ÇUBUK SİSTEMLERİN EĞİLME VE BURULMA BURKULMASI İÇİN RİJİTLİK MATRİSİ HESABI VE KEMERLERE UYGULAMA.

Second order effects caused by internal forces in slender systems generate additional internal forces and deflections. Stability problems occur, when the additional internal forces and deflections do not converge (flexural buckling). Furthermore, lateral buckling is also possible due to very small rotations perpendicular to the beam cross-section (lateral torsional buckling). This stability problem has been studied by number of researchers and is one of the main topics in engineering. Except certain types of structures, it is difficult to formulate a closed-form solution. It will be helpful to develop numerical solutions for these systems. In this study, stiffness matrix calculation with respect to both flexural and torsional buckling is presented. Buckling problems in curved or tapered crosssection systems can be analyzed by dividing the beams into finite segments. Within this framework, an application is presented regarding the flexural and lateral torsional buckling in 2nd degree parabolic arches. [ABSTRACT FROM AUTHOR]