Numerical sets (N, Z, Q and R), axiomatic construction of R, construction of N and principle of induction, complex numbers; elements of topology in R and Bolzano-Weierstrass theorem; real functions of real variable, limits of functions and their properties, limits of sequences, notable limits, the Napier number; continuous functions and their properties; derivative of functions and their properties, the fundamental theorems of differential calculus (Fermat, Rolle, Cauchy, Lagrange, de l'Hopital, Taylor's formula), convex / concave functions; function graph; Riemann integration and properties, integrability of continuous functions, fundamental theorem of integral calculus, integration by substitution and by parts, integration rules; numerical series, simple and absolute convergence, convergence criteria for series with positive terms and for series with any terms; Taylor series; improper integrals.

Analisi matematica I Marcellini-Sbordone
Analisi matematica I Pagani-Salsa
Esercitazioni di Matematica Marcellini-Sbordone

Numerical sets (N, Z, Q and R), axiomatic construction of R, construction of N and principle of induction, complex numbers; elements of topology in R and Bolzano-Weierstrass theorem; real functions of real variable, limits of functions and their properties, limits of sequences, notable limits, the Napier number; continuous functions and their properties; derivative of functions and their properties, the fundamental theorems of differential calculus (Fermat, Rolle, Cauchy, Lagrange, de l'Hopital, Taylor's formula), convex / concave functions; function graph; Riemann integration and properties, integrability of continuous functions, fundamental theorem of integral calculus, integration by substitution and by parts, integration rules; numerical series, simple and absolute convergence, convergence criteria for series with positive terms and for series with any terms; Taylor series; improper integrals.

Analisi matematica I Marcellini-Sbordone
Analisi matematica I Pagani-Salsa
Esercitazioni di Matematica Marcellini-Sbordone

1. Linear systems: matrix associated to a linear system; the sum of matrices and multiplication by real numbers; reduced matrices; Gauss-Jordan algorithm.
2. Rows by columns product of matrices; invertible matrices; the rank of a matrix; Rouché-Capelli Theorem.
3. Geometrical vectors. Vector spaces. Subspaces. Generating vectors and linearly independent vectors.
4. Basis of a vector space: the dimension of a vector space; Grassmann's formula.
5. Linear applications: Kernel and image of a linear application. Dimension of Kernel and Image of a linear application.
6. Matrix associated to a linear application. Diagonalization of linear operators.
7. Symmetric bilinear forms. Lengths, angles, orthogonality. Orthogonal and orthonormal bases. Gram-Schmidt algorithm.
8. Quadratic forms. Spectral Theorem. Diagonalization and classification of quadratic forms in a Euclidean space. Sylvester bases and Sylvester canonical form. Vector product in a Euclidean space of dimension three.
Analytic geometry in the plane and in space. Cartesian and parametric equations of linear spaces. Proper and improper sheaves of lines and planes. Determination of reciprocal position of linear varieties from their equations. Conics and quadrics.

Flamini-Verra "Matrici e vettori" Carocci ed.

Basic concepts:
- Problems and algorithms
- Computer architecture
- languages and compilation
- I/O, variables, constants

Operations:
- Data types
- Expressions
- Boolean algebra

Control structures:
- Selection
- Iteration
- Functions

Data structures:
- Array
- Struct

Concetti avanzati:
- Libraries

A. Bellini, A. Guidi, "Linguaggio C. Una guida alla programmazione con elementi di Python", VI Edizione, McGraw-Hill.

* Basic concepts *

Problems and algorithms

Computer architecture

Languages and Compilation

I / O, variables and constants



* Operations *

Types of data

Expressions

Boolean algebra



* Control structures *

Selection

Iteration

Functions



* Data structures *

Array

Strings

Matrices



* Advanced concepts *

Integrated development environments

Libraries

File



The course uses the C and Python programming languages.

A. Bellini, A. Guidi, "Linguaggio C. Una guida alla programmazione con elementi di Python", VI Edizione, McGraw-Hill.

Atom Structure: orbitals, poly-electron atoms, periodic table; covalent bond, delocalized bond.
Mass relationship in chemical reactions; redox and oxidation number.
Solids: metallic crystal, ionic crystal, molecular crystal, covalent crystal.
Gases: the ideal gas law, partial pressures.
Thermodynamics: nature and type of energy, the zero law of T.D., heat capacity, the first law of TD and Enthalphy, the second law of TD, entropy and free energy, equilibrium conditions.
Liquids: phase change, phase diagrams.
Chemical equilibrium: the equilibrium constant and the equilibrium law
Properties of liquid solutions: concentration units, the Raoult law and distillation, colligatives properties and freezing diagram, electrolytes.
Solutions of strong and weak electrolytes. Acids and bases, pH; Salt hydrolysis; buffer solutions.
Elettrochemistry

Tro, CHEMISTRY. A Molecular Approach, Pearson ED. or any general chemistry text, as long as it is of university level.

Introduction to the course, scientific method and physical quantities. Space and time.


Introduction to kinematics: Position and time law of a material point. Degrees of freedom of a mechanical system.


Scalars and vectors: Position vector and vector spaces. Cartesian components and polar components. Applied vectors and free vectors. Product of scalar and vector and sum of vectors. Difference between vectors. Vectors under rotation of the Cartesian reference system. Dot product and vector product of vectors. Vector product and mixed product of vectors.

Kinematics: time law and trajectory of the motion of a material point. Displacement vector and mean velocity vector. General rectilinear motions, speed, link between time law and instantaneous speed. Uniform rectilinear motion. Average and instantaneous acceleration and link with the time law.


Uniformly accelerated motion in a straight line. Vertical motion of a grave. Simple harmonic motion.

Introduction to ordinary differential equations: direct first order differential equations and with separable variables. Linear ordinary differential equations: general properties. Solutions for first and second order linear equations.


Rectilinear motion exponentially damped and with acceleration as a function of position. Relative rectilinear motions. Instantaneous velocity vector in space motions.

Curvilinear coordinate and polar components of the velocity vector in space and in the plane. Instantaneous acceleration vector and its Cartesian and intrinsic decompositions.

Intrinsic representation of instantaneous acceleration and its relationship with the Cartesian representation. Osculatory circle and curvature of a trajectory in the plane.

Uniform circular motion. Non-uniform circular motions. Case of angular acceleration as a function of angle. Harmonic circular motion.

Parabolic motion of a body with different initial conditions. Acceleration in intrinsic representation and radius of curvature in the parabolic motion of a body.

Introduction to dynamics and first principle. Introduction to the concept of force. Second Principle of dynamics: the different formulations, the meaning and the law of motion. Third law of dynamics.


Impulse theorem and mean force in a time interval.

Resultant of multiple forces.

Static equilibrium for a material point. Weight force. Binding reactions.

Fundamental forces of nature.


Weight force near the earth's surface and universal gravitational force. Link between inertial mass and gravitational mass.

Constraining forces due to the weight force in systems accelerated with respect to the Earth (problem of the lift in the fall or in ascent). Weight kilogram and exercises on reaction forces in accelerated systems.

Static and dynamic sliding friction with exercises.


Inclined plane with and without friction. Inclined plane and motion of bodies.

Elastic force, ideal springs and harmonic motion.


Viscous friction and motion of a body in a viscous liquid. Fall of a body into the atmosphere.

Force decomposition into tangential and centripetal components with respect to the trajectory.

Frictionless motion on banked curve. Motion with static friction on a flat curve.

Conical pendulum. Simple pendulum and small swing method. Large oscillations and relationship between angular velocity and angle in the simple pendulum.

Ideal wires, pins and pulleys: wire tension and constraint reaction.


Work of a force on a material point moving along a trajectory. Additivity of work and work of the resultant force. Live force theorem and kinetic energy. Particular case of the weight force and introduction of the relative potential energy.

Conservative forces: equivalent definitions. Conservative forces and potential energy. Case of elastic force and in general for position-dependent one-dimensional forces. Conservativity and differential nature of elementary work.

Conservative forces and gradient forces. Meaning of gradient of a function. Local condition of conservation of a force. Conservative forces and zero rotor.

Oscillations from conservative forces: the circular hole and the parallel with the simple pendulum.


Small oscillation method for conservative forces in one dimension.

Moment of a vector and angular momentum of a material point. Moment of force and angular momentum theorem. Angular momentum and momentum theorems for impulsive forces.


Damped harmonic oscillator and application of the theorems of work and mechanical energy. Generalized conservation of energy theorem. Damped harmonic oscillator - forced.

Galilean relativity principle and Galileo's transformations. Non inertial reference frames and apparent forces: case of generic translational motion with respect to an inertial frame.

Non-inertial reference frames: general case of roto-translational motion with respect to an inertial frame. Coriolis force and examples.

Introduction to system dynamics: internal forces and external forces.

First cardinal equation of systems and theorem of conservation of total momentum. Center of mass: position, speed and acceleration. Law of composition of centers of mass.

Second cardinal equation of systems and conservation theorem of the total angular momentum of the system. Pole dependence of the moment of forces.


Reference system of the center of mass of the system. Koenig's first theorem on angular momentum. Koenig's second theorem on kinetic energy.

Kinetic energy theorem for systems. Conservation theorem of mechanical energy and generalized conservation theorem for systems.


Resulting moment of a system of forces applied to different points. Pair of forces and systems of equivalent forces. Systems of parallel forces and the case of the weight force.

Rigid bodies. Local mass density and average density. Center of mass of a rigid body. Parallel forces and gravitational force for a rigid body.

General motion of the rigid body. Purely translational motion. Rotational motion around a fixed axis. Axial moment of inertia and additive properties. Huygens-Steiner theorem.

Calculation of some moments of inertia. Compound pendulum. Conservation laws in rigid bodies. Static equilibrium of rigid bodies.

Binary collisions. Impulsive forces. Completely inelastic collisions and examples. Ballistic pendulum. Linear and in-plane elastic collisions.

Universal gravitation: (i) Kepler's laws and derivation of the gravitational force; (ii) gravitational force and weight force. Physical meaning of Kepler's laws. Gravitational potential energy. Escape velocity.


Introduction to thermodynamics: thermodynamic equilibrium states and systems. State variables. Temperature and thermometry.

Ideal gases and state law. Kinetic theory of ideal gases. Interpretation of thermal equilibrium in the light of kinetic theory.

Definition and measurement of a heat exchange in one-phase systems and in the coexistence of two phases (phase transition). Latent heat of fusion and evaporation. Thermal capacity and specific heat.


Joule's experiment on heat as a form of energy. Work and heat in thermodynamics and their kinetic interpretation.

First law of thermodynamics and its infinitesimal form for reversible transformations.

Specific heats at constant pressure and volume. Applications to ideal gases and Meyer's relation.

Joule's experiment on the free expansion of ideal gases and internal energy.


Reversible adiabatic transformations for ideal gases.

Cyclic thermal machines. Carnot machine and cycle.

Second law of thermodynamics and equivalence between the statements of Kelvin and Clausius. Carnot's theorem. Generalization to cyclic heat machines with more than two heat sources.

Entropy, integral and Clausius theorem.

- Elementi di Fisica - Meccanica e Termodinamica, Paolo Mazzoldi, Massimo Nigro, Cesare Voci - Libro Edises 2022
- Fisica - Meccanica e termodinamica- con esempi ed esercizi, Corrado Mencuccini e Vittorio Silvestrini, Casa Editrice Ambrosiana

Part 1. Business economics
1.1. Business economics and business behavior; scientific and historical perspectives.
1.2. The business as a coordinated and purposeful system: wealth, management and organization.
1.3. The function of business in the context of human needs.
1.4. Classification of businesses: firms and other establishments.

Part 2. Business accounting
2.1. Income and wealth: nature and measurement.
2.2. The financial statements.
2.3. Costs and returns; efficiency and economic value.

Part 3. Business management
3.1. Legal subject and economic subject: the legal framework that applies to a business
3.2. Governance: actors, structures and processes
3.3. Providers of capital and their interests; the financial structure of a business
3.4. Definitions, structures, classifications of groups

Part 4. Business and society
4.1. Agency theory
4.2. Stakeholder theory
4.3. New ways of thinking

Gianfranco Zanda (2015) Fondamenti di economia aziendale. Torino: Giappichelli
Mauro Paoloni & Paola Paoloni (2021) Introduzione ed orientamento allo studio delle aziende (2nd ed.). Torino: Giappichelli

Taylor series and Fourier series. Ordinary differential equations: existence and local uniqueness; homogeneous and non-homogeneous linear ordinary differential equations.
Functions of several variables; continuity; partial derivatives; local maxima and minima, Hessian matrix. Lagrange multipliers. Integration according to Riemann;
multiple integrals. Curvilinear curves and integrals; surfaces and surface integrals. Divergence theorem and curl theorem.

[BDG] Michiel Bertsch, Roberta Dal Passo, Lorenzo Giacomelli, Analisi matematica, McGraw Hill, Milano, 2011

Teaching unit I – Fundamental tools and methods
Elements of vector algebra
Rotation matrix
ODE homogeneous and non-homogeneous
Spectral analysis of symmetric matrices
Eigenvalues problem and diagonalization
Conservative, potential and irrotational vector fields
Teaching unit II – Mechanics of a material particle
Fundamental properties of the motion of a particle
Dynamics of free and constrained material elements
Un-damped and damped oscillators
Mechanical work, power and energy
Stabilty of mechanical equilibrium
Teaching unit III – Mechanics of systems of particles
Internal forces
Conservation of momentum
Conservation of angular momentum
Kinetic energy, Koenig’s theorem
Teaching unit IV – Rigid-body motion and Galilean relativity
Two- and Three-dimensional rigid-body motion
Kinematics in non-inertial frames of reference
Dynamics in non-inertial frames of reference, fictitious forces
Derivative of vectors in moving frames of reference
Trasformazioni tra riferimenti in moto relativo
Derivata temporale di R
Teaching unit V – Statics and dynamics of rigid bodies
Dynamics
Conservation of momentum and angular momentum
Inertia tensor
Ellipsoid of inertia
Koenig’s theorem
Euler equations
Rotation about central axes
Gyroscopes and precessions
Statics
Equivalent forces
Central axis of a system of forces
Constraints reactions
Graphic methods for the analysis of equilibrium
Teaching unit VI – Elements of Lagrangean mechanics

• Lecture notes with solved problems

Aircraft components and their role in flight.
Elements of steady aerodynamics of fixed wings: lift and drag coefficients, polar curve of the aircraft; aerodynamic efficiency; finite wings.
Elements of rotorcraft aerodynamics: rotor loads, role of the wake and wake inflow.
Fixed-wing aircraft performance: power curve, range and endurance; climb performance, ceiling.
Glide performance and climb hodograph.
Rotorcraft performance.
Maneuvers (steady turn, flare maneuver) and gust response.
Load factor, V-n diagram, gust envelope and flight envelope.
Take off and landing performance.
Aircraft trimmed flight conditions.
Aircraft static stability and corresponding characterizing parameters.

• Lecture notes
• Mc Cormick, B.W., Aerodynamics, Aeronautics, and Flight Mechanics. Wiley and Sons, 1995.
• Hildebrand, F.B., Methods of Applied Mathematics. Dover Publications, NY, 1992.
• Etkin, B., Dynamics of Flight-Stability and Control. John Wiley & Sons, Inc., 1996.
• Padfield, G.D., Helicopter Flight Dynamics. Blackwell Science, 1996.

Introduction to the world of materials
- Historical references, evolution of materials, a look inside them and a nod to the transformations
- Properties and performance of the components
Basic properties and elastic behavior
- Intrinsic properties
- Extrinsic properties
- Mechanical stress systems: rigid body, deformable body, continuum mechanics; linear elasticity, Hooke's law, elastic behavior of the isotropic solid
Composition and structure of matter at different dimensional scales
- Composition: molecule, chemical bond, Condon-Morse curves; ionic materials, molecular materials
- Thermodynamic origin of elasticity
- Structures: amorphous and crystalline, Bravais lattices and Miller indices
- Defects in crystalline solids: point, line and surface lattices
Mechanical behavior of materials
- Influence of T and t on the mechanical behavior as a function of the nature of the material
- Static tensile stresses at low T: stress-strain curve (elastic field, plastic field, critical points)
- Mechanical properties: ductility, hardness, brittleness, resilience and toughness (property measurement techniques)
- Fracture mechanics: Griffith energy theory, stress intensification factor, fracture toughness
- Dynamic stresses: fatigue, Wohler curve, Paris-Erdogan law
Mono- and multi-phase systems
- Thermodynamics of systems: Thermodynamics of condensed states, basic concepts, first law, second law, equilibrium conditions, non-equilibrium states, I and II principles together, characteristic state functions
- solubility in the solid state: cooling curves of one-component systems, state of aggregation, Hume-Rothery rules, solid solutions, phase
- dependence of solubility on composition, temperature and pressure: Gibbs and lever rules, Gibbs energy, Gibbs curves, phase equilibria in binary systems
- phase transformations in the solid state: diffusion mechanisms, activation energy and Fick's laws
- solidification kinetics and microstructures: nucleation and growth, main thermodynamic transformations, microstructures
Introduction to the main classes of metallic materials
- Iron-based alloys: classification of steels and cast irons, main phase diagrams, classification of specific heat treatments; special steels, stainless steels and applications.
- Titanium alloys: properties, processes – applications
- Aluminum alloys: properties, processes – applications
Introduction to the main classes of non-metallic materials
- Polymers and polymer matrix composites: properties, processes, applications
- Ceramics: properties, processes, notes on Weibull statistics - applications
References, complements, insights and numerical exercises provided for each topic.

W.D. Callister, Scienza e Ingegneria dei Materiali
Scienza e tecnologie dei metalli - CittàStudi Edizioni
Esercitazioni: su dispense del docente e su Moodle
Slide proiettate a lezione: in pdf su Moodle
Dispense online sul sito Teams del gruppo
https://teams.microsoft.com/l/team/19%3A20e53e6e143f49df8e721a6615b41200%40thread.tacv2/conversations?groupId=174fac2d-6262-4c07-9f8f-d67871354af7&tenantId=

Introductory concepts, deformation and motion of a particle, Cauchy theorem, Eurlerian and Lagrangian description, the Reynolds transport theorem, the material derivative. Forces and moments on airfoils. Buckingham theorem. General governing equations in integral and differential form. Constitutive relationships for Newtonian fluids. Navier-Stokes equations, Bernouilli equation. Vorticity dynamics. Potential flows and singular solutions (the case of the cylinder). Glauert theory for 2D airfoil. Finite wing theory. Low Reynolds number flows in ducts and Moody's diagram. Boundary layer concepts and theoretical approach for a 2D steady case. The separation of the boundary layer. Compressible flows. Quasi- and Uni-dimensional models for isentropic flows and normal shockwaves.

Notes provided by the teacher.
Graziani G., Aerodinamica, Univ. La Sapienza ed., 2010.
Anderson, Jr. J.D. , Fundamentals of Aerodynamics, 2nd Editino, McGraw Hill, 1991.

Electric field and magnetic field. Electromagnetism fundamentals, basic principles and theorems for the analysis of electric and magnetic circuits. Electric circuits in dc. Representation of sinusoidal electric quantities, definition of circuit impedance and analysis of single-phase and three-phase circuits; instantaneous power, active power and power factor in single-phase and three-phase circuits.
Methods for measuring current, voltage, active power, power factor and energy in single-phase and three-phase circuits.
Basic principle and operating characteristics of power transformers. Basic principles of static power conversion. Storage units and fuel cell generators.
Theory of the rotating magnetic field; basic structure and operating characteristics of induction and synchronous machines.
Components being used in electric systems; protection against either overvoltages or overcurrents; sizing of low-voltage secondary-network systems; power-factor correction; protective grounding and safety-related aspects in power distribution systems. Photovoltaic generating units and ground power units.

- G. Chitarin, F. Gnesotto, M. Guarnieri, A. Maschio, A. Stella - Elettrotecnica, 1 - Principi - Società Editrice Esculapio
- G. Chitarin, F. Gnesotto, M. Guarnieri, A. Maschio, A. Stella - Elettrotecnica, 2 - Applicazioni - Società Editrice Esculapio
- Additional Documents and Numerical Exercises available on either Moodle or Microsoft Teams

Kinematics of rigid bodies. Planar rigid displacements. Systems of rigid bodies.

Kinematic characterization of a constraint. External constraints and internal constraints.
Lability.

Statics of rigid bodies. External forces. Force, moment of a force, systems of forces, force density, distributed loads.
Static characterization of constraints. The static problem. Cardinal equations of statics. Static classification.

Evaluation of internal actions. Differential equilibrium equations in scalar and vector format. Direct method. Internal action diagrams.

Reticular trusses. Node method. Ritter method.

Beam kinematics. Displacement, rotation, hypothesis of small displacements. Kinematic conditions. Deformation measurements. Axial deformation. Angular scroll. Curvature. Equations of congruence. Model of Euler-Bernoulli. Vector representation of congruence equations. The kinematic problem for the beam.

Constitutive equations. Phenomenology of the response of a material. The uniaxial test. Elastic behavior. Plastic behavior and rupture. Ductile and fragile materials.

Constitutive equations for the elastic beam. Axial behavior, flexural behavior, shear behavior. Uniform thermal variation, affine thermal variation.

The elastic problem for the beam and its formulation.

Displacement method. Equation of the tension beam. Inflexion of a beam in the Euler-Bernoulli model. Extension to the Timoshenko model. Connection conditions and problem formulation for beam systems. Kinematic and static performance of internal constraints.

Three-dimensional continuous bodies. Cauchy's concept of traction. Partwise balance. Cauchy's Lemma. The stress tensor. Differential equations of equilibrium. Principal stresses and principal directions. Voltage states. Lamé's ellipsoid of tension. Isostatic lines. State of plane or biaxial tension. Purely tangential tension state. Uniaxial voltage state. Mohr's circles for the stress.


The problem of Saint Venant. Postulate of Saint Venant. The semi-inverse method. Normal force. Flexure. Torsion of compact and hollow circular sections. The Neumann problem. Elliptical sections. Polygonal sections. The hydrodynamical analogy. Thin rectangular section. Open sections composed of thin rectangles. Thin-walled sections: Bredt's theory.

Bending and shearing. Distribution of normal tractions. Distribution of tangential tractions: Jourawsky formula and its applicability.
Thin sections open. Thin rectangular section. Thin double T section. U and H shaped sections. Thin sections closed. Symmetrical closed section. Symmetrical compact sections. Determination of the shear center.

Rupture and yielding criteria for fragile materials and ductile materials.

P. Casini, M. Vasta, "Scienza delle costruzioni", Città Studi Edizioni 2016.
Exercises solved by the teacher.

Kinematics of rigid bodies. Planar rigid displacements. Systems of rigid bodies.

Kinematic characterization of a constraint. External constraints and internal constraints.
Lability.

Statics of rigid bodies. External forces. Force, moment of a force, systems of forces, force density, distributed loads.
Static characterization of constraints. The static problem. Cardinal equations of statics. Static classification.

Evaluation of internal actions. Differential equilibrium equations in scalar and vector format. Direct method. Internal action diagrams.

Reticular trusses. Node method. Ritter method.

Beam kinematics. Displacement, rotation, hypothesis of small displacements. Kinematic conditions. Deformation measurements. Axial deformation. Angular scroll. Curvature. Equations of congruence. Model of Euler-Bernoulli. Vector representation of congruence equations. The kinematic problem for the beam.

Constitutive equations. Phenomenology of the response of a material. The uniaxial test. Elastic behavior. Plastic behavior and rupture. Ductile and fragile materials.

Constitutive equations for the elastic beam. Axial behavior, flexural behavior, shear behavior. Uniform thermal variation, affine thermal variation.

The elastic problem for the beam and its formulation.

Displacement method. Equation of the tension beam. Inflexion of a beam in the Euler-Bernoulli model. Extension to the Timoshenko model. Connection conditions and problem formulation for beam systems. Kinematic and static performance of internal constraints.

Three-dimensional continuous bodies. Cauchy's concept of traction. Partwise balance. Cauchy's Lemma. The stress tensor. Differential equations of equilibrium. Principal stresses and principal directions. Voltage states. Lamé's ellipsoid of tension. Isostatic lines. State of plane or biaxial tension. Purely tangential tension state. Uniaxial voltage state. Mohr's circles for the stress.


The problem of Saint Venant. Postulate of Saint Venant. The semi-inverse method. Normal force. Flexure. Torsion of compact and hollow circular sections. The Neumann problem. Elliptical sections. Polygonal sections. The hydrodynamical analogy. Thin rectangular section. Open sections composed of thin rectangles. Thin-walled sections: Bredt's theory.

Bending and shearing. Distribution of normal tractions. Distribution of tangential tractions: Jourawsky formula and its applicability.
Thin sections open. Thin rectangular section. Thin double T section. U and H shaped sections. Thin sections closed. Symmetrical closed section. Symmetrical compact sections. Determination of the shear center.

Rupture and yielding criteria for fragile materials and ductile materials.

P. Casini, M. Vasta, "Scienza delle costruzioni", Città Studi Edizioni 2016.
Steen Krenk & Jan Høgsberg, "Statics and Mechanics of Structures", Springer 2013.
M. Capurso, Lezioni di Scienza delle Costruzioni, Pitagora Editrice, 1984.
E. Sacco, Lezioni di Scienza delle Costruzioni, 2016.
Solved problems.