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Course Sheet Academic Year of enrolment:
Professor and Collaborators:
Hours of classroom activity:
Prerequisites:
Basic notions of physics. Elementary calculation. Notion of derivative ed
integral and their geometric meaning. Functions and function graphs.
Objectives
Contents Basic problems of Structural Mechanics made up with
one-dimensional beam elements.
Both displacement and constraints are defined. The balance is defined, the constraint reactions are determined and
the the Stress characteristics are plotted in properly defined diagrams in beam structures and reticular structures.
Extended Syllabus Force systems and cardinal equations of statics
- Notion of force and moment of a force
- Invariantive operations
- Reduction of force systems
- The funicular polygon
- Equivalence between force systems
- Postulates of statics and cardinal equations
The flat rigid beam
- Concept of beam
- Movement and degrees of freedom
- Constraints: static and kinematic performances
- Static / kinematic analysis of the bound beam
- Graphical / analytical determination of the binding reactions
- Stress characteristics for flat beams
- Convention on the signs of the characteristics of the solicitation
- Undefined equilibrium equations for straight beams
- Tracing of the stress characteristics diagrams
Structures of beams
- Internal constraints: static and kinematic performances
- Open, closed and Gerber structures
- Static analysis of beam systems
- Determination of binding reactions
- Calculation and tracing of stress diagrams.
Kinematic analysis of a beam system. rotation centers, kinematic chains.
Principle of Virtual Work: application for the search for binding reactions.
Reticular structures
- Definition and analysis of isostaticity
- The method of the nodes
- The section or Ritter method
Recommended Bibliography Statica applicata alle costruzioni
L. Boscotrecase, A. Di Tommaso, editore: Patron
Statica piana dei corpi rigidi
Maurizio De Angelis - Luigi Sorrentino - Danilo Capecchi
Teaching Methods Teaching is organized in theoretical lessons and exercises.
Evaluation methods Verification of learning:
The evaluation is based on a written test and an oral exam. There
oral exam usually takes place one week after the written exam. Access to
the oral test who has passed the written test.
Contacts/More Information Attendance is warmly suggested.