Shim plate for tools for cutting machining as well as a tool

A cutting tool for rotary chip removing machining, comprising:

• a basic body including a rotational axis, a peripheral envelope surface concentric with the rotational axis, and at least one insert seat having a seat surface arranged therein, the cutting tool being rotatable in a direction of rotation,
• a shim plate detachably mounted to the seat surface of the insert seat, and
• a detachably mounted cutting insert adjacent to the shim plate in the insert seat,
• wherein the shim plate includes a bottom surface adjacent to the seat surface of the insert seat, a contact surface opposite to the bottom surface and adjacent to the cutting insert, and one or more individual side surfaces extending between the bottom surface and the contact surface,
• wherein the bottom surface and contact surface of the shim plate form a wedge-shape in two perpendicular cross-sections,
• wherein, in a first cross-section traversing the shim plate, a first wedge shape is formed by a first imaginary straight line (a) associated with the bottom surface of the shim plate and extending from a first intersection point (a1) with the one or more individual side surfaces to a second intersection point (a2) with the one or more side surfaces, and a second imaginary straight line (b) associated with the contact surface and extending from a third intersection point (b1) with the one or more individual side surfaces to a fourth intersection point (b2) with the one or more individual side surfaces, and the first imaginary straight line (a) and the second imaginary straight line (b) form an angle α with each other,
• wherein the second intersection point (a2) is the point on the first imaginary straight line (a) where the bottom surface is closest to the rotational axis and the fourth intersection point (b2) is the point on the second imaginary straight line (b) where the contact surface is closest to the rotational axis,
• wherein, in a second cross-section traversing the shim plate, a second wedge shape is formed by a third imaginary straight line (c) associated with the bottom surface and extending from a first intersection point (c1) with the one or more individual side surfaces to a second intersection point (c2) with the one or more individual side surfaces, and a fourth imaginary straight line (d) associated with the contact surface of and extending from a third intersection point (d1) with the one or more individual side surfaces to a fourth intersection point (d2) with the one or more individual side surfaces, and the third imaginary straight line (c) and the fourth imaginary straight line (d) form an angle β with each other, and
• wherein the second intersection point (c2) is the point on the third imaginary straight line (c) where the bottom surface is closest to the rotational axis and the fourth intersection point (d2) is the point on the fourth imaginary straight line (d) where the contact surface is closest to the rotational axis.