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Graduate courses

Departments' graduate courses for PhD-students.


Syllabus for

Academic year
LMU120 - Applied finit element analysis
Syllabus adopted 2020-02-27 by Head of Programme (or corresponding)
Owner: TIMAL
7,5 Credits
Grading: UG - Pass, Fail
Education cycle: First-cycle
Major subject: Mechanical Engineering

Teaching language: English
Application code: 65113
Open for exchange students: Yes
Block schedule: B+
Maximum participants: 50
Only students with the course round in the programme plan

Module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0102 Written and oral assignments 7,5c Grading: UG   7,5c    

In programs

TIMAL MECHANICAL ENGINEERING - Machine Design, Year 3 (compulsory)


Gert Persson

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General entry requirements for bachelor's level (first cycle)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Specific entry requirements

The same as for the programme that owns the course.
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Course specific prerequisites

The courses LMA401 Calculus, MVE580 Linear algebra and differential equations, LMT202 Mechanics, TME255 Strength of materials, MVE355 Programming and numerical methods using Matlab and LMA017 Mathematical analysis in several variables, or corresponding knowledge.


The course aims to provide skills in using the finite element method (FEM) as a computer tool to determine stresses and deformations in mechanical constructions. The course also aims to provide knowledge of basic concepts and some theory in mechanics of materials required for the understanding of the comerrcial finite element (FE) program's structure and critical review of the calculated results. The course also aims to give students an insight into how the FE analysis can be used as a design tool in the future professional role.

Learning outcomes (after completion of the course the student should be able to)

Applying knowledge of how the finite element method (FEM) can be used as an engineering tool for the calculation of stresses and deformations in different mechanical designs.
  • understand that the emphasis of the course is placed on skills FEM modeling and use of a FEM software. Less emphasis is placed on the theoretical background of FIVE.
  • to participate constructively in the discussions on a model's limitations, and a computational application or solution quality.
  • will learn the concepts required to hold discussions on the FE calculation results.
  • able to explain the differences between solids, shells and two-dimensional numerical models.
  • applying knowledge of matrix formulated displacement method, matrix formulated stiffness formulation and one-dimensional bar elements.
  • applying advanced knowledge of multiaxial stress state and calculations of effective stresses.
  • should be well acquainted with the work methodology when linear FE analysis is used as a tool to determine the stresses and deformations in statically loaded structures.
  • must be able to perform analyzes for combined thermal and mechanical loads, using symmetry, modeling the distribution of load and boundary conditions, and to identify and develop a basis for the evaluation of the solution quality.
  • be acquired experience of group work and technical report writing.


This course gives knowledge of how finite element analysis (FEA) may be used as a tool in engineering to determine stress and deformation in different mechanical constructions. Focus is placed on the FE-modeling and the use of the FEA-program CATIA GPS/GAS. The following areas will be treated:

Introduction to a conventional structural matrix displacement method, direct stiffness method, one dimensional bar elements and two dimensional beams. Stress concentrations are numerically investigated and compared to analytical results. Differences in numerical results between solids, shells and two dimensional models are investigated for combined mechanical and thermal loads. Effects of boundary conditions, load distribution and use of symmetry are studied for several different models. Optimization is used and eigenfrequencies are calculated.


Lectures (20 h), computer exercises (28 h), and individual work (152 h), including assignments.


Litterature are assigned at the start of the course.

Misc litterature:
T. Dahlberg, Teknisk hållfasthetslära, 3 uppl, Studentlitteratur, Lund (2001)
S. Alfredsson, Matrisformulerad förskjutningsmetod, komp. HiS.
S. Ekered Övningar i Catia, Kompendiematerial, PPU, Chalmers (2011)
B Sundström, Formelsamling i hållfasthetslära, 2:ed, Hållfasthetslära KTH Stockholm, Fingraf AB Södertälje (1999)

C. Ugural och S. K. Fenster, Advanced Strength and Applied Elasticity, 4ed, Prentice Hall (2003)
O.C. Zienkiewicz & R.L Taylor, The finite element method, 4ed, McGraw-Hill (1989-1991)
S.P. Timoschenko & J.M. Gere, Mechanics of materials, 3ed, Chapman & Hall, London (1991).

Examination including compulsory elements

For approved each exercises and assignments must be correctly completed and approved. The exercises are presented orally and assignments are reported by means of individual submissions. Alternative or complementary forms of examination may occur.
Grades are in scale fail - approved.

Page manager Published: Thu 04 Feb 2021.