CONSTRUCTION SCIENCE AB
cod. 18253

Academic year 2009/10
2° year of course - Second semester
Professor
Academic discipline
Scienza delle costruzioni (ICAR/08)
Field
Ingegneria civile
Type of training activity
Characterising
81 hours
of face-to-face activities
9 credits
hub:
course unit
in - - -

Learning objectives

Aim <br />
<br />
To present basic concepts and tools for structural design, with reference to statically determinate and indeterminate elastic frames (beam systems).

Prerequisites

<p>Propedeuticities <br />
Analisi A-B, Analisi C, Geometria, Meccanica Razionale.</p>

Course unit content

<p>Geometry of areas. Introduction. Static moment and centroid. Moments of inertia. Laws of transformation. Principal axes and moments of inertia. Mohr’s circle. <br />
<br />
Simple (beams) and complex (frames) structural systems. Plane beams and frames. Problem of structural system equilibrium: kinematic definition of plane constraints; static definition of plane constraints (constraint reactions) and cardinal equations of statics. Framed structures: statically determinate (or isostatic); hypostatic; statically indeterminate (or hyperstatic). Principle of superposition. <br />
<br />
Statically determinate framed structures. Three methods: cardinal equations of statics; auxiliary equations; the principle of virtual work. <br />
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Internal beam reactions. Three methods: direct method; differential method (indefinite equations of equilibrium for plane beams); the principle of virtual work. Diagrams of characteristics of internal beam reactions. <br />
<br />
Particular problems. Closed-frame structures. Plane trusses. Symmetric frames. <br />
<br />
Analysis of stresses (for three-dimensional solids). Stress tensor, equations of Cauchy, law of reciprocity. Principal stress directions, Mohr’s circles. Plane stress condition and Mohr’s circle. Boundary conditions of equivalence and indefinite equations of equilibrium. <br />
<br />
Analysis of strains (for three-dimensional solids). Rigid displacements, strain tensor. Strain components: dilatations and shearing strains. Principal strain directions. Equations of compatibility. <br />
<br />
The theorem of virtual work (for three-dimensional solids). <br />
<br />
Theory of elasticity (for deformable three-dimensional solids). Real work of deformation, elastic material, linear elasticity, homogeneity and isotropy, linear elastic constitutive equations. Real work of deformation: Clapeyron’s theorem; Betti’s theorem. The problem of a linear elastic body: solution uniqueness theorem (or Kirckhoff’s theorem). <br />
<br />
Strength criteria. Criteria by Rankine, Grashof, Tresca, von Mises. <br />
<br />
The problem of De Saint-Venant. Fundamental hypotheses, indefinite equations of equilibrium, elasticity equations and boundary conditions. Centred axial force, flexure (bending moment), biaxial flexure, eccentric axial force, torsion, bending and shearing force. <br />
<br />
Computation of displacements for framed structures. Differential equation of the elastic line; theorem of virtual work for deformable beams; thermal distortions and constraint settlements. <br />
<br />
Statically indeterminate framed structures. Theorem of virtual work: structures subjected to loads, thermal distortions and constraint settlements. <br />
<br />
Instability of elastic equilibrium. Euler’s critical load and free length of deflection; omega method.</p>

Full programme

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Bibliography

Documentation provided by the teacher. <br />
A. CARPINTERI: "Scienza delle Costruzioni", Vol. 1 e 2, Ed. Pitagora, Bologna. <br />
A. CARPINTERI, "Structural Mechanics", E&FN Spon, London. <br />
E. VIOLA: "Esercitazioni di Scienza delle Costruzioni", Ed. Pitagora, Bologna. <br />
M. CAPURSO: "Lezioni di Scienza delle Costruzioni", Ed. Pitagora, Bologna. <br />
V. FRANCIOSI: "Fondamenti di Scienza delle Costruzioni ", Ed. Liguori, Napoli. <br />
A. MACERI: "Scienza delle Costruzioni", Accademica, Roma. <br />
A. CASTIGLIONI, V. PETRINI, C. URBANO: "Esercizi di Scienza delle Costruzioni", Ed. Masson Italia, Milano. <br />

Teaching methods

Form of teaching <br />
Theory supported by exercises. <br />
<br />
Assessment method <br />
Written and oral examination.

Assessment methods and criteria

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Other information

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