CONSTRUCTION SCIENCE I
Learning outcomes of the course unit
Study of isostatic and hyperstatic structures, and introduction to structural safety.
Course contents summary
Introduction: spatial and planar force systems; statics and kinematics of a rigid body and articulated systems; cardinal static equations. Isostatic structures: kinematic analysis and static analysis; calculation of binding reactions and creation of diagrams of internal actions (axial action, shearing, bending moment); application of the principle of virtual work to the calculation of binding reactions and internal actions. Review of area in geometry. Traction and compression: stress and strain status; uniaxial stress-strain diagram. Bending: simple bending (beams subject to constant and variable moment); deviated bending; bending stress. Shearing: Jourawsky’s approximate theory for compact sections and in thin walls. Torsion: torsion of rods (solid and hollow); overview of torsion of rods of any diameter; Bredt’s formula. Hyperstatic structures: calculation of binding reactions, internal reactions and movement through the principle of virtual work in structures one or more times hyperstatic, overview of the elastic line method Continuum mechanics. stress and strain tensors; indefinite equilibrium and at the edge; geometric characterisation of strain tensor components; isotropic linear elastic bond; principal stresses and strains (Mohr circle); overview of internal congruence. Elements of structural safety: elastic limits (resistance criteria for fragile materials and yield for ductile materials); verification of resistance of beam systems; instability of the equilibrium (Euler’s rod).
Comi, Corradi Dell'Acqua, Introduzione alla Meccanica Strutturale McGraw-Hill (2003). Nunziante, Gambarotta, Tralli, Scienza delle Costruzioni, McGraw-Hill (2003). Beer, Johnston, DeWolf,Meccanica dei Solidi-Elementi di Scienza delle Costruzioni, McGraw-Hill (2002)
Theoretical lectures and exercises