Quantities and units - Part 4: Mechanics (ISO 80000-4:2019)

This document gives names, symbols, definitions and units for quantities of mechanics. Where appropriate, conversion factors are also given.

Größen und Einheiten - Teil 4: Mechanik (ISO 80000-4:2019)

Grandeurs et unités - Partie 4: Mécanique (ISO 80000-4:2019)

Le présent document donne les noms, les symboles, les définitions et les unités des grandeurs de la mécanique. Des facteurs de conversion sont également indiqués, s'il y a lieu.

Veličine in enote - 4. del: Mehanika (ISO 80000-4:2019)

Ta dokument podaja imena, simbole, definicije in enote za veličine s področja mehanike. Kadar je primerno, so navedeni tudi pretvorniki (pretvorni dejavniki).

General Information

Status
Published
Publication Date
08-Oct-2019
Technical Committee
Current Stage
6060 - Definitive text made available (DAV) - Publishing
Due Date
09-Oct-2019
Completion Date
09-Oct-2019

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SLOVENSKI STANDARD
SIST EN ISO 80000-4:2019
01-december-2019
Nadomešča:
SIST EN ISO 80000-4:2013
Veličine in enote - 4. del: Mehanika (ISO 80000-4:2019)
Quantities and units - Part 4: Mechanics (ISO 80000-4:2019)
Größen und Einheiten - Teil 4: Mechanik (ISO 80000-4:2019)
Grandeurs et unités - Partie 4: Mécanique (ISO 80000-4:2019)
Ta slovenski standard je istoveten z: EN ISO 80000-4:2019
ICS:
01.060 Veličine in enote Quantities and units
17.020 Meroslovje in merjenje na Metrology and measurement
splošno in general
SIST EN ISO 80000-4:2019 en,fr,de

2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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SIST EN ISO 80000-4:2019
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SIST EN ISO 80000-4:2019
EN ISO 80000-4
EUROPEAN STANDARD
NORME EUROPÉENNE
October 2019
EUROPÄISCHE NORM
ICS 01.060 Supersedes EN ISO 80000-4:2013
English Version
Quantities and units - Part 4: Mechanics (ISO 80000-
4:2019)

Grandeurs et unités - Partie 4: Mécanique (ISO 80000- Größen und Einheiten - Teil 4: Mechanik (ISO 80000-

4:2019) 4:2019)
This European Standard was approved by CEN on 5 May 2019.

CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this

European Standard the status of a national standard without any alteration. Up-to-date lists and bibliographical references

concerning such national standards may be obtained on application to the CEN-CENELEC Management Centre or to any CEN

member.

This European Standard exists in three official versions (English, French, German). A version in any other language made by

translation under the responsibility of a CEN member into its own language and notified to the CEN-CENELEC Management

Centre has the same status as the official versions.

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

© 2019 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 80000-4:2019 E

worldwide for CEN national Members.
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SIST EN ISO 80000-4:2019
EN ISO 80000-4:2019 (E)
Contents Page

European foreword ....................................................................................................................................................... 3

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SIST EN ISO 80000-4:2019
EN ISO 80000-4:2019 (E)
European foreword

This document (EN ISO 80000-4:2019) has been prepared by Technical Committee ISO/TC 12

"Quantities and units" in collaboration with Technical Committee CEN/SS F02 “Units and symbols” the

secretariat of which is held by CCMC.

This European Standard shall be given the status of a national standard, either by publication of an

identical text or by endorsement, at the latest by April 2020, and conflicting national standards shall be

withdrawn at the latest by April 2020.

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.

This document supersedes EN ISO 80000-4:2013.

According to the CEN-CENELEC Internal Regulations, the national standards organizations of the

following countries are bound to implement this European Standard: 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.
Endorsement notice

The text of ISO 80000-4:2019 has been approved by CEN as EN ISO 80000-4:2019 without any

modification.
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SIST EN ISO 80000-4:2019
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SIST EN ISO 80000-4:2019
INTERNATIONAL ISO
STANDARD 80000-4
Second edition
2019-08
Quantities and units —
Part 4:
Mechanics
Grandeurs et unités —
Partie 4: Mécanique
Reference number
ISO 80000-4:2019(E)
ISO 2019
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SIST EN ISO 80000-4:2019
ISO 80000-4:2019(E)
COPYRIGHT PROTECTED DOCUMENT
© ISO 2019

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
Fax: +41 22 749 09 47
Email: copyright@iso.org
Website: www.iso.org
Published in Switzerland
ii © ISO 2019 – All rights reserved
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SIST EN ISO 80000-4:2019
ISO 80000-4:2019(E)
Contents Page

Foreword ........................................................................................................................................................................................................................................iv

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

2 Normative references ...................................................................................................................................................................................... 1

3 Terms and definitions ..................................................................................................................................................................................... 1

Bibliography .............................................................................................................................................................................................................................13

Alphabetical index .............................................................................................................................................................................................................14

© ISO 2019 – All rights reserved iii
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SIST EN ISO 80000-4:2019
ISO 80000-4:2019(E)
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).

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 www. iso.o rg/patents).

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 12, Quantities and units, in collaboration

with Technical Committee IEC/TC 25, Quantities and units.

This second edition cancels and replaces the first edition (ISO 80000-4:2006), which has been

technically revised.
The main changes compared to the previous edition are as follows:
— the table giving the quantities and units has been simplified;
— some definitions and the remarks have been stated physically more precisely.

A list of all parts in the ISO 80000 and IEC 80000 series can be found on the ISO and IEC websites.

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.
iv © ISO 2019 – All rights reserved
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SIST EN ISO 80000-4:2019
INTERNATIONAL STANDARD ISO 80000-4:2019(E)
Quantities and units —
Part 4:
Mechanics
1 Scope

This document gives names, symbols, definitions and units for quantities of mechanics. Where

appropriate, conversion factors are also given.
2 Normative references
There are no normative references in this document.
3 Terms and definitions

Names, symbols, definitions and units for quantities used in mechanics are given in Table 1.

ISO and IEC maintain terminological databases for use in standardization at the following addresses:

— ISO Online browsing platform: available at https: //www .iso .org/obp
— IEC Electropedia: available at http: //www .electropedia .org/
© ISO 2019 – All rights reserved 1
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SIST EN ISO 80000-4:2019
ISO 80000-4:2019(E)
2 © ISO 2019 – All rights reserved
Table 1 — Quantities and units used in mechanics
Item No. Quantity Unit Remarks
Name Symbol Definition

4-1 mass m property of a body which expresses itself in terms of iner- kg The kilogram (kg) is one of the seven

tia with regard to changes in its state of motion as well as base units (see ISO 80000-1) of the

its gravitational attraction to other bodies International System of Units, the SI.

See also IEC 60050-113.

4-2 mass density, quantity representing the spatial distribution of mass of a kg m

ρ , ρ
continuous material:
density
ρ()r =
where m is mass of the material contained in an infinitesi-
mal domain at point r and V is volume of this domain
−1 3
4-3 specific volume v kg m
reciprocal of mass density ρ (item 4-2):
4-4 relative mass density, d 1 Conditions and material should be
quotient of mass density of a substance ρ and mass
specified for the reference substance.
relative density
density of a reference substance ρ :

4-5 surface mass density, quantity representing the areal distribution of mass of a kg m The name “grammage” should not be

continuous material: used for this quantity.
surface density
ρ ()r =
where m is the mass of the material at position r and A is
area
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SIST EN ISO 80000-4:2019
ISO 80000-4:2019(E)
© ISO 2019 – All rights reserved 3
Table 1 (continued)
Item No. Quantity Unit Remarks
Name Symbol Definition

4-6 linear mass density, quantity representing the linear distribution of mass of a kg m

continuous material:
linear density
ρ ()r =
where m is the mass of the material at position r and l is
length

4-7 moment of inertia tensor (ISO 80000-2) quantity representing rotational kg m The calculation of the value requires

inertia of a rigid body relative to a fixed centre of rotation an integration.
expressed by the tensor product:
LJ= ωω
where L is angular momentum (ISO 80000-3) of the body
relative to the reference point and ωω is its angular velocity
(ISO 80000-3)
4-8 momentum kg m s
p product of mass m (item 4-1) of a body and velocity v
(ISO 80000-3) of its centre of mass:
p=mv
4-9.1 force vector (ISO 80000-2) quantity describing interaction be- N
tween bodies or particles
kg m s

4-9.2 weight force (item 4-9.1) acting on a body in the gravitational field N In colloquial language, the name

of Earth: “weight” continues to be used where
kg m s
“mass” is meant. This practice should
Fg=m
be avoided.

where m (item 4-1) is the mass of the body and g is the Weight is an example of a gravitational

force. Weight comprises not only the
local acceleration of free fall (ISO 80000-3)
local gravitational force but also the
local centrifugal force due to the rota-
tion of the Earth.

4-9.3 static friction force, force (item 4-9.1) resisting the motion before a body starts N For the static friction coefficient, see

to slide on a surface item 4-23.1.
static friction kg m s

4-9.4 kinetic friction force, force (item 4-9.1) resisting the motion when a body slides N For the kinetic friction factor, see

on a surface item 4-23.2.
dynamic friction force kg m s
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SIST EN ISO 80000-4:2019
ISO 80000-4:2019(E)
4 © ISO 2019 – All rights reserved
Table 1 (continued)
Item No. Quantity Unit Remarks
Name Symbol Definition

4-9.5 rolling resistance, force (item 4-9.1) resisting the motion when a body rolls on N For the rolling resistance factor, see

a surface item 4-23.3.
rolling drag, kg m s
rolling friction force

4-9.6 drag force force (item 4-9.1) resisting the motion of a body in a fluid N For the drag coefficient, see item 4-23.4.

kg m s

4-10 impulse vector (ISO 80000-2) quantity describing the effect of force N s For a time interval [t , t ],

1 2
acting during a time interval:
kg m s
Iptt, = tt−pp=D
() () ()
12 12
where p is momentum (item 4-8).
IF= dt
where F is force (item 4-9.1), t is time (ISO 80000-3) and
[t , t ] is considered time interval
1 2
2 −1

4-11 angular momentum vector (ISO 80000-2) quantity described by the vector kg m s

product:
Lr=×p
where r is position vector (ISO 80000-3) with respect to
the axis of rotation and p is momentum (item 4-8)

4-12.1 moment of force vector (ISO 80000-2) quantity described by the vector N m The bending moment of force is

product:
2 −2 denoted by M .
kg m s
Mr=×F
where r is position vector (ISO 80000-3) with respect to
the axis of rotation and F is force (item 4-9.1)

4-12.2 torque T, M quantity described by the scalar product: N m For example, torque is the twisting

moment of force with respect to the
2 −2
kg m s
T=⋅Me
longitudinal axis of a beam or shaft.
where M is moment of force (item 4-12.1) and e is unit
vector of direction with respect to which the torque is
considered
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SIST EN ISO 80000-4:2019
ISO 80000-4:2019(E)
© ISO 2019 – All rights reserved 5
Table 1 (continued)
Item No. Quantity Unit Remarks
...

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