Learning Goals

Aim of the course is the complete knowledge about the behaviour of solids, beams and frames however loaded. The student must be able to well understand and to solve all kind of problems related to these topics.

Prerequisites

All the knowledge related to studyng all the topics of the first year of the Under-Degree course in "Ingegneria Civile e dei Sistemi Edilizi".

Course Syllabus

Static analysis of the three-dimensional continuum. The concept of stress. Equilibrium equations for the three-dimensional continuum. Principal stresses. Mohr circles. Cinematic analysis of the three-dimensional continuum. The concept of strain. Compatibility equations. Work theorems. Elastic dominium criteria. Methods for the evaluation of the displacements of loaded beam systems. Axial and bending differential equations governing a mono-axial beam. The method of Mohr analogy. The unitary force method. Statically undetermined systems. Force approach. Displacement approach for statically undetermined for frames with axially deformable beams. Displacement approach for frames with axially rigid beams: fixed node systems and moving node systems. Displacement approach for regular frames. Force and displacement approaches for the trusses.