Teaching objectives: This course is intended to enable the student to acquire the fundamentals of the calculation of hyperstatic systems and structures in preparation for structural mechanics
Recommended prior knowledge: RDM1, RDM2.
Content of the course:
Chapter 1: Calculation of hyperstatic beams - continuous beams (6 weeks)
Three-moment method - general - continuous beams - three-moment equation, Focus method - influence coefficients.
Chapter 1. Lines of influence of hyperstatic structures (3 weeks)
Generalities; fixed load; moving load; line of influence of support reactions - shear force and bending moment; case of a convoy; Barré's theorem; application to hyperstatic beams.
Chapter 3: Hyperstatic Plane Systems (6 weeks)
General - hyperstaticity - Method of forces - Menabréa's theorem; Method of displacements - classification of frames - stresses in bars - calculation of frames with fixed and displaceable nodes; Hyperstatic lattices.
Assessment: Continuous assessment: 40%; Examination: 60%.
References:
1. M. Kerguignas& G. Caignaert, "Résistance des matériaux", Ed. Dunod Université.
2. S. Timoshenko, "Résistance des matériaux", Ed. Dunod, 1986.
3. L. Aleinik& J. Durler, "Résistance des matériaux", Ed. SpesDunod.
4. W. Nash, "Résistance des matériaux 1", Ed. McGraw-Hill, 1974.
5. I. Mirolioubov et coll, "Problèmes de résistance des matériaux", Editions de Moscou.
6. F. Beer," Mécanique à l’usage des ingénieurs – statique", McGraw-Hill, 1981.
7. P. Stepine, "Résistance des matériaux", Editions MIR ; Moscou, 1986.
- معلم: abdelhakim KACI