To provide basic knowledge of physical-mathematical models suitable for understanding the structural behaviour, with applications to simple cases of mechanical systems in two dimension.
Course topics range from rigid body kinematics and equilibrium to linearized model of deformable beams, by means of the notions of constitutive relationships and internal stress states, leading to the mechanical characterization of both stiffness and strength in beam systems.
Course topics range from rigid body kinematics and equilibrium to linearized model of deformable beams, by means of the notions of constitutive relationships and internal stress states, leading to the mechanical characterization of both stiffness and strength in beam systems.
Canali
scheda docente
materiale didattico
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
2) Bernardini. Statica. Un'introduzione alla meccanica delle strutture. Città-Studi Edizioni.
Programma
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
Testi Adottati
1) Comi, Corradi Dell'Acqua. Introduzione alla meccanica delle strutture. McGraw-Hill.2) Bernardini. Statica. Un'introduzione alla meccanica delle strutture. Città-Studi Edizioni.
Bibliografia Di Riferimento
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.Modalità Erogazione
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.Modalità Frequenza
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.Modalità Valutazione
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.
scheda docente
materiale didattico
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
STRUTTURE'. MCGRAW-HILL.
2) DAVIDE BERNARDINI. 'STATICA. UN'INTRODUZIONE ALLA MECCANICA
DELLE STRUTTURE'. CITTÀ STUDI EDIZIONI.
Programma
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
Testi Adottati
1)COMI, CORRADI DELL'ACQUA. `INTRODUZIONE ALLA MECCANICA DELLESTRUTTURE'. MCGRAW-HILL.
2) DAVIDE BERNARDINI. 'STATICA. UN'INTRODUZIONE ALLA MECCANICA
DELLE STRUTTURE'. CITTÀ STUDI EDIZIONI.
Bibliografia Di Riferimento
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.Modalità Erogazione
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.Modalità Frequenza
Students are strongly encouraged to attend to their class for both theory and practice.Modalità Valutazione
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.