An experimental study on out-of-plane inelastic buckling strength of fixed steel arches

Abstract This paper presents an experimental study on the out-of-plane inelastic buckling strength of fixed circular steel arches under symmetric and non-symmetric loading. A test loading arrangement that allows for lateral deflections to develop freely under vertical loading is described. A finite element (FE) model consisting of the tested steel arch and the loading system is established for carrying out supplementary numerical investigation on the inelastic out-of-plane buckling strength of the fixed steel arches. The FE numerical model is validated by the experimental results. From the experimental results and supplementary FE investigation, it is found that the out-of-plane inelastic buckling strength of fixed steel arches is influenced significantly by the magnitude and distribution of initial out-of-plane geometric imperfections, as well as the out-of-plane elastic buckling modes and the in-plane loading patterns. It is also found that the out-of-plane buckling strength of a fixed steel arch under non-symmetric loading is lower than that under symmetric loading. Based on the experimental and FE results, a lower bound interaction equation is developed for predicting the out-of-plane inelastic buckling strength in the design of fixed circular steel arches against their out-of-plane failure.

[1]  Tsutomu Sakata,et al.  EXPERIMENTAL STUDY ON THE OUT-OF-PLANE BUCKLING STRENGTH OF STEEL ARCHES WITH OPEN CROSS SECTION , 1990 .

[2]  N. S Trahair,et al.  FLEXURAL-TORSIONAL BUCKLING OF ARCHES , 1986 .

[3]  W G Godden THE LATERAL BUCKLING OF TIED ARCHES. , 1954 .

[4]  Toshitaka Yamao,et al.  EXPERIMENTAL STUDY ON THE ULTIMATE STRENGTH OF STEEL ARCHES , 1979 .

[5]  Nicholas S. Trahair,et al.  Prebuckling Deformations and Flexural-Torsional Buckling of Arches , 1995 .

[6]  Mark A. Bradford,et al.  A FURTHER STUDY OF FLEXURAL-TORSIONAL BUCKLING OF ELASTIC ARCHES , 2005 .

[7]  Yong-Lin Pi,et al.  OUT-OF-PLANE INELASTIC BUCKLING AND STRENGTH OF STEEL ARCHES , 1998 .

[8]  Myung-Won Suh,et al.  Spatial Stability of Nonsymmetric Thin-Walled Curved Beams. II: Numerical Approach , 2000 .

[9]  Mark A. Bradford,et al.  Elastic flexural-torsional buckling of fixed arches , 2004 .

[10]  Mark A. Bradford,et al.  Out-of-Plane Strength Design of Fixed Steel I-Section Arches , 2005 .

[11]  M. A. Bradford,et al.  Flexural–torsional buckling of fixed steel arches under uniform bending , 2006 .

[12]  Frank Tokarz Experimental Study of Lateral Buckling of Arches , 1971 .

[13]  M. Bradford,et al.  Effects of shape functions on flexural–torsional buckling of fixed circular arches , 2014 .

[14]  Chao Dou,et al.  Experimental Investigation into Flexural-Torsional Ultimate Resistance of Steel Circular Arches , 2015 .

[15]  Mark A. Bradford,et al.  Effects of prebuckling deformations on the elastic flexural-torsional buckling of laterally fixed arches , 2004 .

[16]  N. S Trahair,et al.  Flexural torsional buckling tests on arches , 1987 .

[17]  S. Timoshenko Theory of Elastic Stability , 1936 .

[18]  Charles W. Bert,et al.  Flexural — torsional buckling analysis of arches with warping using DQM , 1997 .

[19]  Mark A. Bradford,et al.  A new analytical solution for lateral-torsional buckling of arches under axial uniform compression , 2012 .

[20]  Shyh-Rong Kuo,et al.  Static Stability of Curved Thin‐Walled Beams , 1986 .

[21]  Chai H. Yoo,et al.  Flexural-Torsional Stability of Curved Beams , 1982 .

[22]  Yong-Lin Pi,et al.  Inelastic lateral buckling strength and design of steel arches , 2000 .

[23]  H. H. Snijder,et al.  Out-of-plane stability of roller bent steel arches – an experimental investigation , 2013 .

[24]  M. A. Bradford,et al.  Flexural-torsional buckling of arches under directed or hydrostatic loads , 2005 .

[25]  Sundaramoorthy Rajasekaran,et al.  Equations of Curved Beams , 1989 .

[26]  V. Vlasov Thin-walled elastic beams , 1961 .