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SU İÇERİSİNDE AĞIRLIĞI DİKKATE ALINAN BİR KOLONUN BURKULMA ANALİZİ

BUCKLING ANALYSES OF A HEAVY COLUMN CONSIDERATED IN WATER

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Abstract (2. Language): 
In 1744, the critical buckling load with the assumption of uniform cross-section without weight of column were computed by Euler. Whenever an economical solution is required, the weight of column must be considered for solution of buckling analyses. In literature, the critical buckling load and asymptotic behaviour of heavy column in condition of atmosphere have inverstigated for ten different support types. When this literature is examined, it is stated that the differential equations of for four different suppport types in condition of water is similar to condition of atmosphere. However, the differential equations of other four different suppport types in condition of water is different from to condition of atmosphere. And it is stated that the critical buckling load these different suppport types in condition of water is not calculated from condition of atmosphere. The goals of this paper are to develop self weight buckling of column at its top fixed and lower end fixed-roller supported in condition of water. This paper, presents a analytical method for calculating the critical buckling load of the heavy column.
Abstract (Original Language): 
EULER, 1744 yılında sabit enine kesitli çubukların kritik burkulma kuvvetlerini, çubuk ağırlığını ihmal ederek hesaplamıştır. Daha ekonomik çubuklar için, çubuk ağırlığının da dikkate alınması ve çözüm yapılması gerekir. Literatürde, 10 değişik mesnetleme durumu için çubuk ağırlığı da dikkate alınarak hava ortamında kritik burkulma kuvvetleri ve asimptotik burkulma kuvvetleri hesaplanmış ve bu kuvvetlerden hareketle 4 mesnetleme durumu için sudaki kritik kuvvetlerin bulunabileceği, diğer 6 mesnetleme durumuna ait sudaki kritik burkulma kuvvetlerinin ise hava ortamındakinden hesaplanamayacağı belirtilmiştir. Bu çalışmada, bugüne kadar kritik burkulma kuvvetleri hesaplanmamış, su içerisinde, üst ucu ankastre mesnetli alt ucu ankastreli kayıcı mesnetli çubuk için çözüm verilmiştir.
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REFERENCES

References: 

Euler, L. 1744. De Curvis Elasticis, Lausanne und Genf.
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Watson, G.N. 1966. A Treatise on the Theory of Bessel Functions. Cambridge University Press, Second Edition.
Willers, F.A. 1941. Das knicken schwerer gestânge. Z. Angew Math. Mech. 21, 43-51.

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