The linear analysis of frames composed of flexibly connected members considering shear deformations
Journal Name:
- Dicle Üniversitesi Mühendislik Fakültesi Mühendislik Dergisi
Keywords (Original Language):
| Author Name | University of Author | Faculty of Author |
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Abstract (2. Language):
In the analysis and design of reinforced precast concrete frames, and steel frames the real behaviour of beam-to-column connections are generally idealized either pinned or fully rigid. The rigid connection idealization indicates that relative rotation of the connection does not exist and the end moment of the beam is entirely transferred to the columns. In contrast to the rigid connection assumption, the pinned connection idealization indicates that any restraint does exist for rotation of the connection and the connection moment is zero. Although these idealizations simplify the analysis and design process, the predicted response of the frame may be different from its real behaviour 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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Abstract (Original Language):
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
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