Università Roma Tre

• Mechanical properties of construction materials: metals and steels, concrete, masonry, wood, composite
• Fundamentals of solid mechanics and beam theory: il continuo di Cauchy, the Saint Venant beam, the Timoshenko beam
• Analysis of beam structures: compatibility and equilibrium approaches, fundamentals of numerical analysis of structures, practice on structural analysis software
• Conception and behaviour of simple structural types: beams, continuous beams, frames, trusses, arches and ropes

Reference textbooks (free choice of one, or other classical textbookx, such as e.g. Timoshenko "Strength of Materials"):
- A. Samuelli Ferretti “Lezioni, Complementi ed Esercizi di Scienza delle Costruzioni”, Edizioni Ingegneria 2000
- O. Belluzzi SCIENZA DELLE COSTRUZIONI, Edizioni Zanichelli
- E. Viola SCIENZA DELLE COSTRUZIONI, Pitagora Editrice

1. Introductory lessons
Three structural design problems: a) how to overpass a large span; b) how to design a structural overhang; c) the structure of a multi-storey building;

2. Preliminary remarks.
Mechanical quantities and dimensional analysis. The international system of units. The equations of statics of rigid bodies. The principle of constraint section forces. Static and kinematic characterization of perfect constrains in 2D. Statically determinate systems and calculations of the reaction forces. Deformable bodies: internal forces. Definition of internal forces in Bernoulli beam. Bernoulli beam balance equations. Singular forces and geometric singularities. Three dimensional deformable bodies: the Cauchy's 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. Fiber beam model: centered normal stress and bending moment.

3. Between Structural Mechanics and Structural Design.
Concept of the area of influence of a beam and a pillar. First dimensioning resistance of a beam and a pillar. Check in deformabilita of a shelf. Cantilevers with variable section. Calculation of displacements in isostatic structure: integration of flexural bending function. 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. The upwind structures: 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 funicolarity. Arch thrust and thrust elimination methods.

4. Lessons of the software SAP2000 for modeling and analysis of the structures presented in the course.

Teaching support.
All lectures were recorded and are found on the youtube channel "portale meccanica"
The course notes are found on the didactic web site http: design.rootiers.it/strutture

• Mechanical properties of construction materials: metals and steels, concrete, masonry, wood, composite
• Fundamentals of solid mechanics and beam theory: il continuo di Cauchy, the Saint Venant beam, the Timoshenko beam
• Analysis of beam structures: compatibility and equilibrium approaches, fundamentals of numerical analysis of structures, practice on structural analysis software
• Conception and behaviour of simple structural types: beams, continuous beams, frames, trusses, arches and ropes

Reference textbooks (free choice of one, or other classical textbookx, such as e.g. Timoshenko "Strength of Materials"):
- A. Samuelli Ferretti “Lezioni, Complementi ed Esercizi di Scienza delle Costruzioni”, Edizioni Ingegneria 2000
- O. Belluzzi SCIENZA DELLE COSTRUZIONI, Edizioni Zanichelli
- E. Viola SCIENZA DELLE COSTRUZIONI, Pitagora Editrice

Classification of soil and rocks; Effective stress principle; deformability and strenght of soils; In site measurements of deformability and strength; Basics on foundation systems.

Course handouts