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101-0158-01L 4 Credits MSC D-BAUG
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Method of Finite Elements I

Lecturers & Examiners: Dr. Patrick Steffen, Prof. Dr. Eleni Chatzi
VVZ CR n/a

Last Updated: 2026-02-05 15:42:18

Abstract

This course will introduce students to the fundamental concepts of the widely established Method of Finite Elements including element formulations, numerical solution procedures and modelling details. The course will also equip students with the ability to code algorithms (largely based on MATLAB) for the solution of practical problems in Infrastructure and Civil engineering.

Objective

The 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.

Content

1) Introductory Concepts Matrices and linear algebra - short review. 2) The Direct Stiffness Method Demos and exercises in MATLAB & Commercial FE software 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 MATLAB & Commercial FE software 4) Practical application of the Method of Finite Elements. - Practical Considerations - Results Interpretation - Final Project where a Real Test Case is modelled and analyzed

Resources

Lecture Notes

The lecture notes are in the form of slides, available online from the course webpage

Literature

Structural 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.

General Information

Language
English
Levels
MSC
Frequency
Yearly recurring

Examination

Type
graded semester performance
The final grade comes by 45% from 3 graded Homeworks (15% each) and by 55% by a written examination, which will be on the last day of the course.

Course Components

Type Title Time & Place Hours
lecture with exercise Method of Finite Elements I
  • Mon 12:45-14:30 (HIL E 10.1)
  • Mon 12:45-14:30 (HIL E 15.2)
  • Mon 13:00-15:00 (ER SA TZ)
2 h weekly

Offered In