The extended program of the Course is as follows:
(1) Theory of elasticity (for deformable three-dimensional solids). Real work of deformation, elastic material, linear elasticity, homogeneity and isotropy, linear elastic constitutive equations. Real work of deformation. The problem of a linear elastic body: solution uniqueness theorem (or Kirckhoff’s theorem).
Exercises
(2) The problem of De Saint-Venant. Fundamental hypotheses, indefinite equations of equilibrium, elasticity equations and boundary conditions. Centred axial force, flexure (bending moment), biaxial flexure, eccentric axial force, torsion, bending and shearing force.
Exercises
(3) Computation of displacements for framed structures. Differential equation of the elastic line; theorem of virtual work for deformable beams; thermal distortions and constraint settlements.
Exercises
(4) Statically indeterminate framed structures. Theorem of virtual work: structures subjected to loads, thermal distortions and constraint settlements.
Exercises
(5) Force-based Method
Exercises
(6) Displacement-based Method
Exercises