ICAR/08 (CONSTRUCTION SCIENCE)
DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE
CIVIL AND ENVIRONMENTAL ENGINEERING
1st semester (27/09/2021 - 21/01/2022)
55 lesson hours
WRITTEN AND ORAL TEST
Knowledge of Analytical Mechanics and of Mechanics of Solids and
Matlab programming basics.
The main goal of this course is the introduction of the finite element method for the solution of frames, along with its Matlab implementation. Moreover, structural instability problems will be introduced and discussed as well.
The aim is to help students in developing the ability to build tools to analyze complex problems related to frames, which cannot be solved in an analytical way.
1) Introduction to the finite element method:
- basics of beam theory;
- direct method for planar frames;
- finite element method basics:
a) axial problem;
b) Euler-Bernoulli bending problem;
c) Timoshenko bending problem;
- finite element method implementation for planar frames;
- shear locking problem:
b) solution via under-integration and implementation.
2) Introduction to structural instability:
- problem introduction;
- instability of lumped elasticity systems;
- numerical solution of nonlinear equations (Newton's method) and application to instability problems;
- Euler's problem;
- solution via the finite element method and implementation.
Blackboard lectures and Matlab-based tutorials.
Reccomended or required readings
- Course notes;
- T.J.R. Hughes, The Finite Element Method: Linear Static and Dynamic
Finite Element Analysis. Dover.
Written examination and possible oral discussion (or oral examination in
special situations identified by the teacher).
Sustainable development goals - Agenda 2030