MABY4400 Structural Analysis and Design Course description

The course gives the students the necessary fundamental understanding of the principles used in the design of large complex structures. An important goal is to give knowledge and experience of how to use the finite element method (FEM) correctly in design calculations, with emphasis on non-linearities in structural engineering. In particular, the students will gain a deeper understanding of the non-linear behaviour of structural materials, and achieve both theoretical and practical insight. The course covers theories of elastic and elasto-plastic materials, introduces solution methods in non-linear finite element analysis, and contains the following topics: Classification of nonlinearities (geometrical, material and boundary conditions). Introduction of continuum mechanics/Theory of elasticity: Stresses and equilibrium, strains and compatibility, material law. Strain- and stress measures. Plasticity theory (yield criteria, flow law, hardening, effects of strain rate and temperature). Mathematical models for elastic and elastoplastic materials. Solution methods in nonlinear FEA. Constraints and contact. Geometric nonlinear FEA.

Awais Ahmed

When dimensioning large, complicated structures, the Finite Element Method (FEM) is used to calculate stresses and strains in different parts of the structure. The course provides the theoretical basis for the finite element method and describes the different types of elements used in the modeling of frames, beams, discs, plates, shells and massive structures. The course shows how the fundamental linear theory behind the method, combined with numerical calculations, predicts displacements, strains and stresses. The properties of the elements, convergence requirements and modeling errors are also addressed. In the modeling of structures, emphasis is placed on the choice of element types, the application of loads and the introduction of boundary conditions, as well as the verification of the final analysis results.

To give students a deeper understanding of the theory, a project assignment (written project report) is included where some simple structures are analyzed using FEM software.

No formal requirements over and above the admission requirements.

After completing the course, the student is expected to have achieved the following learning outcomes defined in terms of knowledge, skills and general competence:

Knowledge:

The student:

• has in-depth knowledge of the theoretical basis of the finite element method
• has in-depth knowledge of matrices and load vectors
• has advanced knowledge of numerical integration methods and convergence criteria
• has advanced knowledge of the formulation of element types for the modeling of beams, discs, plates, shells and massive (three-dimensional) structures for linear static structural analysis.

Skills:

The student:

• is capable of calculating stiffness matrices and load vectors for elements, understanding stiffness relationships for a structure and assembling the stiffness matrix of a structure based on the stiffness matrices of the individual elements
• is capable of using FEM software to perform linear static analyzes of simple structural systems.

General competence:

The student:

• is familiar with the basis for the finite element method for solving structural problems
• understands the need for and use of the finite element method as an analysis and dimensioning tool
• is familiar with the calculation process involved in the finite element method, and its limitations
• is capable of evaluating the results of finite element method calculations.

The teaching will consist of physical and digital lectures, class and home exercises (maximum 5) building on the theory being taught, and one individual assignment (written project report).

Online lectures will be recorded, and the material will be made available to students on Canvas.

Students must submit at least 80% of all compulsory exercises to be eligible to take the written exam. A maximum of 5 homework assignments, based on the theory being taught, will be given throughout the course. Students who fail to meet the coursework requirements can be given up to one re-submission opportunity before the exam

Type of assessment:

1) Individual written exam (three hours) under supervision, weighted 65%.

2) Project report (individual work, not exceeding 60 pages), weighted 35%.

The project deliverable is a written report which is assessed using a rubric. All assessment parts must be awarded a pass grade (E or better) in order for the student to pass the course.

Assessment parts (1) and (2) may be appealed.

All printed and written aids and a calculator that cannot be used to communicate with others. Computer use (offline) with MS Excel software may be provided during the exam.

Grade scale A - F.

Aase Reyes