ANALYSIS OF ELASTIC LATERAL TORSIONAL BUCKLING OF CANTILEVER I SECTIONS BY THE COMPLEMENTARY FUNCTIONS METHOD

SIVRI, BURKAY; Noori, Ahmad Reshad; TEMEL, Beytullah

doi:10.36306/konjes.1384189

ANALYSIS OF ELASTIC LATERAL TORSIONAL BUCKLING OF CANTILEVER I SECTIONS BY THE COMPLEMENTARY FUNCTIONS METHOD

Burkay SİVRİ, (Çukurova Üniversitesi, Mühendislik Fakültesi, İnşaat Mühendisliği Bölümü, Adana, Türkiye)

Ahmad Reshad NOORI, (İstanbul Gelişim Üniversitesi, Mühendislik ve Mimarlık Fakültesi, İnşaat Mühendisliği Bölümü, İstanbul, Türkiye)

Beytullah TEMEL (Çukurova Üniversitesi, Mühendislik Fakültesi, İnşaat Mühendisliği Bölümü, Adana, Türkiye)

Konya mühendislik bilimleri dergisi (Online)

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Yıl: 2023 Cilt: 11 Sayı: 0 Sayfa Aralığı: 32 - 41 Metin Dili: İngilizce DOI: 10.36306/konjes.1384189 İndeks Tarihi: 08-01-2024

ANALYSIS OF ELASTIC LATERAL TORSIONAL BUCKLING OF CANTILEVER I SECTIONS BY THE COMPLEMENTARY FUNCTIONS METHOD

Öz:

In this study, an important stability problem, in the design of cantilever I-beams under lateral torsional buckling behavior is theoretically investigated. The elastic lateral torsional buckling behavior of cantilever I beam loaded from shear centers is examined for four different loading types. The governing differential equation is transformed into a set of first-order ordinary differential equations. The Complementary Functions Method (CFM), which is an effective method in solving the first-order differential equation set, is used. Fifth Order Runge-Kutta (RK5) algorithm is used for numerical integrations in CFM, which can transform the boundary value problem into an initial value problem. The obtained results were compared with the existing results in the literature. It has been shown that CFM can be used effectively in the analysis of elastic lateral torsional buckling behavior of I beams.

Anahtar Kelime: Complementary functions method Lateral torsional buckling Stability

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

[1] P. Gupta, S. T. Wang, and G. E. Blandford, “Lateral-torsional buckling of nonprismatic I-beams,” Journal of Structural Engineering, vol. 122, no. 7, pp. 748-755, 1996.
[2] Á. Sapkás and L. P. Kollár, “Lateral-torsional buckling of composite beams,” International Journal of Solids and Structures, vol. 39, no. 11, pp. 2939-2963, 2002.
[3] N. Challamel, A. Andrade, and D. Camotim, “An analytical study on the lateral-torsional buckling of linearly tapered cantilever strip beams,” International Journal of Structural Stability and Dynamics, vol. 7, no. 03, pp. 441-456, 2007.
[4] H. Özbaşaran, “Finite differences approach for calculating elastic lateral torsional buckling moment of cantilever I sections,” Anadolu University Journal of Science and Technology A-Applied Sciences and Engineering, vol. 14, no. 2, pp. 143-152, 2013.
[5] H. Ozbasaran, R. Aydin, and M. Dogan, “An alternative design procedure for lateral–torsional buckling of cantilever I-beams,” Thin-Walled Structures, vol. 90, pp. 235-242, 2015.
[6] T. Yilmaz and N. Kirac, “Analytical and parametric investigations on lateral torsional buckling of European IPE and IPN beams,” International Journal of Steel Structures, vol. 17, pp. 695-709, 2017.
[7] M. Soltani and B. Asgarian, “Lateral-torsional stability analysis of a simply supported axially functionally graded beam with a tapered I-section,” Mechanics of Composite Materials, vol. 56, pp. 39- 54, 2020.
[8] S. P. Timoshenko and J. M. Gere, Theory of Elastic Stability, New York: McGraw-Hill, 1961.
[9] H. Özbaşaran, “Analytical and experimental research of lateral torsional buckling of cantilever steel I-beams (in Turkish),” Ph.D. dissertation, Eskisehir Osmangazi University, Eskisehir, 2013.
[10] B. Sivri and B. Temel, “Buckling analysis of axially functionally graded columns based on Euler- Bernoulli and Timoshenko beam theories (in Turkish),” Cukurova University Journal of the Faculty of Engineering, vol. 37, no. 2, pp. 319-328, 2022.
[11] A.R. Noori, T.A. Aslan, and B. Temel, “Static analysis of FG beams via complemantary functions method,” European Mechanical Science, vol. 4, no. 1, pp. 1-6, 2020.
[12] S.C. Chapra and R. P. Canale, Yazılım Ve Programlama Uygulamalarıyla Mühendisler İçin Sayısal Yöntemler, İstanbul: Literatür Yayınevi, 2003.
[13] Y. Sefa, "Hydrogen elasticity solution of functionally-graded spheres, cylinders and disks." International Journal of Hydrogen Energy , vol. 45, no. 41, pp. 22094-22101, 2020.
[14] K. Celebi, D. Yarimpabuc, and N. Tutuncu, “Free vibration analysis of functionally graded beams using complementary functions method”. Archive of Applied Mechanics, vol. 88, pp. 729-739, 2018.

APA	SIVRI B, Noori A, TEMEL B (2023). ANALYSIS OF ELASTIC LATERAL TORSIONAL BUCKLING OF CANTILEVER I SECTIONS BY THE COMPLEMENTARY FUNCTIONS METHOD. , 32 - 41. 10.36306/konjes.1384189
Chicago	SIVRI BURKAY,Noori Ahmad Reshad,TEMEL Beytullah ANALYSIS OF ELASTIC LATERAL TORSIONAL BUCKLING OF CANTILEVER I SECTIONS BY THE COMPLEMENTARY FUNCTIONS METHOD. (2023): 32 - 41. 10.36306/konjes.1384189
MLA	SIVRI BURKAY,Noori Ahmad Reshad,TEMEL Beytullah ANALYSIS OF ELASTIC LATERAL TORSIONAL BUCKLING OF CANTILEVER I SECTIONS BY THE COMPLEMENTARY FUNCTIONS METHOD. , 2023, ss.32 - 41. 10.36306/konjes.1384189
AMA	SIVRI B,Noori A,TEMEL B ANALYSIS OF ELASTIC LATERAL TORSIONAL BUCKLING OF CANTILEVER I SECTIONS BY THE COMPLEMENTARY FUNCTIONS METHOD. . 2023; 32 - 41. 10.36306/konjes.1384189
Vancouver	SIVRI B,Noori A,TEMEL B ANALYSIS OF ELASTIC LATERAL TORSIONAL BUCKLING OF CANTILEVER I SECTIONS BY THE COMPLEMENTARY FUNCTIONS METHOD. . 2023; 32 - 41. 10.36306/konjes.1384189
IEEE	SIVRI B,Noori A,TEMEL B "ANALYSIS OF ELASTIC LATERAL TORSIONAL BUCKLING OF CANTILEVER I SECTIONS BY THE COMPLEMENTARY FUNCTIONS METHOD." , ss.32 - 41, 2023. 10.36306/konjes.1384189
ISNAD	SIVRI, BURKAY vd. "ANALYSIS OF ELASTIC LATERAL TORSIONAL BUCKLING OF CANTILEVER I SECTIONS BY THE COMPLEMENTARY FUNCTIONS METHOD". (2023), 32-41. https://doi.org/10.36306/konjes.1384189

APA	SIVRI B, Noori A, TEMEL B (2023). ANALYSIS OF ELASTIC LATERAL TORSIONAL BUCKLING OF CANTILEVER I SECTIONS BY THE COMPLEMENTARY FUNCTIONS METHOD. Konya mühendislik bilimleri dergisi (Online), 11(0), 32 - 41. 10.36306/konjes.1384189
Chicago	SIVRI BURKAY,Noori Ahmad Reshad,TEMEL Beytullah ANALYSIS OF ELASTIC LATERAL TORSIONAL BUCKLING OF CANTILEVER I SECTIONS BY THE COMPLEMENTARY FUNCTIONS METHOD. Konya mühendislik bilimleri dergisi (Online) 11, no.0 (2023): 32 - 41. 10.36306/konjes.1384189
MLA	SIVRI BURKAY,Noori Ahmad Reshad,TEMEL Beytullah ANALYSIS OF ELASTIC LATERAL TORSIONAL BUCKLING OF CANTILEVER I SECTIONS BY THE COMPLEMENTARY FUNCTIONS METHOD. Konya mühendislik bilimleri dergisi (Online), vol.11, no.0, 2023, ss.32 - 41. 10.36306/konjes.1384189
AMA	SIVRI B,Noori A,TEMEL B ANALYSIS OF ELASTIC LATERAL TORSIONAL BUCKLING OF CANTILEVER I SECTIONS BY THE COMPLEMENTARY FUNCTIONS METHOD. Konya mühendislik bilimleri dergisi (Online). 2023; 11(0): 32 - 41. 10.36306/konjes.1384189
Vancouver	SIVRI B,Noori A,TEMEL B ANALYSIS OF ELASTIC LATERAL TORSIONAL BUCKLING OF CANTILEVER I SECTIONS BY THE COMPLEMENTARY FUNCTIONS METHOD. Konya mühendislik bilimleri dergisi (Online). 2023; 11(0): 32 - 41. 10.36306/konjes.1384189
IEEE	SIVRI B,Noori A,TEMEL B "ANALYSIS OF ELASTIC LATERAL TORSIONAL BUCKLING OF CANTILEVER I SECTIONS BY THE COMPLEMENTARY FUNCTIONS METHOD." Konya mühendislik bilimleri dergisi (Online), 11, ss.32 - 41, 2023. 10.36306/konjes.1384189
ISNAD	SIVRI, BURKAY vd. "ANALYSIS OF ELASTIC LATERAL TORSIONAL BUCKLING OF CANTILEVER I SECTIONS BY THE COMPLEMENTARY FUNCTIONS METHOD". Konya mühendislik bilimleri dergisi (Online) 11/0 (2023), 32-41. https://doi.org/10.36306/konjes.1384189