Strength Design Method of Reinforced Concrete Beam Elements along an Inclined Crack on the Transverse Forces and Bending Moments Joint Action

  • Authors

    • Oksana Dovzhenko
    • Volodymyr Pohribnyi
    • Oleksandr Shkurupiy
    • Pavlo Mytrofanov
    2018-10-13
    https://doi.org/10.14419/ijet.v7i4.8.27240
  • strength, inclined section, plasticity theory, compressed zones.
  • The forces scheme in the reinforced concrete elements inclined section is proposed under the transverse forces and bending moments joint action. The diagram shows the transverse and longitudinal forces perceived by the compressed concrete zone and longitudinal reinforcement, forces in the transverse reinforcement and engagement in an inclined crack. The truncated concrete wedge strength problem simulating a compressed zone over a dangerous inclined crack is solved on the plasticity theory basis. An engineering method for calculating the bending elements strength along an inclined crack is developed, which allows more fully to take into account the factors determining the strength influence and to achieve a reduction in the structures material consumption. To simplify the calculation in tabular form, the projection inclined section functions are given for various loading schemes.

     


     
  • References

    1. [1] Grandić D, Šćulac P, Štimac Grandić I (2015), Shear resistance of reinforced concrete beams in dependence on concrete strength incompressive struts. Tehnicki Vjesnik, Vol. 22(4), pp. 925-934, https://doi.org/10.17559/TV-20140708125658

      [2] Latha MS, Revanasiddappa M, Naveen Kumar BM (2018), Influence of stirrup spacing on shear, resistance and deformation of reinforced concrete beam. International Journal of Engineering & Technology, Vol. 7(1), pp. 126-134, http://dx.doi.org/10.14419/ijet.v7i1.9013

      [3] Michael P Collins, Evan C Bentz, Edward G Sherwood, Liping Xi (2007), An adequate theory for the shear reinforced concrete structure. Proceedings of the Morley Symposium on Concrete Plasticity and its Application, pp. 75-94, http://dx.doi.org/10.1680/macr.2008.60.9.635

      [4] Gurley CR (2008), Plastic Shear Strength of Continuous Reinforced Beams, NZSEE Conference, Paper Number 19, available online: https://www.nzsee.org.nz/db/2008/Paper19.pdf

      [5] Mitrofanov VP (2000), Optimization strength theory of reinforced concrete bar elements and structures with practical aspects of its use. Bygningsstatiske Meddelelser, Vol. 71, No 4, pp. 73-125.

      [6] ACI 318M-95 (1996), Building Code Requirements for Structural Concrete and Commentary, United States, ACI, 369 p.

      [7] Concrete Structures Euro – Design Hand back. Design of Concrete Structures to ENV 1992 (1995), Berlin, 308 p.

      [8] Borishanskiy MS (1964), Calculation of reinforced concrete elements under the action of transverse forces [Raschet zhelezobetonnyih elementov pri deystvii poperechnyih sil]. Calculation and design of elements of reinforced concrete structures [Raschet i konstruirovanie elementov zhelezobetonnyih konstruktsiy], Moscow, Russia, pp. 122-143. (In Russian).

      [9] Klimov YuA (1999) To calculate the strength of reinforced concrete elements in inclined sections [Do rozrakhunku mitsnosti zalizobetonnykh elementiv v pokhylykh pererizakh]. Taurian scientific bulletin [Tavriiskyi naukovyi visnyk], Kherson, Ukraine, Vol. II, pp. 11-17. (In Ukrainian).

      [10] Mitrofanov VP (1982) Stress – strain state, strength and cracking of reinforced concrete elements in transverse bending [Napryazhenno-deformirovannoe sostoyanie, prochnost i treschinoobrazovanie zhelezobetonnyih elementov pri poperechnom izgibe], Ph.D thesis in Engineering science, Moscow, Russia, 41 p. (In Russian).

      [11] Pavlikov A, Kosior-Kazberuk M, Harkava O (2018) Experimental testing results of reinforced concrete beams under biaxial bending. International Journal of Engineering & Technology, 7 (3.2), pp. 299-305. https://doi.org/10.14419/ijet.v7i3.2.14423

      [12] Zalesov AS, Petrosyan AV (1987), Method for calculating the strength of reinforced concrete elements under the joint action of bending moments and transverse forces, taking into account the deformation conditions [Metod rascheta prochnosti zhelezobetonnyih elementov pri sovmestnom deystvii izgibayuschih momentov i poperechnyih sil s uchetom usloviy deformirovaniya]. Perfection of methods for calculating statically indeterminate reinforced concrete structures [Sovershenstvovanie metodov rascheta staticheski neopredelimyih zhelezobetonnyih konstruktsiy], Moscow, Russia, pp. 50-55. (In Russian).

      [13] Zalesov AS, Klimov YuA (1989), Strength of reinforced concrete structures under the action of transverse forces [Prochnost zhelezobetonnyih konstruktsiy pri deystvii poperechnyih sil], Kiev, Ukraine, 104 p. (In Russian).

      [14] Kolchunov VI (1997), To the calculation of crack resistance and strength of core reinforced concrete elements along inclined sections [K raschetu treschinostoykosti i prochnosti sterzhnevyih zhelezobetonnyih elementov po naklonnyim secheniyam]. Resource-saving constructive-technological solutions of buildings and structures [Resursosberegayuschie konstruktivno-tehnologicheskie resheniya zdaniy i sooruzheniy], Belgorod, Russia, Part 6-7, pp. 159–167. (In Russian).

      [15] Mitrofanov VP, Kotlyarov VA (1990), General theory of calculating the strength of reinforced concrete elements for inclined and normal cracks [Obschaya teoriya rascheta prochnosti zhelezobetonnyih elementov po naklonnyim i normalnyim treschinam]. University news. Construction and architecture [Izvestiya vuzov. Stroitelstvo i arhitektura], Russia, Vol. 9, pp. 3-9. (In Russian).

      [16] Shkurupiy, O, Mytrofanov, P, & Masiuk, V (2018), Calculation of The Stability of the Form of Equilibrium of Discrete Systems. International Journal of Engineering & Technology, 7(3.2), pp: 401-407, http://dx.doi.org/10.14419/ijet.v7i3.2.14561

      [17] Geniyev GA, Kissyuk VN & Tyupin GA (1974), Concrete and reinforced concrete plasticity theory [Teoriya plastichnosti betona i zhelezobetona], Moscow, Russia, 316 p. (In Russian).

      [18] Kachanov LM (1969), Basic of the plasticity theory [Osnovy teorii plastichnosti], Moscow, Russia, 420 p. (2013) Ripol Klassik, 426 p. (In Russian).

      [19] Cherepanov GA (1974), Mechanics of brittle failure [Mehanika hrupkogo razrusheniya], Moscow, Russia, 640 p. (In Russian).

      [20] Rzhanitsin AR (1986), Composite rods and plates [Sostavnyie sterzhni i plastinki], Moscow, Russia, 315 p. (In Russian).

      [21] Nielsen MP & Hoang LC (2011), Limit Analysis and Concrete Plasticity, CRC Press, Taylor & Francis Group. 3rd ed., 669 р.

      [22] Pavlikov A, Mykytenko S, Hasenko A (2018) Effective structural system for the construction of affordable housing. International Journal of Engineering & Technology, 7 (3.2), pp. 291-298. http://dx.doi.org/10.14419/ijet.v7i3.2.14422

      [23] Dovzhenko OA, Pohribnyi VV, Karabash LV (2018) Effective Keyed Connections Of Hollow-Core Floor Slabs With Walls In Modern Large-Panel House Building, Science & Technique, 17(2), pp. 146-156. (In Russian). https://doi.org/10.21122/2227-1031-2018-17-2-146-156

      [24] Pohribnyi V, Dovzhenko O, Karabash L, Usenko I (2017), The design of concrete elements strength under local compression based on the variational method in the plasticity theory, Web of Conferences, Vol. 116, https://doi.org/10.1051/matecconf/20171160201

      [25] Dovzhenko O, Pogrebnyi V, Yurko I (2018), Shear Failure Form Realization in concrete, News NAS RK. Series of geology and technical science, Vol. 2 (428), pp. 212-219, available online: http://geolog-technical.kz/images/pdf/g20182/55-62.pdf

      [26] Pohribnyi V, Dovzhenko О, Maliovana O (2018) The Ideal Plasticity Theory Usage Peculiarities to Concrete and Reinforced Concrete. International Journal of Engineering & Technology, Vol. 7(3.2), pp: 19-26, http://dx.doi.org/10.14419/ijet.v7i3.2.14369

      [27] Dovzhenko O, Pogrebnyi V, Yurko I, Shostak I (2017), The bearing capacity experimental determination of the keyed joints models in the transport construction. Web of Conferences, Vol. 116, https://doi.org/10.1051/matecconf/201711602011

      [28] Dovzhenko O, Pohribnyi V, Karabash L (2018) Experimental Study on the Multikeyed Joints of Concrete and Reinforced Concrete Elements, International Journal of Engineering & Technology, Vol. 7 (3.2), pp: 354-359, http://dx.doi.org/10.14419/ijet.v7i3.2.14552

      [29] Kolmogorov VL (1986), Metal forming mechanics [Mekhanika obrabotki metallov davleniyem], Moskow, Russia, 689 p. (In Russian).

      [30] Maliovana OO (2018) Strength of higher strength concrete elements under shear action. Academic Journal (Industrial Machine Building, Civil Engineering), Issue 1 (50), pp. 131-40, available online: https://doi.org/10.26906/znp.2018.50.1068

      [31] Pavlikov, A., Kosior-Kazberuk, M., & Harkava, O. (2018). Experimental testing results of reinforced concrete beams under biaxial bending. International Journal of Engineering and Technology(UAE), 7(3), 299-305. https://doi.org/10.14419/ijet.v7i3.2.14423

      [32] Goryk, O. V., Pavlikov, A. M., & Kyrychenko, V. A. (2009). Calculation of statically indeterminate composite beam elements by using refined boundary conditions and with account of their state diagrams. Mechanics of Composite Materials, 45(1), 53-58. https://doi.org/10.1007/s11029-009-9058-9

      [33] Kochkarev, D., & Galinska, T. (2017). Calculation methodology of reinforced concrete elements based on calculated resistance of reinforced concrete. Paper presented at the MATEC Web of Conferences, , 116 https://doi.org/10.1051/matecconf/201711602020

      [34] Piskunov, V. G., Goryk, A. V., & Cherednikov, V. N. (2000). Modeling of transverse shears of piecewise homogeneous composite bars using an iterative process with account of tangential loads. 1. construction of a model.Mechanics of Composite Materials, 36(4), 287-296. https://doi.org/10.1007/BF02262807

      [35] Kochkarev, D., Galinska, T., & Azizov T. (2018) Bending deflection reinforced concrete elements determination. Paper presented at the MATEC Web of Conferences, 230 https://doi.org/10.1051/matecconf/201823002012

      [36] Kochkarev, D., Galinska, T., & Tkachuk, O. (2018). Normal sections calculation of bending reinforced concrete and fiber concrete element. International Journal of Engineering and Technology(UAE), 7(3), 176-182. http://dx.doi.org/10.14419/ijet.v7i3.2.14399

      [37] Kochkarev, D., & Galinska, T. (2018). Nonlinear Calculations of the Strength of Cross-sections of Bending Reinforced Concrete Elements and Their Practical Realization. Cement Based Materials, 13-30 http://dx.doi.org/10.5772/intechopen.75122

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    Dovzhenko, O., Pohribnyi, V., Shkurupiy, O., & Mytrofanov, P. (2018). Strength Design Method of Reinforced Concrete Beam Elements along an Inclined Crack on the Transverse Forces and Bending Moments Joint Action. International Journal of Engineering & Technology, 7(4.8), 196-202. https://doi.org/10.14419/ijet.v7i4.8.27240