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Steel Structures III

Course Description:

This course refers to stability of steel structures. Critical loads and buckling lengths of compressed elements as also critical moments of bending beams are calculated. The influence of initial defections and residual stresses is examined. The influence of bending loads on the behavior of beam-columns (parts of frames or simple elements), is investigated. The impact of shear deformation on built-up columns is determined. Theoretical results are combined with EC3 regulatory provisions.

Prerequisite Knowledge

Fundamental mathematics ,mechanics, statics and steel structures

Course Units

# Title Description Hours
1 Introduction. Higher order differential equation for columns. Types of stability. Linear column theory. Calculation of critical loads and corresponding effective lengths. The influence of elastic supports on the critical load. Application examples. 6
2 Framed columns Critical loads of frames and effective lengths of columns using neutral equilibrium. Application examples. 3
3 Beam columns The influence of the axial compressive loading on beam-columns’ behavior subjected to lateral loads. Application examples. 3
4 Slope deflection method for frames with axially compressed members Slope deflection equations in frames with simultaneously bending and axially compressed members. Application examples. 6
5 Influence of initial imperfection on buckling Differential equation of equilibrium for members with imperfections (eccentrically axial loading, initially bent columns). Application examples. 3
6 Residual stresses of steel members The influence of initial residual stresses on buckling behavior of columns. 3
7 Code provisions for compressed members Theoretical results are combined with regulatory provisions of EC3. Application examples. 3
8 Lateral buckling of beams. Differential equations of bending beams in the deformed state of equilibrium. Calculation of critical moments. Theoretical results are combined with regulatory provisions of EC3 6
9 Built-up Columns The influence of shear deformation in the resistance capacity of a built-up column is studied. Theoretical results are combined with the regulatory provisions of EC3.Examples of built-up columns are examined using EC3 specifications. 6

Learning Objectives

Upon the successful completion of the course, the students will be able to:

  1. Calculate critical loads and effective lengths of axially compressed, members.
  2. Estimate the influence of geometrical imperfections, residual stresses and shear deformation, on the resistance capacity of axially compressed members.
  3. Understand the relation between theory of buckling and lateral buckling with the regulatory provisions of EC3
  4. To apply the EC3 procedure for buckling of built-up columns.

Teaching Methods

Teaching methods - In-class lectures. - Solution of simple examples and case studies in class.
Teaching media PowerPoint presentations Additional material presented on the black board.
Laboratories Experiment of buckling and lateral buckling.
Computer and software use Any student can use commercial software library as mathematica or matlab.
Problems - Applications Yes
Assignments (projects, reports) Homework after each lesson.

Student Assessment

  • Final written exam: 75%
  • Problems - Applications: 25%

Textbooks - Bibliography

  • A. Kounadis, Linear Theory of Elastic Stability, 1997
  • A. Kounadis, Steel structures Behavior and Analysis, vol. II, 1991
  • I. Vayas, I. Ermopoulos, G. Ioannidis, Design of steel structures, 2011
  • Bazant and Cedolin, Stability of Structures, 2003

Lecture Time - Place:

  • Tuesday, 09:45 – 12:30,
    Rooms:
    • Ζ. Κτ. 1 Πολ., Αιθ. 15