Disclosed is a liner for a traction sheave including a top surface and a bottom surface mutually spaced on a height-wise axis (H), a front surface and a back surface mutually spaced on lengthwise axis (L), and a plurality of side surfaces including a first side surface and a second side surface mutually spaced in a widthwise axis (W), wherein in a first cross sectional profile of the plurality of side surfaces forms convergent-divergent profile.