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岩石锚杆的变形计算是锚固工程设计中的一个关键因素。基于协调剪切变形段锚杆和岩体间剪切变形刚度的线性假定,不协调剪切变形段锚杆和岩体间剪应力沿杆长呈幂函数型分布的假定,通过荷载传递微分方程,对全灌浆锚杆和有自由端灌浆锚杆的拉拔变形和刚度进行了理论分析,推导出沿杆长剪应力分布函数、轴力分布函数和位移分布函数,进而可获得锚杆最大拉拔力和拉拔荷载–位移曲线。根据剪滞理论,由灌浆锚杆周围岩体单元应力平衡微分方程,推导出锚杆与岩体之间剪切弹性变形刚度的计算公式。与其它理论结果比较,表明本分析方法是合理的、可行的,对于灌浆锚杆变形、刚度及强度设计具有参考价值。
Deformation calculation of rock bolt is a key factor in the design of anchorage engineering. Based on the assumption of the linear assumption of the shear deformation stiffness between the anchor and the rock mass in the coordinated shear deformation section and the shear stress distribution in the incoherent shear deformation section along the length of the rod, , The drawing deformation and stiffness of fully grouted anchor and grouted anchor with free end are theoretically analyzed, and the stress distribution function, axial force distribution function and displacement distribution function along the length of the rod are derived, and the maximum pull of the anchor rod Pull and pull load - displacement curve. According to the shear lag theory, the formula of shear elastic deformation stiffness between rock bolt and rock mass is deduced from stress equilibrium differential equation of rock mass around grouting anchor. Compared with other theoretical results, the results show that the method is reasonable and feasible, which is of reference value to the design of grouting bolt ’s deformation, stiffness and strength.