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 2021-2022

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

Litteratur

Pensumlisten finner du i Leganto

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

After the completion of the course, the students will have sufficient knowledge and basic understanding of the finite element method. They will be able to solve basic problems of trusses, frames and two-dimensional structures. Furthermore, with the use of finite element computer programs, the students will acquire skills in solution of mechanical and structural engineering problems.

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
Home exam 7/10 4 Hours Letter grades Inspera assessment 26.11.2021 —
Project work 3/10 Letter grades — 01.10.2021 —


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.

No resit or deferred exam is arranged for the project work. If a student fails the project work, she/he will have to take this part again the next time the subject is lectured.

Vilkår for å gå opp til eksamen/vurdering

Compulsory assignments, Compulsory assignments

To take exam in this course, 6 out of in total 7 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

Bachelor in Mechanical and Structural Engineering at the Faculty of Science and Technology.

Emneevaluering

Form and/or discussion.

Litteratur

E-book

Essentials of the finite element method : for mechanical and structural engineers Pavlou, Dimitrios G., London, Academic Press, XV, 484 s., 2015, isbn:9780128023860,

E-book

A First Course in the Finite Element Method, SI Edition : Daryl L. Logan : 9781305637344 Logan, D.L., Mason, Cengage Learning, 992, 2018, isbn:9781305637344,

E-book

The Finite Element Method Set [electronic resource]. Zienkiewicz, O. C., Taylor, R.L., Burlington :, Elsevier Science, 1 online resource (457 p.), 2005., isbn:0-08-053167-9; 9786612381348; 1-282-38134-2; 9780080531670, https://bibsys-ur.userservices.exlibrisgroup.com/view/uresolver/47BIBSYS_UBIS/openurl?ctx_enc=info:ofi/enc:UTF-8&ctx_id=10_1&ctx_tim=2019-11-25T12:40:32IST&ctx_ver=Z39.88-2004&url_ctx_fmt=info:ofi/fmt:kev:mtx:ctx&url_ver=Z39.88-2004&rfr_id=info:sid/primo.exlibrisgroup.com-BIBSYS_ILS&req_id=&rft_dat=ie=47BIBSYS_UBIS:5159745780002208,ie=47BIBSYS_UBB:51128156410002207,ie=47BIBSYS_UBTO:51117146710002205,ie=47BIBSYS_UBIN:5147752640002211,ie=47BIBSYS_NB:51247480580002202,ie=47BIBSYS_NTNU_UB:51164558920002203,ie=47BIBSYS_HIB:5133853610002221,ie=47BIBSYS_HVO:5138254090002220,ie=47BIBSYS_HIO:5166066430002218,ie=47BIBSYS_HIT:5145785490002210,ie=47BIBSYS_HIOA:5160350840002212,ie=47BIBSYS_HIM:5134028690002223,ie=47BIBSYS_HH:5144722450002214,ie=47BIBSYS_BI:5171424940002215,ie=47BIBSYS_NETWORK:71521699040002201,language=eng,view=UBIS&svc_dat=viewit&u.ignore_date_coverage=true&user_ip=10.16.56.128&req.skin=primoView online

Book

An introduction to the finite element method Reddy, J.N., Boston, McGraw-Hill Higher Education, XVI, 766 s., c2006, isbn:0072466855,

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