Sonlu Elemanlar Yöntemi ile Eğri Eksenli Petek Kirişlerin Eğilme Analizi

Yıl 2023, , 73 - 84, 30.03.2023

Duygu Ertürkmen Ahmad Reshad Noori

https://doi.org/10.21605/cukurovaumfd.1273712

Cited By: 1

Öz

Bu çalışmada, eğri eksenli petek kirişlerin statik davranışı, üç boyutlu sonlu elemanlar yöntemi ile araştırılmıştır. Çalışmanın temel amacı, gövde boşluk geometrisinin petek kirişlerin yer değiştirme ve gerilme değerlerine etkisinin detaylı bir şekilde araştırılmasıdır. Analizlerde daire, kare, beşgen ve altıgen olacak şekilde 4 farklı gövde boşluk tipi kullanılmıştır. Sonlu elemanlar yöntemi ile model kurulurken 10 düğümlü tetrahedral tipi sonlu eleman kullanılmıştır. Bu çalışmada kullanılan malzeme lineer izotropik ve homojen olup, çeliğin mekanik özellikleri kullanılmıştır. Sınır koşulları ankastre – ankastre, ankastre – basit ve ankastre – serbest olarak ele alınmıştır. Sonuçlar, IPE220 ve IPE300 profillerinden oluşan daire eksenli petek kirişler için detaylı bir şekilde sunulmuştur. Yapılan tahkiklere göre gövde boşluk tipinin, bu tür yapı elemanlarının yer değiştirme değerleri, von-Mises gerilmeleri ve maksimum asal gerilme değerleri üzerinde önemli ölçüde etkili olduğu görülmektedir.

Anahtar Kelimeler

Sonlu elemanlar yöntemi, Eğri eksenli kirişler, Eğilme davranışı, Gerilme analizi, Statik analiz

Bending Analysis of Curved Castellated Beams Via the Finite Element Method

Öz

In this study, the static behavior of curved castellated beams is investigated via the three-dimensional finite element method. The main purpose of the study is to investigate the effect of the geometry of the web opening on the displacement and stress values of the castellated beams in detail. In the analysis, 4 different web opening types circle, square, pentagon, and hexagon are used. To generate the models via the finite element method a 10-node tetrahedral type finite element is implemented. The material used in this study is linear isotropic homogeneous and the mechanical properties of steel are used. Fixed – fixed, fixed – pinned and fixed – free are considered as boundary conditions. The results are presented in detail for circular castellated beams made up of IPE220 and IPE300 profiles. Based on the results, it is seen that the type of web opening has a significant effect on the displacements, von-Mises stresses, and maximum principal stress values of the considered structures.

Anahtar Kelimeler

Finite element method, Curved beams, Bending response, Stress analysis, Static analysis

Kaynakça

• ⦁ Jiang, L.Y., Liu, M.X., Kang, L.Q., 2012. Studies on in-Plane Stability Behavior of Arches with Web Openings. Applied Mechanics and Materials, 193-194, 1296-1299.
• ⦁ Elaiwi, S., Kim, B., Li, L.Y., 2017. Bending Analysis of Continuous Castellated Beams. The 2017 World Congress on Advances in Structural Engineering and Mechanics (ASEM17), llsan (Seoul), Korea, 28 August- 1 September 2017.
• ⦁ Pandya, S., Dhankot, M., 2017. FE Analysis of Curved Castellated Girder for Variable Thermal Condition. International Conference on Research and Innovations in Science, Engineering and Technology. Kalpa Publications in Civil Engineering, 1, 192-197.
• ⦁ Zaher, O.F., Yossef, N.M., El-Boghdadi, M.H., Dabaon, M.A., 2018. Structural Behaviour of Arched Steel Beams with Cellular Openings. Journal of Constructional Steel Research, 148, 756-767.
• ⦁ Oliveira, J.P., De, Cardoso, D.C.T., Sotelino, E.D., 2019. Elastic Flexural Local Buckling of Litzka Castellated Beams: Explicit Equations and FE Parametric Study. Engineering Structures, 186, 436-445.
• ⦁ Chang, S., Yang, M., Tian, L., Yuan, P., 2020. Bending Behavior of Steel Octagon-Web Beam. Advances in Structural Engineering, 23(12), 2694-2708.
• ⦁ Jia, L.G., Bi, R., Lang, Y.X., Li, X.F., 2020. Experimental Study and Theoretical Analysis on Seismic Performance of Castellated Beam with Hexagonal Holes. Advanced Steel Construction, 16(3), 233-245.
• ⦁ Mehetre, A.J., Talikoti, R.S., 2020. Effect of Fillet Radii on Moment Carrying Capacity of Sinusoidal Web Opening Castellated Steel Beams in Comparison with Hexagonal Web Openings. Iranian Journal of Science and Technology, Transactions of Civil Engineering, 44(1), 151-161.
• ⦁ Morkhade, S.G., Lokhande, R.S., Gund, U.D., Divate, A.B., Deosarkar, S.S., Chavan, M.U., 2020. Structural Behaviour of Castellated Steel Beams with Reinforced Web Openings. Asian Journal of Civil Engineering, 21(6), 1067-1078.
• ⦁ Waryosh, W.A., Ali, A.S., 2020. Effects of Web Opening Size on the Behavior of Castellated Concrete Geopolymer Composite Beam. International Journal of Latest Engineering Research and Applications (IJLERA), ISSN: 2455-7137, 05(05), 17-28.
• ⦁ Rajana, K., Tsavdaridis, K.D., Koltsakis, E., 2020. Elastic and Inelastic Buckling of Steel Cellular Beams under Strong-Axis Bending. Thin-Walled Structures, 156, 106955.
• ⦁ Xi, K., Zhang, Y., 2020. Design Method of Compression-Bending Arches with Web Openings Considering Local Buckling of Web. Journal of Physics: Conference Series, IOP Publishing, 1676(1), 012116.
• ⦁ Abu-Sena, A.B.B., Fares, M.W., El-Tobgy, H.H., 2021. Experimental and Numerical Investigation of the Behavior of Castellated Steel Beam-Columns. International Journal of Scientific and Technology Research, 10(4), ISSN: 2277-8616.
• ⦁ Al-Mawashee, H.S., Al-Kannoon, M.A.A., 2021. Flexural Strength of Castellated Beams with Corrugated Webs. Journal of Physics: Conference Series, IOP Publishing, 1973(1), 012213.
• ⦁ Anbarasu, M., Pandey, A.K.P.K., Patton, M.L., Carvalho, H., 2021. Testing and Modelling of Hot-Rolled Steel Castellated Hollow Tubular Beams. Structures, 34, 4025-4040.
• ⦁ Barkiah, I., Darmawan, A.R., 2021. Comparative Analysis of the Flexural Capacity of Conventional Steel Beams with Castellated Beams. IOP Conference Series: Earth and Environmental Science, IOP Publishing, 780(1), 012013.
• ⦁ Braga, J.J., Linhares, D.A., Cardoso, D.C., Sotelino, E.D., 2021. Failure Mode and Strength Prediction of Laterally Braced Litzka-Type Castellated Beams. Journal of Constructional Steel Research, 184, 106796.
• ⦁ Doori, S., Noori, A.R., 2021. Finite Element Approach for the Bending Analysis of Castellated Steel Beams with Various Web Openings. ALKU Journal of Science, 3(2), 38-49, ISSN: 2667-7814.
• ⦁ Pandey, D., Rathour, T.S., 2021. Numerical Analysis and Validation with Experimental Method of Castellated Steel Beams with Hexagonal Web Opening. International Journal of Research in Engineering, Science and Management, 4(3), 66-69.
• ⦁ Singh, S., 2021. Static Bending Analysis of Arbitrary Supported Steel Beams with Circular Web Opening Using Finite Element Method. Materials Today: Proceedings, 37, 3700-3705.
• ⦁ Subramanian, R., Jagadeesan, K., 2021. Experimental Analysis and Study on Shear Performances of Castellated Beam Chassis under Three Cases of Stiffener. Journal of Engineering Research, DOI:10.36909/jer.11907.
• ⦁ Weidlich, C.M., Sotelino, E.D., Cardoso, D.C., 2021. An Application of the Direct Strength Method to the Design of Castellated Beams Subject to Flexure. Engineering Structures, 243, 112646.
• ⦁ Nabil, A., Afefy, H.M., Kassem, N.M., 2022. Ultimate Capacity of Reinforced Concrete Castellated Beams Subjected to External Pre-Stressing. Engineering Structures, 250, 113471.
• ⦁ ANSYS, Inc Release Ansys 2022 R2, Canonsburg, PA, 2022.
• ⦁ Mechanical APDL Element Reference, 2013, Inc., 275 Technology Drive, Canonsburg, PA 15317.