24 24a are in alignment with each other the webs 23 lie at such a distance from the axis of rotation that the lower side of the grinding segment receivers 11 and the upper side of the webs 23 or 23a abut against one another the free ends of the webs 23 and 23a are formed as claws or dogs by means of double bending in a direction to the disc 22 and 22a thereby the holding faces 21 of the grinding segments 14 can be engaged fig3 and 4 show the rotary grinding tool of fig1 and 2 in assembled position it can be seen from both figures that each grinding segment 14 is held by the clamping cover 12 or 12a and by the web 23 or 23a furthermore it can be seen that the grinding segments 14 of the base bodies 10 10a which form one grinding segment row are arranged alternately with these base bodies in the shown embodiment the grinding segment row includes ten grinding segments since each base body has five grinding segments the number of the grinding segments can of course be changed it is especially advantageous in accordance with the present invention that the base body 10 with the attached grinding segments and the clamping covers 12 and 13 can be assembled into a structural unit the base body 10a with the attached grinding segments and the clamping covers 12a and 13a can also.