Calculation of load capacity of spur and helical gears — Part 30: Calculation examples for the application of ISO 6336 parts 1,2,3,5

This document presents worked examples that apply exclusively the approximation methods for the determination of specific influential factors, such as the dynamic factor, Kv, and the load distributions factors KHα, KHβ, etc., where full analytical calculation procedures are provided within the referenced parts of ISO 6336. Worked examples covering the more advanced analysis techniques and methods are not applicable to this document. The example calculations presented in this document are provided for guidance on the application of ISO 6336-1:2019, ISO 6336-2:2019, ISO 6336-3:2019 and ISO 6336-5:2016. Any of the values, safety factors or the data presented do not represent recommended criteria for real gearing. Data presented within this document are for the purpose of aiding the application of the calculation procedures of ISO 6336-1, ISO 6336-2, ISO 6336-3 and ISO 6336-5.

Calcul de la capacité de charge des engrenages cylindriques à dentures droite et hélicoïdale — Partie 30: Exemples d'application de l'ISO 6336 parties 1,2,3,5

Le présent document fournit des exemples pratiques qui appliquent exclusivement les méthodes d'approximation permettant de déterminer des facteurs d'influence spécifiques, tels que le facteur dynamique, Kv, et les facteurs de distribution de charge, KHα, KHβ, etc., pour lesquelles des méthodes de calcul analytiques complètes sont fournies dans les parties référencées de l'ISO 6336. Les exemples pratiques couvrant des méthodes et des techniques d'analyse plus avancées ne s'appliquent pas au présent document. Les exemples de calcul donnés dans le présent document sont fournis à titre indicatif pour l'application des ISO 6336-1:2019, ISO 6336-2:2019, ISO 6336-3:2019 et ISO 6336-5:2016. Aucune des valeurs, aucun des coefficients de sécurité, ni aucune des données présentés ne représentent les critères recommandés pour des engrenages réels. Les données qui figurent dans le présent document visent à faciliter l'application des méthodes de calcul des ISO 6336-1, ISO 6336-2, ISO 6336-3 et ISO 6336-5.

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ISO/TR 6336-30:2022 - Calculation of load capacity of spur and helical gears — Part 30: Calculation examples for the application of ISO 6336 parts 1,2,3,5 Released:7. 12. 2022
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REPORT 6336-30
Second edition
Calculation of load capacity of spur
and helical gears —
Part 30:
Calculation examples for the
application of ISO 6336 parts 1,2,3,5
Calcul de la capacité de charge des engrenages cylindriques à
dentures droite et hélicoïdale —
Partie 30: Exemples d'application de l'ISO 6336 parties 1, 2, 3, 5
Reference number
© ISO 2022
All rights reserved. Unless otherwise specified, or required in the context of its implementation, no part of this publication may
be reproduced or utilized otherwise in any form or by any means, electronic or mechanical, including photocopying, or posting on
the internet or an intranet, without prior written permission. Permission can be requested from either ISO at the address below
or ISO’s member body in the country of the requester.
ISO copyright office
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Phone: +41 22 749 01 11
Published in Switzerland
Contents Page
Foreword .iv
Introduction .v
1 Scope . 1
2 Normative references . 1
3 Terms, definitions, symbols and units . 1
3.1 Terms and definitions . 1
3.2 Symbols and units . 1
4 Worked examples . 6
4.1 General . 6
4.2 Qualifying comments . . 6
4.2.1 Calculation of base pitch deviation, f . 6
4.2.2 Calculation of running-in allowance, y , for the transverse load factors K
α Hα
and K . 7

4.2.3 Calculation of mesh stiffness, c . 7
4.2.4 Application of lubricant film Z , Z and Z , hardness Z and size Z
L v R W X
influence factors . 7
4.2.5 Calculation of the permissible contact stress in the limited life range (Z
and Z ) . 7
4.2.6 Application of work hardening factor, Z . 8
4.2.7 Determination of Rz. 8
4.2.8 Facewidth for calculations involving double helical gears . 8
4.2.9 Calculation of ε for double helical gears . 8
4.2.10 Calculation of f and f . 8
Hβ5 Hβ
4.2.11 Helix tolerance f and f for double helical gears. 8
Hβ5 Hβ
4.2.12 Calculation of root diameter, d . 8
4.2.13 Calculations for internal gears. 8
4.2.14 Rounding of values . 8
4.2.15 Deviations of values . 8
4.2.16 Nominal and generated values. 9
4.2.17 ISO 1328-1:2013 . 9
4.2.18 Values for reference only . . . 9
4.3 Example 1: Single helical case carburized gear pair . 9
4.4 Example 2: Single helical through-hardened gear pair . 14
4.5 Example 3: Spur through-hardened gear pair . 18
4.6 Example 4: Spur case carburized gear pair . 22
4.7 Example 5: Spur gear pair with an induction hardened pinion and through-
hardened cast gear . 26
4.8 Example 6: Spur internal through-hardened gear pair .30
4.9 Example 7: Double helical through-hardened wrought gear pair .34
4.10 Example 8: Single helical case carburized gear pair.38
Annex A (informative) Example 1 detailed calculation .43
Bibliography .63
ISO (the International Organization for Standardization) is a worldwide federation of national standards
bodies (ISO member bodies). The work of preparing International Standards is normally carried out
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ISO collaborates closely with the International Electrotechnical Commission (IEC) on all matters of
electrotechnical standardization.
The procedures used to develop this document and those intended for its further maintenance are
described in the ISO/IEC Directives, Part 1. In particular, the different approval criteria needed for the
different types of ISO documents should be noted. This document was drafted in accordance with the
editorial rules of the ISO/IEC Directives, Part 2 (see
Attention is drawn to the possibility that some of the elements of this document may be the subject of
patent rights. ISO shall not be held responsible for identifying any or all such patent rights. Details of
any patent rights identified during the development of the document will be in the Introduction and/or
on the ISO list of patent declarations received (see
Any trade name used in this document is information given for the convenience of users and does not
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For an explanation of the voluntary nature of standards, the meaning of ISO specific terms and
expressions related to conformity assessment, as well as information about ISO's adherence to
the World Trade Organization (WTO) principles in the Technical Barriers to Trade (TBT), see
This document was prepared by Technical Committee ISO/TC 60, Gears, Subcommittee SC 2, Gear
capacity calculation.
This second edition cancels and replaces the first edition (ISO 6336-30:2017), which has been
technically revised according to ISO 6336-1:2019, ISO 6336-2:2019, ISO 6336-3:2019.
The main changes are as follows:
— introduction of tooth flank correction factor (auxiliary factor, see ISO 6336-2:2019) f ;
— introduction of load distribution influence factor f ;
— modification of the helix angle factor Y ;
— calculation of tooth form factor Y and stress correction factor Y generated with a shaper cutter;
— update to the qualifying comments in 4.2;
— update to the input variables (additional values, modified values).
A list of all parts in the ISO 6336 series can be found on the ISO website.
Any feedback or questions on this document should be directed to the user’s national standards body. A
complete listing of these bodies can be found at
The ISO 6336 series consists of International Standards, Technical Specifications (TS) and Technical
Reports (TR) under the general title Calculation of load capacity of spur and helical gears (see Table 1).
— International Standards contain calculation methods that are based on widely accepted practices
and have been validated.
— TS contain calculation methods that are still subject to further development.
— TR contain data that is informative, such as example calculations.
The procedures specified in ISO 6336-1 to ISO 6336-19 cover fatigue analyses for gear rating. The
procedures described in ISO 6336-20 to ISO 6336-29 are predominantly related to the tribological
behaviour of the lubricated flank surface contact. ISO 6336-30 to ISO 6336-39 include example
calculations. The ISO 6336 series allows the addition of new parts under appropriate numbers to reflect
knowledge gained in the future.
Requesting standardized calculations according to ISO 6336 without referring to specific parts requires
the use of only those parts that are designated as International Standards (see Table 1 for listing).
When requesting further calculations, the relevant part or parts of ISO 6336 need to be specified. Use
of a Technical Specification as acceptance criteria for a specific design needs to be agreed in advance
between manufacturer and purchaser.
Table 1 — Overview of ISO 6336
Internation- Technical
Calculation of load capacity of spur and helical gears al Specifica-
Standard tion
Part 1: Basic principles, introduction and general influence factors X
Part 2: Calculation of surface durability (pitting) X
Part 3: Calculation of tooth bending strength X
Part 4: Calculation of tooth flank fracture load capacity X
Part 5: Strength and quality of materials X
Part 6: Calculation of service life under variable load X
Part 20: Calculation of scuffing load capacity — Flash temperature
Part 21: Calculation of scuffing load capacity — Integral temperature
Part 22: Calculation of micropitting load capacity
(replaces: ISO/TR 15144-1)
Part 30: Calculation examples for the application of ISO 6336‑1,
ISO 6336‑2, ISO 6336‑3 and, ISO 6336‑5
Part 31: Calculation examples of micropitting load capacity
(replaces: ISO/TR 15144-2)
NOTE  At the time of publication of this document, some of the parts listed here were under development. Consult the ISO
This document provides worked examples for the application of the calculation procedures defined in
ISO 6336-1, ISO 6336-2, ISO 6336-3 and ISO 6336-5. The example calculations cover the application to
spur, helical and double helical, external and internal cylindrical involute gears for both high speed
and low speed operating conditions, determining the ISO safety factors against tooth flank pitting and
tooth root bending strength for each gear set. The calculation procedures used are consistent with
those presented in ISO 6336-1, ISO 6336-2, ISO 6336-3 and ISO 6336-5, unless qualifying comments are
provided. Where qualifying comments have been included in this document, they reflect areas of the
calculation procedures presented in the current standards where points of clarification are required
or editorial errors have been identified. The changes defined within the qualifying comments will be
ISO/TR 6336-30:

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