Description
The course is expected to provide the student a strong knowledge on the characterization of stress and strain states on solid bodies subjected to applied forces. The concepts of stress vector, stress and infinitesimal strain tensors are introduced, together with their dependencies on the referential used. Stress and strain invariants and methods to obtain principal stresses and strains are also taught.
The general stress-strain behavior for brittle and for ductile materials is taught, together with a more detailed analysis of this behavior for mild steel. Stress-strain relations are presented for materials with linear elastic behavior.
Two methodologies to obtain stresses and strains on general solids with applied loads are referred. First, the beam theory is introduced and its range of applicability specified. Equations for the determination of stresses, strains and displacements are deduced for the cases of beams subjected to axial loads and also torques. Secondly, for cases with more complex geometries, that cannot be properly analyzed with beam theory, a quick reference to the finite element method is made and a small problem is solved in the course work.