

[3]
Nonlinear trusses: snap through, stable and unstable equilibrium.

[4]
Differential equations of beams: eta (deflections), eta', eta", M, T. ; use of a spreadsheet: diagrTM.ods.
Navier: Mx, My, N. Limit state of a bended beam, Wpl.

[5]
Euler instability of columns.

[6]
Shear: Jourawski theory.
Limit state of beams for shearing stresses.

[7]
Torsion: cylindrical beam, Bredt; membrane and hydrodynamic analogies.

[8]
Principal stresses. Spreadsheet: sigmatau.ods
Eigenvalues and eigenvectors for symmetric nxn matrices.

[9]
Safe state of (pricipal) stress: Tresca , Von Mises.

[10]
Dynamic equations of n-degrees of freedom structures: modal analysis.