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A Simplified Method for Calculating Vertical Earth Pressure on Rigid Load Shedding Culvert Crown Underneath the Embankment
Arabian Journal for Science and Engineering ( IF 2.6 ) Pub Date : 2021-05-04 , DOI: 10.1007/s13369-021-05680-x
Qiang Ma , Huafei Fu , Henglin Xiao , Chuheng Zhong

For calculating the vertical earth pressure on the crown of a load shedding culvert (LSC) underneath the embankment fill, an analytical method is proposed in this paper. It can determine the corresponding position on the slip surface when the shear stress of the embankment fill on the slip surface just reaches the limit value. The method proposed in this paper considers the fact that the linearly elastic–perfectly plastic model is closer to the shear stress–strain model of embankment fill on the slip surface. According to the stress state of the embankment fill on the slip surface, the lateral earth pressure coefficient expression is derived from the geometric relationship of the Mohr's circle, in which the internal friction angle is considered as the independent variable. The stress states of the differential elements of embankment fill over LSC crown are analysed through equilibrium considerations. Thus, the analytical method for calculating the vertical earth pressure on the crown of LSC is obtained. The calculation examples are presented and compared with numerical results of FLAC 2D, which demonstrates that the difference between the proposed analytical and the numerical results is less than 10%. The results show that as the internal friction angle of embankment fill, the height of load shedding block (LSB) and the ratio of elastic modulus of the embankment fill to elastic modulus of the compressible material layer (Ef /Es) increase, the vertical earth pressure on the crown of the LSC decreases. The phenomenon is because the shear stress of the embankment fill on the slip surface over the LSC crown mostly reaches the limit value, such that the most of loads of the central fill mass overburdening the LSH surface are transferred to the adjacent fill masses.



中文翻译:

路堤下刚性减洪涵顶竖向土压力的简化计算方法

为了计算路基填土下面的减荷涵洞(LSC)顶部的竖向土压力,提出了一种解析方法。当路堤上的路堤填料的剪应力刚好达到极限值时,就可以确定在滑移面上的相应位置。本文提出的方法考虑了以下事实:线弹性-完全塑性模型更接近于滑移面路堤填充的剪应力-应变模型。根据路堤填土在滑移面上的应力状态,从莫尔圆的几何关系推导出侧向土压力系数表达式,其中以内摩擦角为自变量。通过平衡考虑,分析了LSC顶上路堤填充的差异元素的应力状态。因此,获得了用于计算LSC胎冠上的垂直土压力的分析方法。给出了计算实例,并与FLAC 2D的数值结果进行了比较,这表明所提出的分析结果与数值结果之间的差异小于10%。结果表明,作为路堤填土的内摩擦角,卸荷块的高度(LSB)和路堤填土的弹性模量与可压缩材料层的弹性模量之比(给出了计算实例,并与FLAC 2D的数值结果进行了比较,这表明所提出的分析结果与数值结果之间的差异小于10%。结果表明,作为路堤填土的内摩擦角,卸荷块的高度(LSB)和路堤填土的弹性模量与可压缩材料层的弹性模量之比(给出了计算实例,并与FLAC 2D的数值结果进行了比较,这表明所提出的分析结果与数值结果之间的差异小于10%。结果表明,作为路堤填土的内摩擦角,卸荷块的高度(LSB)和路堤填土的弹性模量与可压缩材料层的弹性模量之比(E f / E s)增大,则LSC顶部的垂直土压力减小。出现这种现象的原因是,在LSC拱顶上的滑移表面上,路堤填料的剪应力大部分达到极限值,从而使LSH表面超负荷的中央填料的大部分载荷都转移到了相邻的填料上。

更新日期:2021-05-05
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