【摘要】 为研究钢筋与纤维增强聚合物复合材料（Fiber Reinforced Polymer,简称“FRP”）筋混合配筋混凝土梁的裂缝计算问题，首先，利用55组国内外混合配筋梁的裂缝相关试验数据分析现有混合配筋梁平均裂缝间距计算公式的适用性，并借助MATLAB对55组试验数据进行多元回归分析，修正了现有公式中的相关待定系数，建立了混合配筋梁平均裂缝间距计算公式，并给出FRP筋相对黏结特性系数v_i的建议值。其次，分析确定了影响裂缝宽度计算的纵筋应变不均匀系数ψ的计算方法和短期荷载作用下构件受力特征系数α_cr取值，同时引入最大裂缝宽度修正系数k₃,并利用其中45组裂缝宽度相关试验数据分析确定了k₃的取值，从而建立了最大裂缝宽度计算公式。与试验数据的对比分析结果表明，本文建立的混合配筋梁平均裂缝间距和最大裂缝宽度计算公式均具有较好的适用性。更多还原

【Abstract】 In order to study the crack calculation of concrete beams reinforced with hybrid（steel/FRP） bars, firstly, the applicability of the existing average crack spacing calculation formulas for hybrid reinforced concrete beams is analyzed using 55 crack relevant test data of hybrid reinforced beams at home and abroad. The multiple regression analysis of 55 test data is carried out using MATLAB, and the relevant undetermined coefficients in the existing formulas are modified. Then, the formula of the average crack spacing for hybrid reinforced concrete beams is established, and the value of the relative bonding characteristic coefficient v_i is given. Secondly, the calculation method of the longitudinal bars strain non-uniform coefficient ψ and the value of the force characteristic coefficient α_cr under short-term load are determined. At the same time, the maximum crack width correction coefficient k₃ is introduced, and the value of k₃ is determined based on the analysis of 45 crack width relevant test data. Then, the calculation formula of the maximum crack width is established. The comparative analysis with the test data shows that the formulas of the average crack spacing and the maximum crack width for the hybrid reinforced concrete beam have good applicability.更多还原