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
At the end of the course the students will be able to:
(1) classify the beam structures;
(2) formulating and solving balance problems;
(3) calculate and diagram the state of internal effort in the beam structures.