Niğde Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi

Yazarlar: Esra Eylem KARATAŞ

Konular:Mühendislik

DOI:10.28948/ngumuh.764252

Anahtar Kelimeler:Refined beam theory,Carrera unified formulation (CUF),Finite element method

Özet: In this study, lineer static analysis of a rectangular beam with compact cross-section for different end boundary conditions subjected to uniformly distributed load is analyzed within the framework of Carrera Unified Formulation (CUF), which is one of the unified beam theory. The unified formulation of cross-section displacement field is expressed by employing both Taylor and Lagrange type expansion functions defined over the cross-section. The Principle of Virtual Displacements (PVD) is used to obtain the governing differential equations and the Finite Element formulation. First, by using separately both Taylor and Lagrange types of expansion functions for a rectangular beam with compact cross-section with different end boundary conditions study of convergence and comparison with results obtained from the analytical solutions in the literature is performed in order to examine the reliability of the results obtained. Then, using the appropriate expansion function, lineer static analysis of sample problems is made within the framework of CUF and numerical results are presented with the help of tables and graphics. The computer algorithm used in the present paper is developed by MUL2 group and tested by many studies, available in the relevant literature.

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