- Docente: Luisa Molari
- Credits: 8
- SSD: ICAR/08
- Language: Italian
- Teaching Mode: In-person learning (entirely or partially)
- Campus: Cesena
- Corso: Single cycle degree programme (LMCU) in Architecture (cod. 0881)
Learning outcomes
At the end of the course the students know the basic concepts of the solid mechanics and the methodologies for the structural analysis.
Course contents
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. Linear elasticity. Isotropy. The linear elastic equilibrium problem. Superposition. Uniqueness of solution.
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. Static and kinematic analysis. The Elastica equation. Evaluating displacements and rotations. Statically indeterminate structures: force method and displacement method. Elastic stability. Euler buckling load.
Readings/Bibliography
C. Comi e L. Corradi Dell'Acqua, Introduzione alla Meccanica Struttural, McGraw-Hill
M. Capurso, Lezioni di Scienza delle Costruzioni, Pitagora Editrice
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.
Assessment methods
There will be a final examination structured in two phases: a first written exam and a subsequent oral exam. 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
Some notes will be available on the web.
Office hours
See the website of Luisa Molari