Students should ndestand stresses, deformations and displacements as the crucial properties for the design of beams as well as the mechanical relations between these properties. They should be able to calculate and use these quantities for the design of static and overstatic beams subjected to tension, compression, bending, shearing, torsion and combined loading. Students should be able to check and calculated instability of beams. They should be able to apply energetic methods (Castigliano) for the design of beams subjected to tension, compression, bending, shearing, torsion and combined loading.
Course Content (Syllabus)
Introduction to the Thery of Elasticity, normal and shear stresses and strains, displacements, relations between stresses and strains, generalized Hooke's law, static and hyperstatic beam problems in tension / compression, simple and oblique bending (meutral line, interposition), Shearing, calculation of shear stresses, strains, angle at torsion of closed (full, thin-walled, mono- and multi-cell) and open sections, beam stability - buckling, energetic methods, Castigliano theorem.
Theory of Elasticity, Stresses, Strains, Beam Theory, Tension, Compression, Bending, Torsion, Buckling, Energetic Methods