ISO 286 1 Limites y Ajustes

36
INTERNATIONAL STANDARD INTERNATIONAL ORGANIZATION FOR STANDARDIZATION ORGANISATION INTERNATIONALE DE NORMALISATION MEXJJYHAPOAHAR OPTAHM3A~Mfl f-t0 CTAHflAPTM3A~MM IS0 system of limits and fits - Part I : Bases of tolerances, deviations and fits Syst&me IS0 de tokkances et d’ajustements - Partie 7: Base des tokances, harts et ajustements IS0 286-l First edition 1988-09-15 Reference number IS0 286-l : 1988 (E) © ISO 2009 - This is a single-user license for personal use only. All other uses prohibited.

Transcript of ISO 286 1 Limites y Ajustes

Page 1: ISO 286 1 Limites y Ajustes

INTERNATIONAL STANDARD

INTERNATIONAL ORGANIZATION FOR STANDARDIZATION ORGANISATION INTERNATIONALE DE NORMALISATION MEXJJYHAPOAHAR OPTAHM3A~Mfl f-t0 CTAHflAPTM3A~MM

IS0 system of limits and fits -

Part I : Bases of tolerances, deviations and fits

Syst&me IS0 de tokkances et d’ajustements -

Partie 7 : Base des tokances, harts et ajustements

IS0 286-l First edition 1988-09-15

Reference number IS0 286-l : 1988 (E)

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Page 2: ISO 286 1 Limites y Ajustes

Foreword

IS0 (the International Organization for Standardization) is a worldwide federation of national standards bodies (is0 member bodies). The work of preparing International Standards is normally carried out through IS0 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, govern- mental and non-governmental, in liaison with ISO, also take part in the work.

Draft International Standards adopted by the technical committees are circulated to the member bodies for approval before their acceptance as International Standards by the IS0 Council. They are approved in accordance with IS0 procedures requiring at least 75 % approval by the member bodies voting.

This part of IS0 286 has been prepared by ISO/TC 3, Limits and fits, and, together with IS0 286-2, completes the revision of ISO/R 286, /SO system of limits and fits. ISO/R 286 was first published in 1962 and subsequently confirmed in November 1964; it was based on ISA Bulletin 25 first published in 1940.

The major changes incorporated in this part of IS0 286 are as follows:

a) The presentation of the information has been modified so that IS0 286 can be used directly in both the design office and the workshop. This has been achieved by separating the material dealing with the bases of the system, and the calculated values of standard tolerances and fundamental deviations, from the tables giving specific limits of the most commonly used tolerances and deviations.

b) The new symbols js and JS replace the former symbols js and Js (i.e. s and S are no longer placed as subscripts) to facilitate the use of the symbols on equipment with limited character sets, e.g. computer graphics. The letters “s” and “S” stand for “symmetrical deviation”.

c) Standard tolerances and fundamental deviations have been included for basic sizes from 500 to 3 150 mm as standard requirements (these were previously included on an experimental basis only).

d) Two additional standard tolerance grades, IT17 and IT18, have been included.

e) Standard tolerance grades IT01 and IT0 have been deleted from the main body of this part of IS0 286, although information on these grades is given in annex A for users who may have a requirement for such grades.

f) Inch values have been deleted.

9) The principles, terminology bY contemporary technology.

and symbols aligned required

Users should note that all International Standards undergo revision from time to time and that any reference made herein to any other International Standard implies its latest edition, unless otherwise stated.

0 International Organization for Standardization, 1988 0

Printed in Switzerland

ii

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Page 3: ISO 286 1 Limites y Ajustes

ISO286-1:1988 EI

Contents

6

7

8

9

IO

Introduction. ....................................................... 1

Scope ............................................................. 1

Field of application .................................................. 1

References ......................................................... 1

Terms and definitions ................................................ 2

Symbols, designation and interpretation of tolerances, deviations andfits.. .......................................................... 6

Graphical representation ............................................. 9

Reference temperature ............................................... 10

Standard tolerances for basic sizes up to 3 150 mm. ...................... 10

Fundamental deviations for basic sizes up to 3 150 mm ................... 10

Bibliography ........................................................ 16

Annexes

A Bases of the IS0 system of limits and fits ............................... 17

B Examples of the use of IS0 286-l ....................................... 23

C Equivalentterms .................................................... 24

. . . III

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Page 5: ISO 286 1 Limites y Ajustes

INTERNATIONAL STANDARD IS02864 : 1988 (E)

IS0 system of limits and fits -

Part 1: Bases of tolerances, deviations and fits

0 Introduction

The need for limits and fits for machined workpieces was brought about mainly by the inherent inaccuracy of manufac- turing methods, coupled with the fact that “exactness” of size was found to be unnecessary for most workpieces. In order that function could be satisfied, it was found sufficient to manufacture a given workpiece so that its size lay within two permissible limits, i.e. a tolerance, this being the variation in size acceptable in manufacture.

Similarly, where a specific fit condition is required between mating workpieces, it is necessary to ascribe an allowance, either positive or negative, to the basic size to achieve the re- quired clearance or interference, i.e. a “deviation”.

With developments in industry and international trade, it became necessary to develop formal systems of limits and fits, firstly at the industrial level, then at the national level and later at the international level.

This International Standard therefore gives the internationally accepted system of limits and fits.

Annexes A and B give the basic formulae and rules necessary for establishing the system, and examples in the use of the standard are to be regarded as an integral part of the standard.

Annex C gives a list of equivalent terms used in IS0 286 and other International Standards on tolerances.

1 Scope

This part of IS0 286 gives the bases of the IS0 system of limits and fits together with the calculated values of the standard tolerances and fundamental deviations. These values shall be taken as authoritative for the application of the system (see also clause A. 1).

This part of IS0 286 also gives terms and definitions together with associated symbols.

2 Field of application

The IS0 system of limits and fits provides a system of tolerances and deviations suitable for plain workpieces.’

For simplicity and also because of the importance of cylindrical workpieces of circular section, only these are referred to ex- plicitly. It should be clearly understood, however, that the tolerances and deviations given in this International Standard equally apply to workpieces of other than circular section.

In particular, the general term “hole” or “shaft” can be taken as referring to the space contained by (or containing) the two parallel faces (or tangent planes) of any workpiece, such as the width of a slot or the thickness of a -key.

The system also provides for fits between mating cylindrical features or fits between workpieces having features with parallel faces, such as the fit between a key and keyway, etc.

NOTE - It should be noted that the system is not intended to provide fits for workpieces with features having other than simple geometric forms.

For the purposes of this part of IS0 286, a simple geometric form consists of a cylindrical surface area or two parallel planes.

3 References

NOTE - See also clause 10.

IS0 1, Standard reference temperature for industrial length measurements.

IS0 286-2, IS0 system of limits and fits - Part 2: Tables of standard tolerance grades and limit deviations for holes and shafts.

IS01 R 1938, IS0 system of limits and fits - Inspection of plain workpieces. 1 )

IS0 8015, Technical drawings - Fundamental tolerancing principle.

1) At present under revision.

1

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Is0 286-1 : 1988 E)

4 Terms and definitions

For the purposes of this International Standard, the following terms and definitions apply. It should be noted, however, that some of the terms are defined in a more restricted sense than in common usage.

4.1 shaft: A term used, according to convention, to describe an external feature of a workpiece, including features which are not cylindrical (see also clause 2).

4.1.1 basic shaft: Shaft chosen as a basis for a shaft-basis system of fits (see also 4.11.1).

For the purposes of the IS0 system of limits and fits, a shaft the upper deviation of which is zero.

4.2 hole : A term used, according to convention, to describe an internal feature of a workpiece, including features which are not cylindrical (see also clause 2).

4.2.1 basic hole: Hole chosen as a basis for a hole-basis system of fits (see also 4.11.2).

For the purposes of the IS0 system lower deviation of which is zero.

of limits and fits, a hole the

4.5 zero line: In a graphical representation of limits and fits, the straight line, representing the basic size, to which the devi- ations and tolerances are referred (see figure 7).

According to conventio n, the zero line is with positive deviations shown above and below (see figure 2).

Zero line (4.5)

ti

zf

:

w .- cn 0 .a 8

M

4.3 size : A number expressing, in numerical value of a linear dimension.

a particular unit, the Figure 1 - Basic

4.3.1 basic size; nominal size: The size from which the limits of size are derived by the application of the upper and lower deviations (see figure 1).

NOTE - e.g. 32;

The basic size 15; 8,75; 0,5;

can be a etc.

or a number,

4.3.2 actual size: The size of a feature, obtained by measurement.

4.3.2.1 actual local size: Any individual distance at any cross-section of a feature, i.e. any size measured between any two opposite points.

4.3.3 limits of size: The two extreme permissible sizes of a feature, between which the actual size should lie, the limits of size being included.

4.3.3.1 maximum limit of size: The greatest permissible size of a feature (see figure 1).

4.3.3.2 minimum limit of size : The smallest permissible size of a feature (see figure 1).

4.4 limit deviations.

system: A system of standardized tolerances and

Es

drawn horizontally, negative deviations

size, and maxim limits of size

urn and minimum

4.6 deviation: The algebraic difference between a size (actual size, limit of size, etc.) and the corresponding basic size.

NOTE - Symbols for shaft deviations are lower case letters (es, ei) and symbols for hole deviations are upper case letters (Es, EI) (see figure 2).

4.6.1 limit deviations : Upper deviation and lower deviation.

4.6.1.1 upper deviation (ES, es) : The algebraic difference between the maximum limit of size and the corresponding basic size (see figure 2).

4.6.1.2 lower deviation (EL ei) : The algebraic difference between the minimum limit of size and the corresponding basic size (see figure 2).

4.6.2 fundamental deviation: For the purposes of the IS0 system of limits and fits, that deviation which defines the position of the tolerance zone in relation to the zero line (see figure 2).

NOTE - This may be either the upper or lower deviation, but, accord- ing to convention, the fundamental deviation is the one nearest the zero line.

4.7 size tolerance: The difference between the maximum limit of size and the minimum limit of size, i.e. the difference between the upper deviation and the lower deviation.

NOTE - The tolerance is an absolute value without sign.

2

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IS0 286-l I 1988 E)

+

5 P 0

l -

z

0

I

.-

2

n

-

- Lower deviation (EI, ei 1 (4.6.1.2)

Tolerance zone (4.7.3)

tolerance (4.7)

Zero line (4.5) A

T - (ES, es)

(4.6.1.1) ,~ w

- F- ti s 8 .- cn 0 .- Ei m

Figure 2 - Conventional representation of a tolerance zone

4.7.1 standard tolerance (IT) : For the purposes of the IS0 system of limits and fits, any tolerance belonging to this system.

NOTE - The letters of the symbol IT stand for “International Tolerance” grade.

4.7.2 standard tolerance grades: For the purposes of the IS0 system of limits and fits, a group of tolerances (e.g. IJ7), considered as corresponding to the same level of accuracy for all basic sizes.

4.7.3 tolerance zone : In a graphical representation of tolerances, the zone, contained between two lines representing the maximum and minimum limits of size, defined by the magnitude of the tolerance and its position relative to the zero line (see figure 2).

4.7.4 tolerance class: The term used for a combination of fundamental deviation and a tolerance grade, e.g. h9, D13, etc.

4.7.5 standard tolerance factor (i, I): For the purposes of the IS0 system of limits and fits, a factor which is a function of the basic size, and which is used as a basis for the determi- nation of the standard tolerances of the system.

NOTES

1 The standard tolerance factor i is applied to basic sizes less than or equal to 500 mm.

2 The standard tolerance factor I is applied to basic sizes greater than 500 mm.

4.8 clearance: The positive difference between the sizes of the hole and the shaft, before assembly, when the diameter of the shaft is smaller than the diameter of the hole (see figure 3).

r Clearance (4.8)

Figure 3 - Clearance

4.8.1 minimum clearance: In a clearance fit, the positive difference between the minimum limit of size of the hole and the maximum limit of size of the shaft (see figure 4).

4.8.2 maximum clearance: In a clearance or transition fit, the positive difference between the maximum limit of size of the hole and the minimum limit of size of the shaft (see figures 4 and 5).

4.9 interference : The negative difference between the sizes of the hole and the shaft, before assembly, when the diameter of the shaft is larger than the diameter of the hole (see figure 6).

4.9.1 minimum interference: In an interference fit, the negative difference, before assembly, between the maximum limit of size of the hole and the minimum limit of size of the shaft (see figure 7).

.

A- C- 4 s

ti ii 5 a

z E

i .- .- ;

1

I ci 06 5

Figure 4 - Clearance fit

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IS0 286-1 : 1988 (E)

Maximum

r clearance (4.8.2) 1

Maximum

Maximum Minimum interference ‘-1 I- interference

interference 2 (4.9.2)

Figure 5 - Transition fit

Interference

Figure 6 - Interference

Figure 7 - Interference fit

(4.9)

4.9.2 maximum interference: In an interference or tran- sition fit, the negative difference, before assembly, between the minimum limit of size of the hole and the maximum limit of size of the shaft (see figures 5 and 7).

4.10 fit: The relationship resulting from the difference, before assembly, between the sizes of the two features (the hole and the shaft) which are to be assembled.

4.10.1 clearance fit: A fit that always provides a clearance between the hole and shaft when assembled, i.e. the minimum size of the hole is either greater than or, in the extreme case, equal to the maximum size of the shaft (see figure 8).

Hole Hole

Shaft

Shaft

Figure 8 - Schematic representation of clearance fits

4.10.2 interference fit: A fit which everywhere provides an interference between the hole and shaft when assembled, i.e. the maximum size of the hole is either smaller than or, in the ex- treme case, equal to the minimum size of the shaft (see figure 9).

Shaft

Hole

Shaft

t Hole

Zero line .

NOTE - The two mating parts of a fit have a common basic size. Figure 9 - Schematic representation of interference fits

4

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IS0 286-l : 1988 (El

4.103 transition fit: A fit which may provide either a clearance or an interference between the hole and shaft when assembled, depending on the actual sizes of the hole and shaft, i.e. the tolerance zones of the hole and the shaft overlap com- pletely or in part (see figure IO).

. . . Shaft Hole

Zero line ,

Figure 10 - Schematic representation of transition fits

4.10.4 variation of a fit: The arithmetic sum of the tolerances of the two features comprising the fit.

NOTE - The variation of a fit is an absolute value without sign.

4.11 fit system : A system of fits comprising shafts and holes belonging to a limit system.

4.11.1 shaft-basis system of fits: A system of fits in which the required clearances or interferences are obtained by associating holes of various tolerance classes with shafts of a single tolerance class.

For the purposes of the IS0 system of limits and fits, a system of fits in which the maximum limit of size of the shaft is identical to the basic size, i.e. the upper deviation is zero (see figure I I).

Shaft “h”

L Basic size (4.3.1)

NOTES

1 The horizontal continuous lines represent the fundamental devi- ations for holes or shafts.

2 The dashed lines represent the other limits and show the possibility of different combinations between holes and shafts, related to their grade of tolerance (e.g. G71h4, H6/h4, M5/h4).

4.11.2 hole-basis. system of fits : A system of fits in which the required clearances or interferences are. obtained by associating shafts of various tolerance classes with holes of a single tolerance class.

For the purposes of the IS0 system of limits and fits, a system of fits in which the minimum limit of size of the hole is identical to the basic size, i.e. the lower deviation is zero (see figure 12).

- Basic size (4.3.1)

NOTES

1 The horizontal continuous lines represent the fundamental devi- ations for holes or shafts.

2 The dashed lines represent the other limits and show the possibility of different combinations between holes and shafts, related to their grade of tolerance (e.g. H6/ h6, H6/js5, H6/p4).

Figure 12 - Hole-basis system of fits

4.12 maximum material limit (MML): The designation applied to that of the two limits of size which corresponds to the maximum material size for the feature, i.e.

- the maximum (upper) limit of size for an external feature (shaft),

- the minimum (lower) limit of size for an internal feature (hole).

NOTE - Previously called “GO limit”.

4.13 least material limit (LMLI : The designation applied to that of the two limits of size which corresponds to the minimum material size for the feature, i.e.

- the minimum (lower) limit of size for an external feature (shaft),

- the maximum (upper) limit of size for an internal feature (hole).

Figure 11 - Shaft-basis system of fits NOTE - Previously called “NOT GO limit”.

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Page 10: ISO 286 1 Limites y Ajustes

IS0 286-1 : 1988 (E)

Examples : 5 Symbols, designation and interpretation of tolerances, deviations and fits

5.1 Symbols

5.1 .l Standard tolerance grades

The standard tolerance grades are designated by the letters IT followed by a number, e.g. IJ7. When the tolerance grade is associated with (a) letter(s) representing a fundamental deviation to form a tolerance class, the letters IT are omitted, e.g. h7.

NOTE - The IS0 system provides for a total of 20 standard tolerance grades of which grades IT1 to IT18 are in general use and are given in the main body of the standard. Grades IT0 and ITOl, which are not in general use, are given in annex A for information purposes.

32H7 8OjsI5 10096

-0 012 IO0 -0:034

ATTENTION - In order to distinguish between holes and shafts when transmitting information on equipment with limited character sets, such as telex, the designation shall be prefixed by the following letters:

- H or h for holes;

- S or s for shafts.

Examples :

5OH5 becomes H5OH5 or h5Oh5 5Oh6 becomes S5OH6 or s5Oh6

5.1.2 Deviations

5.1.2.1 Position of tolerance zone

This method drawings.

of designation shall not be on

The position of the tolerance zone with respect to the zero line, which is a function of the basic size, is designated by (an) upper case letter(s) for holes (A . . . ZC) or (a) lower case letter(s) for shafts (a . . . zc) (see figures I3 and 14).

5.2.3 Fit

A fit requirement between mating features shall be designated bY

NOTE - To avoid confusion, the following letters are not used : a) the common basic size;

I, i; L, I; 0, 0; Q, q; W, w. b) the tolerance class symbol for the hole;

5.1.2.2 Upper deviations c) the tolerance class symbol for the shaft.

Examples : The upper deviations are designated by the letters “ES” for holes and the letters “es” for shafts.

Ii7 52H7lg6 or 52 -

96

5.1.2.3 Lower deviations

The lower deviations are designated by the letters “El” for holes and the letters “ei” for shafts.

ATTENTION - In order to distinguish between the hole and the shaft when transmitting information on equipment with limited character sets, such as telex, the designation shall be prefixed by the following letters:

5.2 Designation - H or h for holes;

- S or s for shafts;

5.2.1 Tolerance class - and the basic size repeated.

A tolerance class shall be designated by the letter(s) represent- ing the fundamental deviation followed by the number representing the standard tolerance grade.

Examples :

52H7/g6 becomes H52H7/S52G6 or h52h7/s52g6

Examples : This method of designation shall not be used on drawings.

H7 (holes) h7 (shafts) 5.3 Interpretation of a toleranced size

5.2.2 Toleranced size 5.3.1 Tolerance indication in accordance with IS0 8015

A toleranced size shall be designated by the basic size followed by the designation of the required tolerance class, or the ex- plicit deviations.

The tolerances for workpieces manufactured to drawings marked with the notation, Tolerancing IS0 8015, shall be interpreted as indicated in 5.3. I. I and 5.3.1.2.

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Is0 286-I : 1988 (El

2 0 .- z .- $ u 5 E E 3 z

NOTES

a) Holes (internal features)

b) Shafts (external features)

I According to convention, the fundamental deviation is the one defining the nearest limit to the zero line.

2 For details concerning fundamental deviations for J/j, K/k, M/m and N/n, see figure 14.

Figure 13 - Schematic representation of the positions of fundamental deviations

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Page 12: ISO 286 1 Limites y Ajustes

60286-1:1988 E) I

U N 0

CL

P

t 0

a

1

is

. . CL) l- 0 z

L

t 0

I-- l- --

. . LLJ l- 0 z

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Page 13: ISO 286 1 Limites y Ajustes

IS0 286-k 1988 a(E)

53.1 .I Linear size tolerances

A linear size tolerance controls only the actual local sizes (two- point measurements) of a feature, but not its form deviations (for example circularity and straightness deviations of a cylin- drical feature or flatness deviations of parallel surfaces). There is no control of the geometrical interrelationship of individual features by the size tolerances. (For further information, see ISO/R 1938 and IS0 8015.)

5.3.1.2 Envelope requirement

Single features, whether a cylinder, or established by two parallel planes, having the function of a fit between mating parts, are indicated on the drawing by the symbol @ in ad- dition to the dimension and tolerance. This indicates a mutual dependence of size and form which requires that the envelope of perfect form for the feature at maximum material size shall not be violated. (For further information, see ISO/R 1938 and IS0 8015.)

NOTE - Some national standards (which should be referred to on the drawing) specify that the envelope requirement for single features is the norm and therefore this is not indicated separately on the drawing.

53.2 Tolerance indication not in accordance with IS0 6015

The tolerances for workpieces manufactured to drawings which do not have the notation, Tolerancing IS0 6015, shall be interpreted in the following ways within the stipulated length :

a) For holes

The diameter of the largest perfect imaginary cylinder, which can be inscribed within the hole so that it just con- tacts the highest points of the surface, should not be smaller than the maximum material limit of size. The maximum diameter at any position in the hole shall not exceed the least material limit of size.

b) For shafts

The diameter of the smallest perfect imaginary cylinder, which can be circumscribed about the shaft so that it just contacts the highest points of the surface, should not be larger than the maximum material limit of size. The mini- mum diameter at any position on the shaft shall be not less than the least material limit of size.

The interpretations given in a) and b) mean that if a workpiece is everywhere at its maximum material limit, that workpiece should be perfectly round and straight, i.e. a perfect cylinder.

Unless otherwise specified, and subject to the above require- ments, departures from a perfect cylinder may reach the full value of the diameter tolerance specified. For further informa- tion, see ISO/R 1938.

NOTE - In special cases, the maximum form deviations permitted by the interpretations given in a) and b) may be too large to allow satisfac- tory functioning of the assembled parts: in such cases, separate tolerances should be given for the form, e.g. separate tolerances on circularity and/or straightness (see IS0 1101).

6 Graphical representation

The major terms and definitions given in clause 4 are illustrated in figure 15.

In practice, a schematic diagram such as that shown in figure 16 is used for simplicity. In this diagram, the axis of the workpiece, which is not shown in the figure, according to con- vention always lies below the diagram.

In the example illustrated, the two deviations positive and those of the shaft are negative.

of the hole are

K zi 8 r Upper deviation (4.6.1.1) -

r Lower deviation (4.6.1.2)

Hole (4.2) 1

Minimum limit of size (4.3.3.2) -

Maximum limit of size (4.3.3.1)

Basic size (4.3.1) A

Figure 15 - Graphical representation

+ 5 ii 0 .- % O- .- 2 n

-

Hole

Shaft

Figure 16 - Simplified schematic diagram

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IS0 286-l : 1988 (El

7 Reference temperature

The temperature at which the dimensions of the IS0 system of limits and fits are specified is 20 OC (see IS0 I).

8 Standard tolerances for basic sizes up to 315Omm

8.1 Basis of the system

The bases for calculating the standard tolerances are given in annex A.

8.2 Values of standard tolerance grades (IT)

Values of standard tolerance grades IT1 to IT18 inclusive are given in table 1. These values are to be taken as authoritative for the application of the system.

NOTE - Values for standard tolerance grades IT0 and IT01 are given in annex A.

9 Fundamental deviations for basic sizes up to315Omm

9.1 Fundamental deviations for shafts [except deviation js (see 9.3)]

The fundamental deviations for shafts and their respective sign ( + or - 1 are shown in figure 17. Values for the fundamental deviations are given in table 2.

The upper deviation (es) and lower deviation (ei) are estab- lished from the fundamental deviation and the standard tolerance grade (IT) as shown in figure 17.

Deviations a to h

Zero line

es = negative ( - 1 funda- mental deviation

ei = es - IT

Deviations k to zc

ei = positive ( + ) funda- mental deviation

es = ei + IT

Figure 17 - Deviations for shafts

9.2 Fundamental deviations for holes [except deviation JS (see 9.311

The fundamental deviations for holes and their respective sign ( + or - ) are shown in figure 18. Values for the fundamental deviations are given in table 3.

The upper deviation (ES) and lower deviation (H) are established from the fundamental deviation and the standard tolerance grade (IT) as shown in figure 18.

Deviations A to H

EI = positive (+ 1 funda- mental deviation

ES = EI + IT

Deviations K to ZC (not valid for tolerance grades

less than or equal to IT8 of deviation K and tolerance

class M8)

Zero line

ES = negative ( - 1 funda- mental deviation

EI = ES - IT

Figure 18 - Deviations for holes

9.3 Fundamental deviations js and JS (see figure 19)

The information given in 9.1 and 9.2 does not apply to fun- damental deviations js and JS, which are a symmetrical distribution of the standard tolerance grade about the zero line, i.e. for js:

IT es = ei = - 2

and for JS: IT

ES = EI.= - 2

es IT

r2 r ES

h w

El .

Shaft I Hole

L IT 2

Figure 19 - Deviations js and JS

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IS0 286-1 : 1988 (EI

9.4 Fundamental deviations j and J

The information given in 9.1 to 9.3 does not apply to fundamental deviations j and J, which are, for the most part, asymmetrical distributions of the standard tolerance grade about the zero line (see IS0 286-2, tables 8 and 24).

Table 1 - Numerical values of standard tolerance grades IT for basic sizes up to 3 150 mm ‘)

Basic size Standard tolerance grades

mm IT7 IT8 1 IT8 1 IT10 ] IT11 1 IT12 1 IT13 1 lTl43)1 IT153) 1 IT1631 ITl73)I IT1831 I up to Tolerances

Above and in- cluding IJm mm

- 33) 0,8 I,2 2 3 4 6 10 14 25 40 60 0,l 0,14 0,25 0,4 0,6 1 114 3 6 1 1,5 2,5 4 5 8 12 18 30 48 75 0,12 0,18 0,3 0,48 0,75 1,2 I,8

6 10 1 I,5 2,5 4 6 9 15 22 36 58 90 0,15 0,22 0,36 0,58 0;9 I,5 2,2 10 18 I,2 2 3 5 8 11 18 27 43 70 110 0,18 0,27 0,43 0,7 1,1' I,8 2,7

18 30 I,5 2,5 4 6 9 13 21 33 52 84 130 0,21 0,33 0,52 0,84 I,3 2,l 3,3

30 50 I,5 2,5 4 7 11 16 25 39 62 100 160 0,25 0,39 0,62 1 1,6 2,5 3,9

50 80 2,, 3 5 8 13 19 30 46 74 120 190 0,3 0,46 0,74 1,2 I,9 3 4,6

80 120 2,5 4 6 10 15 22 35 54 87 140 220 0,35 0,54 0,87 I,4 2,2 3,5 5,4-

120 180 3,5 5 8 12 18 25 40 63 100 160 250 0,4 0,63 1 I,6 2,5 4 613 180 250 4,5 7 10 14 20 29 46 72 115 185 290 0,46 0,72 I,15 1,85 2,9 4,6 7,2

250 315 6 8 12 16 23 32 52 81 130 210 320 0,52 0,81 I,3 2,l 3,2 5,2 8,l

315 400 7 9 13 18 25 36 57 89 140 230 360 0,57 0,89 I,4 2,3 3,6 5,7 8,9

d-00 500 8 10 15 20 27 40 63 97 155 250 400 0,63 0,97 1,55 2,5 4 6,3 9,7 ; 500 6302) 9 11 16 22 32 44 70 110 175' 280 440 0,7 I,1 I,75 2,8 4,4 7 11

630 8002) 10 13 18 25 36 50 80 125 200 320 500 0,8 I,25 2 3,2 5 8 12,5

800 10002) 11 15 21 28 40 56 90 140 230 360 560 0,9 I,4 2,3 3,6 5,6 9 14

1000 12502) 13 18 24 33 47 66 105 165 260 420 660 I,05 I,65 2,6 4,2 6,6 IO,5 16,5

1250 16002) 15 21 29 39 55 78 125 195 310 500 780 I,25 I,95 3,l 5 718 12,5 19,5

1600 20002) 18 25 35 46 65 ,92 150 230 370 600 920 I,5 2,3 3,7 6 9,2 15 23

2000 25002) 22 30 41 55 78 110 175 280 440 700 1100 1,75 2,8 4,4 7 11 17,5 28

2500 31502) 26 36 50 68 96 135 210 330 540 860 1350 2,l 3,3 5,4 86 13,5 21 33 - 1) Values for standard tolerance grades IT01 and IT0 for basic sizes less than or equal to 500 mm are given in annex A, table 5.

2) Values for standard tolerance grades IT1 to IT5 (incl.) for basic sizes over 500 mm are included for experimental use.

3) Standard tolerance grades IT14to IT18 (incl.) shall not be used for basic sizeslessthan or equal to 1 mm.

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Page 16: ISO 286 1 Limites y Ajustes

IS0 286-l : 1988 E)

Table 2 - Numerical values of the

Fundamental Basic size

I Upper deviation es mm -T- IT7 IT8

IT5 and IT6

All standard tolerance grades

t al) 1 bl) 1 c 1 cd d e ef h T i - 2701 -140 1 - 60 1 -34 - 20 - 270 1 -140 I - 70 I -46

61 IO - 2801 -150 I - 80 I -56 - 30

-40

+-I-+ - 25 -18

- 2901 -150 1 - 95 1 -50 - 32

f

- 6

- 10

- 13

- 16 I I I

I . I I

I I

+-+-I- 3001 -160 I -110 I - 65 -40

30 40 - 310 -170 -120 40 50 - 320 -180 -130

50 65 - 340 -190 -140

-80 -50 - 25

65 I 80 I- 3601 -200 I -150 I -100 -60

80 I loo I- 3801 -220 I -170 I 100 I 120 I- 414 -240 I -180 I -120 - 72 - 36

120 I 140 I -7i6-l -260 I -200 I ~~

140 I 160 I- 520 1 -280 1 -210 1 -145 - 85 -43 160 180 - 580 -310 - 230

180 200 -660-340 -240

200 I 225 I- 7401 -380 I -260 I -170

225 I 250 I- 827 -420 1 -280 1

250 I 280 I-zzl -480 I -300 I 280 I 315 I-105oL5401~3301 -190 -110

315 355 -1200 -600 -360

355 400 -1350 -680 -400

400 450 -1500 -760 -440

450 500 -1650 -840 -480

500 560

560 630

-210 -125 - 62

- 230 -135 -68

-260 -145 - 76

630 710

710 800

800 900

900 1000

- 290 -160 -80 -24

- 320 -170 - 86 I -26

1000 I 1120 I I I I 1 120 1 250

1250 1400

1400 1600

1600 1800

1800 2000

-350 -195

-220

- 98 1 -28

-390

-430 -240

2000 2240

2240 2500 -480 -260

2500 2800

2800 3 150 - 520 - 290

-32

c -34

-4 -6

-6

-8

-15

-18

-21

-16 -26

-18 -28

-20 -32 0

1) Fundamental deviations a and b shall not be used for basic sizes less than or equal to 1 mm.

2) For tolerance classes js7 to jsll, if the IT value number, n, is an odd number, this may be rounded to the even number immediately below, so that the ITn resulting deviations, i.e. + - , 2

can be expressed in whole micrometres.

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Page 17: ISO 286 1 Limites y Ajustes

IS0 286-1 : 1988 E)

fundamental deviations of shafts

Fundamental deviation values in micrometres

deviation values

Lower deviation ei

IT4 Up to IT3 to (incl.) and IT7 above IT7

All standard tolerarke grades

n P r S t U V. X Y Z za _ zb zc

+ 4 + 6 +I0 + 14 + 18 + 20 + 26 + 32 + 40 + 60

+ 8 + 12 + 15 + 19 + 23 + 28 + 35 + 42 + 50 + 80

+ 10 + 15 + 19 + 23 + 28 +34 + 42 + 52 + 67 + 97

+40 + 50 + 64 + 90 + 130 + 12 + 18 + 23 + 28 + 33

+ 39 + 45 + 60 + 77 + 108 + 150

+ 41 +47 +54 + 63 + 73 + 98 + 136 + 188 +I5 +22 +28 + 357

+ 41 + 48 +55 +64 + 75 + 88 + 118 + 160 + 218

+ 48 + 60 -1-68 +80 + 94 + 112 + 148 + 200 + 274 +17 +26 +34 + 43

+ 54 + 70 + 81 + 97 + 114 + 136 + 180 + 242 + 325

+41 + 53+66+ 87 +102 +122 + 144 + 172 + 226 + 300 + 405 + 20 + 32

+43 + 59 + 75 + 102 +I20 +I46 + 174 + 210 + 274 + 360 + 480

+51 + 71 + 91 + 124 +I46 +I78 + 214 + 258 + 335 + 445 + 585 + 23 + 37

+54 + 79 + 104 + 144 +I72 +210 + 254 + 310 + 400 + 525 + 690

+63 + 92 + 122 + 170 +202 +248 1 + 300 + 365 + 470 + 620 + 800

+ 27 + 43 + 65 + 100 + 134 + 190 +228 +280 + 340 + 415 + 535 + 700 + 900

+ 68 + 108 + 146 + 210 +252 +310 + 380 + 465 + 600 + 780 +I 000

+ 77 + 122 + 166 + 236 +284 +350 + 425 + 520 + 670 + 880 +1150

+ 31 + 50 + 80 + 130 + 180 + 258 +310 +385 + 470 + 575 + 740 + 960 +I 250

+ 84 + 140 + 196 + 284 +340 +425 + 520 + 640 + 820 +I 050 +l 350

+ 94 + 158 + 218 + 315 +385 +475 + 580 + 710 + 920 +l 200 +I 550 + 34 + 56

+ 98 + 170 + 240 + 350 +425 +525 + 650 ‘+ 790 +I000 +I300 +I700

+I08 + 190 + 268 + 390 +475 +590 + 730 + 9o(l +I‘150 +I 500 +I 900 + 37 + 62 r

+114 + 208 + 294 + 435 +530 +660 + 820 +I000 +I300 +I650 +2100

+126 + 232 + 330 + 490 +595 +740 + 920 +I100 +1450 +I850 +2400 +40 +68,

+I32 + 252 + 360 + 540 +660 +820 +I000 +1250 +1600 +2100 +2600

+I50 + 280 + 400 + 600 +44 -1-78

+I55 + 310 + 450 + 660

+I75 + 340 + 500 + 740 +50 +88

+I85 + 380 + 560 + 840

+210 + 430 + 620 + 940 +56 +lcw

+220 + 470 + 680 +l 050

+250 + 520 + 780 +I 150 + 66 +I20

+260 + 580 + 840 +I300

+300 + 640 + 960 +I450 +78 +140-

+330 + 720 +I050 +I600

+370 + 820 +1200 +I850 + 92 +I70

+400 + 920 +I350 +2000

+440 +I000 +I500 +2300 +I10 +I95

+460 +I100 +I650 +2500

+550 +I250 +I900 +2900 +I35 +240 '

+580 +I400 +2100 +3200

t k

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

m

0 +2

+4

+6

+7

+8

+9

+I1

+13

+I5

-+-I7

+20

+21

+23

0 +26

0 +30

+34

+40

+48

+58

+68

+76

0

13

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Page 18: ISO 286 1 Limites y Ajustes

Is0 286-l : 1988 E)

. Table 3 - Numerical values of the

Basic size

mm

1 Upto

Lower deviation EI

All standard tolerance grades

Icluding( ~1) 1~1) I c ICDI D I E IEFI F IFGIG /HI JS2)

- 3'15) + 270 +140 + 60 +34 + 20 + 14 +lO + 6 +4 + 2 0

3 6 + 270 +140 + 70 +46 + 30 + 20 +'4 + '0 +6 + 4 0

6 10 + 280 +'w + 80 +56 + 40 + 25 +18 + '3 +8 + 5 0

10 14 .+ 290 +150 +95 +50 +32 + 16 +60

14 18

18 24 + 300 +160 +llO +65 +40 +20 +7 0

24 30

30 40 + 310 +170 +120 +80 +50

-- - -

40 50 + 320 +180 +130 I + 25 I I’ gl”l 50 65 + 340 +190 +140

65 80 + 360 +200 +150

80 100 + 380 +220 +170 +120 + 72 +36 +12 0

100 120 + 410 +240 +180

120 140 + 460 +260 +200

140 160 + 520 +280 +210 +145 +85 +43 +14 0

160 180 + 580 +310 +230

180 200 + 660 +340 +240

200 225 + 740 +380 +260 +170 +lOO +50 +15 0

225 250 + 820 +420 +280

250 280 + 920 +480 +300 +190 +llO -- _- -

280 315 +1050 +540 +330 I’“1 I”‘1 o I 315 355 +1200 +600 +360 +210 +125 + 62 0 355 400 +1350 +680 +400

1 1 1 1 / 1+181 1

400 450 +1500 +760 +440

450 500 +1650 +84O +480 /+23OI+l35I ' . M' '-nA'A' I’“1 I’“1 “I

500 560 +260 +145 I I

. + -A /D I 560 630 I 1 ,,ILl I’“1 “I I

630 710 +290 +160 +80 +24 0

710 800

800 900 +320 +170 +86 +26 0

900 1000

f+ii+s-l I I I l+3501+‘g51 I+981 I+28101 l+mlol

1250 1400 +390 +220

I - _- I l--l-l 1400 1600 I +-l-lo I 1600 1800

+430 +240 +120 +32 0 1800 2000

2000 2240 +480 +260 +130 +34 0

2240 2500

2500 2800 +520 +290 I

A m- +1+3 I

a- a

I 2800 13150 I I I I I I

Fundamental deviation

up to IT6 IT7 IT8 IT8 Above ulFio Above

(incl.) IT8 (incl. 1 IT8

J KS) M3)4)

+2+4+6 0 0 l-2 I-21 I I + 5 + 6 +lO -'+A l-4+41 -4 1

+ 5 + 8 +12 -‘+A -6+A -6

+ 6 +lO +15 -‘+A -7+-A -7

+ 8 +12 +20 -2+A -8+A -8

+lO +14 +24 -2+A -9+A -9

+13 +18 +28 -2+A -11 +A -11

+16 +22 +34 -3+A -13+A -13

I I I I I I I +18 +26 +41 1 1 I-3+4 1 l-15+41 -15 1

+22 +30 -1-47 -4+A

+25 +36 +55 -4+A

+29 +39 +60 -4+A

+33 +43 +66 -5+A

-17+A -17

-rn+A -20

-21 +A -21

-23+A -23 I

0 -26

0 -30

I II01 I I loI

0 -48

0 -58

I I loI -68

0 -76

1) Fundamental deviations A and B shall not be used for basic sizes less than or equal to 1 mm.

2) For tolerance classes JS7 to JSll, if the IT value number, n, is an odd number, this may be rounded to the even number immediately below, so that the ITn

resulting deviations, i.e. + -, 2

can be expressed in whole micrometres.

3) For determining the values K, M and N for standard tolerance grades up to IT8 (incl.) and deviations P to ZC for standard tolerance grades up to IT7 (incl.), take the d values from the columns on the right.

14

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Page 19: ISO 286 1 Limites y Ajustes

ISO286-1 :1988 E)

fundamental deviations of holes

Fundamental deviation values in micrometres

values

Upper deviation ES I Values for A

u/Go (incl.)

Standard tolerance grades above IT7 I

Standard tolerance grades

I N3)5) PtoZC31 lulvlx VI Z 1 ZA 1 ZB 1 ZC IT3 IT6 IT7 IT4

0

',5

1,5

IT5

0

1

2 6

ITE -

0

6 -7

9

8

6 16

4 6 7 15 23

4 6 9 17 26

m

, - 6 - 10 - 14 - 18 -20 - 26- 32- 40- 600 - 12 - 15 - 19 - 23 -28 - 35- 42- 50- 801

- 15 -19 - 23 - 28 -34 - 42 - 52 67 97 1 - -

- 18 -40 - 50 - 64 - 90 - 130

- 23 - 28 - 33 -39

1 -45 - 60- 77-108-150

- -22 -28 35. 41 -47 -54 - 63 - 73 - 98 136 188 - - -

- 41 ',5 - 48 - 55 - 64 - 75 - 88 - 118 160 218 - - - 48 - 60 - 68 - 80 - 94 - 112 - -26 -34 43.r 148 200 274 - - -

- 54 - 70 -81 - 97 - 114 - 136 - 180 242 325 ',5

- -

- 32 - 4' - 53 - 66 - 87 -102 -122 - 144 - 172 - 226 300 405 - - - 43 - 59 - 75

2 - '02 -120 -146 - 174 - 210 - 274 360 480 - -

- 5' - 7' - 9' - 124 -146 -178 - 214 - 258 - - 37

335 445 585 - - '

- 54 - 79 - '04 - 144 2

-172 -210 - 254 - 310 - 400 525 690 - -

-4 -4

-8+A 0

-lO+A 0

-12+A 0

-15+A 0

-17+A 0

-2O+A 0

-23+A 0

-27+A 0

-3l+A 0

-34+A 0

-37+A 0

-4O+A 0

I--631- 921~ml-170 -202 -248 -300-3651-470-620-80(j- -65 - 'o(j - '34 - '90 -228 -280 - 340 - 415l- 535 - - 700 9al 3 -68 - '08 - '46 - 210 -252 -310 - 380 - 465l- 600 - 780 -loo0 -77 - '22 - '66 - 236 -284 -350 - 425 - 52Ol- 670 - 880 -1'50 -80 - '30 - '80 - 258 -310 -385 - 470 - 740 - 960 -1250 575I- 3 -84 - '40 - 1% - 284 -340 -425 - 520 - 640 - 820 -1050 -1350

-43

-50

- - - - - - -56 -94 158 218 315 -385 -475 580 710 9m -1 mo -1 !%o -98 - '70

4 - 240 - 350 -425 -525 - 650 - 790 -‘IO00 -1300 -1700

- 78 -150 -280-400-600

-155 - 310 - 450 - 660

-88 -175 - 340 - 500 - 740

-185-380-560-840

-100 -210 - 430 - 620 - 940

-220 - 470 - 680 -1050

-120 -250 - 520 - 780 -1150

-260 - 580 - 840 -1300

-140 -300-640-960-1450

-170 -370 - 820 -1200 -1850

-400 - 920 -1350 -2000

-195 -440 -1000 -1500 -2300

-460 -1100 -1650 -2500

1 -50

-56

-66

- 78

- 92

t

-110

-135 -240 -550 -1250 -1900 -2900

-580 -1400 -2100 -3200

3) (concl. ) Examples :

K7 in the range 18 to 30 mm : A = 8 pm, therefore ES = -2 + 8 = + 6 pm

S6 in the range 18 to 30 mm : A = 4 pm, therefore ES = -35 + 4 = - 31 pm

4) Special cases: for tolerance class M6 in the range from 250 to 315 mm, ES = -9 pm (instead of - 11 pm).

5) Fundamental deviation N for standard tolerance grades above IT8 shall not be used for basic sizes less than or equal to 1 mm.

15

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Page 20: ISO 286 1 Limites y Ajustes

IS0 286-l : 1988 (E)

10 Bibliography

The following international Standards on tolerancing and tolerance systems will be useful with regard to the application of this part of IS0 286:

IS0 406, Technical drawings - Linear and angular toler- ances - lndica tiuns on drawings.

IS0 1829, Selection of tolerance zones for general purposes.

IS0 1947, System of cone tolerances for conical workpieces from C = 1 : 3 to 1 : 500 and lengths from 6 to 630 mm.

IS0 2692, Maximum

Technical drawings - material principle. 1

Geometrical tolerancing -

IS0 2768-1, General tolerances for dimensions without tolerance indications - fart 1: Tolerances for linear and angular dimensions. 1 )

IS0 5166, System of cone fits for cones from C = 1 : 3 to 1 : 500, lengths from 6 to 630 mm and diameters up to 500 mm.

1) At present at the stage of draft. (Revision, in part, of IS0 2768 : 1973.)

16

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Page 21: ISO 286 1 Limites y Ajustes

IS0 286-l : 1988 E)

Annex A

A.1 General A.2 Basic size steps

Bases of the IS0 system of limits and fits (This annex forms an integral part of the standard.)

This annex gives the bases of the IS0 system of limits and fits. The data are given primarily so that values can be calculated for fundamental deviations, which may be required in very special circumstances and which are not given in the tables, and also so that a more complete understanding of the system is provided.

It is once more emphasized that the tabulated values in either this part of IS0 286 or IS0 286-2, for standard tolerances and fundamental deviations, are definitive, and shall be used when applying the system.

For convenience, the standard tolerances and fundamental deviations are not calculated individually for each separate basic size, but for steps of the basic size as given in table 4. These steps are grouped into main steps and intermediate steps. The intermediate steps are only used in certain cases for calculating standard tolerances and fundamental deviations a to c and r to zc for shafts, and A to C and R to ZC for holes.

The values of the standard tolerances and fundamental devi- ations for each basic size step are calculated from the

Table 4 - Basic size steps

Values in millimetres Values in millimetres

a) Basic sires up to 500 mm (incl.1

Main steps I Intermediate steps 1) I Main steps I Intermediate steps2)

Above Up to and including Above

I Up to and including

- 3

6

*n IV

40 IO

3

6

10

18

30

No subdivision

10 14 14 18

18 24 24 30

30 50 30 40

40 50

50 80 50 65 65 80

80 120 80 100 100 120 ~~ 120 140

120 180 140 160 160 180

180 200 180 250 200 225

225 250

250 315 250 280 280 315

315 400 315 355 355

400 500 450 450 500

b) Basic sizes above 500 mm up to 3 150 mm (incl.1

Above Up to and including Above Up to and

including

500 630 500 560 560 630

630 800 630 710. 710 800

800 1000 800 900 900 1000

1000 1250 1000 1 120 I im 1 250

1 250 1600 1250 1400 1400 1600

1600 2000 1600 1800 1800 2000

I 2000 I 2500 I 2000 2240 I 2500 2240

I ~~

2500 3 150 2500 2800 2800 3 150

1) These are used, in certain cases, for deviations a to c and r to zc or A to C and R to ZC (see tables 2 and 3).

2) These are used for the deviations r to u and R to U (see tables 2 and 3).

17

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Page 22: ISO 286 1 Limites y Ajustes

IS0 286-l : 1988 E)

geometrical mean (D) of the extreme sizes (0, and 02) of that step, as follows:

D= J&XT&

For the first basic size step (less than or equal to 3 mm), the geometrical mean, D, according to convention, is taken between the sizes 1 and 3 mm, therefore D = 1,732 mm.

A.3 Standard tolerance grades

A.3.1 Gerieral

The IS0 system of limits and fits provides for 20 standard tolerance grades designated ITOI, ITO, ITl, . . . , IT18 in the size range from. 0 up to 500 mm (incl.), and 18 standard toCerance grades .& the‘size range from 500 mm up to 3 150 mm (i&l.), designated tT1 to IT18.

As stated in the “Foreword”, the IS0 system is derived from ISA Bulletin 25, which only covered basic sizes up to 500 mm, and was mainly based on practical experience in industry. The systems was not developed from a coherent mathematical base, dnd ti’ence there are .discontinuities in the system and differing formulae for the deviation of IT grades up to 500 mm. \ , : 8 The-values’for standard tolerances for basic sizes from 500 mm up to 3 l’@ tim (incl.) were subsequently developed for experi- . mental purposes; and since they have proved acceptable to industry they are now given as a part of the IS0 system. -

It should be noted that values for standard tolerances in grades IT0 and IT01 are not given in the main body of the standard because they have little use in practice; however, values for these are given in table 5.

Table 5 - Numerical values for standard tolerances where D is the geometric mean of the basic size step in in grades IT01 and IT0 millimetres (see clause A.2).

Basic size Standard tolerance grades

mm IT01 IT0

Ab.ove Up to and Tolerances including w

. ..- 3 Ot3 Of5 I.3 6 014 Or6 6 10 Of4 016

10 18 0,5 Or8 18 30 016 1 30 50 Or6 1

50 80 W3 12 80 120 1 115

120 180 12 2 180 250 2 3 250 315 2,5 4 315 400 3' 5 400 500 4 6

This formula was empirically derived, being based on various national practices and on the premise that, for the same manu- facturing process, the relationship between the magnitude of the manufacturing errors and the basic size approximates a parabolic function.

The values of the standard tolerances are calculated in terms of the standard tolerance factor, i, as shown in table 7.

It should be noted that from IT6 upwards, the standard tolerances are multiplied by a factor of 10 at each fifth step. This rule applies to all standard tolerances and may be used to extrapolate values for IT grades above IT18.

Example :

IT20 = IT15 x IO = 64Oi x 10 = 64OOi

NOTE - The above rule applies except for IT6 in the basic size range from 3 to 6 mm (incl.).

A.3.2 Derivation of standard tolerances (IT) for basic sizes up to and including 500 mm

A.3.2.1 Standard tolerance grades IT01 to IT4

The values of standard tolerances in grades ITOl, IT0 and IT1 are calculated from the formulae given in table 6. It should be noted that no formulae are given for grades IT2, IT3 and IT4. The values for tolerances in these grades have been approxi- mately scaled in geometrical progression between the values for IT1 and lT5.

Table 6 - Formulae for standard tolerances in grades ITOI, IT0 and ITI for basic sizes up to and

including 500 mm

Values in micrometres

Standard tolerance grade

Formula for calculation where D is the geometric mean

of the basic size in millimetres

IT01 ‘1 0,3 + 0,008D

ITOI) ’ 0,5 + 0,012.D

IT1 0,8 + 0,OZOD

1) See the “Foreword” and A.3.1.

A.3.2.2 Standard tolerance grades IT5 to IT18

The values for standard tolerances in grades IT5 to IT18 for basic sizes up to and including 500 mm are determined as a function of the standard tolerance factor, i.

The standard tolerance factor, i, in micrometres, is calculated from the following formula:

i= 0,45 m + 0,OOID

18

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Page 23: ISO 286 1 Limites y Ajustes

ISO286-1:1988 (I3

Table 7 - Formulae for standard tolerances in grades ITl to IT18

Basic size

mm

up to Above and in-

cluding

I- 1) See A.3.2.1.

Standard tolerance grades

ITll) IT211 IT311 IT41) IT5 IT6 IT7 lT8 I-j=10 [J-II lTl2 lT13 lT14 lTl5 ln8 lT17 IT18 \

Formulae for standard tolerances (Results in micrometres)

- - - - 7i 1Oi 16i 25i 40i 64i 1OOi 160i 250i 400i 640i 1OOOi 16OOi 2500i

21 2,71 3,71 51 71 101 161 251 401 641 1OOI 1601 2501 4OOr 6401 looor imr 25mr .

A.3.3 Derivation of standard tolerances (IT) for basic sizes from 500 mm up to and including 3150mm

The values for standard tolerances in grades IT1 to IT18 are determined as a function of the standard tolerance factor, I.

The standard tolerance factor, I, in micrometres, is calculated from the following formula:

I = 0,004D + 2,l

where D is the geometric mean of the basic size step in millimetres (see clause A.2).

The values of the standard tolerances are calculated in terms of the standard tolerance factor, I, as shown in table 7.

It should be noted that from IT6 upwards, the standard tolerances are multiplied by a factor of 10 at each fifth step. This rule applies to all standard tolerances and may be used to extrapolate values for IT grades above lT18.

Example :

IT20 = IT15 x 10 = 6401 x 10 = 64001

NOTES

1 The formulae for standard tolerances in grades IT1 to IT5 are given on a provisional basis only. (These did not appear in ISO/R 286 : 1962.)

2 Although the formulae for i and I vary, continuity of progression is 2 Values for standard tolerances in grades IT1 to IT18 are given in assured for the transition range. table 1 and for IT0 and IT01 in table 5.

A.3.4 Rounding of values for standard tolerances

For each basic size step, the values obtained from the formulae given in A.3.2 and A.3.3, for standard tolerances in grades up to and including IT1 1, are rounded off in accordance with the rules given in table 8.

The calculated values of standard tolerances in grades above IT1 1 do not require rounding off because they are derived from values of tolerance grades IT7 to IT1 1, which have already been rounded off.

Table 8 - Rounding for IT values up to and including standard tolerance grade IT11

Rounding values in micrometres

Basic size Calculated values

obtained from the formulae Above given in A.3.2 and A.3.3 up to 500mm

500mm up to (incl.) 315Omm

Up to and (incl.)

Above including Rounding in multiples of

0 60 1 1

60 100 1 2

100 200 5 5

200 500 10 10 500 1000 - 20

1000 zoo0 - 50

zoo0 5ooo - 100

5ooo loo00 - 200

10 ooo 20 000 - 500 20 ooo 5oooo - 1000

NOTES

1 For the small values in particular, it has sometimes been necessary to depart from these rules, and, in some instances, even from the application of the formulae given in A.3.2 and A.3.3 in order to ensure better scaling. Therefore the values given for the standard tolerances in tables 1 and 5, as appropriate, shall be used in preference to calculated values when applying the IS0 system.

A.4 Derivation of fundamental deviations

A.4.1 Fundamental deviations for shafts

The fundamental deviations for shafts are calculated from the formulae given in table 9.

The fundamental deviation given by the formulae in table 9 is, in principle, that corresponding to the limits closest to the zero line, i.e. the upper deviation for shafts a to h and the lower deviation for shafts k to zc.

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Page 24: ISO 286 1 Limites y Ajustes

IS0 286-l : 1988 E)

Except for shafts j and js, for which, strictly speaking, there is no fundamental deviation, the value of the deviation is inde- pendent of the selected grade of tolerance (even if the formula includes a term involving ITn!.

A.4.2 Fundamental deviations for holes

The fundamental deviations for holes are calculated from the formulae given in table 9 and, therefore, the limit correspond- ing to the fundamental deviation for a hole is exactly sym- metrical, in relation to the zero line, to the limit corresponding to the fundamental deviation for a shaft with the same letter.

This rule applies to all fundamental deviations except for the following:

a) deviation N, for standard tolerance grades IT9 to IT16 in basic sizes above 3 mm up to 500 mm (incl.), for which the fundamental deviation is zero ;

b)- shaft or ho& basis fits, for basic sizes above 3 up to 500 mm (incl.), im!which a hole of a given standard tolerance grade is associated with a shaft of the next finer grade (e.g. H7/p6 and P7/h6), and which are required to have exactly the same clearance or interferences, see figure 20.

In these cases, the fundamental deviation, as calculated, is , adjusted ‘by algebraically adding the value of ,4 as follows :

Es = ES (as calculated) + d

: where d is the difference ITn - IT(n - 1) between the .I standard tolerance, for the basic size step in the given , grade, and that ih. the next finer grade.

v Example :

For P7 in the basic size range from 18 up to 30 mm:

A = IT7 - IT6 = 21 - 13 = 8 pm

NOTE - The rule given in b) above is only applicable for basic sizes bier 3 mm for fundamental deviations K, M and N in standard tolera’nce grades up to’and including IT8, and deviations P to ZC in qtandard tolerance grades up to and including IT7.

Hole-basis fit Shaft-basis fit

(ei) + ITbl)= (ES) + ITn

ITh-I)

Figure 20 - Diagrammatic representation of the rule given in A.4.2b)

The fundamental deviation given by the formulae in table 9 is, in principle, that corresponding to the limits closest to the zero line, i.e. the lower deviation for holes A to H and the upper deviation for holes K to ZC.

Except for holes J and JS, for which, strictly speaking, there is no fundamental deviation, the value of the deviation is inde- pendent of the selected grade of tolerance (even if the formula includes a term involving ITn).

A.4.3 Rounding of values for fundamental deviations

For each basic size step, the values obtained from the formulae given in table 9 are rounded off in accordance with the rules given in table 10. *

20

© ISO 2009 - This is a single-user license for personal use only.All other uses prohibited.

Page 25: ISO 286 1 Limites y Ajustes

60286-l :I988 (E)

Table 9 - Formulae for fundamental deviations for shafts and holes

Basic size mm I Basic size

mm Shafts Holes Formulael)

where D is the geometric mean of the basic size

in millimetres

Sign (negative

posYtLe)

Funda- mental

deviation

a - es +--I EI 1 + 1 A I-++& 1

120

120

500

7i#+--l b I - =: 140 + 0,850 EI + B 1 160

= 1,8D 160 500

520 Of2 EI + C 0 40 II c I - I es 95 + 0,8D Geometric mean of the values for C, c and D, d

16D@44

11 Dot41

- 40 500

EI + CD 0 10

EI + D 0 3 150

EI + E 0 3 150

0 1 10 ) cd 1 - / es

0 1 3150 1 d 1 - 1 es

0 131501 e I - I es

0 / --- 10 1 ef / - 1 es EI + 1 EF--- Geometric mean of the values for E, e and F, f

0 131501 f 1 - 1 es 5,500#41 I El 1 + 1 F 1 0 1 3150

0 / 101 fg / - Geometric mean of the values for

I EI

F, f and G, g + 1 FG -I

0 I 3150 I g I - I es 2,5D(‘tN I EI I + I G I’ 0 I 3150

0 1 3150 1 h 1 No sign I es Deviation = 0 1 EI 1 No sign I H I 0 1~ ~Yi~

0 15001 i No formula2) I I I J 101 500

0 3 150 I is 1 “_ 1 2 I EI

I I

+ l70 I JS I 0,5 ITn 0 3 150

I c3 I -

- 0,6 G - ES K4) 0 5005)

Deviation = 0 No sign 3 150

IT7 - IT6 ES

0 - M4) .

0,024D + 12,6 500 3 150

0

500 5003)

3 150 k

+ H ei No sign

31 mm/ + j ei

0

500 500

3 150 n I I + ei Sk--j Es I - N4) ’

0 500

500 3 150

3zei--l Es I - I p4) II 0

500

0

500 P + ei

3 150

3 150 r + ei Geometric mean of the values for P, p and S, s

_ / R4) 1 --/,,

7ik-E-I s I + I ei ++kzi+l Es I - / 9) /+-zE& 24 131501 t 1 + 1 ei IT7 + 0,630 1 ES 1 - 1 T4) 1 24 1 3150

0 1 3150 I u 1 + 1 ei IT7 + D I ES I - I u4) 1 0 1 3150

14 I 500 I v I + I ei IT7 + 1,250 1 ES 1 - 1 v4) 1 14 1 500

01 5001 x I + I ei IT7 + 1,6D I ES I - I x4) 1 0 I 500 181 5001 y 1 + 1 ei IT7 + W I ES 1 - 1 Y4) 1 18 1 500-

0 I m--1-- z I + ei IT7 + 2,5D I Es 1 - 1 24) 1 0 -1 0 I 500 1 za I + I ei IT8 + 3,15D 1 ES 1 - 1 ZA4) 1 0 I 500 0 I 500 I zb I + I ei IT9 + 40 1 ES i - I ZB4) I 0 I 500

0 I 500 I zc I + I ei IT10 + 5D I ES I - I zc4) 1 0 1 500 1) Fundamental deviations (i.e. results from formulae) in micrometres.

2) Values only given in tables 2 and 3.

3) Formula only applies to grades IT4 to IT7 inclusively; fundamental deviation k for all other basic sizes and all other IT grades = 0.

4) Special rule applies [see A.4.2b)l.

5) Formula only applies to grades up to IT8 inclusively ; fundamental deviation K for all other basic sizes and all other IT grades = 0.

21

© ISO 2009 - This is a single-user license for personal use only.All other uses prohibited.

Page 26: ISO 286 1 Limites y Ajustes

IS0 286-I :,I988 E)

Table 10 - Rounding for fundamental deviations

Rounding values in micrometres

Basic size

Calculated values obtained from the formulae given in table 9

w

Above Up to and including

5 45 45 60 60 100

100 200 200 300 300 500 500 560 560,. 600 600 800 800 1000

:l ooo 2000 2 ooo 5ooo

. . . . . .

20 x 10n 50 x 10n 50 x 10n loo x 10n

loo x 10n 200 x 10n

up to 500 mm (incl.1 above 500 mm up to 3 150 mm (incl.)

Fundamental deviations

a to g k to zc d to u A to G K to ZC D to U

Rounding in multiples of

1 1 1 2 1 1 5 1 2 5 2 5

10 2 10 .lO 5 10 10 5 20 20 5 20 20 10 20 * 20 20 20 50 50 50

100 100 I

. . .

1 x 10n 2 x 10n 5 x 10n

© ISO 2009 - This is a single-user license for personal use only.All other uses prohibited.

Page 27: ISO 286 1 Limites y Ajustes

IS0 286-1 : 1988 (E)

Annex B

Examples of the use of IS0 286-l (This annex forms an integral part of the standard.)

B.1 General

This annex gives examples in the use of the IS0 system of limits and fits, in determining the limits for shafts and holes.

The numerical values of the upper and lower deviations for the more generally used basic size steps, fundamental deviations and tolerance grades have been calculated and are tabulated in IS0 286-2.

In special cases, not covered by IS0 286-2, the appropriate upper and lower deviations, and hence the limits of size, can be calculated from the data given in tables 1 to 3, and tables 4 to 6 in annex A in this part of IS0 286.

B.2 Review of special features

A summary of the features and factors which shall be taken into consideration when using this part of IS0 286 to derive upper and lower deviations for special cases is given below:

- shafts and holes a, A, b, B are provided only for basic sizes greater than 1 mm;

- shafts j8 are provided only for basic sizes less than or equal to 3 mm;

- holes K in tolerance grades above IT8 are provided only for basic sizes less than or equal to 3 mm;

- shafts and holes t, T, v, V and y, Y are only provided for basic sizes greater than 24 mm, 14 mm and 18 mm, respectively (for smaller basic sizes, the deviations are prac- tically the same as those of the adjacent tolerance grades) ;

- tolerance grades IT14 to IT18 are only provided for basic sizes greater than 1 mm;

- holes N of tolerance grades above IT8 are only provided for basic sizes greater than 1 mm.

.B.3 Examples

8.3.1 Determining the limits of size for a shaft 0 4og11

Basic size step : 30 to 50 mm (from table 4)

Standard tolerance = 160 pm (from table 1)

Fundamental deviation = -9 pm (from table 2)

Upper deviation = fundamental deviation = -9 pm

Lower deviation = fundamentaJ deviation - tolerance = -9 -16Opm= -169pm rI

Limits of size:

Maximum = 40 - 0,009 = 39,991 mm

Minimum = 40 - 0,169 = 39,831 mm

B.3.2 Determining the limits of size for a hole 0 13ON4

Basic size step : 120 to 180 mm (from table 4)

Standard tolerance = 12 vrn (from table 1)

Fundamental deviation = -27 + d pm (from table 3)

Value of d = 4 pm (from table 3)

Upper deviation = fundamental deviation = -27 + 4 = -23 pm

Lower deviation = fundamental deviation - tolerance = -23 - 12 pm = -35 pm

Limits of size:

Maximum = 130 - 0,023 = 129,977 mm

Minimum = 130 - 0,035 = 129,965 mm

23 © ISO 2009 - This is a single-user license for personal use only.All other uses prohibited.

Page 28: ISO 286 1 Limites y Ajustes

Is0 286-I : 1988 (El

Annex C

Equivalent terms (This annex does not form an integral part of the standard.)

C.1 General

This annex establishes a list of terms used in IS0 286 (and in other International Standards on tolerances).

NOTE - In addition to terms used in the three official IS0 languages (English, French and Russian), the equivalent terms in German, Spanish, Italian, Swedish and Japanese are also given. These have been included at the request of Technical Committee ISO/TC 3 and are published under the responsibility of the member bodies for Germany, F.R. (DIN), Spain (AENOR), Italy (UNI), Sweden (SIS) and Japan (JISC).

C.2 Notes on, presentation

The numerals 01 to 90 give the alphabetical order for the first language (i.e. English) only (for reference).

The column “Reference clause” refers to the important place) in this part of IS0 286.

clause, sub-clause, etc. in the term is

The words given in “parentheses” indicate that the part of the term placed between them may be omitted.

(or the most

Synonyms have been separated some of the preceding words.

by a semi-colon. Square brackets indicate that the word(s) placed between them may replace all or

Short explanations as regards the term have been presented in note form.

C.3 Recommendations for the user

It is recommended that the users, for convenience, accordingly on the left-hand side of the table.

re-arrange vocabulary alphabetically in their own languages and number

24 © ISO 2009 - This is a single-user license for personal use only.All other uses prohibited.

Page 29: ISO 286 1 Limites y Ajustes

w

bfer

- en

ce

No.

01

02

03

04

05

06

07

08

09

10

11

12

13

14

15

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2

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1

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4.10

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4.7

5.3.

1.2

See

No.

64

© ISO 2009 - This is a single-user license for personal use only.All other uses prohibited.

Page 30: ISO 286 1 Limites y Ajustes

Ref

er-

ence

N

o.

16

17

fit

fit c

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4.10

- - 4.10

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- 5.2.

3

4.6.

2

4.7.

1

4.2

4.9 4.10

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See

No.

26

5.1.

1 an

d ta

ble

1

5 0 iill

L . . ‘gg / E

© ISO 2009 - This is a single-user license for personal use only.All other uses prohibited.

Page 31: ISO 286 1 Limites y Ajustes

Y

Ref

er-

ence

N

o.

31

32

33

34

35

36

37

38

39

40

41

42

43

44

Engl

ish

Fren

ch

IS0

fund

amen

- se

rie d

e to

I&

tal

[sta

ndar

d]

ranc

e in

tern

atio

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lera

nce

serie

s na

le I

S0

IS0

“hol

e-

syst

eme

d’aj

uste

- ba

sis”

sy

stem

m

ents

IS

0 ((3

ale

- of

fits

sa

ge n

orm

al )

)

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“sha

ft-

syst

eme

d’aj

uste

- ba

sis”

sy

stem

m

ents

IS

0 ((a

of

fits

ar

bre

norm

al )

)

leas

t m

ater

ial

limit

( LM

L)

limit

devi

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lim

ites

limits

of

fit

limits

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size

line

of z

ero

de-

ligne

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cart

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vi

atio

n;

zero

lin

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extre

me

of f

it

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n &a

rt in

ferie

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size

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fit s

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ear-

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mum

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men

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plu

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rge

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je

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nzm

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edid

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imite

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men

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MH

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;

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s Ab

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ull ;

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m

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ti IS

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stem

“h

alet

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oro

bas

e”

has”

scos

tam

enti

limiti

acco

ppia

men

ti lim

iti

linea

del

lo z

ero

nollin

je

acco

ppia

men

to

limite

il p

iti l

argo

[s

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tol

scos

tam

ento

in

fe-

riore

conn

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giuo

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mas

sim

o

I .I

Swed

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Japa

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min

. m

ater

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grtin

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stop

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is

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wik

else

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clau

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4.11

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- - 4.3.

3

4.5

and

figur

e 13

- 4.6.

1.2

- - - 4.8.

2

© ISO 2009 - This is a single-user license for personal use only.All other uses prohibited.

Page 32: ISO 286 1 Limites y Ajustes

Ref

er-

ence

N

o.

45

46

47

48

49

50

51

52

53

54

56

56

57

58

59

Engl

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Fren

ch

Rus

sian

G

erm

an

max

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in

terfe

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rrage

max

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H

aM6O

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ag

j H

aTFI

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rU3t

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3

max

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(MM

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dim

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du

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de

M

yMa M

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atie

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(MM

L)

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eria

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3 m

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s Sp

iel ;

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itten

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ter-

fere

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ittle

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ii be

r- m

a13 ;

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f si

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mea

n si

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moy

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Me

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ML;

; pa

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min

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u m

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ti pa

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3

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de-

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ze ;

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c si

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Gre

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chun

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n ;

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plug

[ =

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[ = a

rbre

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nM6p

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[ = B

an1

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n [ =

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rt po

sitif

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n bH

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giuo

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ce

clau

se

4.3.

3.1

4.12

- - - - 4.8.

1

4.9.

1

4.3.

3.2

Figu

re 1

3

- Figu

re 1

3

G

0 I#

L _ *

. . ma

Q

iii

1)

Equi

vale

nt

to “

limit

devi

atio

ns”.

© ISO 2009 - This is a single-user license for personal use only.All other uses prohibited.

Page 33: ISO 286 1 Limites y Ajustes

Ref

er-

ence

N

o.

60

rang

e [s

tep]

of

basi

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size

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rela

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61

62

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te

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(dire

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67

slee

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= h

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Ger

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men

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indi

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dim

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senz

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dica

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(i, I

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[ = f

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no

min

ales

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ranz

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ati-

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di d

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oni

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ida

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ausi

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i- ca

men

te

esat

to

di

rifer

imen

to

I aju

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con

m

inim

0 ju

ego

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men

to

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il p

iti, s

tretto

Swed

ish

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nese

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den

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(96

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kt

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haI

]

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t ii,

I)

stat

istis

k to

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ns

- -

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Page 34: ISO 286 1 Limites y Ajustes

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© ISO 2009 - This is a single-user license for personal use only.All other uses prohibited.

Page 35: ISO 286 1 Limites y Ajustes

This page intentionally leff blank

© ISO 2009 - This is a single-user license for personal use only.All other uses prohibited.

Page 36: ISO 286 1 Limites y Ajustes

Is0 286-l : 1988 E)

UDC 621.753X2

Descriptors : dimensional tolerances, fits, fundamental tolerances, definitions’ symbols, designation’ schematic representation’ dimensions.

Price based on 30 pages

© ISO 2009 - This is a single-user license for personal use only.All other uses prohibited.