Calculation of buckling loads of IPE-section bending members based on optimization of analytical formulations

Ahmet Özbayrak; Mohammed Kamal Ali; Hatice Çıtakoğlu

Calculation of buckling loads of IPE-section bending members based on optimization of analytical formulations

Abstract

The critical lateral buckling load of cantilever beams with IPE cross-section was calculated using analytical closed-form equations and numerical finite element analyses within the scope of the research. The equations suggested in the specifications for simply supported beams were used to calculate the buckling load of cantilever beams. The rationality of the values calculated due to this is not fully known. In the research, a single loading was made to the shear center at the free end of the cantilever beam. Cantilever length and section height were kept variable. As a result, it has been determined that there are partial differences in the analysis result obtained from the elastic stability theory and finite element method. Accordingly, the results obtained from ANSYS and SAP2000 analyses confirm each other. On the other hand, the results obtained using the formulation of Timoshenko and Gere, the calculation results made according to the AISC and DCCPSS regulations, and the results obtained from the LTBeam program confirm each other. However, it differs from the FEA analysis due to the cantilever beam length’s shortening and the section height increase. Thus, to obtain accurate and reliable results in the buckling load calculation of cantilever beams, the equations used in analytical calculations were optimized according to finite element analysis (FEA) results. As a result of the study conducted according to the error criteria, it was determined that the updated equa-tion results gave similar results to the FEA results.

Keywords

References

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Details

Primary Language

English

Subjects

Clinical Chemistry

Journal Section

Research Article

Authors

Ahmet Özbayrak ^*
0000-0002-8091-4990
Türkiye

Mohammed Kamal Ali This is me
0000-0002-9918-1627
Iraq

Hatice Çıtakoğlu
0000-0001-7319-6006
Türkiye

Publication Date

August 1, 2024

Submission Date

November 9, 2022

Acceptance Date

February 14, 2023

Published in Issue

Year 2024 Volume: 42 Number: 4

IZ

https://izlik.org/JA67UE47UJ

Cite

RIS / Bibtex

APA

Özbayrak, A., Ali, M. K., & Çıtakoğlu, H. (2024). Calculation of buckling loads of IPE-section bending members based on optimization of analytical formulations. Sigma Journal of Engineering and Natural Sciences, 42(4), 973-987. https://izlik.org/JA67UE47UJ

AMA

1.Özbayrak A, Ali MK, Çıtakoğlu H. Calculation of buckling loads of IPE-section bending members based on optimization of analytical formulations. SIGMA. 2024;42(4):973-987. https://izlik.org/JA67UE47UJ

Chicago

Özbayrak, Ahmet, Mohammed Kamal Ali, and Hatice Çıtakoğlu. 2024. “Calculation of Buckling Loads of IPE-Section Bending Members Based on Optimization of Analytical Formulations”. Sigma Journal of Engineering and Natural Sciences 42 (4): 973-87. https://izlik.org/JA67UE47UJ.

EndNote

Özbayrak A, Ali MK, Çıtakoğlu H (August 1, 2024) Calculation of buckling loads of IPE-section bending members based on optimization of analytical formulations. Sigma Journal of Engineering and Natural Sciences 42 4 973–987.

IEEE

[1]A. Özbayrak, M. K. Ali, and H. Çıtakoğlu, “Calculation of buckling loads of IPE-section bending members based on optimization of analytical formulations”, SIGMA, vol. 42, no. 4, pp. 973–987, Aug. 2024, [Online]. Available: https://izlik.org/JA67UE47UJ

ISNAD

Özbayrak, Ahmet - Ali, Mohammed Kamal - Çıtakoğlu, Hatice. “Calculation of Buckling Loads of IPE-Section Bending Members Based on Optimization of Analytical Formulations”. Sigma Journal of Engineering and Natural Sciences 42/4 (August 1, 2024): 973-987. https://izlik.org/JA67UE47UJ.

JAMA

1.Özbayrak A, Ali MK, Çıtakoğlu H. Calculation of buckling loads of IPE-section bending members based on optimization of analytical formulations. SIGMA. 2024;42:973–987.

MLA

Özbayrak, Ahmet, et al. “Calculation of Buckling Loads of IPE-Section Bending Members Based on Optimization of Analytical Formulations”. Sigma Journal of Engineering and Natural Sciences, vol. 42, no. 4, Aug. 2024, pp. 973-87, https://izlik.org/JA67UE47UJ.

Vancouver

1.Ahmet Özbayrak, Mohammed Kamal Ali, Hatice Çıtakoğlu. Calculation of buckling loads of IPE-section bending members based on optimization of analytical formulations. SIGMA [Internet]. 2024 Aug. 1;42(4):973-87. Available from: https://izlik.org/JA67UE47UJ