A glass locking system of locking a glass panel within a base shoe having side walls, comprising a first tapered plate having a first end and a second end. The first plate is tapered such that the first end is thinner than the second end. A second tapered plate has a first end and a second end, the second plate being tapered such that the first end is thinner than the second end. The first and second plate are insertable between a side wall of the base shoe and a glass panel in overlapping relation. Moving the second tapered plate laterally towards the first plate serves to generate a compressive force on the glass panel, and moving the plates laterally apart serves to reduce the compressive force on the panel.