NUMERICAL STUDY OF CONCRETE DEEP BEAMS REINFORCED BY INCLINED WEB STIRRUPS

Drar, Ahmed; Samie, Khaled

doi:10.21608/jesaun.2022.90196.1070

NUMERICAL STUDY OF CONCRETE DEEP BEAMS REINFORCED BY INCLINED WEB STIRRUPS

Document Type : Research Paper

Authors

Civil Eng. Dept. Faculty of Engineering, Sohag University, Sohag, Egypt

10.21608/jesaun.2022.90196.1070

Abstract

A numerical investigation is presented in this study to describe the effect of inclined stirrups on the shear behavior for reinforced concrete deep beams. This study was exceeded by two steps as a part of verification and parametric study. In the first step, three beams were analyzed with different arrangements of their stirrups. Two beams are reinforced with vertical and inclined stirrups when there are no stirrups in the third beam. The numerically load-deflection curves, cracking patterns, and load-maximum crack opening curves were presented for all analyzed beams. These numerical results were verified by the experimental study of Teng, Ma [1] showing an excellent agreement between them. In second step, another 16 beams within 4 groups were analyzed to show the parametric influence of using inclined stirrups. This parametric study presented the effect of main reinforcement ratio, shear span-to-depth ratio, space between stirrups, and bar cross-sectional are of stirrups on the deep beams reinforced with vertical and inclined stirrups. The deep beam reinforced with inclined stirrups leads to a significant increasing in the shear strength due to the contribution of these stirrups to restrict the opening of diagonal shear crack.

Keywords

Main Subjects

Civil Engineering: structural, Geotechnical, reinforced concrete and steel structures, Surveying, Road and traffic engineering, water resources, Irrigation structures, Environmental and sanitary engineering, Hydraulic, Railway, construction Management.

References

1. Teng, S., W. Ma, and F. Wang, Shear strength of concrete deep beams under fatigue loading. Structural Journal, 2000. 97(4): p. 572-580.

2. Russo, G. and G. Zingone, Flexure-shear interaction model for longitudinally reinforced beams. Structural Journal, 1991. 88(1): p. 60-68.

3. Russo, G. and G. Puleri, Stirrup effectiveness in reinforced concrete beams under flexure and shear. Structural Journal, 1997. 94(3): p. 227-238.

4. Institute, A.C., Building Code Requirements for Structural Concrete (ACI 318-19): Commentary on Building Code Requirements for Structural Concrete (ACI 318R-19): an ACI Report. 2020: American Concrete Institute. ACI.

5. Singh, B., et al., Design Of A Continuous Deep Beam Using The Strut and Tie Method. 2006.

6. Wight, J.K. and G. Parra-Montesinos, Strut and Tie Model for Deep Beam Design. Concrete international, 2003. 25(5): p. 63-70.

7. Tan, K.-H., et al., Effect of web reinforcement on high-strength concrete deep beams. Structural Journal, 1997. 94(5): p. 572-582.

8. Červenka, V., L. Jendele, and J. Červenka, ATENA theory manual. Cervenka Consulting, 2009.

9. Rots, J.G. and J. Blaauwendraad, Crack models for concrete, discrete or smeared? Fixed, multi-directional or rotating? HERON, 34 (1), 1989, 1989.

10. Cervenka, V., Constitutive Model for Cracked Reinforced Concrete. Journal Proceedings, 1985. 82(6).

11. Kolmar, W., An Approach of the Force Transfer throughout Cracks by the Nonlinear Finite Element Analysis of the Reinforced Concrete Items. 1986, PhD thesis. Darmstadt: TH, 1986. 94 p.(in German).