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EUROPEAN STANDARD
NORME EUROPÉENNE
EUROPÄISCHE NORM
EN 1995-1-2
November 2004
ICS 91.010.30; 13.220.50; 91.080.20
Incorporating corrigenda June 2006 and March 2009
Supersedes ENV 1995-1-2:1994
English version
Eurocode 5: Conception et Calcul des structures en bois -Part 1-2: Generates - Calcul des structures au feu | Eurocode 5: Entwurf, Berechnung und Bemessung von Holzbauten - Teil 1-2: Allgemeine Regeln - Bemessung fur den Brandfall |
This European Standard was approved by CEN on 16 April 2004.
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 Central Secretariat 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 Central Secretariat has the same status as the official versions.
CEN members are the national standards bodies of Austria, Belgium, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Slovakia, Slovenia, Spain, Sweden, Switzerland and United Kingdom.
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© 2004 CEN All rights of exploitation in any form and by any means reserved worldwide for CEN national Members.
Ref. No. EN 1995-1-2:2004: E
1Foreword | 4 | ||||
Background of the Eurocode programme | 4 | ||||
Status and field of application of Eurocodes | 5 | ||||
National Standards implementing Eurocodes | 5 | ||||
Links between Eurocodes and harmonised technical specifications (ENs and ETAs) for products | 6 | ||||
Additional information specific to EN 1995-1-2 | 6 | ||||
National annex for EN 1995-1-2 | 7 | ||||
Section 1 General | 9 | ||||
1.1 | Scope | 9 | |||
1.1.1 | Scope of Eurocode 5 | 9 | |||
1.1.2 | Scope of EN 1995-1-2 | 9 | |||
1.2 | Normative references | 10 | |||
1.3 | Assumptions | 10 | |||
1.4 | Distinction between principles and application rules | 10 | |||
1.5 | Terms and definitions | 11 | |||
1.6 | Symbols | 11 | |||
Section 2 Basis of design | 14 | ||||
2.1 | Requirements | 14 | |||
2.1.1 | Basic requirements | 14 | |||
2.1.2 | Nominal fire exposure | 14 | |||
2.1.3 | Parametric fire exposure | 14 | |||
2.2 | Actions | 15 | |||
2.3 | Design values of material properties and resistances | 15 | |||
2.4 | Verification methods | 16 | |||
2.4.1 | General | 16 | |||
2.4.2 | Member analysis | 17 | |||
2.4.3 | Analysis of parts of the structure | 18 | |||
2.4.4 | Global structural analysis | 19 | |||
Section 3 Material properties | 20 | ||||
3.1 | General | 20 | |||
3.2 | Mechanical properties | 20 | |||
3.3 | Thermal properties | 20 | |||
3.4 | Charring depth | 20 | |||
3.4.1 | General | 20 | |||
3.4.2 | Surfaces unprotected throughout the time of fire exposure | 21 | |||
3.4.3 | Surfaces of beams and columns initially protected from fire exposure | 23 | |||
3.4.3.1 | General | 23 | |||
3.4.3.2 | Charring rates | 26 | |||
3.4.3.3 | Start of charring | 27 | |||
3.4.3.4 | Failure times of fire protective claddings | 28 | |||
3.5 | Adhesives | 29 | |||
Section 4 Design procedures for mechanical resistance | 30 | ||||
4.1 | General | 30 | |||
4.2 | Simplified rules for determining cross-sectional properties | 30 | |||
4.2.1 | General | 30 | |||
4.2.2 | Reduced cross-section method | 30 | |||
4.2.3 | Reduced properties method | 31 | |||
4.3 | Simplified rules for analysis of structural members and components | 32 | |||
4.3.1 | General | 32 | |||
4.3.2 | Beams | 32 | |||
4.3.3 | Columns | 33 | |||
4.3.4 | Mechanically jointed members | 33 | |||
4.3.5 | Bracings | 34 | |||
4.4 | Advanced calculation methods | 34 | |||
Section 5 Design procedures for wall and floor assemblies | 35 2 | ||||
5.1 | General | 35 | |||
5.2 | Analysis of load-bearing function | 35 | |||
5.3 | Analysis of separating function | 35 | |||
Section 6 Connections | 36 | ||||
6.1 | General | 36 | |||
6.2 | Connections with side members of wood | 36 | |||
6.2.1 | Simplified rules | 36 | |||
6.2.1.1 | Unprotected connections | 36 | |||
6.2.1.2 | Protected connections | 37 | |||
6.2.1.3 | Additional rules for connections with internal steel plates | 38 | |||
6.2.2 | Reduced load method | 39 | |||
6.2.2.1 | Unprotected connections | 39 | |||
6.2.2.2 | Protected connections | 41 | |||
6.3 | Connections with external steel plates | 41 | |||
6.3.1 | Unprotected connections | 41 | |||
6.3.2 | Protected connections | 41 | |||
6.4 | Simplified rules for axially loaded screws | 41 | |||
Section 7 Detailing | 43 | ||||
7.1 | Walls and floors | 43 | |||
7.1.1 | Dimensions and spacings | 43 | |||
7.1.2 | Detailing of panel connections | 43 | |||
7.1.3 | Insulation | 43 | |||
7.2 | Other elements | 43 | |||
Annex A (Informative) Parametric fire exposure | 45 | ||||
A1 | General | 45 | |||
A2 | Charring rates and charring depths | 45 | |||
A3 | Mechanical resistance of members in edgewise bending | 47 | |||
Annex B (informative) Advanced calculation methods | 48 | ||||
B1 | General | 48 | |||
B2 | Thermal properties | 48 | |||
B3 | Mechanical properties | 50 | |||
Annex C (Informative) Load-bearing floor joists and wall studs in assemblies whose cavities are completely filled with insulation | 52 | ||||
C1 | General | 52 | |||
C2 | Residual cross-section | 52 | |||
C2.1 | Charring rates | 52 | |||
C2.2 | Start of charring | 54 | |||
C2.3 | Failure times of panels | 54 | |||
C3 | Reduction of strength and stiffness parameters | 56 | |||
Annex D (informative) Charring of members in wall and floor assemblies with void cavities | 58 | ||||
D1 | General | 58 | |||
D2 | Charring rates | 58 | |||
D3 | Start of charring | 58 | |||
D4 | Failure times of panels | 58 | |||
Annex E (informative) Analysis of the separating function of wall and floor assemblies | 60 | ||||
E1 | General | 60 | |||
E2 | Simplified method for the analysis of insulation | 60 | |||
E2.1 | General | 60 | |||
E2.2 | Basic insulation values | 61 | |||
E2.3 | Position coefficients | 62 | |||
E2.4 | Effect of joints | 62 | |||
Annex F (informative) Guidance for users of this Eurocode Part | 68 |
This European Standard EN 1995-1-2 has been prepared by Technical Committee CEN/TC250 “Structural Eurocodes”, the Secretariat of which is held by BSI.
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 May 2005, and conflicting national standards shall be withdrawn at the latest by March 2010.
This European Standard supersedes ENV 1995-1-2:1994.
CEN/TC250 is responsible for all Structural Eurocodes.
According to the CEN/CENELEC Internal Regulations, the national standards organizations of the following countries are bound to implement this European Standard: Austria, Belgium, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxemburg, Malta, Netherlands, Norway, Poland, Portugal, Slovakia, Slovenia, Spain, Sweden, Switzerland and United Kingdom.
In 1975, the Commission of the European Community decided on an action programme in the field of construction, based on article 95 of the Treaty. The objective of the programme was the elimination of technical obstacles to trade and the harmonisation of technical specifications.
Within this action programme, the Commission took the initiative to establish a set of harmonised technical rules for the design of construction works which, in a first stage, would serve as an alternative to the national rules in force in the Member States and, ultimately, would replace them.
For fifteen years, the Commission, with the help of a Steering Committee with Representatives of Member States, conducted the development of the Eurocodes programme, which led to the first generation of European codes in the 1980’s.
In 1989, the Commission and the Member States of the EU and EFTA decided, on the basis of an agreement1 between the Commission and CEN, to transfer the preparation and the publication of the Eurocodes to the CEN through a series of Mandates, in order to provide them with a future status of European Standard (EN). This links de facto the Eurocodes with the provisions of all the Council’s Directives and/or Commission’s Decisions dealing with European standards (e.g. the Council Directive 89/106/EEC on construction products - CPD - and Council Directives 93/37/EEC, 92/50/EEC and 89/440/EEC on public works and services and equivalent EFTA Directives initiated in pursuit of setting up the internal market).
The Structural Eurocode programme comprises the following standards generally consisting of a number of Parts:
EN 1990 | Eurocode : | Basis of Structural Design |
EN 1991 | Eurocode 1: | Actions on structures |
EN 1992 | Eurocode 2: | Design of concrete structures |
EN 1993 | Eurocode 3: | Design of steel structures |
EN 1994 | Eurocode 4: | Design of composite steel and concrete structures |
EN 1995 | Eurocode 5: | Design of timber structures |
EN 1996 | Eurocode 6: | Design of masonry structures |
EN 1997 | Eurocode 7: | Geotechnical design |
EN 1998 | Eurocode 8: | Design of structures for earthquake resistance |
EN 1999 | Eurocode 9: | Design of aluminium structures |
1Agreement between the Commission of the European Communities and the European Committee for Standardisation (CEN) concerning the work on EUROCODES for the design of building and civil engineering works (BC/CEN/03/89).
4Eurocode standards recognise the responsibility of regulatory authorities in each Member State and have safeguarded their right to determine values related to regulatory safety matters at national level where these continue to vary from State to State.
The Member States of the EU and EFTA recognise that EUROCODES serve as reference documents for the following purposes:
The Eurocodes, as far as they concern the construction works themselves, have a direct relationship with the Interpretative Documents2 referred to in Article 12 of the CPD, although they are of a different nature from harmonised product standards3. Therefore, technical aspects arising from the Eurocodes work need to be adequately considered by CEN Technical Committees and/or EOTA Working Groups working on product standards with a view to achieving full compatibility of these technical specifications with the Eurocodes.
The Eurocode standards provide common structural design rules for everyday use for the design of whole structures and component products of both a traditional and an innovative nature. Unusual forms of construction or design conditions are not specifically covered and additional expert consideration will be required by the designer in such cases.
The National Standards implementing Eurocodes will comprise the full text of the Eurocode (including any annexes), as published by CEN, which may be preceded by a National title page and National Foreword, and may be followed by a National Annex.
The National annex may only contain information on those parameters which are left open in the Eurocode for national choice, known as Nationally Determined Parameters, to be used for the design of buildings and civil engineering works to be constructed in the country concerned, i.e.:
2According to Art. 3.3 of the CPD, the essential requirements (ERs) shall be given concrete form in interpretative documents for the creation of the necessary links between the essential requirements and the mandates for harmonised ENs and ETAGs/ETAs.
3According to Art. 12 of the CPD the interpretative documents shall: give concrete form to the essential requirements by harmonising the terminology and the technical bases and indicating classes or levels for each requirement where necessary; indicate methods of correlating these classes or levels of requirement with the technical specifications, e.g. methods of calculation and of proof, technical rules for project design, etc.; serve as a reference for the establishment of harmonised standards and guidelines for European technical approvals.
The Eurocodes, de facto, play a similar role in the field of the ER 1 and a part of ER 2.
There is a need for consistency between the harmonised technical specifications for construction products and the technical rules for works4. Furthermore, all the information accompanying the CE Marking of the construction products which refer to Eurocodes shall clearly mention which Nationally Determined Parameters have been taken into account.
EN 1995-1-2 describes the principles, requirements and rules for the structural design of buildings exposed to fire, including the following aspects.
EN 1995-1-2 is intended for clients (e.g. for the formulation of their specific requirements), designers, contractors and relevant authorities.
The general objectives of fire protection are to limit risks with respect to the individual, society, neighbouring property, and where required, directly exposed property, in the case of fire.
Construction Products Directive 89/106/EEC gives the following essential requirement for the limitation of fire risks:
“The construction works must be designed and built in such a way, that in the event of an outbreak of fire
According to the Interpretative Document “Safety in Case of Fire5” the essential requirement may be observed by following the various fire safety strategies prevailing in the Member States like conventional fire scenarios (nominal fires) or natural fire scenarios (parametric fires), including passive and/or active fire protection measures.
The fire parts of Structural Eurocodes deal with specific aspects of passive fire protection in terms of designing structures and parts thereof for adequate load-bearing resistance and for limiting fire spread as appropriate.
Required functions and levels of performance can be specified either in terms of nominal (standard) fire resistance rating, generally given in National fire regulations, or by referring to the fire safety engineering for assessing passive and active measures. Supplementary requirements concerning, for example
4see Art.3.3 and Art. 12 of the CPD, as well as clauses 4.2, 4.3.1, 4.3.2 and 5.2 of ID 1.
5see clauses 2.2, 3.2(4) and 4.2.3.3
6Numerical values for partial factors and other reliability elements are given as recommended values that provide an acceptable level of reliability. They have been selected assuming that an appropriate level of workmanship and of quality management applies.
A full analytical procedure for structural fire design would take into account the behaviour of the structural system at elevated temperatures, the potential heat exposure and the beneficial effects of active fire protection systems, together with the uncertainties associated with these three features and the importance of the structure (consequences of failure).
At the present time it is possible to undertake a procedure for determining adequate performance which incorporates some, if not all, of these parameters, and to demonstrate that the structure, or its components, will give adequate performance in a real building fire. However, where the procedure is based on a nominal (standard) fire the classification system, which calls for specific periods of fire resistance, takes into account (though not explicitly), the features and uncertainties described above.
Options for the application of Part 1-2 of EN 1995 are illustrated in figure 1. The prescriptive and performance-based approaches are identified. The prescriptive approach uses nominal fires to generate thermal actions. The performance-based approach, using fire safety engineering, refers to thermal actions based on physical and chemical parameters.
For design according to this part, EN 1991-1-2 is required for the determination of thermal and mechanical actions acting on the structure.
It is expected that design aids based on the calculation models given in EN 1995-1-2, will be prepared by interested external organisations.
The main text of EN 1995-1-2 includes most of the principal concepts and rules necessary for direct application of structural fire design to timber structures.
In an annex F (informative), guidance is given to help the user select the relevant procedures for the design of timber structures.
This standard gives alternative procedures, values and recommendations with notes indicating where national choices may have to be made. Therefore the National Standard implementing EN 1995-1-2 should have a National annex containing all Nationally Determined Parameters to be used for the design of buildings and civil engineering works to be constructed in the relevant country.
National choice is allowed in EN 1995-1-2 through clauses:
2.1.3(2) Maximum temperature rise for separating function in parametric fire exposure;
2.3(1)P Partial factor for material properties;
2.3(2)P Partial factor for material properties;
2.4.2(3) Reduction factor for combination of actions;
4.2.1(1) Method for determining cross-sectional properties.
Figure 1 – Alternative design procedures
8European Standards:
EN 300 | Oriented strand boards (OSB) – Definition, classification and specifications |
EN 301 | Adhesives, phenolic and aminoplastic for load-bearing timber structures; classification and performance requirements |
EN 309 | Wood particleboards – Definition and classification |
EN 313-1 | Plywood – Classification and terminology. Part 1: Classification |
EN 314-2 | Plywood – Bonding quality. Part 2: Requirements |
EN 316 | Wood fibreboards- Definition, classification and symbols |
Gypsum plasterboards – Definitions, requirements and test methods |
|
EN 912 | Timber fasteners – Specifications for connectors for timber |
EN 1363-1 | Fire resistance tests – Part 1: General requirements |
EN 1365-1 | Fire resistance tests for loadbearing elements – Part 1: Walls |
EN 1365-2 | Fire resistance tests for loadbearing elements – Part 2: Floors and roofs |
EN 1990:2002 | Eurocode: Basis of structural design |
EN 1991-1-1:2002 | Eurocode 1 Actions on structures |
Part 1-1: General actions – Densities, self-weight and imposed loads for buildings | |
EN 1991-1-2:2002 | Eurocode 1: Actions on structures – Part 1-2: General actions – Actions on structures exposed to fire |
EN 1993-1-2 | Eurocode 3: Design of steel structures – Part 1-2: General – Structural fire design |
EN 1995-1-1 | Eurocode 5: Design of timber structures – Part 1-1: General – Common rules and rules for buildings |
EN 12369-1 | Wood-based panels – Characteristic values for structural design – Part 1: OSB, particleboards and fibreboards |
EN 13162 | Thermal insulation products for buildings – factory-made mineral wool (MW) products – Specifications M/103 |
ENV 13381-7 | Test methods for determining the contribution to the fire resistance of structural members – Part 7: Applied protection to timber members |
EN 13986 | Wood-based panels for use in construction – Characteristics, evaluation of conformity and marking |
EN 14081-1 | Timber structures – Strength graded structural timber with rectangular cross section – Part 1, General requirements |
EN 14080 | Timber structures – Glued laminated timber – Requirements |
EN 14374 | Timber structures – Structural laminated veneer lumber – Requirements |
Borderline between the char-layer and the residual cross-section.
Cross-section of member in a structural fire design based on the reduced cross-section method. It is obtained from the residual cross-section by removing the parts of the cross-section with assumed zero strength and stiffness.
Duration of protection of member against direct fire exposure; (e.g. when the fire protective cladding or other protection falls off the timber member, or when a structural member initially protecting the member fails due to collapse, or when the protection from another structural member is no longer effective due to excessive deformation).
Any material or combination of materials applied to a structural member or element for the purpose of increasing its fire resistance.
Ultimate limit state design for ambient temperatures according to EN 1995-1-1.
Members for which measures are taken to reduce the temperature rise in the member and to prevent or reduce charring due to fire.
Cross-section of the original member reduced by the charring depth.
For the purpose of EN 1995-1-2, the following symbols apply:
Latin upper case letters
Ar | Area of the residual cross-section |
At | Total area of floors, walls and ceilings that enclose the fire compartment |
Av | Total area of vertical openings of fire compartment |
Ed | Design effect of actions |
Ed,fi | Design modulus of elasticity in fire; design effect of actions for the fire situation |
FEd,fi | Design effect of actions on a connection for the fire situation |
FR,0.2 | 20 % fractile of a resistance |
FRk | Characteristic mechanical resistance of a connection at normal temperature without the effect of load duration and moisture (kmod = 1) |
Gd,fi | Design shear modulus in fire |
Gk | Characteristic value of permanent action |
Kfi | Slip modulus in the fire situation |
Ku | Slip modulus for the ultimate limit state at normal temperature |
L | Height of storey |
O | Opening factor |
Qk,1 | Characteristic value of leading variable action 11 |
S05 | 5 % fractile of a stiffness property (modulus of elasticity or shear modulus)at normal temperature |
S20 | 20 % fractile of a stiffness property (modulus of elasticity or shear modulus)at normal temperature |
Sd.fi | Design stiffness property (modulus of elasticity or shear modulus) in the fire situation |
Wef | Section modulus of effective cross-section |
Wr | Section modulus of residual cross-section |
Latin lower case letters
a0 | Parameter |
a1 | Parameter |
a2 | Distance |
a3 | Distance |
afi | Extra thickness of member for improved mechanical resistance of connections |
b | Width; thermal absorptivity for the total enclosure |
b0 | Parameter |
b1 | Parameter |
c | Specific heat |
d | Diameter of fastener |
d0 | Depth of layer with assumed zero strength and stiffness |
dchar,0 | Charring depth for one-dimensional charring |
dchar,n | Notional charring depth |
def | Effective charring depth |
dg | Gap depth |
f20 | 20 % fractile strength at normal temperature |
fd.fi | Design strength in fire |
fk | Characteristic strength |
fv,k | Characteristic shear strength |
heq | Weighted average of heights of all vertical openings in the fire compartment |
hins | Insulation thickness |
hρ | Fire protective panel thickness |
k | Parameter |
kρ | Density coefficient |
k0 | Coefficient |
k2 | Insulation coefficient |
k3 | Post-protection coefficient |
kfi | Coefficient |
kflux | Heat flux coefficient for fasteners |
Kh | Panel thickness coefficient |
kj | Joint coefficient |
kmod | Modification factor for duration of load and moisture content |
kmod,E,fi | Modification factor for modulus of elasticity in the fire situation |
kmod,fi | Modification factor for fire |
kmod,fm,fi | Modification factor for bending strength in the fire situation |
kn | Notional cross-section coefficient |
kpos | Position coefficient |
kΘ | Temperature-dependent reduction factor for local strength or stiffness property |
la | Penetration length of fastener into unburnt timber |
la,min | Minimum anchorage length of fastener |
lf | Length of fastener |
lρ | Span of the panel |
p | Perimeter of the fire exposed residual cross-section |
qt,d | Design fire load density related to the total area of floors, walls and ceilings which enclose the fire compartment |
t | Time of fire exposure |
t0 | Time period with a constant charring rate 12 |
t1 | Thickness of the side member |
tch | Time of start of charring of protected members (delay of start of charring due to protection) |
tdfi | Time of the fire resistance of the unprotected connection |
tf | Failure time of protection |
tins | Time of temperature increase on the unexposed side of the construction |
tins,0,j | Basic insulation value of layer “i” |
tp,min | Minimum thickness of panel |
tR | Time of fire resistance with respect to the load-bearing function |
treq | Required time of fire resistance |
y | Co-ordinate |
z | Co-ordinate |
Greek upper case letters
Γ | Factor accounting for the thermal properties of the boundaries of the compartment |
Θ | Temperature |
Greek lower case letters
β0 | Design charring rate for one-dimensional charring under standard fire exposure |
βn | Design notional charring rate under standard fire exposure |
βpar | Design charring rate during heating phase of parametric fire curve |
η | Conversion factor for the reduction of the load-bearing capacity in fire |
ηf | Conversion factor for slip modulus |
γGA | Partial factor for permanent actions in accidental design situations |
γM | Partial factor for a material property, also accounting for model uncertainties and dimensional variations |
γM,fi | Partial factor for timber in fire |
γQ,1 | Partial factor for leading variable action |
λ | Thermal conductivity |
ρ | Density |
ρk | Characteristic density |
ω | Moisture content |
ψ1.1 | Combination factor for frequent value of a variable action |
ψ2.1 | Combination factor for quasi-permanent value of a variable action |
ψfi | Combination factor for frequent values of variable actions in the fire situation |
NOTE 1: See EN 1991-1-2:2002 for definitions.
NOTE 2: There is no risk of fire spread due to thermal radiation when an unexposed surface temperature is below 300°C.
NOTE: The recommended values for maximum temperature rise during the decay phase are ΔΘ1 = 200 K and ΔΘ2 = 240 K. Information on National choice may be found in the National annex.
where:
fd,fl | is the design strength in fire; |
Sd,fi | is the design stiffness property (modulus of elasticity Ed,fi or shear modulus Gd,fi) in fire; |
f20 | is the 20 % fractile of a strength property at normal temperature; |
S20 | is the 20 % fractile of a stiffness property (modulus of elasticity or shear modulus) at normal temperature; |
kmod,fi | is the modification factor for fire; |
γM,fi | is the partial safety factor for timber in fire. |
NOTE 1: The modification factor for fire takes into account the reduction in strength and stiffness properties at elevated temperatures. The modification factor for fire replaces the modification factor for normal temperature design kmod given in EN 1995-1-1. Values of kmod,fi are given in the relevant clauses.
NOTE 2: The recommended partial safety factor for material properties in fire is γM,fi = 1,0. Information on National choice may be found in the National annex..
where:
Rd,t,fi | is the design value of a mechanical resistance in the fire situation at time t; |
R20 | is the 20 % fractile value of a mechanical resistance at normal temperature without the effect of load duration and moisture (kmod = 1); 15 |
η | is a conversion factor; |
γM,fi | is the partial safety factor for timber in fire. |
Note 1: See (1) above Note 2.
Note 2: Design resistances are applied for connections, see 6.2.2 and 6.4. For connections a conversion factor η is given in 6.2.2.1.
f20 = kfi fk (2.4)
S20 = kfl S05 (2.5)
where:
f20 | is the 20 % fractile of a strength property at normal temperature; |
S20 | is the 20 % fractile of a stiffness property (modulus of elasticity or shear modulus) at normal temperature; |
S05 | is the 5 % fractile of a stiffness property (modulus of elasticity or shear modulus) at normal temperature |
kfi | is given in table 2.1. |
kft | |
Solid timber | 1,25 |
Glued-laminated timber | 1,15 |
Wood-based panels | 1,15 |
LVL | 1,1 |
Connections with fasteners in shear with side members of wood and wood-based panels |
1,15 |
Connections with fasteners in shear with side members of steel |
1,05 |
Connections with axially loaded fasteners | 1,05 |
R20 = kfi Rk (2.6)
where:
kfi | is given in table 2.1. |
Rk | is the characteristic mechanical resistance of a connection at normal temperature without the effect of load duration and moisture (kmod = 1). |
Ed,fi ≤ Rd,t,fi (2.7)
where
Ed,fi | is the design effect of actions for the fire situation, determined in accordance with EN 1991-1-2:2002, including effects of thermal expansions and deformations; |
Rd,t,fi | is the corresponding design resistance in the fire situation. |
NOTE: For verifying standard fire resistance requirements, a member analysis is sufficient.
Ed,fi = ηfi Ed (2.8)
where:
Ed | is the design effect of actions for normal temperature design for the fundamental combination of actions, see EN 1990:2002; |
ηfi | is the reduction factor for the design load in the fire situation. |
or, for load combinations (6.10a) and (6.10b) in EN 1990:2002, as the smallest value given by the following two expressions
where:
Qk,1 | is the characteristic value of the leading variable action; |
Gk | is the characteristic value of the permanent action; |
γG | is the partial factor for permanent actions; |
γQ,1 | the partial factor for variable action 1; 17 |
is the combination factor for frequent values of variable actions in the fire situation, given either by ψ1,1 or ψ2,1 see EN 1991-1-1; |
|
ξ | is a reduction factor for unfavourable permanent actions G. |
NOTE 1: An example of the variation of the reduction factor ηfi versus the load ratio Qk,1/Gk for different values of the combination factor ψfi according to expression (2.9) is shown in figure 2.1 with the following assumptions: γGA = 1,0, γG = 1,35 and γQ = 1,5. Partial factors are specified in the relevant National annexes of EN 1990:2002. Expressions (2.9a) and (2.9b) give slightly higher values.
Figure 2.1 – Examples of reduction factor ηfi versus load ratio Qk,1/Gk according to expression (2.9)
NOTE 2: As a simplification, the recommended value is ηfi = 0,6, except for imposed loads according to category E given in EN 1991-2-1:2002 (areas susceptible to accumulation of goods, including access areas) where the recommended value is ηfi = 0,7. Information on National choice may be found in the National annex.
NOTE 3: The National choice of load combinations between expression (2.9) and expressions (2.9a) and (2.9b) is made in EN 1991-1-2:2002.
NOTE 1: A simplified method for the reduction of the strength and stiffness parameters of timber frame members in wall and floor assemblies completely filled with insulation is given in annex C (informative).
NOTE 2: A simplified method for the reduction of the strength of timber members exposed to parametric fires is given in annex A (informative).
NOTE: Values of temperature-dependent mechanical properties are given in annex B (informative).
NOTE: For thermal analysis, design values of thermal conductivity and heat capacity of timber are given in annex B (informative).
NOTE: This assumption is valid for most softwoods and hardwoods.
NOTE: For parametric fire exposure, see annex A (informative).
dchar,0 = β0 t (3.1)
where:
dchar,0 | is the design charring depth for one-dimensional charring; |
β0 | is the one-dimensional design charring rate under standard fire exposure; |
t | is the time of fire exposure. |
Figure 3.1 — One-dimensional charring of wide cross section (fire exposure on one side)
dchar,n = βn, t (3.2)
where:
dchar,n | is the notional design charring depth, which incorporates the effect of corner roundings; |
βn | is the notional design charring rate, the magnitude of which includes for the effect of corner roundings and fissures. |
When the smallest width of the cross section is smaller than bmin, notional design charring rates should be applied.
NOTE: For timber members in wall and floor assemblies where the cavities are completely filled with insulation, values for notional design charring rates βn are given in annex C (informative).
Figure 3.2 — Charring depth dchar,0 for one-dimensional charring and notional charring depth dchar,n
β0,ρ,t = β0 kρ kh (3.4)
with
where:
ρk | is the characteristic density, in kg/m3; |
hp | is the panel thickness, in millimetres. |
NOTE: For wood-based panels characteristic densities are given in EN 12369.
β0 mm/min |
βn mm/min |
|
a) Softwood and beech Gluded laminated timber with a characteristic density of ≥ 290 kg/m3 |
0,65 | 0,7 |
Solid timber with a characteristic density of ≥ 290 kg/m3 |
0,65 | 0,8 |
b) Hardwood Solid or glued laminated hardwood with a characteristic density of 290 kg/m3 |
0,65 | 0,7 |
Solid or glued laminated hardwood with a characteristic density ≥ 450 kg/m3 |
0,50 | 0,55 |
c) LVL with a characteristic density of ≥ 480 kg/m3 |
0,65 | 0,7 |
d) Panels Wood panelling |
0,9a | – |
Plywood | 1,0a | – |
Wood-based panels other than plywood | 0,9a | – |
aThe values apply to a characteristic density of 450 kg/m3 and a panel thickness of 20 mm; see 3.4.2(9) for other thicknesses and densities. |
NOTE 1: Other fire protection available includes intumescent coatings and impregnation. Test methods are given in ENV 13381-7
NOTE 2: The protection provided by other structural members may be terminated due to
NOTE 3: The different stages of protection, the times of transition between stages and corresponding charring rates are illustrated in figures 3.4 to 3.6.
NOTE 4: Rules for assemblies with void cavities are given in annex D (informative).
NOTE: Test methods are given in ENV 13381-7.
Figure 3.3 — Examples of fire protective claddings to: a) beams, b) columns,
24Figure 3.4 — Variation of charring depth with time when tch = tf and the charring depth at time ta is at least 25 mm
Figure 3.5 — Variation of charring depth with time when tch = tf and the charring depth at time ta is less than 25 mm
25Figure 3.6 — Variation of charring depth with time when tch < tf
k2 = 1–0,018 hp (3.7)
where hp is the thickness of the layer, in millimetres.
Where the cladding consists of several layers of gypsum plasterboard type F, hp should be taken as the thickness of the inner layer.
Thickness hins mm | k2 |
20 | 1 |
≥ 45 | 0,6 |
or for tch < tf (see figure 3.6)
where βn is the notional design charring rate, in mm/min. Expressions (3.8) and (3.9) also apply to one-dimensional charring when βn is replaced by β0.
For the calculation of tf see 3.4.3.4.
NOTE: Expression (3.8b) implies that a char-layer of 25 mm gives sufficient protection to reduce the charring rate to the values of table 3.1.
where:
hp is the thickness of the panel, in case of several layers the total thickness of layers;
tch is the time of start of charring;
tch = 2,8 hp – 14 (3.11)
where:
hp is the thickness of the panel, in mm.
At locations adjacent to joints with unfilled gaps with a width of more than 2 mm, the time of start of charring tch should be calculated as
tch = 2,8 hp – 23 (3.12)
where:
hp is the thickness of the panel, in mm;
NOTE: Gypsum plasterboard type E, D, R and I according to EN 520 have equal or better thermal and mechanical properties than type A and H.
where:
tch | is the time of start of charring in minutes; |
hins | is the thickness of the insulation material in millimetres; |
ρins | is the density of the insulating material in kg/m3. |
tf = tch (3.14)
where tch is calculated according to expression (3.10).
tf = tch (3.15)
where tch is calculated according to expression 3.4.3.3(3).
NOTE: In general, failure due to mechanical degradation is dependent on temperature and size of the panels and their orientation. Normally, vertical position is more favourable than horizontal.
lf,req = hp + dchar,0 + la (3.16)
where:
hp | is the panel thickness; |
dchar,0 | is the charring depth in the timber member; |
la | is the minimum penetration length of the fastener into uncharred timber. |
Increased charring near corners should be taken into account, see 3.4.2(4).
NOTE: For some adhesives, the softening temperature is considerably below the charring temperature of the wood.
NOTE: The recommended procedure is the reduced cross-section method given in 4.2.2. Information on the National choice may be found in the National annex.
def = dchar,n + ko do (4.1)
with:
d0 = 7 mm
dchar,n | is determined according to expression (3.2) or the rules given in 3.4.3. |
k0 | is given in (2) and (3). |
NOTE: It is assumed that material close to the char line in the layer of thickness k0 d0 has zero strength and stiffness, while the strength and stiffness properties of the remaining cross-section are assumed to be unchanged.
Figure 4.1 — Definition of residual cross-section and effective cross-section
k0 | |
t < 20 minutes | t/20 |
t ≥ 20 minutes | 1,0 |
Figure 4.2 — Variation of k0: a) for unprotected members and protected members where tch ≤ 20 minutes, b) for protected members where tch > 20 minutes
where:
p | is the perimeter of the fire exposed residual cross-section, in metres; |
Ar | is the area of the residual cross-section, in m2. |
Figure 4.3 — Illustration of expressions (4.2)-(4.4)
Figure 4.4 — Continuous column
Kfi = Ku ηt (4.5)
where:
Kfi | is the slip modulus in the fire situation, in N/mm; |
Ku | is the slip modulus at normal temperature for the ultimate limit state according to EN 1995-1-1 2.2.2(2), in N/mm; |
ηf | is a conversion factor according to table 4.2. |
Nails and screws | 0,2 |
Bolts; dowels: split ring, shear plate and toothed-plate connectors |
0,67 |
NOTE: Guidance is given in annex B (informative).
NOTE 1: For wall and floor assemblies with cavities completely filled with insulation a design method is given in annex C (informative).
NOTE 2: For wall and floor assemblies with void cavities, design rules are given in annex D (informative).
NOTE: A design method is given in annex E (informative).
Time of fire resistance td,fi min |
Provisionsa | |
---|---|---|
Nails | 15 | d ≥ 2,8 mm |
Screws | 15 | d ≥ 3,5 mm |
Bolts | 15 | t1 ≥ 45 mm |
Dowels | 20 | t1 ≥ 45 mm |
Connectors according to EN 912 | 15 | t1 ≥ 45 mm |
a d is the diameter of the fastener and U is the thickness of the side member |
where:
afi = βn kflux (treq-td,fi) (6.1)
βn | is the charring rate according to table 3.1; |
kfux | is a coefficient taking into account increased heat flux through the fastener; |
treq | is the required standard fire resistance period; |
td,fi | is the fire resistance period of the unprotected connection given in table 6.1. |
Figure 6.1 — Extra thickness and extra end and edge distances of connections
tch ≥ treq − 0,5 td,fi (6.2)
where:
tch | is the time until start of charring according to 3.4.3.3; |
treq | is the required standard fire resistance period; |
td,fi | is the fire resistance of the unprotected connection given in table 6.1. |
tch ≥ treq − 1.2 td,fi (6.3)
Figure 6.2 — Examples of additional protection from glued-in plugs or from wood-based panels or gypsum plasterboard (the protection of edges of side and middle members is not shown)
Figure 6.3 — Example of protection to a bolt head
bst | ||
Unprotected edges in general | R 30 | ≥ 200 mm |
R 60 | ≥ 280 mm | |
Unprotected edges on one or two sides | R 30 | ≥ 120 mm |
R 60 | ≥ 280 mm |
Figure 6.4 — Protection of edges of steel plates (fasteners not shown): a) unprotected, b) protected by gaps, c) protected by glued-in strips, d) protected by panels
where d is the diameter of bolt or dowel, in mm.
Fv,Rk,fi = η Fv,Rk (6.5)
with
η = e−ktd,fi (6.6)
where:
Fv,Rk | is the characteristic lateral load-carrying capacity of the connection with fasteners in shear at normal temperature, see EN 1995-1-1 section 8; 39 |
η | is a conversion factor; |
k | is a parameter given in table 6.3; |
td,fi | is the design fire resistance of the unprotected connection, in minutes. |
NOTE: The design load-bearing capacity is calculated corresponding to 2.3 (2)P.
where:
k | is a parameter given in table 6.3; |
ηfi | is the reduction factor for the design load in the fire situation, see 2.4.2 (2); |
ηo | is the degree of utilisation at normal temperature; |
kmod | is the modification factor from EN 1995-1-1, subclause 3.1.3; |
γM | is the partial factor for the connection, see EN 1995-1-1, subclause 2.4.1; |
kfi | is a value according to 2.3 (4); |
γM,fi | is the partial safety factor for timber in fire, see 2.3(1). |
Connection with | k | Maximum period of validity for parameter k in an unprotected connection min |
---|---|---|
Nails and screws | 0,08 | 20 |
Bolts wood-to-wood with d ≥ 12 mm | 0,065 | 30 |
Bolts steel-to-wood with d ≥ 12 mm | 0,085 | 30 |
Dowels wood-to-wooda with of ≥ 12 mm | 0,04 | 40 |
Dowels steel-to-wooda with d ≥ 12 mm | 0,085 | 30 |
Connectors in accordance with EN 912 | 0,065 | 30 |
a The values for dowels are dependent on the presence of one bolt for every four dowels |
afi = β (treq − td,fi) (6.8)
where:
βn | is the notional charring rate according to table 3.1; |
treq | is the required standard fire resistance; 40 |
td,fi | is the fire resistance of the unprotected connection loaded by the design effect of actions in the fire situation, see 2.4.1. |
a2 ≥ a1 + 40 (6.9)
a3 ≥ a1 + 20 (6.10)
where a1, a2 and a3 are the distances, in millimetres.
where:
41a1 | is the side cover in mm, see figure 6.5; |
td,fi | is the required fire resistance period, in minutes. |
Figure 6.5 — Cross-section and definition of distances
where:
tp,min | is the minimum thickness of panel in millimetres; |
tp | is the span of the panel (spacing between timber frame members or battens) in millimetres. |
Figure 7.1 — Timber members protected by gypsum plasterboard — Examples of penetration length of fastener into unburnt timber: a) Timber frame assembly with insulation in cavity, b) Wide timber member in general
Figure 7.2 — Examples of fixing of fire protective panels to beams or columns
(Informative)
NOTE: A method for the determination of parametric time-temperature curves is given in EN 1991-1-2:2002, annex A.
with
where:
O | is the opening factor, in m0.5; |
βn | is the notional design charring rate, in mm/min; |
Av | is the total area of openings in vertical boundaries of the compartment (windows etc.), |
At | is the total area of floors, walls and ceiling that enclose the fire compartment, in m2; |
Ai | is the area of vertical opening “i”, in m2; |
heq | is the weighted average of heights of all vertical openings (windows etc.), in metres; |
hi | is the height of vertical opening “i”, in metres; |
Γ | is a factor accounting for the thermal properties of the boundaries of the compartment; |
b | is the absorptivity for the total enclosure, see EN 1991-1-2:2002, annex A; |
λ | is the thermal conductivity of the boundary of compartment, in Wm−1K−1; |
p | is the density of the boundary of the compartment, in kg/m3; |
c | is the special heat of the boundary of the compartment, in Jkg−1K−1. |
Figure A1 — Relationship between charring rate and time
with
where:
to | is the time period with a constant charring rate, in minutes; |
qt,d | is the design fire load density related to the total area of floors, walls and ceilings which enclose the fire compartment in MJ/m2, see EN 1991-1-2:2002. |
The rules given in (1) and (2) should only be used for:
where:
b | is the width of the cross-section; |
h | is the depth of the cross-section. |
where:
dchar,n | is the notional charring depth; |
b | is the width of the member. |
For 3t0 ≤ t ≤ 5t0 the modification factor for fire may be determined by linear interpolation.
NOTE: Where the reduced properties method given in 4.2.3 is invalidated by the National annex, for t ≤ 3to the modification factor for fire can be derived from the reduced cross-section method as
where:
Wef | is the section modulus of the effective cross-section determined according to 4.2.2; |
Wr | is the section modulus of the residual cross-section. |
(Informative)
NOTE: Where thermal models do not take into account phenomena such as increased heat transfer due to mass transport, e.g. due to the vaporisation of moisture, or increased heat transfer due to cracking which causes heat transfer by convection and/or radiation, the thermal properties are often modified in order to give results that can be verified by tests.
NOTE: The mechanical properties of timber given in annex B include the effects of thermal creep and transient states of moisture.
For standard fire exposure, values of thermal conductivity, specific heat and the ratio of density to dry density of softwood may be taken as given in figures B1 to B3 and tables B1 and B2.
NOTE 1: The thermal conductivity values of the char layer are apparent values rather than measured values of charcoal, in order to take into account increased heat transfer due to shrinkage cracks above about 500°C and the consumption of the char layer at about 1000°C. Cracks in the charcoal increase heat transfer due to radiation and convection. Commonly available computer models do not take into account these effects.
NOTE 2: Depending on the model used for calculation, modification of thermal properties given may be
48necessary.
Figure B1 – Temperature-thermal conductivity relationship for wood and the char layer
Temperature °C |
Thermal conductivity Wm−1K−1 |
---|---|
20 | 0,12 |
200 | 0,15 |
350 | 0,07 |
500 | 0,09 |
800 | 0,35 |
1200 | 1,50 |
Figure B2 – Temperature-specific heat relationship for wood and charcoal
49Figure B3 – Temperature-density ratio relationship for softwood with an initial moisture content of 12 %
Temperature °C |
Specific heat capacity kJ kg−1 K−1 |
Ratio of density to dry densitya |
---|---|---|
20 | 1,53 | 1 + ω |
99 | 1,77 | 1 + ω |
99 | 13,60 | 1 + ω |
120 | 13,50 | 1,00 |
120 | 2,12 | 1,00 |
200 | 2,00 | 1,00 |
250 | 1,62 | 0,93 |
300 | 0,71 | 0,76 |
350 | 0,85 | 0,52 |
400 | 1,00 | 0,38 |
600 | 1,40 | 0,28 |
800 | 1,65 | 0,26 |
1200 | 1,65 | 0 |
a ω the moisture content |
NOTE: The relationships include the effects of transient creep of timber.
50Figure B4 – Reduction factor for strength parallel to grain of softwood
Figure B5 – Effect of temperature on modulus of elasticity parallel to grain of softwood
(Informative)
Figure C1 — Notional residual cross-section of timber frame member protected by cavity insulation
βn = ks k2 kn β0 for tch ≤ t ≤ tf (C.1)
βn = ks k3 kn β0 for t ≥ tf (C.2)
where:
52kn = 1,5 | |
βn | is the notional design charring rate; |
ks | is the cross-section factor, see (3); |
k2 | is the insulation factor, see (4); |
k3 | is the post-protection factor, see (5); |
kn | is a factor to convert the irregular residual cross-section into a notional rectangular cross-section; |
β0 | is the one-dimensional design charring rate, see 3.4.2 table 3.1; |
t | is the time of fire exposure; |
tch | is the time of start of charring of the timber frame member, see C2.2; |
tf | is the failure time of the cladding, see C2.3. |
b mm |
ks |
38 | 1,4 |
45 | 1,3 |
60 | 1,1 |
k2 = 1,05 − 0,0073 hp (C.3)
k2 = 0,86 − 0,0037 hp (C.4)
where hp is the total thickness of all panel layers in millimetres.
Figure C2 — Joint configurations in gypsum plasterboard panels with one and two layers
k3 = 0,036 tf + 1 (C.5)
where tf is the failure time of the lining, in minutes.
tch = tf (C.6)
where the failure time tf is calculated according to C2.3(1).
where:
tf | is the failure time, in minutes; |
hp | is the panel thickness, in millimetres; |
βo | is the design charring rate for one-dimensional charring under standard fire exposure, in mm/min. |
tf = 2,8 hp − 14 (C.8)
NOTE: More information on test methods is given in EN 1363-1, EN 1365-1 and EN 1365-2.
with
k1 = 1,0 for panels not jointed over the timber member (C.10)
kj = 1,15 for joint configurations 1 and 3 (C.11)
54where:
tch | is the time of start of charring; |
lf | is the length of the fastener; |
la,min | is the minimum penetration length of the fastener into unburnt wood; |
hp | is the total thickness of the panels; |
ks | is the cross-section factor, see C2.1(3); |
k2 | is the insulation factor, see C2.1(4); |
kn | is a factor to convert the irregular residual cross-section into a notional rectangular cross-section, see C2.1(2); |
β0 | is the design charring rate for one-dimensional charring under standard fire exposure, see 3.4.2 table 3.1. |
The minimum penetration length lamin into unburnt wood should be taken as 10 mm.
Figure C3 — Illustration of use of steel channels for fixing panels in the ceiling
where:
tsf | is the failure time of the steel channels; |
ts | is the thickness of the steel channels; |
k3 | is the post-protection factor; |
the other symbols are given in (5).
where:
a0, a1 | are values given in table C2 and C3; |
dchar,n | is the notional charring depth according to expression (3.2) with βn according to expression (C.1) and (C.2); |
h | is the depth of the joist or the stud. |
Case | h mm |
a0 | a1 | ||
---|---|---|---|---|---|
1 | Bending strength with exposed side in tension | 95 | 0,60 | 0,46 | |
145 | 0,68 | 0,49 | |||
195 | 0,73 | 0,51 | |||
220 | 0,76 | 0,51 | |||
2 | Bending strength with exposed side in compression | 95 | 0,46 | 0,37 | |
145 | 0,55 | 0,40 | |||
195 | 0,65 | 0,48 | |||
220 | 0,67 | 0,47 | |||
3 | Compressive strength | 95 | 0,46 | 0,37 | |
145 | 0,55 | 0,40 | |||
195 | 0,65 | 0,48 | |||
220 | 0,67 | 0,47 | |||
a For intermediate values of h, linear interpolation may be applied |
Case | h mm |
a0 | a1 | ||
---|---|---|---|---|---|
1 | Compressive strength | ||||
145 | 0,39 | 1,62 |
where:
b0, b1 | are values given in tables C4 and C5; |
dchar,n | is the notional charring depth according to expression (3.2) with βn according to expression (C.1) and (C.2); |
h | is the depth of the joist. |
Case | h mm |
b0 | b1 | ||||||
---|---|---|---|---|---|---|---|---|---|
1 | Buckling perpendicular to wall plane | ||||||||
95 | 0,50 | 0,79 | |||||||
145 | 0,60 | 0,84 | |||||||
195 | 0,68 | 0,77 | |||||||
2 | Buckling in plane of wall | ||||||||
95 | 0,54 | 0,49 | |||||||
145 | 0,66 | 0,55 | |||||||
195 | 0,73 | 0,63 | |||||||
a For intermediate values of h, linear interpolation may be applied. NOTE: In the illustration to case 2 the studs are braced by noggins. |
Case | h mm |
b0 | b1 | ||||||
---|---|---|---|---|---|---|---|---|---|
1 | Buckling perpendicular to wall plane | 145 | 0,37 | 1,87 | |||||
2 | Buckling in plane of wall | 145 | 0,44 | 2,18 | |||||
a For intermediate values of h, linear interpolation may be applied. NOTE: In the illustration to case 2 the studs are braced by noggins. |
(Informative)
tch = tf (D.1
where tf is determined according to D4(1).
tch = tf (D.2)
where the failure time tf is determined according to D4(2). For definition of narrow and wide sides of timber member, see figure D1.
Figure D1 — Definition of narrow and wide sides of timber member
where:
tf | is the failure time, in minutes; |
hp | is the panel thickness, in millimetres; |
β0 | is the one-dimensional charring rate, in mm/min. |
tf = 2,8 hp − 11 (D.4)
tf = 2,8 hp − 12 (D.5)
where hp is the thickness of the cladding, in mm. For claddings consisting of two layers, the thickness hp should be taken as the thickness of the outer layer and 50 % of the thickness of the inner layer, provided that the spacing of fasteners in the inner layer is not greater than the spacing of fasteners in the outer layer.
(Informative)
NOTE: A test method is given in ENV 13381-7.
tins ≥ treq (E.1)
where:
tins | is the time taken for the temperature increases on the unexposed side given in 2.1.2(3) to occur; |
treq | is the required fire resistance period for the separating function of the assembly. |
where:
tins,0,i | is the basic insulation value of layer “i” in minutes, see E2.2; |
kpos | is a position coefficient, see E2.3; |
kj | is a joint coefficient, see E2.4. |
The relevant number of layers should be determined from table E1 and figure E1.
NOTE: A joint does not have an effect on the separating performance if it is backed with a batten or a structural element, which will prevent the travel of hot gases into the structure.
Temperature rise on unexposed side K |
Heat transfer path according to figure E1 | |
---|---|---|
General construction | 140 | a |
Joints | 180 | b |
Services | 180 | c,d |
Figure E1 — Illustration of heat transfer paths through a separating construction
tins,0 = 0,95 hp (E.3)
tins,0 = 1,1 hp (E.4)
tins,0 = 0,5 hp (E.5)
tins,0 = 1,4 hp (E.6)
where:
tins,0 | is the basic insulation value, in minutes; |
hp | is the panel thickness, in millimetres. |
tins,0,i = 0,2 hins kdens (E.7)
tins,0,i = 0,1 hins kdens (E.8)
where:
hins | is the insulation thickness in millimetres; |
kdens | is given in table E2. |
kpos = 0,07 hp − 0,17 (E.10)
where hp is the thickness of the panel on the exposed side.
Where the exposed panel is made of materials other than gypsum plasterboard type F, the position coefficient, kpos, for a void cavity and an insulation layer should be taken as 1,0. Where the exposed panel is made of gypsum plasterboard type F, the position coefficient should be taken as:
NOTE: For wood panelling the effect of joints is included in the basic insulation values tins,0 given by expression (E.5).
Cavity material | Density kg/m3 | kdens a |
---|---|---|
Glass fibre | 15 | 0,9 |
20 | 1,0 | |
26 | 1,2 | |
Rock fibre | 26 | 1,0 |
50 | 1,1 | |
a For intermediate densities, linear interpolation may be applied |
Panel on the exposed side | Thickness mm |
Position coefficient for panels backed by | |
---|---|---|---|
rock or glass fibre insulation | void | ||
Plywood with characteristic density ≥ 450 kg/m3 | 9 to 25 | Expression (E.9) | 0,8 |
Particleboard, fibreboard with characteristic density ≥ 600 kg/m3 | 9 to 25 | ||
Wood panelling with characteristic density ≥ 400 kg/m3 | 15 to 19 | ||
Gypsum plasterboard type A, H, F | 9 to 15 |
Panel on the exposed side | Thickness of panel on exposed side mm |
Position coefficient for panels preceded by | ||||
---|---|---|---|---|---|---|
Glass fibre | Rock fibre of thicknessa | Void | ||||
45 to 95 | 145 | 195 | ||||
Plywood with density ≥ 450 kg/m3 | 9 to 25 | Expression (E.10) | 1,5 | 3,9 | 4,9 | 0,6 |
Particleboard and fibreboard with density ≥ 600 kg/m3 | 9 to 25 | Expression (E.10) | 0,6 | |||
Wood panelling with density ≥ 400 kg/m3 | 15 19 |
0,45 0,67 |
0,6 | |||
Gypsum plasterboard type A, H, F | 9 to 15 | Expression (E.10) | 0,7 | |||
a For intermediate values, linear interpolation may be applied. |
Construction: Layer number and material |
Layer number | |||||
---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | ||
1, 2, 4, 5 3 |
Wood-based panel Void |
0,7 | 0,9 | 1,0 | 0,5 | 0,7 |
1, 2, 4, 5 3 |
Gypsum plasterboard type A or H Void |
1,0 | 0,8 | 1,0 | 0,8 | 0,7 |
1, 5 2, 4 3 |
Gypsum plasterboard type A or H Wood-based panel Void |
1,0 | 0,8 | 1,0 | 0,8 | 0,7 |
1, 5 2, 4 3 |
Wood-based panel Gypsum plasterboard type A or H Void |
1,0 | 0,6 | 1,0 | 0,8 | 0,7 |
1, 2, 4, 5 3 |
Wood-based panel Rock fibre batts |
0,7 | 0,6 | 1,0 | 1,0 | 1,5 |
1, 2, 4, 5 3 |
Gypsum plasterboard type A or H Rock fibre batts |
1,0 | 0,6 | 1,0 | 0,9 | 1,5 |
1, 5 2, 4 3 |
Gypsum plasterboard type A or H Wood-based panel Rock fibre batts |
1,0 | 0,8 | 1,0 | 1,0 | 1,2 |
1, 5 2, 4 3 |
Wood-based panel Gypsum plasterboard type A or H Rock fibre batts |
1,0 | 0,6 | 1,0 | 1,0 | 1,5 |
Figure E2 — Definition of layer numbers
65Joint type | kj | |
---|---|---|
a | 0,2 | |
b | 0,3 | |
c | 0,4 | |
d | 0,4 | |
e | 0,6 |
Joint type | Type | kj | ||
---|---|---|---|---|
Filled joints | Unfilled joints | |||
a | A, H, F | 1,0 | 0,2 | |
b | A, H,F | 1,0 | 0,15 |
(informative)
Figure F1 — Flow chart outlining the design procedure to check the load-bearing function of structural members
68Figure F2 — Flow chart for the design procedure of connections
69