Course

Finite Element Methods, Basics (MSK250)

Vectors, coordinate system transformations, elements of matrix algebra - The principle of direct equilibrium - Element equation of springs and bars - FE analysis of trusses - Element equation of beams - FE analysis of frames - The principle of Minimum Potential Energy for springs, bars and beams - Elasticity equations for 2D and 3D elements - Isoparametric elements - FE analysis of plane stress problems - FE modelling of heat conduction and convection problems - Modeling and analysis using computer algorithms in MATLAB & CALFEM - Modeling and analysis using contemporary commercial software (ANSYS).


Dette er emnebeskrivelsen for studieåret 2015-2016. Merk at det kan komme endringer.

See course description and exam/assesment information for this semester (2024-2025)

Semesters

Fakta

Emnekode

MSK250

Vekting (stp)

10

Semester undervisningsstart

Autumn

Undervisningsspråk

English

Antall semestre

1

Vurderingssemester

Autumn

Timeplan

Vis timeplan

Content

Main topics of the course include: An Overview of the Finite Element Method- Mathematical Background- Linear Spring Elements-Bar Elements- Trusses- Beams- Frames- The principle of Minimum Potential Energy for 1-D Elements- Elasticity equations for 2-D and 3-D solids- The principle of Minimum Potential Energy for 2-D and 3-D elements- Finite Element modelling of Heat Transfer

Learning outcome

Upon finishing this course, the student is expected to have sufficient knowledge about basic principles of the Finite Element Methods and can define simple problems involving bars, beams and trusses for solving using Finite Element Analysis (FEA) tools.

Forkunnskapskrav

Structural Mechanics 1 (BYG140)

Anbefalte forkunnskaper

Mechanics (FYS100), Mathematical Methods 2 (MAT200)

Exam

Form of assessment Weight Duration Marks Aid Exam system Withdrawal deadline Exam date
Written exam and project 1/1 4 Hours Letter grades Valid calculator — 01.11.2015 05.12.2015
Written exam 7/10 4 Hours Letter grades Valid calculator — — —
Project work 3/10 Letter grades — — —


Written exam 4 hours and project work. Written exam is weighted 7/10 and project work 3/10 of total grade. Both parts must be passed to obtain an overall pass in the subject.

Vilkår for å gå opp til eksamen/vurdering

Compulsory assignments

To take exam in this course, 2/3 of the compulsory assignments must have been approved.

Compulsory course attendance that must be completed and approved before access to the laboratory: Electronic Course in Health, Safety and Environment

Fagperson(er)

Head of Department:

Mona Wetrhus Minde

Coordinator laboratory exercises:

Adugna Deressa Akessa

Course coordinator:

Dimitrios Pavlou

Method of work

4 hours lectures pr week. 2 hours exercises and project work for 4 weeks with tutor 2 hours pr week. Compulsory assignments. The project is done as a team work and is graded.

Åpent for

Battery and Energy Engineering - Bachelor in Engineering Civil Engineering - Bachelor in Engineering Computer Science - Bachelor in Engineering Computer Science - Bachelor in Engineering, Part-Time Electrical Engineering - Bachelor's Degree Programme, part-time Electrical Engineering - Bachelor's Degree Programme Energy and Petroleum Engineering, Vocational Path - Bachelor in Engineering Energy and Petroleum Engineering - Bachelor in Engineering Geosciences and Energy Resources - Bachelor in Engineering Environmental Engineering - Bachelor in Engineering Mechanical Engineering - Bachelor in Engineering Medical technology - Bachelor in Engineering Medical Technology - Bachelor in Engineering - part time
Admission to Single Courses at the Faculty of Science and Technology
Structural and Mechanical Engineering - Master of Science Degree Programme. Five Years Marine and Subsea Technology, Master of Science Degree Programme, Five Years
Exchange programme at Faculty of Science and Technology

Emneevaluering

Form and/or discussion

Litteratur

Dimitrios G. Pavlou, Essentials of the Finite Element Method, 2015.

Støttelitteratur: 1.Hirpa Lemu: Introduction to Finite Element Methods (Compendium, INVIVO) 2.Daryl L. Logan, A First Course in the Finite Element Method, Jul 25, 2006. 3.O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method Set, Sixth Ed., 2005. 4.J. N. Reddy, An Introduction to the Finite Element Method (Mcgraw Hill Series in Mechanical Engineering), Jan 11, 2005.

Kontakt

Head of Department:

Mona Wetrhus Minde

Coordinator laboratory exercises:

Adugna Deressa Akessa

Course coordinator:

Dimitrios Pavlou

Tilbys av

Faculty of Science and Technology

Department of Mechanical and Structural Engineering and Materials Science

The course description is retrieved from FS (Felles studentsystem). Version 1