AIMS AND CONTENT

AIMS AND LEARNING OUTCOMES

During the course the student must develop the following main skills as a result of the learning process:

- physically interpreting deformation and stress states
- determining principal deformations and stresses and their corresponding directions in both analytical and graphical approach
- writing compatibility and equilibrium (balance) equations of the continuous body
- using the constitutive law equations of isotropic linear elastic materials and write the potential elastic energy
- to determine stress, strain and displacement fields deriving from different simple and compound stresses in the De Saint Venant continuous model: axial load, bending and biaxial flexure, combined bending and axial loading, torsion, transverse shear, combined torsion and shear stresses
- graphically showing the stress fields determined
- using approximate theories for the evaluation of uniform torsion in open and closed thin-walled sections
- performing verifications of strength in the presence of multiaxial stress states
- being able to deal with design and verification problems for simple beams

TEACHING METHODS

Lectures: on the blackboard using slide projections

SYLLABUS/CONTENT

The Cauchy continuum

  Deformation analysis
  Stress analysis
   Virtual Work Identity
   Constitutive law for isotropic material
   The elastic problem and the De Saint Venant principle

The De Saint Venant problem

    Semi-inverse method
    General solution for normal stress
    Sub-problem 1: uniform extension
    Sub-problem 2: uniform bending
    Mixed problems (biaxial bending and eccentric normal force)
    Sub-problem 3: uniform torsion
    Sub-problem 4: non-uniform bending
    Mixed problems: transverse shear and torsion, shear center
    Notes on resistance criteria and equivalent (ideal) stress

RECOMMENDED READING/BIBLIOGRAPHY

Course notes available on Aulaweb

Nunziante, Gambarotta, Tralli - Scienza delle Costruzioni - McGraw Hll (capitoli 5 e 6)
Luongo, Paolone - Scienza delle Costruzioni: Il continuo di Cauchy - Casa Editrice Ambrosiana (capitoli 1-6, 10)
Casini, Vasta - Scienza delle Costruzioni - Città Studi Edizioni (capitoli 13-22, 24)

TEACHERS AND EXAM BOARD

Exam Board

LUIGI GAMBAROTTA (President)

GIUSEPPE PICCARDO (President)

LUIGI CARASSALE

MARCO LEPIDI

MIRKO MAURICI

FEDERICA TUBINO

LESSONS

LESSONS START

February 2017

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

The exam consists of a written and an oral test.

Furthermore, during the Course, there will be two written tests on the first (Cauchy continuum) and the second part (DSV problem) of the Course. The students that will pass them, will be enabled to access directly the oral exam.

ASSESSMENT METHODS

The written test is based on the solution of some (2/3) problems similar to those dealt with during the course exercises, concerning the whole program of the course. The use of books or notes, and electronic equipment of any kind (cell phones, tablets, laptops) is not permitted. The written tests are valid during the exam session in which they are sustained (June-September or January-February). Students who have obtained a grade equal to or greater than 18 in the written test are admitted to the oral exam. Handing in a test cancels the outcome of any previous written tests.

The written partial tests proposed during the course (II semester), with an average grade equal to or greater than 18, replace the written test. The partial tests lose validity if the oral test is not sustained by the end of the Session in which they are held (September). The topics of the partial tests concern the contents developed in the periods preceding the test itself and concern the first (Cauchy continuum) and the second part (DSV model solutions) of the course. Handing in a test cancels the outcome of the partial tests.

The oral examination is aimed at verifying the acquisition of the concepts and analytical skills acquired by the student and the knowledge of the theoretical part of the program, as well as a possible discussion of the written test. To take the oral test it is necessary to have a valid written test and to be in compliance with the prerequisites. If the outcome of the oral test is not sufficient, a new written exam must be taken.

The exams take place in Italian. The oral exam can be taken in English.