TECHNICAL PAPERS
Oct 1, 1991

Layer Model of Bending‐Shear Failure in RC Plates and Beams

Publication: Journal of Structural Engineering
Volume 117, Issue 10

Abstract

An analytical model of the progressive bending‐shear failure of reinforced concrete (RC) beams and plates is proposed and validated by comparison to experiments. The model uses the transverse shear deformation associated with the Mindlin or Timoshenko hypotheses. The transverse normal strain is determined from an equilibrium condition. The model can be used in the analysis of the static limit load and dynamic transient phenomena in these structures. The transverse equilibrium condition and the compatibility of strains are approximately satisified when the shear force and conjugate transverse shear deformation vary moderately along the beam axis. The assumed stress field is a generalized continuum counterpart of the strut‐and‐tie model of the limit shear strength theory of RC beams. The present model is independent of actual material laws of the materials involved, provided the material law of concrete includes the inelastic volumetric tension to account for smeared cracks. The model is validated by comparison to static tests of RC beams and a dynamic impact test of a circular RC plate.

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References

1.
Bhumaraddi, A., Carr, A. J., and Moss, P. J. (1989). “A shear deformable finite element for the analysis of general shells of revolution.” Comput. Struct., 31(3), 239–308.
2.
Bresler, B., and Scordelis, A. C. (1961). “Shear strength of Reinforced Concrete Beams.” SESM Report 61‐13, Inst. of Engrg. Res., Univ. of California, Berkeley, Calif., 1–19.
3.
Carpenter, N., Belytschko, T., and Stolarski, H. (1986). “Locking and shear scaling factors in C bending elements.” Comput. Struct., 22(1), 39–52.
4.
Cervenka, V., Pukl, R., and Eligehausen, R. (1990). “Computer simulation of anchoring techniques in reinforced concrete beams.” Proc., Computer Aided Analysis and Design of Concrete Structures, Pineridge Press, Swansea, U.K.
5.
Chen, W. F. (1982). Plasticity in reinforced concrete. McGraw‐Hill, New York, N.Y.
6.
Gupta, A. K., and Akbar, A. (1984). “Cracking in reinforced concrete analysis.” J. Struct. Engrg., ASCE, 110(8), 1735–1746.
7.
Harmon, T. G., and Zhangyuan, N. (1989). “Shear strength of reinforced concrete plates and shells determined by finite element method using layered elements.” J. Struct. Engrg., ASCE, 115(5), 1141–1157.
8.
Hughes, T. J. R., and Kanoknukulchai, W. (1977). “A simple and efficient finite element for plate bending.” Int. J. Numer. Meth. Engrg., 8(9), 1529–1543.
9.
Ichinose, T., and Takiguchi, K. (1986). “Shear deformation mode of reinforced concrete beams.” J. Struct. Engrg., 113(4), 689–703.
10.
Lasry, D., and Belytschko, T. (1987). “Transverse shear oscillations in four‐node quadrilateral plate elements.” Comput. Struct., 27, 393–398.
11.
Leonhardt, F., and Walther, R. (1962). “Stuttgarter Schubversuche 1961.” Special issue, Ernest & Sohn, Berlin, Germany, Beton und Stahlbeton (in German).
12.
Lin, F. B., Bazant, Z. P., Chern, J. C., and Marchertas, A. H. (1987). “Concrete model with normality and sequential identification.” Comput. Struct., 26(6), 1011–1025.
13.
Mörsch, E. (1929). “Der Eisenbetonbau, seine Theorie und Anwendung.” 6 Ed., 1, Konrad Witwer, Stuttgart, Germany (in German).
14.
Nielsen, M. P. (1967). “Om forskydningsarmering af Jernbeton‐bjaelker.” Bigningsstat Medd., 38, 33–58 (in Swedish).
15.
Nilsson, L. (1979). “Impact loading on concrete structures,” thesis presented to chalmers University of Technology, Goteborg, Sweden, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
16.
Rericha, P. (1986). “Optimum load time history for non‐linear analysis using dynamic relaxation.” Int. J. Numer. Meth. Engrg., 23(12), 2313–2324.
17.
Resende, L. (1987). “A damage mechanics constitutive theory for the inelastic behaviour of concrete.” Comput. Meth. Appl. Mech. Engrg., 60(1), 57–93.
18.
Zienkiewicz, O. C., Bauer, J., Morgan, K., and Onate, E. (1977). “A simple and efficient element for axisymmetric shells.” Int. J. Numer. Meth. Engrg., 11(9), 1545–1558.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 117Issue 10October 1991
Pages: 2865 - 2883

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Published online: Oct 1, 1991
Published in print: Oct 1991

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Petr Rericha
Sr. Lect., Fac. of Civ. Engrg., Thakurova 7, 166 29 Prague, Czechoslovakia

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