Sonlu Elemanlar Yöntemi ile Eğri Eksenli Petek Kirişlerin Eğilme Analizi

Bu çalışmada, eğri eksenli petek kirişlerin statik davranışı, üç boyutlu sonlu elemanlar yöntemi ile araştırılmıştır. Çalışmanın temel amacı, gövde boşluk geometrisinin petek kirişlerin yer değiştirme ve gerilme değerlerine etkisinin detaylı bir şekilde araştırılmasıdır. Analizlerde daire, kare, beşgen ve altıgen olacak şekilde 4 farklı gövde boşluk tipi kullanılmıştır. Sonlu elemanlar yöntemi ile model kurulurken 10 düğümlü tetrahedral tipi sonlu eleman kullanılmıştır. Bu çalışmada kullanılan malzeme lineer izotropik ve homojen olup, çeliğin mekanik özellikleri kullanılmıştır. Sınır koşulları ankastre – ankastre, ankastre – basit ve ankastre – serbest olarak ele alınmıştır. Sonuçlar, IPE220 ve IPE300 profillerinden oluşan daire eksenli petek kirişler için detaylı bir şekilde sunulmuştur. Yapılan tahkiklere göre gövde boşluk tipinin, bu tür yapı elemanlarının yer değiştirme değerleri, von-Mises gerilmeleri ve maksimum asal gerilme değerleri üzerinde önemli ölçüde etkili olduğu görülmektedir.

Anahtar Kelimeler:

Sonlu elemanlar yöntemi, Eğri eksenli kirişler, Eğilme davranışı, Gerilme analizi, Statik analiz

Bending Analysis of Curved Castellated Beams Via the Finite Element Method

In this study, the static behavior of curved castellated beams is investigated via the three-dimensional finite element method. The main purpose of the study is to investigate the effect of the geometry of the web opening on the displacement and stress values of the castellated beams in detail. In the analysis, 4 different web opening types circle, square, pentagon, and hexagon are used. To generate the models via the finite element method a 10-node tetrahedral type finite element is implemented. The material used in this study is linear isotropic homogeneous and the mechanical properties of steel are used. Fixed – fixed, fixed – pinned and fixed – free are considered as boundary conditions. The results are presented in detail for circular castellated beams made up of IPE220 and IPE300 profiles. Based on the results, it is seen that the type of web opening has a significant effect on the displacements, von-Mises stresses, and maximum principal stress values of the considered structures.

Keywords:

Finite element method, Curved beams, Bending response, Stress analysis, Static analysis,

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