Year 2019, Volume 8, Issue 2, Pages 628 - 641 2019-06-28

Çeşitli Parametrelere Göre Ortotrop Euler-Bernoulli ve Timoshenko Kirişlerinin Statik Analizi
Static Analysis of Orthotropic Euler-Bernoulli and Timoshenko Beams With Respect to Various Parameters

Mustafa SARAÇOĞLU [1] , Gökhan GÜÇLÜ [2] , Fethullah USLU [3]

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Bu çalışmada kiriş uzunluğu boyunca ortotrop kirişlerin çökmeleri Euler-Bernoulli ve Timoshenko kiriş teorilerine göre statik analiz yapılarak hesaplanmıştır. Malzemelerin mekanik özellikleri, liflerin oryantasyon açısına bağlı olarak değiştiği için, yönetici denklemlerin türetilmesi, eşdeğer elastisite modülü ve eşdeğer kayma modülü kullanılarak gerçekleştirilmiştir. Ortotrop kirişler eşdeğer modüller kullanılarak izotrop kirişler olarak modellenmiştir. Farklı ortotrop malzemelerden oluşan iki sayısal örnek farklı sınır koşulları ve yükleme durumları için verilmiştir. Liflerin oryantasyon açılarının değişiminin çökme değerlerine etkisi de ele alınmıştır. Ortotrop kirişlerin statik analizinde oryantasyon açısı, malzeme özellikleri, uzunluk-derinlik oranı parametreler olarak alınmıştır. Sonuçlar ayrıca izotrop olan çelik malzemesi ile karşılaştırılmış ve faydalı olabilecek tablo ve grafikler şeklinde sunulmuştur.


In this study, deflections of orthotropic beams along the beam length are calculated by using static analysis according to Euler-Bernoulli and Timoshenko beam theories. Since the mechanical properties of the materials change as the orientation angle of fibers changes, the formulation is carried out using the equivalent Young’s modulus and the equivalent shear modulus. Orthotropic beams are modeled as isotropic beams by using equivalent moduli. Governing equations are derived. Two numerical examples with different orthotropic materials are given for different boundary and loading conditions. The effect of changing the orientation angle of the fibers on the deflection values is also considered. Orientation angle, material properties, length to depth ratio has been considered as parameters in the static analysis of orthotropic beams. Results are also compared with steel which is an isotropic material and presented in the form of tables and graphs which may be useful.


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Primary Language en
Subjects Science
Journal Section Araştırma Makalesi
Authors

Orcid: 0000-0003-3842-5699
Author: Mustafa SARAÇOĞLU (Primary Author)
Institution: KÜTAHYA DUMLUPINAR ÜNİVERSİTESİ, MÜHENDİSLİK FAKÜLTESİ
Country: Turkey


Orcid: 0000-0003-2931-9501
Author: Gökhan GÜÇLÜ
Institution: KÜTAHYA DUMLUPINAR ÜNİVERSİTESİ, MÜHENDİSLİK FAKÜLTESİ
Country: Turkey


Orcid: 0000-0001-8057-5119
Author: Fethullah USLU
Institution: KÜTAHYA DUMLUPINAR ÜNİVERSİTESİ, MÜHENDİSLİK FAKÜLTESİ
Country: Turkey


Dates

Publication Date: June 28, 2019

Bibtex @research article { bitlisfen495517, journal = {Bitlis Eren Üniversitesi Fen Bilimleri Dergisi}, issn = {2147-3129}, eissn = {2147-3188}, address = {Bitlis Eren University}, year = {2019}, volume = {8}, pages = {628 - 641}, doi = {10.17798/bitlisfen.495517}, title = {Static Analysis of Orthotropic Euler-Bernoulli and Timoshenko Beams With Respect to Various Parameters}, key = {cite}, author = {SARAÇOĞLU, Mustafa and GÜÇLÜ, Gökhan and USLU, Fethullah} }
APA SARAÇOĞLU, M , GÜÇLÜ, G , USLU, F . (2019). Static Analysis of Orthotropic Euler-Bernoulli and Timoshenko Beams With Respect to Various Parameters. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 8 (2), 628-641. DOI: 10.17798/bitlisfen.495517
MLA SARAÇOĞLU, M , GÜÇLÜ, G , USLU, F . "Static Analysis of Orthotropic Euler-Bernoulli and Timoshenko Beams With Respect to Various Parameters". Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 8 (2019): 628-641 <http://dergipark.org.tr/bitlisfen/issue/46476/495517>
Chicago SARAÇOĞLU, M , GÜÇLÜ, G , USLU, F . "Static Analysis of Orthotropic Euler-Bernoulli and Timoshenko Beams With Respect to Various Parameters". Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 8 (2019): 628-641
RIS TY - JOUR T1 - Static Analysis of Orthotropic Euler-Bernoulli and Timoshenko Beams With Respect to Various Parameters AU - Mustafa SARAÇOĞLU , Gökhan GÜÇLÜ , Fethullah USLU Y1 - 2019 PY - 2019 N1 - doi: 10.17798/bitlisfen.495517 DO - 10.17798/bitlisfen.495517 T2 - Bitlis Eren Üniversitesi Fen Bilimleri Dergisi JF - Journal JO - JOR SP - 628 EP - 641 VL - 8 IS - 2 SN - 2147-3129-2147-3188 M3 - doi: 10.17798/bitlisfen.495517 UR - https://doi.org/10.17798/bitlisfen.495517 Y2 - 2019 ER -
EndNote %0 Bitlis Eren Üniversitesi Fen Bilimleri Dergisi Static Analysis of Orthotropic Euler-Bernoulli and Timoshenko Beams With Respect to Various Parameters %A Mustafa SARAÇOĞLU , Gökhan GÜÇLÜ , Fethullah USLU %T Static Analysis of Orthotropic Euler-Bernoulli and Timoshenko Beams With Respect to Various Parameters %D 2019 %J Bitlis Eren Üniversitesi Fen Bilimleri Dergisi %P 2147-3129-2147-3188 %V 8 %N 2 %R doi: 10.17798/bitlisfen.495517 %U 10.17798/bitlisfen.495517
ISNAD SARAÇOĞLU, Mustafa , GÜÇLÜ, Gökhan , USLU, Fethullah . "Static Analysis of Orthotropic Euler-Bernoulli and Timoshenko Beams With Respect to Various Parameters". Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 8 / 2 (June 2019): 628-641. https://doi.org/10.17798/bitlisfen.495517
AMA SARAÇOĞLU M , GÜÇLÜ G , USLU F . Static Analysis of Orthotropic Euler-Bernoulli and Timoshenko Beams With Respect to Various Parameters. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2019; 8(2): 628-641.
Vancouver SARAÇOĞLU M , GÜÇLÜ G , USLU F . Static Analysis of Orthotropic Euler-Bernoulli and Timoshenko Beams With Respect to Various Parameters. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2019; 8(2): 641-628.