2017/2018

2019/2020

DM270

ICAR/08 (CONSTRUCTION SCIENCE)

DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE

PERCORSO COMUNE

3°

1st semester (30/09/2019 - 20/01/2020)

9

86 lesson hours

Italian

WRITTEN AND ORAL TEST

VENINI PAOLO (titolare) - 9 ECTS

1) Rigid body equilibrium equation, course of Meccanica Razionale (Rationale Mechanics)
2) Multivariable integral and differential calculus, course of Analisi Matematica 2 (Mathematical Analysis 2)
3) Linear algebra, course of Geometria (Geometry)

Framed structures are the main topic of the course. Methods for the analysis and design of such widespread type of structures represent the main issues of the course. The main goal is to get the students acquainted with such structures.

The structural analysis of framed structures is introduced within the framework of beam theory and calls for the computation of contraints reactions and internal actions. Cauchy theory of continuum mechanics is introduced afterwards to give substabce to a few results that were previously achieved euristically. Also this is the natural environment wherein strength of materials may be investigated so as to allow the design of simple structural components.

Mechanics of rigid systems
a) Statics and kinematics, constraints and loads.
b) Kinematic analysis: analytic versus synthetic approach, the role of the instantaneous centre of rotation.
c) Static analysis: equilibrium equations, kinematic vs static govern.ng matrix.
d) Internal actions: axial force, shear, bending and twisting moments; indefinite equilbrium equations, concentrated loads, beams with curvilinear axis

Mechanics of deformable beams and frames
a) Motivations: hyperdeterminate structures, the role of the material.
b) Elastic behavior with a view on elastoplasticity.
c) Thin beams: conservation of plane sections, elastica, Mohr's corollaries, theorem of virtual works, force method,
displacement method, energetic appproach

Continuum mechanics and Saint Venant problem
a) equilibrium and compatibility conditions for deformable bodies: stress and strain tensors.
b) elasticity, isotropy and linearity; steel as an elastic material.
c) the problem of Saint Venant: pure traction, pure bending, shear, torque.
d) strength of materials: motivations and use (von Mises and Tresca)
.
Additional arguments
a) Instability of equilibrium: analysis and design of columns including second order effects.
b) Computer structural analysis: the finite element method.
c) Ultimate bearing capacity of structures

Lectures: 80 hours per year
Problems and exercises: 40 hours per year

1) Alberto Taliercio, Introduzione alla Meccanica dei Solidi, ed. Esculapio

2) Giovanna Bucci e Carlo Cinquini, Elementi di Teoria della Trave e Soluzioni Strutturali. Esercizi Risolti, ed. Schonenfled e Ziegler

If needed, the interested student is invited to ask for English written textbooks

Written and oral parts (both compulsory)

Written and oral parts (both compulsory)