Course teached as: B028611 - ANALISI DELLE STRUTTURE 3-years First Cycle Degree (DM 270/04) in CIVIL, BUILDING AND ENVIRONMENTAL ENGINEERING Curriculum CIVILE
Teaching Language
Italian
Course Content
Solution procedures for plane structural systems made of beams and trusses (hypostatic, statically-determinate, statically-indeterminate structures).
E. Viola, “Esercitazioni di Scienza delle Costruzioni”, Pitagora ed. (in Italian)
Learning Objectives
Provide the main tools to analyze a structural system made of beams and/or trusses, and to determine internal stresses, deformations, displacements and rotations of notable sections.
Prerequisites
Theory of beams from the course of “Structural mechanics”
Teaching Methods
Class lessons and exercises
Type of Assessment
Oral examination
Course program
Recall of the theory from the course of “Structural mechanics”
- Hypostatic, statically-determinate and statically-indeterminate structures; theorems of kinematics for a multibody system (Chasles’ theorems). External and internal indeterminate structures.
- Plots of the internal stresses for beams and trusses. Restraints reactions.
- Axial and polar symmetry.
- Axial and transversal displacements of a beam: differential equations, essential and natural boundary conditions.
- Elastic and non-elastic displacements of restrained sections. Elastic and thermal deformations. Thermal elongation and curvature.
- Use of Virtual Works Principle to determine displacements and rotations of notable sections.
The equilibrium (stiffness) method
- Effects of shear deformation on the transversal displacements of a beam; criteria for evaluating when shear displacements are negligible with respect to flexural ones
- Rotational stiffness of some elementary static schemes
- Translational stiffness of some elementary static schemes
- Introduction to the equilibrium (stiffness) method; independent displacements; solution with restrained nodal displacements
- Unknown displacements unnecessary for defining the deformed configuration (dependent displacements)
- Introduction and definition of the stiffness matrix and its properties
- Solution of structures with multiple degree of independent displacements
Introduction to the consistent deformations (flexibility) method
- Application of Virtual Works Principle for the calculation of displacements. Systems 0, 1, 2, etc
- Mueller-Breslau coefficients; Calculation of stresses, deformations and displacements of hyperstatic structures
- Effects of imposed restrains movements thermal variations on hyperstatic structures
Introduction to the finite element method for structural analysis
Sustainable Development Goals 2030
For some of covered aspects, the course content can be traced back to SDG 11 (Sustainable Cities and Communities)