OVERVIEW

The subject of Statica e Meccanica delle Strutture represents the first educational moment in the field of structural disciplines applied to architecture.

During the course, the fundamental concepts of equilibrium, strength, stiffness and stability of structures are provided, necessary for the understanding of the basic aspects of structural design.

AIMS AND CONTENT

LEARNING OUTCOMES

By introducing the student to the analysis of structures in architecture, the subject of Statica e Meccanica delle Strutture has the following educational objectives:

- the first objective is the development of the ability to model isostatic systems and to determine their equilibrium and internal stress conditions in accordance with the principles of the statics of rigid bodies.

- the second objective is the acquisition of methodologies for describing the behaviour of isostatic and hyperstatic elastic systems, including methods for checking strength, deformability and stability in relation to the materials used.

AIMS AND LEARNING OUTCOMES

In relation to the pursuit of the aforementioned training objectives, at the end of the subject, the student will be able to:

- Define the constraint conditions for a structural system to be labile, isostatic or hyperstatic;

- Apply the principles of rigid body statics for the calculation of constraint reactions in statically determined plane frameworks;

- Quantify the internal stress state and represent it graphically;

- Determine the geometric properties of plane surfaces (centre of gravity, first and second moment of area) required for strength and deformability assessments or the cross-sectional design of structural elements subject to normal force and bending moment;

- Describe quantitatively the state of displacement in simple elastic beams concerning the constraint and load conditions;

- Resolve statically indeterminate plane frameworks using the methods for the elastic analysis of hyperstatic systems;

- Carry out stability assessment for slender beams loaded at the tip.

TEACHING METHODS

The subject is conducted through theoretical lectures and practical exercises, during which significant structural examples from built architecture are recalled, scale models are used to qualitatively simulate the behaviour of real structures, and experimental investigations are conducted to quantitatively describe the response of mechanical systems.

Students who have a valid certification of physical or learning disabilities on file with the University and who wish to discuss possible accommodations or other circumstances regarding lectures, coursework and exams, should speak both with the Professor and with the Department of Architecture and Design's disability referent (https://architettura.unige.it/commissioni_e_referenti_dipartimento).

SYLLABUS/CONTENT

. The first part is dedicated to the study of the equilibrium of rigid systems and consists of the following topics:

(a) definition of the concepts of force vector and momentum vector and presentation of the fundamental operations of composition and decomposition of these vectors;

b) definition of the degrees of freedom of the point and rigid body immersed in a 3D or 2D space;

c) presentation of bilateral smooth constraints and analysis of the equilibrium of the point and the constrained rigid body through the application of the principles of statics (Equilibrium Equations and Principle of Virtual Works);

d) introduction of the one-dimensional beam model, description of the types of load and definition of the concept of internal action in terms of stress resultants;

(e) presentation of the types of plane isostatic frames (open and closed, without and with disconnections) and development of techniques for the study of their equilibrium and internal stress conditions

f) presentation of unilateral rough constraints and analysis of the equilibrium of structural systems with unilateral behaviour (cables, masonry arches).

The second part is dedicated to the study of the strength, deformability and stability of the beam as an elastic system and is divided into the following points:

(a) introduction to the experimental study of the deformation response of materials (ductile behaviour and brittle behaviour);

b) study of the straight beam subjected only to normal force: description of the deformation state of the axis line (linear strain), deduction of the kinematic compatibility and constitutive equations and formulation of the corresponding elastic problem for the analysis of isostatic and hyperstatic beams, determination of the internal stresses on the cross-section for the verification of material strength or for the design of the minimum cross-sectional area; calculation of the tensile collapse load for beams made of material with elastic-perfectly plastic behaviour

c) Study of the straight beam subject to bending moment: definition of the geometrical characteristics of the cross-sections (centre of gravity, first and second moment of area), description of the state of deformation of the axis line (bending curvature), deduction of the kinematic compatibility and constitutive equations and formulation of the corresponding elastic problem for the analysis of isostatic and hyperstatic beams, determination of the internal stresses on the cross-section and performance of the bending strength checks for the verification of material strength or for the design of the minimum moment of inertia; calculation of the bending collapse load for beams made of material with elastic-perfectly plastic behaviour;

d) study of the straight beam subjected to the combination of normal force and bending moment (principle of superposition of effects), including the case of non-tensile resistant material useful for the analysis of masonry columns;

e) study of the buckling of rectilinear beams: definition of stable, unstable and indifferent equilibrium, determination of the Euler critical load, introduction of the concept of slenderness and verification of stability.

RECOMMENDED READING/BIBLIOGRAPHY

Foce F., Dispensa di cinematica e statica dei sistemi rigidi (scaricabile da Aulaweb)

Foce F., Dispensa di meccanica dei sistemi elastici (scaricabile da Aulaweb)

Belluzzi O., Scienza delle Costruzioni, vol. 1, Zanichelli, Bologna (vari anni di edizione).

Benvenuto E., La Scienza delle Costruzioni e il suo sviluppo storico, Sansoni, Firenze 1981; Roma 2006 (ristampa)

Pizzetti G., Zorgno Trisciuoglio A.M., Principi statici e forme strutturali, UTET, Torino 1980.

TEACHERS AND EXAM BOARD

Exam Board

FEDERICO FOCE (President)

ANDREA BACIGALUPO

LESSONS

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

The examination consists of a written test and a subsequent oral test, both of which are compulsory.

The tests for "current" students take place during the suspension of classes. For "out of course" students, two written and oral examinations are reserved in addition to the previous examinations.

The written test is valid within the appeal in which it was passed. For reasons of propaedeuticity, the oral examination may only be taken after passing the Matematica 1 examination.

For students attending lectures, there are also two partial written examinations taking place at the end of each semester. Students who pass both partial examinations with a score of at least 18/30 may take the oral examination by the September call, after which the validity of the examinations expires.

Students who score less than 18/30 in one partial test and who pass the other test with at least 18/30 may make up the insufficient test, once and only once, at the second general written test of the summer session.

ASSESSMENT METHODS

The learning assessment covers the contents of the lecture and consists of a written test and a subsequent oral test.

The written test verifies the acquisition of knowledge relating to the analysis of equilibrium, strength, deformability and stability through the solving of application problems that simulate real situations in the design of structures.

The oral examination verifies the learning of the fundamentals of statics and mechanics of structures both through the performance of theoretical demonstrations and the critical discussion of practical examples.