1. Introduction. Fundamental elements in the study of the deformable body. Classification of the strength elements. Necessary schematization: loads and supports. Displacements and strains. Internal forces: stresses and internal actions.
2. Fundamental principles in solving the problems of Strength of Materials. Diagrams of the internal actions in the case of straight bars. Differential relationships between the internal actions and loads.
3. Mechanical properties of the materials. Stretching test for the steel. Strain–stress diagram for ductile materials. Brittle materials. The behavior of the materials when subject to other actions.
4. Basic assumptions in Strength of Materials. Methods of calculation. Problems of Strength of Materials.
5. Axial action: strains and stresses. Strength condition and particularization of the problems of Strength of Materials (verification/design/bearing capacity). Account for dead weight.
6. Statically indeterminate structures subject to axial loads.
7. Shear. The duality of the shear stresses. Riveted/bolted joints. Welded joints.
8. Pure bending. Navier’s formula.
9. Simple bending: prismatic bars with symmetrical cross-section. Jurawsky’s formula. Strength calculation of the beams.
10. Bending of non-symmetrical cross-sections. The shear center. Longitudinal shearing force.
11. Bending deformations: strains and displacements. The differential equation of the deformed axis. Direct integration. Method of the conjugate beam.
12. Free torsion of circular and ring-shaped bars. Rectangular cross-section. Thin-walled open and hollow sections.
13. State of stresses in 3-D. Principal stresses and directions. Extreme shear stresses. State of strains in space. Generalization of Hooke’s law.
14. Plane state of stresses. Particularization for bars.
