101-0158-01L  Method of Finite Elements I

SemesterFrühjahrssemester 2022
DozierendeE. Chatzi, P. Steffen
Periodizitätjährlich wiederkehrende Veranstaltung


101-0158-01 GMethod of Finite Elements I3 Std.
Mo12:45-13:30HCI J 4 »
13:45-15:30HCI J 4 »
E. Chatzi, P. Steffen


KurzbeschreibungThe course introduces students to the fundamental concepts of the Method of Finite Elements, including element formulations, numerical solution procedures and modelling details. We aim to equip students with the ability to code algorithms (based on Python) for the solution of practical problems of structural analysis.
DISCLAIMER: the course is not an introduction to commercial software.
LernzielThe Direct Stiffness Method is revisited and the basic principles of Matrix Structural Analysis are overviewed.
The basic theoretical concepts of the Method of Finite Elements are imparted and perspectives for problem solving procedures are provided.
Linear finite element models for truss and continuum elements are introduced and their application for structural elements is demonstrated.
The Method of Finite Elements is implemented on practical problems through accompanying demonstrations and assignments.
Inhalt1) Introductory Concepts
Matrices and linear algebra - short review.

2) The Direct Stiffness Method
Demos and exercises in Python

3) Formulation of the Method of Finite Elements.
- The Principle of Virtual Work
- Isoparametric formulations
- 1D Elements (truss, beam)
- 2D Elements (plane stress/strain)
Demos and exercises in Python

4) Practical application of the Method of Finite Elements.
- Practical Considerations
- Results Interpretation
- Exercises, where structural case studies are modelled and analyzed
SkriptThe lecture notes are in the form of slides, available online from the course webpage:
LiteraturStructural Analysis with the Finite Element Method: Linear Statics, Vol. 1 & Vol. 2 by Eugenio Onate (available online via the ETH Library)

Supplemental Reading
Bathe, K.J., Finite Element Procedures, Prentice Hall, 1996.
Voraussetzungen / BesonderesPrior basic knowledge of Python is necessary.


Information zur Leistungskontrolle (gültig bis die Lerneinheit neu gelesen wird)
Leistungskontrolle als Semesterkurs
ECTS Kreditpunkte5 KP
PrüfendeE. Chatzi, P. Steffen
RepetitionEs wird ein Repetitionstermin in den ersten zwei Wochen des unmittelbar nachfolgenden Semesters angeboten.
Prüfungsmodusschriftlich 120 Minuten
Zusatzinformation zum PrüfungsmodusThe final grade comes by 45% from a compulsory continuous performance assessment task (i.e. 3 graded Homeworks (15% each)) and by 55% by a written computer- based examination, which will be on the last day of the course. The compulsory continuous performance assessment task need not be passed on its own; it is awarded a grade which counts proportionally towards the total course unit grade.
Hilfsmittel schriftlichTwo pages of personal notes (one sheet filled out front and back, or two individual sheets filled out only on the front side). These might include sketches, diagrams, or text that has been personally created and no templates/copies/screenshots of material. The summary can be created by any means (e.g., a pen, pencil, typed content in Microsoft Word etc.) but it has to be printed for the exam.
Online-PrüfungDie Prüfung kann am Computer stattfinden.
FernprüfungDas Ablegen als Fernprüfung ist nicht möglich.


HauptlinkCourse Webpage
Es werden nur die öffentlichen Lernmaterialien aufgeführt.


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