Finite element modeling of rolled steel shapes subjected to weak axis bending

다국어 초록 (Multilingual Abstract)

Point bending is often used for cambering and curving structural steel girders. An analytical solution, applicable in the elasto-plastic range only, that relates applied loads to the desired curve was recently developed for inducing horizontal curves using four-point bending. This solution does not account for initial residual stresses and geometric imperfections built-in hotrolled sections. This paper presents results from a full-scale test on a hot-rolled steel section curved using four-point bending. In parallel, a numerical analysis, accounting for both initial geometric imperfections and initial residual stresses, was carried out. The models were validated against the experimental results and a good agreement for lateral offset and for strain in the elastoplastic and post-plastic ranges was achieved. The results show that the effect of initial residual stresses on deformation and strain is minimal. Finally, residual stresses due to cold bending calculated from the numerical analysis were assessed and a revised stress value for the service load design of the curved girder is proposed.

참고문헌 (Reference)

1 Sonck, D., "Weak-axis flecural buckling of cellular and castellated columns" 124 : 91-100, 2016

2 European Convention for Constructional Steelwork (ECCS), "Ultimate limit state calculation of sway frames with rigid joints; Technical Committee 8 - Structural Stability Technical Working Group 8.2, Publication No. 33"

3 Yun, X., "The continuous strength method for the design of hot-rolled steel crosssections" 157 : 179-191, 2018

4 Chen, Y., "Tests and behavior of hot-rolled channel steel sections subjected to web crippling" 117 : 101-114, 2016

5 Salmon, C.G., "Steel Structures: Design and Behavior, (5th Edition)" Harper-Collins 2010

6 ASTM, "Standard test methods for tension testing of metallic materials, ASTM Designation: E8/E8M - 13a, AASHTO No. T68"

7 Lay, M.G., "Residual stresses in steel sections" 33 : 2-21, 1969

8 Young, B.W., "Residual stresses in hot-rolled members" 1972

9 Nethercot, D.A., "Residual stresses and their influence upon the lateral buckling of rolled steel beams" 352 : 89-96, 1974

10 Abambres, M., "Residual Stresses in steel members: a review of available analytical expressions" 7 (7): 70-94, 2014

11 Gergess, A., "Post-yield response of coldcambered wide-flange steel beams" 66 : 1155-1163, 2010

12 Dawson, R.G., "Post-buckling of geometrically imperfect plates" ASCE 98 (98): 75-94, 1972

13 Reis, A., "Numerical modelling of steel plate girders at normal and elevated temperatures" 86 : 1-15, 2016

14 Thombare, C.N., "Nonlinear buckling analysis of 2-D cold-formed steel simple cross-aisle storage rack frames" 7 : 12-22, 2016

15 Liu, W., "Modelling and probabilistic study of the residual stress of cold-formed hollow steel sections" 150 : 986-995, 2017

16 Trahair, N.S., "Flexural-Torsional Buckling of Structures" E & FN Spon 1993

17 Wang, J., "Flexural behaviour of hot-finished high strength steel square and rectangular hollow sections" 121 : 97-109, 2016

18 Keating, P.B., "Effetcs of bending and heat on the ductility and fracture toughness of flange plate" Texas Department of Transportation 2009

19 Bruneau, M., "Ductile Design of Steel Structures" McGraw-Hill 1998

20 Hassan, M.S., "Determination of geometrical imperfection models in finite element analysis of structural steel hollow sections under cyclic axial loading" 141 : 189-203, 2018

21 Gergess, A., "Curving structural steel girders by two-point bending" 122 : 511-519, 2016

22 Saliba, N., "Cross-section stability of lean duplex stainless steel welded I-sections" 80 : 1-14, 2013

23 "BSK 99, Swedish design rules for steel structures"

24 Wang, J., "Axial behaviour of prestressed high strength steel tubular members" 133 : 547-563, 2017

25 Madugula, M.K.S., "Additional residual stress and yield stress tests on hot-rolled angle" 1997

26 "ANSI/AISC 360-10, Specification for structural steel buildings, (4th Printing)"

27 Hibbitt, Karlsson., "ABAQUS/Standard User's Manual Volumes I-III and Abaqus CAE Manual; Version 6.12" 2012

28 AASHTO, "AASHTO LRFD bridge design specifications, (7th Edition)" 2014

29 AASHTO, "AASHTO LRFD bridge design specifications, (3rd Edition)" 2004

30 Szalai, J., "A new residual stress distribution for hot-rolled I shaped sections" 61 (61): 845-861, 2005