Course - Finite Element Methods in Strength Analysis - TKT4192
TKT4192 - Finite Element Methods in Strength Analysis
About
Examination arrangement
Examination arrangement: Written examination
Grade: Letters
Evaluation | Weighting | Duration | Grade deviation | Examination aids |
---|---|---|---|---|
Written examination | 100/100 | 4 timer |
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, and results control. An introduction in using Abaqus for simple two- and three-dimensional structures 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 disc, 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:
- The concept of stress and strain
- The principle of virtual work and minimum potential energy
- Establishment of interpolation polynomials for various elements types
- Requirements for convergence and accuracy
- Use of natural coordinates and area coordinates for isoparametricl elements
- Establishment of stiffness relationship for the Co-elements including Co plate elements
- Establishment of stiffness relationship for C1-elements
- Numerical integration of stiffness matrix and load vector
- Calculation of stresses and strains in the element.
Skills:
The candidate is able to:
- Use the virtual work to the formal derivation of the element stiffness relation
- Calculate the stiffness matrix and load vector for the 1D elements in detail
- Calculate the load vector for the plane elements
- Establish interpolation polynomials according to the zero-line method
- Transform displacements, stresses and strains
- Use generalized displacements
- Build up the structure stiffness relation from the elements' stiffness relations
- Use the computer program Abaqus to solve simple linear strength problems.
General competence:
The candidate master:
- The general basis for the displacement-based finite element method
- The computational scheme in linear element calculations
- The awareness of poor accuracy of poort element geometry
- The necessary scepticism of results from finite element calculations.
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
Recommended previous knowledge
TKT4180 Structural Mechanics - Computational Methods or similar.
Course materials
R.D. Cook, D.S. Malkus, M.E. Plesha, R.J. Witt: Concepts and Application of Finite Element Analysis, 4th ed., Wiley, 2002.
Lecture notes.
No
Version: 1
Credits:
7.5 SP
Study level: Second degree level
Term no.: 1
Teaching semester: AUTUMN 2014
Language of instruction: English
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- Structural Mechanics
- Structural Engineering
- Mechanics
Department with academic responsibility
Department of Structural Engineering
Examination
Examination arrangement: Written examination
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Autumn ORD Written examination 100/100 2014-12-11 09:00
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Room Building Number of candidates
Examination arrangement: Oral examination
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Summer KONT Oral examination 100/100 2015-08-08
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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"