# Study on Asymmetric Support of Anchor Cable with C-Shaped Tube in Inclined Coal Seam Roadway
## 1 Introduction  
The coal resource is one of the indispensable basic energies in our social development and economic construction [1; 2; 3]. At present, China has proven to have large reserves of inclined coal seams, which have a very high mining value [4; 5]. However, due to the influence of underground inclination and angle, the deformation features of inclined coal seam roadways are more complicated, which brings great difficulties to roadway sharing [6; 7; 8]. The support of inclined coal seam roadway research is now making significant strides both domestically and internationally. [PERSON] et al. [9] proposed measures for controlling the stability of the surrounding rock in severely inclined and ultra-thick coal seams. They suggested that full-length anchoring should be implemented in the support of inclined coal seam tunnels, increasing the anchoring length of the anchor cables to enhance the integrity of the roof. [PERSON] et al. [10] investigated the stress distribution mechanism of rock bolts in steeply inclined rock formations and suggested that longer rock bolts should be used during support to suppress further deformation of the steeply inclined rock formations. [PERSON] et al. [11; 12; 13] analyzed the deformation law of a tunnel in an inclined coal seamthrough laboratory tests and a numerical simulation and proposed the cyclic deformation and failure theory of a roadway. In light of the rock deformation issue along goat coal roadways in an inclined coal seam, [PERSON] et al. [14] proposed using a combination of an anchor cable, shotcrete, and U-shaped steel for support. The study conducted by [PERSON] et al. [15; 16; 17; 18] investigated the influence of different inclinations on the stability of inclined coal seam roadways. Through theoretical analysis, a numerical simulation, and field experiments, they explored the failure mechanism of inclined coal pillars, providing a significant reference value for the safe mining of inclined coal seams. Through the use of finite element analysis software, [PERSON] et al. [19] discovered that the combination of several forms of anchor cable reinforcement can increase the stability of the rock around them in inclined coal seams. Anchor cables are one of the most common methods used to reinforce cracked and dynamically loaded rock masses due to their flexibility and strength parameters. Due to the complex deformation characteristics of the surrounding rock in inclined coal seam roadways, anchor cables play a crucial role in the design of support systems for these roadways. However, studies [20; 21; 22] show that when the roadway is driven, the surrounding rock will shift and slip around the joint surface; at the coal roadway support site, tensed shear failure occurs in some anchor cables, mostly in the free section, affecting the stability of the roadway. There are many research studies on the shear performance of anchor cables at home and abroad. [PERSON] et al. [23; 24; 25] conducted a study using the finite element software ABAQUS/Explicit to establish static and dynamic double shear test models. They investigated the effects of bolt diameter, yield strength of the steel material, loading rate, and dynamic load mass on the shear force and energy absorption of the cable bolts. [PERSON] et al. [26] developed a frictionless double shear test apparatus for concrete and studied the effect of pre-tensioning on the shear strength of different types of anchor cables. [PERSON] et al. [27] compared the contribution of fiber glass bolts, rock bolts, and anchor cables to the shear strength of the concrete surface and analyzed the failure modes of the different bolts. [PERSON] et al. [28] conducted a series of single shear tests to analyze the tensile, bending, and shear characteristics of anchor cables. They also developed an anchor cable model using the finite element software ABAQUS, accurately simulating the interaction and failure modes between the anchor cable and the grouting body. [PERSON] et al.