Teachings
IN/0102  CONSTRUCTION THEORY
Academic Year 2021/2022
Free text for the University
 Professor

MICHELE BRUN (Tit.)
 Period

First Semester
 Teaching style

Convenzionale
 Lingua Insegnamento

ITALIANO
Informazioni aggiuntive
Course  Curriculum  CFU  Length(h) 

[70/73] ENVIRONMENTAL AND LAND ENGINEERING  [73/00  Ord. 2020] PERCORSO COMUNE  8  80 
[70/77] CHEMICAL ENGINEERING  [77/00  Ord. 2017] PERCORSO COMUNE  6  60 
Objectives
"Basic Structural Mechanics" is a module of the integrated Course "Basic Structural Mechanics and Structural Mechanics" that includes also the Course "Structural Mechanics".
The competence level of the Course of Theory of Structures are defined following the SUA CdS document and, in more detail, they are described as follows.
 Knowledge and understanding: the student at the end of the Course will acquire the basic knowledge concerning Theory of Solids and Structures. The Course develops the knowledge acquired during classes of Mathematics and Physics; topics peculiar to Solids and Structural Mechanics and Strength of Materials are carefully developed, which will be used in the class of Theory and Technology of Structures (Tecnica delle costruzioni). The aim is that of developing in a sound and rigorous way the basic issues, by making clear the physical meaning of the mechanical models which are introduced and their limits of applicability. Attending this class, students will become able to develop applications covering all treated issues. In particular, rigidbody systems, statically determinate and undeterminate structures and linear elastic deformable solids will be dealt with.
 Applying knowledge and understanding: the objective is to make students able to perform the following tasks:
1. recognizing the bearing elements of a given constructions;
2. selecting an appropriate structural scheme;
3. evaluating the stress and strain state in a solid subjected to given forces;
4. assessing the resistance of a structural element;
5. computing displacement components in a given statically determinate or indeterminate structure.
 Making judgements: the theoretical and applied knowledge will enable the student to be aware of the relevance and potential complexity of the structural aspect of a construction; The importance of a correct approach to the structural problem and the need to solve it correctly and with appropriate tools.
 Communication: the student will acquire the ability to communicate, express and argue from a technical point of view regarding the carrying capacity of the structures. The student will be able to deduce simplified models from real structures and to describe from a quantitative point of view geometries and materials of a civil construction.
 Lifelong learning skills: the student will learn theoretical and numerical methodologies and tools related to the basic theory of solid mechanics and structures, such as calculation of sections of a section, methods of resolution of statically determined and undetermined structures and constitutive models.
Objectives
The competence level of the Course of Theory of Structures are defined following the SUA CdS document and, in more detail, they are described as follows.
 Knowledge and understanding: the student at the end of the Course will acquire the basic knowledge concerning Theory of Solids and Structures. The Course develops the knowledge acquired during classes of Mathematics and Physics; topics peculiar to Solids and Structural Mechanics and Strength of Materials are carefully developed, which will be used in the class of Theory and Technology of Structures (Tecnica delle costruzioni). The aim is that of developing in a sound and rigorous way the basic issues, by making clear the physical meaning of the mechanical models which are introduced and their limits of applicability. Attending this class, students will become able to develop applications covering all treated issues. In particular, rigidbody systems, statically determinate and undeterminate structures and linear elastic deformable solids will be dealt with.
 Applying knowledge and understanding: the objective is to make students able to perform the following tasks:
1. evaluating the stress and strain state in a solid subjected to given forces;
2. assessing the resistance of a structural element;
3. recognizing the bearing elements of a given constructions;
4. selecting an appropriate structural scheme;
5. computing displacement components in a given statically determinate or indeterminate structure.
 Making judgements: the theoretical and applied knowledge will enable the student to be aware of the relevance and potential complexity of the structural aspect of a construction; The importance of a correct approach to the structural problem and the need to solve it correctly and with appropriate tools.
 Communication: the student will acquire the ability to communicate, express and argue from a technical point of view regarding the carrying capacity of the structures. The student will be able to deduce simplified models from real structures and to describe from a quantitative point of view geometries and materials of a civil construction.
 Lifelong learning skills: the student will learn theoretical and numerical methodologies and tools related to the basic theory of solid mechanics and structures, such as calculation of sections of a section, methods of resolution of statically determined and undetermined structures and constitutive models.
Prerequisites
The basic background of highschool and of first year's class Mathematics and Physics is assumed as a necessary prerequisite.
In detail, these are the:
A) Physics prerequisites:
A1 Basic dimensions and units of measures;
A2 Vectors: fundamental operations and their use in formulating mechanical problems.
B) Mathematics prerequisites:
B1 Elementary functions and their graphs (polynomials, trigonometric and hyperbolic functions, powers, logarithms);
B2 Vectors and analytic geometry;
B3 Matrices, systems of linear algebraic equations, eigenvalues and eigenvectors;
B4 Derivatives and study of functions by differential calculus;
B5 Integrals;
B6 Differential equations.
Prerequisites
The basic background of highschool and of first year's class Mathematics and Physics is assumed as a necessary prerequisite.
In detail, these are the:
A) Physics prerequisites:
A1 Basic dimensions and units of measures;
A2 Vectors: fundamental operations and their use in formulating mechanical problems.
B) Mathematics prerequisites:
B1 Elementary functions and their graphs;
B2 Vectors and analytic geometry;
B3 Matrices, systems of linear algebraic equations, eigenvalues and eigenvectors;
B4 Derivatives and study of functions by differential calculus;
B5 Integrals;
B6 Differential equations.
Contents
Introduction: definition of Solid and Structural Mechanics, structural elements, structures, constraints, loads, materials. (4 hours lectures)
System of forces: forces and couples, equivalent system of force. (4 hours lectures)
Section properties: center of mass, first and second moment of inertia, Varignon Theorem, Huygens Theorem, Mohr representation of second moment of inertia, Cullmann ellipse. (8 hours lecture + 4 hours tutorials)
Kinematics of frames: degrees of freedom, internal and external constraints, hpostatic, isostatic and hyperstatic structures, kinematic analysis. (4 hours lecture + 2 hours tutorials)
Static of frame structures: balance equations, holonomic, scleronomous external and internal constraints, simple, double and triple constraints. (2 hours lecture)
Determinated structures: reactions (algebraic method, auxiliar equations method, virtual work principle). (4 hours lecture)
Internal actions: normal stress, shear, bending moment and torque, balance laws, diagrams of internal actions (equazioni indefinite di equilibrio e metodo diretto). (2 hours tutorials)
Balane law for straight beams. (2 hours tutorials)
Common undeterminated structures: Gerber, truss structure, three hinges arches, closed frames, examples. (2 hours lectures)
Truss structures: balance of equations and unknown, node equilibrium Ritter method. (2 hours tutorials)
Solution of closed frame determinated structures: balance of equations and unknown. (2 hours tutorials)
Solution of determinated structures: external and internal reactions, diagrams of internal actions. (4 hours tutorials)
Solid Mechanics. Deformation: small displacement kinematics, deformation and rototranslation components, principal components and principal directions, kinematic compatibility. (2 hours lecture)
Solid Mechanics. Stress: forces and stresses in a rtidimensional medium, stress tensor, principal components and principal directions, stress invariants, Mohr representation, plane stress, balance laws and boundary conditions. (2 hours lecture)
Leggi fondamentali dellelasticità: constitutive elastic law, linearity and isotropy, Hooke law, Lamé constants, physical meaning of elastic constants. (2 hours lecture)
De SaintVenant problem: axial stress, bending, shear. (2 hours lecture)
Contents
– Introduction: definition of Solid and Structural Mechanics, structural elements, structures, constraints, loads, materials. (4 hours lectures)
– System of forces: forces and couples, equivalent system of force. (4 hours lectures)
– Section properties: center of mass, first and second moment of inertia, Varignon Theorem, Huygens Theorem, Mohr representation of second moment of inertia, Cullmann ellipse. (8 hours lecture + 4 hours tutorials)
– Kinematics of frames: degrees of freedom, internal and external constraints, hpostatic, isostatic and hyperstatic structures, kinematic analysis. (4 hours lecture + 2 hours tutorials)
– Static of frame structures: balance equations, holonomic, scleronomous external and internal constraints, simple, double and triple constraints. (2 hours lecture)
– Determinated structures: reactions (algebraic method, auxiliar equations method, virtual work principle). (4 hours lecture)
– Internal actions: normal stress, shear, bending moment and torque, balance laws, diagrams of internal actions (equazioni indefinite di equilibrio e metodo diretto). (2 hours tutorials)
– Balane law for straight beams. (2 hours tutorials)
– Common undeterminated structures: Gerber, truss structure, three hinges arches, closed frames, examples. (2 hours lectures)
– Truss structures: balance of equations and unknown, node equilibrium Ritter method. (2 hours tutorials)
– Solution of closed frame determinated structures: balance of equations and unknown. (2 hours tutorials)
– Solution of determinated structures: external and internal reactions, diagrams of internal actions. (4 hours tutorials)
– Solid Mechanics. Deformation: small displacement kinematics, deformation and rototranslation components, principal components and principal directions, kinematic compatibility. (6 hours lecture)
– Solid Mechanics. Stress: forces and stresses in a rtidimensional medium, stress tensor, principal components and principal directions, stress invariants, Mohr representation, plane stress, balance laws and boundary conditions. (4 hours lecture)
– Leggi fondamentali dell’elasticità: constitutive elastic law, linearity and isotropy, Hooke law, Lamé constants, physical meaning of elastic constants. (6 hours lecture)
– De SaintVenant problem: axial stress, bending, shear. (8 hours lecture)
– Virtual work principle. Displacement in determinated structures and solutions of undeterminated structures. (6 hours lecture)
– Solution of undeterminated structures by means of the principle of virtual work: structure with one, two and n degree of hyperstaticity, closed frame (6 hours tutorials).
Teaching Methods
80 hours of lectures, 50 hours will be devoted to theory and 30 hours will be tutorials.
Teaching language is Italian.
Traditional lectures (chalks on blackboard or online depending on the directives) are interspersed with some exercise sessions, where students are required to solve practical problems, which are similar to those presented in the final tests. In case the necessary financial support will be granted, a tutor will be available to help students improving their skills.
A few classnotes, selfevaluation tutorials have been assigned so far for the final are available for free download (in PDF format) on the teacher's web site.
Teaching Methods
60 hours of lectures, 40 hours will be devoted to theory and 20 hours will be tutorials.
Teaching language is Italian.
Traditional lectures (chalks on blackboard or online depending on directives) are interspersed with some exercise sessions, where students are required to solve practical problems, which are similar to those presented in the final tests. In case the necessary financial support will be granted, a tutor will be available to help students improving their skills.
A few classnotes, selfevaluation tutorials have been assigned so far for the final are available for free download (in PDF format) on the teacher's web site.
Verification of learning
The final exam is this: one written test with three parts (Cross section properties, determinated structure, undeterminated structure).
When the written test gets a positive grade (i.e. a score greater or equal to 18) then admission to oral examination, which is related to more theoretical issues, is granted.
Written tests is worth 70% of the final grade, while 30% is reserved to oral examination.
Admission to final requires having attended at least 60% of lectures.
Exam dates are known in large advance and students have to book online in due time, at least 48 hour before the exam; students failing to comply with this requirement will not be admitted to the exam room.
Note for Erasmus students: due to the large number of students involved, no special assignments will be available.
The finale grade of the integrated Course "Basic Structural Mechanics and Structural Mechanics" will include a weighted means of the final grades of the arguments exposed in each modulus.
Verification of learning
The final exam is this: one written test with two parts (Cross section properties, statically determinated structure).
When the written test gets a positive grade (i.e. a score greater or equal to 18) then admission to oral examination, which is related to more theoretical issues, is granted.
Written tests is worth 70% of the final grade, while 30% is reserved to oral examination.
Admission to final requires having attended at least 60% of lectures.
Exam dates are known in large advance and students have to book online in due time, at least 48 hour before the exam; students failing to comply with this requirement will not be admitted to the exam room.
Note for Erasmus students: due to the large number of students involved, no special assignments will be available.
Texts
– Scienza delle Costruzioni. Vol 1/2. 1992 Alberto Capinteri. Pitagora Editrice, Bologna.
– Lezioni di Scienza delle Costruzioni. 1971 Michele Capurso. Pitagora Editrice, Bologna.
– Scienza delle Costruzioni. Vol III. 1966 Odone Belluzzi. Zanichelli.
Tutorials:
– Geometria delle masse. Con esercizi risolti e programma di calcolo. 1993 D. Bigoni, A. di Tommaso, M. Gei, F. Laudiero, D. Zaccaria. Progetto Leonardo – Soc. Ed. Esculapio, Bologna.
– Esercizi di Scienza delle Costruzioni. Vol 1. Strutture isostatiche e geometria delle masse. 1993. Erasmo Viola. Pitagora Editrice. Bologna
– Esercizi di Scienza delle Costruzioni. Vol 2. Strutture iperstatiche e verifica di resistenza. 1988. Erasmo Viola. Pitagora Editrice. Bologna
Additional books:
– La Scienza delle Costruzioni ed il suo sviluppo storico. 1981 Edoardo Benvenuto. Sansoni, Firenze.
– Statica dei sistemi rigidi. 1983 Alfredo Sollazzo, Umberto Ricciuti. UTET.
– Elementi di meccanica dei continui e resistenza dei materiali. 1988 Alfredo Sollazzo, Salvatore Marzano. UTET.
– Teoria tecnica delle travi. 1993 Alfredo Sollazzo, Mauro Mezzina. UTET.
– Scienza delle Costruzioni. Alfredo Sollazzo. UTET.
– Strength of materials. 1976. Stephen Timoshenko. Krieger Publishing Company.
Theory of Elasticity. 1970. S. Timoshenko, J. N. Goodier. McGraw Hill
Texts
Scienza delle Costruzioni. Vol 1/2. 1992 Alberto Capinteri. Pitagora Editrice, Bologna.
Lezioni di Scienza delle Costruzioni. 1971 Michele Capurso. Pitagora Editrice, Bologna.
Scienza delle Costruzioni. Vol III. 1966 Odone Belluzzi. Zanichelli.
Tutorials:
Geometria delle masse. Con esercizi risolti e programma di calcolo. 1993 D. Bigoni, A. di Tommaso, M. Gei, F. Laudiero, D. Zaccaria. Progetto Leonardo Soc. Ed. Esculapio, Bologna.
Esercizi di Scienza delle Costruzioni. Vol 1. Strutture isostatiche e geometria delle masse. 1993. Erasmo Viola. Pitagora Editrice. Bologna
Esercizi di Scienza delle Costruzioni. Vol 2. Strutture iperstatiche e verifica di resistenza. 1988. Erasmo Viola. Pitagora Editrice. Bologna
Additional books:
La Scienza delle Costruzioni ed il suo sviluppo storico. 1981 Edoardo Benvenuto. Sansoni, Firenze.
Statica dei sistemi rigidi. 1983 Alfredo Sollazzo, Umberto Ricciuti. UTET.
Elementi di meccanica dei continui e resistenza dei materiali. 1988 Alfredo Sollazzo, Salvatore Marzano. UTET.
Teoria tecnica delle travi. 1993 Alfredo Sollazzo, Mauro Mezzina. UTET.
Scienza delle Costruzioni. Alfredo Sollazzo. UTET.
Strength of materials. 1976. Stephen Timoshenko. Krieger Publishing Company.
Theory of Elasticity. 1970. S. Timoshenko, J. N. Goodier. McGraw Hill
More Information
In the Course website student will find Course notes and solved tutorials.