HALİL GÖRGÜN, Senem YILMAZ, Orhan AKSOĞAN

The linear analysis of planar frames composed of flexibly connected members taking shear deformations into consideration

Bu makalede, kayma deformasyonlarının etkisi de göz önüne alınarak elastik bağlı çubuklardan oluşan düzlemsel çerçevelerin lineer analizi ele alınmış ve bu konuda tasarım amaçlı bir bilgisayar programı hazırlanmıştır. Bu amaçla, önce diferansiyel denklemler kullanılarak ve kayma deformasyonları hesaba katılarak uçlarında dönel yaylar bulunan bir eleman için rijitlik matrisi bulunmuştur. Daha sonra, üniform yayılı yük, tekil yük, doğrusal yayılı yük, simetrik yamuk şeklinde yayılı yük ve simetrik olmayan üçgen şeklinde yayılı yük için ankastrelik uç kuvvetleri bulunmuştur. Bazı problemleri değişik şekillerde çözerek, ilgili bilgisayar programının doğruluğu sonuçların uyumu ile gösterilmiştir. Bu araştırmadaki yöntemle literatürdeki bazı örnekler ele alınmış ve sayısal sonuçların literatürdekilerle uyum içinde oldukları görülmüştür.

Kesme kuvvetini hesaba katarak elastik bağlı düzlemsel çerçevelerin lineer analizi

The current paper considers the linear structural analysis of planar frames with flexibly connected members taking into consideration the effect of shear deformations and a computer program has been prepared for the pertinent design purposes. To accomplish the foregoing goal, first using pertinent differential equations the stiffness matrix of a member with rotational springs at the ends has been found, taking shear deformations into consideration. Then, the fixed end forces have been found for a uniformly distributed load, a concentrated load, a linearly distributed load, a symmetric trapezoidal distributed load and a nonsymmetrical triangular distributed load. Solving some problems in different ways, the validity of the pertinent computer program has been proved by the close match of the results. Some examples from the literature have been treated by the present method and a perfect match has been observed between the corresponding numerical results.

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