
Course unit
MECHANICS OF SOLID MATERIALS (Ult. numero di matricola dispari)
IN09111250, A.A. 2019/20
Information concerning the students who enrolled in A.Y. 2018/19
ECTS: details
Type 
ScientificDisciplinary Sector 
Credits allocated 
Educational activities in elective or integrative disciplines 
ICAR/08 
Construction Science 
9.0 
Course unit organization
Period 
Second semester 
Year 
2nd Year 
Teaching method 
frontal 
Type of hours 
Credits 
Teaching hours 
Hours of Individual study 
Shifts 
Lecture 
9.0 
72 
153.0 
No turn 
Prerequisites:

The student must possess the knowledge related to mathematical analysis (solution of ordinary first order differential equations, solutions of simple integrals, function analysis, development in Taylor series), linear algebra (solutions of systems of linear algebraic equations, eigenvalues and eigenvectors calculation) and physics of solid bodies (concept of force, moment, force operations, fundamentals of mechanics). 
Target skills and knowledge:

Basic knowledge of the mechanics of deformable bodies. Application to the study of beams and beam systems even in conditions of hyperstatic constraints in order to design and assess simple isostatic or hyperstatic plane structures, calculating the stress and strain state and the deformed configuration. 
Examination methods:

Written exam and, subsequently, oral exam; both tests are mandatory. The sufficiency in the written test allows access to the oral test. The written test has annual validity.
The written test consists in solving a series of exercises that include the classification and resolution of plane isostatic and hyperstatic beam systems (the latter using the force method), the kinematic study of rigidbody systems and the determination of the components of the Cauchy stress tensor in beams that can be studied with the De SaintVenant model.
In the oral exam, to complete the written one, the student must demonstrate to have acquired the knowledge related to the topics covered during the course, mastery of technicalscientific language and the expository capacity. 
Assessment criteria:

The student will demonstrate:
 to have acquired the correct methodologies for the calculation and resolution of plane structural systems, demonstrating good reasoning skills;
 to understand the theoretical topics developed during the course and be able to create links between them and critically reelaborate them;
 to possess a good ability to exhibit and master the technicalscientific language. 
Course unit contents:

Models of structures, materials, external forces and constraints. Kinematic study of plane systems of rigid bodies in the hypothesis of small displacements. Statickinematic classification. Principle of virtual works for systems of rigid bodies and influence line. Equilibrium of bodies in statics. Internal beam reactions in beams. Study of isostatic structures (beams, beam systems and truss structures). Strain analysis: tensor of small deformations, compatibility equations, principal strains and principal directions of strain. Stress analysis: stress vector and stress tensor, Cauchy theorem and indefinite equations of equilibrium, principal stresses and principal directions of stress, Mohr's circles. Constitutive material model: uniaxial test, linear elastic homogeneous and isotropic material (generalized Hooke's law). The elastic problem and bases of resolution with the forcebased method and the displacementbased method. Virtual Works Theorem and its formulation for systems of continuous bodies and beam systems (MullerBreslau equations). Strength criteria for ductile or brittle materials. Analysis of the deformation of the inflected plane beam. Study of hyperstatic sstructures with the forcebased method. Geometry of the areas: first and second order moments, centroid, principal axes of inertia. De SaintVenant beam: determination of the stress state in spatial beams subjected to normal force, straight and deviated bending, torque, shear. Stability of elastic equilibrium for continuous systems with determination of the Eulerian buckling load of compressed rods and simple plane frames. 
Planned learning activities and teaching methods:

Frontal lectures, divided into lectures and exercises, carried out on the blackboard or using the tablet.
The teaching material will be available to students through the University moodle platform. 
Additional notes about suggested reading:

Lecture notes and reference books.
Additional books:
L.Simoni, Lezioni di Scienza delle Costruzioni, Libreria Progetto Padova.
L. Nunziante, L. Gambarotta, A. Tralli, Scienza delle Costruzioni, McGrawHill.
A. Di Tommaso, Fondamenti di scienza delle costruzioni, Bologna: Patron Ed., 1981. Voll. 1 e 2.
E. Viola, Esercitazioni di Scienza delle Costruzioni/1 e /2: strutture isostatiche e geometria delle masse; strutture iperstatiche e verifiche di resistenza, Pitagora Ed Bologna.
L. Corradi dell’Acqua, Meccanica delle Strutture 1, 2, 3, McGrawHill.
C. Casini, M. Vasta, Scienza delle Costruzioni, Città Studi ed.
A. Carpinteri, Scienza delle Costruzioni, volumi 1 e 2, Pitagora Ed, Bologna.
A. Carpinteri, G. Lacidogna, M. Paggi, Calcolo delle strutture isostatiche, Pitagora Ed.
A. Carpinteri, G. Lacidogna, C. Surace, Calcolo dei telai piani
R.C. Hibbeler, Mechanics of materials, Pearson Prentice Hall.
M. Bertero, S. Grasso, Esercizi di Scienza delle Costruzioni, Levrotto&Bella, Torino. 
Textbooks (and optional supplementary readings) 

Majorana, Carmelo; Salomoni, Valentina, Scienza delle costruzioniCarmelo Majorana, Valentina Salomoni. [Milano]: Novara, CittàStudi, De Agostini scuola, 2007.

Salomoni, Valentina, Esercizi di scienza delle costruzioniValentina Salomoni ... [et al.]. Padova: Progetto, 2016.

Lenci, Stefano, Lezioni di meccanica strutturaleStefano Lenci. Bologna: Pitagora Editrice, 2009.

Innovative teaching methods: Teaching and learning strategies
 Loading of files and pages (web pages, Moodle, ...)
Innovative teaching methods: Software or applications used
 Moodle (files, quizzes, workshops, ...)

