SCIENCE OF CONSTRUCTION
Stampa
Enrollment year
2019/2020
2021/2022
Regulations
DM270
ICAR/08 (CONSTRUCTION SCIENCE)
Department
DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE
Course
BUILDING ENGINEERING AND ARCHITECTURE
Curriculum
PERCORSO COMUNE
Year of study
Period
1st semester (27/09/2021 - 21/01/2022)
ECTS
9
Lesson hours
86 lesson hours
Language
Italian
Activity type
ORAL TEST
Teacher
VENINI PAOLO (titolare) - 9 ECTS
Prerequisites
1) Rigid body equilibrium equations, 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)
Learning outcomes
At the end of the course the student must: a) know the quantities suitable to describe the stress and deformation state of civil constructions as well as the methodologies for calculation and verification in the most recurring cases in practice, i.e. framed structures; b) understand the duality between equilibrium equations on the one hand and compatibility on the other and their synthesis through the principles of virtual works; c) know the main construction materials by translating their mechanical behavior into constitutive equations indispensable for calculating the solution.
Course contents
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)
.
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
Teaching methods
Lectures: 80 hours per year
Problems and exercises: 40 hours per year