ISO/TR 10300-30:2024

Technical
Report
ISO/TR 10300-30
Second edition
Calculation of load capacity of
2024-09
bevel gears —
Part 30:
ISO rating system for bevel and
hypoid gears — Sample calculations
Calcul de la capacité de charge des engrenages coniques —
Partie 30: Système d'évaluation ISO pour engrenages conique et
hypoïde — Type de calculs
Reference number
© ISO 2024
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Published in Switzerland
ii
Contents
Foreword . v
Introduction .vi
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
4 Symbols and abbreviated terms . 1
5 Application . 9
5.1 General . 9
5.2 Structure of calculation methods . 10
Annex A (informative) Sample 1: Rating of a spiral bevel gear pair without hypoid offset
according to Method B1 and Method B2 . 12
A.1 Initial data . 12
A.2 Calculation of Sample 1 according to Method B1 . 16
A.3 Calculation of Sample 1 according to Method B2 . 39
A.4 Calculation of Sample 1 according to local calculation method for surface durability –
Method B1 localised . 55
Annex B (informative)  Sample 2: Rating of a hypoid gear set according to Method B1 and
Method B2 . 93
B.1 Initial data . 93
B.2 Calculation of Sample 2 according to Method B1 . 97
B.3 Calculation of Sample 2 according to Method B2 . 121
B.4 Calculation of Sample 2 according to local calculation method for surface durability –
Method B1 localised . 150
Annex C (informative)  Sample 3: Rating of a hypoid gear set according to Method B1 and
Method B2 . 182
C.1 Initial data . 182
C.2 Calculation of Sample 3 according to Method B1 . 186
C.3 Calculation of Sample 3 according to Method B2 . 210
C.4 Calculation of Sample 3 according to local calculation method for surface durability –
Method B1 localised . 240
Annex D (informative)  Sample 4: Rating of a hypoid gear set according to Method B1
and Method B2 . 272
D.1 Initial data . 272
D.2 Calculation of Sample 4 according to Method B1 . 276
D.3 Calculation of Sample 4 according to Method B2 . 300
D.4 Calculation of Sample 4 according to local calculation method for surface durability –
Method B1 localised . 327
iii
Annex E (informative)  Graphical representation of the calculation results for Sample 1 to
Sample 4 . 359
Bibliography . 362
iv
Foreword
ISO (the International Organization for Standardization) is a worldwide federation of national standards
bodies (ISO member bodies). The work of preparing International Standards is normally carried out
through ISO technical committees. Each member body interested in a subject for which a technical
committee has been established has the right to be represented on that committee. International
organizations, governmental and non-governmental, in liaison with ISO, also take part in the work. ISO
collaborates closely with the International Electrotechnical Commission (IEC) on all matters of
electrotechnical standardization.
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 www.iso.org/directives).
ISO draws attention to the possibility that the implementation of this document may involve the use of
patents. ISO takes no position concerning the evidence, validity or applicability of any claimed patent
rights in respect thereof. As of the date of publication of this document, ISO had not received notice of
patents which may be required to implement this document. However, implementers are cautioned that
this may not represent the latest information, which may be obtained from the patent database available
at www.iso.org/patents. ISO shall not be held responsible for identifying any or all such patent rights.
Any trade name used in this document is information given for the convenience of users and does not
constitute an endorsement.
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
www.iso.org/iso/foreword.html.
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/TR 10300-30:2017), which has been
technically revised.
The main changes are as follows:
— all sample calculations have been revised according to ISO 10300-1:2023, ISO 10300-2:2023 and ISO
10300-3:2023;
— all sample calculations include localised calculation method for Method B1.
A list of all parts in the ISO 10300 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 www.iso.org/members.html.
v
Introduction
The ISO 10300 series consists of International Standards, Technical Specifications (TS) and Technical
Reports (TR) under the general title Calculation of load capacity of bevel 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 10300-1 to ISO 10300-19 cover fatigue analyses for gear rating. The
procedures described in ISO 10300-20 to ISO 10300-29 are predominantly related to the tribological
behaviour of the lubricated flank surface contact. ISO 10300-30 to ISO 10300-39 include example
calculations. The ISO 10300 series allows the addition of new parts under appropriate numbers to reflect
knowledge gained in the future.
Requesting standardized calculations according to the ISO 10300 series without referring to specific
parts requires the use of only those parts that are currently designated as International Standards (see
Table 1 for listing). When requesting further calculations, the relevant part or parts of the ISO 10300
series need to be specified. The 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 the ISO 10300 series
International Technical Technical
Calculation of load capacity of bevel gears
Standard Specification Report
Part 1: Introduction and general influence factors X
Part 2: Calculation of surface durability (macropitting) X
Part 3: Calculation of tooth root strength X
Part 4 to 19: to be assigned
Part 20: Calculation of scuffing load capacity – Flash temperature
X
method
Part 21 to 29: to be assigned
Part 30: ISO rating system for bevel and hypoid gears — Sample
X
calculations
Part 32: ISO rating system for bevel and hypoid gears — Sample
X
calculation for scuffing load capacity
NOTE  At the time of publication of this document, some of the parts listed here were under development. Consult the ISO
website.
This document was prepared with sample calculations for different bevel gear designs. They are intended
for users of the ISO 10300 series to follow a whole calculation procedure formula by formula. Practical
experience has shown that this way, to get into a complex subject, is very helpful.
However, this document is not intended for use by the average engineer. Rather, it is aimed at the well-
versed engineer capable of selecting reasonable values for the parameters and factors in these formulae
based on knowledge of similar designs and on awareness of the effects behind these formulae.
vi
TECHNICAL REPORT ISO/TR 10300-30:2024(E)

Calculation of load capacity of bevel gears —
Part 30:
ISO rating system for bevel and hypoid gears — Sample
calculations
1 Scope
This document provides sample calculations for the load capacity of different bevel gear designs,
determined according to the methods and formulae of the ISO 10300 series. The initial geometric gear
data necessary for these calculations are according to ISO 23509.
The term “bevel gear” is used to mean straight, helical (skew), spiral bevel, zerol and hypoid gear designs.
Where this document pertains to one or more, but not all, the specific forms are identified.
The manufacturing process of forming the desired tooth form is not intended to imply any specific
process, but rather to be general in nature and applicable to all calculation methods of the
ISO 10300 series. The fact that there are bevel gear designs with tapered teeth and others where the tooth
depth remains constant along the facewidth (uniform depth) does not require to apply Method B2 for the
first and Method B1 for the second tooth configuration.
The rating system of the ISO 10300 series is based on virtual cylindrical gears and restricted to bevel
gears whose virtual cylindrical gears have transverse contact ratios of ε < 2. Additionally, the given
vα
relations are valid for bevel gears of which the sum of profile shift coefficients of pinion and wheel is zero
(see ISO 23509).
WARNING The user is cautioned that when the formulae are used for large average mean spiral
angles, (β + β )/2 > 45°, for effective pressure angles, α > 30° and/or for large facewidths, b > 13 m ,
m1 m2 e mn
to confirm the calculated results of the ISO 10300 series by experience.
2 Normative references
The following documents are referred to in the text in such a way that some or all of their content
constitutes requirements of this document. For dated references, only the edition cited applies. For
undated references, the latest edition of the referenced document (including any amendments) applies.
ISO 10300-1:2023, Calculation of load capacity of bevel gears — Part 1: Introduction and general influ
...