Journal of Applied and Computational Mechanics

Design of Cellular Members under Axial-Shear-Flexure Interaction

Document Type : Research Paper

Authors

1 Department of Civil and Environmental Engineering, Faculty of Engineering, Prince of Songkla University, Songkhla, 90112, Thailand

2 Civil Engineering Program, School of Engineering, University of Phayao, Phayao, 56000, Thailand

Abstract

Due to lack of a design resistance for cellular beam-columns under the axial-shear-flexure interaction, the design interaction resistances were investigated through a validated finite element analysis. The beam-columns are simply supported and subjected to a mid-span point load and a compressive axial load, to provide the interaction. A modified interaction based on ANSI/AISC 360-16 and the shear design of SCI P355 were integrated to design the interaction resistance. In the parametric study of the interaction in various steel sections, the non-dimensional slenderness and opening parameters were examined. For beam-columns under high shear forces, Vierendeel mechanism and web-post buckling constitute the dominant failure modes depending on the opening parameters. Under high compression loads or flexural moment, flexural failure about the major axis is the dominant failure mode. However, the failure behaviors are generally combinations of the three modes. The design interactional resistance was examined in terms of failure shear forces computed from failure criteria of the three modes. Since design of the web-post buckling in SCI P355 does not consider effects of the interaction, their resistances are significantly higher than the FE results. The resistance is not governed by safety and requires modifications. On considering the co-existing actions in a quadratic interaction criterion, the proposed interaction resistance obviously complies with the FE results for cases of the web-post buckling failure, and agrees well with the FE results for cases of Vierendeel and flexural failure.

Keywords

Main Subjects

Publisher’s Note Shahid Chamran University of Ahvaz remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

[1] Nawar, M.T., Arafa, I.T., Elhosseiny, O., Numerical investigation on effective spans ranges of perforated steel beams, Structures, 25, 2020, 398-410.
[2] Moghbeli, A., Sharifi, Y., New predictive equations for lateral-distortional buckling capacity assessment of cellular steel beams, Structures, 29, 2021, 911-923.
[3] Lawson, R.M., Hicks, S.J., Design of composite beams with large openings, SCI P355, SCI Publication, Berkshire UK, 2011.
[4] Khatri, A.P., Katikala, S.R., Kotapati, V.K., Effect of load height on elastic buckling behavior of I-shaped cellular beams, Structures, 33, 2021, 1923-1935.
[5] Rodolpho, T.F., Rossi, A., Silva de Carvalho, A., Martins, C.H., Numerical analysis of the global stability of simply supported cellular steel columns under axial compression, Thin-Walled Structures, 192, 2023, 111143.
[6] Sweedan, A.M.I., El-Sawy, K.M., Martini, M.I., Identification of the buckling capacity of axially loaded cellular columns, Thin-Walled Structures, 47(4), 2009, 442-454.
[7] El-Sawy, K.M., Sweedan, A.M.I., Martini, M.I., Major-axis elastic buckling of axially loaded castellated steel columns, Thin-Walled Structures, 47(11), 2009, 1295-1304.
[8] Yuan, W.-B., Kim, B., Li, L.-Y., Buckling of axially loaded castellated steel columns, Journal of Constructional Steel Research, 92, 2014, 40-45.
[9] Gu, J.-Z., Cheng, S., Shear effect on buckling of cellular columns subjected to axially compressed load, Thin-Walled Structures, 98, 2016, 416-420.
[10] Panedpojaman, P., Thepchatri, T., Limkatanyu, S., Elastic buckling of cellular columns under axial compression, Thin-Walled Structures, 145, 2019, 106434.
[11] Sonck, D., Belis, J., Weak-axis flexural buckling of cellular and castellated columns, Journal of Constructional Steel Research, 124, 2016, 91-100.
[12] CEN, EN 1993–1-1 Eurocode 3: Design of Steel Structures - Part 1–1: General Rules and Rules for Buildings, 2005.
[13] ANSI/AISC 360-16, Specification for structural steel buildings, Chicago, Illinois: American Institute of Steel Construction, 2016.
[14] Panedpojaman, P., Sae-Long, W., Thepchatri, T., Design of cellular beam-columns about the major axis, Engineering Structures, 236, 2021, 112060.
[15] Belega, B., Manglekar H.C., Ray, T., Effects of axial-shear-flexure interaction in static and dynamic responses of steel beams, Journal of Constructional Steel Research, 131, 2017, 83-93.
[16] Basler, K., Strength of plate girders under combined bending and shear, Journal of the Structural Division, 87(7), 1961, 181-197.
[17] Bleich, F., Buckling Strength of Metal Structures, McGraw Hill, New York, USA, 1952.
[18] Shahabian, F., Roberts, T.M., Behaviour of plate girders subjected to combined bending and shear loading, Scientia Iranica, 15(1), 2008, 16-20.
[19] Silva de Carvalho, A., Rossi, A., Martins, C.H., Assessment of lateral–torsional buckling in steel I-beams with sinusoidal web openings, Thin-Walled Structures, 175, 2022, 109242.
[20] Panedpojaman, P., Thepchatri, T., Limkatanyu, S., Novel simplified equations for Vierendeel design of beams with (elongated) circular openings, Journal of Constructional Steel Research, 112, 2015, 10-21.
[21] Ward, J.K., Design of composite and non-composite cellular beams, SCI P100, SCI Publication, Berkshire UK, 1990.
[22] Panedpojaman, P., Simplified equations for vierendeel design calculations of composite beams with web openings, Steel and Composite Structures, 27(4), 2018, 401-416.
[23] Redwood, R.G., Design of beams with web holes, Canadian Steel Industries Construction Council, 1973.
[24] Tsavdaridis, K.D., D'Mello, C., Web buckling study of the behaviour and strength of perforated steel beams with different novel web opening shapes, Journal of Constructional Steel Research, 67(10), 2011, 1605-1620.
[25] ECSC, Large web openings for service integration in composite floors, Final Report for ECSC Research Contract 7210-PR-315, 2003.
[26] Warren, J., Ultimate load and deflection behaviour of cellular beams, MSc Thesis, School of Civil Engineering, University of Natal, Durban, Republic of South Africa, 2001,
[27] Erdal, F., Saka, M.P., Ultimate load carrying capacity of optimally designed steel cellular beams, Journal of Constructional Steel Research, 80, 2013, 355-368.
[28] Neslušan, M., Jurkovic, M., Kalina, T. Pitonák, M., Zgútová, K., Monitoring of S235 steel over-stressing by the use of Barkhausen noise technique, Engineering Failure Analysis, 117, 2020, 104843.
[29] Nseir, J., Lo, M., Sonck, D., Somja, H., Vassart, O., Boissonnade, N., Lateral torsional buckling of cellular beams, Proceedings of the structural stability research council annual stability conference (SSRC2012), Grapevine, Texas, 2012.
[30] Panedpojaman, P., Sae-Long, W., Chub-uppakarn, T., Cellular beam design for resistance to inelastic lateral–torsional buckling, Thin-Walled Structures, 99, 2016, 182-194.
[31] Panedpojaman, P., Thepchatri, T., Limkatanyu, S., Novel design equations for shear strength of local web-post buckling in cellular beams, Thin-Walled Structures, 76, 2014, 92-104.
Journal of Applied and Computational Mechanics

Articles in Press, Corrected Proof
Available Online from 18 April 2024