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Guidance on Eurocode 6The purpose of this series of guides is to introduce designers to the basic
approach adopted in Eurocode 6. This is the first guide in the series of three
and provides:
A brief outline of the scope of Eurocode 6.
An introduction to design, including fire resistance and movement.
Assessment of actions and combination of actions using Eurocode*.
How to specify mortar and masonry units. Glossary of Eurocode 6 terms.
The second guide in the series, Vertical resistance1, explains how to design
for vertical actions, whilst the third guide, Lateral resistance2, covers the
design of laterally loaded masonry panels. Further information on Eurocode 6
can be found at www.eurocode6.org.
Eurocode 6Eurocode 6 comprises the following parts:
Part 11, General rules for reinforced and unreinforced masonry structures3.
Part 12, Structural fire design4. Part 2, Design considerations, selection of materials and execution of masonry5.
Part 3, Simplified calculation methods for unreinforced masonry structures6.
Each part also has a National Annex (NA) which provides the Nationally
Determined Parameters (NDPs) to be used in the application of Eurocode 6 in
the UK. The UK NDPs have been used throughout this guide. In addition
PD 6697 contains useful guidance complementary to Eurocode 67.
This series concentrates on Eurocode 6, Part 11 but includes material from
Part 2 to explain the exposure and durability requirements. The scope and
content of Part 12 and Part 3 are also briefly explained.
Eurocode 6 is intended to be used with Eurocode*: Basis of structural design8,Eurocode 1:Actions on structures9and, where appropriate, the other Eurocodes
and relevant European Standards. The guide Introduction to Eurocodes10
provides more information on the Eurocode family.
Eurocode 6 has been developed to enable the designer to use the following
types of masonry unit: clay, calcium silicate, aggregate concrete, autoclaved
aerated concrete (aircrete), manufactured stone and natural stone. European
standards for these materials have been published by BSI and form part of an
array of standards relating to masonry produced under the auspices of the
European Committee for Standardisation (CEN), committee TC/125 (Masonry).
*BS EN 1990 is entitled Eurocode, but is often referred to as Eurocode 0.
How to design masonry structures using Eurocode 6
1. Introduction to Eurocode 6Eur Ing, Prof.J J Roberts BSc(Eng), PhD, CEng, FIStructE, FICE, FIMS, FCMI, MICT O Brooker BEng, CEng, MICE, MIStructE
IntroductionThis publication is part of a series of three
guides entitled How to design masonry structures
using Eurocode 6. The aim is to make the use of
Eurocode 6, Design of masonry structuresas easy
as possible by drawing together in one place key
information and commentary required for the
design of typical masonry elements.
The Concrete Centre (and, originally, The Modern
Masonry Alliance) recognised that effective
guidance was required to ensure that the UK
design profession was able to use Eurocode 6
quickly, effectively, efficiently and with confidence.
Therefore a steering group, with members from
across the masonry industry (see back cover for a
list of members), was established to oversee the
development and publication of the original guides.
This second revision addresses the publication of
PD6697 in 2010 and revised National Annex to
BS EN 1996-1-1 in 2013. It was overseen by a
reconstituted steering group from industry (see
back cover).
Revision 2
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2
Basis of designMasonry structures are required to be designed in accordance with the
general rules given in Eurocode, which requires that:
Ed Rd
where
Ed = design value of the effect of actions
Rd = design value of the resistance
The basic requirements of Section 2 of Eurocode are deemed to be
satisfied for masonry structures when the following are applied:
Limit state design in conjunction with the partial factor method
described in Eurocode.
Actions as given in Eurocode 1. (See Assessment of actions below.)
Combination rules as given in Eurocode.
The principles and application rules given in Eurocode 6.
Thus using the partial factor method, the design value for a material
property is obtained by dividing its characteristic value by the relevant
partial factor for materials as follows:
RkRd= gM
where
Rd= design value of resistance
Rk= characteristic value of the resistance
gM= partial factor for a material property
Partial factors for materialsThe partial factors for use with masonry are given in Table NA.1 of
the National Annex to Eurocode 6, Part 11 and shown here as Table
1. Two levels of attestation of conformity are recognized, Category I
and Category II and this will be declared by the manufacturer of the
masonry units. There are also two classes of execution control that are
recognized: 1 and 2.
Assessment of actionsThe Eurocodes use the term action to refer to a set of forces,
deformations or accelerations acting on the structure; this includes
horizontal and vertical loads. The guide How to design concrete
structures using Eurocode 2: Introduction to Eurocodes9gives guidance
on determining the design value of actions and should ideally be
consulted. However, a brief explanation on how to determine the
partial factors for masonry design to Eurocode 6 is given below.
There are a number of combinations of actions that are described
in Eurocode, but for masonry design (excluding retaining structures)
the ultimate limit state, STR (STR represents an internal failure or
excessive deformation of the structure or structural member) will
normally be used. For plain masonry, Eurocode 6 indicates that,
Scope of Part 11 of Eurocode 6Part 11 describes the principles and requirements for safety,
serviceability and durability of masonry structures. It is based on the
limit state concept used in conjunction with a partial factor method.
For the design of new structures, BS EN 199611 is intended to be
used together with the other relevant Eurocodes.
Scope of Part 12 of Eurocode 6This part deals with the design of masonry structures for the
accidental situation of fire exposure and identifies differences from,
or supplements to, normal temperature design. Only passive methods
of fire protection are considered and active methods are not covered.
It addresses the need to avoid premature collapse of the structure
and to limit the spread of fire.
Scope of Part 2 of Eurocode 6This part gives the basic rules for the selection and executionof masonry to enable it to comply with the design assumptions
of the other parts of Eurocode 6. It includes guidance on factors
affecting performance and durability, storage and use of materials,
site erection and protection, and the assessment of the appearance
of masonry.
Scope of Part 3 of Eurocode 6This part provides simplified calculation methods to facilitate the
design of a range of common wall types under certain conditions of
use. The methods are consistent with Part 11 but result in more
conservative designs, and other methods are available in the UK; see'Simplified calculation methods' on page 7. The simplified methods
are not applicable to design for accidental situations, which should be
designed for in accordance with CI 5.2 of Part 11.
Scope of PD 6697This Published Document contains non-contradictory complementary
information and additional guidance for use in the UK with Part 1-1
and Part 2 of Eurocode 6.
Supporting standardsThere are European Standards that support Eurocode 6, and
whilst they were developed within a common framework, it has
not proved possible to standardise all the test methods used for
the different materials. Words like brick and block have disappeared
from the European vocabulary and they are all referred to as masonry
units. Products should be specified by their performance requirements.
The Standards that support the use of masonry in Eurocode 6 are
published by BSI. Two key factors that changed from previous UK
practice are:
The six masonry unit standards introduced methods fordetermining the compressive strength of masonry units11.
The method of determining characteristic compressive and shear
strengths of masonry changed.
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Table 1Values of gMfor ultimate limit state
Material Class of executioncontrol gM
1a 2a
Masonry
When in a state of direct or flexural compression
Unreinforced masonry made with:
Units of category I 2.3
b 2.7
b
Units of category II 2.6
b 3.0
b
Reinforced masonry made with mortar M6 or M12:
Units of category I 2.0
b c
Units of category II 2.3b c
When in a state of flexural tension
Units of category I and II but inlaterally loaded wall panels whenremoval of the panel would not affectthe overall stability of the building
2.3
b
2.0
b
2.7
b
2.4
b
When in a state of shear
Unreinforced masonry made with:
Units of category I and II 2.5
b 2.5
b
Reinforced masonry made with mortar M6 or M12:
Units of category I and II 2.0
b c
Steel and other components
Anchorage of reinforcing steel 1.5
d c
Reinforcing steel and prestressing steel 1.15
d c
Ancillary components wall ties 3.0
b 3.0
b
Ancillary components straps 1.5e 1.5e
Lintels in accordance with EN 845-212 See NA toBS EN 8452f
See NA toBS EN 8452f
Key
a Class 1 of execution control should be assumed whenever the work is carried outfollowing the recommendations for workmanship in BS EN 19962, includingappropriate supervision and inspection, and in addition:
i the specification, supervision and control ensure that the construction iscompatible with the use of the appropriate partial safety factors given inBS EN 199611;
ii the mortar conforms to BS EN 998-2, if it is factory made mortar. If themortar is site mixed, preliminary compressive strength tests, in accordancewith BS EN 1015-2 and 1015-11, are carried on the mixture of sand, lime (ifany) and cement that is intended to be used (the proportions given in TableNA.2 may be used initially for the tests) in order to confirm that the strengthrequirements of the specification can be met; the proportions may need tobe changed to achieve the required strengths and the new proportions arethen to be used for the work on site. Regular compressive strength testingis carried out on samples from the site mortar to check that the requiredstrengths are being achieved.
Class 2 of execution control should be assumed whenever the work is carried outfollowing the recommendations for workmanship in BS EN 19962, includingappropriate supervision.
b When considering the effects of misuse or accident these values may be halved.
c Class 2 of execution control is not considered appropriate for reinforced masonryand should not be used. However, masonry wall panels reinforced with bed jointreinforcement used:
i to enhance the lateral strength of the masonry panel,
ii to limit or control shrinkage or expansion of the masonry,
can be considered to be unreinforced masonry for the purpose of class of executioncontrol and the unreinforced masonry direct or flexural compression gMvalues areappropriate for use.
d When considering the effects of misuse or accident these values should be taken as 1.0.
e For horizontal restraint straps, unless otherwise specified, the declared ultimateload capacity depends on there being a design compressive stress in the masonryof at least 0.4 N/mm2. When a lower stress due to design loads may be acting,
for example when autoclaved aerated concrete or lightweight aggregate concretemasonry is used, the manufacturers advice should be sought and a partial safetyfactor of 3 should be used.
f Yet to be published.
provided the ultimate limit state is satisfied, no checks for the
serviceability limit states are required. This assumes compliance with
the limiting dimensions and ratios specified in Eurocode 6.
There are three combinations that can be used for the STR limit
state Expression (6.10), which is always conservative, or the mostonerous of Expressions (6.10a) or (6.10b) (see Table 2). For laterally
loaded masonry walls, where self-weight is usually beneficial, it will
be sufficient to use Expression (6.10) only. For vertically loaded
walls there will be some benefit in using Expression (6.10b), which,
for members supporting one variable action (except storage loads)
is the most economical of the three expressions, provided that the
permanent actions are not greater than 4.5 times the variable actions.
In Table 2 c0is a factor that reduces the design value of a variable action
when it acts in combination with another variable action (i.e. when it is
an accompanying action). The value of c0can be obtained from Table 3.
The UK NA to Eurocode values can be applied to Expression (6.10), andthis is shown in Table 4, which also shows the factors to be used when
wind loads act in combination with imposed loads. Note that wind
loads and imposed loads are both considered to be variable actions.
Table 2Design values of actions, ULS (Table A1.2 (B) of Eurocode)
CombinationExpressionreference
Permanent actions Leadingvariableaction
Accompanyingvariable action
Unfavourable Favourable
Exp. (6.10) gG,j,supGk,j,sup gG,j,infGk,j,inf gQ,1Qk,1 gQ,ic0,iQk,i
Exp. (6.10a) gG,j,supGk,j,sup gG,j,infGk,j,inf gQ,1c0,1Qk,1 gQ,ic0,iQk,i
Exp. (6.10b) jgG,j,supGk,j,sup gG,j,infGk,j,inf gQ,1Qk,1 gQ,ic0,iQk,i
Notes
Gk = characteristic value of a permanent loadQk = characteristic value of the variable actiongG,sup= partial factor for permanent action upper design valuegG,inf = partial factor for permanent action lower design valuegQ = partial factor for variable actionsc0 = factor for combination value of a variable actionj = reduction factor/distribution coefficientWhere a variable action is favourable Qkshould be taken as 0.
Table 3Recommended combination values of variable actions (c0) buildings(from UK National Annex to Eurocode)
Action c0
Imposed loads in buildings (see BS EN 199111)
Category A: domestic, residential areas 0.7
Category B: office areas 0.7
Category C: congregation areas 0.7
Category D: shopping areas 0.7
Category E: storage areas 1.0
Category F: traffic area, vehicle weight < 30 kN 0.7
Category G: traffic area, 30 kN < vehicle weight < 160 kN 0.7
Category H: roofs a 0.7
Snow loads on buildings (see BS EN 19913)
For sites located at altitude H > 1000 m above sea level 0.7
For sites located at altitude H < 1000 m above sea level 0.5
Wind loads on buildings (see BS EN 199115) 0.6
Key
aSee also 199111: Cl 3.3.2
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ImperfectionsEurocode 6 also recognizes that imperfections should be taken into
account in design and requires that, at the ultimate limit state, the
horizontal forces to be resisted at any level should be the sum of 1and 2 below.
1. The horizontal load due to the vertical load being applied to a
structure with the following notional inclination angle vto the
vertical:
1 v= radians 100 Rhtot
where
htot= the total height of the structure in metres.
Each vertical action therefore produces a horizontal action to
which the same load factor and combination factor as the vertical
load apply.2. The wind load derived from Eurocode 1, Parts 14 multiplied by
its partial factor and distributed across the elements resisting the
load in proportion to their stiffness.
MortarThe way in which mortar is specified is shown in Table 5. The primary
method of designation for mortar is the strength grade. Thus an M12
mortar should have a minimum compressive strength of 12 N/mm2
at 28 days. Eurocode 6 recognises three types of masonry mortar:
general purpose, thin layer and lightweight mortar, and they may all
be either designed or prescribed (see Glossary).
The use of mortars should be in accordance with the recommendations
given in Eurocode 6, Part 2. For site made mortars, the mixing of the
mortar should be in accordance with Part 2 (PD 66977provides more
detailed information). For factory made, semi-finished factory made
and pre-batched masonry mortars, BS EN 998213applies.
Table 4Design values of actions derived for UK design, ultimate limit state
Combinationexpressionreference
Permanent actions Leadingvariable action(unfavourable)
Accompanyingvariable actions(unfavourable)Unfavourable Favourable
Combination of permanent actions and one variable action
Exp. (6.10) 1.35 Gka 1.0 Gk
a 1.5 Qkb
Exp. (6.10a) 1.35 Gka 1.0 Gk
a 1.5 c0-1bQk
Exp. (6.10b) 0.925 x1.35Gka 1.0 Gk
a 1.5 Qk
Combination of permanent actions, wind load (Qk,W) and imposed load (Qk,I)
Exp. (6.10)Case 1
1.35 Gka 1.0 Gk
a 1.5 Qk,W 1.05cQk,I
Exp. (6.10)Case 2
1.35 Gka 1.0 Gk
a 1.5 Qk,I 0.75dQk,W
Key
a Where the variation in permanent action is not considered significant Gk,j,supand Gk,j,inf
may be taken as Gkb Where a variable action is favourable Qkshould be taken as 0
cThe value of c0has been taken as 0.7, for storage loads c0= 1.0 and a factor of 1.5must be used
d The value of c0has been taken as 0.5
For designed mortars, the compressive strength of the mortar provides
the control of the hardened mortar quality, whereas prescribed
mortars use set proportions. When samples are taken from a designed
mortar in accordance with BS EN 1015214, and tested in accordance
with BS EN 10151115, the compressive strength of the mortar
should not be less than the declared compressive strength.
Durability of materialsEurocode 6, Part 2 gives the basic rules for selection of mortar
and masonry units for durability. Exposure conditions are defined in
CI 2.1.2(3) of Part 2, with further guidance given in Annexes A, B
and C. The UK NA to Part 2 advises that Annexes B and C should not
be used because the information is not as extensive as that given in
PD 6697; this advice is included in Table 6.
Structural fire designEurocode 6, Part 12 provides information on the passive fire
resistance of masonry walls so that the designer can ensure that the
loadbearing performance is maintained for the necessary period of
time and that the fire is appropriately contained.
Designers will find that the tabulated data covers most situations but there
is also the provision for testing and calculations. (Calculation methods
are excluded by the UK NA to Part 12.) The tables cover loadbearing
and non-loadbearing walls, single leaf, cavity and separating walls.
Table 5Acceptable assumed equivalent mixes for prescribed masonry mortarsfor use with Class 2 of Execution control
Com-pressivestrengthclassa
Prescribed mortars (traditional proportionof materials by volume) (see Note)
Mortardesign-ation
Suitablefor use inenviron-mentalcondition
Cementb:lime: sandwith orwithoutair entrain-ment
Cementb:sand withor withoutair entrain-ment
Masonrycementc :sand
Masonrycementd:sand
M12 1:0 to : 3 1:3 Notsuitable
Notsuitable
(i) Severe(S)
M6 1
:
: 4 to
4
1
:
3 to 4 1
:
2 to
3
1
:
3 (ii) Severe(S)
M4 1
:
1: 5 to 6 1
:
5 to 6 1
:
4 to 5 1
:
3 to 4 (iii) Moderate(M)
M2 1:2: 8 to 9 1:7 to 8 1:5 to6
1:4 (iv) Passive(P)
Key
a The number following the M is the compressive strength for the class at 28 daysin N/mm2that may be assumed for the proportions given in columns 2 to 4; sitecompressive strength testing is not required for these traditional mixes. Checking ofprescribed mortars should only be done by testing the proportions of the constituents.
b Cement or combinations of cement (which include CEM I and many CEM IIs) in accordancewith NA.2.3.2, except masonry cements
c Masonry cement in accordance with NA.2.3.2, (inorganic filler other than lime)
d Masonry cement in accordance with NA.2.3.2 (lime)
Notes
When the sand portion is given as, for example, 5 to 6, the lower figure should be used
with sands containing a higher proportion of fines whilst the higher figure should be usedwith sands containing a lower proportion of fines.
For Class 2 of execution control site compressive strength testing is not required for thesetraditional mixes and checking of prescribed mortars should only be done by testing theproportions of the constituents.
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Table 6Durability of masonry in finished condition
Masonry conditionor situationa
Quality of masonry units and appropriate mortar designations
Clay unitsb Calcium silicate units Aggregate concrete bricks Aggregate concreteand autoclaved aerated
concrete blocksA Work below or near external ground level
A1 Low risk of saturation Without freezing: LD F0 and S0 or HD: F0,F1 or F2 and S0, S1 or S2 in M12, M6 or M4
With freezing: HD F1 or F2 and S0, S1 orS2 in M12, M6 or M4 unless a manufactureradvises against the use of HD-F1
Without or with freezing:
Compressive strength class 20or above in M4 or M2
Without or with freezing:
Compressive strength16.5 N/mm2or above in M4
Without or with freezing:
As Notes 4A, 4B, 4C or 4Dc.
All in M4 or M2d
A2 High risk of saturationwithout freezinge
HD F1 or F2, and S1 and S2 in M12 or M6 Compressive strength class 20or above in M6 or M4
Compressive strength 16.5 N/mm2or above in M6 or M4
As for A1 in M6 or M4
A3 High risk of saturationwith freezinge
HD F2 and S1 or S2 in M12 or M6 Compressive strength class 20or above in M6 or M4
Compressive strength 22 N/mm2or above in M6 or M4
As for A1 in M6
B Masonry d.p.c.s
B1 In buildings D.P.C units, max. water absorption 4.5% in M12fg Not suitable Not suitable Not suitable
B2 In external works D.P.C. units, max. water absorption 7 % inM12fg
Not suitable Not suitable Not suitable
C Unrendered external walls (other than chimneys, cappings, copings, parapets and sills)hC1 Low risk of saturation HD F1 or F2 and S1 or S2 in M12, M6 or
M4Compressive strength class 20or above in M4 or M2
Compressive strength7.3 N/mm2or above in M4
Any in M4 or M2
C2 High risk of saturation HD F2 and S1 or S2 in M12 or M6 Compressive strength class 20or above in M4
Compressive strength18 N/mm2or above in M4
Any in M4
D Rendered external walls (other than chimneys, cappings, copings, parapets, sills) ij
Rendered external walls HD F1 or F2 and S1 or S2 in M12, M6 or M4 Compressive strength class 20or above in M4 or M2
Compressive strength7.3 N/mm2or above in M4
Any in M4 or M2
E Internal walls and inner leaves of cavity walls above d.p.c level
Internal walls and inner leavesof cavity walls
LD F0 and S0 or HD: F0, F1 or F2 and S0, S1or S2 in M12, M6, M4 or M2
Compressive strength class 20or above in M4 or M2
Compressive strength 7.3 N/mm2or above in M4 or iv
Any in M4 or M2
F Unrendered parapets (other than cappings and copings)klm
F1 Low risk of saturation e.g.low parapets on somesingle storey buildings
HD F1 or F2 and S1 or S2 in M12, M6 orM4
Compressive strength class 20or above in M4
Compressive strength22 N/mm2or above in M4
As Notes 4A, 4B, 4C or 4Dcin M4.
R2 High risk of saturation e.g.where a capping only is providedfor the masonry
HD F2 and S1 or S2 in M12 or M6 Compressive strength class 20or above in M4
Compressive strength22 N/mm2or above in M4
As for F1 in M6
G Rendered parapets (other than cappings and copings)jo
Rendered parapets HD F1 or F2 and S2 in M12, M6 or M4 orHD F1 or F2 and S1 in M12 or M6
Compressive strength class 20or above in M4
Compressive strength7.3 N/mm2or above in M4
Any in M4
H Chimneysn
H1 Unrendered with low riskof saturation
HD F1 or F2 and S1 or S2 in M12, M6 orM4
Compressive strength class 20or above in M4
Compressive strength12 N/mm2or above in M4
Any in M4
H2 Unrendered with high riskof saturation
HD F2 and S1 or S2 in M12 or M6 Compressive strength class 20or above in M4
Compressive strength16.5 N/mm2or above in M4
As Notes 5A, 5B, 5C or 5Dcin M6.
H3 Rendered HD F1 or F2 and S2 in M12, M6 or M4 orHD F1 or F2 and S1 in M12 or M6
Compressive strength class 20or above in M4
Compressive strength7.3 N/mm2or above in M4
Any in M4
I Cappings, copings and sillskl
Cappings, copings and sills HD F2 and S1 or S2 in M12 Compressive strength class 30or above in M6
Compressive strength33 N/mm2or above in M6
As Notes 4A, 4B or 4C in M6.
J Freestanding boundary and screen walls (other than cappings and copings)J1 With coping HD F1 or F2 and S1 in M12 or M6 or HD
F1 or F2 and S2 in M12, M6 or M4Compressive strength class 20or above in M4
Compressive strength16.5 N/mm2or above in M4
Any in M4
J2 With capping HD F2 and S1 or S2 in M12 or M6 Compressive strength class 20or above in M4
Compressive strength22 N/mm2or above in M4
As Notes 5A, 5B, 5C or 5Din M6.
K Earth-retaining walls (other than cappings and copings)p
K1 Waterproofing retainingface and coping
HD F1 or F2 and S1 or S2 in M12 or M6 Compressive strength class 20 orabove in M6 or M4
Compressive strength16.5 N/mm2or above in M6
As Notes 5A, 5B, 5C or 5Dcin M4.
K2 With coping or cappingbut no waterproofing onretaining face
HD F2 and S1 or S2 in M12 Compressive strength class 30 orabove in M6
Compressive strength33 N/mm2or above in M12or M6
As for K1 but in M12 or M6q
L Drainage and sewage, e.g. inspection chambers and manholes
L1 Surface water Engineering bricks or F1 or F2 and S1 or S2in M12
Compressive strength class 20 orabove in M6 or M4
Compressive strength22 N/mm2or above in M4
As Notes 5A, 5B or 5C in M4.
L2 Foul drainage (continuouscontact with masonry)
Engineering bricks or F1 or F2 and S1 or S2in M12
Compressive strength class 50 orabove in M6r
Compressive strength 48 N/mm2or above with cement content
350 kg/m3in M12 or M6
Not suitable
L3 Foul drainage (occasionalcontact with masonry)
Engineering bricks or F1 or F2 and S1 or S2in M12
Compressive strength class 20 orabove in M6 or M4r
Compressive strength 48 N/mm2or above with cement content 350 kg/m3in M12 or M6
Not suitable
1. Introduction to Eurocode 6
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Reinforced andprestressed masonryEurocode 6, Part 11 contains information relating to the design of
reinforced masonry, but provides no application rules on the design of
prestressed masonry. Annex J of Part 1-1 provides additional guidance
for reinforced masonry when subjected to shear. PD 6697 extends the
information provided in Part 1-1 for both reinforced and prestressed
masonry as well giving guidance on the use of bed joint reinforcement
to enhance resistance to lateral loads.
Masonry movementThe potential for movement in completed masonry needs to be
allowed for in design, and Eurocode 6, Part 2 makes recommendations
for controlling differential movements; for example, the use of
movement tolerant ties between the leaves of a cavity wall.
Movement joints need to be provided to deal with the effects of
moisture, temperature and movement caused by other agents. The
position of movement joints needs to be considered with care to
ensure that the structural integrity of the wall is maintained. Factors
affecting the location of joints include:
The type and group of masonry unit.
The geometry of the structure.
The degree of restraint.
The effect of loading, thermal and climatic conditions.
Requirements for fire, sound and thermal performance.
The presence of reinforcement.
Movement joints that pass through the full thickness of the wall should
be provided. The maximum horizontal distance, lm, between vertical
movement joints for use for all walls in the UK (in the absence of other
guidance from the manufacturer) is shown in Table 7.
Execution of masonryEurocode 6, Part 2 gives guidance on the execution of masonry including:
Permissible deviations.
Jointing and pointing.
Storage, preparation and use of materials on site.
Masonry protection during execution.
Further detail on the first two points is given in the following paragraphs.
Permissible deviationsThe permissible deviations of the constructed masonry from the
position in which it is intended to be built should form part of the
design specification. The permissible deviations should not normally be
greater than the values shown in Table 8 for structural imperfections.
Mortar pointingMost masonry is constructed in such a way that the bedding mortar also
forms the tooled surface of the finished mortar joint. If it is necessary to
point the mortar joint the unhardened mortar should be raked out to a
depth not less than 15 mm, but no more than 15% of the wall thickness.
How to design masonry structures using Eurocode 6
Table 6 Continued from page 5
Notes
1 Table 6 is a reduced version of the information provided in PD 6697which should be consulted when detailed guidance is required.
2 For designations (i), (ii), (iii) and (iv) see Table 5.3 LD - clay masonry unit with a low gross dry density for use in protected masonry.
HD - clay masonry unit for unprotected masonry as well as clay masonryunit with a high gross dry density for use in protected masonry.
4 Categories used for clay masonry for freeze/thaware as follows:
F0 Passive exposure F1 Moderate exposure F2 Severe exposure.
Categories used for clay masonry for active saltcontent are as follows:
S0 No requirement for active salt content S1 Limited active salt content (see BS EN 7711, Cl. 5.3.9) S2 Limited active salt content (see BS EN 7711, Cl. 5.3.9).
5 Concrete block options: A Of net density 1500 kg/m3
B Made with dense aggregate conforming to BS EN 12620
C Having a compressive strength of 7.3 N/mm2D Most types of autoclaved aerated block (consult manufacturer).
Key
a Refer to PD 6697 for guidance on sulfatebearing ground.
b Consult masonry unit manufacturer for usebelow or near ground level.
c Consult masonry unit manufacturer.
d M2 mortar does not meet the minimumrequirements of Approved Document Aand if used refer to PD 6697 for limitationsand guidance.
e Masonry is very vulnerable between 150mmabove and 150mm below finishedground level. Refer to PD 6697 and consultmanufacturer as required.
f Masonry dpcs do not resist waterpercolating downward.
g Dpcs of clay units are not normally suitablefor use with other types of unit.
h Protect with good roof overhang anddetailing.
i Rendered walls are suitable for mostwind driven rain conditions.
j For rendered walls follow guidance inPD 6697.
k AAC blocks are not suitable for cappings,copings and cills.
l Bed dpcs for cappings, copings and cillsin same mortar as the masonry units.
mParapets are likely to be severely exposed -coping and dpc should be provided.
n For chimneys follow guidance in PD 6697.
o Single leaf walls should be rendered onlyon one face.
p Masonry in retaining walls particularlyprone to frost and sulfate attack.Check with unit manufacturer.
q Some types of aggregate concrete unitsare not suitable for capping and copings.
r Some types of calcium silicate units arenot suitable for foul drainage.
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1. Introduction to Eurocode 6
References
1 ROBERTS, J J & BROOKER, O How to design masonry structures using Eurocode 6: Vertical resistance (TCC/03/36). The Concrete Centre, 2013. 2 ROBERTS, J J & BROOKER, O How to design masonry structures using Eurocode 6: Lateral resistance (TCC/03/37). The Concrete Centre, 2013.
3 BRITISH STANDARDS INSTITUTION. BS EN 199611: Eurocode 6 Design of masonry structures. General rules for reinforced and unreinforced masonry
structures. BSI, 2005. Including NA to BS EN 1996-1-1:2005+A1:2012.
4 BRITISH STANDARDS INSTITUTION. BS EN 199612: Eurocode 6 Design of masonry structures. General rules. Structural fire design . BSI, 2005.
Including NA to BS EN 1996-1-2:2005:2007.
5 BRITISH STANDARDS INSTITUTION. BS EN 19962: Eurocode 6 Design of masonry structures. Design considerations, selection of materials and
execution of masonry. BSI, 2006. Including NA to BS EN 1996-2:2006:2007.
6 BRITISH STANDARDS INSTITUTION. BS EN 19963: Eurocode 6 Design of masonry structures. Simplified calculation methods for unreinforced masonry
structures. BSI, 2006. Including NA to BS EN 1996-3:2006:2007.
7 BRITISH STANDARDS INSTITUTION. PD 6697. Recommendations for the design of masonry structures to BS EN 1996-1-1 and BS EN 1996-2 . BSI, 2010.
8 BRITISH STANDARDS INSTITUTION. BS EN 1990: Eurocode Basis of structural design. BSI, 2002. Including NA to BS EN 1990:2002+A1:2005:2004.
9 BRITISH STANDARDS INSTITUTION. BS EN 1991: Eurocode 1 Actions on structures. BSI (10 parts). Including their NAs.
10 NARAYAN, R S & BROOKER, O. How to design concrete structures using Eurocode 2: Introduction to Eurocodes(TCC/03/16). The Concrete Centre, 2005.
11 BRITISH STANDARDS INSTITUTION. BS EN 771: Specification for masonry units. BSI, 2011 (6 Parts).
12 BRITISH STANDARDS INSTITUTION. BS EN 8452: Specification for ancillary components for masonry Lintels . BSI, 2013.
13 BRITISH STANDARDS INSTITUTION. BS EN 9982: Specification for mortar for masonry: Masonry mortar. BSI, 2013.
14 BRITISH STANDARDS INSTITUTION. BS EN 10152: Methods of test for mortar for masonry: Bulk sampling of mortars and preparation of test mortars. BSI, 1999.
15 BRITISH STANDARDS INSTITUTION. BS EN 101511: Methods of test for mortar for masonry: Determination of flexural and compressive strength of
hardened mortar. BSI, 1999.
16 DEPARTMENT FOR COMMUNITIES AND LOCAL GOVERNMENT, Building regulations (England and Wales) Approved Document A (2004). DCLG, revised 2006.
17 SCOTTISH BUILDING STANDARDS AGENCY. Scottish building standards technical handbooks: domestic for compliance with 'Building Scotland
regulations 2004'. SBSA, 2007.
18 THE STATIONERY OFFICE. The Building Regulations (Northern Ireland) 1994 Technical Booklet D: Structure. TSO, 2000.
19 BRITISH STANDARDS INSTITUTION. BS 81032: Structural design of low-rise buildings Code of practice for masonry walls for housing . BSI, 2005.
20 BRITISH STANDARDS INSTITUTION. BS 772: Methods of test for masonry units. BSI (20 parts).
Simplified calculationmethods
Eurocode 6, Part 3 contains simplified calculation methods forunreinforced masonry structures. These methods are based on the
principles contained in Part 1 and should not be confused with simple
rules developed on the basis of experience. In general, these methods
are more conservative than design based on Part 1 and have not,
historically, been used in the UK, unlike some European countries. In the
UK guidance on the Building Regulations1618and BS 8103219provide
a very effective and economic set of simple rules for low rise masonry
and it is anticipated that these will continue to be the primary method
of demonstrating compliance for many small buildings.
Table 8Permissible deviations for structural design purposes
Position Maximum deviation
Verticality
In any one storey 20 mm
In total height of building of threestoreys or more
50 mm
Vertical alignment 20 mm
Straightnessa
In any one metre 10 mm
In 10 metres 50 mm
Thickness
Of wall leafb 5 mm or 5 % of the leafthickness, whichever is the greater
Of overall cavity wall 10 mm
Key
a Deviation from straightness is measured from a straight reference line between anytwo points.
b Excluding leaves of single masonry unit width or length, where the dimensionaltolerances of the masonry units govern the leaf thickness.
Table 7Maximum horizontal distance between vertical movement joints inwalls (in the absence of other guidance from the manufacturer)
Type of masonry lm(m)
Clay masonry unreinforced 15a
Calcium silicate masonry 9 b
Aggregate concrete and manufactured stone masonry 9b
Autoclaved aerated concrete masonry 9 b
Natural stone masonry 20 c
Key
a The value for clay masonry walls containing bed joint reinforcement may be greaterthan 15 m subject to expert advice.
b This value applies when the ratio, length to height of panel, is 3 to 1 or less. It shouldbe reduced for long horizontal panels of masonry which lie outside this ratio.
c When using this figure, movement joints should be located at not more than 8 mfrom the corner.
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All advice or information from MPA The Concrete Centre (TCC) et al is intended only for use in the UK by those who will evaluate thesignificance and limitations of its contents and take responsibility for its use and application. No liability (including that for negligence) forany loss resulting from such advice or information is accepted by TCC or their subcontractors, suppliers or advisors. Readers should note that
the publications from TCC et al are subject to revision from time to time and should therefore ensure that they are in possession of thelatest version.
Ref: TCC/03/35. ISBN 978-1-904818 -56-4First published November 2007(in partnership with the Modern Masonry Alliance)revised January 2009 and June 2013Price Group M MPA The ConcreteCentre
Glossary of Eurocode 6 terminology
Term Definition
Adhesion The effect of mortar developing a tensile or shear resistance at the contact surface of masonry units.
Category I masonry unit Units with a declared compressive strength with a probability of failure to reach it not exceeding 5%.This may be determined via the mean or characteristic value.
Category II masonry unit Units not intended to comply with the level of confidence of Category 1 units.
Confined masonry Masonry provided with reinforced concrete or reinforced masonry confining elements in the vertical andhorizontal direction. (Not usually used in the UK.)
Designed masonry mortar A mortar whose composition and manufacturing method is chosen in order to achieve specified properties(performance concept).
General purpose masonry mortar Masonry mortar without special characteristics.
Griphole A formed void in a masonry unit to enable it to be more readily grasped and lifted with one or both hands orby machine.
Groups 1, 1s, 2, 3 and 4 Group designations for masonry units, according to the percentage, size and orientation of holes in the unitsmasonry units when laid. Note: The group designation will normally be declared by the manufacturer. Historically only Groups
1, 1sand 2 units have been used in the UK. Group 1s is referred to in BS EN 199612.
Hole A formed void which may or may not pass completely through a masonry unit.
Lightweight masonry mortar Designed masonry mortar with a dry hardened density below a prescribed figure.
Normalized compressive The compressive strength of masonry units converted to the air dried compressive strength of an equivalentstrength of masonry units 100 mm wide x 100 mm high masonry unit (see BS EN 772-120).
Orthogonal ratio, m The ratio of the flexural strength of masonry when failure is parallel to the bed joints to that when failure isperpendicular to the bed joints.
Prescribed masonry mortar Mortar made in predetermined proportions, the properties of which are assumed from the stated proportionsof the constituents (recipe concept).
Shell The peripheral material between a hole and the face of a masonry unit.
Shell bedded wall A wall in which the masonry units are bedded on two or more strips of mortar, two of which are at theoutside edge of the bed face of the units.
Thin layer masonry mortar Designed masonry mortar with a maximum aggregate size less than or equal to a prescribed figure.
Web The solid material between the holes in a masonry unit.
1. Introduction to Eurocode 6
For more information on Eurocode 6 and other questionsrelating to the design, use and performance of concrete units,visit www.eurocode6.org
Published by The Concrete Centre
Gillingham House, 38-44 Gillingham Street, London, SW1V 1HU
Tel: +44 (0)207 963 8000 | www.concretecentre.com
Members of the steering groupAli Arasteh, Brick Development Association; Owen Brooker, The
Concrete Centre; Ken Fisher, International Masonry Society; Cliff Fudge,
Aircrete Products Association; Charles Goodchild, The Concrete Centre;
Gerry Pettit, Concrete Block Association; John Roberts, Consultant.
Members of the steering group for 2nd revisionCliff Fudge, Aircrete Products Association; Charles Goodchild, The
Concrete Centre; Simon Hay, Brick Development Association; Andy
Littler, Concrete Block Association; John Roberts, Consultant; Guy
Thompson, The Concrete Centre.
AcknowledgementsThis publication was jointly sponsored by the following organisations:
Aircrete Products Association- www.aircrete.co.uk
Brick Development Association- www.brick.org.uk
Concrete Block Association- www.cba-blocks.org.uk
MPA - Mortar Industry Association- www.mortar.org.uk
MPA - The Concrete Centre- www.concretecentre.com
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Guidance for vertical resistanceThis guide is the second in a series of three giving guidance on the design of
masonry structures to Eurocode 61. The first guide, Introduction to Eurocode 62
gives an introduction to design and assessment of actions using Eurocode 6 and
also covers the specification and execution (workmanship) of masonry. This guide
explains how to design for vertical actions and determine vertical resistance. The
third guide in the series3 covers the design of laterally loaded masonry panels.
Throughout this guide the Nationally Determined Parameters (NDPs) from the UKNational Annexes (NAs) have been used. These enable Eurocode 6 to be applied in
the UK.
Design procedureThis guide explains how to determine the design resistance for a vertically loaded
wall. The first guide in the series, Introduction to Eurocode 6, should be referred to
so that the design load can be determined. In essence, when using the Eurocodes
the designer should check that the resistance is greater than or equal to the
effect of the actions. A flow chart for the design of masonry walls to resist vertical
actions is shown as Figure 1.
Compressive strengthEurocode 6 introduces some new concepts when dealing with the design of
masonry for vertical loads. The first of these relates to the way the compressive
strength of the masonry units is expressed. For design purposes the normalized
compressive strength,fb, of the masonry units is used. This is the compressive
strength of the units converted to the air-dried compressive strength of an
equivalent 100 mm wide by 100 mm high masonry unit. The detail is contained
in Part 1 of BS EN 772, Methods of test for masonry units4
. The advantage to thedesigner is that the normalized strength is independent of the size and shape of
the units used in the final construction.
Grouping of masonry unitsThe second change relates to the way in which masonry units are classified. This is
dealt with by grouping masonry into one of four groups as shown in Table 3.1 of
Eurocode 6. The group designation will normally be declared by the manufacturer.
The designation depends upon the volume and direction of holes in the unit and
the thickness of webs and shells. Historically only Group 1 and Group 2 units have
been used in the UK, so only values for these groups are given in the UK NAs.
How to design masonry structures using Eurocode 6
2. Vertical resistanceEur Ing, Prof.J J Roberts BSc(Eng), PhD, CEng, FIStructE, FICE, FIMS, FCMI, MICT O Brooker BEng, CEng, MICE, MIStructE
IntroductionThis publication is part of a series of three
guides entitled How to design masonry structures
using Eurocode 6. The aim is to make the use of
Eurocode 6, Design of masonry structuresas easy
as possible by drawing together in one place key
information and commentary required for the
design of typical masonry elements.
The Concrete Centre (and, originally, The Modern
Masonry Alliance) recognised that effective
guidance was required to ensure that the UK
design profession was able to use Eurocode 6
quickly, effectively, efficiently and with confidence.
Therefore a steering group, with members from
across the masonry industry (see back cover for a
list of members), was established to oversee the
development and publication of the original guides.
This second revision addresses the publication of
PD6697 in 2010 and revised National Annex to
BS EN 1996-1-1 in 2013. It was overseen by a
reconstituted steering group from industry (see
back cover).
Revision 2
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For blocks laid flat, Table 8 of the National Annex to Eurocode 6,
Part 11 contains a specific value for Kto be used in Equation (3.1)
of Eurocode 6, Part 11.
The following limitations are placed on Equation (3.1):
The masonry is detailed and constructed in accordance with the
requirements of BS EN 199611, section 8.
fbis taken to be not greater than 110 N/mm2when units are laid
in general purpose mortar and 50 N/mm2when laid in thin layer
mortar (fbis determined in the normal direction of loading).
fmis taken to be not greater than fbnor greater than 12 N/mm2
when units are laid in general purpose mortar or 10 N/mm2when
units are laid in lightweight mortar.
The coefficient of variation of the strength of the masonry unit is
not more than 25%.
For masonry made with general purpose mortar, adjustments are
made to the value of Kas shown in Figure 2.
In addition the following points should be noted:
For masonry made of general purpose mortar where Group 2
and Group 3 aggregate concrete units are used with the vertical
cavities filled completely with concrete, the value offbshould
be obtained by considering the units to be Group 1 having a
compressive strength corresponding to the compressive strength of
the units or of the concrete infill, whichever is the lesser.
The characteristiccompressive strength of
masonryThe characteristic compressive strength of masonry (other than
shell bedded masonry) is determined from the results of tests in
accordance with BS EN 105215. The tests are carried out on small
wallette specimens rather than the storey-height panels used in the past.
The designer has the option of either testing the units intended to be
used in a project or using the values determined from a database. Values
from a large database are provided in the UK NA to Eurocode 6, Part 11
in the form of the constants to be used in the following equation:
fk= Kfba fm
b [Equation (3.1) of Eurocode 6, Part 11]
where
fk = characteristic compressive strength of the masonry, in N/mm2
K = constant see Table 1 and Figure 2
a, b= constants see Table 2
fb = normalized mean compressive strength of the units, in the
direction of the applied action effect, in N/mm2
fm = compressive strength of the mortar, in N/mm2
Figure 1Flow chart for the design of masonry walls to resist vertical actions
.
Obtain gMfrom table 1 of
Introduction to Eurocode 6
Determine requirementsfor mortar strength anddurability. See tables 5& 6 of Introduction to
Eurocode 6
Determine effective height, hef,of the wall (see page 4)
Check slenderness ratio hef/tef 27
Check area 0.04 m2
Determine eccentricity (see page 5)
Determine capacity reduction factors,Fmand Fi from (see page 6)
Determine normalizedcompressive strength, fb.
Characteristic vertical actions
Check EdNRd
Check complete
Calculate design resistance(per unit length) from least
favourable of:NRd= Fmtfk/ gM
andNRd= Fitfk/ gM
Where cross-sectional area,A< 0.1 m2, factor fkby (0.7 + 3A)
Determine design value ofvertical actions (per unit
length), Ed, using Expression(6.10), (6.10a) or (6.10b) of
Eurocode (see Introduction toEurocode 6)
Masonry unit properties Type and group Dimensions Strength
Determine characteristic compressive strength of masonry,fk, from Equation (3.1) of Eurocode 6 and Tables 1 & 2
Determine effective thickness,tef,of the wall (see page 4)
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For collar jointed aggregate concrete masonry made with general
purpose mortar, with or without the collar filled with mortar, the unit
shape factor correction to obtain the normalized strength should use the
width of the wall as the unit width and the height of the masonry units.
Where action effects are parallel to the direction of the bed joints, the
characteristic compressive strength may be determined fromEquation (3.1) withfbderived from BS EN 7721, where the direction
of application of the load to the test specimens is in the same
direction as the direction of the action effect in the masonry, but with
the shape factor, d, as given in BS EN 7721 taken to be no greater
than 1.0. For Group 2 and 3 units, Kshould then be multiplied by 0.5.
Table 1Values of Kto be used with equation (3.1)
Masonryunit
Generalpurposemortar
Thin layermortar(bed joint 0.5 mm and3 mm)
Lightweight mortarof density (kg/m3)
600 rd800
800 < rd1300
ClayGroup 1 0.50 0.75 0.30 0.40
Group 2 0.40 0.70 0.25 0.30
Group 3 and 4 a a a a
Calcium silicate
Group 1 0.50 0.80 b b
Group 2 0.40 0.70 b b
Aggregate concrete
Group 1 0.75 0.90 0.45 0.45
Group 1c(units laid flat)
0.50d 0.70d 0.40d 0.40d
Group 2 0.70 0.76 0.45 0.45
Group 3 and 4 a
a
a
a
Autoclaved aerated concrete
Group 1 0.75 0.90 0.45 0.45
Manufactured stone
Group 1 0.75 0.90 b b
Dimensioned natural stone
Group 1 0.45 b b b
Key
a Group 3 and 4 units have not traditionally been used in the UK, so no values are available.
b These masonry unit and mortar combinations have not traditionally been used inthe UK, so no values are available.
c If Group 1 aggregate concrete units contain formed vertical voids in the normal direction,multiply Kby (100 n) /100, where nis the percentage of voids, maximum 25%.
d When aggregate concrete masonry units are to be used laid flat the normalised strength
of the unit should be calculated using the width and height of the unit in the uprightposition along with the compressive strength of the unit tested in the upright position.
Note
Where a mortar joint is parallel to the face of the wall Kshould be modified (see Figure 2)
Table 2Values to be used in Equation (3.1)
Type of mortar Values to be used
General purpose mortar a= 0.7 and b= 0.3
Lightweight mortar a= 0.7 and b= 0.3
Thin layer mortar in bed joints of thickness 0.5to 3 mm (using clay units of Group 1, calciumsilicate units, aggregate concrete units and
autoclaved aerated concrete units)
a= 0.85 and b= 0
Thin layer mortar in bed joints of thickness 0.5 to3 mm (using clay units of Group 2)
a= 0.7and b= 0
When the perpendicular joints are unfilled, Equation (3.1) may be
used, with consideration of any horizontal actions that might be
applied to, or be transmitted by, the masonry. (See also CI. 3.6.2(4)
of BS EN 199611.)
The characteristiccompressive strength ofshell bedded masonryShell bedding provides two strips of mortar rather than a full mortar bed.
It serves to improve rain penetration resistance but reduces the strength
of the masonry. A typical shell bedded unit is shown in Figure 3.
For Group 1 and Group 4 units the procedure above may be used to
obtain the characteristic compressive strength of the masonry.
Figure 2Modifications to Kfor units laid with general purpose mortar
Plan sections of bonded masonry
a) Kfrom Table 1
b) Kfrom Table 1
c) Kfrom Table 1 multiplied by 0.8
d) Kfrom Table 1 mult iplied by 0.8
Masonrythickness
Masonrythickness
Masonry
thickness
Masonrythickness
Figure 3Shell bedding
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4
provided that:
The width of each strip of mortar is at least 30 mm.
The thickness of the masonry wall is equal to the width or length
of the masonry units so that there is no longitudinal mortar joint
through all or part of the length of the wall. The ratio g/tis not less than 0.4
where
g= total width of the mortar strips
t= the thickness of the wall.
Kis taken as above when g/t= 1.0 or half this value when g/t= 0.4.
Linear interpolation may be used for intermediate values.
Groups 2 and 3 may be designed as non-shell bedded masonry
provided that the normalized mean compressive strength of the units
used in Equation (3.1) is obtained from tests carried out in accordance
with BS EN 77214for shell bedded units.
Effective heightThe effective height of a masonry wall is obtained by applying a factor
to the clear height of the wall such that:
hef= rnh
where
hef = effective height of the wall
h = clear storey height of the wall
rn = reduction factor, where n= 2, 3 or 4, depending upon the
edge restraint or stiffening of the wall
The reduction factor to be applied depends upon the restraint offered
by adjoining elements. Masonry walls may be stiffened by a number
of rigid structural elements such as floors, roofs and other walls.
Stiffening walls should have a length of at least 1/5 of the clear height
Figure 4Minimum length of stiffening wall with openings
h2(window)
h2(door)
h
Stiffened wall Stiffening wall
>h/5 h1
t
1 (h1+ h
2)
5 2> t
and have a thickness of at least 0.3 times the effective thickness of
the wall to be stiffened. When the stiffening wall contains openings,
the minimum length of wall should be as shown in Figure 4 and the
stiffening wall should extend a distance of at least 1/5 of the storey
height beyond each opening.
Where a wall is restrained at the top and bottom by reinforced
concrete floors or roofs spanning from both sides at the same level or
by a reinforced concrete floor spanning from one side only and having
a bearing of at least 2/3 of the thickness of the wall then:
r2= 0.75
unless the eccentricity of the load at the top of the wall is greater
than 0.25 times the thickness of the wall, in which case r2= 1.0.
Where the wall is restrained by timber floors or roofs spanning from
both sides at the same level or by a timber floor spanning from one
side having a bearing of at least 2/3 the thickness of the wall but not
less than 85 mm, then:
r2= 1.0.
For walls restrained at the top and bottom and stiffened on one
vertical edge, use rn = the value r3from Figure 5 and where both
vertical edges are stiffened, use rn = the value r4from Figure 6. Note
that Equations (5.6), (5.7) and (5.8) in Eurocode 6, Part 11 may be
used as an alternative to the use of the graphs.
Effective thicknessFor a single-leaf wall, a double-leaf wall (with ties at a density of
2.5 per m2or greater), a faced wall, a shell bedded wall and a grouted
cavity wall, the effective thickness, tef, is taken as the actual thickness
Figure 5Graph showing values of r3
1.0
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0 1 2 3 4 5
Ratio hef
/tef
Reductionf
actor,r3
r2= 1.0
r2= 0.75
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of the wall (t), provided this is greater than the minimum thickness,
tmin. The value of tminfor a loadbearing wall should be taken as 90 mm
for a single-leaf wall and 75 mm for the leaves of a cavity wall.
For a cavity wall the effective thickness is determined using the
following equation:
tef=
3Rt13+ t2
3 t2
where
t1= actual thickness of the outer or unloaded leaf
t2= actual thickness of the inner or loaded leaf
Note that the effective thickness of the unloaded leaf should not be
taken to be greater than the thickness of the loaded leaf and that ties
should be provided at a density of 2.5 per m2 or greater.
When a wall is stiffened by piers the effective thickness is enhanced byusing the following equation:
tef= rtt
where
tef = effective thickness
rt = coefficient obtained from Table 3
t = thickness of the wall
Slenderness ratio
The slenderness ratio of the wall is obtained by dividing the effectiveheight by the effective thickness and should not be greater than 27 for
walls subjected to mainly vertical loading. Note also that the effects of
creep may be ignored in walls with a slenderness ratio up to 27.
Figure 6Graph showing values of the reduction factor, r4
1.0
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0 1 2 3 4 5
Ratioh/l
Reduction
factor,r4
r2= 0.75
r2= 1.0
Assessment of eccentricityWhen a wall is subjected to actions that result in an eccentricity at
right angles to the wall, Eurocode 6 requires the resistance of the wall
to be checked at the top, mid-height and bottom. The eccentricity attop or bottom of the wall is:
Midei= + ehe+ einit 0.05t Nid
where
Mid = design value of the bending moment at the top or the
bottom of the wall resulting from eccentricity of the floor
load at the support
Nid = design value of the vertical load at the top or the bottom of
the wall
ehe
= the eccentricity at the top or bottom of the wall resulting
from the horizontal loads
einit= initial eccentricity for construction imperfections, which
may be taken as hef/450, with a sign that increases the
absolute value of eiand emas appropriate
t = thickness of the wall
The mid-height eccentricity, emk, is:
emk = em+ ek 0.05t
where
Mmd em = + ehm+ einit N
mdek = 0, when the slenderness ratio 27 (ie. ignoring creep)
Mmd = design value of the greatest moment at the mid-height
of the wall resulting from the moments at the top
and bottom of the wall, including any load applied
eccentrically to the face of the wall (see Figure 7)
Nmd = design value of the vertical load at the mid-height of the
wall, including any load applied eccentrically to the face
of the wall
ehm = the eccentricity at mid-height resulting from horizontal loads
A sub-frame analysis may be used as a simplified method forobtaining the moments at the top and bottom of vertically loaded
walls, as given in Annex C in Part 11 of Eurocode 6.
Table 3Stiffness coefficient,rt, for walls stiffened by piers
Ratio of pier spacing(centre to centre) to pierwidth
Ratio of pier thickness to actualthickness of wall to which it is bonded
1 2 3
6 1.0 1.4 2.0
10 1.0 1.2 1.4
20 1.0 1.0 1.0
Note
Linear interpolation is permitted in this Table.
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Capacity reduction factorsAt the top or bottom of the wall, the reduction factor for slenderness
and eccentricity is given by:
eiFi= 1 2 t
where
Fi = reduction factor at the top or bottom of the wall
ei = eccentricity at the top or bottom of the wall
t = thickness of the wall
A method for calculating a capacity reduction factor at the mid-height
of the wall, Fm, is given in Annex G of Eurocode 6, Part 11, which
simplifies the principles given in Cl. 6.1.1. This is shown graphically in
Figure 8, which shows the corresponding capacity reduction factors for
different values of slenderness and eccentricity for an elastic modulus1000 fk , which is the value recommended in the UK NA.
The least favourable value of Fiand Fm should be used to calculate NRd.
Vertical load resistance ofsolid walls and columnsThe design resistance of a single-leaf wall per unit length, NRd, is given
by the following:
NRd= Ftfd
where
F = capacity reduction factor allowing for the effects of
slenderness and eccentricity of loading
Figure 7Moments from calculation of eccentricities
N1d
M1d
(at undersideof floor)
Mmd
(at mid-heightof wall)
M2d
(at top of floor)
Nmd
N2d
h
h2
h2
a) Section b) Bending moment diagram
t = thickness of the wall
fd= design compressive strength of the masonry (fk/gM)
For sections of small plan area, less than 0.1 m2,fdshould be
multiplied by (0.7 + 3A)
where
A = loadbearing horizontal cross-sectional area of the wall in m2
In the case of a faced wall, the wall may be designed as a single-leaf
wall constructed entirely of the weaker material with a longitudinal
joint between leaves.
A double-leaf (collar-jointed) wall may also be designed as for a
single-leaf wall provided that the leaves are tied together adequately
and both leaves carry similar loads and the cavity does not exceed
25 mm, or it may be designed as a cavity wall with one leaf loaded.
In the case of cavity walls, check each leaf separately using a
slenderness ratio based on the effective thickness of the wall.
Concentrated loadsFor a Group 1 unit (not shell bedded) the vertical load resistance is:
NRdc = bAbfd
where a1 Abb = 1 + 0.3 1.5 1.1
hc Aef
= enhancement factor for load that should not be lessthan 1.0 nor taken to be greater than:
1.25 +a1
or 1.5, whichever is the lesser 2hcFigure 8Capacity reduction factor, Fmat the mid-height of the wall
1.0
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0.0
0 5 10 15 20 25 30Ratio, hef/ltef
Capacityreductionfactor,Fm
Eccentricity =
0.05t
0.10t
0.15t
0.20t
0.25t
0.30t
0.35t
0.40t
Values of Fmat the mid-height of the wall against slenderness ratio for differenteccentricities, based on E=1000 fk
How to design masonry structures using Eurocode 6
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2. Vertical resistance
7
a1 = distance from the end of the wall to the nearer edge of
the loaded area
hc = height of the wall to the level of the load
Ab = loaded area
Aef = effective area of the bearing,lefmtlefm = effective length of the bearing as determined at the
mid-height of the wall or pier
t = thickness of the wall, taking into account the depth of
recesses in joints greater than 5 mm wide
Ab/Aef 0.45
The enhancement factor, b, is shown graphically in Figure 9.
For walls built with Groups 2, 3 and 4 masonry units and when shell
bedding is used, it is necessary to check that, locally under the bearing
of a concentrated load, the design compressive stress does not exceed
the design compressive strength of the masonry,fd(i.e. bis taken to
be 1.0).
In any case, the eccentricity of the load from the centre line of the
wall should not be greater than t/4 as shown in Figure 10.
In all cases where a concentrated load is applied, the requirements
for vertical load design should be met at the mid-height of the wall
below the bearings. Account should be taken of the effects of any
other superimposed vertical loading, particularly where concentrated
loads are sufficiently close together for their effective lengths
to overlap.
The concentrated load needs to bear on a Group 1 unit or other solid
material. The length of this unit or bearing should equal the required
bearing length plus a length on each side of the bearing based on
a 60 spread of load to the base of the solid material. For an end
bearing the extra length is required on one side only.
Figure 9Enhancement factor, b, concentrated load under bearings
1.6
1.5
1.4
1.3
1.2
1.1
1.0
0 0.1 0.2 0.3 0.4 0.45 0.5
Ratio, Ab/A
ef
Enhancementfactor,b
a1= 0
2a1= 1
hc
The concentrated load may be applied through a spreader beam of
adequate strength and stiffness that has a width the same as the wall
thickness, a height greater than 200 mm and a length greater than
three times the bearing length of the load. In this case the design value
of compressive strength beneath the concentrated load should not
exceed 1.5fd.
Walls subject to shear forcesThe design value of shear resistance is given by:
VRd = fvdtl c
where
VRd = the design value of shear resistance of the wall
fvd = the design value of the shear strength of the masonry (the
characteristic shear strength divided by the partial factor
for masonry, gM) based on the average vertical stresses over
the compressed part of the wall that is providing the shear
resistance
t = the thickness of the wall resisting the shear
lc = the length of the compressed part of the wall, ignoring any
part of the wall that is in tension
In calculating lcassume a linear distribution of the compressive stress,
take into account openings, etc. and do not include any area of the
wall subjected to vertical tensile stresses.
Effect of chasesEurocode 6 recognises that chases and recesses should not impair
the stability of a wall and provides appropriate guidance. Further
explanation is given in the third guide in this series, Lateral resistance3.
Figure 10Walls subjected to concentrated load
hc/2
NEdc
NEdc
a1
60o 60o60o
NEdc
++++
lefm
lefm
lefm
lefm
a1
h
hc
NEdc
NEdc
t
t/ 4
t
Ab60o
c) Plan d) Sectionb) Section
a) Elevation
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8
Ref: TCC/03/36. ISBN 978-1-904818-57-1First published December 2007(in partnership with the Modern Masonry Alliance)revised January 2009 and June 2013Price Group M MPA The ConcreteCentre
References1 BRITISH STANDARDS INSTITUTION. BS EN 1996: Eurocode 6 Design of masonry structures.BSI (4 parts). Including their NAs.
2 ROBERTS, JJ & BROOKER, O. How to design masonry structures to Eurocode 6: Introduction to Eurocode 6. The Concrete Centre, 2013.
3 ROBERTS, JJ & BROOKER, O. How to design masonry structures to Eurocode 6: Lateral resistance . The Concrete Centre. 2013.
4 BRITISH STANDARDS INSTITUTION. BS EN 7721: Methods of test for masonry units Determination of compressive strength. BSI, 2011.
5 BRITISH STANDARDS INSTITUTION. BS EN 10521: Methods of test for masonry Determination of compressive strength. BSI, 1999.
Selected symbols
Symbol Definition
A Loadbearing horizontal cross-sectional area of the wall in m2
a1 Distance from the end of the wall to the nearer edge of the loaded area
Ab Loaded areaAef Effective area of the bearing
ehe Eccentricity of the top or bottom of the wall resulting from horizontalloads
ehm Eccentricity at the middle of a wall, resulting from horizontal loads
ei Eccentricity of the wall
einit Initial eccentricity
em Load eccentricity
emk Eccentricity at the mid-height of the wall
fb Normalized mean compressive strength of a masonry unit
fd Design compressive strength of the masonry in the direction beingconsidered
fm Compressive strength of the mortar
fk Characteristic compressive strength of the masonry, in N/mm2
fvk Characteristic shear strength of masonry
fvd Design value of the shear strength of the masonry
g Total of the widths of the mortar strips
h Clear storey height of the wall
hc Height of the wall to the level of the load
hef Effective height of the wall
htot Total height of the structure
K Constant to be used with Equation (3.1) of Eurocode 6, Part 11
lc Length of the compressed part of the wall, ignoring any part of thewall that is in tension.
Symbol Definition
lefm Effective length of the bearing as determined at the mid-height of thewall or pier
Mid Design value of the bending moment at the top or the bottom of thewall resulting from eccentricity of the floor load at the support
Mmd Design value of the greatest moment at the mid-height of the wallresulting from the moments at the top and bottom of the wall,including any load applied eccentrically to the face of the wall
Nid Design value of the vertical load at the top or the bottom of the wall
Nmd Design value of the vertical load at the mid-height of the wall,including any load applied eccentrically to the face of the wall.
NRd Design resistance of a single-leaf wall per unit length
NRdc Design vertical load resistance to a concentrated load
t Thickness of the wall
t1 Effective thickness of the outer or unloaded leaf
t2 Effective thickness of the of the inner or loaded leaf
tef Effective thickness
tmin Minimum thickness of loadbearing wall
VRd Design value of shear resistance of the wall
v Notional inclination angle to the vertical
aand b Constants to be used with Equation (3.1) of Eurocode 6, Part 11
b An enhancement factor for concentrated load
F Capacity reduction factor allowing for the effects of slenderness andeccentricity of loading
gM Partial factor for a material property
rn Reduction factor (depending upon the edge restraint or stiffening ofthe wall, h/l and floor restraint)
rt Stiffness coefficient
2. Vertical resistance
For more information on Eurocode 6 and other questionsrelating to the design, use and performance of concrete units,visit www.eurocode6.org
Published by The Concrete Centre
Gillingham House, 38-44 Gillingham Street, London, SW1V 1HU
Tel: +44 (0)207 963 8000 | www.concretecentre.com
Members of the steering groupAli Arasteh, Brick Development Association; Owen Brooker, The
Concrete Centre; Ken Fisher, International Masonry Society; Cliff Fudge,
Aircrete Products Association; Charles Goodchild, The Concrete Centre;
Gerry Pettit, Concrete Block Association; John Roberts, Consultant.
Members of the steering group for 2nd revisionCliff Fudge, Aircrete Products Association; Charles Goodchild, The
Concrete Centre; Simon Hay, Brick Development Association; Andy
Littler, Concrete Block Association; John Roberts, Consultant; Guy
Thompson, The Concrete Centre.
AcknowledgementsThis publication was jointly sponsored by the following organisations:
Aircrete Products Association- www.aircrete.co.uk
Brick Development Association- www.brick.org.uk
Concrete Block Association- www.cba-blocks.org.uk
MPA - Mortar Industry Association- www.mortar.org.uk
MPA - The Concrete Centre- www.concretecentre.com
All advice or information from MPA The Concrete Centre (TCC) et al is intended only for use in the UK by those who will evaluate thesignificance and limitations of its contents and take responsibility for its use and application. No liability (including that for negligence) forany loss resulting from such advice or information is accepted by TCC or their subcontractors, suppliers or advisors. Readers should note that
the publications from TCC et al are subject to revision from time to time and should therefore ensure that they are in possession of thelatest version.
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Guidance for lateral resistanceThis guide is the third in a series of three giving guidance on the design of
masonry structures to Eurocode 61. The first guide, Introduction to Eurocode 62
gives an introduction to design and assessment of actions using Eurocode 6
and also covers the specification and workmanship of masonry. The second
guide in the series3covers the design of vertically loaded masonry. This guide
explains how to design for horizontal actions. Throughout this guide the
Nationally Determined Parameters (NDPs) from the UK National Annexes(NAs) have been used. These enable Eurocode 6 to be applied in the UK.
Eurocode 6 methods for lateralresistanceEurocode 6 offers two approaches to the design of laterally loaded panels. The
first method relies on the flexural strength of the masonry and makes use of
yield line analysis to provide bending moment coefficients. The second method
is an approach based on arching and the assumption of a three-pinned arch
being formed within the wall. Both methods are presented in this guide.
The flexural strength approach is the most widely used and does not depend
upon rigid supports to resist arch thrust. In the UK, the reliance on the
development of tensile strength in the masonry has meant that this design
approach has usually been limited to transitory loads only. Eurocode 6 indicates
that the flexural strength of masonry should not be used in the design of walls
subjected to permanent lateral actions, e.g. gravity or reinforced retaining walls.
The assessment of the edge conditions is a requirement for the flexural strength
approach. A free edge is easily identified but some judgement on the part of the
engineer is necessary in deciding between simply supported or fixed conditions.
When considering the vertical support condition, attention also needs to bepaid to the potential position of movement joints and the changes the provision
of such joints make to the panel size and restraint conditions.
Where the walls are not rectangular, for instance a trapezoidal-shaped wall
to a mono-pitched structure, engineering judgement may be applied to
determine the effective wall height.
Wall panels with openings need to be treated with care and may typically be
sub-divided into smaller panels around the opening. It is beyond the scope of
this guide to deal with the topic in detail and reference should be made to
suitable handbooks4,5. Alternatively, a yield line analysis from first principles may
be used; the guidance in Practical yield line design6can be applied to wall panels.
How to design masonry structures using Eurocode 6
3. Lateral resistanceEur Ing, Prof.J J Roberts BSc(Eng), PhD, CEng, FIStructE, FICE, FIMS, FCMI, MICT O Brooker BEng, CEng, MICE, MIStructE
IntroductionThis publication is part of a series of three guides
entitled How to design masonry structures using
Eurocode 6. The aim is to make the use of
Eurocode 6, Design of masonry structuresas easy as
possible by drawing together in one place key
information and commentary required for the
design of typical masonry elements.
The Concrete Centre (and, originally, The Modern
Masonry Alliance) recognised that effective
guidance was required to ensure that the UK
design profession was able to use Eurocode 6
quickly, effectively, efficiently and with confidence.
Therefore a steering group, with members from
across the masonry industry (see back cover for a
list of members), was established to oversee the
development and publication of the original guides.
This second revision addresses the publication of
PD6697 in 2010 and revised National Annex to
BS EN 1996-1-1 in 2013. It was overseen by a
reconstituted steering group from industry (see
back cover).
Revision 2
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2
MEd2= a2WEdl2when the plane of failure is perpendicular to the bed
joints
where
a1 = bending moment coefficient parallel to the bed joints
(= a2, see Table 2)
a2 = bending moment coefficient perpendicular to the bed
joints (see Table 2)
WEd = design wind load per unit area (gQ WK)
l = length of panel between supports
= orthogonal ratio (fxk1/fxk2)
Lateral resistance using flexural strengthThe presence of a vertical load increases the flexural strength of a panel in
the direction parallel to the bed joints. The design moment of resistance
within the height of the wall is given by:
MRd=fxk1+sd Z
gMwhere
fxk1= characteristic flexural strength of masonry bending about an
axis parallel to bed joints (see Table 1)
gM = appropriate partial factor for materials
sd = design vertical load per unit area (< 0.2fk/gM)
Z = section modulus of the plan shape of the wall
fk = characteristic compressive strength (see Vertical resistance3).
If a damp proof course (dpc) is present in a wall subjected to flexure
then the degree of fixity may be altered. The bending moment
coefficient at a dpc may be taken as that for an edge over which full
continuity exists, provided that there is sufficient vertical load on the
dpc to ensure that the f lexural strength capacity is not exceeded.
Walls may be either horizontally and/or vertically spanning and the
ultimate strength of the wall is governed by the capacity of the
masonry to resist flexural tension. This capacity is enhanced by the
presence of vertical load. Clearly the potential flexural strength is
greater if the potential plane of failure is perpendicular rather than
parallel to the bed joint.
Figure 1 shows a flow chart for lateral load design. The designer needs
to assess the panel support conditions (or assume a free edge) and
decide whether these provide simple or continuous (fully restrained)
support. Care also needs to be exercised in considering the effect ofdpcs, movement joints, openings in walls, etc. There are handbooks
that provide further guidance on these aspects4,5.
Bending moments using coefficientsFor panels without openings, the bending moments per unit length
(MEd) are:
MEd1= a1WEdl2when the plane of failure is parallel to the bed joints
Obtain height,h
Check serviceability slenderness limits using Figures 2, 3 or 4 as appropriate
Check slenderness ratio h/t30 for wallssupported top and bottom only
Determine design value of vertical l oad, GEd, usingExpressions (6.10), (6.10a) or (6.10b) of Eurocode.
(see Introduction to Eurocode 6) Check shear
Characteristic verticalactions
Obtain thickness, t
t
h
Characteristic lateral actions
Obtain water absorptionfor clay masonry unit or
declared compressivestrength from
manufacturer for othermasonry types
Masonry unit properties
Type and group Dimensions
Strength
Determine requirementsfor mortar strength and
durability. See tables 5 & 6of Introduction to Eurocode 6
Determine design value oflateral actions, WEd, using
Expressions (6.10), (6.10a) or
(6.10b) of Eurocode. (seeIntroduction to Eurocode 6) Obtain fxk1and fxk2 from Table 1 and calculate
orthogonal ratio, m where: m= fxk1/ fxk2
Obtain a from Table 2 and calculate, MEd1and MEd2, where:
MEd1 = a1WEd l2, parallel to the bed joints or
MEd2 = a2WEdl2, perpendicular to the bed joints
Check MEd1 MRd1and MEd2MRd2
z
Obtain fxk2 from Table 1 and calculate design momentof resistance perpendicular to the bed joints, MRd2, where:
Obtain,gMfrom table 1Introduction to Eurocode 6
MRd2 =
fxk2ZgM
Obtain fxk1 from Table 1 and calculate design momentof resistance parallel to the bed joints, MRd1, where:
l
MRd1 =fxk1
+ sd ZgM
How to design masonry structures using Eurocode 6
Figure 1Flow chart for the design of masonry walls to resist lateral actions
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The design procedure is iterative and may be summarised as
follows:
1 Make initial assumption of support condition.
2 Make assumptions as to strength and thickness of masonry unit
required; the minimum wall thickness or thickness of one leaf of acavity wall is 100mm.
3 Check serviceability slenderness limits. For wall panels supported
top and bottom only, hshould be limited to 30t. For other support
conditions use Figure 2 below or Figures 3 and 4 on page 6.
4 Determine orthogonal ratio,, and hence bending moment
coefficient appropriate to panel shape (Table 2).
5 Determine the design value of the applied moment, MEd.
6 Check the design value of the moment of resistance, MRd.
7 If MEd MRdthen the wall is acceptable if not return to either
step 1 or 2 and modify.
8 Check shear.
Cavity wallsIn a cavity wall, the design lateral load per unit area, WEd, may be
apportioned (either according to capacity or stiffness) between the
two leaves, provided that the wall ties are capable of transmitting the
actions that result from the apportionment.
Lateral resistance using archingWhere a masonry wall is built between supports capable of resisting
an arch thrust, then it may be assumed that a horizontal or vertical
arch develops within the thickness of the wall in resisting a lateral
load. The analysis can be based upon a three-pin arch, and the bearingof the arch thrust at the supports and at the central hinge should be
assumed to be 0.1 times the thickness of the wall.
Figure 2Limiting height and length to thickness ratios of walls restrained on allfour edges
Simply supported
or with full continuity
Key
l
80
70
60
50
40
30
20
10
0 120110100908070605040302010
Ratio
h/
t
h
Ratiol/t
Permissible range
3. Lateral resistance
3
Table 1Characteristic f lexural strength of masonry, fxk1and fxk2, in N/mm
2
Values of fxk1Plane of failure parallel tobed joints
Values of fxk2Plane of failureperpendicular to bed joints
Mortar strength class:
M12 M6 & M4 M2 M12 M6 & M4 M 2
Clay masonry units of Groups 1 and 2 having a water absorptionaof:
Less than 7% 0.7 0.5 0.4 2.0 1.5 1.2
Between 7%& 12%
0.5 0.4 0.35 1.5 1.1 1.0
Over 12% 0.4 0.3 0.25 1.1 0.9 0.8
Calcium silicate brick-sizedbmasonry units
0.3 0.2 0.9 0.6
Aggregate concrete brick-sizedbmasonry units
0.3 0.2 0.9 0.6
Aggregate concrete masonry units and manufactured stone of Groups1 and 2 and AACcmasonry units used in walls of thickness up to 100mmd,eof declared compressive strength (N/mm2):
2.9
0.25 0.2
0.4 0.4
3.6 0.45 0.4
7.3 0.6 0.5
Aggregate concrete masonry units and manufactured stone of Groups1 and 2 and AACcmasonry units used in walls of thickness of 250 mmor greaterd,e, of declared compressive strength (N/mm2):
2.9
0.15 0.1
0.25 0.2
3.6 0.25 0.2
7.3 0.35 0.3
Aggregate concrete masonry units and manufactured stone of Groups1 and 2 and AACcmasonry units used in walls of any thicknessd, ofdeclared compressive strength (N/mm2):
10.40.25 0.2
0.75 0.6
17.5 0.9f 0.7f
Key
a Tests to determine the water absorption of clay masonry units are to be conducted inaccordance with BS EN 77277.
b Units not exceeding 337.5 mm 225 mm 112.5 mm.
c Autoclaved aerated concrete (aircrete).
d The thickness should be taken as the thickness of the wall, for a single-leaf wall, or thethickness of the leaf, for a cavity wall.
e Linear interpolation may be used to obtain the values offxk1andfxk2for:1) wall thicknesses greater than 100 mm and less than 250 mm;2) compressive strengths between 2.9 N/mm2and 7.3 N/mm2in a wall of
given thickness.
f When used with flexural strength in the parallel direction, assume the orthogonal ratio= 0.3.
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4
Wall support condition A h/l
0.30 0.50 0.75 1.00 1.25 1.50 1.75 2.00
1.00 0.031 0.045 0.059 0.071 0.079 0.085 0.090 0.094
0.90 0.032 0.047 0.061 0.073 0.081 0.087 0.092 0.095
0.80 0.034 0.049 0.064 0.075 0.083 0.089 0.093 0.097
0.70 0.035 0.051 0.066 0.077