This is the study programme for 2019/2020. It is subject to change.
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).
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 twodimensional structures. Furthermore, with the use of finite element computer programs, the students will acquire skills in solution of mechanical and structural engineering problems.
Contents
Main topics of the course include: An Overview of the Finite Element Method Mathematical Background Linear Spring ElementsBar Elements Trusses Beams Frames The principle of Minimum Potential Energy for 1D Elements Elasticity equations for 2D and 3D solids The principle of Minimum Potential Energy for 2D and 3D elements Finite Element modelling of Heat Transfer
Required prerequisite knowledge
BYG140 Structural Mechanics 1
Recommended previous knowledge
FYS100 Physics, MAT200 Mathematical Methods 2
Exam

Weight 
Duration 
Marks 
Aid 
Written exam and project  1/1  4 hours  A  F  Valid calculator.

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.
The lecturer will set the final grade
Coursework requirements
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
Course teacher(s)
 Course teacher
 Adugna Deressa Akessa
 Course coordinator
 Dimitrios Pavlou
 Head of Department
 Tor Henning Hemmingsen
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.
Overlapping courses
Course 
Reduction (SP) 
Finite Element Methods (BIM140_1) 
5 
Open to
Bachelor in Mechanical and Structural Engineering at the Faculty of Science and Technology.
Course assessment
Literature
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.
This is the study programme for 2019/2020. It is subject to change.
Sist oppdatert: 23.08.2019