Programme

Linear elastic beam models: local deformation measures and local equilibrium equations. Cases examined: axis having shape of a linear segment or an arch of circumference with orthogonal sections. Linear axis and sections with a generic orientation.
Displacement method for the solution of statically indeterminate problems.
Beam models for the analysis of structural elements relevant for the historic buildings: arches, flat-arches, masonry structures (with one or more leafs) having one prevailing dimension. Analysis of the effect of the shear deformation on their mechanical behaviour.

Beam systems of relevant interest in the historic constructions: analysis of wooden trusses and floors and the unfolding of the rôle of their components.
Analysis of some sample problems by means of SAP2000 and Mathematica softwares.
The Cauchy continuum: local deformation and stress measures.
Principal stresses and principal deformation: the Mohr circumference.
The strain gage rosettes.
Uniaxial stress and strain cases. Constitutive relationships for masonry.
Linear elastic relationships. Material symmetries: orthotropic, isotropic materials. Lamé constants, Young modulus and Poisson coefficient.
Masonry damage analysis: direction of the cracks triggered by combined shear and normal stress components. Stresses induced by sinking.

Core Documentation

Teacher's notes.
Gurtin: An introduction to continuum mechanics
Benvenuto: An Introduction to the History of Structural Mechanics

The teacher's notes, that are the basic part of the learning material, can be found in the FTP space of the Dipartimento di Architettura, using DARKNAS101.

Reference Bibliography

Gurtin: An introduction to continuum mechanics Benvenuto: An Introduction to the History of Structural Mechanics

Type of delivery of the course

Classroom lectures, guided exercises, computational analyses using standard software From the starting date of the course (march, 9, 2020) and until will be in force the Governmet measures concerning the 'distanziamento sociale' le lessons will be held from the platform Microsoft Teams where has been formed a group called 'Scienza delle Costruzioni - LM Architettura Restauro - a.a. 2019-2020' (shorthand SC). Starting form the beginning of the course (march, 9 2020) and until will remain in force the current government rules, the course will be held online by utilizing the software Microsoft Teams.

Attendance

By attending the lectures and , in particular, making the exercises, the student can verify, the acquired level of knowledge.

Type of evaluation

The written test will be focused on the solution of some simple problem strictly related to the course matter. (cancelled, due to the present crisis.) The oral test concerns the discussion of the exercises carried out by the students during the semester together with parts of the programme of the course. The examination will be carried out trough the Teams platform following the rules prescribed by our University. The students must present the required relations at least one week before the day of the examination.