库伦主动土压力的通用解法

General Solution for Coulomb Active Earth Pressure

研究目的:库伦主动土压力在工程建设中应用比较广泛,一般采用手册或规范的经验公式进行计算,但这些公式具有局限性,只适用于特定的边界条件。而实际工程设计的过程中,经常会遇到突破这些特定边界条件的情况,此时手册或规范的库伦土压力经验公式不再适用,这给设计工作带来一定的困扰,因此迫切需要找到一种适用于各种边界条件的库伦主动土压力的通用解法。本文旨在给出该种通用解法,以为设计者提供便利和参考。研究结论:(1)本文以库伦土压力基本原理为基础,并结合微分原理,提出了一种适用于各种边界条件的库伦主动土压力的通用解法;(2)该通用解法虽然算法较为复杂,但采用计算机编程很容易实现,计算过程既方便又快捷;(3)在实际工程设计中,特别是边界条件较为复杂时,采用基于本文提出的通用解法编制的软件进行库伦主动土压力计算,可以起到事半功倍的效果。

Research purposes： Coulomb active earth pressure is widely applied in construction engineering. Engineers generally use the formulas of manual or code. But these formulas have limitations which are only applied to specific boundary conditions. And in the process of practical engineering design, boundary conditions often break through these specific boundary conditions. At this point, those formulas from manuals or codes are not applicable, and this often brings troubles to the designers. So it is necessary to find a common solution for Coulomb active earth pressure, which can be applied to all kinds of boundary conditions. This paper presented the common solution based on the principle of Coulomb earth pressure and differential principle, which can be used to provide convenience and reference for designers. Research conclusions： （ 1 ） This paper presented a general solution for various boundary conditions based on the principle of Coulomb earth pressure and differential principle. （2）Although this method is more complicated, but it is very easy to implement by using computer programming. The calculation process is convenient and quick. （3）In practical engineering design, especially when the boundary condition is more complicated, using the software based on the general solution of this paper to calculate the Coulomb active earth pressure can have twice the result with half the effort.