# TKT4142 - Finite Element Methods in Structural Engineering

### Examination arrangement

Examination arrangement: School exam

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

### Course content

Mathematical formulation of the finite element method for linearly elastic solids. Element and system analysis. Isoparametric mapping and numerical integration of the stiffness relation. Accuracy and convergence. Bar elements, plane stress and plane strain elements, axisymmetric elements, solid elements, beam and plate elements with shear deformation, thin-plate elements, and simple shell elements. Case studies with Abaqus covering key topics in the course, including modelling, selection of element type and discretization, application of loads and introduction of boundary conditions, as well as accuracy, robustness, and control of results.

### Learning outcome

Knowledge: The candidate shall be able to explain the mathematical basis of the finite element method, the accuracy and convergence properties of isoparametric elements, and how the finite element method can be used in the analysis of elastic bodies.

Skills: The candidate shall be able to carry out strength analysis of components, details, and structures with the finite element method, select the correct element type and mesh size, perform convergence studies, and check the validity of the numerical model.

General competence: The candidate shall be able to explain and critically discuss the use of the finite element method in the analysis of structures, and check, interpret and present results from stress analysis with the finite element method.

Digital competence: Skilled use of finite element program (ABAQUS) for strength analysis of structures: Modeling, linear elastic solids, plane stress and plane strain elements, axisymmetric elements, solid elements, plate elements, shell elements, interpretation of results, accuracy and convergence. Programming with Python: ABAQUS scripting interface.

Sustainability competence: The course serves to give the students appropriate skills to design safe and cost-effective structures.

### Learning methods and activities

Lectures, homework assignments and case studies with Abaqus. 2/3 of the case studies must be approved to be admitted to the exam. Teaching is given in English if students who do not speak Norwegian take the course. If the teaching is given in English, the exam papers are only given in English. The student's answers can be in Norwegian or English.

• Case studies

### Further on evaluation

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

### Course materials

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

### Credit reductions

Course code Reduction From To
TKT4192 7.5 AUTUMN 2023
More on the course

No

Facts

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

Coursework

Term no.: 1
Teaching semester:  AUTUMN 2024

Language of instruction: English

Location: Trondheim

Subject area(s)
• Applied Mechanics - Solid Mechanics
• Structural Engineering
• Structural Mechanics
Contact information
Course coordinator: Lecturer(s):

Department of Structural Engineering

# Examination

#### Examination arrangement: School exam

Term Status code Evaluation Weighting Examination aids Date Time Examination system
Autumn ORD School exam 100/100 2024-11-26 15:00
Summer UTS School exam 100/100
• * 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.
Examination

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