Non-Linear Buckling Analysis of Axially Loaded Column with Non-Prismatic I-Section

Adrian Pramudita Dharma(1*), Bambang Suryoatmono(2)

(1) Department of Civil Engineering, Parahyangan Catholic University, Bandung, INDONESIA
(2) Department of Civil Engineering, Parahyangan Catholic University, Bandung, INDONESIA
(*) Corresponding Author


In order to use material efficiently, non-prismatic column sections are frequently employed. Tapered-web column cross-sections are commonly used, and design guides of such sections are available. In this study, various web-and-flange-tapered column sections were analysed numerically using finite element method to obtain each buckling load assuming the material as elastic-perfectly plastic material. For each non-prismatic column, the analysis was also performed assuming the column is prismatic using average cross-section with the same length and boundary conditions. Buckling load of the prismatic columns were obtained using equation provided by AISC 360-16. This study proposes a multiplier that can be applied to the buckling load of a prismatic column with an average cross-section to acquire the buckling load of the corresponding non-prismatic column. The multiplier proposed in this study depends on three variables, namely the depth tapered ratio, width tapered ratio, and slenderness ratio of the prismatic section. The equation that uses those three variables to obtain the multiplier is obtained using regression of the finite element results with a coefficient of determination of 0.96.


Non-prismatic column; Web-and-flange-tapered; Flexural buckling; Non-linear buckling

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AL-Shareef, H. (2014) ‘Non-Linear Buckling Analysis of Non-Prismatic Steel Columns Subjected to Axial Compression Loads’, 6(2), pp. 54–75.

American Institute of Steel Construction (2016) Specification for Structural Steel Buildings. Chicago: AISC Committee on Specifications.

Bjorhovde, R., 1972. Deterministic and Probabilistic Approaches to The Strength of Steel Columns, USA: Doctoral Disertation. Civil Engineering Departmen. Leigh University.

EN 1993-1-1 (2005) Eurocode 3: Design of steel structures - Part 1-1: General rules and rules for buildings, Eurocode 3.

Galambos, T. V. and Surovek, A. E. (2008) Structural Stability of Steel: Concepts and Applications for Structural Engineers, Structural Stability of Steel: Concepts and Applications for Structural Engineers. doi: 10.1002/9780470261316.

Hassan Ibrahim, T. (2017) Buckling Loads and Effective Length Factor for Non-Prismatic Columns, Journal of Engineering, 10, pp. 134-145

ANSYS Inc. (2007) Elements Reference ANSYS Release 11.0, USA: SAS IP

Kaehler, R. C., White, D. W. and Kim, Y. . (2011) Design Guide 25 – Frame Design Using Tapered-webMembers, USA: AISC

Kucukler, M. and Gardner, L. (2018) ‘Design of laterally restrained tapered-websteel structures through a stiffness reduction method’, Journal of Constructional Steel Research, pp. 63–76. doi: 10.1016/j.jcsr.2017.11.014.

Lee, G., Morrell, M.L. & Ketter, R.L. (1972) Design of tapered members. New York NY: Welding Research Council.

Marques, L. et al. (2014) ‘Extension of EC3-1-1 interaction formulae for the stability verification of tapered beam-columns’, Journal of Constructional Steel Research, 100, pp. 122–135. doi: 10.1016/j.jcsr.2014.04.024.

Riahi, H. T. et al. (2012) Buckling Analysis of Non-Prismatic Columns Using Slope-Deflection Method. Lisboa, World Conference on Earthquake Engineering

Salmon, C. G., Johnson, J. E. and Malhas, F. A. (2009) Steel structures : design and behavior : emphasizing load and resistance factor design. Pearson/Prentice Hall.

Tankova, T. et al. (2018) ‘Experimental buckling behaviour of web tapered I-section steel columns’, Journal of Constructional Steel Research. doi: 10.1016/j.jcsr.2018.04.015.

Timošenko, S. P. (1878-1972). and Gere, J. M. (1925-2008). (1963) Theory of elastic stability. 2. ed. Auckland: McGraw-Hill.

Ziemian, R. D. (ed.) (2010) Guide to Stability Design Criteria for Metal Structures. Hoboken, NJ, USA: John Wiley & Sons, Inc. doi: 10.1002/9780470549087.


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