Crack formation in eccentrically compressed reinforced concrete elements subjected to combined compression and torsion

Мұқаба

Дәйексөз келтіру

Толық мәтін

Ашық рұқсат Ашық рұқсат
Рұқсат жабық Рұқсат берілді
Рұқсат жабық Рұқсат ақылы немесе тек жазылушылар үшін

Аннотация

A calculation methodology and analytical model are presented for determining deformation parameters and crack width in eccentrically compressed reinforced concrete elements subjected to combined compression and torsion. The analytical relationships are derived using static equilibrium equations under the simultaneous action of torsional moment and eccentric loading, taking into account the deformation effect proposed by Vl.I. Kolchunov. The physical essence of this effect lies in the fact that upon failure of the tensile concrete and crack formation, the crack opening displacements are restrained by the reaction of the reinforcing bar, resulting in a nonlinear curvature of the crack profile. This phenomenon is accounted for in the analytical relationships when determining the relative mutual displacements of concrete and reinforcement between two adjacent cracks. Using the derived analytical relationships, the crack width in a lightly reinforced eccentrically compressed concrete element under combined compression and torsion is calculated. The computational results are compared with experimental data obtained from testing structural elements under the considered stress state, as well as with results from design methods specified in Russian and international standards. It is shown that the proposed analytical relationships satisfactorily reflect the quantitative values of experimentally measured crack widths in reinforced concrete elements under the given complex stress state.

Толық мәтін

Рұқсат жабық

Авторлар туралы

M. Amelina

National Research Moscow State University of Civil Engineering

Хат алмасуға жауапты Автор.
Email: margo.dremova@mail.ru

Postgraduate Student 

Ресей, 26, Yaroslavskoe Highway, Moscow, 129337

Vl. Kolchunov

National Research Moscow State University of Civil Engineering; Scientific-Research Institute of Building Physics of RAACS

Email: vlik52@mail.ru

Doctor of Sciences (Engineering) 

Ресей, 26, Yaroslavskoe Highway, Moscow, 129337; 21, Lokomotivniy Driveway, Moscow, 127238

N. Fedorova

National Research Moscow State University of Civil Engineering; Scientific-Research Institute of Building Physics of RAACS

Email: fedorovanv@mgsu.ru

Doctor of Sciences (Engineering) 

Ресей, 26, Yaroslavskoe Highway, Moscow, 129337; 21, Lokomotivniy Driveway, Moscow, 127238

Әдебиет тізімі

  1. Travush V.I., Karpenko N.I., Kolchunov Vl.I., Kaprielov S.S., Demyanov A.I., Konorev A.V. The results of experimental studies of square and box-section structures made of high-strength concrete under torsion with bending. Stroitel’stvo i Rekonstruktsiya. 2018. No. 6 (80), pp. 32–43. (In Russian). EDN: VQNSNS
  2. Rodevich V.V., Arzamastsev S.A. On the calculation of reinforced concrete elements for bending with torsion. Izvestiya of Higher Educational Institutions. Construction. 2015. No. 9, pp. 99–109. (In Russian). EDN: VJKAKJ
  3. Demyanov A.I., Salnikov A.S., Kolchunov Vl.I. Experimental studies of reinforced concrete structures under torsion with bending and analysis of their results. Stroitel’stvo i Rekonstruktsiya. 2017. No. 4 (72), pp. 17–26. (In Russian). EDN: ZHHHHB
  4. Karpenko N.I., Karpenko S.N., Kolchunov Vl.I., Kolchunov V.I. Deformation of box-sectional structures during torsion with bending. Magazine of Civil Engineering. 2024. No. 17 (5). 12901. https://doi.org/10.34910/MCE.129.1
  5. Travush V.I., Kolchunov Vl.I., Bulkin S.A., Protchenko M.V. Deformation model and algorithm for calculation of reinforced concrete structures of round cross-section under torsion with bending. International Journal for Computational Civil and Structural Engineering. 2022. No. 18 (2), pp. 14–30. EDN: TAFTNB. https://doi.org/10.22337/2587-9618-2022-18-2-14-30
  6. Ali A.H., Mohamed H.M., Chalioris C.E., Deifalla A. Evaluating the shear design equations of FRP-reinforced concrete beams without shear reinforcement. Engineering Structures. 2021. № 235. 112017. EDN: PSZOZY. https://doi.org/10.1016/j.engstruct.2021.112017
  7. Ban H., Tan E.L., Uy B. Strength of multi-span composite beams subjected to combined flexure and torsion. Journal of Constructional Steel Research. 2015. No. 113, pp. 1–12. https://doi.org/10.1016/j.jcsr.2015.05.023
  8. Mostofinejad D., Talaeitaba S.B. Nonlinear modeling of RC beams subjected to torsion using the smeared crack model. Procedia Engineering. 2011. No. 14, pp. 1447–1454. https://doi.org/10.1016/j.proeng.2011.07.182
  9. Kalkan I., Kartal S. Torsional rigidities of reinforced concrete beams subjected to elastic lateral torsional buckling. International Journal of Civil and Environmental Engineering. 2017. No. 11 (7), pp. 969–972.
  10. Arzamastsev S.A., Rodevich V.V. By the calculation of reinforced concrete elements under bend with torsion. Proceedings of higher educational institutions. Construction. 2015. No. 9, pp. 99–109. EDN: VJKAKJ
  11. Gunasekaran K., Ramasubramani R., Annadurai R., Prakash Chandar S. Study on reinforced lightweight coconut shell concrete beam behavior under torsion. Materials and Design. 2014. No. 57, pp. 374–382. https://doi.org/10.1016/j.matdes.2013.12.058
  12. Rahal K.N. A unified approach to shear and torsion in reinforced concrete. Structural Engineering and Mechanics. 2021. No. 77 (5), pp. 691–703. EDN: QPNRVL. https://doi.org/10.12989/sem.2021.77.5.691
  13. Bernardo L.F.A., Andrade J.M.A. A unified softened truss model for RC and PC beams under torsion. Journal of Building Engineering. 2020. No. 32. 101467. EDN: NGNIAA. https://doi.org/10.1016/j.jobe.2020.101467
  14. Bernardo L.F.A., Andrade J.M.A., Nunes N.C.G. Generalized softened variable angle truss-model for reinforced concrete beams under torsion. Materials and Structures. 2015. No. 48 (7), pp. 2169–2193. EDN: IATIYK. https://doi.org/10.1617/s11527-014-0301-z
  15. Jafari F., Akbari J. Reliability-based design of reinforced concrete beams for simultaneous bending, shear, and torsion loadings. Frattura ed Integrita Strutturale. 2020. No. 14 (51), pp. 136–150. https://doi.org/10.3221/IGF-ESIS.51.11
  16. Kolchunov V.I., Pimochkin V.N. Methodology of experimental studies of the resistance of stretched concrete between cracks in reinforced concrete structures to clarify the parameter. Izvestiya of the Oryol State Technical University. Series: Construction and Transport. 2007. No. 2–14, pp. 56–60. (In Russian). EDN: KZHKON
  17. Kolchunov V.I., Fedorov S.S. The problem of standardizing the parameters of the second group limit states for structures made of high-strength reinforced concrete. International Journal for Computational Civil and Structural Engineering. 2024. No. 20 (3), pp. 145–158. (In Russian). EDN: VBOQHX. https://doi.org/10.22337/2587-9618-2024-20-3-145-158
  18. Kolchunov Vl.I., Nikulin A.I., Obernikhin D.V. Crack opening width of reinforced concrete structures with trapezoidal cross-section taking into account new resistance effects. Vestnik of the BSTU named after V.G. Shukhov. 2018. No. 10, pp. 64–73. EDN: YMVPJZ. https://doi.org/10.12737/article_5bd95a75010906.70019486
  19. Travush V.I., Karpenko N.I., Kolchunov Vl.I., Kaprielov S.S., Demyanov A.I., Konorev A.V. Main results of experimental studies of reinforced concrete structures made of high-strength concrete B100 of circular and ring sections under torsion with bending. Stroitel’naya mekhanika inzhenernykh konstruktsiy i sooruzheniy. 2019. No. 1, pp. 51–61. EDN: YZIQCD. https://doi.org/10.22363/1815-5235-2019-15-1-51-61
  20. Kolchunov Vl.I. Generalized hypotheses of warping of linear and angular deformations in reinforced concrete structures under bending with torsion. Nauchnyy zhurnal stroitel’stva i arkhitektury. 2023. No. 1 (69), pp. 9–6. (In Russian). EDN: UEDCTP. https://doi.org/10.36622/VSTU.2023.69.1.001

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2. Fig. 1. Design model of an eccentrically compressed reinforced concrete element under torsion: а – force diagram in the spatial section; b – spatial crack pattern; c – equivalent box section; d – cross-section for determining shear forces in the box-section wall due to torsional moment

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3. Fig. 2. Characteristic strain diagrams in inclined reinforcement bars according to the model [15, 15]: а – for distributed cracking; b – for a single crack

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4. Fig. 3. Characteristic experimental stress diagrams (key points T1, T2, T3...T7) in longitudinal and inclined reinforcement bars and concrete in regions between adjacent cracks (а), and stress diagrams in the reinforcement-concrete interaction zone for determining relative strains at crack faces (b)

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5. Fig. 4. Test specimen configuration of lightweight high-strength reinforced concrete element: а – formwork; b – reinforcement layout; c – general view in test setup

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6. Fig. 5. Experimental crack pattern (а) and general failure mode (b) for specimen 1K-1

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