Analytical Model for Rock Bolts Subjected to Shear Load
摘要
Extensively employed fully grouted rock bolts serve to reinforce rock masses that exhibit weaknesses and fractures. Due to the complex physical interactions among various materials such as the rock bolts, the surrounding rock, and the grouting material, quantitatively analyzing the overall contribution of bolted joints and determining the failure limits often becomes challenging. Currently, prevailing analytical models of rock bolt subjected to shear load overlook the inherent properties of materials within the anchoring system. These models predominantly address the lateral mechanical behavior of bolts under shear forces while neglecting the relationship between the stress distribution along the anchorage section and axial displacement of the bolt. This study proposes a novel analytical model that integratively accounts for axial and lateral deformations during the shearing process. Innovatively, the calculation of axial force takes into account the shear stress distribution along the anchorage of the bolt during the elastic stage, alongside the incremental axial force caused by the plastic deformation of the bolt within the fractured zone of the surrounding rock during the plastic stage. Through validation against experimental data, the proposed analytical model effectively demonstrates the relationship between rock bolt shear contribution and shear displacement. Furthermore, the model analyzes the influence of factors, such as bolt diameter, bolt inclination angle, and the strength of the surrounding rock, on the shear strength of the rock bolt and its ultimate failure displacement.