Coupled Flexural-Lateral-Torsional of Shear Deformable Thin-Walled Beams with Asymmetric Cross-Section – Closed Form Exact Solution

Mohammed Ali Hjaji

doi:10.18186/jte.64821

Coupled Flexural-Lateral-Torsional of Shear Deformable Thin-Walled Beams with Asymmetric Cross-Section – Closed Form Exact Solution

Yıl 2015, Cilt: 1 Sayı: 7, - , 06.06.2016

Öz

This paper develops the exact solutions for coupled flexurallateral-torsional static response of thin-walled asymmetric open members subjected to general loading. Using the principle of stationary total potential energy, the governing differential equations of equilibrium are formulated as well as the associated boundary conditions. The formulation is based on a generalized TimoshenkoVlasov beam theory and accounts for the effects of shear deformation due to bending and warping, and captures the effects of flexural– torsional coupling due to cross-section asymmetry. Closed-form solutions are developed for cantilever and simply supported beams under various forces. In order to demonstrate the validity and the accuracy of this solution, numerical examples are presented and compared with well-established ABAQUS finite element solutions and other numerical results available in the literature. In addition, the results are compared against non-shear deformable beam theories in order to demonstrate the shear deformation effects.

Anahtar Kelimeler

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Toplam 0 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Bölüm	Makaleler
Yazarlar	Mohammed Ali Hjaji Bu kişi benim
Yayımlanma Tarihi	6 Haziran 2016
Gönderilme Tarihi	23 Ekim 2015
Yayımlandığı Sayı	Yıl 2015 Cilt: 1 Sayı: 7

Kaynak Göster

APA	Hjaji, M. A. (2016). Coupled Flexural-Lateral-Torsional of Shear Deformable Thin-Walled Beams with Asymmetric Cross-Section – Closed Form Exact Solution. Journal of Thermal Engineering, 1(7). https://doi.org/10.18186/jte.64821
AMA	Hjaji MA. Coupled Flexural-Lateral-Torsional of Shear Deformable Thin-Walled Beams with Asymmetric Cross-Section – Closed Form Exact Solution. Journal of Thermal Engineering. Haziran 2016;1(7). doi:10.18186/jte.64821
Chicago	Hjaji, Mohammed Ali. “Coupled Flexural-Lateral-Torsional of Shear Deformable Thin-Walled Beams With Asymmetric Cross-Section – Closed Form Exact Solution”. Journal of Thermal Engineering 1, sy. 7 (Haziran 2016). https://doi.org/10.18186/jte.64821.
EndNote	Hjaji MA (01 Haziran 2016) Coupled Flexural-Lateral-Torsional of Shear Deformable Thin-Walled Beams with Asymmetric Cross-Section – Closed Form Exact Solution. Journal of Thermal Engineering 1 7
IEEE	M. A. Hjaji, “Coupled Flexural-Lateral-Torsional of Shear Deformable Thin-Walled Beams with Asymmetric Cross-Section – Closed Form Exact Solution”, Journal of Thermal Engineering, c. 1, sy. 7, 2016, doi: 10.18186/jte.64821.
ISNAD	Hjaji, Mohammed Ali. “Coupled Flexural-Lateral-Torsional of Shear Deformable Thin-Walled Beams With Asymmetric Cross-Section – Closed Form Exact Solution”. Journal of Thermal Engineering 1/7 (Haziran 2016). https://doi.org/10.18186/jte.64821.
JAMA	Hjaji MA. Coupled Flexural-Lateral-Torsional of Shear Deformable Thin-Walled Beams with Asymmetric Cross-Section – Closed Form Exact Solution. Journal of Thermal Engineering. 2016;1. doi:10.18186/jte.64821.
MLA	Hjaji, Mohammed Ali. “Coupled Flexural-Lateral-Torsional of Shear Deformable Thin-Walled Beams With Asymmetric Cross-Section – Closed Form Exact Solution”. Journal of Thermal Engineering, c. 1, sy. 7, 2016, doi:10.18186/jte.64821.
Vancouver	Hjaji MA. Coupled Flexural-Lateral-Torsional of Shear Deformable Thin-Walled Beams with Asymmetric Cross-Section – Closed Form Exact Solution. Journal of Thermal Engineering. 2016;1(7).