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马蹄形断面是隧洞工程常采用的一种断面型式,因断面的构成比较复杂,水力计算常采用近似计算,工作量大,还会带来一定的误差。本文对六心马蹄形断面的水力计算问题建立了数学求解方程,并编制出 PC——1500BASIC 程序,可以精确迅速的求解。(一)数学模型的建立如图1所示,坐标原点位于 O_4,因其断面形状有对称性,可取左半部分研究。四个圆心的坐标分别为a_1=0;b_1=R_2-R_1a_2=M;b_2=-Ma_3=R_1-R_2;b_(?)=0a_4=0;b_4=0
Horseshoe cross-section is often used in tunneling a cross-section type, due to the complex structure of the cross-section, hydraulic calculations are often used approximate calculation, workload, but also bring some error. In this paper, a mathematical solution equation is established for the hydraulic calculation of six - horseshoe cross - section, and PC - 1500BASIC program is compiled, which can be solved accurately and quickly. (A) the establishment of mathematical model shown in Figure 1, the origin of coordinates located in O_4, because of its cross-sectional shape symmetry, desirable left half of the study. The coordinates of the four center points are respectively a_1 = 0; b_1 = R_2-R_1a_2 = M; b_2 = -Ma_3 = R_1-R_2; b_ (?) = 0a_4 = 0; b_4 = 0