Rotary cutting tool composed of a tool shank with at least one chucking groove and an exchangeable cutting insert with a recess for accommodating the cutting insert at the tip of the shank and in the wall of the chucking groove delimited on the shank-end by a rim against which the shank-end narrow side of the cutting insert rests and the cutting insert is provided with a fastening pin that is accommodated in a location opening of the tool shank, which is concentric relative to the tool axis, characterized in that the tool shank, on its circumference, is provided with a limb with a bearing surface bordering on the circumference of the tool shank and inclined relative to the tool axis and corresponding to a likewise inclined bearing surface on a wing of the cutting insert, where the orientation of the inclination of the bearing surfaces corresponds to the direction of rotation of the tool, and the cutting insert only partly covers the tip of the tool shank, and the bearing surfaces are inclined toward the direction of rotation of the rotary cutting tool to hold the cutting insert in the tool shank during cutting of an object, and the bearing surfaces, relative to the tool axis, have an angle of contact of at least 15° and at most 60°.