SIST EN ISO 10077-2:2017

Thermal performance of windows, doors and shutters - Calculation of thermal transmittance - Part 2: Numerical method for frames (ISO 10077-2:2017)

Revision of EN ISO 10077-2:2012
This part of ISO 10077 specifies a method and gives reference input data for the calculation of the thermal transmittance of frame profiles and of the linear thermal transmittance of their junction with glazing or opaque panels.
The method can also be used to evaluate the thermal resistance of shutter profiles and the thermal characteristics of roller shutter boxes and similar components (e.g. blinds).
This part of ISO 10077 also gives criteria for the validation of numerical methods used for the calculation.
This part of ISO 10077 does not include effects of solar radiation, heat transfer caused by air leakage or three-dimensional heat transfer such as pin point metallic connections. Thermal bridge effects between the frame and the building structure are not included.
No change to the scope is expected. There will be editorial revision (new structure) in the context of Mandat M/480 and also technical revison of the existing standard.

Wärmetechnisches Verhalten von Fenstern, Türen und Abschlüssen - Berechnung des Wärmedurchgangskoeffizienten - Teil 2: Numerisches Verfahren für Rahmen (ISO 10077-2:2017)

Performance thermique des fenêtres, portes et fermetures - Calcul du coefficient de transmission thermique - Partie 2 : Méthode numérique pour les encadrementes (ISO 10077-2:2017)

L'ISO 10077-2:2017 donne une méthode et des données d'entrée de référence pour le calcul du coefficient de transmission thermique des encadrements et du coefficient de transmission thermique linéique de leurs jonctions avec les vitrages ou les panneaux opaques.
Cette méthode peut également être utilisée pour évaluer la résistance thermique d'encadrements de fermetures et les caractéristiques thermiques de coffres de volet roulant et de composants similaires (par exemple stores).
L'ISO 10077-2:2017 fournit également des critères pour la validation des méthodes numériques utilisées dans ce calcul.
L'ISO 10077-2:2017 ne couvre pas les effets du rayonnement solaire ni le transfert thermique provoqué par des infiltrations d'air ou les transferts thermiques tridimensionnels créés par exemple par des liaisons métalliques ponctuelles. Les effets des ponts thermiques entre les encadrements et la structure du bâtiment ne sont pas pris en compte.
NOTE       Le Tableau 1 de l'Introduction indique la position relative de l'ISO 10077-2:2017 dans la série de normes PEB dans le contexte de la structure modulaire définie dans l'ISO 52000‑1.

Toplotne značilnosti oken, vrat in polken - Izračun toplotne prehodnosti - 2. del: Računska metoda za okvirje (ISO 10077-2:2017)

Ta del standarda ISO 10077 določa metodo in podaja referenčne vhodne podatke za izračun toplotne prehodnosti profilov okvirjev in linearne toplotne prehodnosti njihovega spoja z zasteklitvijo ali prosojnimi ploščami. Metodo je mogoče uporabiti tudi za oceno toplotne upornosti profilov polken ter toplotnih značilnosti roletnih škatel in podobnih sestavnih delov (npr. žaluzij).  Ta del standarda ISO 10077 določa tudi merila za ovrednotenje računskih metod za izračun.  Ta del standarda ISO 10077 ne zajema učinkov sončnega sevanja, prenosa toplote zaradi puščanja zraka ali tridimenzionalnega prenosa toplote, kot so točkaste kovinske povezave. Učinki toplotnih mostov med okvirjem in strukturo stavbe niso zajeti.  Področje uporabe predvidoma ne bo spremenjeno. Opravljeni bosta uredniška revizija (nova struktura) v kontekstu mandata M/480 in tehnična revizija obstoječega standarda.

General Information

• Status: Published
• Public Enquiry End Date: 29-Sep-2015
• Publication Date: 15-Aug-2017
• ICS: 91.060.50 - Doors and windows
• ICS: 91.120.10 - Thermal insulation of buildings
• Technical Committee: TOP - Thermal insulation
• Current Stage: 6060 - National Implementation/Publication (Adopted Project)
• Start Date: 01-Aug-2017
• Due Date: 06-Oct-2017
• Completion Date: 16-Aug-2017
• Directive: 2010/31/EU - Directive 2010/31/eu of the European Parliament and of the Council of 19 May 2010 on the energy performance of buildings (recast)
• Mandate: M/480 - Mandate to CEN, CENELEC and ETSI for the elaboration and adoption of standards for a methodology calculating the integrated energy performance of buildings and promoting the energy efficiency of buildings, in accordance with the terms set in the recast of the Directive on the energy performance buildings (2010/31/EU)
• Ref Project: EN ISO 10077-2:2017 - Thermal performance of windows, doors and shutters - Calculation of thermal transmittance - Part 2: Numerical method for frames (ISO 10077-2:2017)

Relations

• Replaces: SIST EN ISO 10077-2:2012/AC:2012 - Thermal performance of windows, doors and shutters - Calculation of thermal transmittance - Part 2: Numerical method for frames - Technical Corrigendum 1 (ISO 10077-2:2012/Cor 1:2012)
• Effective Date: 01-Sep-2017
• Replaces: SIST EN ISO 10077-2:2012 - Thermal performance of windows, doors and shutters - Calculation of thermal transmittance - Part 2: Numerical method for frames (ISO 10077-2:2012)
• Effective Date: 01-Sep-2017
• Amended By: SIST EN ISO 10077-2:2017/oprA1:2023 - Thermal performance of windows, doors and shutters - Calculation of thermal transmittance - Part 2: Numerical method for frames - Amendment 1 (ISO 10077 2:2017/DAM 1:2023)
• Effective Date: 20-Oct-2021
• Replaces: SIST EN ISO 10077-2:2012 - Thermal performance of windows, doors and shutters - Calculation of thermal transmittance - Part 2: Numerical method for frames (ISO 10077-2:2012)
• Effective Date: 08-Jun-2022

Standards Content (Sample)

SLOVENSKI STANDARD
SIST EN ISO 10077-2:2017
01-september-2017
1DGRPHãþD
SIST EN ISO 10077-2:2012
SIST EN ISO 10077-2:2012/AC:2012
7RSORWQH]QDþLOQRVWLRNHQYUDWLQSRONHQ,]UDþXQWRSORWQHSUHKRGQRVWLGHO
5DþXQVNDPHWRGD]DRNYLUMH,62
Thermal performance of windows, doors and shutters - Calculation of thermal
transmittance - Part 2: Numerical method for frames (ISO 10077-2:2017)
Wärmetechnisches Verhalten von Fenstern, Türen und Abschlüssen - Berechnung des
Wärmedurchgangskoeffizienten - Teil 2: Numerisches Verfahren für Rahmen (ISO 10077
-2:2017)
Performance thermique des fenêtres, portes et fermetures - Calcul du coefficient de
transmission thermique - Partie 2 : Méthode numérique pour les encadrementes (ISO
10077-2:2017)
Ta slovenski standard je istoveten z: EN ISO 10077-2:2017
ICS:
91.060.50 Vrata in okna Doors and windows
91.120.10 Toplotna izolacija stavb Thermal insulation of
buildings
SIST EN ISO 10077-2:2017 en
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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SIST EN ISO 10077-2:2017

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SIST EN ISO 10077-2:2017


EN ISO 10077-2
EUROPEAN STANDARD

NORME EUROPÉENNE

July 2017
EUROPÄISCHE NORM
ICS 91.060.50; 91.120.10 Supersedes EN ISO 10077-2:2012
English Version

Thermal performance of windows, doors and shutters -
Calculation of thermal transmittance - Part 2: Numerical
method for frames (ISO 10077-2:2017)
Performance thermique des fenêtres, portes et Wärmetechnisches Verhalten von Fenstern, Türen und
fermetures - Calcul du coefficient de transmission Abschlüssen - Berechnung des
thermique - Partie 2 : Méthode numérique pour les Wärmedurchgangskoeffizienten - Teil 2: Numerisches
encadrementes (ISO 10077-2:2017) Verfahren für Rahmen (ISO 10077-2:2017)
This European Standard was approved by CEN on 27 February 2017.

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, Former Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania,
Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, 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: Avenue Marnix 17, B-1000 Brussels
© 2017 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 10077-2:2017 E
worldwide for CEN national Members.

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SIST EN ISO 10077-2:2017
EN ISO 10777-2:2017 (E)
Contents Page
European foreword . 3

2

---------------------- Page: 4 ----------------------

SIST EN ISO 10077-2:2017
EN ISO 10777-2:2017 (E)
European foreword
This document (EN ISO 10777-2:2017) has been prepared by Technical Committee CEN/TC 89
“Thermal performance of buildings and building components”, the secretariat of which is held by SIS, in
collaboration with Technical Committee ISO/TC 163 "Thermal performance and energy use in the built
environment".
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 January 2018 and conflicting national standards shall
be withdrawn at the latest by January 2018.
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 has been prepared under a mandate given to CEN by the European Commission and the
European Free Trade Association.
This document is part of the set of standards on the energy performance of buildings (the set of EPB
standards) and has been prepared under a mandate given to CEN by the European Commission and the
European Free Trade Association (Mandate M/480, see reference [EF1] below), and supports essential
requirements of EU Directive 2010/31/EC on the energy performance of buildings (EPBD, [EF2]).
In case this standard is used in the context of national or regional legal requirements, mandatory
choices may be given at national or regional level for such specific applications, in particular for the
application within the context of EU Directives transposed into national legal requirements.
Further target groups are users of the voluntary common European Union certification scheme for the
energy performance of non-residential buildings (EPBD art.11.9) and any other regional (e.g. Pan
European) parties wanting to motivate their assumptions by classifying the building energy
performance for a dedicated building stock.
This document supersedes EN ISO 10077-2:2012.
This document has been prepared under a mandate given to CEN by the European Commission and the
European Free Trade Association.
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, Former Yugoslav Republic of Macedonia, France,
Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands,
Norway, Poland, Portugal, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and
the United Kingdom.
References:
[EF1] Mandate M480, Mandate to CEN, CENELEC and ETSI for the elaboration and adoption of
standards for a methodology calculating the integrated energy performance of buildings and
promoting the energy efficiency of buildings, in accordance with the terms set in the recast of the
Directive on the energy performance of buildings (2010/31/EU) of 14th December 2010
3

---------------------- Page: 5 ----------------------

SIST EN ISO 10077-2:2017
EN ISO 10777-2:2017 (E)
th
[EF2] EPBD, Recast of the Directive on the energy performance of buildings (2010/31/EU) of 14
December 2010
Endorsement notice
The text of ISO 10777-2:2017 has been approved by CEN as EN ISO 10777-2:2017 without any
modification.
4

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SIST EN ISO 10077-2:2017
INTERNATIONAL ISO
STANDARD 10077-2
Third edition
2017-06
Thermal performance of windows,
doors and shutters — Calculation of
thermal transmittance —
Part 2:
Numerical method for frames
Performance thermique des fenêtres, portes et fermetures — Calcul
du coefficient de transmission thermique —
Partie 2: Méthode numérique pour les encadrements
Reference number
ISO 10077-2:2017(E)
©
ISO 2017

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SIST EN ISO 10077-2:2017
ISO 10077-2:2017(E)

COPYRIGHT PROTECTED DOCUMENT
© ISO 2017, Published in Switzerland
All rights reserved. Unless otherwise specified, 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
Ch. de Blandonnet 8 • CP 401
CH-1214 Vernier, Geneva, Switzerland
Tel. [phone]
Fax [phone]
[e-mail]
www.iso.org
ii © ISO 2017 – All rights reserved

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SIST EN ISO 10077-2:2017
ISO 10077-2:2017(E)

Contents Page
Foreword .v
Introduction .vi
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 2
4 Symbols and subscripts . 2
4.1 Symbols . 2
4.2 Subscripts . 3
5 Calculation method . 3
5.1 Output of the method . 3
5.2 General principle . 3
5.3 Validation of the calculation programs . 4
6 Calculation of thermal transmittance . 4
6.1 Output data . 4
6.2 Calculation time intervals . 4
6.3 Input data . 4
6.3.1 Geometrical characteristics . 4
6.3.2 Thermal conductivity values . 5
6.3.3 Emissivity of surfaces . 6
6.3.4 General boundaries . 6
6.3.5 Boundaries for roller shutter boxes . 6
6.4 Calculation procedures . 7
6.4.1 Determination of thermal transmittance . 7
6.4.2 Treatment of cavities using the radiosity method . 8
6.4.3 Treatment of cavities using the single equivalent thermal conductivity method 18
7 Report .24
7.1 Contents of report .24
7.2 Geometrical data .24
7.3 Thermal data . .25
7.3.1 Thermal conductivity . .25
7.3.2 Emissivity .25
7.3.3 Boundary conditions .25
7.4 Presentation of results .25
Annex A (normative) Input and method selection data sheet — Template .26
Annex B (informative) Input and method selection data sheet — Default choices .28
Annex C (normative) Regional references in line with ISO Global Relevance Policy .30
Annex D (normative) Thermal conductivity and other characteristics of selected materials .31
Annex E (normative) Surface resistances .34
Annex F (normative) Determination of the thermal transmittance .36
Annex G (normative) General examples for the validation of calculation programs using the
radiosity method for the treatment of cavities .40
Annex H (normative) Examples of window frames for the validation of calculation
programs using the radiosity method for the treatment of cavities .45
Annex I (normative) Examples of window frames for the validation of calculation programs
using the single equivalent thermal conductivity method for the treatment of cavities .57
Annex J (normative) Wood species listed in Annex D .68
© ISO 2017 – All rights reserved iii

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SIST EN ISO 10077-2:2017
ISO 10077-2:2017(E)

Bibliography .70
iv © ISO 2017 – All rights reserved

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SIST EN ISO 10077-2:2017
ISO 10077-2:2017(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 .org/ 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 on 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 the following
URL: w w w . i s o .org/ iso/ foreword .html.
ISO 10077-2 was prepared by the European Committee for Standardization (CEN) Technical Committee
CEN/TC 89, Thermal performance of buildings and building components, in collaboration with ISO
Technical Committee ISO/TC 163, Thermal performance and energy use in the built environment,
Subcommittee SC 2, Calculation methods, in accordance with the agreement on technical cooperation
between ISO and CEN (Vienna Agreement).
This third edition cancels and replaces the second edition (ISO 10077-2:2012), which has been
technically revised to comply with the requirements for the EPB set of standards. It also incorporates
the Technical Corrigendum ISO 10077-2:2012/Cor 1:2012.
In addition, Clause 6 has been technically revised by
— adding a new approach for the treatment of cavities,
— separating conduction/convection and radiation, and
— introducing the radiosity method.
Annex H and Annex G were also added.
A list of all parts in the ISO 10077 series can be found on the ISO website.
© ISO 2017 – All rights reserved v

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SIST EN ISO 10077-2:2017
ISO 10077-2:2017(E)

Introduction
This document is part of a series aimed at the international harmonization of the methodology for
assessing the energy performance of buildings. Throughout, this series is referred to as a “set of EPB
standards”.
All EPB standards follow specific rules to ensure overall consistency, unambiguity and transparency.
All EPB standards provide a certain flexibility with regard to the methods, the required input data and
references to other EPB standards, by the introduction of a normative template in Annex A and Annex B
with informative default choices.
For the correct use of this document, a normative template is given in Annex A to specify these choices.
Informative default choices are provided in Annex B.
The main target groups for this document are architects, engineers and regulators.
Use by or for regulators: In case ISO 52000-1 is used in the context of national or regional legal
requirements, mandatory choices may be given at national or regional level for such specific
applications. These choices (either the informative default choices from Annex B or choices adapted to
national/regional needs, but in any case following the template of this Annex A) can be made available
as national annex or as separate (e.g. legal) document (national data sheet).
NOTE 1 So in this case:
— the regulators will specify the choices;
— the individual user will apply the document to assess the energy performance of a building, and thereby use
the choices made by the regulators
Topics addressed in this document can be subject to public regulation. Public regulation on the same
topics can override the default values in Annex B of this document. Public regulation on the same topics
can even, for certain applications, override the use of this document. Legal requirements and choices
are in general not published in standards but in legal documents. In order to avoid double publications
and difficult updating of double documents, a national annex may refer to the legal texts where national
choices have been made by public authorities. Different national annexes or national data sheets are
possible, for different applications.
It is expected, if the default values, choices and references to other EPB standards in Annex B are not
followed due to national regulations, policy or traditions, that:
— national or regional authorities prepare data sheets containing the choices and national or regional
values, according to the model in Annex A. In this case a national annex (e.g. NA) is recommended,
containing a reference to these data sheets;;
— or, by default, the national standards body will consider the possibility to add or include a national
annex in agreement with the template of Annex A, in accordance to the legal documents that give
national or regional values and choices.
Further target groups are parties wanting to motivate their assumptions by classifying the building
energy performance for a dedicated building stock.
More information is provided in the Technical Report (ISO/TR 52022-2) accompanying this document.
The framework for overall EPB includes:
a) common terms, definitions and symbols;
b) building and assessment boundaries;
c) building partitioning into space categories;
vi © ISO 2017 – All rights reserved

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SIST EN ISO 10077-2:2017
ISO 10077-2:2017(E)

d) methodology for calculating the EPB (formulae on energy used, delivered, produced and/or
exported at the building site and nearby);
e) a set of overall formulae and input-output relations, linking the various elements relevant for the
assessment of the overall EPB;
f) general requirements for EPB dealing with partial calculations;
g) rules for the combination of different spaces into zones;
h) performance indicators;
i) methodology for measured energy performance assessment.
ISO 10077 consists of two parts. This document is intended to provide calculated values of the thermal
characteristics of frame profiles, suitable for use as input data in the calculation method of the thermal
transmittance of windows, doors and shutters given in ISO 10077-1. It is an alternative to the hot box
test method specified in EN 12412–2. In some cases, the hot box method can be preferred, especially if
physical and geometrical data are not available or if the profile is of complicated geometrical shape.
Although the method in this document basically applies to vertical frame profiles, it is an acceptable
approximation for horizontal frame profiles (e.g. sill and head sections) and for products used in sloped
positions (e.g. roof windows). For calculations made with the glazing units in place, the heat flow
pattern and the temperature field within the frame are useful by-products of this calculation.
The ISO 10077 series does not cover building facades and curtain walling, which are covered in
ISO 12631.
Table 1 shows the relative position of this document within the set of EPB standards in the context of
the modular structure as set out in ISO 52000-1.
NOTE 2 In ISO/TR 52000-2, the same table can be found, with, for each module, the numbers of the relevant
EPB standards and accompanying technical reports that are published or in preparation.
NOTE 3 The modules represent EPB standards, although one EPB standard could cover more than one module
and one module could be covered by more than one EPB standard, for instance, a simplified and a detailed method
respectively.
© ISO 2017 – All rights reserved vii

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SIST EN ISO 10077-2:2017
ISO 10077-2:2017(E)

Table 1 — Position of this document (in casu M2–5), within the modular structure of the set of
EPB standards
Building
Overarching Technical building systems
(as such)
Buil
De Do ding
Hu
hu mes auto
Sub Ven mi PV,
Descrip Descrip Descrip Hea Coo mi tic Ligh ma
mo tila difi wind,
tions tions tions ting ling difi hot ting tion
dule tion ca .
ca wat and
tion
tion er cont
rol
sub1 M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11
1 General General General
Common
terms and
definitions, Building
a
2 Needs
symbols, energy needs
units and
subscripts
(Free) Indoor
Maximum
conditions
3 Applications load and
without
power
systems
Ways to Ways to Ways to
express express express
4
energy energy energy
performance performance performance
Building
categories Heat transfer
ISO Emission
5 and by transmis-
10077-2 and control
building sion
boundaries
Heat transfer
Building
by infiltra-
occupancy Distribution
6 tion
operating and control
and ventila-
conditions
tion
Aggregation
of
energy ser- Internal Storage
7
vices heat gains and control
and energy
carriers
Building Solar Generation
8
zoning heat gains and control
Load
Building
Calculated dispatching
dynamics
9 energy and
(thermal
performance operating
mass)
conditions
a
The shaded modules are not applicable.
viii © ISO 2017 – All rights reserved

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SIST EN ISO 10077-2:2017
ISO 10077-2:2017(E)

Table 1 (continued)
Building
Overarching Technical building systems
(as such)
Buil
De Do ding
Hu
hu mes auto
Sub Ven mi PV,
Descrip Descrip Descrip Hea Coo mi tic Ligh ma
mo tila difi wind,
tions tions tions ting ling difi hot ting tion
dule tion ca .
ca wat and
tion
tion er cont
rol
sub1 M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11
Measured Measured Measured
10 energy energy energy
performance performance performance
11 Inspection Inspection Inspection
Ways to
express
12 BMS
indoor com-
fort
External
13 environment
conditions
Economic
14
calculation
a
The shaded modules are not applicable.
© ISO 2017 – All rights reserved ix

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SIST EN ISO 10077-2:2017

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SIST EN ISO 10077-2:2017
INTERNATIONAL STANDARD ISO 10077-2:2017(E)
Thermal performance of windows, doors and shutters —
Calculation of thermal transmittance —
Part 2:
Numerical method for frames
1 Scope
This document specifies a method and gives reference input data for the calculation of the thermal
transmittance of frame profiles and of the linear thermal transmittance of their junction with glazing
or opaque panels.
The method can also be used to evaluate the thermal resistance of shutter profiles and the thermal
characteristics of roller shutter boxes and similar components (e.g. blinds).
This document also gives criteria for the validation of numerical methods used for the calculation.
This document does not include effects of solar radiation, heat transfer caused by air leakage or three-
dimensional heat transfer such as pinpoint metallic connections. Thermal bridge effects between the
frame and the building structure are not included.
NOTE Table 1 in the Introduction shows the relative position of this document within the set of EPB
standards in the context of the modular structure as set out in ISO 52000-1.
2 Normative references
The following documents are referred to in 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 7345, Thermal insulation — Physical quantities and definitions
ISO 10211, Thermal bridges in building construction — Heat flows and surface temperatures — Detailed
calculations
ISO 10292, Glass in building — Calculation of steady-state U values (thermal transmittance) of multiple
glazing
ISO 10456:2007, Building materials and products — Hygrothermal properties — Tabulated design values
and procedures for determining declared and design thermal values
ISO 12567-2:2005, Thermal performance of windows and doors — Determinat
...

SLOVENSKI STANDARD
oSIST prEN ISO 10077-2:2015
01-september-2015
7RSORWQHODVWQRVWLRNHQYUDWLQSRONHQ,]UDþXQWRSORWQHSUHKRGQRVWLGHO
5DþXQVNDPHWRGD]DRNYLUMH,62',6
Thermal performance of windows, doors and shutters - Calculation of thermal
transmittance - Part 2: Numerical method for frames (ISO/DIS 10077-2:2015)
Wärmetechnisches Verhalten von Fenstern, Türen und Abschlüssen - Berechnung des
Wärmedurchgangskoeffizienten - Teil 2: Numerisches Verfahren für Rahmen (ISO/DIS
10077-2:2015)
Performance thermique des fenêtres, portes et fermetures - Calcul du coefficient de
transmission thermique - Partie 2 : Méthode numérique pour les encadrementes
(ISO/DIS 10077-2:2015)
Ta slovenski standard je istoveten z: prEN ISO 10077-2
ICS:
91.060.50 Vrata in okna Doors and windows
91.120.10 Toplotna izolacija stavb Thermal insulation
oSIST prEN ISO 10077-2:2015 en,fr,de
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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oSIST prEN ISO 10077-2:2015

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oSIST prEN ISO 10077-2:2015
DRAFT INTERNATIONAL STANDARD
ISO/DIS 10077-2
ISO/TC 163/SC 2 Secretariat: SN
Voting begins on: Voting terminates on:
2015-07-02 2015-10-02
Thermal performance of windows, doors and shutters —
Calculation of thermal transmittance —
Part 2:
Numerical method for frames
Performance thermique des fenêtres, portes et fermetures — Calcul du coefficient de transmission
thermique —
Partie 2: Méthode numérique pour les encadrements
ICS: 91.060.50; 91.120.10
ISO/CEN PARALLEL PROCESSING
This draft has been developed within the European Committee for Standardization
(CEN), and processed under the CEN lead mode of collaboration as defined in the
Vienna Agreement.
This draft is hereby submitted to the ISO member bodies and to the CEN member
bodies for a parallel five month enquiry.
Should this draft be accepted, a final draft, established on the basis of comments
received, will be submitted to a parallel two-month approval vote in ISO and
THIS DOCUMENT IS A DRAFT CIRCULATED
formal vote in CEN.
FOR COMMENT AND APPROVAL. IT IS
THEREFORE SUBJECT TO CHANGE AND MAY
NOT BE REFERRED TO AS AN INTERNATIONAL
STANDARD UNTIL PUBLISHED AS SUCH.
To expedite distribution, this document is circulated as received from the
IN ADDITION TO THEIR EVALUATION AS
committee secretariat. ISO Central Secretariat work of editing and text
BEING ACCEPTABLE FOR INDUSTRIAL,
composition will be undertaken at publication stage.
TECHNOLOGICAL, COMMERCIAL AND
USER PURPOSES, DRAFT INTERNATIONAL
STANDARDS MAY ON OCCASION HAVE TO
BE CONSIDERED IN THE LIGHT OF THEIR
POTENTIAL TO BECOME STANDARDS TO
WHICH REFERENCE MAY BE MADE IN
Reference number
NATIONAL REGULATIONS.
ISO/DIS 10077-2:2015(E)
RECIPIENTS OF THIS DRAFT ARE INVITED
TO SUBMIT, WITH THEIR COMMENTS,
NOTIFICATION OF ANY RELEVANT PATENT
RIGHTS OF WHICH THEY ARE AWARE AND TO
©
PROVIDE SUPPORTING DOCUMENTATION. ISO 2015

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oSIST prEN ISO 10077-2:2015
ISO/DIS 10077-2:2015(E)

COPYRIGHT PROTECTED DOCUMENT
© ISO 2015, Published in Switzerland
All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized otherwise in any form
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ii © ISO 2015 – All rights reserved

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oSIST prEN ISO 10077-2:2015
ISO/DIS 10077-2
Contents Page
Foreword . v
Introduction . vi
1 Scope . 1
2 Normative references . 3
3 Terms and definitions . 3
4 Symbols and abbreviations . 3
4.1 Symbols . 3
4.2 Subscripts . 4
5 Calculation method . 4
5.1 Output of the method . 4
5.2 General principle . 5
5.3 Validation of the calculation programs . 5
6 Calculation of thermal transmittance . 5
6.1 Output data . 5
6.2 Calculation time steps . 5
6.3 Input data. 6
6.3.1 Geometrical characteristics . 6
6.3.2 Thermal conductivity values . 6
6.3.3 Emissivity of surfaces . 7
6.3.4 General Boundaries . 7
6.3.5 Boundaries for roller shutter boxes . 7
6.4 Calculation procedure . 10
6.4.1 Determination of thermal transmittance . 10
6.4.2 Treatment of cavities . 10
7 Report . 19
7.1 Contents of report . 19
7.2 Geometrical data . 19
7.3 Thermal data . 20
7.3.1 Thermal conductivity . 20
7.3.2 Emissivity . 20
7.3.3 Boundary conditions . 20
7.4 Presentation of results . 20
Annex A (normative) Template for input data and choices . 21
A.1 Introduction . 21
A.2 Calculation of thermal transmittance . 21
Annex B (informative) Default input data and choices . 22
B.1 Introduction . 22
B.2 Calculation of thermal transmittance . 22
Annex C (normative) Parallel routes in normative references . 23
C.1 Introduction . 23
Annex D (normative) Thermal conductivity and other characteristics of selected materials . 24
Annex E (normative) Surface resistances . 27
Annex F (normative) Determination of the thermal transmittance . 29
F.1 Thermal transmittance of the frame section. 29
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oSIST prEN ISO 10077-2:2015
ISO/DIS 10077-2
F.2 Linear thermal transmittance of the junction with the glazing or opaque panel . 30
Annex G (normative) General examples for the validation of calculation programs . 33
G.1 Concentric cylinders . 33
G.2 Vacuum within a square cavity . 35
G.3 Half square column with specified surface temperatures . 36
G.4 Air cavity . 37
Annex H (normative) Examples of window frames for the validation of calculation programs . 38
H.1 General . 38
H.2 Figures . 38
H.3 Results . 50
Annex I (normative) Wood species listed in Annex A . 51
Bibliography . 54

iv © ISO 2015 – All rights reserved

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oSIST prEN ISO 10077-2:2015
ISO/DIS 10077-2
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.
International Standards are drafted in accordance with the rules given in the ISO/IEC Directives, Part 2.
The main task of technical committees is to prepare International Standards. Draft International Standards
adopted by the technical committees are circulated to the member bodies for voting. Publication as an
International Standard requires approval by at least 75 % of the member bodies casting a vote.
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.
ISO 10077-2 was prepared by Technical Committee ISO/TC 163, Thermal performance and energy use in the
built environment, Subcommittee SC 2, and by Technical Committee CEN/TC 89, Thermal performance of
buildings and building components in collaboration.
This third edition cancels and replaces the second edition (ISO 10077-2:2012), clause 6, annex C and D have
been technically revised and a new annex D is introduced. The necessary editorial revisions were made to
comply with the requirements for the EPB set of standards.
ISO 10077 consists of the following parts, under the general title Thermal performance of windows, doors and
shutters — Calculation of thermal transmittance:
 Part 1: General
 Part 2: Numerical method for frames
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oSIST prEN ISO 10077-2:2015
ISO/DIS 10077-2
Introduction
This Standard is part of a series of standards aiming at international harmonisation of the methodology for the
assessment of the energy performance of buildings, called "EPB set of standards".
As part of the "EPB set of standards" it complies with the requirements for the set of basic EPB documents
(EN 15603 (see Normative references), CEN/TS 16628 and CEN/TS 16629 (see bibliography [1] and [2])
developed under a mandate given to CEN by the European Commission and the European Free Trade
Association (Mandate M/480), and supports essential requirements of EU Directive 2010/31/EC on the energy
performance of buildings (EPBD).
Where appropriate, the method(s) in each of the EPB standards may provide simplified procedures and/or
default values as alternative options.
 Without further specification, these simplified procedures and/or default values may be used without
restricting criteria.
NOTE 1 For instance because these are conservative procedures or values.
NOTE 2 The term 'default values' should not be confused with 'informative values'. If the values are given in the
normative part of the standard, they are normative values. See also next options.
 In other cases, these simplified procedures and/or default values may be intended to be used only for
situations where there is limited information. This may be the case in existing buildings with limited
possibilities to acquire all input data. In particular when the EPB set of standards is used in the context of
national or regional building regulations, specific criteria when the simplified method and/or default data
are allowed, may be given at national or regional level, following the template in Annex A. Annex B
provides (informative) default choices.
The set of EPB standards prepared under the responsibility of ISO/TC 163/SC 2 (Thermal performance and
energy use in the built environment, Calculation methods) in collaboration with CEN/TC 89 range from
calculation procedures on the overall energy use and energy performance of buildings, calculation procedures
on the indoor temperature in buildings (e.g. in case of no space heating or cooling) and calculation methods
covering the performance and thermal, hygrothermal, solar and visual characteristics of specific parts of the
building and specific building elements and components, such as opaque envelope elements, ground floor,
windows and facades. ISO/TC 163/SC 2 cooperates with other TC's for the details on e.g. appliances,
technical building systems and indoor environment.
ISO 10077 Thermal performance of windows, doors and shutters – Calculation of thermal transmittance
consists of two parts. The method in Part 2 Numerical method for frames is intended to provide calculated
values of the thermal characteristics of frame profiles, suitable to be used as input data in the calculation
method of the thermal transmittance of windows, doors and shutters given in Part 1 "General". It is an
alternative to the test method specified in EN 12412–2 (see Bibliography). In some cases, the hot box method
can be preferred, especially if physical and geometrical data are not available or if the profile is of complicated
geometrical shape.
Although the method in this Part 2 basically applies to vertical frame profiles, it is an acceptable approximation
for horizontal frame profiles (e.g. sill and head sections) and for products used in sloped positions (e.g. roof
windows). For calculations made with the glazing units in place, the heat flow pattern and the temperature
field within the frame are useful by-products of this calculation.
The standard does not cover building facades and curtain walling, for which see ISO 12631, Thermal
performance of curtain walling – Calculation of thermal transmittance or ISO 12631, Thermal performance of
curtain walling – Calculation of thermal transmittance.
vi © ISO 2015 – All rights reserved

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oSIST prEN ISO 10077-2:2015
DRAFT INTERNATIONAL STANDARD ISO/DIS 10077-2

Thermal performance of windows, doors and shutters —
Calculation of thermal transmittance — Part 2: Numerical
method for frames
1 Scope
This International Standard specifies a method and gives reference input data for the calculation of the
thermal transmittance of frame profiles and of the linear thermal transmittance of their junction with glazing or
opaque panels.
The method can also be used to evaluate the thermal resistance of shutter profiles and the thermal
characteristics of roller shutter boxes and similar components (e.g. blinds).
This standard also gives criteria for the validation of numerical methods used for the calculation.
This standard does not include effects of solar radiation, heat transfer caused by air leakage or three-
dimensional heat transfer such as pin point metallic connections. Thermal bridge effects between the frame
and the building structure are not included.
Table 1 shows the relative position of this standard within the EPB package of standards.
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oSIST prEN ISO 10077-2:2015
ISO/DIS 10077-2
a
Table 1 —Position of this International Standard within the modular EPB set of standards
Over- Building
Technical Building Systems
arching (as such)
sub1
M1 M2  M3 M4 M5 M6 M7 M8 M9 M10 M11
General General General
1
Common
terms and
Building Energy
definitions; Needs
2        N.A. N.A.
Needs
symbols, units
and subscripts
(Free) Indoor
Maximum Load
3 Applications Conditions        N.A. N.A.
and Power
without Systems
Ways to
Ways to Ways to
Express
Express Energy Express Energy
4
Energy
Performance Performance
Performance
Building
Heat Transfer by
Functions and Emission &
        N.A.
5
a
Building control
Transmission
Boundaries
Building
Heat Transfer by
Occupancy Distribution &
Infiltration and
6
and Operating control
Ventilation
Conditions
Aggregation of
Energy
Internal Heat Storage &
Services and
7    N.A. N.A.  N.A.
Gains control
Energy
Carriers
Building Generation &
Solar Heat Gains
8
Partitioning control
Load
Calculated Building
dispatching and
Energy Dynamics
9    N.A. N.A.  N.A.  N.A.
operating
Performance (thermal mass)
conditions
Measured Measured Measured
Energy Energy Energy
10
Performance Performance Performance
Inspection Inspection Inspection
11
Ways to
Express
BMS
12 N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A.  N.A.
Indoor
Comfort
External
13 Environment N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A.
Conditions
Economic
14 N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A.
Calculation
a
Position of this International Standard: M2-5.
© ISO 2015 – All rights reserved
2

Submodule
Descriptions
Descriptions
Descriptions
Heating
Cooling
Ventilation
Humidification
Dehumidification
Domestic Hot water
Lighting
Building automation &
control
PV, wind, .

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oSIST prEN ISO 10077-2:2015
ISO/DIS 10077-2

2 Normative references
The following referenced documents are indispensable for the application 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 6946, Building components and building elements — Thermal resistance and thermal transmittance —
Calculation method
ISO 7345, Thermal insulation — Physical quantities and definitions
ISO 10211, Thermal bridges in building construction — Heat flows and surface temperatures — Detailed
calculations
ISO 10456, Building materials and products — Hygrothermal properties — Tabulated design values and
procedures for determining declared and design thermal values
ISO 12567-2:2005, Thermal performance of windows and doors — Determination of thermal transmittance by
hot box method — Part 2: Roof windows and other projecting windows
ISO 17025, General requirements for the competence of testing and calibration laboratories
EN 673, Glass in building — Calculation of thermal transmittance (U-value) — Calculation Method
EN 12519, Windows and pedestrian doors — Terminology
ISO 10292, Glass in building — Calculation of steady-state U values (thermal transmittance) of multiple
glazing
FprEN 15603:2014, Energy performance of buildings — Overarching standard EPB
3 Terms and definitions
For the purposes of this standard, the terms and definitions given in ISO 7345 and EN 12519 apply.
4 Symbols and abbreviations
4.1 Symbols
For the purposes of this Standard, the symbols given in prEN 15603:2013 and the specific symbols listed in
Table 2 apply
Table 2 — Symbols and units
Symbol Name of quantity Unit
2
A area
m
b width, i.e. perpendicular to the direction of heat flow m
d
depth, i.e. parallel to the direction of heat flow m
2 4/3
C
constant in formula for Nusselt number W/(m ·K )
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oSIST prEN ISO 10077-2:2015
ISO/DIS 10077-2
Symbol Name of quantity Unit
E intersurface emittance –
F view factor –
2
h heat transfer coefficient
W/(m ·K)
2D
L two-dimensional thermal conductance W/(m·K)
or thermal coupling coefficient
l length m
Nu Nusselt number –
2
q density of heat flow rate
W/m
2
R thermal resistance
m ·K/W
T thermodynamic temperature K
2
U thermal transmittance
W/(m ·K)
2 4
s Stefan-Boltzmann constant
W/(m ·K )
ε emissivity –
λ thermal conductivity W/(m·K)
linear thermal transmittance W/(m·K)
Ψ

4.2 Subscripts
For the purposes of this standard, the subscripts given in prEN 15603:2013 and the specific subscripts listed
in Table 3 apply.
Table 3 — Subscripts
a convective (surface to surface) m mean
e external (outdoor) p panel
g glazing r radiative
eq equivalent s space (air or gas space)
f frame sb shutter box
fr frame adjacent to roller shutter box se external surface
i internal (indoor) si internal surface

5 Calculation method
5.1 Output of the method
The possible outputs of this standard are the following:
 The thermal transmittance of a frame profile, U ;
f
 The thermal transmittance of a shutter box, U ;
sb
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oSIST prEN ISO 10077-2:2015
ISO/DIS 10077-2
 The linear thermal transmittance of a the junction of a frame profile with a glazing or opaque panel, Ψ.
5.2 General principle
The calculation is carried out using a two-dimensional numerical method conforming to ISO 10211. The
elements shall be divided such that any further division does not change the calculated result significantly.
ISO 10211 gives criteria for judging whether sufficient sub-divisions have been used.
Vertical orientation of frame sections and air cavities is assumed for calculations by this standard for the
purposes of assigning equivalent thermal conductivity values (see 6.4.2.3); this applies irrespective of the
intended orientation of the actual window, including roof windows.
5.3 Validation of the calculation programs
To ensure the suitability of the calculation program used, calculations shall be carried out on the examples
described in Annexes G and H.
The requirements for all validation cases in Annexes G and H shall be fulfilled.
2D
The calculated two-dimensional thermal conductance L for the cases in Annex H shall not differ from the
corresponding values given in Tables H.3 and H.4 by more than ±3 %. This will lead to an accuracy of the
thermal transmittance, U, and the linear thermal transmittance Ψ, of about 5 %.
6 Calculation of thermal transmittance
6.1 Output data
The outputs of this standard are transmission heat transfer coefficients.
Table 4 — Output data
Description Symbol Unit Destination Validity Varying
module interval
2
Thermal U W/(m K) M2-5 NO
f
0…∞
transmittance

of frame profile
2
Thermal U W/(m K) M2-5 NO
sb 0…∞
transmittance
of shutter box

Linear thermal Ψ W/(m K) M2-5 NO
∞
0…
transmittance


6.2 Calculation time steps
The calculations described in this standard are steady-state and do not have time steps.
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oSIST prEN ISO 10077-2:2015
ISO/DIS 10077-2
6.3 Input data
6.3.1 Geometrical characteristics
Table 5 – Identifiers for geometric characteristics
Name Symbol Unit Range Origin Varying
Geometrical data

Cross section of the frame profile  Manufacturer NO
Cross section of the shutter box  Manufacturer NO
Cross section of the junction frame
  Manufacturer NO
profile and glazing
Cross section of the junction frame
  Manufacturer NO
profile and panel

For frames with special extensions overlapping the wall or other building elements, such as a Z-shaped
profiles, the extensions shall be disregarded as illustrated in Figure 1. This applies to all profiles with special
extensions (e.g. H-shape) where the extensions overlap the wall or other building elements. Other boundaries
shall be treated as defined in Figure 2.

Figure 1 — Treatment of profiles with extensions (Z-shape)
NOTE 1 This approximation is for assessment of thermal transmittance. It is not appropriate for assessment of
condensation risk.
NOTE 2 The extension of the frame profile is disregarded in the calculation of the thermal transmittance of the window
(see ISO 10077-1).
6.3.2 Thermal conductivity values
For the purpose of this standard, thermal conductivity values used for solid materials shall be obtained
according to one of the following:
 Table D.1 of this standard;
 tabulated values given in ISO 10456;
 product standards;
 technical approvals by a recognized national body;
 measurements according to an appropriate international standard.
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oSIST prEN ISO 10077-2:2015
ISO/DIS 10077-2
Measurements shall be used only if there is no tabulated data or data according to relevant product standards
or a technical approval. Measurements shall be performed at a mean temperature of 10 °C using the
appropriate method by an institute accredited (as specified in ISO 17025) to carry out those measurements,
on samples that have been conditioned at 23 °C and 50% RH to constant mass (change in mass not more
than 0,1 % over 24 h). To ensure that the thermal conductivity values are representative of the material (that
is, that the value incorporates likely variability of the material and the measurement uncertainty), one of the
following methods shall be used for obtaining the thermal conductivity value from measured data used in the
calculations:
 The thermal conductivity is the declared value obtained from the measured data (at least three different
samples from different lots representing the usual product variation, with ageing taken into consideration)
according to a statisti
...