STATICA

The primary goal of the course of Statics is to give students an understanding of the basic elements of the Mechanics of Structures.

As can be seen from the summary of key topics reported below, the first part of the course will be dedicated to the basic knowledge and tools of the Statics, concerning the force systems, the equilibrium and the statics and kinematics of the rigid body. A second part will be dedicated to the analysis of the equilibrium of different kind of plane structures, such as beams, frames, trusses and arches. Namely, the students will be shown how to extend and apply the basic tools of the first part to the study of plane structures, with regard to their classification in terms of static and kinematic determinacy, their equilibrium by the determination of the restraints (external support or external links) and constraints (internal links) reactions, and by the determination of the internal force diagrams (Axial force, Shear and Bending Moment).

A third part of the course will concern the Geometry of Masses. The main topics, such as centroid, first and second moment of area, ellipse of inertia and kern of a general cross section, will play a key role in the future study regarding the determination of the stress and strain tensor fields for the De Saint-Venant beam.

Through the previous courses of Physics and Mathematics, the students are to have acquired the basic tools of Algebra and Analysis and the numerical and vector computation. Some topics, such as vector calculations, already covered in the course of Physics, are presented under a new light.

1. Vector calculation and graphical statics
2. Cardinal equations of statics and dynamics
3. Static and kinematic of the restrained rigid body
4. Analysis of plane isostatic structures (beams, frames, trusses) and masonry arches
5. Geometry of Masses

1) E. Viola. Esercitazioni di scienza delle costruzioni – vol.1: strutture isostatiche e geometria delle masse. Pitagora, 1977.

2) G. Muscolino, G. Falsone. Introduzione alla scienza delle costruzioni. Statica e cinematica delle travi.

Pitagora, 1991.

3) A. Greco, Scienza delle Costruzioni, Aracne Editrice, 2012

4) A. Taliercio. Meccanica dei sistemi di travi, Editore: Esculapio (Progetto Leonardo), 2005.

5) C. Comi, L. Corradi Dell’Acqua. Introduzione alla meccanica strutturale. McGraw Hill, 2003.

6) L. Gambarotta, L. Nunziante, A. Tralli. Scienza delle costruzioni. McGraw-Hill, 2003.

7) F. P. Beer, E. R. Johnston, Scienza delle Costruzioni, Introduzione alla meccanica dei materiali,

Ed. McGraw-Hill, Milano, 1997.

8) G. Ceradini, Scienza delle Costruzioni – vol. I: Cinematica e Statica dei Sistemi rigidi, Ed. ESA, Roma,

9) O. Belluzzi. Scienza delle costruzioni – vol.1. Zanichelli, 1982.

10) S. Di Pasquale. Scienza delle costruzioni. Introduzione alla progettazione strutturale. Tamburini, 1975.

11) S. Di Pasquale, C. Messina, L. Paolini, B. Furiozzi - Nuovo Corso di Costruzioni- Vol. 1, 2. Le Monnier 2009.

12) Sollazzo, U. Ricciuti, Scienza delle Costruzioni – vol. I: Statica dei sistemi rigidi, Ed. UTET, Torino, 1983.

13) Carlo Amerio, Umberto Alasia, Corso di Progettazione Costruzioni Impianti, II edizione, vol. 1 SEI 2016

Textbooks in English:

14) S. Timoshenko, D. H. Young, Engineering mechanics: statics, Vol. 1, McGraw-Hill Book Company, Inc., 1937

15) Sheri D. Sheppard, Benson H. Tongue, Statics: Analysis and Design of Systems in Equilibrium, John Wiley & Sons Inc, 2006

16) R. C. Hibbeler, Engineering Mechanics: Statics (14th Edition), Pearson, 2015

17) James L. Meriam, L. G. Kraige, Jeffrey N. Bolton, Engineering Mechanics: Statics, 8th Edition, Wiley, 2014

18) Ferdinand P. Beer,‎ E. Russell Johnston Jr.,‎ David Mazurek, Vector Mechanics for Engineers: Statics, 11th Edition, McGraw-Hill Education, 2015