Abstract:
Studies on the shear mechanisms and calculation models of reinforced concrete beams without stirrups have not reached a consensus. The shear bearing capacity calculation methods for beams without stirrups in Chinese and foreign codes were reviewed. Based on the failure mode of slender beams without stirrups under point loads, a novel unified model and a practical model for shear bearing capacity calculation were proposed. Results show that the critical diagonal crack origin location (
xr,u) correlates strongly with the shear span ratio (
λ), while the first branch inclination angle (
θ1) shows no correlation with
λ but tends to decrease as the mechanical ratio of longitudinal reinforcement (
ωs) increases, approximating 45°. As concrete strength increases, the tensile-compressive biaxial strength correlation curve gradually transitions from convex to concave. Without introducing the size effect adjustment factor (
ζs), the ratios of test to calculated values (
Vc,t/
Vc,c) show a clear increasing trend with the effective height of the cross-section (
h0), and this trend is eliminated after considering
ζs. The unified model presents superior prediction accuracy, with mean and coefficient of variation being 1.171 and 0.273 for all test results, and 1.075 and 0.259 for beams with rectangular cross-sections, respectively. The practical model is more conservative than ACI 318-19, EN 1992-1-1: 2004 & 2023, and MC 2010 (Level II), and is essentially comparable to MC 2010 (Level I). Additionally, the concrete shear contribution model in GB/T 50010−2024 exhibits poor predictive accuracy and tends to be unconservative.