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Rational Mechanics

Rational Mechanics

Corso di "Meccanica Razionale"  (MAT/07) impartito in unimol nell'ambito dell'indirizzo “edile” del CdS di Ingegneria Civile (L7) inter-ateneo unisannio-unimol  

DOCENTE: Valentina FASANO

PROGRAMMA:

1. Titolo del corso: MECCANICA RAZIONALE

2. Codifica del corso:

3. TAF: -

4. Livello dell'insegnamento: basic

5. Anno di corso: 1

6. Numero di crediti: 6.00

7. Nome del Docente: Valentina FASANO

8. Obiettivi : Provide the student with the tools for:

- the analysis of vector fields;

- the kinematic and static analysis of plane rigid solids;

- the calculation of constraint reaction forces, internal forces and bending moments in single isostatic beams;

- the kinematic and static analysis of systems of beams and trusses;

- the calculation of constraint reaction forces, internal forces and bending moments in isostatic systems of beams and trusses.

9. Prerequisiti: Mathematics and Physics

10 Contenuti del corso: Analysis of vector fields: algebraic representation, operations, applied vector systems (resultant vector and resultant moment, systems with zero resultant vector, scalar invariant, central axis, concurrent vector systems, parallel vector systems, plane vector systems, center of parallel vectors, balanced vector systems, equivalent vector systems). Systems of forces and torques (concentrated and distributed). Kinematics of rigid solids (translations and rigid infinitesimal rotations, rotation center). Kinematics of constrained single rigid solids (perfect bilateral constraints, existence of a rotation center compatible with the constraints, kinematic compatibility matrix). Statics of single constrained rigid solids (static matrix, constraint reaction forces). Kinematics and statics of the plane rigid beam (constraints and reaction forces, kinematic and static matrices). Internal (axial and shear) forces and (bending) moments. Discontinuities in internal forces and moment. Local equilibrium of internal forces and moment in the beam. Diagrams of internal forces and moments in the plane rigid beam. Systems of beams: kinematic analysis (internal constraints, absolute and relative rotation centers, kinematic chains), static analysis ("auxiliary" equations, constraint reaction forces, internal forces and moment). Multiconnected beams (kinematic and static analysis). Planar trusses (kinematic and static analysis, method of joints, Ritter’s method of sections).

11. Bibliografia consigliata:

  • Ascione L., Sulla statica delle travi e dei sistemi di travi, Vol. 1, Liguori Editore, 2001.
  • Bigoni D., Casadei M., Laudiero F., Savoia M., Strutture reticolari, Esculapio, Bologna, 1999
  • Casini P., Vasta M., Scienza delle Costruzioni 2ed Città studi, 2011.
  • Nunziante L., Gambarotta L., Tralli A., Scienza delle costruzioni 2/ed, McGraw Hill, 2007.
  • Viola E., Esercitazioni di Scienza delle Costruzioni. Vol. 1. Strutture isostatiche e geometria delle masse, Pitagora Editrice, 1993

12. Metodologia d'insegnamento: Oral lessons

13. Metodi di valutazione: Separate oral and written exams

Descrizione Metodi di Insegnamento e Valutazione: Lessons and practice. Oral exam after mid-term written tests.