集中荷载作用下C20~C120混凝土无腹筋浅梁(λ≥2.5)受剪计算统一模型

UNIFIED MODEL FOR SHEAR CALCULATIONS OF C20‒C120 CONCRETE SLENDER BEAMS (λ≥2.5) WITHOUT STIRRUPS UNDER POINT LOADS

  • 摘要: 钢筋混凝土无腹筋梁受剪机制与计算模型尚未形成统一认识。回溯中外规范无腹筋梁受剪承载力计算方法,关注集中荷载作用下无腹筋浅梁受剪典型破坏模式,提出其受剪承载力计算统一模型与实用模型。研究结果表明,临界斜裂缝起源位置(xr,u)与剪跨比(λ)呈较强相关性;第一分支倾角(θ1)与λ无明显相关性,但随配筋特征值(ωs)的增大呈减小趋势,近似可取45°;随混凝土强度的提高,其拉-压二轴强度相关曲线由外凸逐渐过渡至内凹;当不引入尺寸效应实用调整系数(ζs)时,试验值与计算值之比(Vc,t/Vc,c)随截面有效高度(h0)的增大呈明显趋势性,引入ζs后可消除尺寸效应的影响。无腹筋浅梁受剪计算统一模型的预测结果较好,全部试验结果Vc,t/Vc,c的均值、变异系数分别为1.171、0.273,矩形截面梁Vc,t/Vc,c的均值、变异系数分别为1.075、0.259。实用模型较ACI 318-19、EN 1992-1-1: 2004 & 2023及MC 2010 (Level II)偏保守,与MC 2010 (Level I)基本相当;GB/T 50010−2024混凝土抗剪贡献的预测精度较差且计算值偏不保守。

     

    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.

     

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