摘要
在求解有限宽度土体下静止土压力强度时,经典土压力理论不符合半无限土体基本假定的问题。以有限宽度下水平薄层土体为单元进行受力平衡分析时发现,受土体与壁板摩擦角影响,有限宽度土体下某一深度处的竖向荷载集度不再均匀分布。采用总压力等效原则,积分得到等效矩形荷载集度,并通过求解一元一次微分方程推导出有限宽度土体静止土压力强度计算公式。对主要影响因素进行变参数分析,并与经典土压力理论下静止土压力强度计算结果进行对比,结果表明,有限土体宽度下静止土压力强度远小于经典土压力理论计算值,且因土体宽度、深度及土体与壁板内摩擦角不同而影响程度不同。以一工程为例,采用两种理论指导设计,可知采用有限宽度土体理论时,可有效节约工程造价,为同类工程设计提供借鉴。
The classical earth pressure theory does not conform to the basic assumption of a semi-infinite soil body when solving the static earth pressure intensity under a finite-width soil body.A force balance analysis was conducted using a horizontal thin layer of soil under finite width as a unit.Due to the influence of the friction angle between the soil and the wall panel,the vertical load intensity at a certain depth under the finite-width soil body was no longer uniformly distributed.By applying the principle of total pressure equivalence,an equivalent rectangular load intensity was obtained through integration.Furthermore,a formula for calculating the static earth pressure intensity under a finite-width soil body was derived by solving a first-order differential equation with one variable.A variable parameter analysis was conducted on the main influencing factors,and the results were compared with those obtained from the classical earth pressure theory.The comparison indicated that the static earth pressure intensity under a finite-width soil body is significantly lower than that calculated by the clas-sical earth pressure theory,and the degree of influence varied with different soil widths,depths,and internal friction angles between the soil and the wall panel.Taking an engineering project as an example,it was ob-served that using the finite-width soil body theory in design guidance can significantly reduce project costs,pro-viding a reference for similar engineering designs.
作者
王虎军
贺小卫
辛磊
Wang Hujun;He Xiaowei;Xin Lei(Xi'an Municipal Design and Research Institute Co.,Ltd.,710068,China)
出处
《特种结构》
2025年第6期52-55,共4页
Special Structures
关键词
静止土压力强度
半无限土体假定
有限宽度土体
荷载集度
变参数分析
Static earth pressure intensity
Semi-infinite soil assumption
Finite width soil
Load intensity
Variable parameter analysis
