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本文基于新的砼结构设计规范的基本假定和截面内力平衡方程,提出了在T形、倒T形、工字形截面偏心受压构件正截面强度计算时均可按矩形截面计算的“等代矩形截面法”,从而使T形,倒T形、工字形截面偏心受压构件的各种计算情况分析以及小偏心受压时遇到的中和轴相对高度ξ三次方程的近似计算方法均与矩形截面通用。在近似求解小偏心受压构件的ξ的三次方程时,以分区降阶一次逼近法为例,说明了“等代矩形截面法”的具体应用。
Based on the basic assumptions of the new concrete structure design specification and the internal force balance equations of the section, this paper proposes the “equal generation rectangles” that can be calculated according to the rectangular section in calculating the normal section strength of T-shaped, inverted T-shaped, and I-shaped cross-section eccentric compression members. The “cross section method” makes the approximate calculation method of the T-shaped, inverted T-shaped, I-shaped section eccentric compression members and the approximate calculation method of the neutral axis relative height ξ cubic equation encountered by the small eccentric compression General section. In the approximate solution of the cubic equation of ξ for small eccentric compression members, the application of the “equal generation rectangular section method” is illustrated by the example of the first-order approach of zonal reduction.