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根据裂缝间钢筋平均应变符合平截面假定,分别考虑预应力筋与非预应力筋处于相同和不同水平位置处,详细推导了裂缝截面处后张有黏结预应力筋的拉应变滞后系数.结合前期完成的刚度计算规范比较结果,借鉴精度较好的刚度计算模式,并通过大量挠度试验数据,提出了考虑预应力筋拉应变滞后特点的混凝土梁刚度计算公式.结果表明:不论对钢筋混凝土梁,还是对各类预应力混凝土梁,该刚度公式计算值与实测值均符合较好,从而将钢筋混凝土梁和预应力混凝土梁的刚度公式统一起来;特别是对后张有黏结和无黏结预应力混凝土梁,相比现行混凝土结构设计规范刚度公式,该刚度公式计算精度更高,可为规范修订提供参考.
According to the assumption that the average strain of reinforcement between fractures meets the plane section assumption, considering the prestressing tendons and non-tendon stresses at the same and different horizontal positions respectively, the tensile strain hysteresis coefficient of the post-tensioned bonded tendons is deduced in detail. Based on the results of the comparisons of the calculated rigidities and the stiffness calculation models with good accuracy, the formula for calculating the stiffness of concrete beams considering the characteristics of the prestressing tendons is put forward based on a large number of deflection test data. The results show that, Or for all kinds of prestressed concrete beams, the calculated value of the stiffness formula and the measured values are in good agreement, so as to unify the stiffness formula of reinforced concrete beam and prestressed concrete beam; especially for the post-tensioned with no bond and prestressed Compared with the stiffness formula of the current concrete structure design code, the stiffness of the concrete beam is more accurate and can provide reference for the revision of the code.