Title:
Shear Crack Prediction in Shallow Reinforced Concrete Beams Using a Nonlinear Approach
Author(s):
AlaaEldin Abouelleil and Hayder A. Rasheed
Publication:
Structural Journal
Volume:
116
Issue:
6
Appears on pages(s):
153-163
Keywords:
cracked concrete; diagonal tension cracks; shear-flexure cracks; shear stress analysis
DOI:
10.14359/51716809
Date:
11/1/2019
Abstract:
This study was conducted because of the lack of an existing theory to accurately predict diagonal tension cracking in shallow reinforced concrete beams. A rational approach is followed to numerically derive the shear stress profile across the depth of the section in cracked beams based on the smeared crack approach. Furthermore, the determined shear stress distribution coupled with the normal axial stress distribution are used to predict the principal stress variation across the depth and along the shear span using the standard Mohr’s circle. Following a biaxial stress cracking criterion, the likely diagonal tension cracks along their orientation profile are predicted.
Related References:
AASHTO, 2014, “LRFD Bridge Design Specifications,”. American Association of State Highway and Transportation Officials, Washington, DC.
Abouelleil, A., 2018, “Novel Theory for Shear Stress Computation in Cracked Reinforced Concrete Flexural Beams,” PhD dissertation, Department of Civil Engineering, Kansas State University, Manhattan, KS.
Almusallam, T. H., 1997, “Analytical Prediction of Flexural Behavior of Concrete Beams Reinforced by FRP Bars,” Journal of Composite Materials, V. 31, No. 7, pp. 640-657. doi: 10.1177/002199839703100701
Bentz, E. C.; Vecchio, F. J.; and Collins, M. P., 2006, “Simplified Modified Compression Field Theory for Calculating Shear Strength of Reinforced Concrete Elements,” ACI Structural Journal, V. 103, No. 4, July-Aug., pp. 614-624.
Decker, R. A., 2007, “Method of Strengthening Monitored Deficient Bridge,” master’s thesis, Department of Civil Engineering, Kansas State University, Manhattan, KS.
Hognestad, E., 1952, “What Do We Know About Diagonal Tension and Web Reinforcement in Concrete?” Circular Series No. 64, University of Illinois Engineering Experiment Station, Urbana, IL.
Kupfer, H. B., and Gerstle, K. H., 1973, “Behavior of Concrete under Biaxial Stresses,” Journal of the Engineering Mechanics Division, V. 99, No. 4, pp. 853-866.
Moody, K. G.; Viest, I. M.; Elstner, R. C.; and Hognestad, E., 1954, “Shear Strength of Reinforced Concrete Beams, Part 1—Tests of Simple Beams,” ACI Journal Proceedings, V. 51, No. 12, Dec., pp. 317-332.
Morsch, E., 1903, “Versuche Uber Schubspannugen in Betoneisentragern,” Beton und Eisen Berlin, V. 2, No. 4, pp. 269-274.
Rasheed, H. A., 1990, “Inelastic Behavior of Reinforced Concrete Frame Structures,” MSc thesis, University of Baghdad, Baghdad, Iraq.
Richart, F. E., and Larson, L. J., 1928, “An Investigation of Web Stresses in Concrete Beams, Part II, Restrained Beams,” University of Illinois Engineering Experiment Station, Urbana, IL.
Talbot, A. N., 1908, “A Test of Three Large Reinforced Concrete Beams,” Bulletin No. 28, University of Illinois Engineering Experiment Station, Urbana, IL.
Talbot, A. N., 1909, “Tests of Reinforced Concrete Beams: Resistance to Web Stresses,” Bulletin No. 30, University of Illinois Engineering Experiment Station, Urbana, IL.
Zwoyer, E. N., and Siess, C. P., 1954, “Ultimate Strength in Shear of Simply-Supported Prestressed Concrete Beams Without Web Reinforcement,” ACI Journal Proceedings, V. 51, No. 10, Oct., pp. 181-200.