In this paper, two types of steel frames, steel frame without side sway permission and another with side sway permission are created in Abaqus with 10 multiple slenderness ratio of the columns by changing the length every time starting from 1 M and ending with 10 M length of the columns, Twenty models of steel frames with single story and single bay were created, the models are with the same 2D dimensions and material properties, the cross section of the steel is (0.5*0.5) M ,and the supports are fixed, two equal forces P= 1000 N are exerted on the frames in the position mentioned in fig 6, a beam section was defined for the frame integrated before analysis with Young modulus of elasticity E=1*107 N/M2 , and shear modulus G = 3.8*106 N/M2 and poisons ratio ν = 0.3.
A linear perturbation step is created for buckling and 10 eigenvalues are requested for analysis, a standard quadratic beam element type is generated with global seeding of 0.6, and 20 Jobs are created for every situation and conclusions have been obtained, the critical buckling loads of the frames fall in the ranges between the Euler loads forms which has been proved for each type of frames and this scientific approach was verified in this research, in addition to that the relation between the length of the column and the eigenvalues that represent the critical loads of buckling verified, and the simulations of the mode shapes of buckling of the steel frames were identified adopting finite element analysis which shows the amount of loads necessary to reach each mode shape of buckling for each type of steel frames mentioned before.
Inhaltsverzeichnis (Table of Contents)
- Introduction to buckling
- Euler's Formula
- Stability concept
- Euler Column
Zielsetzung und Themenschwerpunkte (Objectives and Key Themes)
This paper investigates the buckling critical loads of unbraced steel frames with multiple slenderness ratio configurations using finite element analysis. The primary objective is to determine the critical buckling loads and analyze their relationship to the Euler load forms. Additionally, the research aims to understand the effect of varying column lengths on the eigenvalues representing the critical loads and to visually represent the buckling mode shapes.
- Buckling analysis of steel frames
- Critical buckling load determination
- Relationship between column length and critical loads
- Euler load forms verification
- Visualization of buckling mode shapes
Zusammenfassung der Kapitel (Chapter Summaries)
- Introduction to buckling: This chapter defines the concept of buckling in slender columns subjected to compressive loads and introduces the concept of Euler buckling. It discusses the importance of considering component restraints in buckling studies and highlights the limitations of the Euler solution for short columns.
- Euler's Formula: This section provides a brief overview of the Euler's formula for calculating the critical buckling load, which is the maximum compressive load a column can withstand before buckling. It emphasizes the importance of designing columns to safely support loads and prevent buckling failure.
- Stability concept: This chapter explores the stability of different equilibrium states of a compressed bar using analogies with a ball on different surfaces. It defines the concepts of stable, neutral, and unstable equilibrium and their relation to the critical buckling load.
- Euler Column: This chapter focuses on the idealized Euler column, assuming a constant cross-sectional area, homogeneous material, and specific boundary conditions. It presents four assumptions for the Euler model and introduces the concept of buckling load, which represents the maximum compressive load that the column can withstand before buckling.
Schlüsselwörter (Keywords)
This research focuses on the critical buckling load, Euler column, stiffness matrix, eigenvalues, eigenvectors, finite element analysis, and buckling mode shapes. It investigates the behavior of unbraced steel frames under compressive loads, exploring the relationship between column length and critical buckling loads.
- Arbeit zitieren
- Nazim Nariman (Autor:in), 2013, Finite element analysis of the buckling critical loads in un-braced steel frames with multiple slenderness ratio configurations, München, GRIN Verlag, https://www.hausarbeiten.de/document/262659
