CORRELATION OF EFFECTIVE INERTIA OF CASTELLATED BEAMS WITH SPAN-TO-DEPTH RATIO

Sutedjo Krisnadi; Ignatius Sudarsono; Rully Savitri Nurvita; Nadiv Raka Pradifa

doi:10.21009/jpensil.v15i2.66798

Authors

Sutedjo Krisnadi Program Studi Teknik Sipil, Fakultas Teknik, Universitas Langlangbuana, Jalan Karapitan 116, Bandung, Jawa Barat, 40261, Indonesia
Ignatius Sudarsono Program Studi Teknik Sipil, Fakultas Teknik, Universitas Langlangbuana, Jalan Karapitan 116, Bandung, Jawa Barat, 40261, Indonesia
Rully Savitri Nurvita Program Studi Teknik Sipil, Fakultas Teknik, Universitas Langlangbuana, Jalan Karapitan 116, Bandung, Jawa Barat, 40261, Indonesia
Nadiv Raka Pradifa Program Studi Teknik Sipil, Fakultas Teknik, Universitas Langlangbuana, Jalan Karapitan 116, Bandung, Jawa Barat, 40261, Indonesia

DOI:

https://doi.org/10.21009/jpensil.v15i2.66798

Keywords:

castellated steel beam, moment of inertia, finite element analysis, shear deformation, L/dg ratio

Abstract

Material efficiency in structural systems can be enhanced through cross-sectional optimization of structural elements, one of which is the use of castellated steel beams. A castellated beam has an increased section depth without adding material volume from the original beam. Although several studies have investigated the flexural performance of castellated beams, analytical studies on the moment of inertia, particularly those considering the effect of shear deformation, remain limited. This study compares the net moment of inertia (Inett) based on the AISC Design Guide 31 with the effective moment of inertia (Ieff) obtained from Finite Element Analysis (FEA). Beam models were developed with total depths (dg) ranging from 450 mm to 1350 mm and span lengths (L) from 6000 mm to 18000 mm. The Ieff values were derived from the midspan deflection under uniformly distributed loading and correlated with the L/dg ratio. Results show that Ieff increases with the increasing L/dg and tends to converge. Empirical correlation between L/dg and Inett/Ieff was obtained with a coefficient of determination of R2 = 0.9412. When L/dg ≥ 18, the Inett/Ieff ratio is less than 1.1, indicating that the difference between Inett and Ieff is below 10%. Therefore, the Inett can be safely used for structural design. The findings provide a practical guideline for estimating the effective flexural stiffness of castellated beams and contribute to the development of analytical and numerical approaches for their structural design.

References

Abhale, S. S., & Wakchaure, M. R. (2017). Study of Castellated Beam by Using Different Codes. International Journal of Engineering Sciences & Research Technology, 6(2), 748–751. https://www.ijesrt.com/Old_IJESRT/issues pdf file/Archive-2017/February-217/111.pdf

Al-Thabhawee, H. W. A., & Al-Kannoon, M. A.-A. (2018). Improving Behavior of Castellated Beam by Adding Spacer Plat and Steel Rings. Journal of University of Babylon for Engineering Sciences, 26(4), 331–344. https://doi.org/10.29196/jub.v26i4.810

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. https://doi.org/10.1016/j.istruc.2021.10.003

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, 780(1). https://doi.org/10.1088/1755-1315/780/1/012013

Budi, L., Sukamta, & Partono, W. (2017). Optimization Analysis of Size and Distance of Hexagonal Hole in Castellated Steel Beams. Procedia Engineering, 171, 1092–1099. https://doi.org/10.1016/j.proeng.2017.01.465

Deepha, R., & Jayalekshmi, S. (2020). Finite Element Analysis on Shear Strength of a Castellated Beam with Hexagonal Web Opening. IOP Conference Series: Materials Science and Engineering, 1006(1). https://doi.org/10.1088/1757-899X/1006/1/012009

Deepha, R., Jayalekshmi, S., & Jagadeesan, K. (2020). Nonlinear analysis of castellated ISMB150 – I beam with hexagonal openings – A finite element approach. Materials Today: Proceedings, 27, A8–A16. https://doi.org/10.1016/j.matpr.2020.09.369

El-Tobgy, H. H., Abu-Sena, A. B. B., & Fares, M. W. (2021). Experimental and parametric investigation of castellated steel beam-column in various expansion ratios, lengths and loading conditions. Structures, 33(December 2020), 484–507. https://doi.org/10.1016/j.istruc.2021.04.053

Elaiwi, S., Kim, B., & Li, L.-Y. (2019a). Bending Analysis of Castellated Beams. Athens Journal of Τechnology & Engineering, 6(1), 1–16. https://doi.org/10.30958/ajte.6-1-1

Elaiwi, S. S., Kim, B., & Li, L. (2019b). Linear and Nonlinear Buckling Analysis of Castellated Beams. International Journal of Structural and Civil Engineering Research, 8(2), 83–93. https://doi.org/10.18178/ijscer.8.2.83-93

Elsa Sabu, D., & Joseph, D. (2022). a State-of-Art-of Review on Castellated Beam. International Research Journal of Engineering and Technology, 568–573. www.irjet.net

Fares, S. S., Coulson, J., & Dinehart, D. W. (2016). AISC Design Guide 31: Castellated and Cellular Beam Design. American Institute of Steel Construction, 1–116.

Frans, R., Parung, H., Sandy, D., & Tonapa, S. (2017). Numerical Modelling of Hexagonal Castellated Beam under Monotonic Loading. Procedia Engineering, 171, 781–788. https://doi.org/10.1016/j.proeng.2017.01.449

Gunawan, D., & Suryoatmono, B. (2017). Numerical Study on Lateral-torsional Buckling of Honeycomb Beam. Procedia Engineering, 171, 140–146. https://doi.org/10.1016/j.proeng.2017.01.320

H. Upadhyay, M., B. Patel, V., & A. Arekar, V. (2021). Parametric Study On Castellated Beam With Arch-Shape Openings. International Journal of Civil Engineering, 8(5), 52–57. https://doi.org/10.14445/23488352/ijce-v8i5p106

Hadeed, S. M., & Alshimmeri, A. J. H. (2019). Comparative Study of Structural Behaviour for Rolled and Castellated Steel Beams with Different Strengthening Techniques. Civil Engineering Journal, 5(6), 1384–1394. https://www.civilejournal.org/index.php/cej/article/view/1532/pdf

Haris, S., Sari, P. K., & Masrilayanti. (2023). Numerical Study of Castellated Beam with Stiffener - Case on Cantilever Structure. IOP Conference Series: Earth and Environmental Science, 1173(1). https://doi.org/10.1088/1755-1315/1173/1/012012

Hoseinpour, H., Valluzzi, M. R., Garbin, E., & Panizza, M. (2018). Analytical investigation of timber beams strengthened with composite materials. Construction and Building Materials, 191, 1242–1251. https://doi.org/10.1016/j.conbuildmat.2018.10.014

Huang, B., & Cao, S. (2025). Lateral-torsional buckling performance of I-section cellular beams. Journal of Constructional Steel Research, 228. https://doi.org/10.1016/j.jcsr.2025.109417

Kim, B., Li, L.-Y., & Edmonds, A. (2016). Analytical Solutions of Lateral–Torsional Buckling of Castellated Beams. International Journal of Structural Stability and Dynamics, 16(8), 1–16. https://doi.org/10.1142/S0219455415500443

Kowsalya, M., & Iyappan, G. R. (2020). Study on Castellated Web Beam with Optimized Web Opening – State of the Art Review. International Journal of Research Publication and Reviews, 1(7), 87–93.

Kumar, R., Structural, M. E., & Jagadeesan, K. (2015). Experimental Study on Castellated Beam to Enhance the Shear Strength. International Journal of Engineering Research & Technology (IJERT), 3(16), 3–6. https://www.ijert.org/experimental-study-on-castellated-beam-to-enhance-the-shear-strength

Kwani, S., & Wijaya, P. K. (2017). Lateral Torsional Buckling of Castellated Beams Analyzed Using The Collapse Analysis. Procedia Engineering, 171, 813–820. https://doi.org/10.1016/j.proeng.2017.01.370

Liu, M., Liang, M., Ma, Q., Wang, P., & Ma, C. (2020). Web-post buckling of bolted castellated steel beam with octagonal web openings. Journal of Constructional Steel Research, 124(105794). https://doi.org/10.1016/j.jcsr.2019.105794

Maali, M., & Cinar, N. (2024). Experimental and Numerical Tests on Beams with Web Openings Under Cyclic Loading. International Journal of Civil Engineering, 23, 149–167. https://doi.org/10.1007/s40999-024-01025-5

Mehetre, A. J., Talikoti, R. S., & Sonawane, P. B. (2020). Experimental Research on Equivalent Rectangular Opening Castellated Beam with Fillet Corner. International Journal of Recent Technology and Engineering (IJRTE), 8(5), 5415–5420. https://doi.org/10.35940/ijrte.E7103.018520

Morkhade, S. G., & Gupta, L. M. (2017). Experimental investigation for failure analysis of steel beams with web openings. Steel and Composite Structures, 23(6), 647–656. https://doi.org/10.12989/scs.2017.23.6.647

Najafi, M., & Wang, Y. C. (2017). Behaviour and design of steel members with web openings under combined bending, shear and compression. Journal of Constructional Steel Research, 128, 579–600. https://doi.org/10.1016/j.jcsr.2016.09.011

Qiao, H., Guo, Z., & Chen, Y. (2022). Experimental investigation of a substructure in a frame with castellated steel beams in case of a column loss. Engineering Structures, 255(113926). https://doi.org/10.1016/j.engstruct.2022.113926

Sandeep, R. C., Kumar, K. M., Madhavarao, G., Thirumalairaja, R., & Manikandan, C. (2020). Behavior of Castellated Beams with and Without Stiffeners. International Journal of Innovative Research in Computer Science & Technology (IJIRCST), 8(5), 394–399. https://doi.org/10.55524/ijircst.2020.8.5.12

Serene, K. T., & Aswathy, P. (2019). Finite Element Analysis of Composite Beams and Columns with Castellated Members. International Journal of Scientific & Engineering Research, 10(5). https://www.thejusengg.com/ckfinder/userfiles/files/7_Finite-Element-Analysis-of-Composite-Beams-and-Columns-with-Castellated-Members.pdf

Shaikh, A. S., & Autade, P. B. (2016). Structural Analysis and Design of Castellated Beam in Fixed Action. International Journal of Innovative Research in Advanced Engineering (IJIRAE), 3(08), 92–97. https://www.irjet.net/archives/V3/i8/IRJET-V3I834.pdf

Shiyekar, S. M., Gawade, S. S., Rathore, H. K., Hendre, R. D., & Solanke, V. M. (2024). Load Behaviour of Steel Beam with Opening using Finite Element Approach. International Journal for Research in Applied Science & Engineering Technology (IJRASET), 12(V), 4832–4840. https://doi.org/10.22214/ijraset.2024.62766

Sonck, D., & Belis, J. (2016). Weak-axis flexural buckling of cellular and castellated columns. Journal of Constructional Steel Research, 124, 91–100. https://doi.org/10.1016/j.jcsr.2016.05.002

Sonck, D., & Belis, J. (2017). Lateral-Torsional Buckling Resistance of Castellated Beams. Journal of Structural Engineering, 143(3), 1–9. https://doi.org/10.1061/(asce)st.1943-541x.0001690

Subramani, T., & Sukumar, V. (2018). Castellated beam with and without stiffners using ANSYS. International Journal of Engineering and Technology(UAE), 7(3), 94–97. https://doi.org/10.14419/ijet.v7i3.10.15638

Wakchaure, M. R., Sagade, A. V., & Auti, V. A. (2012). Parametric study of castellated beam with varying depth of web opening. International Journal of Scientific and Research Publications, 2(8), 2250–3153. www.ijsrp.org

Wang, C. K. (1983). Intermediate structural analysis. McGraw-Hill Book Company.

Wang, P., Guo, K., Liu, M., & Zhang, L. (2016). Shear buckling strengths of web-posts in a castellated steel beam with hexagonal web openings. Journal of Constructional Steel Research, 121, 173–184. https://doi.org/10.1016/j.jcsr.2016.02.012

Weidlich, C. M., Sotelino, E. D., & Cardoso, D. C. T. (2021). An application of the direct strength method to the design of castellated beams subject to flexure. Engineering Structures, 243(112646). https://doi.org/10.1016/j.engstruct.2021.112646

Yuan, W. bin, Yu, N. ting, Bao, Z. shui, & Wu, L. ping. (2016). Deflection of castellated beams subjected to uniformly distributed transverse loading. International Journal of Steel Structures, 16(3), 813–821. https://doi.org/10.1007/s13296-015-0120-2

Yustisia, V. W., Suswanto, B., Irawan, D., & Iranata, D. (2020). The structural behavior of castellated beam with shape variation using finite element methods. IOP Conference Series: Materials Science and Engineering, 930(1). https://doi.org/10.1088/1757-899X/930/1/012051

Zarmihan, R. P., Pratiwi, V., & Krisnadi, S. (2023a). Effect of Cross-sectional Height on IWF Profile Strength, Hexagonal Beam, and Octagonal Beam. The 1st International Student Conference on Engineering and Enviromental Research (ISCEER2022), Volume 2882, Issue 1. https://doi.org/10.1063/5.0175643

Zarmihan, R. P., Pratiwi, V., & Krisnadi, S. (2023b). Studi Perbandingan Kekuatan Profil IWF, Hexagonal Beam dan Octagonal Beam dengan Perhitungan Manual dan Metode Elemen Hingga. Cantilever: Jurnal Penelitian Dan Kajian Bidang Teknik Sipil, 11(2), 129–140. https://doi.org/10.35139/cantilever.v11i2.165

Zhou, X., Li, J., He, Y., He, Z., & Li, Z. (2018). Finite element analysis of thermal residual stresses in castellated beams. Journal of Constructional Steel Research, 148, 741–755. https://doi.org/10.1016/j.jcsr.2018.06.026