The invention relates to a planing device having a planing chain which is guided inside a channel (2) having an inside radius (A1) and the chain links of which each have chain plates (5) and chain pins (6) connecting the latter. In cross section, the chain pins (6) each have an outside radius that extends along a chord length, wherein the inside radius (A1) of the channel (2) and the outside radius of the chain pins (6) are at a ratio of from 1:0.8 to 1:1.2 to one another.