TKT4192 - Finite Element Methods in Strength Analysis


Examination arrangement

Examination arrangement: School exam
Grade: Letter grades

Evaluation Weighting Duration Grade deviation Examination aids
School exam 100/100 4 hours D

Course content

The course gives the theoretical framework for the finite element method, and formulates elements for beams, plates, shells, axisymmetric and three-dimensional structures. Element properties, convergence requirements and modelling errors are discussed. The course emphasizes modelling, choice of element type, discretization, introduction of loads and boundary conditions, accuracy, robustness and results control. An introduction in using Abaqus for two- and three-dimensional structures and typical structural details will be given.

Learning outcome

The course Finite Element Method for strength analysis shows how the basic linear theory behind the method combined with numerical calculations leads to the key variables such as displacements, strains and stresses in various structures, primarily the membrane, plate, shell and solid structures. This course constitutes a necessary basis for the secondary topic Nonlinear Finite Element analysis. The finite element method for strength analysis has the following learning objectives: Knowledge: - Establishment of interpolation polynomials in terms of natural coordinates for isoparametric elements - Requirements for convergence and accuracy - Establishment of stiffness relationship for the C0-elements and C1-elements - Numerical integration of stiffness matrix and load vector - Calculation of stresses and strains in the element - Elements convergence properties and ability to represent various deformational patterns in order to choose proper element type and density of the Finite Element mesh - How elements shape and integration of the stiffness matrix affects the accuracy and convergence properties. Skills: The candidate is able to: - Derive the element stiffness relation - Calculate the stiffness matrix and load vector - Establish interpolation polynomials for C0 Lagrange and Serendipity elements and C1 plate elements - Transform displacements, stresses and strains - Use generalized displacements - Establish and check a Finite Element model - Use the computer program Abaqus to solve linear strength two- and three-dimensional structural problems. General competence: The candidate master: - The general basis for the displacement-based finite element method - The computational scheme in linear element calculations - Understanding of the consequences of the assumptions made in the element types upon accuracy and convergence - Present, interpret and judge whether the Finite Element results are reasonable or not.

Learning methods and activities

Lectures and homework assignments (including analytical and computational problems). 2/3 of the homework assignments must be approved to take the final exam. If there is a re-sit examination, the examination form may be changed from written to oral. The lectures and exercises are in English when students who do not speak Norwegian take the course. If the teaching is given in English the Examination papers will be given in English only. Students are free to choose Norwegian or English for written assessments.

Compulsory assignments

  • Homework assignments

Further on evaluation

If there is a re-sit examination, the examination form may be changed from written to oral.

Specific conditions

Compulsory activities from previous semester may be approved by the department.

Course materials

K. Bell: An engineering approach to finite element analysis of linear structural mechanics problems, Fagbokforlaget, 2013. Lecture notes.

More on the course



Version: 1
Credits:  7.5 SP
Study level: Second degree level


Term no.: 1
Teaching semester:  AUTUMN 2022

Language of instruction: English

Location: Trondheim

Subject area(s)
  • Structural Engineering
  • Structural Mechanics
  • Mechanics
Contact information
Course coordinator:

Department with academic responsibility
Department of Structural Engineering


Examination arrangement: School exam

Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Autumn ORD School exam 100/100 D 2022-12-22 09:00 INSPERA
Room Building Number of candidates
Summer UTS School exam 100/100 D INSPERA
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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