UNIRSMStudy plan Complements of building science

Complements of building science

Year

3

Semester

1

CFU

9

Teacher

Michele Bacciocchi

Prerequisites

No prerequisites or propaedeutics are required. In any case, students are advised to at least attend the following courses in advance: Mathematical Analysis, Geometry, Rational Mechanics and Construction Science

Aims

The main objective of the course is to provide the student with the theoretical foundations for the study of two-dimensional solids (plates and shells), developing the knowledge acquired during the course of Construction Science. Each structural model is analyzed with the aim of obtaining the indefinite congruence equations, the elastic bond equations and the indefinite equilibrium equations. Part of the course is also devoted to the study of the stability of the elastic equilibrium of discrete systems and continuous systems. Finally, the theory of plasticity is also covered.

Description

  1. Plane stress and strain problems
    Review of the theory of three-dimensional elasticity
    Deformation plane problem
    Stress plane problem
  2. Rectangular plate
    Reissner-Mindlin kinematic hypothesis
    Kirchhoff-Love kinematic hypothesis
  3. Circular plate
    Membrane regime and flexural regime
    Reissner-Mindlin kinematic hypothesis
    Kirchhoff-Love kinematic hypothesis
    Axial-symmetry hypothesis
  4. Cylindrical shells
    Reissner-Mindlin kinematic hypothesis
    Kirchhoff-Love kinematic hypothesis
    Membrane behavior of cylindrical shells
  5. Revolution shells (outline)
    Flexural and membrane regime of shells of revolution
  6. Stability of the elastic equilibrium
    Fundamental definitions and stability criteria
    Discrete systems and continuous systems
  7. Plasticity
    Introduction to the theory of incremental elastic-plasticity
    Limit analysis theorems
    Plasticity of sections for ductile elements

Examination methods

The final exam consists of an oral exam

REFERENCES

  • Erasmo Viola, “Theory of structures. First volume. Stress states and plates”, Pitagora Editrice, Bologna, 2010.
  • Erasmo Viola, “Theory of structures. Second volume. Shells of revolution”, Pitagora Editrice, Bologna, 2010.
  • Leone Corradi Dell'Acqua, "Mechanics of structures", vol. 3, McGraw-Hill, Milan, 1994.
  • Alberto Carpinteri, "Construction science 2", Pitagora Publishing, Bologna, 1992

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