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ISO 286-1, Second Edition, 2010-04-15
Universidad Autónoma de Santo Domingo
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Reference number ISO 286-1:2010(E)
© ISO 2010
INTERNATIONAL
STANDARD
ISO
286-
Second edition 2010-04-
Geometrical product specifications
(GPS) — ISO code system for tolerances
on linear sizes —
Part 1:
Basis of tolerances, deviations and fits
Spécification géométrique des produits (GPS) — Système de codification ISO pour les tolérances sur les tailles linéaires —
Partie 1: Base des tolérances, écarts et ajustements
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Foreword
ISO (the International Organization for Standardization) is a worldwide federation of national standards bodies (ISO member bodies). The work of preparing International Standards is normally carried out through ISO technical committees. Each member body interested in a subject for which a technical committee has been established has the right to be represented on that committee. International organizations, governmental and non-governmental, in liaison with ISO, also take part in the work. ISO collaborates closely with the International Electrotechnical Commission (IEC) on all matters of electrotechnical standardization.
International Standards are drafted in accordance with the rules given in the ISO/IEC Directives, Part 2.
The main task of technical committees is to prepare International Standards. Draft International Standards adopted by the technical committees are circulated to the member bodies for voting. Publication as an International Standard requires approval by at least 75 % of the member bodies casting a vote.
Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. ISO shall not be held responsible for identifying any or all such patent rights.
ISO 286-1 was prepared by Technical Committee ISO/TC 213, Dimensional and geometrical product specifications and verification.
This second edition of ISO 286-1 cancels and replaces ISO 286-1:1988 and ISO 1829:1975, which have been technically revised.
ISO 286 consists of the following parts, under the general title Geometrical product specifications (GPS) — ISO code system for tolerances on linear sizes :
⎯ Part 1: Basis of tolerances, deviations and fits
⎯ Part 2: Tables of standard tolerance grades and limit deviations for holes and shafts
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Introduction
This International Standard is a geometrical product specification (GPS) standard and is to be regarded as a general GPS standard (see ISO/TR 14638). It influences chain links 1 and 2 of the chain of standards on size in the general GPS matrix.
For more detailed information on the relation of this part of ISO 286 to the GPS matrix model, see Annex C.
The need for limits and fits for machined workpieces was brought about mainly by the requirement for interchange ability between mass produced parts and the inherent inaccuracy of manufacturing methods, coupled with the fact that “exactness” of size was found to be unnecessary for the most workpiece features. In order that fit function could be satisfied, it was found sufficient to manufacture a given workpiece so that its size lay within two permissible limits, i. a tolerance, this being the variation in size acceptable in manufacture while ensuring the functional fit requirements of the product.
Similarly, where a specific fit condition is required between mating features of two different workpieces, it is necessary to ascribe an allowance, either positive or negative, to the nominal size to achieve the required clearance or interference. This part of ISO 286 gives the internationally accepted code system for tolerances on linear sizes. It provides a system of tolerances and deviations suitable for two features of size types: “cylinder” and “two parallel opposite surfaces”. The main intention of this code system is the fulfilment of the function fit.
The terms “hole”, “shaft” and “diameter” are used to designate features of size type cylinder (e. for the tolerancing of diameter of a hole or shaft). For simplicity, they are also used for two parallel opposite surfaces (e. for the tolerancing of thickness of a key or width of a slot).
The pre-condition for the application of the ISO code system for tolerances on linear sizes for the features forming a fit is that the nominal sizes of the hole and the shaft are identical.
The previous edition of ISO 286-1 (published in 1988) had the envelope criterion as the default association criterion for the size of a feature of size; however, ISO 14405-1 changes this default association criterion to the two-point size criterion. This means that form is no longer controlled by the default specification of size.
In many cases, the diameter tolerances according to this part of ISO 286 are not sufficient for an effective control of the intended function of the fit. The envelope criterion according to ISO 14405-1 may be required. In addition, the use of geometrical form tolerances and surface texture requirements may improve the control of the intended function.
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####### INTERNATIONAL STANDARD ISO 286-1:2010(E)
####### © ISO 2010 – All rights reserved 1
Geometrical product specifications (GPS) — ISO code system
for tolerances on linear sizes —
Part 1:
Basis of tolerances, deviations and fits
1 Scope
This part of ISO 286 establishes the ISO code system for tolerances to be used for linear sizes of features of the following types:
a) cylinder;
b) two parallel opposite surfaces.
It defines the basic concepts and the related terminology for this code system. It provides a standardized selection of tolerance classes for general purposes from amongst the numerous possibilities.
Additionally, it defines the basic terminology for fits between two features of size without constraints of orientation and location and explains the principles of “basic hole” and “basic shaft”.
2 Normative references
The following referenced documents are indispensable for the application of this document. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies.
ISO 286-21), Geometrical product specifications (GPS) — ISO code system for tolerances on linear sizes — Part 2: Tables of standard tolerance grades and limit deviations for holes and shafts
ISO 14405-1, Geometrical product specifications (GPS) — Dimensional tolerancing — Part 1: Linear sizes
ISO 14660-1:1999, Geometrical Product Specifications (GPS) — Geometrical features — Part 1: General terms and definitions
ISO 14660-2:1999, Geometrical Product Specifications (GPS) — Geometrical features — Part 2: Extracted median line of a cylinder and a cone, extracted median surface, local size of an extracted feature
3 Terms and definitions
For the purposes of this document, the terms and definitions given in ISO 14405-1 and ISO 14660-1 and the following apply. It should be noted, however, that some of the terms are defined in a more restricted sense than in common usage.
- To be published. (Revision of ISO 286-2:1988)
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####### 2 © ISO 2010 – All rights reserved
####### 3 Basic terminology
3. feature of size geometrical shape defined by a linear or angular dimension which is a size
[ISO 14660-1:1999, definition 2]
NOTE 1 The feature of size can be a cylinder, a sphere, two parallel opposite surfaces.
NOTE 2 In former editions of international standards, such as ISO 286-1 and ISO/R 1938, the meanings of the terms “plain workpiece” and “single features” are close to that of “feature of size”.
NOTE 3 For the purpose of ISO 286, only features of size type cylinder as well as type-two parallel opposite surfaces, defined by a linear dimension, apply.
3. nominal integral feature theoretically exact integral feature as defined by a technical drawing or by other means
[ISO 14660-1:1999, definition 2]
3. hole internal feature of size of a workpiece, including internal features of size which are not cylindrical
NOTE See also Introduction.
3. basic hole hole chosen as a basis for a hole-basis fit system
NOTE 1 See also 3.4.1.
NOTE 2 For the purpose of the ISO code system, a basic hole is a hole for which the lower limit deviation is zero.
3. shaft external feature of size of a workpiece, including external features of size which are not cylindrical
NOTE See also Introduction.
3. basic shaft shaft chosen as a basis for a shaft-basis fit system
NOTE 1 See also 3.4.1.
NOTE 2 For the purposes of the ISO code system, a basic shaft is a shaft for which the upper limit deviation is zero.
####### 3 Terminology related to tolerances and deviations
3. nominal size size of a feature of perfect form as defined by the drawing specification
See Figure 1.
NOTE 1 Nominal size is used for the location of the limits of size by the application of the upper and lower limit deviations.
NOTE 2 In former times, this was referred to as “basic size”.
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####### 4 © ISO 2010 – All rights reserved
Key
1 tolerance interval 2 sign convention for deviations a Nominal size. b Upper limit of size. c Lower limit of size. d Upper limit deviation. e Lower limit deviation (in this case also fundamental deviation). f Tolerance.
NOTE The horizontal continuous line, which limits the tolerance interval, represents the fundamental deviations for a hole. The dashed line, which limits the tolerance interval, represents the other limit deviation for a hole.
Figure 1 — Illustration of definitions (a hole is used in the example)
3.2. lower limit deviation EI (to be used for internal features of size) ei (to be used for external features of size) lower limit of size minus nominal size
See Figure 1.
NOTE Lower limit deviation is a signed value and may be negative, zero or positive.
3. fundamental deviation limit deviation that defines the placement of the tolerance interval in relation to the nominal size
NOTE 1 The fundamental deviation is that limit deviation, which defines that limit of size which is the nearest to the nominal size (see Figure 1 and 4.1.2).
NOTE 2 The fundamental deviation is identified by a letter (e. B, d).
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####### © ISO 2010 – All rights reserved 5
3.
####### ∆ value
variable value added to a fixed value to obtain the fundamental deviation of an internal feature of size
See Table 3.
3. tolerance difference between the upper limit of size and the lower limit of size
NOTE 1 The tolerance is an absolute quantity without sign.
NOTE 2 The tolerance is also the difference between the upper limit deviation and the lower limit deviation.
3.2. tolerance limits specified values of the characteristic giving upper and/or lower bounds of the permissible value
3.2. standard tolerance IT any tolerance belonging to the ISO code system for tolerances on linear sizes
NOTE The letters in the abbreviated term “IT” stand for “International Tolerance”.
3.2. standard tolerance grade group of tolerances for linear sizes characterized by a common identifier
NOTE 1 In the ISO code system for tolerances on linear sizes, the standard tolerance grade identifier consists of IT followed by a number (e. IT7); see 4.1.2.
NOTE 2 A specific tolerance grade is considered as corresponding to the same level of accuracy for all nominal sizes.
3.2. tolerance interval variable values of the size between and including the tolerance limits
NOTE 1 The former term “tolerance zone”, which was used in connection with linear dimensioning (according to ISO 286-1:1988), has been changed to “tolerance interval” since an interval refers to a range on a scale whereas a tolerance zone in GPS refers to a space or an area, e. tolerancing according to ISO 1101.
NOTE 2 For the purpose of ISO 286, the interval is contained between the upper and the lower limits of size. It is defined by the magnitude of the tolerance and its placement relative to the nominal size (see Figure 1).
NOTE 3 The tolerance interval does not necessarily include the nominal size (see Figure 1). Tolerance limits may be two-sided (values on both sides of the nominal size) or one-sided (both values on one side of the nominal size). The case where the one tolerance limit is on one side, the other limit value being zero, is a special case of a one-sided indication.
3.2. tolerance class combination of a fundamental deviation and a standard tolerance grade
NOTE In the ISO code system for tolerances on linear sizes, the tolerance class consists of the fundamental deviation identifier followed by the tolerance grade number (e. D13, h9, etc.), see 4.2.
####### 3 Terminology related to fits
The concepts in this clause relate only to nominal features of size (perfect form). For the model definition of a nominal feature of size, see ISO 17450-1:—, 3.
For the determination of a fit, see 5.
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####### © ISO 2010 – All rights reserved 7
3.3. transition fit fit which may provide either a clearance or an interference between the hole and the shaft when assembled
See Figure 4.
NOTE In a transition fit, the tolerance intervals of the hole and the shaft overlap either completely or partially; therefore, if there is a clearance or an interference depends on the actual sizes of the hole and the shaft.
Key
1 tolerance interval of the hole 2 tolerance interval of the shaft, case 1: when the upper limit of size of the shaft is lower than the lower limit of size of the hole, the minimum clearance is larger than zero 3 tolerance interval of the shaft, case 2: when the upper limit of size of the shaft is identical to the lower limit of size of the hole, the minimum clearance is zero a Minimum clearance. b Maximum clearance. c Nominal size = lower limit of size of the hole.
NOTE The horizontal continuous wide lines, which limit the tolerance intervals, represent the fundamental deviations. The dashed lines, which limit the tolerance intervals, represent the other limit deviations.
Figure 2 — Illustration of definitions of a clearance fit (nominal model)
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####### 8 © ISO 2010 – All rights reserved
Key
1 tolerance interval of the hole 2 tolerance interval of the shaft, case 1: when the lower limit of size of the shaft is identical to the upper limit of size of the hole, the minimum interference is zero 3 tolerance interval of the shaft, case 2: when the lower limit of size of the shaft is larger than the upper limit of size of the hole, the minimum interference is larger than zero a Maximum interference. b Minimum interference. c Nominal size = lower limit of size of the hole.
NOTE The horizontal continuous wide lines, which limit the tolerance intervals, represent the fundamental deviations. The dashed lines, which limit the tolerance intervals, represent the other limit deviations.
Figure 3 — Illustration of definitions of an interference fit (nominal model)
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####### 10 © ISO 2010 – All rights reserved
NOTE A fit system in which the lower limit of size of the hole is identical to the nominal size. The required clearances or interferences are obtained by combining shafts of various tolerance classes with basic holes of a tolerance class with a fundamental deviation of zero.
3.4. shaft-basis fit system fits where the fundamental deviation of the shaft is zero, i. the upper limit deviation is zero
See Figure 6.
NOTE A fit system in which the upper limit of size of the shaft is identical to the nominal size. The required clearances or interferences are obtained by combining holes of various tolerance classes with basic shafts of a tolerance class with a fundamental deviation of zero.
Key
1 basic hole “H” 2 tolerance interval of the basic hole 3 tolerance interval of the different shafts a Nominal size.
NOTE 1 The horizontal continuous lines, which limit the tolerance intervals, represent the fundamental deviations for a basic hole and different shafts.
NOTE 2 The dashed lines, which limit the tolerance intervals, represent the other limit deviations. NOTE 3 The figure shows the possibility of combinations between a basic hole and different shafts, related to their standard tolerance grades. NOTE 4 Possible examples of hole-basis fits are: H7/h6, H6/k5, H6/p4.
Figure 5 — Hole-basis fit system
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####### © ISO 2010 – All rights reserved 11
Key 1 basic shaft “h” 2 tolerance interval of the basic shaft 3 tolerance interval of the different holes a Nominal size.
NOTE 1 The horizontal continuous lines, which limit the tolerance intervals, represent the fundamental deviations for a basic shaft and different holes. NOTE 2 The dashed lines, which limit the tolerance intervals, represent the other limit deviations. NOTE 3 The figure shows the possibility of combinations between a basic shaft and different holes, related to their standard tolerance grades. NOTE 4 Possible examples of shaft-basis fits are: h6/G7, h6/H6, h6/M6.
Figure 6 — Shaft-basis fit system
4 ISO code system for tolerances on linear sizes
####### 4 Basic concepts and designations
4.1 Relation to ISO 14405-
A feature of size may be toleranced by using the ISO code system defined in this part of ISO 286 or by using
- and − tolerancing according to ISO 14405-1. Both indications are equivalent.
EXAMPLE 1
x 32 y is equivalent to 32 “code”
where
32 is the nominal size, in millimeters;
x is the upper tolerance limit (x can be positive, zero or negative);
y is the lower tolerance limit (y can be positive, zero or negative);
“code” is the tolerance class according to 4.2.
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NOTE 1 To avoid confusion, the following letters are not used: I, i; L, l; O, o; Q, q; W, w.
NOTE 2 The fundamental deviations are not defined individually for each specific nominal size, but for ranges of nominal sizes as given in Tables 2 to 5.
The fundamental deviation in micrometres is a function of the identifier (letter) and the nominal size of the toleranced feature.
Tables 2 and 3 contain the signed values of the fundamental deviations for hole tolerances. Tables 4 and 5 contain the signed values of the fundamental deviations for shaft tolerances.
The sign + is used when the tolerance limit identified by the fundamental deviation is above nominal size and the sign − is used when the tolerance limit identified by the fundamental deviation is below nominal size.
Each of the columns in Tables 2 to 5 gives the values of the fundamental deviation for one fundamental deviation identifier letter. Each of the rows is representing one range of sizes. The limits of the ranges of sizes are given in the first column of the tables.
The other limit deviation (upper or lower) is established from the fundamental deviation and the standard tolerance (IT) as shown in Figures 8 and 9.
NOTE 3 The concept of fundamental deviations does not apply to JS and js. Their tolerance limits are distributed symmetrically about the nominal size line (see Figures 8 and 9).
NOTE 4 The ranges of sizes in Tables 2 to 5 are in many cases (for deviations a to c and r to zc or A to C and R to ZC) subdivisions of the main ranges of Table 1.
####### The last six columns on the right side of Table 3 contain a separate table with ∆-values. ∆ is a function of the
tolerance grade and the nominal size of the toleranced feature. It is only relevant for deviations K to ZC and for standard tolerance grades IT3 to IT7/IT8.
####### The value of ∆ shall be added to the fixed value given in the main table, whenever +∆ is indicated, to form the
correct value of the fundamental deviation.
####### 4 Designation of the tolerance class (writing rules)
4.2 General
The tolerance class shall be designated by the combination of an upper-case letter(s) for holes and lower- case letters for shafts identifying the fundamental deviation and by the number representing the standard tolerance grade.
EXAMPLE H7 (holes), h7 (shafts).
4.2 Size and its tolerance
A size and its tolerance shall be designated by the nominal size followed by the designation of the required tolerance class, or shall be designated by the nominal size followed by + and/or − limit deviations (see ISO 14405-1).
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####### 14 © ISO 2010 – All rights reserved
In the following examples the indicated limit deviations are equivalent to the indicated tolerance classes.
EXAMPLE 1
ISO 286 ISO 14405-
32 H7 ≡ 32 +0,025 0
80 js15 ≡ 80 ± 0,
100 g6 ≡ 100 −−0,0120,
NOTE When using + or − tolerancing determined from a tolerance class, the tolerance class may be added in brackets for auxiliary information purposes and vice versa.
EXAMPLE 2 ( )
0, 32 H7 0
0, 32 0
(H7)
4.2 Determination of a tolerance class
Determination of a tolerance class is derived from fit requirements (clearances, interferences), see 5.3.
####### 4 Determination of the limit deviations (reading rules)
4.3 General
The determination of the limit deviations for a given toleranced size, e. the transformation of a tolerance class into + and − tolerancing can be performed by the use of:
⎯ the Tables 1 to 5 of this part of ISO 286 (see 4.3); or
⎯ the tables of ISO 286-2 (see 4.3). Only selected cases are covered.
4.3 Determination of limit deviations using the tables of this part of ISO 286
4.3.2 General
The tolerance class is decomposed into the fundamental deviation identifier and the standard tolerance grade number.
EXAMPLE Toleranced size for a hole 90 F7 and for a shaft 90 f
where
90 is the nominal size in millimetres;
F is the fundamental deviation identifier for a hole;
f is the fundamental deviation identifier for a shaft;
7 is the standard tolerance grade number;
is the envelope requirement according to ISO 14405-1 (if necessary).
4.3.2 Standard tolerance grade
From the standard tolerance grade number, the standard tolerance grade (IT x ) is obtained.
From the nominal size and the standard tolerance grade the magnitude of the tolerance, e. the standard tolerance value is obtained by the use of Table 1.
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ISO 286-1, Second Edition, 2010-04-15
Materia: Procesos De Impresión II (COM-5280)
Universidad: Universidad Autónoma de Santo Domingo
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