Facoltà di Ingegneria - Guida degli insegnamenti (Syllabus)

Knowledge of the basic topics of analysis (limit, derivative, integral, resolution of ordinary differetial equations, etc.), of linear algebra (matrixes, Rouche-Capelli theorem, eigenvalues problem, etc.) and physics (force, work, etc.)

This course intends to provide the main concepts on the kinematics and statics of deformable structures and on the strength of materials, which are essential for the design of real structures. The course allows to better understand the applications of the mathematical tools and physical principles, learnt during the preliminary courses of general physics, mathematical analysis, geometry and statics, to the design process of a structure. In particular the course deals with the mechanics of deformable bodies, the theory of elastic beams, the study of hyperstatic structures, the stability of the equilibrium and the linear dynamics of structures.

In order to tackle the problems related to analysis of structures and their design, the student must learn how to interpret and set up the data, associated with all the structural aspects of the design of a structure, with scientific precision, understand the strain and stress state within the various structural members and know how to verify their safety.

By means of the resolution of hyperstatic structures, the study of the stress state in the critical sections of a beam and their safety verification, the student will acquire the theoretical and practical skills which are necessary in the exercise of the profession, learning how to exploit the physical mathematical tools within the analysis of architectural structures.

1. Kinematics of deformable bodies and analysis of strain 2. Statics of deformable bodies and analysis of stress 3. Constitutive relations and energy relationships 4. The elastic problem 5. The De Saint-Venant (D.S.V.) problem 6. Traction 7. Bending moment (flexure), bendings and traction 8. Approximate theory of shear 9. Torsion 10. The Principle of Virtual Works 11. Displacements method for statically indeterminate structures 12. Yield and strength criteria 13. Stability of elastic equilibrium 14. Variational principles 15. Basics of dynamics of structures

The learing evaluation will be done in two steps: - a written examination, where the students are asked to solve exercises related to the topic of the lectures; - an interview (oral examination) which will involve all the topics discussed during the lectures, including exercised aimed at checking the application of the general theory.

To get a positive evalution, the candidate must: - show that he/she understood the topics developed in the lectures; - be able to elaborate the previous concepts in order to solve simple problems of structural engineering, including the understanding of various mechanical behaviours; - be able to understand stresses and deformations which develops within a structure; - be able to determine stresses in beams, to perform safety checks, to solve simple structures from statics and kinematics points of view.

The final evaluation, expressed by a number from 0 to 30 (positive evaluation from 18 to 30), will reflect: - the level of general knowledge of the student; - the capacity of the student to elaborate the general concepts, and his/her skills in applyin them to basic structural problems typical of the mechanical engineering.

In the written examination the minimum sufficient score (18/30) is obtained when, although not having solved exhaustively all exercises, the student shows to be able to solve statically undetermined structures and to draw the graphs of the internal actions. The maximum score (30/30) is obtain when all exercises are fully and correctly solved. Getting the 18/30 in the written examination is necessary to be admitted to the oral examination. In the oral examination the minimum sufficient score (18/30) is for students that show the understanding of the basic concepts illustrated during the lecturers. The mark will increase as much as the student will show a deep knowledge and his/her ability to elaborate these concepts. The maximum score (30/30) is obtained with a deep knowledge of all the topics and with the ability to apply them to real cases or to exercises proposed by the examinator. To get a positive evaluation, the student must get a minimum sufficient score also in the oral examination. The final mark will summarize the marks obtained in the written and oral examinations. The summa cum laude is for students that, having obtained maximum marks in both written and oral examination, show special cleverness during the interview.

Corradi dellAcqua, Meccanica delle Strutture, McGraw-Hill Gambarotta, Nunziante, Tralli, Scienza delle Costruzioni, McGraw-Hill Lenci, Lezioni di Meccanica Strutturale, Pitagora Menditto, Lezioni di Scienza delle Costruzioni, Pitagora Muscolino, Dinamica delle Strutture, McGraw-Hill

- Ingegneria Edile-Architettura (Corso di Laurea Magistrale con Riconoscimento Europeo (DM 270/04))

**Università Politecnica delle Marche**

P.zza Roma 22, 60121 Ancona

Tel (+39) 071.220.1, Fax (+39) 071.220.2324

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