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B-3 DEFINITIONS

B-3.1 Definitions Relating to Geometry of Cones

cone: a conical surface or a conical workpiece (see Fig. B-2), defined by its geometrical dimensions. In the absence of any indication concerning the geometrical form, cone is understood to mean a straight circular cone or truncated cone.

conical surf 7ce: a surface of revolution which is formed by rotating a straight line (generator) around an axis with the straight line intersecting this axis at the apex (see Fig. B-2). The parts of this infinite conical surface are also known as conical surfaces or cones. Similarly, “cone” is also the abbreviated designation of a truncated cone.

conical u’orkpwce: a workpiece or portion of a workpiece, the main part of which is a conical surface (see Figs. B-3 and B4).

external cone: a cone which limits the outside form of a conical feature of a workpiece (see Figs. 13-3 and 13-5).

internal cone: a cone which limits the inside form of a conical feature of a workpiece (see Figs. 13-4 and 13-5).

basic cone: the geometrically ideal conical surface which is given by its geometrical dimensions. These are either

(a) a basic cone diameter, the basic cone length, and the basic rate of taper or the basic cone angle, or

(b) two basic cone diameters and the basic cone length (see Fig. 8-6)

actual cone: that cone the conical surface of which has been found by measurement (see Fig. 13-7).

limit cones: the geometrically ideal coaxial surfaces, haing the same basic cone angle, which result from the basic cone and the cone diameter tolerances. The difference between the largest and the smallest cone diameters is the same in all sections normal to the cone axis (see Fig. 13.8). The surfaces of the limit cones may be made to coincide by axial displacement.

generator: the line of intersection of the conical surface with a section in the axial plane (see Figs. 8-2 and B-5).

B-3.2 Definitions Relating to Sizes on Cones

cone diameter: the distance between two parallel lines tangent to the intersection of the circular conical surface with a plane normal to the cone axis.

basic cone diameters are as follows (see Fig. 13-6):

(a) the largest cone diameter, D, or

(b) the smallest cone diameter, d, or

(c) the cone diameter, d, at a place determined by its position in the axial direction

actual cone diameter, da: the distance between two parallel lines tangent to the intersection of the surface of the actual cone with a defined plane normal to the cone axis (see Fig. 8-7).

B-3.4 Definitions Relating to Actual Cone Angles

actual cone aiigle in any axial plane section, the angle between the two pairs of parallel straight lines that enclose the form errors of the two generators in such a way that the maximum distance between them is the least possible value (see Fig. 11-14). For a given cone. there is not only one actual cone angle; for cones having deviations of roundness, the actual cone angle will be different in different axial planes (see a1 and a in Fig. 11-14).

ai7erage actual cane angle: the arithmetical average value of the actual cone angle measured in accordance with the definition above in several equally distributed axial plane sections. Amongst the axial planes chosen, one at least shall cover the greatest deviation of roundness from the circle line of the cone diameter.

B-3.5 Definition Relating to Cone Tolerance Space

cone tolerance space: for the conical surface, the space between the two limit cones. Cone tolerance space includes all the tolerances referred to in para. B-3.3. It may be represented by tolerance zones in two plane sections (see Figs. 11-8 and 11-12).

B-3.6 Definitions Relating to Cone Tolerance Zones

cone diameter tolerance zone: in a graphic representation. that zone, lying in the plane section of the cone axis, which is limited by the limit cones. The total tolerances zone is represented in Figs. 11-8 and 11-12 by the hatched portions that also indicate the cone tolerance space. It includes the tolerances for the cone diameter, the cone angle, the roundness, and the straightness that can occupy the whole cone tolerance zone. In general, each of these particular deviations occupies a part of the cone diameter tolerance zone only.