Title:
A Review of Strut-and-Tie Models for FRP Reinforced Deep Beams
Author(s):
Taylor J. Brodbeck, Giorgio T. Proestos, and Rudolf Seracino
Publication:
Symposium Paper
Volume:
360
Issue:
Appears on pages(s):
804-814
Keywords:
Reinforced concrete, GFRP reinforcement, Deep beams, Strut-and-Tie, Shear
DOI:
10.14359/51740664
Date:
3/1/2024
Abstract:
This paper presents the current code provisions on strut-and-tie analysis and design of disturbed regions of deep concrete beams reinforced with fiber-reinforced polymer reinforcing (FRP) bars. A literature review of the large-scale experiments published to date is included with a comparison of their results to strut-and-tie predictions. Several published works have recommended modifications to strut-and-tie provisions for FRP reinforced deep beams, and those modifications are summarized within this paper.
Related References:
AASHTO (2020). AASHTO LRFD Bridge Design Specifications and Commentary, Ninth edition. American Association of State Highway Transportation Officials, Washington, DC, pp. 1914.
AASHTO (2018). AASHTO LRFD Bridge Design Guide Specifications for GFRP–Reinforced Concrete, Second Edition, American Association of State Highway Transportation Officials, Washington, DC, pp. 121.
ACI Code Committee 318. (2019). Building Code Requirements for Reinforced Concrete (ACI 318-19) and Commentary. Farmington Hills: American Concrete Institute.
ACI Code Committee 440. (2022). Building Code Requirements for Structural Concrete Reinforced with Glass Fiber-Reinforced Polymer (GFRP) Bars – Code and Commentary (ACI 440.11-22). Farmington Hills: American Concrete Institute.
Andermatt, M. F., Lubell, A. S. (2013). “Behavior of Concrete Deep Beams Reinforced with Internal Fiber-Reinforced Polymer—Experimental Study,” ACI Structural Journal, V. 110, No. 4, Jul.Aug. pp. 585-594.
Chen, H., Yi, W-.J., Ma, Z. J., Hwang, H.-J. (2020). “Modeling of shear mechanisms and strength of concrete deep beams reinforced with FRP bars,” Composite Structures, 234:111715.
Collins, M. P., Mitchell. D. (1991). Prestressed Concrete Structures, Prentice Hall: Englewood Cliffs, NJ.
CSA Committee A23.3 (2019). Design of Concrete Structures, Canadian Standards Association, Mississauga, ON, Canada, 2019, 301 pp.
CSA S806 (2012) “Design and Construction of Building Structures with Fiber-Reinforced Polymers,” Canadian Standard Association, Mississauga, ON, Canada, 240 pp.
Farghaly A.S., Benmokrane B. (2013). “Shear Behavior of FRP-Reinforced Concrete Deep Beams without Web Reinforcement,” Journal of Composites for Construction, 17:040130151– 40130210.
Hooke, R. (1678). “Lectures de Potentia Restitutiva or Explaining the Power of Springing Bodies.” Printed for John Martyn printer to the Royal Society, Bell in St. Paul’s churchyard.
Krall, M., & Polak, M. A. (2019). Concrete beams with different arrangements of GFRP flexural and shear reinforcement. Engineering Structures, 198, 109333
Liu, S., & Polak, M. A. (2022). Estimating shear strengths of GFRP reinforced concrete deep beams with indeterminate strut-and-tie method. In Current Perspectives and New Directions in Mechanics, Modelling and Design of Structural Systems (pp. 511-512). CRC Press.
Mohamed, K., Farghaly, A.S., Benmokrane, B. (2017). “Effect of vertical and horizontal web reinforcement on the strength and deformation of concrete deep beams reinforced with GFRP bars,” Journal of Structural Engineering, 143:0401707901–401707914.
Nehdi M., Omeman Z., El-Chabib H. (2008). “Optimal efficiency factor in strut-and-tie model for FRP-reinforced concrete short beams with (1.5 < a/d < 2.5).” Materials and Structures, 41:1713– 27.
Schlaich, J., Schäfer, K., Jennewein, M. (1987). “Towards a Consistent Design of Structural Concrete”, PCI Journal, Vol. 32, No. 3. Prestressed Concrete Institute, Chicago, IL, May–June, pp. 74–151.