ISO 10303-111:2007
(Main)Industrial automation systems and integration — Product data representation and exchange — Part 111: Integrated application resource : Elements for the procedural modelling of solid shapes
Industrial automation systems and integration — Product data representation and exchange — Part 111: Integrated application resource : Elements for the procedural modelling of solid shapes
ISO 10303-111:2007 represents shape elements available in modern CAD systems in a manner suitable for use in procedural or construction history modelling.
Systèmes d'automatisation industrielle et intégration — Représentation et échange de données de produits — Partie 111: Ressources d'application intégrée: Éléments pour la modélisation procédurale des formes solides
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INTERNATIONAL ISO
STANDARD 10303-111
First edition
2007-05-15
Industrial automation systems and
integration — Product data
representation and exchange —
Part 111:
Integrated application resource: Elements
for the procedural modelling of solid
shapes
Systèmes d'automatisation industrielle et intégration — Représentation
et échange de données de produits —
Partie 111: Ressources d'application intégrée: Éléments pour la
modélisation procédurale des formes solides
Reference number
©
ISO 2007
PDF disclaimer
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© ISO 2007
All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized in any form or by any means,
electronic or mechanical, including photocopying and microfilm, without permission in writing from either ISO at the address below or
ISO's member body in the country of the requester.
ISO copyright office
Case postale 56 • CH-1211 Geneva 20
Tel. + 41 22 749 01 11
Fax + 41 22 749 09 47
E-mail copyright@iso.org
Web www.iso.org
Published in Switzerland
ii © ISO 2007 – All rights reserved
Contents Page
1 Scope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
2 Normative references . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
3 Terms, definitions and abbreviations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
3.1 Terms defined in ISO 10303-1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
3.2 Terms defined in ISO 10303-11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
3.3 Terms defined in ISO 10303-42 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
3.4 Terms defined in ISO 10303-43 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
3.5 Terms defined in ISO 10303-55 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
3.6 Terms defined in ISO 10303-108 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
3.7 Other terms and definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
3.8 Abbreviations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
4 Solid shape element . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
4.2 Fundamental concepts and assumptions . . . . . . . . . . . . . . . . . . . . . . . . . 6
4.3 Solid shape element type definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
4.3.1 base solid select . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
4.3.2 blend end condition select . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
4.3.3 generalized surface select . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
4.3.4 trim condition select . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
4.3.5 blend radius variation type . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
4.3.6 trim intent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
4.4 Solid shape element entity definitions . . . . . . . . . . . . . . . . . . . . . . . . . . 10
4.4.1 modified solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
4.4.2 edge blended solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
4.4.3 track blended solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
4.4.4 track blended solid with end conditions . . . . . . . . . . . . . . . . . . . . . 13
4.4.5 solid with constant radius edge blend . . . . . . . . . . . . . . . . . . . . . . 15
4.4.6 solid with variable radius edge blend . . . . . . . . . . . . . . . . . . . . . . . 17
4.4.7 solid with chamfered edges . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
4.4.8 solid with single offset chamfer . . . . . . . . . . . . . . . . . . . . . . . . . . 21
4.4.9 solid with double offset chamfer . . . . . . . . . . . . . . . . . . . . . . . . . 21
4.4.10 solid with angle based chamfer . . . . . . . . . . . . . . . . . . . . . . . . . . 22
4.4.11 surfaced open shell . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
4.4.12 sculptured solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
4.4.13 sculptured solid with selection . . . . . . . . . . . . . . . . . . . . . . . . . . 26
4.4.14 offset face solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
4.4.15 shelled solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
4.4.16 double offset shelled solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
4.4.17 complex shelled solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
4.4.18 modified solid with placed configuration . . . . . . . . . . . . . . . . . . . . . 31
4.4.19 solid with depression . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
4.4.20 solid with through depression . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
4.4.21 solid with hole . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
4.4.22 solid with stepped round hole . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
4.4.23 conical stepped hole transition . . . . . . . . . . . . . . . . . . . . . . . . . . 35
4.4.24 solid with stepped round hole and conical transitions . . . . . . . . . . . . . . 37
4.4.25 solid with flat bottom round hole . . . . . . . . . . . . . . . . . . . . . . . . . 38
4.4.26 solid with spherical bottom round hole . . . . . . . . . . . . . . . . . . . . . . 39
4.4.27 solid with conical bottom round hole . . . . . . . . . . . . . . . . . . . . . . . 40
4.4.28 solid with pocket . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
4.4.29 solid with rectangular pocket . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
4.4.30 solid with circular pocket . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
4.4.31 solid with general pocket . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
4.4.32 solid with slot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
4.4.33 solid with straight slot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
4.4.34 solid with curved slot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
4.4.35 solid with trapezoidal section slot . . . . . . . . . . . . . . . . . . . . . . . . . 49
4.4.36 solid with tee section slot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
4.4.37 solid with groove . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
4.4.38 solid with protrusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
4.4.39 solid with circular protrusion . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
4.4.40 solid with rectangular protrusion . . . . . . . . . . . . . . . . . . . . . . . . . 55
4.4.41 solid with general protrusion . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
4.4.42 solid with shape element pattern . . . . . . . . . . . . . . . . . . . . . . . . . 56
4.4.43 solid with circular pattern . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
4.4.44 solid with rectangular pattern . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
4.4.45 solid with incomplete circular pattern . . . . . . . . . . . . . . . . . . . . . . 60
4.4.46 solid with incomplete rectangular pattern . . . . . . . . . . . . . . . . . . . . . 61
4.4.47 thickened face solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
4.4.48 extruded face solid with trim conditions . . . . . . . . . . . . . . . . . . . . . 64
4.4.49 extruded face solid with draft angle . . . . . . . . . . . . . . . . . . . . . . . 67
4.4.50 extruded face solid with multiple draft angles . . . . . . . . . . . . . . . . . . 67
4.4.51 revolved face solid with trim conditions . . . . . . . . . . . . . . . . . . . . . 68
4.4.52 auxiliary geometric instance aggregator . . . . . . . . . . . . . . . . . . . . . 70
4.5 Solid shape element function definitions . . . . . . . . . . . . . . . . . . . . . . . . . 71
4.5.1 check continuous edges . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
4.5.2 compute total depth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
4.5.3 validate countersink radii . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
Annex A (normative) Short names of entities . . . . . . . . . . . . . . . . . . . . . . . . . . 75
Annex B (normative) Information object registration . . . . . . . . . . . . . . . . . . . . . 77
B.1 Document identification . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
B.2 Schema identification . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
Annex C (informative) Computer interpretable listings . . . . . . . . . . . . . . . . . . . . . 78
Annex D (informative) EXPRESS-G diagrams . . . . . . . . . . . . . . . . . . . . . . . . . 79
Annex E (informative) Justification of the modelling approaches taken in this part of ISO 10303 91
E.1 Representation of constructional operations . . . . . . . . . . . . . . . . . . . . . . . 91
E.2 Representation of local shape configurations . . . . . . . . . . . . . . . . . . . . . . . 92
Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93
Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94
iv © ISO 2007 – All rights reserved
Figures
Figure 1 Schema level diagram of relationships between the solid - shape element schema
of this part of ISO 10303 and other resource schemas . . . . . . . . . . . . . . . . . . . . viii
Figure 2 L-section block . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
Figure 3 L-section block of Figure 2 with constant radius edge blend . . . . . . . . . . . . . 16
Figure 4 A track blended solid with a constant radius edge blend . . . . . . . . . . . . . . . 17
Figure 5 L-section block of Figure 2 with variable radius edge blend . . . . . . . . . . . . . 19
Figure 6 A track blended solid with end conditions for which the blend radius is variable . . 19
Figure 7 Solid with double offset chamfer . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
Figure 8 Solid with angle based chamfer . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
Figure 9 Solid and generalized surface defining a sculptured solid . . . . . . . . . . . . . . . 26
Figure 10 The sculptured solid after the partitioning operation . . . . . . . . . . . . . . . . . 26
Figure 11 Offset face solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
Figure 12 Shelled solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
Figure 13 Cross-section of solid with stepped round hole . . . . . . . . . . . . . . . . . . . . 36
Figure 14 Cross-section of solid with stepped round hole and conical transitions . . . . . . . . 38
Figure 15 Bottom conditions for blind round holes . . . . . . . . . . . . . . . . . . . . . . . 41
Figure 16 Solid with rectangular pocket . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
Figure 17 Solid with straight slot, having two closed ends . . . . . . . . . . . . . . . . . . . 48
Figure 18 Straight slot with multiple entries and exits from part material . . . . . . . . . . . . 48
Figure 19 Trapezoidal and T slot sections . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
Figure 20 Solid with groove . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
Figure 21 The effect of radial alignment in solid with circular pattern . . . . . . . . . . . . . 58
Figure 22 Solid with rectangular pattern . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60
Figure 23 Solid with incomplete circular pattern . . . . . . . . . . . . . . . . . . . . . . . . 61
Figure 24 Solid with incomplete rectangular pattern . . . . . . . . . . . . . . . . . . . . . . . 62
Figure 25 Thickened face solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63
Figure 26 Extruded face solid with draft angle . . . . . . . . . . . . . . . . . . . . . . . . . . 66
Figure D.1 solid shape element schema – EXPRESS-G diagram 1 of 11 . . . . . . . . . . . . 80
Figure D.2 solid shape element schema – EXPRESS-G diagram 2 of 11 . . . . . . . . . . . . 81
Figure D.3 solid shape element schema – EXPRESS-G diagram 3 of 11 . . . . . . . . . . . . 82
Figure D.4 solid shape element schema – EXPRESS-G diagram 4 of 11 . . . . . . . . . . . . 83
Figure D.5 solid shape element schema – EXPRESS-G diagram 5 of 11 . . . . . . . . . . . . 84
Figure D.6 solid shape element schema – EXPRESS-G diagram 6 of 11 . . . . . . . . . . . . 85
Figure D.7 solid shape element schema – EXPRESS-G diagram 7 of 11 . . . . . . . . . . . . 86
Figure D.8 solid shape element schema – EXPRESS-G diagram 8 of 11 . . . . . . . . . . . . 87
Figure D.9 solid shape element schema – EXPRESS-G diagram 9 of 11 . . . . . . . . . . . . 88
Figure D.10 solid shape element schema – EXPRESS-G diagram 10 of 11 . . . . . . . . . . . 89
Figure D.11 solid shape element schema – EXPRESS-G diagram 11 of 11 . . . . . . . . . . . 90
Tables
A.1 Short names of entities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
Foreword
ISO (the International Organization for Standardization) is a worldwide federation of national standards
bodies (ISO member
...
INTERNATIONAL ISO
STANDARD 10303-111
First edition
2007-05-15
Industrial automation systems and
integration — Product data
representation and exchange —
Part 111:
Integrated application resource: Elements
for the procedural modelling of solid
shapes
Systèmes d'automatisation industrielle et intégration — Représentation
et échange de données de produits —
Partie 111: Ressources d'application intégrée: Éléments pour la
modélisation procédurale des formes solides
Reference number
©
ISO 2007
PDF disclaimer
This PDF file may contain embedded typefaces. In accordance with Adobe's licensing policy, this file may be printed or viewed but
shall not be edited unless the typefaces which are embedded are licensed to and installed on the computer performing the editing. In
downloading this file, parties accept therein the responsibility of not infringing Adobe's licensing policy. The ISO Central Secretariat
accepts no liability in this area.
Adobe is a trademark of Adobe Systems Incorporated.
Details of the software products used to create this PDF file can be found in the General Info relative to the file; the PDF-creation
parameters were optimized for printing. Every care has been taken to ensure that the file is suitable for use by ISO member bodies. In
the unlikely event that a problem relating to it is found, please inform the Central Secretariat at the address given below.
© ISO 2007
All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized in any form or by any means,
electronic or mechanical, including photocopying and microfilm, without permission in writing from either ISO at the address below or
ISO's member body in the country of the requester.
ISO copyright office
Case postale 56 • CH-1211 Geneva 20
Tel. + 41 22 749 01 11
Fax + 41 22 749 09 47
E-mail copyright@iso.org
Web www.iso.org
Published in Switzerland
ii © ISO 2007 – All rights reserved
Contents Page
1 Scope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
2 Normative references . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
3 Terms, definitions and abbreviations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
3.1 Terms defined in ISO 10303-1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
3.2 Terms defined in ISO 10303-11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
3.3 Terms defined in ISO 10303-42 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
3.4 Terms defined in ISO 10303-43 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
3.5 Terms defined in ISO 10303-55 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
3.6 Terms defined in ISO 10303-108 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
3.7 Other terms and definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
3.8 Abbreviations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
4 Solid shape element . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
4.2 Fundamental concepts and assumptions . . . . . . . . . . . . . . . . . . . . . . . . . 6
4.3 Solid shape element type definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
4.3.1 base solid select . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
4.3.2 blend end condition select . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
4.3.3 generalized surface select . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
4.3.4 trim condition select . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
4.3.5 blend radius variation type . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
4.3.6 trim intent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
4.4 Solid shape element entity definitions . . . . . . . . . . . . . . . . . . . . . . . . . . 10
4.4.1 modified solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
4.4.2 edge blended solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
4.4.3 track blended solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
4.4.4 track blended solid with end conditions . . . . . . . . . . . . . . . . . . . . . 13
4.4.5 solid with constant radius edge blend . . . . . . . . . . . . . . . . . . . . . . 15
4.4.6 solid with variable radius edge blend . . . . . . . . . . . . . . . . . . . . . . . 17
4.4.7 solid with chamfered edges . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
4.4.8 solid with single offset chamfer . . . . . . . . . . . . . . . . . . . . . . . . . . 21
4.4.9 solid with double offset chamfer . . . . . . . . . . . . . . . . . . . . . . . . . 21
4.4.10 solid with angle based chamfer . . . . . . . . . . . . . . . . . . . . . . . . . . 22
4.4.11 surfaced open shell . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
4.4.12 sculptured solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
4.4.13 sculptured solid with selection . . . . . . . . . . . . . . . . . . . . . . . . . . 26
4.4.14 offset face solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
4.4.15 shelled solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
4.4.16 double offset shelled solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
4.4.17 complex shelled solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
4.4.18 modified solid with placed configuration . . . . . . . . . . . . . . . . . . . . . 31
4.4.19 solid with depression . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
4.4.20 solid with through depression . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
4.4.21 solid with hole . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
4.4.22 solid with stepped round hole . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
4.4.23 conical stepped hole transition . . . . . . . . . . . . . . . . . . . . . . . . . . 35
4.4.24 solid with stepped round hole and conical transitions . . . . . . . . . . . . . . 37
4.4.25 solid with flat bottom round hole . . . . . . . . . . . . . . . . . . . . . . . . . 38
4.4.26 solid with spherical bottom round hole . . . . . . . . . . . . . . . . . . . . . . 39
4.4.27 solid with conical bottom round hole . . . . . . . . . . . . . . . . . . . . . . . 40
4.4.28 solid with pocket . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
4.4.29 solid with rectangular pocket . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
4.4.30 solid with circular pocket . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
4.4.31 solid with general pocket . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
4.4.32 solid with slot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
4.4.33 solid with straight slot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
4.4.34 solid with curved slot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
4.4.35 solid with trapezoidal section slot . . . . . . . . . . . . . . . . . . . . . . . . . 49
4.4.36 solid with tee section slot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
4.4.37 solid with groove . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
4.4.38 solid with protrusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
4.4.39 solid with circular protrusion . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
4.4.40 solid with rectangular protrusion . . . . . . . . . . . . . . . . . . . . . . . . . 55
4.4.41 solid with general protrusion . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
4.4.42 solid with shape element pattern . . . . . . . . . . . . . . . . . . . . . . . . . 56
4.4.43 solid with circular pattern . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
4.4.44 solid with rectangular pattern . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
4.4.45 solid with incomplete circular pattern . . . . . . . . . . . . . . . . . . . . . . 60
4.4.46 solid with incomplete rectangular pattern . . . . . . . . . . . . . . . . . . . . . 61
4.4.47 thickened face solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
4.4.48 extruded face solid with trim conditions . . . . . . . . . . . . . . . . . . . . . 64
4.4.49 extruded face solid with draft angle . . . . . . . . . . . . . . . . . . . . . . . 67
4.4.50 extruded face solid with multiple draft angles . . . . . . . . . . . . . . . . . . 67
4.4.51 revolved face solid with trim conditions . . . . . . . . . . . . . . . . . . . . . 68
4.4.52 auxiliary geometric instance aggregator . . . . . . . . . . . . . . . . . . . . . 70
4.5 Solid shape element function definitions . . . . . . . . . . . . . . . . . . . . . . . . . 71
4.5.1 check continuous edges . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
4.5.2 compute total depth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
4.5.3 validate countersink radii . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
Annex A (normative) Short names of entities . . . . . . . . . . . . . . . . . . . . . . . . . . 75
Annex B (normative) Information object registration . . . . . . . . . . . . . . . . . . . . . 77
B.1 Document identification . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
B.2 Schema identification . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
Annex C (informative) Computer interpretable listings . . . . . . . . . . . . . . . . . . . . . 78
Annex D (informative) EXPRESS-G diagrams . . . . . . . . . . . . . . . . . . . . . . . . . 79
Annex E (informative) Justification of the modelling approaches taken in this part of ISO 10303 91
E.1 Representation of constructional operations . . . . . . . . . . . . . . . . . . . . . . . 91
E.2 Representation of local shape configurations . . . . . . . . . . . . . . . . . . . . . . . 92
Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93
Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94
iv © ISO 2007 – All rights reserved
Figures
Figure 1 Schema level diagram of relationships between the solid - shape element schema
of this part of ISO 10303 and other resource schemas . . . . . . . . . . . . . . . . . . . . viii
Figure 2 L-section block . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
Figure 3 L-section block of Figure 2 with constant radius edge blend . . . . . . . . . . . . . 16
Figure 4 A track blended solid with a constant radius edge blend . . . . . . . . . . . . . . . 17
Figure 5 L-section block of Figure 2 with variable radius edge blend . . . . . . . . . . . . . 19
Figure 6 A track blended solid with end conditions for which the blend radius is variable . . 19
Figure 7 Solid with double offset chamfer . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
Figure 8 Solid with angle based chamfer . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
Figure 9 Solid and generalized surface defining a sculptured solid . . . . . . . . . . . . . . . 26
Figure 10 The sculptured solid after the partitioning operation . . . . . . . . . . . . . . . . . 26
Figure 11 Offset face solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
Figure 12 Shelled solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
Figure 13 Cross-section of solid with stepped round hole . . . . . . . . . . . . . . . . . . . . 36
Figure 14 Cross-section of solid with stepped round hole and conical transitions . . . . . . . . 38
Figure 15 Bottom conditions for blind round holes . . . . . . . . . . . . . . . . . . . . . . . 41
Figure 16 Solid with rectangular pocket . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
Figure 17 Solid with straight slot, having two closed ends . . . . . . . . . . . . . . . . . . . 48
Figure 18 Straight slot with multiple entries and exits from part material . . . . . . . . . . . . 48
Figure 19 Trapezoidal and T slot sections . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
Figure 20 Solid with groove . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
Figure 21 The effect of radial alignment in solid with circular pattern . . . . . . . . . . . . . 58
Figure 22 Solid with rectangular pattern . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60
Figure 23 Solid with incomplete circular pattern . . . . . . . . . . . . . . . . . . . . . . . . 61
Figure 24 Solid with incomplete rectangular pattern . . . . . . . . . . . . . . . . . . . . . . . 62
Figure 25 Thickened face solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63
Figure 26 Extruded face solid with draft angle . . . . . . . . . . . . . . . . . . . . . . . . . . 66
Figure D.1 solid shape element schema – EXPRESS-G diagram 1 of 11 . . . . . . . . . . . . 80
Figure D.2 solid shape element schema – EXPRESS-G diagram 2 of 11 . . . . . . . . . . . . 81
Figure D.3 solid shape element schema – EXPRESS-G diagram 3 of 11 . . . . . . . . . . . . 82
Figure D.4 solid shape element schema – EXPRESS-G diagram 4 of 11 . . . . . . . . . . . . 83
Figure D.5 solid shape element schema – EXPRESS-G diagram 5 of 11 . . . . . . . . . . . . 84
Figure D.6 solid shape element schema – EXPRESS-G diagram 6 of 11 . . . . . . . . . . . . 85
Figure D.7 solid shape element schema – EXPRESS-G diagram 7 of 11 . . . . . . . . . . . . 86
Figure D.8 solid shape element schema – EXPRESS-G diagram 8 of 11 . . . . . . . . . . . . 87
Figure D.9 solid shape element schema – EXPRESS-G diagram 9 of 11 . . . . . . . . . . . . 88
Figure D.10 solid shape element schema – EXPRESS-G diagram 10 of 11 . . . . . . . . . . . 89
Figure D.11 solid shape element schema – EXPRESS-G diagram 11 of 11 . . . . . . . . . . . 90
Tables
A.1 Short names of entities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
Foreword
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