Strength of Materials 1

1. Introduction. Sketches. Interior forces, stresses. Diagrams. 2. The fundamental elements of deformable bodies. Geometrical characteristics. 3. The mechanical properties of the materials. The fundamental hypotheses of Strength of Materials. 4. General problem solving methods in Strength of Materials. The centric axial force (tension and compression): stresses, strains and displacements. 5. Bars subjected to axial forces. Particular case studies. 6. Bars and statically undetermined systems subjected to axial forces. 7. The shear force: stress and strains. Practical applications of the shear force: the design of joints. 8. Pure bending: hypotheses, normal stresses. Navier's formula. 9. Simple bending (bending combined with shear force). Shear stresses. Jurawski's formula. The variation of shear stresses along the cross section. 10. The longitudinal shear. The bending-shear center of the cross section. Economical cross sections. 11. The deformed axis of bars under bending. Determining the deformed axis by integration. The Mohr method. 12. Torsion. Bars with circular cross section. The free torsion of bars with rectangular cross section. 13. The free torsion of thin-walled bars with open and closed cross section. 14. The spatial state of stress and strain. The generalized Hooke law. Case study for plan.

To be able to identify the types of simple actions and to establish where they occur in the structural element. To be able to determine the interior forces of structural elements. To be able to draw the diagram for internal forces. To be able to establish the variations of stresses along the cross section. To be able to solve checking, design and bearing capacity problems.