###### Abstract  
Currently, research on the stability of roadway-side supports in gob-side entry techniques primarily focuses on vertical stress, neglecting the lateral effects induced via roof collapse and waste rock compaction in the mined-out area. This paper systematically investigates the effect of roof rotation and the compression of waste gangue on the lateral load-bearing behavior of the roadway-side support system, combining theoretical analysis with FLAC3D numerical simulations. The results indicate that the lateral load-bearing capacity of the support system is positively correlated with both mining height and the width of the roadway-side support. When the mining height or the support width is small, the lateral load-bearing capacity of the support system is weaker, making it more prone to sliding failure. Furthermore, lateral load control technology for the roadway-side support system is proposed, which includes \"roof cutting + increasing width\". When the stress transfer path of the roof is blocked, as the support system width increases from 1 m to 2 m, the lateral load-bearing capacity of the roadway-side support significantly increases and then stabilizes. This results in different extents of expansion in the elastic region within the support system, providing valuable insights for the design of roadway-side supports. a 20251512  
of the surrounding rock, and reuse of the adjacent working face. He also determined the calculation formulas for the reasonable support resistance of the support system, the roof abscission layer, and the strength of the coal-side support strength. [PERSON] [6] studied the time characteristics of the fracture rotation of key blocks in the basic roof and the deformation mechanism of the surrounding rock, proposing a coordinated support system for deformation along the coal seam in soft and thick coal seams. [PERSON] [7] analyzed the ratio of the bearing capacity of solid coal walls and roadside support system's bearing capacity, revealing the impact of different unbalanced bearing coefficients on the stability of surrounding rock and the support effect in gob-side entries, as well as the support effect of high-water materials. [PERSON] [8] used a combination of numerical simulation and field experiments to analyze the stress evolution and deformation characteristics of surrounding rock in traditional gob-side entries and cooperative bearing gob-side entries under roof cutting, revealing the cooperative bearing mechanism of the support body and gangue. [PERSON] [9] investigated the relationship between the support resistance of the support wall and the length of the exposed roof, indicating the destructive effect of the laterally exposed roof on the support wall. [PERSON] [10] improved the Salamon and Terzaghi models in numerical simulations using UP and CDM methods, obtaining the stress-strain relationship of waste rock backfill materials. Based on the test results of a specially designed waste backfill compaction device, he provided a new method for accurately determining the internal stress distribution of the WRBM. [PERSON] [11; 12] conducted a systematic study on the filling problem of goat in inclined coal seams and found that the deformation of the surrounding rock roof of the goat without filling was large and showed a parabolic change trend. After the goat was filled with gangue, the sinking deflection of the working face roof was effectively reduced, and the deformation of the surrounding rock of the goat was effectively controlled. [PERSON] [13], based on solid dense-filling coal mining technology, regarded one side of the goat as a uniform and dense support body, conducted an in-depth theoretical analysis of the deformation characteristics of the surrounding rock of the goat, and discussed the action mechanism of the side-support body. Combined with the on-site engineering practice, the mechanical model of the stability of the side-support body was verified, and the corresponding width calculation formula was given.