CEN/TS 13103-2:2020

SLOVENSKI STANDARD
01-september-2020
Železniške naprave - Kolesne dvojice in podstavni vozički - 2. del: Metode za
načrtovanje osi z notranjim uležajenjem
Railway applications - Wheelsets and bogies - Part 2: Design method for axles with
internal journals
Bahnanwendungen - Radsätze und Drehgestelle - Teil 2: Konstruktionsleitfaden für
innengelagerte Radsatzwellen
Applications ferroviaires - Essieux montés et bogies - Partie 2: Méthode de conception
pour les essieux-axes à fusées intérieures
Ta slovenski standard je istoveten z: CEN/TS 13103-2:2020
ICS:
45.040 Materiali in deli za železniško Materials and components
tehniko for railway engineering
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

CEN/TS 13103-2
TECHNICAL SPECIFICATION
SPÉCIFICATION TECHNIQUE
June 2020
TECHNISCHE SPEZIFIKATION
ICS 45.040
English Version
Railway applications - Wheelsets and bogies - Part 2:
Design method for axles with internal journals
Applications ferroviaires - Essieux montés et bogies - Bahnanwendungen - Radsätze und Drehgestelle - Teil
Partie 2: Méthode de conception pour les essieux-axes 2: Konstruktionsleitfaden für innengelagerte
à fusées intérieures Radsatzwellen
This Technical Specification (CEN/TS) was approved by CEN on 13 April 2020 for provisional application.

The period of validity of this CEN/TS is limited initially to three years. After two years the members of CEN will be requested to
submit their comments, particularly on the question whether the CEN/TS can be converted into a European Standard.

CEN members are required to announce the existence of this CEN/TS in the same way as for an EN and to make the CEN/TS
available promptly at national level in an appropriate form. It is permissible to keep conflicting national standards in force (in
parallel to the CEN/TS) until the final decision about the possible conversion of the CEN/TS into an EN is reached.

CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia,
Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway,
Poland, Portugal, Republic of North Macedonia, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and
United Kingdom.
EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION

EUROPÄISCHES KOMITEE FÜR NORMUNG

CEN-CENELEC Management Centre: Rue de la Science 23, B-1040 Brussels
© 2020 CEN All rights of exploitation in any form and by any means reserved Ref. No. CEN/TS 13103-2:2020 E
worldwide for CEN national Members.

Contents Page
European foreword . 3
1 Scope . 4
2 Normative references . 4
3 Terms and definitions . 5
4 Symbols and abbreviations . 6
5 General . 8
6 Forces and moments to be taken into consideration . 8
6.1 Types of forces . 8
6.2 Influence of masses in motion . 8
6.3 Effects due to braking .13
6.4 Effects due to curving and wheel geometry .18
6.5 Effects due to traction .18
6.6 Calculation of the resultant moment .19
7 Determination of geometric characteristics of the various parts of the axle .20
7.1 Stresses in the various sections of the axle .20
7.2 Determination of the diameter of journals and axle bodies .23
7.3 Determination of the diameter of the various seats from the diameter of the axle
body or from the journals .23
8 Maximum permissible stresses .26
8.1 General .26
8.2 Steel grade EA1N and EA1T .27
8.3 Steel grade other than EA1N or EA1T .29
Annex A (informative) Model of axle calculation sheet .35
Bibliography .36
European foreword
This document (CEN/TS 13103-2:2020) has been prepared by Technical Committee CEN/TC 256
“Railway applications”, the secretariat of which is held by DIN.
Attention is drawn to the possibility that some of the elements of this document may be the subject of
patent rights. CEN shall not be held responsible for identifying any or all such patent rights.
According to the CEN/CENELEC Internal Regulations, the national standards organisations of the
following countries are bound to announce this Technical Specification: Austria, Belgium, Bulgaria,
Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland,
Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Republic of
North Macedonia, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and the United
Kingdom.
1 Scope
This document:
— defines the forces and moments to be taken into account with reference to masses, traction and
braking conditions;
— gives the stress calculation method for axles with inboard axle journals;
— specifies the maximum permissible stresses to be assumed in calculations for steel grade EA1N, EA1T
and EA4T defined in EN 13261;
— describes the method for determination of the maximum permissible stresses for other steel grades;
— determines the diameters for the various sections of the axle and recommends the preferred shapes
and transitions to ensure adequate service performance.
This document is applicable for axles defined in EN 13261.
This document applies only for heavy rail vehicles.
The calculation of wheelsets for special applications (e.g. railbound construction and maintenance
machines) can be made according to this document only for the load cases of free-rolling and rolling in
train formation.
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.
EN 13260, Railway applications — Wheelsets and bogies — Wheelsets — Product requirements
EN 13261, Railway applications — Wheelsets and bogies — Axles — Product requirements
EN 15313, Railway applications - In-service wheelset operation requirements - In-service and off-vehicle
wheelset maintenance
EN 15663, Railway applications - Definition of vehicle reference masses
3 Terms and definitions
For the purposes of this document, the following terms and definitions apply.
ISO and IEC maintain terminological databases for use in standardization at the following addresses:
— IEC Electropedia: available at http://www.electropedia.org/
— ISO Online browsing platform: available at https://www.iso.org/obp
3.1
powered axle
vehicle axle that is driven by a vehicle’s engine. For the purpose of this standard, the following solid and
hollow axles are considered as “powered axles”:
— powered axles for railway rolling stock;
— non-powered axles of motor bogies;
— non-powered axles of locomotives
3.2
non-powered axle
solid and hollow axle of railway rolling stock used for the transportation of passengers and freight that is
not considered as a powered axle as defined in 3.1
3.3
technical specification
document, describing specific parameters and/or product requirements as an addition to the
requirements of this standard
3.4
guiding axle
first axle (i.e. leading) of a train set
4 Symbols and abbreviations
For the purposes of this document, the symbols and abbreviations in Table 1 apply.
Table 1 — Symbols and abbreviations
Symbol Unit Description
kg Mass on journals (including bearings and axle boxes)
m
kg Wheelset mass and masses on the wheelset between rolling circles according to
m
EN 13262 (brake disc, gear wheel etc.)
kg For the wheelset considered, proportion of the mass of the vehicle on the rails
m + m
g
m/s Acceleration due to gravity
P
N
()m + m g
Half the vertical force per wheelset on the rail
N Vertical static force per journal when the wheelset is loaded symmetrically
P
m g
N Vertical force on the more heavily-loaded journal
P
N Vertical force on the less heavily-loaded journal
P
'
N Proportion of P braked by any mechanical braking system
P
N Wheel/rail horizontal force perpendicular to the rail on the side of the more
Y
heavily- loaded journal
N Wheel/rail horizontal force perpendicular to the rail on the side of the less
Y
heavily-loaded journal
H
N
Force balancing the forces Y and Y
1 2
N Vertical reaction on the wheel situated on the side of the more heavily-loaded
Q
journal
N Vertical reaction on the wheel situated on the side of the less heavily-loaded
Q
journal
N Forces exerted by the masses of the unsprung elements situated between the
F
i
two wheels (brake disc(s), pinion, etc.)
N Maximum force input of the brake shoes of the same shoeholder on one wheel
F
f
or interface force of the pads on one disc
N∙mm Bending moment due to the masses in motion
M
x
' '
N∙mm Bending moments due to braking
M , M
x z
'
N∙mm Torsional moment due to braking
M
y
'' ''
N∙mm Bending moments due to traction
,
M M
x z
''
N∙mm Torsional moment due to traction
M
y
MX , MZ N∙mm Sum of bending moments
MY
N∙mm Sum of torsional moments
MR
N∙mm Resultant moment
2b
mm Distance between vertical force input points on axle journals
2s
mm Distance between wheel rolling circles
mm Height above the axle centreline of vehicle centre of gravity of masses carried by
h
the wheelset
mm
y Distance between the rolling circle of one wheel and force F
i i
y
mm Abscissa for any section of the axle calculated from the section subject to force
Q
Γ
Average friction coefficient between the wheel and the brake shoe or between
the brake pads and the disc
σ
N/mm Stress calculated in one section
K
Fatigue stress correction factor
R
mm Nominal wheel radius (Nominal wheel diameter / 2)
mm Brake radius
R
b
d mm Diameter for one section of the axle
'
mm Bore diameter of a hollow axle
d
D
mm Diameter used for determining K

r
mm Radius of transition fillet or groove used to determine
K
S
Security coefficient
G
Centre of gravity
2 7
N/mm Fatigue limit under rotating bending up to 10 cycles for unnotched test pieces
R
fL
2 7
N/mm Fatigue limit under rotating bending up to 10 cycles for notched test pieces
R
fE
m/s Unbalanced transverse acceleration
a
q
Thrust factor
f
q
5 General
The major phases for the design of an axle are:
a) definition of the forces to be taken into account and calculation of the moments on the various
sections of the axle;
b) selection of the diameters of the axle body and journals and - on the basis of these diameters -
calculation of the diameters for the other parts of the axle;
c) the options taken are verified in the following manner:
— stress calculation for each section;
— comparison of these stresses with the maximum permissible stresses.
The maximum permissible stresses are mainly defined by:
— the steel grade;
— whether the axle is solid or hollow;
— the type of transmission of motor power.
An example of a data sheet with all these phases is given in Annex A.
6 Forces and moments to be taken into consideration
6.1 Types of forces
Three types of forces are to be taken into consideration as a function of the:
— masses in motion;
— braking system;
— traction.
6.2 Influence of masses in motion
The forces generated by masses in motion are concentrated along the vertical symmetry plane (y, z) (see
Figure 1) intersecting the axle centreline.

Figure 1 — Definition of centrelines and of moments due to mas
...