Mechanical model for determining the critical load of plane frames with semi-rigid joints subjected to static loads

Buckling load; Connections; Elastic; Frame; Model; Semi rigid; Models; Stiffness; Stiffness matrix; Waveguide couplers; Buckling loads; Computational effort; Practical problems; Semi-rigid; Stability function; Support conditions; Buckling

Abstract :

[en] The present work deals with the effect of beam-column joint flexibility on the elastic buckling load of plane steel frames. A simple and effective mechanical model is proposed and the corresponding stiffness matrix is presented. The model consists in the development of comprehensive approach taking into account, simultaneously, the effects of the joint rigidity, the elastic buckling load, and this for both sway and non-sway frames. As has been shown by previous research, only one element is required over the length of the element to model stability. This is a marked contribution and advantage of the proposed method, as well as its simplicity, and yet accuracy, to solve practical problem with little computational effort. Also, it includes stability functions in the stiffness matrix, something very often ignored by researchers. Numerical results are obtained for frames with various characteristics and support conditions when three illustrative examples from the literature are presented and discussed. The elastic buckling load is found to be strongly affected by semi-rigid joints and reveals that the proposed model is computationally very efficient with the expressions presented being general. The paper makes reference to the Eurocode 3 approach and those of other researchers in comparing the results. The proposed method is found to be more effective and simple to use, and yielding to very good results. © 2017

Disciplines :

Civil engineering

Author, co-author :

Ihaddoudène, A. N. T.; Built Environment Research Laboratory, Faculty of Civil Engineering, U.S.T.H.B., Algeria

Saidani, M.; Faculty of Engineering, Environment and Computing, School of Energy, Construction and Environment, Coventry University, Priory Street, Coventry, United Kingdom

Jaspart, Jean-Pierre ; Université de Liège - ULiège > Département ArGEnCo > Adéquat. struct. aux exig. de fonct.& perfor. techn.-écon.

Language :

English

Title :

Mechanical model for determining the critical load of plane frames with semi-rigid joints subjected to static loads

Publication date :

2017

Journal title :

Engineering Structures

ISSN :

0141-0296

eISSN :

1873-7323

Publisher :

Elsevier Ltd

Volume :

145

Pages :

109-117

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 16 August 2019

Statistics

Number of views

62 (3 by ULiège)

Number of downloads

174 (1 by ULiège)

More statistics

Scopus citations^®

Scopus citations^®
without self-citations

OpenCitations

Bibliography

Chisala, M.L., Modelling M-φ curves for standard beam-to-column connections. Eng Struct 21 (1999), 1066–1075, 10.1016/S0141-0296(98)00033-9.
Sang-Sup, L., Tae, Sup M., Moment-rotation model of semi rigid connections with angles. Eng Struct 24 (2002), 227–237, 10.1016/S0141- 0296(01)00066-9.
Shi, Y., Shi, G., Wang, Y., Experimental and theoretical analysis of the moment-rotation behaviour of stiffened extended end-plate connections. J Constr Steel Res 63 (2007), 1279–1293, 10.1016/j.jcsr.2006.11.008.
Pirmoz, A., Seyed Khorei, A., Mohammadrezapour, E., Daryan, A.S., Moment-rotation behaviour of bolted top-seat angle connections. J Constr Steel Res 65 (2009), 973–984, 10.1016/j.jcsr.2008.08.011.
Cabrero, J.M., Bayo, E., Development of practical design methods for steel structures with semi-rigid connections. Eng Struct 27 (2005), 1125–1137.
Pucinotti, R., Top-and-seat and web angle connections: prediction via mechanical model. J Constr Steel Res 57 (2001), 661–694, 10.1016/S0143-974X(01)00007-4.
da Silva, Simoes L., Girao Coelho, A.M., An analytical evaluation of the response of steel joints under bending and axial force. Comput Struct 79 (2001), 873–881.
Lui, E.M., Chen, W.F., Behavior of braced and unbraced semi-rigid frames. Int J Solids Struct 24 (1988), 893–913.
Diaz, C., Marti, P., Victoria, M., Querin, O.M., Review on the modelling of joint behaviour in steel frames. J Constr Steel Res 67 (2011), 741–758, 10.1016/j.jcsr.2010.12.014.
Jaspart, J.P., Design of structural joints in building frames. Progr Struct Eng Mater 4:1 (2002), 18–34, 10.1002/pse.105.
Lui, E.M., Chen, W.F., Effects of joint flexibility on the behavior of steel frames. Comput Struct 26:5 (1987), 719–723, 10.1016/0045-7949(87)90021-6.
da Silva, Simoes L., Towards a consistent design approach for steel joints under generalized loading. J Constr Steel Res 68 (2008), 1059–1075.
Ihaddoudène, A.N.T., Saidani, M., Chemrouk, M., Modelling of steel frames with semi rigid joints. Int J Appl Eng Res 3:7 (2008), 955–967, 10.1016/j.jcsr.2008.08.010.
Del Savio, A.A., Nethercot, D.A., Vellasco, P.C.G.S., Andrade, S.A.L., Martha, L.F., Generalised component-based model for beam-to-column connections including axial versus moment interaction. J Constr Steel Res 65 (2009), 1876–1895.
Ihaddoudène, A.N.T., Saidani, M., Chemrouk, M., Mechanical model for the analysis of steel frames with semi rigid joints. J Constr Steel Res 65 (2009), 631–640.
Ihaddoudène, ANT., Analyse de la stabilité des structures à assemblages semi-rigides. [Ph.D. thesis], 2008, Faculty of Civil Engineering, University of Sciences and Technology, U.S.T.H.B., Algeria.
Eurocode 3: design of Steel Structures-Part 1–8: Design of joints, Brussels, CEN; 2005.
Nassani, D.E., Chikho, A.H., A simple formula for estimating the column ultimate load with effect of semi-rigid connections. Int J Steel Struct 15:1 (2015), 31–38.
Thai, H., Kim, S., Second-order distributed plasticity analysis of steel frames with semi-rigid connections. Thin-Walled Struct 11:4 (2015), 120–128.
Kaushik, K., Sharma, A.K., Kumar, R., Modelling and FE analysis of column to beam end plate bolted connection. Eng Solid Mech J 2:1 (2014), 51–66.
Ermopoulos, J., Buckling length of framed compression members with semi rigid connections. J Constr Steel Res 18:2 (1991), 139–154.
Essa, H.S., Stability of columns in unbraced frames. J Struct Eng 123:7 (1997), 952–957.
Raftoyiannis, I.G., The effect of semi-rigid joints and an elastic bracing system on the buckling load of simple rectangular steel frames. J Constr Steel Res 61 (2005), 1205–1225, 10.1016/j.jcsr.2005.01.005.
Mageirou, G.E., Gantes, C.J., Buckling strength of multi-story sway, non-sway and partially-sway frames with semi-rigid connections. J Constr Steel Res 62 (2006), 893–905, 10.1016/j.jcsr.2005.11.019.
Gantes, C.J., Mageirou, G.E., Improved stiffness distribution factors for evaluation of effective buckling lengths in multi-story sway frames. Eng Struct 27 (2005), 1113–1124.
Xu, L., Liu, Y., Story stability of semi-braced steel frames. J Constr Steel Res 58:4 (2002), 467–491.
Xu, L., The buckling loads of unbraced PR frames under non-proportional loading. J Constr Steel Res 58:4 (2002), 443–465.
Hellesland, J., Evaluation of effective length formulas and applications in system instability analysis. Eng Struct 45 (2012), 405–420.
Cao, K., Guo, Y.J., Xu, J., Buckling analysis of columns ended by rotation-stiffness spring hinges. Int J Steel Struct 16:1 (2016), 1–9.
Chen, W.F., Kishi, N., Komuro, M., Semi-rigid Connections Handbook. Civil and Environmental Engineering Series. 2011, J. Ross Publishing.
Shayan S, Rasmussen K. Jr, Zhang H. On the modeling of initial geometric imperfections and residual stress of steel frames. Research Report R935, September 2012. The University of Sydney.
Giraldo-Londono, O., Aristizabal-Ochoa, J.D., Giraldo, J.S.M., Large-deflection and post-buckling of beam-columns with non-linear semi-rigid connections including shear and axial effects. Int J Non-linear Mech 77 (2015), 85–95.
Stamatopoulos, G.N., Influence of the flexible supports on the buckling loads of steel frames. Int J Steel Struct 15 (2015), 661–670.
Gorgun, H., Geometrically nonlinear analysis of plane frames composed of flexibly connected members. Struct Eng Mech 45 (2013), 273–305.
Nguyen, P.C., Kim, S.E., Nonlinear elastic dynamic analysis of space steel frames with semi-rigid connections. J Constr Steel Res 84 (2013), 72–81.
MacRae, G.A., Urmson, C.R., Walpole, W.R., Moss, P., Hyde, K., Clifton, C., Axial shortening of steel columns in buildings subjected to earthquakes. Bull New Zealand Soc Earthq Eng 42:4 (2009), 275–287.
Wongkaew, K., Chen, W.F., Consideration of out-of-plane buckling in advanced analysis for planar steel frame design. J Constr Steel Res 58 (2002), 943–965.
Ihaddoudène ANT, Jaspart JP. Stability of non sway steel frames with semi rigid connections. In: Proceedings of the 14th International Conference on Civil, Structural and Environmental Engineering & Computing, September 3–6, 2013. Cagliari, Italy.
WinOssa2D, ver.3.31: elastic design of plane frames. University of Liège, Belgium.
Maquoi R, Chabrolin B. Frame design including joint behavior. Final report of ECCS Contract No 7210-SA/212/320, European Communities, Brussels; 1998.
Livesley, R.K., Chandler, D.B., Stability functions for structural frameworks. 1956, University Press, Manchester [Sec. 2.1].
Madjid, K.I., Non-linear structures. 1972, Butterworth.
Livesley, R.K., Matrix methods of structural analysis. 1964, Pergamon Press and Macmillan Co., New York.
Oran, C., Tangent stiffness in frames. J Struct Div, Am Soc Civ Eng 99:ST6 (1973), 973–985.
Chen, W.F., Lui, E.M., Effects of joint flexibility on the behaviour of steel frames. J Comput Struct 26:5 (1987), 719–732.
Chen, W.F., Chan, S.L., Second-order inelastic analysis of steel frames using element with mid-span and end springs. J Struct Eng 121:3 (1995), 530–541.