21001999 - FUNDALMENTALS OF STRUCTURAL MECHANICS

To provide knowledge of the rudiments of mechanics for rigid body and the beam models, with application to simple cases of isostatic and hyperstatic systems articulated in two dimensions. Course topics are in particular: introduction of rigid body kinematics and concepts of constraints; distributions, equivalence and reduction of systems of forces; the balance equations and the methods of calculations of reaction forces; the beam model kinematics linea rizzata; the contact actions; the balance equations; the Navier formula; the resolution of simple isostatic and hyperstatic systems.

Canali

teacher profile | teaching materials

Programme

1) Algebra and vector geometry (follow-up)
2) Rigid body kinematics
3) Force and moment distributions
4) Mechanics of rigid systems in 2D
- linearized kinematics
- (internal and external) constraints
- equilibrium and reaction forces
- the principle of virtual work (PVW)
5) Mechanics of elastic beam systems in 2D
- beam equilibrium equations
- evaluation and diagrams of internal forces
- equilibrium in truss systems
- stress and strain (outline and definition)
- construction materials: steel, basic production processes, experimental evidences, notes on safety assessment analysis
- linear elastic behavior: relationships of stress-strain and force-displacements
- straight beam: axial and bending behavior, basic design criteria for trusses and frames
6) Limit analysis for beam frames in bending
7) Complements
- cables and arches
- shear stress: Zhuravskii formula
- notes on structural stability: Euler's critical load and column design

Core Documentation

1) Comi, Corradi Dell'Acqua. Introduzione alla meccanica delle strutture. McGraw-Hill.
2) Bernardini. Statica. Un'introduzione alla meccanica delle strutture. Città-Studi Edizioni.


Reference Bibliography

Stephen Timoshenko. History of The Strength of Materials. McGraw-Hill Book Company. Keith D. Hjelmstad. Fundamentals of Structural Mechanics. Springer. Cueto E., González D. An Introduction to Structural Mechanics for Architects. Springer

Type of delivery of the course

The course is taught by lectures and practical exercises. Teaching bases on regular interaction between teacher and students. Guided practice and intermediate practice tests are scheduled during the duration of the course. Experimental tests in Lab can be provided by appointment only. If the University will extend measures adopted for COVID-19 health emergency, guidance for remote studies and assessment will be implemented. In particular, lectures will be held online through MicroSoft TEAMS, according to details that will be given during the semester.

Attendance

Students are strongly encouraged to attend to their class for both theory and practice. According to the Degree programme teaching regulation, at least 75% of attendance needs to take the final examination during the current academic year.

Type of evaluation

Final assessment is both oral and written. Students who will attend lectures successfully, and then pass (at least two) intermediate examinations during the course, can access to the final interview directly. The final exam score is not affected by the grades obtained in the written tests. Written examinations are a 2.5-hour test, involving one exercise of the same level of tests faced during the course. If the University will extend measures adopted for COVID-19 health emergency, guidance for remote studies and assessment will be implemented. In particular, both intermediate and final examinations will be held online through MicroSoft TEAMS, according to details that will be given during the semester.

teacher profile | teaching materials

Programme

ALGEBRA AND VECTOR GEOMETRY (FOLLOW-UP)
FORCE AND MOMENT DISTRIBUTIONS
MECHANICS OF RIGID SYSTEMS IN 2D
- LINEARIZED KINEMATICS
- (INTERNAL AND EXTERNAL) CONSTRAINTS
- EQUILIBRIUM AND REACTION FORCES
- THE PRINCIPLE OF VIRTUAL WORK (PVW)
MECHANICS OF ELASTIC BEAM SYSTEMS IN 2D
- BEAM EQUILIBRIUM EQUATIONS
- EVALUATION AND DIAGRAMS OF INTERNAL FORCES
- EQUILIBRIUM IN TRUSS SYSTEMS
- STRESS AND STRAIN (OUTLINE AND DEFINITION)
- CONSTRUCTION MATERIALS: STEEL, BASIC PRODUCTION PROCESSES, EXPERIMENTAL EVIDENCES (TENSILE TEST), NOTES ON SAFETY ASSESSMENT ANALYSIS
- LINEAR ELASTIC BEHAVIOR: RELATIONSHIPS OF STRESS-STRAIN AND FORCE-DISPLACEMENTS
- STRAIGHT BEAM:
- AXIAL AND BENDING BEHAVIOR
- BASIC DESIGN CRITERIA FOR TRUSSES AND FRAMES
- INTERNAL WORK AND PVW
COMPLEMENTS
- STATICALLY INDETERMINATE BEAMS
- SHEAR STRESS: JOURAWSKI FORMULA
- NOTES ON THE ELASTIC-PLASTIC BEHAVIOR
- NOTES ON STRUCTURAL STABILITY: EULERIAN CRITICAL LOAD AND COLUMN DESIGN


Core Documentation

1)COMI, CORRADI DELL'ACQUA. `INTRODUZIONE ALLA MECCANICA DELLE
STRUTTURE'. MCGRAW-HILL.
2) DAVIDE BERNARDINI. 'STATICA. UN'INTRODUZIONE ALLA MECCANICA
DELLE STRUTTURE'. CITTÀ STUDI EDIZIONI.


Reference Bibliography

Stephen Timoshenko. "History of The Strength of Materials". McGraw-Hill Book Company. Edoardo Benvenuto. "La scienza delle costruzioni e il suo sviluppo storico". Storia e Letteratura Editore. Leone Corradi Dell'Acqua. "Meccanica delle Strutture". McGraw-Hill Education. Daniel L. Schodeck. "Strutture". Pàtron Editore. Emilio Turco, et al. "Scienza delle costruzioni". McGraw-Hill Education. Luigi Gambarotta, et al. "Scienza delle costruzioni". McGraw-Hill Education. Angelo Luongo, Achille Paolone. "Scienza delle costruzioni". Casa Editrice Ambrosiana. Zanichelli distribuzione.

Type of delivery of the course

The course is taught by lectures and practical exercises. Teaching bases on regular interaction between teacher and students. Guided practice and intermediate practice tests are scheduled during the duration of the course. Experimental tests in Lab can be provided by appointment only. In the case of an extension of the health emergency from COVID-19, all the provisions that regulate the methods of carrying out the teaching activities and student assessment will be implemented.

Attendance

Students are strongly encouraged to attend to their class for both theory and practice.

Type of evaluation

Final assessment is both oral and written. Students who will attend lectures successfully, and then pass (at least two) intermediate examinations during the course, can access to the final interview directly. The final exam score is not affected by the grades obtained in the written tests. Written examinations are a 3 hour test, involving one exercise of the same level of tests faced during the course. In case of an extension of the health emergency from COVID-19, all the provisions that regulate the methods of carrying out the teaching activities and student assessment will be implemented.