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拟定铁路隧道衬砌变截面拱圈尺寸时,一般内轮廓线可由三心圆组成。外轮廓线和拱轴线尺寸的计算公式,在1962年出版之《铁路隧道设计手册》中已有介绍,并在铁路结构物设计算例《整体式隧道衬砌》一书中作了公式来源的证明,而且指出这种m_1式以及m式的推导近似简化,与按精确计算比较是相差不多的。其他有关设计院亦有采用不同的演式或较精确的算式分求m_1及m_2乃至m者,其公式推导过程,笔者并未见到有关资料说明。1964年上期在前包头铁道学院指导学生进行隧道毕业设计时,曾经遇到此项问题,究竟如何计算比较正确,引起反复研究。当时上述隧道衬砌设计算例一书尚未出版,其中关于m_1和m式的推证也未见到。现将初步研究体会提供参考探讨。
When formulating the size of the variable cross-section arch ring of railway tunnel lining, the general inner contour line may be composed of three concentric circles. The formula for calculating the size of the outer contour and the arch axis has been introduced in the “Design Guide for Railway Tunnels” published in 1962 and proved by the formula source in the book “Integrated Tunnel Lining” of the railway structure design , But also pointed out that this kind of m_1 and m-type deduction approximate simplification, as compared with the exact calculation is almost the same. Other related design institutes also use different performance or more accurate calculation of sub-m_1 and m_2 and even m, the formula derivation process, the author did not see the relevant information. In the previous issue of 1964, when the former Baotou Railway Institute instruct students to design the graduation tunnel, they encountered this problem. How to calculate the correct result and cause repeated studies? At that time, a book on the calculation of tunnel lining design was not yet published, and the proofs on m_1 and m were also not seen. Preliminary experience will now provide a reference to explore.