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Modified Shear Design Model for Steel- and Fiber- Reinforced Polymer-Reinforced Concrete Beams

By: Material type: ArticleArticleDescription: 147-158 pISSN:
  • 0889-3241
Subject(s): Online resources: In: ACI Structural JournalSummary: This study proposes a unified shear design provision for slender steel- and fiber-reinforced polymer (FRP)-reinforced concrete (RC) members. The proposed model is a modification of the ACI 318-19 model to include the axial stiffness of the longitudinal reinforcement by introducing a new modification term, nc, representing the elastic modular ratio of the longitudinal reinforcement to the concrete. The new relation is Vc = (0.4 [nc ρfl]1/3 λ s√fcꞌ + Nu/[6Ag])bwd. The unified shear model was assessed with five experimental data sets: FRP-RC beams without shear reinforcement (288 beams), steel-RC beams without shear reinforcement (759 beams), FRP-RC beams with shear reinforcement (56 beams), steel-RC beams with shear reinforcement (157 beams), and steel-RC beams with axial force (prestressed) but without shear reinforcement (209 beams). The unified shear model provided better performance than the ACI 318-19 and ACI CODE-440.11-22 provisions in terms of mean, coefficient of variation, standard deviation (SD), and absolute average error (AAE). The unified model also showed improved performance over a wider range of material properties. In addition, reliability analysis using Monte Carlo simulation indicated that the unified shear model provides a consistent satisfactory safety level with a reliability index between 3.5 and 4.0 for both steel- and FRP-RC members. The reliability index provided by the unified model is similar to the reliability index provided by the ACI 318-19 shear provision. In contrast, the ACI CODE-440.11-22 results in highly conservative estimates with a reliability index between 4.5 and 5.0.
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Articles Articles Periodical Section Vol.121, No.1 (January 2024) Available

This study proposes a unified shear design provision for slender steel- and fiber-reinforced polymer (FRP)-reinforced concrete (RC) members. The proposed model is a modification of the ACI 318-19 model to include the axial stiffness of the longitudinal reinforcement by introducing a new modification term, nc, representing the elastic modular ratio of the longitudinal reinforcement to the concrete. The new relation is Vc = (0.4 [nc ρfl]1/3 λ s√fcꞌ + Nu/[6Ag])bwd. The unified shear model was assessed with five experimental data sets: FRP-RC beams without shear reinforcement (288 beams), steel-RC beams without shear reinforcement (759 beams), FRP-RC beams with shear reinforcement (56 beams), steel-RC beams with shear reinforcement (157 beams), and steel-RC beams with axial force (prestressed) but without shear reinforcement (209 beams). The unified shear model provided better performance than the ACI 318-19 and ACI CODE-440.11-22 provisions in terms of mean, coefficient of variation, standard deviation (SD), and absolute average error (AAE). The unified model also showed improved performance over a wider range of material properties. In addition, reliability analysis using Monte Carlo simulation indicated that the unified shear model provides a consistent satisfactory safety level with a reliability index between 3.5 and 4.0 for both steel- and FRP-RC members. The reliability index provided by the unified model is similar to the reliability index provided by the ACI 318-19 shear provision. In contrast, the ACI CODE-440.11-22 results in highly conservative estimates with a reliability index between 4.5 and 5.0.