Numerical calculation of reinforced concrete beams with spacing on compliant supports under dynamic load

   In design of reinforced concrete beams on yielding supports under the dynamic load in a structure, it is necessary to consider the thrust reaction. The presence of a spacing leads to a significant increase in strength and a decrease in the structural deformability, as in the case with yielding supports due to their energy intensity.

   The purpose of this paper is to develop the calculation method and study the feasibility of using yielding supports in the structure under the dynamic load.

   The paper presents the results of a numerical calculation of reinforced concrete beams with spacing on yielding supports under the dynamic load. The joint influence is considered for yielding supports and thrust on the dynamism of reinforced concrete structures. The theoretical results confirm the positive effect of using yielding supports with regard to the expansion effect in dynamically loaded structures.

1. Abdul'-Rakhman A. S. Povysheniye nesushchey sposobnosti zhelezobetonnykh konstruktsiy pri vzryvnykh vozdeystviyakh: Dissertatsiya na soiskaniye uchenoy stepeni kandidata tekhnicheskikh nauk [Bearing capacity improvement of reinforced concrete structures under explosive impacts. PhD Thesis]. Moscow, 1995. 207 p. (rus)

2. Galyautdinov Z. R., Kumpyak O. G. Raschet zhelezobetonnykh balok na podatlivykh oporakh pri kratkovremennom dinamicheskom nagruzhenii [Numerical calculation of reinforced concrete beams on compliant supports under dynamic loading]. Stroitel'naya mekhanika i raschet sooruzheniy. 2019. No. 4. Pp. 63–70. (rus)

3. Vinogradova T. N. Vliyaniye raspora na rabotu zhelezobetonnykh balochnykh konstruktsiy pri kratkovremennykh dinamicheskikh vozdeystviyakh: Dissertatsiya na soiskaniye uchenoy stepeni kandidata tekhnicheskikh nauk [Influence of spacing on the performance of reinforced concrete beam structures under dynamic load. PhD Thesis]. Moscow, 1977. 155 p. (rus)

4. Gvozdev A. A. Dmitriyev S. A., Krylov S. M. Novoye o prochnosti zhelezobetona [New about reinforced concrete strength]. Moscow: Stroyizdat, 1976. 272 p. (rus)

5. Kumpyak O. G., Galyautdinov Z. R. Eksperimental'nye issledovaniya opertykh po konturu zhelezobetonnykh plit s rasporom [Experimental research of reinforced concrete edge supported slabs with spacers]. Vestnik of Tomsk State University of Architecture and Building. 2015. No. 3. Pp. 113−120. (rus)

6. Popov N. N., Rastorguyev B.S. Raschet zhelezobetonnykh konstruktsiy na deystviye kratkovremennykh dinamicheskikh nagruzok [Dynamic load analysis of reinforced concrete structures]. Moscow: Stroyizdat, 1964. 151 p. (rus)

7. Tikhonov I. N. Printsipy rascheta prochnosti i konstruirovaniya armirovaniya balok perekrytiy zdaniy iz monolitnogo zhelezobetona dlya predotvrashcheniya progressiruyushchego razrusheniya [Strength analysis and design of building slab beam reinforcement made of monolithic reinforced concrete to prevent progressive fracture]. Zhilishchnoe stroitel'stvo. 2013. No. 2. Pp. 40–45. (rus)

8. Kumpyak O. G., Galyautdinov D. R. Eksperimental'nye issledovaniya zhelezobetonnykh balok s rasporom na podatlivykh oporakh pri kratkovremennom dinamicheskom nagruzhenii [Reinforced concrete beams on yielding supports with thrust under dynamic load]. Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta – Journal of Construction and Architecture. 2021. V. 23. No. 6. Pp. 143−156. (rus) URL: https://doi.org/10.31675/1607-1859-2021-23-6-143-156

9. Kumpyak O. G., Galyautdinov Z. R., Kokorin D. N. Prochnost' i deformativnost' zhelezobetonnyh konstrukcij na podatlivyh oporah pri kratkovremennom dinamicheskom nagruzhenii [Strength and deformability of reinforced concrete structures on yielding supports under dynamic load]. Tomsk: TSUAB, 2016. 270 p. (rus)

10. Kumpyak O. G., Meshcheulov N. V., Lyulevich Y. S. Dinamicheskaya prochnost' i deformativnost' naklonnykh sechenii szhato-izgibaemykh zhelezobetonnykh konstruktsii na podatlivykh oporakh [Dynamic strength and deformability of oblique planes in compressed and bended yielding supports]. Vestnik of Tomsk State University of Architecture and Building. 2016. No. 6. Pp. 150−159. (rus)

11. Kumpyak O. G., Galyautdinov Z. R., Galyautdinov D. R. Experimental study of beams on yielding supports with thrust. MATEC Web of Conferences. 2018. V. 143. DOI: 10.1051/matecconf/201714301016

12. Chiaia B., Kumpyak O., Placidi L., Maksimov V. Experimental analysis and modeling of two-way reinforced concrete slabs over different kinds of yielding supports under short-term dynamic loading. Engineering Structures. 2015. No. 96. Pp. 88–99.

13. Kumpyak O. G., Meshcheulov N. V. Chislennoye modelirovaniye podatlivykh opor v vide trub kol'tsevogo secheniya pri staticheskom i kratkovremennom dinamicheskom nagruzhenii [Numerical simulation of yielding supports in the form of annular tubes under static and dynamic loads]. Vestnik of Tomsk State University of Architecture and Building. 2017. No. 5. Pp. 121−134. (rus)

14. Kezmane A., Chiaia B., Kumpyak O., Maksimov V., Placidi L. 3D modelling of reinforced concrete slab with yielding supports subject to impact load. European Journal of Environmental and Civil Engineering. 2016. V. 21. Pp. 988–1025. DOI: 10.1080/19648189.2016.1194330

15. Kumpyak O. G., Mesheulov N. V. Numerical simulation of yielding supports the shape of annular tubes under static and short-term dynamic loadings. International Journal for Computational Civil and Structural Engineering. 2017. V. 13. No. 4. Pp. 103–113.

16. Elfetori F. A. Experimental testing of composite tubes with different corrugation profile subjected to lateral compression load. World Academy of Science, Engineering and Technology. International Journal of Mechanical, Industrial Science and Engineering. 2013. V. 7. No. 2.

17. Fan Z., Shen J., Lu G. Investigation of lateral crushing of sandwich tubes. In: Proc. 12th East Asia-Pacific Conf. ‘Structural Engineering and Construction Procedia Engineering’. 2011. V. 14. Pp. 442–449.

18. Lion K. H., Amir R. A. G., Prasetyo E., Khairi Y. Impact energy absorption of concentric circular tubes. WSEAS Transactions on Applied and Theoretical Mechanics. 2009. V. 4. No. 3.

19. Lipa S., Kotełko M. Lateral impact of tubular structure – theoretical and experimental analysis. Part 1 – Investigation of single tube. Journal of Theoretical and Applied Mechanics. 2013. V. 51. No. 4. Pp. 873–882.