Tamamlayıcı fonksiyonlar yöntemi ile yanal yüklü kazıkların statik analizi

Öz

Bu çalışmada, yanal yüklü kazıkların statik analizi için Tamamlayıcı Fonksiyonlar Yöntemi (TFY) uygulanmıştır. Olayı idare eden kanonik denklemler, ince çubuk teorisine göre elde edilerek TFY ile başlangıç değer problemine indirgenmiştir. Kazığın malzemesi izotropik homojen ve kesit geometrik özellikleri ise üniform olarak kabul edilmiştir. Zemin davranışını temsil eden yay modeli lineer ve nonlineer olarak ele alınmıştır. Ele alınan kazık problemler serbest uçlu ve sabit uçlu olarak çözülerek sınır koşullarının deplasmanlar ve iç kuvvetler üzerindeki etkisi araştırılmıştır. Yanal yatak katsayısı değerlerinin ve yatak katsayısı sabitinin kumlu zeminler için alacağı değerlerinin yanal yüklü kazıkların eğilme davranışı üzerindeki etkisi parametrik olarak sunulmuştur. Elde edilen sonuçlar daha önce yapılan araştırmaların sonuçları ile karşılaştırılmıştır ve uyum içinde olduğu görülmüştür.

Anahtar Kelimeler

• Tamamlayıcı fonksiyonlar yöntemi
• Yanal yüklü kazık
• Statik analiz
• P-y eğrileri
• Kanonik denklemler

Static analysis of laterally loaded piles by complementary functions method

Abstract

In this study, the Complementary Functions Method (CFM) is applied for the static analysis of laterally loaded piles. The canonical equations governing the phenomenon are obtained according to the classic beam theory and simplified to an initial value problem by CFM. The material of the pile is assumed to be isotropic homogeneous and the geometrical properties in the cross-section are considered as uniform. The spring model representing the soil behavior is taken as linear and nonlinear. The effect of boundary conditions on displacements and internal forces are investigated by solving pile problems as free- and fixed-head. The effect of the values of the lateral bearing coefficient and the bearing constant for sandy soils on the flexural behavior of laterally loaded piles is presented parametrically. The obtained results are compared with the results of previous studies and found to be in agreement.

Keywords

• Complementary functions method
• Laterally loaded pile
• Static analysis
• P-y curves
• Canonical equations

Kaynakça

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