A braiding machine with components comprising a support table (10) mounting a plurality of individual segments (30) forming a bed having a substantially circular tracking groove (36). Each segment (30) comprises a segment groove (36) which comprises a pair of opposed transfer openings (40) formed through the outer wall (38) with the transfer openings of adjacent segments being in contact forming the tracking groove (36) as an endless ring. The size of the endless ring is determined by the number and size of the segments (30) used. The tracking groove (36) may be coated with a selected material other than the material forming the segment (30).