Methodology of calculation and experimental verification of rigidity of reinforced concrete structures with unidirectional cavities

Keywords

reinforced concrete flat hollow slabs, rigidity calculation, theoretical and experimental values of deflections.

Cite as

Melnyk I. V., Stashchuk M. H., Hohol M. V., Prystavskyi T. V., Ivasyk H. V., and Partuta V. P. Methodology of calculation and experimental verification of rigidity of reinforced concrete structures with unidirectional cavities. Physicochemical Mechanics of Materials. 2022. 58(6), 026-033.

Abstract

The methodology for calculating the rigidity of monolithic reinforced concrete structures with cavities, located in one direction, is presented. According to the results of theoretical (numerical) modeling using the theory of shells and the finite element method, the values of cylindrical rigidity of hollow floors were obtained, which are different in both directions and smaller compared to solid slabs. The decreasing coefficients of cylindrical rigidity c_x, c_y depending on the geometric parameters of the cavities were determined. Deflections of the hollow floor of significant dimensions, in the plan on which the experimental studies were carried out, were calculated, taking into account the c_x, c_y coefficients. The obtained theoretical values of the deflections give a more satisfactory convergence with the experimental values of the deflections.

References

1. I. V. Melnyk, V. M. Sorokhtei, and T. V. Prystavskyi, Flat Reinforced Concrete Slab Constructions with Effective Inserts [in Ukrainian], Lviv Polytechnic Nat. Univer. Publ. House, Lviv (2018).
2. M. G. Stashchuk, and M. I. Dorosh, “Estimation of the stress state of polymeric pipe structures with hollow (cellular) structure of the wall,” J. of Math. Sci., 198, Is. 2, 181–191 (2014).
3. S. Timoshenko, and S. Woinowsky-Krieger, Theory of Plates and Shells, McGraw-Hill (1959). https://bayanbox.ir/view/1449796995868305459/theory-of-plates-and-shells-Timoshenko-small-size.pdf
4. B. G. Demchyna, I. Z. Rutkovska, and L. I. Voznyuk, “Peculiarities of calculation of multi-layer floor slabs on SC “LIRA”,” Suchasne Promyslove ta Tsivilne Budivnytstvo, 5, Is. 4, 179–185 (2009).
5. I. V. Melnyk, “Analysis of the stiffnesses of reinforced-concrete plane monolithic floors with tubular inserts,” Mater. Sci., 50, No. 4, 564–570 (2014).
6. O. V. Nyzhnyk, Beamless and Ribbed Steel-Reinforced Concrete Floors [in Ukrainian], Doctoral Thesis, Poltava (2012).
7. A. S. Semchenkov, Spatially Deforming Reinforced Concrete Floor Disks of Multistoreyed Buildings. Experimental Studies, Practical Methods of Calculation and Design [in Russian], Doctoral Thesis, Moscow (1991).
8. I. A. Simvulidi, Calculation of Engineering Structures on an Elastic Foundation [in Russian], Vysshaya Shkola, Moscow (1973).
9. O. F. Yaremenko, V. G. Kvasha, N. O. Yaremenko et al., Examples of Calculation and Design of Beam Span Structures of Reinforced Concrete Bridges [in Ukrainian], Astroprint, Odessa (2011).
10. P. S. Rychkov, MSC.visual Nastran for Windows [in Russian], NT Press, Moscow (2004).