The course deals with the fundamentals and advanced concepts of solid and structural mechanics together with the related solution tecniques for the design of structures.
The aim of the course is to improve knowledge of the fundamentals of solid mechanics and mechanics of structures in the linear elastic regime, the formulation of analytical and numerical methods of solution of the elastic problem of equilibrium and the limit of validity of elastic structural analyses.
The aim of the course is to improve knowledge for the analysis of the stress, strain and displacements fields in elastic solids and structures in the framework of both continuum (3D, 2D or structural analysis) and discrete (finite element analysis) formulations.
The course consists of 60 hours of lecture, which alternate theoretical concepts with applicative examples.
Statics and kinematics of a continuum (Cauchy continuum; stress and strain vectors and tensors; equilibrium and compatibility equations; static and kinematic problems). Constitutive equations and theory of failure (theory of elasticity; general theorems; limit of elasticity; failure criteria for yielding of ductile materials). Linear elastic problem (governing equations; uniqueness of solution; formulations in terms of displacements or stresses; methods of solution; plane stress and plane strain).
Beams (kinematics of deformation; Timoshenko and Euler-Bernoulli beam theories equilibrium, compatibility and constitutive equations; axial and bending problems). Bending plates (kinematics of deformation; Kirchhoff and Mindlin-Reissner plate theories; equilibrium, compatibility and constitutive equations; stress distributions; plates subjected to transverse load).
Rayleigh-Ritz method (fundamentals). Finite element method (kinematics and statics of a finite element, discrete model and assembly procedure, stiffness matrices and equivalent node load vectors, solution procedure of a numerical model, conditions of accuracy).
Many cited on the website (aulaweb).
Ricevimento: By appointment.
ILARIA MONETTO (President)
GIOVANNA VITTORI (President)
GIOVANNI BESIO
PAOLO BLONDEAUX
FRANCESCA CAMPI
FRANCESCO ENRILE
LUIGI GAMBAROTTA
ROBERTA MASSABO'
RODOLFO REPETTO
NICOLETTA TAMBRONI
The examination consists of an oral interview with a first question in form of an exercise.
None.
The online registration for examination is mandatory by 10 days before the date.
