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本文给出在长、短期使用荷载作用下出现和不出现裂缝的部分预应力混凝土受弯构件的刚度计算方法。建议的刚度计算公式与现行规范公式有相同的形式,并且与之有连续性。其结果与试验值比较符合程度尚好。对出现裂缝的部分预应力混凝土受弯构件,还给出按统计确定的可能最大裂缝宽度计算公式,在实用上具有足够的保证率。此外,对相当于普通钢筋混凝土构件在弯矩M_1作用下,建立ψ_1公式所引用的ε_?-ε_?平行性关系和受压边缘混凝土平均应变综合系数ζ_1,给出了简单的数学论证,这也相当于论证了规范公式ψ所根据的ε_g-ε_g平行性关系和系数ζ。
This paper presents the calculation method for the stiffness of partially prestressed concrete flexural members with and without cracks under long and short-term operating loads. The proposed stiffness calculation formula has the same form as the current specification formula, and has continuity with it. The results are in good agreement with the experimental values. For the partially prestressed concrete flexural members with cracks, the formula for calculating the maximum possible crack width determined by statistics is also given, which has a sufficient guarantee rate in practice. In addition, a simple mathematical proof is given for the ε_?-ε_? parallelism relations and the average complex strain 受_1 for the compression edge concrete under the action of the bending moment M_1 of an ordinary reinforced concrete member established by the ψ_1 formula. It is also equivalent to the ε_g-ε_g parallelism and the coefficient ζ based on the canonical formula ψ.