Statistical Analysis of Ultimate Deflection and Load Assessment for One–Way Voided Slabs under Static Loads
DOI:
https://doi.org/10.31185/wjes.Vol14.Iss2.733Keywords:
Stepwise regression, Fitted line plot method, One-way, Void slabs, Utimate deflectionAbstract
In this study, the ultimate load and deflection formulas for one-way voided slabs subjected to static point loads were determined through statistical analysis. A comprehensive empirical database of a number of void geometries and design parameters was compiled from the published literature. The experimental data were statistically analyzed by the stepwise regression technique in order to create prediction equations for ultimate load and deflection. This leads us to obtain appropriate equations for engineers to accurately predict the one-way voided slab's structural response with a determination coefficient (R²) of 0.99 at the ultimate deflection formula and 0.87 at the ultimate load formula. Furthermore, the fitted line plot method was also used to provide several equations to be compared with the equations of stepwise regression. The comparison revealed that the stepwise regression equations provide the most accurate prediction of ultimate load and ultimate deflection. Further, the Pearson coefficient of correlation was also determined and revealed that the association between the variables and ultimate load and deflection varied from moderate to weak or revealed no significant association.
References
[1] H. A. Jabir, J. M. Mhalhal, and T. S. Al-Gasham, "Conventional and bubbled slab strips under limited repeated loads: A comparative experimental study," Case Studies in Construction Materials, vol. 14, p. e00501, 2021.
[2] T. S. Al-Gasham, A. N. Hilo, and M. A. Alawsi, "Structural behavior of reinforced concrete one-way slabs voided by polystyrene balls," Case Studies in Construction Materials, vol. 11, p. e00292, 2019.
[3] A. H. Yaagoob and I. S. Harba, "Behavior of self compacting reinforced concrete one way bubble deck slab," Al-Nahrain Journal for Engineering Sciences, vol. 23, no. 1, pp. 1-11, 2020.
[4] N. Oukaili and H. Yaseen, "Effect of prestressing force on performance of polymer bubbled deck slabs," in The 7th International Conference on FRP Composites in Civil Engineering (CICE 2014), Vancouver, Canada, 2014, pp. 1-6.
[5] M. Abdulkhaliq and A. H. Al-Ahmed, "The Flexural Behavior of One-Way Concrete Bubbled Slabs Reinforced by GFRP-Bars with Embedded Steel I-Sections," Engineering, Technology & Applied Science Research, vol. 14, no. 4, pp. 15860-15870, 2024.
[6] B. H. Kim, J. H. Chung, H. K. Choi, S. C. Lee, and C. S. Choi, "Flexural capacities of one-way hollow slab with donut type hollow sphere," Key Engineering Materials, vol. 452, pp. 773-776, 2011.
[7] J.-H. Chung, H.-S. Jung, and H.-K. Choi, "Flexural strength and stiffness of donut-type voided slab," Applied Sciences, vol. 12, no. 12, p. 5782, 2022.
[8] A. A. Alfeehan, H. I. Abdulkareem, and S. H. Mutashar, "Flexural behavior of sustainable reactive powder concrete bubbled slab flooring elements," Challenge Journal of structural mechanics, vol. 3, no. 2, pp. 81-89, 2017.
[9] A. A. Mansor, W. D. Salman, and A. S. Mohammed, "The Effect of Steel Fiber Content on the Behavior of Reinforced Concrete Bubbled Slab: Experimental Investigation," Diyala Journal of Engineering Sciences, vol. 15, no. 3, pp. 85-93, 2022.
[10] A. M. Ibrahim, M. A. Ismael, and H. A. A. Hussein, "Effect of construction type on structural behaviour of RC bubbled one-way slab," Diyala Journal of Engineering Sciences, pp. 73-79, 2019.
[11] A. H. A. Al-Ahmed, F. H. Ibrahim, A. A. Allawi, and A. El-Zohairy, "Behavior of One-Way Reinforced Concrete Slabs with Polystyrene Embedded Arched Blocks," Buildings, vol. 12, no. 3, p. 331, 2022.
[12] F. H. Ibrahim and A. H. A. Al-Ahmed, "Performance and Behavior of One-Way Reinforced Concrete Bubbled Slabs," Solid State Technology, vol. 63, no. 2s, pp. 1212-1231, 2020.
[13] M. Amoushahi Khouzani, M. Zeynalian, M. Hashemi, D. Mostofinejad, and F. Farahbod, "Investigation of flexural and shear behaviors of biaxial voided slabs containing steel cages," Structural Concrete, vol. 21, no. 1, pp. 291-302, 2020.
[14] M. A. Khouzani, M. Zeynalian, M. Hashemi, D. Mostofinejad, and F. Farahbod, "Study on shear behavior and capacity of biaxial ellipsoidal voided slabs," Structures, vol. 27, pp. 1075-1085, 2020.
[15] S. R. Abid, N. Tayşi, and M. Özakça, "Experimental analysis of temperature gradients in concrete box-girders," Construction and Building Materials, vol. 106, pp. 523-532, 2016.
[16] G. Lewicki and G. Marino, "Approximation by superpositions of a sigmoidal function," Zeitschrift für Analysis und ihre Anwendungen, vol. 22, no. 2, pp. 463-470, 2003.
[17] D. W. Marquardt, "An algorithm for least-squares estimation of nonlinear parameters," Journal of the society for Industrial and Applied Mathematics, vol. 11, no. 2, pp. 431-441, 1963.
[18] M. T. Hagan and M. B. Menhaj, "Training feedforward networks with the Marquardt algorithm," IEEE transactions on Neural Networks, vol. 5, no. 6, pp. 989-993, 1994.
[19] F. Khademi and K. Behfarnia, "Evaluation of concrete compressive strength using artificial neural network and multiple linear regression models," International Journal of Optimization in Civil Engineering, vol. 6, pp. 423–432, 2016.
[20] E. I. Obilor and E. C. Amadi, "Test for significance of Pearson’s correlation coefficient," International Journal of Innovative Mathematics, Statistics & Energy Policies, vol. 6, no. 1, pp. 11-23, 2018.
[21] E. H. Livingston, "The mean and standard deviation: what does it all mean?," Journal of Surgical Research, vol. 119, no. 2, pp. 117-123, 2004.
Downloads
Published
Issue
Section
License
Copyright (c) 2026 Fatima Hussein Awad, Hussain A. Jabir

This work is licensed under a Creative Commons Attribution 4.0 International License.

