# 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).

Course description for study year 2023-2024

Facts

MSK250

1

10

Autumn

1

Autumn

English

Time table

## 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.

## Required prerequisite knowledge

BYG140 Structural Mechanics 1

## Recommended prerequisites

FYS100 Mechanics, MAT200 Mathematical Methods 2

## Exam

Written exam and project

## Coursework requirements

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

Dimitrios Pavlou

## Course teacher:

Mona Wetrhus Minde

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.

## Open for

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

## Course assessment

There must be an early dialogue between the course coordinator, the student representative and the students. The purpose is feedback from the students for changes and adjustments in the course for the current semester.In addition, a digital course evaluation must be carried out at least every three years. Its purpose is to gather the students experiences with the course.

## Literature

The syllabus can be found in Leganto