Università Roma Tre

1. Introductory classes
Introduction to structural design:
a) systems with simply or multiple supported spans;
b) systems with structural overhang;
c) the structure of a multi-storey building.

2. Solid mechanics and beam model.
Statically determinate beam systems.
The Cauchy stress.
Introduction to mechanics of materials: steel, wood, reinforced concrete, glass. Characteristics strength and design strength. Basic concepts: elasticity and inelasticity, isotropy and anisotropy, fragility and ductility.
Bernoulli beam model and displacement fields in elastic beams.

3. Between Structural Mechanics and Structural Design.
Loads on structural elements: area of influence of a beam and a pillar.
Preliminary design of beams and a pillars. Stress and displacement analysis of simple beams, design checks. Cantilevers with variable section.
Design of a steel truss in 3D.
Statically indeterminate structures framed resolution methods: integration of the elastic line, force method and stiffness method. Features and benefits of the three methods. Applications of the force method and of the stiffness method. Shear-type frames – Vierendeel beams. Bracing systems: concepts and comparisons. The centre of a system of parallel vectors. The stiffness centre of a braced deck. Grid of beams under bending. Arches: circulars, parabolic. Concept of funicularity. Arch thrust and thrust elimination methods.
Introduction to 3D frames. Center of rigidity. Center of mass.
Introduction to structural dynamics. Resonance. Introduction to modal analysis. Applications to the preliminary design of framed structures.
4. Lessons of the software SAP2000 for modeling and analysis of the structures presented in the course.