Main Article Content

Dalila Boukhalfa
Toufik Belaid
Adel Slimani


This paper presents a contribution to the study of the stability of steel trusses. The paper proposes an analytical model for the determination of the buckling length coefficient of the truss N by the lateral torsional buckling approach. The model is derived by considering the equilibrium of the truss under the action of the applied loads and the buckling load. The buckling load is determined by considering the lateral buckling of the equivalent beam and the interaction between the members. The model is validated by comparing the predicted buckling loads with the experimental results of several steel trusses. The results show that the model can predict the buckling loads with good accuracy. The proposed model is a valuable tool for the design of steel trusses. The model can be used to determine the buckling length coefficient of the truss and to ensure that the truss is safe and reliable.


Download data is not yet available.

Article Details

How to Cite
Boukhalfa, D., Belaid, T., Slimani, A., & AMMARI, F. (2024). ANALYTICAL MODEL FOR BUCKLING LENGTH COEFFICIENT DETERMINATION IN STEEL TRUSSES: A LATERAL TORSIONAL BUCKLING APPROACH. International Journal for Computational Civil and Structural Engineering, 20(2), 141-154.


EN 1993-1-1: Eurocode 3: Design of Steel Structures. Part 1-1: General Rules and Rules for Buildings, 2005.

J. Jankowska-Sandberg and J. Kołodziej, "Experimental study of steel truss lateral–torsional buckling," Engineering Structures, vol. 46, pp. 165-172, 2013. DOI:

A. Biegus and D. Wojczyszyn, "Studies on buckling lengths of chords for out-of-plane instability," Archives of Civil and Mechanical Engineering, vol. 11, pp. 507-517, 2011. DOI:

A. Slimani, T. Belaid, M. Saidani, F. Ammari, and R. Adman, "A new method for determining the effective length factor of columns in partially braced frames on elastic supports," Structural Engineering and Mechanics, vol. 85, p. 825, 2023.

A. Beldjazia, R. Adman, A. Slimani, M. Saidani, T. Belaid, and F. Ammari, "Mechanical Modeling and General Analytical Solution for the Dynamic Buckling of Plane Structures Using a Beam-Column Element with Varying End Restraints," International Journal of Structural Stability and Dynamics, p. 2250019, 2021. DOI:

T. Belaid, F. Ammari, and R. Adman, "Influence of load position on critical lateral torsional buckling moment of laterally restrained beam at tense flange," Asian Journal of Civil Engineering, vol. 19, pp. 839-848, 2018. DOI:

T. Belaid, A. Slimani, F. Ammari, D. Boukhalfa, and R. Adman, "Formulation of the critical lateral buckling moment of steel beams under asymmetric loadings," Thin-Walled Structures, vol. 182, p. 110163, 2023/01/01/ 2023. DOI:

P. Lorkowski and B. Gosowski, "Experimental and numerical research of the lateral buckling problem for steel two-chord columns with a single lacing plane," Thin-Walled Structures, vol. 165, p. 107897, 2021/08/01/ 2021. DOI:

M. Piątkowski, "Experimental research on load of transversal roof bracing due to geometrical imperfections of truss," Engineering Structures, vol. 242, p. 112558, 2021. DOI:

T. Yılmaz, "Rapid evaluation of lateral-torsional buckling of European standard I-section cantilevers," Mechanics Based Design of Structures and Machines, pp. 1-19.

A. Slimani, T. Belaid, M. Saidani, F. Ammari, and R. Adman, "The effective length factor of columns in steel framed buildings with end restraint effects," in Structures, 2023, p. 105521. DOI:

M. Horne, "The elastic lateral stability of trusses," The Structural Engineer, vol. 38, pp. 147-155, 1960.

S. Morino and C. Matsui, "A Survey on the Lateral-Torsional Buckling of Truss Beam-Columns," 1981.

F. Ammari, R. Adman, and D. Boukhalfa, "Lateral buckling stability of trussed beam with under uniformly distributed loads," International Journal of Engineering Science and Technology (IJEST), vol. 5, pp. 277-285, 2013.

"EN 1993-1-1: Eurocode 3: Design of Steel Structures. Part 1-1: General Rules and Rules for Buildings," ed: Comité Européen de Normalisation, 1992.

Q. Cai, R. Feng, and Z. Zhang, "Topology optimization of trusses incorporating practical local buckling stability considerations," Structures, vol. 41, pp. 1710-1718, 2022/07/01/ 2022. DOI:

M. Krajewski and P. Iwicki, "Stability of an imperfect truss loaded by wind," Engineering Transactions, vol. 64, pp. 509–516, 2016.

J. C. Gan, J. H. Lim, S. K. Lim, and H. S. Lin, "Experimental and Numerical Study on the Effect of Heel Plate Length and Thickness on the Structural Integrity of Cold-formed Steel Roof Trusses," International Journal of Steel Structures, vol. 21, pp. 22-34, 2021/02/01 2021. DOI:

P. Sejkot, S. Ormarsson, J. Vessby, and B. Källsner, "Numerical out-of-plane stability analysis of long span timber trusses with focus on buckling length calculations," Engineering Structures, vol. 204, p. 109670, 2020/02/01/ 2020. DOI:

C. Règles, "66, Règles de Calcul des Constructions en Acier," Éditions Eyrolles. Décembre, 1966.

S. Timoshenko and J. Gere, "Theory of elastic stability. New York: McGraw-Hill, 1961," 1961.

F. Mohri, A. Brouki, and J. Roth, "Theoretical and numerical stability analyses of unrestrained, mono-symmetric thin-walled beams," Journal of Constructional Steel Research, vol. 59, pp. 63-90, 2003. DOI:

A. Andrade and D. Camotim, "Lateral–torsional buckling of singly symmetric tapered beams: theory and applications," Journal of engineering mechanics, vol. 131, pp. 586-597, 2005. DOI:

Similar Articles

You may also start an advanced similarity search for this article.