- Docente: Francesco Ubertini
- Credits: 12
- SSD: ICAR/08
- Language: Italian
- Moduli: Stefano de Miranda (Modulo 1) Francesco Ubertini (Modulo 2)
- Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2)
- Campus: Bologna
- Corso: First cycle degree programme (L) in Civil Engineering (cod. 0919)
Learning outcomes
The goal of the course is to provide the students with the fundamental concepts of solid mechanics and the methodologies for structural analysis.
Course contents
OVERVIEW
STRAIN ANALYSIS
Displacement, deformation and strain. Strain tensor and physical meaning. Principal strains and directions. Compatibility equations.
STRESS ANALYSIS
Volume and surface forces. Rigid body equilibrium. Concept of stress and stress tensor. Principal stresses and directions. Mohr's circles. Equilibrium equations.
GENERAL RELATIONSHIPS
Principle of virtual works. Weak form of equilibrium and weak form of compatibility. Applications to beams.
ELASTICITY
Behavior of materials. Testing of ductile and brittle materials. Elastic behavior and strain energy. Linear elasticity. Isotropy. The linear elastic equilibrium problem. Superposition. Uniqueness of solution. Clapeyron's, Betti's and Maxwell's theorems.
FAILURE CRITERIA
Limit states and safety factors. Tresca stress criterion. Von Mises stress criterion. Failure criteria for brittle materials.
ST VENANT'S PROBLEM
St Venant's hypothesis and postulate. Axial loading. Pure bending. Eccentric axial loading. Torsion. Shear. Thin-walled members.
THEORY OF STRUCTURES
Beam model and internal forces. Constraints. Static and kinematic analysis. Funicular. Truss structures. Cross section geometry properties. Structural symmetry and asymmetry. The Elastica equation. Evaluating displacements and rotations. Statically indeterminate structures: force method and displacement method. Elastic stability. Euler buckling load.
Reinforced concrete beams.Readings/Bibliography
- Lecture slides and notes.
- E. Viola, Lezioni di Scienza delle Costruzioni, Pitagora Editrice Bologna, 2003.
- E. Viola, Esercitazioni di Scienza delle Costruzioni, Vol. 1, Pitagora Editrice Bologna, 1993.
- E. Viola, Esercitazioni di Scienza delle Costruzioni, Vol. 2, Pitagora Editrice Bologna, 1993.
Teaching methods
The course content will be entirely covered by the lectures. The course includes some help sessions, which will cover the practical aspects of the lectures. The instructors will tutor the students. The course includes, also, at least one visit to the Materials Testing Laboratory to attend some laboratory tests of materials and structures.
Assessment methods
There will be a final examination structured in two phases: a first
written exam and a subsequent oral exam. The written exam consists
of a few simple exercises and will be reviewed at the presence of
the students. The oral exam consists of some questions intended to
assess the knowledge and understanding of the topics covered by the
course.
There will be also two midterm written examinations. Students who pass both of them will be only required to take the final oral exam.
Teaching tools
The teaching tools are: overhead projector, projector and PC.
Visits to the Materials Testing Laboratory are planned.
Links to further information
Office hours
See the website of Francesco Ubertini
See the website of Stefano de Miranda