Course Syllabus for

# Structural Stability Stabilitetsteori

## VBK005F, 7.5 credits

Valid from: Autumn 2015
Decided by: FN3 /Per Tunestål
Date of establishment: 2016-03-02

## General Information

Division: Structural Engineering
Course type: Third-cycle course
Teaching language: English

## Aim

Achieving basic understanding of structural stability and apply it to various problems in structural engineering / structural mechanics

## Goals

Knowledge and Understanding

For a passing grade the doctoral student must

• 1. Understand and evaluate the stability phenomenon and understand the fundamental difference between the critical load and design load
• 2. Understand the different types of stability phenomena, flexural, torsional buckling and flexural-torsional buckling
• 3. Understand the difference between I, II and III-order analyses
• 4. Understand and use different methods to calculate the critical load
• 5. Understand the background to the buckling of frames and bows

Competences and Skills

For a passing grade the doctoral student must

• 1. Be able to calculate both critical load and design load
• 2. Be able to identify different types of stability phenomena, flexural, torsional buckling and flexural-torsional buckling
• 3. Be able to calculate the critical load for simple structures according to I, II and III order analysis
• 4. Be able to calculate the buckling load of frames and arches

Judgement and Approach

For a passing grade the doctoral student must

• 1. Be aware of the critical load is a vital parameter to determine the load bearing capacity of a structure
• 2. Be able to apply both exact and approximate methods for estimating the critical load of various types of structures.

## Course Contents

1. Introduction - generally about buckling of bars, lateral torsional buckling and buckling of plates 2. II and III-order theory 3. Energy Method 4. Stability of infinitely rigid struts on elastic foundation 5. Buckling: equilibrium method and energy method 6. Buckling: elastic beams with varying cross section, elastic beams on elastic foundation, etc. 7. Beam columns 8. Derivation of II-orders equations, flexural buckling, torsional buckling and lateral torsional buckling. 9. Buckling of frames 10. Buckling of arches 11. Bracing 12. Discussion

## Course Literature

• Utdelat material.
• Timoshenko, S.P. & Gere, J.M.: Theory of Elastic Stability, 2nd Edition. McGraw-Hill, 1961.
• al, G.: Structural Stability of Steel. 2008.
• Pettersson, O.: Knäckning.

## Instruction Details

Types of instruction: Lectures, exercises, project

## Examination Details

Examination formats: Written report, written assignments, seminars given by participants
Grading scale: Failed, pass
Examiner: