Buckling of Tapered Bars Under Stepped Axial Loads

Ermopoulos, John

doi:10.1061/(asce)0733-9445(1986)112:6(1346)

Cited by 44 publications

(15 citation statements)

References 13 publications

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“…Wang et al [31] gave exact solutions for buckling of structural members for various cases of columns, beams, arches, rings, plates and shells. Ermopoulos [9] found the solution for buckling of tapered bars, axially compressed by concentrated loads applied at various locations along their axes. Li [18] gave the exact solution for buckling of non-uniform columns under axial concentrated and distributed loading.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Tilt‐buckling of Euler Columns With Varying Flexural Stiffness Using Homotopy Perturbation Method

Coşkun

2010

Mathematical Modelling and Analysis

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Abstract. In this paper, the Homotopy Perturbation Method (HPM), is introduced for elastic stability analysis of tilt-buckled columns with variable flexural stiffness. Buckling loads and corresponding mode shapes are determined considering different types of variations in flexural stiffness of columns. The proposed approach is an efficient technique for the elastic stability analysis of specified problems.

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Section: Introductionmentioning

confidence: 99%

Analysis of Tilt‐buckling of Euler Columns With Varying Flexural Stiffness Using Homotopy Perturbation Method

Coşkun

2010

Mathematical Modelling and Analysis

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“…It is very interesting that, even with a software, one can not easily produce the buckling loads in a sequential order from Eq. (9). In view of this experience, an analytical solution for Eq.…”

Section: Problem Formulationmentioning

confidence: 99%

“…Wang et al [8] have given exact mathematical solutions for buckling of structural members for various cases of columns, beams, arches, rings, plates and shells. Ermopoulos [9] found the solution for buckling of tapered bars axially compressed by concentrated loads applied at various locations along their axes. Li [10] gave the exact solution for buckling of non-uniform columns under axially concentrated and distributed loading.…”

Section: Introductionmentioning

confidence: 99%

Elastic Stability Analysis of Euler Columns Using Analytical Approximate Techniques

Coşkun¹,

Öztürk²

2012

Advances in Computational Stability Analysis

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“…Fraser [4] presented guidelines for the design of portal frames with tapered members, while Mendera [5] proceeded to the buckling strength of such members. Ermopoulos [6][7][8][9] analyzed buckling of tapered bars under bending and axial loading using the slope-deflection method, while Bradford [10] studied tapered beams subjected to unequal endmoments. Recently, Andrade et al [11] presented a onedimensional model for studying the lateral-torsional buckling behavior of singly symmetric web-tapered cantilevers and simply supported thin-walled beams, while Zhang & Tong [12] studied the same problem based on a new theory and the variational principle for buckling analysis.…”

Section: Introductionmentioning

confidence: 99%

Critical Lateral-Torsional Buckling Moments of Steel Web-Tapered I-beams

Raftoyiannis¹,

Adamakos²

2010

TOBCTJ

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This paper deals with the stability of steel web-tapered I-beams subjected to bending loads. Tapered beams can carry a maximum bending moment at a single location while in the rest of the member the moment carrying capacity is considerably lower. This results in appreciable savings in materials as well as in construction. Numerous researchers have focused on the investigation of the elastic behavior of tapered I-beams and many theoretical findings have been incorporated into the current specifications. According to Eurocode 3, the elastic critical moment is used for determining the design strength against lateral-torsional buckling (LTB) of I-beams with uniform cross-section and a number of coefficients is employed accounting for the boundary conditions, the cross-sectional geometry and the type of transverse loading, while no detailed information is given regarding non-uniform members. In this work a simple numerical approach is presented for determining the critical lateral-torsional buckling loads of web-tapered I-beams. Modification factors of the elastic critical moment with reference to the mean cross-section are given for various taper ratios. The results presented in graphical form are compared with those of previous investigations. The approach presented herein can be very easily applied for the design of tapered beams against lateral-torsional buckling.

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Buckling of Tapered Bars Under Stepped Axial Loads

Cited by 44 publications

References 13 publications

Analysis of Tilt‐buckling of Euler Columns With Varying Flexural Stiffness Using Homotopy Perturbation Method

Analysis of Tilt‐buckling of Euler Columns With Varying Flexural Stiffness Using Homotopy Perturbation Method

Elastic Stability Analysis of Euler Columns Using Analytical Approximate Techniques

Critical Lateral-Torsional Buckling Moments of Steel Web-Tapered I-beams

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