Kesme kuvvetini hesaba katarak uçlarında rijit bölgeler bulunan elastik bağlı çerçevelerin doğrusal analizi

Halil GÖRGÜN; Sercan KAYMAK; Asım ÇELİK

Makale detayları

Kesme kuvvetini hesaba katarak uçlarında rijit bölgeler bulunan elastik bağlı çerçevelerin doğrusal analizi

Yazarlar:

Halil GÖRGÜN | Sercan KAYMAK | Asım ÇELİK

Yayıncı:

Dicle University

Dergi:

Dicle Üniversitesi Mühendislik Fakültesi Mühendislik Dergisi 2012 Vol.3 Issue 1, pp.5-19

Belge Tipi:

Makale

Yayın Tarihi:

5/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000950862

Sıklık:

Üç Aylık

eISSN:

2146-4391

pISSN:

1309-8640

Anahtar kelimeler:

Özet:

 

In this study, the linear analysis of frames with
 linear prismatic members, which may have rigid end
 sections and rotational semi-rigid end connections,
 has been carried out taking into account the effects
 of shear deformations.
 When analysing and designing reinforced precast
 concrete frames, and steel frames the real behaviour
 of beam-to-column connections are generally
 idealized either pinned or fully rigid. The notions of
 the two alternatives either pinned or fully rigid
 connections are simply the extreme cases of the
 actual connection behaviour, and experimental
 works up to date, many of which are referred to in
 section of previous studies of this paper show
 without doubt that true connections exhibit
 characteristics over a wide spectrum between these
 two extreme cases. 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. Most connection normally
 regarded as fully rigid often display some flexural
 flexibility, while connections which are regarded as
 pinned, implying no moment transfer, posses some
 flexural stiffness. It would therefore seem more
 correct that to classify all the behaviour of beam-tocolumn
 connections in reinforced precast concrete
 frames, and steel frames under the heading of semirigid
 connections, while keeping in mind that pinned
 and fully rigid connections as extreme cases.
 Here, the linear analysis of planar frames with
 semi-rigid connections and rigid end sections is
 performed. Modified stiffness coefficients in the
 shear wall axis of the beam connected to the shear
 wall are obtained with assumption that the rigid
 strain would be at the part between the elastic beam
 end and the shear wall axis.
 The matrix stiffness method of analysis was
 modified to allow for flexible connections and rigid
 end parts.
 The stiffness matrices are modified by correction
 matrices and the resulting linear equations are
 solved for as in the normal stiffness method. The
 advantages of the matrix stiffness method are that it
 can be programmed so that relatively large frames
 can be analyzed with ease and that the use of
 interactive techniques would permit the inclusion of
 improvements in the end restraint representation.
 The linear semi-rigid connection behaviour is used
 to modify the member stiffness matrices and the
 fixed-end forces vector.
 The current paper considers the linear structural
 analysis of planar frames with flexibly connected
 members having rigid end sections 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 the stiffness coefficients of the
 stiffness matrix of linear prismatic members has
 been found using pertinent differential equations
 assuming there are rigid sections of arbitrary
 lengths and rotational beam-to-column connections
 at the both ends. This kind of members, which may
 have rigid end sections, show up when there are
 lintel beams connecting shear walls and column
 connecting high beams. Then, the stiffness
 coefficients of the stiffness matrix of beams itself
 have been obtained, taking shear deformations into
 consideration. Finally, 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.
 A computer program has been prepared for the
 numerical applications of the analytical results. This
 program carries out the linear and also the second
 order structural analysis of planar frames and
 pierced shear walls using modified stiffness matrix
 method, taking shear deformations into
 considerations, not only the effects of bending and
 axial deformations, but also due to shear, as well.
 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.

 

Bu makalede, kayma deformasyonlarının etkisi de göz önüne alınarak sonsuz rijit kısımları bulunan elastik
 bağlı çubuklardan oluşan düzlemsel çerçevelerin doğrusal analizi yapılmış ve bu konuda bir bilgisayar
 programı geliştirilmiştir. Önce, her iki ucunda rijit bölgeler ve dönel yaylar bulunan bir çubuk için rijitlik
 katsayıları elastik bölgesindekiler cinsinden elde edilmiştir. Daha sonra, ikinci mertebe teorisi kullanılarak
 ve kayma deformasyonları hesaba katılarak rijitlik katsayıları çıkarılmıştır. En sonunda, doğrusal prizmatik
 bir çubuğun üniform yayılı yük, tekil yük, doğrusal yayılı yük, simetrik yamuk şeklinde yayılı yük ve simetrik
 olmayan üçgen şeklinde yayılı ara yükler için ankastrelik uç kuvvetleri elde edilmiştir. Literatürde bulunan
 bazı sonuçlarla karşılaştırmalar yapılmış ve aralarında uyum olduğu görülmüştür.

Makale detayları

Kesme kuvvetini hesaba katarak uçlarında rijit bölgeler bulunan elastik bağlı çerçevelerin doğrusal analizi

Yazarlar:

Halil GÖRGÜN | Sercan KAYMAK | Asım ÇELİK

Yayıncı:

Dicle University

Dergi:

Dicle Üniversitesi Mühendislik Fakültesi Mühendislik Dergisi 2012 Vol.3 Issue 1, pp.5-19

Belge Tipi:

Makale

Yayın Tarihi:

5/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000950862

Sıklık:

Üç Aylık

eISSN:

2146-4391

pISSN:

1309-8640

Rijit uçlu bölgeler

Kayma deformasyonları

Elastik bağlı çubuklar

Düzlemsel çerçeveler

Doğrusal analiz.

Sayı

Makale detayları

Kesme kuvvetini hesaba katarak uçlarında rijit bölgeler bulunan elastik bağlı çerçevelerin doğrusal analizi

Yazarlar: Halil GÖRGÜN | Sercan KAYMAK | Asım ÇELİK

Yayıncı: Dicle University

Dergi: Dicle Üniversitesi Mühendislik Fakültesi Mühendislik Dergisi 2012 Vol.3 Issue 1, pp.5-19

Belge Tipi: Makale

Yayın Tarihi: 5/2012

Belge Dili: Türkçe

Document ID (Org No.): 2000950862

Sıklık: Üç Aylık

eISSN: 2146-4391

pISSN: 1309-8640

Rijit uçlu bölgeler

Kayma deformasyonları

Elastik bağlı çubuklar

Düzlemsel çerçeveler

Doğrusal analiz.

Sayı

Yazarlar:

Halil GÖRGÜN | Sercan KAYMAK | Asım ÇELİK

Yayıncı:

Dicle University

Dergi:

Dicle Üniversitesi Mühendislik Fakültesi Mühendislik Dergisi 2012 Vol.3 Issue 1, pp.5-19

Belge Tipi:

Makale

Yayın Tarihi:

5/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000950862

Sıklık:

Üç Aylık

eISSN:

2146-4391

pISSN:

1309-8640