Reliability Assessment of Steel Plane Frame's Buckling Strength Considering Semi-rigid Connections


  • N. L. Tran Department of Civil Engineering, Vinh University, Vietnam
  • T. H. Nguyen Department of Civil Engineering, Vinh University, Vietnam
Volume: 10 | Issue: 1 | Pages: 5099-5103 | February 2020 |


The buckling strength of a structure depends hugely on material properties, geometry dimensions, and boundary conditions that are potentially random. This paper presents an assessment of the safety of buckling strength of steel plane frame semi-rigid beam-column connections. The Newton-Raphson method is used to solve the nonlinear equation for the buckling limit of the column. The reliability of the structure is evaluated by the Monte Carlo simulation method. The effects of input parameters are also investigated.


plane frames steel, semi-rigid connection, reliability, Monte Carlo simulation


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C. Batho, H. C. Rowan, “Investigations on beam and stanchion connections”, in: Second report of the steel structures research committee, pp. 61-137, Department of Scientific and Inductrial Research, His Majesty’s Stationery Office, London, 1934

J. C. Rathburn, “Elastic properties of riveted connections”, Transactions of the American Society of civil Engineers, Vol. 101, pp. 523-596, 1936

B. Sourochnikoff, Wind stresses in semi-rigid connections of steel framework, Transactions of the American Society of Civil Engineers, Vol. 115, No. 1, pp. 382–402. 1950

G. R. Monforton, T. S. Wu, “Matrix analysis of semi-rigidly connected frames”, Journal of Structural Division, Vol. 89, No. 6, pp. 13-42, 1963

S. E. Kim, S. H. Choi, “Practical advanced analysis for semi-rigid space frames”, International Journal of Solids and Structures, Vol. 38, pp. 9111-9131, 2001 DOI:

M. A. Hadianfard, R. Razani, “Effects of semi-rigid behavior of connections in the reliability of steel frames”, Structural Safety, Vol. 25, No. 2, pp. 123-138, 2003 DOI:

N. Silvestre, A. Mesquita, D. Camotim, L. Silva, “In-plane buckling behavior of pitched-roof steel frames with semi-rigid connections”, in: Frames with partially restrained connections, SSRC 1998, Theme Conference Workshop Volume, pp. 21-34, 2000

N. Silvestre, D. Camotim, “Elastic buckling and second-order behavior of pitched-roof steel frames”, Journal of Constructional Steel Research, Vol. 63, No. 6, pp. 804-818, 2007 DOI:

H. Tajmir Riahi, A. Shojaei Barjoui, S. Bazazzadeh, S. M. A. Etezady, “Buckling analysis of non-prismatic columns using slope-deflection method”, 15th World Conference on Earthquake Engineering, Lisbon, Portugal, September 24-28, 2012

A. S. Vlahinos, A. Cervantes, “Buckling and postbuckling behaviour of gabled frames”, Mathematical and Computer Modelling, Vol. 14, pp. 873-876, 1990 DOI:

J. F. Wang, G. Q. Li, “Stability analysis of semi-rigid composite frames”, Steel and Composite Structures, Vol. 7, No. 2, pp. 119-133, 2007 DOI:

Y. Wang, Y. J. Liu, Y. F. Xu, “Stiffness analysis on semi-rigid joints in gabled frames”, International Conferemce on Civil Engineering, Architecture and Building Materials, Haikou, China, June 18-20, 2011

J. F. Wilson, D. J Strong, “Elastic buckling of end-loaded, tapered, cantilevered beams with initial curvature”, Structural Engineering and Mechanics, Vol. 5, No. 3, pp. 257-268, 1997 DOI:

A. D. Kiureghian,“Structural reliability methods for seismic safety assessment: A review”, Engineering Structures, Vol. 18, No. 6, pp. 412-424, 1990 DOI:

H. P. Hon, S. Wang, Reliability of steel frame systems with semi-rigid connections, ICLR Research Paper Series No. 35, University of Western Ontario, 2003

R. E. Melchers, “The effect of corrosion on the structural reliability of steel offshore structures”, Corrosion Science, Vol. 47, No. 10, pp. 2391–2410, 2005 DOI:

N. Kishi, W. F Chen, Y. Goto, K. G Matsuoka, “Design aid of semi-rigid connections for frame analysis”, Engineering Journal, Vol. 30, No. 3, pp. 90-107, 1993

A. Kozlowski, R. Kowalczyk,M. Gizejowsk, “Estimation of the initial stiffness and moment resistance of steel and composite joints”, CTBUH 8th World Congress, Dubai, March 3-5, 2008

V. Q Anh, Advance analysis and design frame semi-rigid connections, Publishing of Contruction, 2013 (in Vietnamese)

M. Lemaire, Fiabilite des Structures: Couplage mescano-fiabiliste, European Journal of Computational Mechanics, Vol. 15, No. 7-8, pp. 989-992, 2005 DOI:


How to Cite

N. L. Tran and T. H. Nguyen, “Reliability Assessment of Steel Plane Frame’s Buckling Strength Considering Semi-rigid Connections”, Eng. Technol. Appl. Sci. Res., vol. 10, no. 1, pp. 5099–5103, Feb. 2020.


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