The course introduces the basic principles and methodological aspects of theoretical and applied mechanics, by adopting the tools of mathematical physics. The linear models for the static, kinematic and elastic behaviour of solids and structures are introduced to establish the fundamentals of the structural design. The student develops the engineering confidence and the operational skills to deal with elastic problems of increasing difficulty.
Understanding of the theoretical foundations of mechanics (kinematic compatibility, quasi‐static force equilibrium, laws of virtual works and energy conservation). Acquisition of the mathematical tools employed in the formulation of the physical models describing the mechanical behaviour of structural elements and complex structures (discrete models of rigid bodies, continuous models of mono‐ and tri‐ dimensional deformable beams, continuous and discrete models of planar frames). Development of the engineering awareness required for the formulation of structural analysis problems of increasing complexity, and attainment of sufficient proficiency in the practical application of the related solution techniques, focused on the structural design in the elastic field through the allowable stress method.
The teaching activity consists of traditonal lessons on theoretical arguments (about 50 hours), accompanied by illustrative examples for specific problems (about 10 hours).
Part I (10 hours): physical mathematical models of rigid bodies, quasi‐static forces, bilateral holonomic time‐independent constraints, static problem and kinematic problem for rigid bodies. Part II (20 hours): one‐dimensional continuum model of deformable beams (Euler‐Bernoulli and Timoshenko models); static problem, kinematic problem and linear elastic constitutive law for deformable beams; elastic problem and law of virtual works for deformable beams; force method and displacement method for the solution of planar frames of deformable beams. Part III (10 hours): three‐dimensional continuum model of deformable solids (Cauchy model); static problem, kinematic problem and linear elastic constitutive law for the deformable solids; elastic problem for deformable solids. Part IV (20 hours): three‐dimensional continuum model of deformable prismatic solids (De Saint Venant model); elastic problem for the deformable prismatic solids and semi‐inverse method of solution; elementary problems of uniform extension, uniform and non‐uniform flexion, torsion. Complementary: structural design according to the method of allowable stresses; stability of equilibrium.
PAOLO BLONDEAUX (President)
MARCO LEPIDI (President)
GIOVANNA VITTORI (President)
GIOVANNI BESIO
FRANCESCO ENRILE
GIUSEPPE PICCARDO
RODOLFO REPETTO
NICOLETTA TAMBRONI
FEDERICA TUBINO
TBD
Written final examination (eventually distinguished in two partial examinations) followed, upon successful completion, by an oral examination. (see also the Guide to the Exam)
NA
http://www.ingegneriachimica.unige.it/courses.htm
