考虑轴力分布的全长粘结锚杆受力分析

Mechanical Analysis of Wholly Grouted Bolt Considering Axial Distribution along the Bars

为了更合理地模拟锚杆的实际工作状态,对全长粘结锚杆的工作状态进行了一定的假设,结合荷载传递分析方法和弹性力学Kelvin问题的解,推导出了剪应力沿锚杆长度分布的计算公式,由此可清楚地看出影响锚杆剪应力分布的各因素。结合算例讨论不同计算模型推导的锚杆剪应力分布特点。结果表明,推导出的剪应力计算公式符合大部分学者提出的锚杆工作规律,同时,与仅考虑轴力为恒定值所推导的计算公式对比,考虑了轴力分布作用后计算的剪应力最大值和分布范围都比较小,该计算公式可供锚杆的优化设计及进一步的研究参考。

In order to simulate the actual working mechanism of the bolt more reasonably, based on the Kelvin displacement solution, certain assumptions are developed to analyze the load transfer principle of the bolt. Considering the distribution situation of the axial force along full length under pull-out wording state, the more accurate formula for calculating the shear stress is derived in elastic state. This calculation model is more reasonable for actual working conditions of the bolt. At the same time, various factors that affect the shear stress are clearly determined by the formula. Finally, an example is presented to compare and discuss the characteristics of the shear stress distribution with different analytical methods, and it shows the rationality and practicality of the model. The results based on the model provide a reference for future bolt studying and designing.