Laboratory of computational mechanics

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The module exposes the students to methods and numerical tools for calculations of structures made of bars and beams, such as trusses and frames, and provides an introduction to basic finite element analysis for static analyses.

Lesson hours:

24

Practice hours:

-

Propaedeuticities:

-

Credits:

3

Types of examinations:

The final assessment will be written along with an oral discussion about the project developed during the course

Teacher:

-

Objectives:

Comprehension and critical usage of methods and techniques for the analysis of behaviour and strength of solids and structures.

Contents:

[0.5 CFU] Introduction to MATLAB.

[0.5 CFU] Truss structures: Total potential energy. Truss element. Finite Element Analysis of truss structures.

[2 CFU] Framed structures: Extension of the Euler-Bernoulli beam model to 3D structures. Strong form as a stationary point of the total potential energy. Weak form. Shape functions. Interpolation of nodal displacements. Basic concepts for the formulation of a beam element. The beam element in its local reference. Local to global reference transformations. Equilibrium of framed structures. Extension of basic beam element. Internal releases. Change of reference and kinematic conditions on degrees of freedom. Linear static analysis of frames.

Teaching materials:

  1. Huges, The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Dover Pubns, 2000
  2. C. Zienkiewicz, R. L Taylor, J.Z. Zhu, The Finite Element Method: Its Basis and Fundamentals, Butterworth-Heinemann, 7° ed., 2013