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      复杂拱架截面压弯承载力简便算法研究

      A calculation method for the compression and bending bearing capacity of complex section arches in soft rock tunnels

      • 摘要: 在软岩隧洞已采用一些组成材料不一或形状不规则的复杂截面拱架,但是其压弯承载力的计算效率不高。本文基于内力积分表达式、塑性状态下应力分布已知、以中性轴划分受压区与受拉区等条件,推导了以材料强度和截面拉压区几何参数表征的拱架内力公式,并基于CAD绘制拱架截面和快速获取几何参数,形成了复杂截面拱架压弯承载力的简便计算方法,称为画图法。采用画图法和公式法计算了若干不同拱架的压弯承载力。结果表明,对于拱架截面的极限轴力和极限弯矩,画图法和公式法两者计算结果相差不超过5%左右,两种方法所得拱架压弯承载力曲线基本吻合。研究成果可为软岩隧洞拱架选用提供参考。
         

         

        Abstract: In soft rock tunnels, complex section arches with different composition materials or irregular shapes have been used, but the calculation efficiency of their compressive and bending bearing capacity is not high. Based on the expression of internal force integral, known stress distribution under plastic state, and the division of compression zone and tension zone by neutral axis, this article derives the internal force formula of arch frame characterized by material strength and geometric parameters of section tension compression zone. Based on CAD drawing of arch frame section and rapid acquisition of geometric parameters, a simple calculation method for the bending and compression bearing capacity of complex section arch frame is formed, which is called the drawing method. The compression bending capacity of several different arches was calculated using drawing and formula methods. The results show that for the ultimate axial force and ultimate bending moment of the arch section, the difference between the calculation results of the drawing method and the formula method is not more than 5%, and the compression bending capacity curves of the arch obtained by the two methods are basically consistent. The research results can provide reference for the selection of arches for soft rock tunnels.
         

         

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