Risorse bibliografiche
Risorsa bibliografica obbligatoria
Risorsa bibliografica facoltativa
Scheda Riassuntiva
Anno Accademico 2019/2020
Scuola Scuola di Architettura Urbanistica Ingegneria delle Costruzioni
Insegnamento 097430 - STATICS
Docente Milani Gabriele
Cfu 4.00 Tipo insegnamento Monodisciplinare

Corso di Studi Codice Piano di Studio preventivamente approvato Da (compreso) A (escluso) Nome Sezione Insegnamento
Arc - Urb - Cost (1 liv.)(ord. 270) - MI (1094) PROGETTAZIONE DELL'ARCHITETTURAMIEAZZZZ097430 - STATICS

Obiettivi dell'insegnamento

For the first time throughout their academic plan, aspirant architects will deal with structural issues as addressed in this course, which also aims at highlighting the paramount role played by the connection between architectonics and structures in architectural design. To better inspire and justify the structural choices in the design process, this course will help the students in understanding the architectural features of the most common structural typologies, and will introduce them to the static and kinematic analysis of simple structures, verifying the external equilibrium and determining the internal actions.

The theory provided in this course will give the students practical and theoretical insights into the issues addressed in the courses of Architectural Design Studio 2 and Mechanics of Materials and Structures, as well as in the optional courses.

Risultati di apprendimento attesi

At the end of this course, students are expected to:

1) learn and understand the fundamental concepts of equilibrium, with a focus on structural systems consisting of rigid bodies;

2) learn and understand the most common structural typologies, starting from elementary examples such as beams, trilithons, arches, three-hinged arches, and cables;

3) learn and qualitatively understand the relation between structural typologies and construction technologies.

Therefore, at the end of this course students will be able to:

1) identify simple and recurring structural elements (beam, pillar, trilithon, three-hinged arch, isostatic ring, truss beam);

2) determine the loads acting on these elements;

3) determine the degrees of freedom and the degrees of constraint of the structural system, as well as the quality of constraints (lability, isostaticity, redundancy);

4) verify the equilibrium of the structural system; evaluate the internal actions;

5) understand the importance of the connection between architectonics and structures in order to make mindful design choices.

A more in-depth analysis of these topics is provided by the Mechanics of Materials and Structures course and also by optional courses.

Argomenti trattati
  • External loads: vectors in mechanics; forces, couples, concentrated loads, distributed loads, load density; operations with vectors and invariant operations;
  • Structural models: material points, rigid bodies, three-hinged arches, and jointed bodies;
  • The laws of classical mechanics;
  • Equilibrium of material points;
  • 2D rigid translations and rotations;
  • Constraints;
  • Kinematics of rigid bodies;
  • Equilibrium of 2D rigid bodies: determinate, indeterminate and impossible equilibrium conditions; cardinal equations for statics; reaction forces; internal actions; postulates on internal actions;
  • Equilibrium of rigid jointed systems: equilibrium of 2D jointed systems consisting of rigid beams; three-hinged arches and ring beams; partial equations; reaction forces and internal actions.
  • The course will include theoretical lectures and practical classes.


During the educational path the sequence of the courses and the order of registration of the related exam must follow the priority specified in the study programme regulation.

Modalità di valutazione

The reference textbook is listed in the Bibliography section below. The teaching material can be further integrated by the professor who will give timely notice to the students and/or upload it on the online page of the course in the BeeP platform.


Verification procedure


Written test

·          resolution of numerical problems

Oral test

·          theoretical questions on the topics of the course

·          in-depth analysis of the written test solution

·          questions aimed at highlighting the student’s ability to develop links between the various topics of the course


The course includes a written test to be held on one of the exam dates. The written test will consist of one complex or several simpler exercises, which will refer to all the topics addressed in the course; this test will allow the evaluation of strengths and weaknesses shown by each student. The oral test aims at addressing any weaknesses or improving the results of the written test.

In summary, through the solution of targeted exercises, during the exam students will have to prove:

  • To having understood all the topics of the course;
  • To having become familiar with the solution of the proposed problems;
  • To knowing how to explain the concepts learned in the course with an appropriate vocabulary;
  • To being able to independently propose conceptual links between the different topics covered.

Risorsa bibliografica facoltativaFerdinand P. Beer, E. Russell Johnston, John T. Dewolf, David F. Mazurek, Statics and Mechanics of Materials, Editore: McGraw-Hill Higher Education, edition year, Anno edizione: 2011 http://highered.mcgraw-hill.com/sites/0073380156/

Forme didattiche
Tipo Forma Didattica Ore di attività svolte in aula
Ore di studio autonome
Laboratorio Informatico
Laboratorio Sperimentale
Laboratorio Di Progetto
Totale 40:00 60:00

Informazioni in lingua inglese a supporto dell'internazionalizzazione
Insegnamento erogato in lingua Inglese
Disponibilità di materiale didattico/slides in lingua inglese
Disponibilità di libri di testo/bibliografia in lingua inglese
Possibilità di sostenere l'esame in lingua inglese
Disponibilità di supporto didattico in lingua inglese
schedaincarico v. 1.6.1 / 1.6.1
Area Servizi ICT