A New Closed-Form Solution of the Side Abutment Pressure Distribution of Roadway

Table 1

A summary of research status of the side abutment pressure distribution.

Number	Name	Mechanical model	Equations	Symbols
1	Chen and Liu [8]			and , stresses in the plastic zone; , vertical stress in the elastic zone; , width of the plastic zone; , influence distance of the side abutment pressure; , roadway height; , roadway width; , coal cohesion; , coal friction angle; , elastic modulus of coal; , elastic modulus of immediate roof; , side abutment pressure concentration factor; , average density of overlying strata; , height of overlying strata
2	Hou and Ma [9]			, overburden weight over gob transferred to the coal seam; , , and , counterforce of the coal seam; , length of cantilever roof; , failure angle of roof; , dip angle of the coal seam; ;
3	Hou and Ma [9]			, lateral earth pressure factor; , depth factor
4	Chen and Liu [8]			, strength factor of coal; , strength factor of overburden strata
5	Chen and Liu [8]			, uniaxial compressive strength of coal; , interfacial cohesion; , interfacial friction angle
6	Chen and Liu [8]			, support strength
7	Chen and Liu [8]			, roof rotation angle; , roof-floor convergence at the surface of wall rib
8	Yu et al. [10]			, shear stiffness between coal and rock