Design Guide 2
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Guidance for vertical resistance 
This 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 UK 
National Annexes (NAs) have been used. These enable Eurocode 6 to be applied in 
the UK.
Design procedure
This 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 strength
Eurocode 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 the 
designer is that the normalized strength is independent of the size and shape of 
the units used in the final construction. 
Grouping of masonry units
The 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 resistance
Eur Ing, Prof. J J Roberts BSc(Eng), PhD, CEng, FIStructE, FICE, FIMS, FCMI, MICT     O Brooker BEng, CEng, MICE, MIStructE
Introduction
This 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 structures as 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

How to design  masonry structures using Eurocode 6
2
For blocks laid flat, Table 8 of the National Annex to Eurocode 6,  
Part 1–1 contains a specific value for K to be used in Equation (3.1)  
of Eurocode 6, Part 1–1.
The following limitations are placed on Equation (3.1):
 ¢The masonry is detailed and constructed in accordance with the 
requirements of BS EN 1996–1–1, section 8.
 ¢fb is taken to be not greater than 110 N/mm2 when units are laid 
in general purpose mortar and 50 N/mm2 when laid in thin layer 
mortar (fb is determined in the normal direction of loading).
 ¢fm is taken to be not greater than fb nor greater than 12 N/mm2 
when units are laid in general purpose mortar or 10 N/mm2 when 
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 K as 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 of fb should 
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 characteristic 
compressive strength of 
masonry 
The characteristic compressive strength of masonry (other than 
shell bedded masonry) is determined from the results of tests in 
accordance with BS EN 1052–15. 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 1–1 
in the form of the constants to be used in the following equation:
fk = K fba  fmb   [Equation (3.1) of Eurocode 6, Part 1–1]
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 1
Flow chart for the design of masonry walls to resist vertical actions
. 
Obtain gM from table 1 of 
Introduction to Eurocode 6
Determine requirements 
for mortar strength and 
durability.  See tables 5 
& 6 of Introduction to 
Eurocode 6
Determine effective height, hef, 
of the wall (see page 4)
Check slenderness ratio h
ef
 /t
ef 
≤ 27
Check area ≥ 0.04 m
2
Determine eccentricity (see page 5)
Determine capacity reduction factors, F
m
 and F
i 
from (see page 6)
Determine normalized 
compressive strength, fb. 
Characteristic vertical actions
Check Ed ≤ NRd 
Check complete
Calculate design resistance 
(per unit length) from least
favourable of:
NRd = Fm t fk / gM
and
NRd = Fi t fk / gM
Where cross-sectional area, 
A < 0.1 m2, factor fk by (0.7 + 3A)
Determine design value of 
vertical actions (per unit 
length), Ed, using Expression 
(6.10), (6.10a) or (6.10b) of 
Eurocode (see Introduction to 
Eurocode 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)
How to design masonry structures using Eurocode 6

2.  Vertical resistance
3
 ¢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 from  
Equation (3.1) with fb derived from BS EN 772–1, 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 772–1 taken to be no greater 
than 1.0. For Group 2 and 3 units, K should then be multiplied by 0.5.
Table 1 
Values of K to be used with equation (3.1)
Masonry 
unit General 
purpose 
mortar
Thin layer 
mortar 
(bed joint ≥ 
0.5 mm and 
≤ 3 mm)
Lightweight mortar 
of density (kg/m3)
600 ≤ rd  
≤ 800 800 < rd  
≤ 1300
Clay
Group 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) 0.50d0.70d0.40d0.40d
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 in 
the UK, so no values are available.
c   If Group 1 aggregate concrete units contain formed vertical voids in the normal direction, 
multiply K by (100 – n) /100, where n is 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 upright 
position 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 K should be modified (see Figure 2)
Table 2
Values 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 0.5 
to 3 mm (using clay units of Group 1, calcium 
silicate 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 to 
3 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 1996–1–1.)
The characteristic 
compressive strength of 
shell bedded masonry
Shell 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 2
Modifications to K for units laid with general purpose mortar
Plan sections of bonded masonry
a) K from Table 1
b) K from Table 1
c) K from Table 1 multiplied by 0.8
d) K from Table 1 multi
p
lied b
y
 0.8
Masonry 
thickness
Masonry 
thickness
Masonry 
thickness
Masonry 
thickness
Figure 3
Shell bedding

How to design  masonry structures using Eurocode 6
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/t is not less than 0.4
where
g = total width of the mortar strips 
t = the thickness of the wall.
 ¢K is 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 772–14 for shell bedded units.
 Effective  height
The effective height of a masonry wall is obtained by applying a factor 
to the clear height of the wall such that:
hef = rn h
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 4
Minimum length of stiffening wall with openings  
h2 (window)
h2(door)
h
Stiffened wall Stiffening wall 
>h/5 h1
t
1   (h1+ h2)
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 r3 from Figure 5 and where both 
vertical edges are stiffened, use rn = the value r4 from Figure 6. Note 
that Equations (5.6), (5.7) and (5.8) in Eurocode 6, Part 1–1 may be 
used as an alternative to the use of the graphs. 
 Effective  thickness
For a single-leaf wall, a double-leaf wall (with ties at a density of  
2.5 per m2 or greater), a faced wall, a shell bedded wall and a grouted 
cavity wall, the effective thickness, tef, is taken as the actual thickness 
Figure 5 
Graph 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
Reduction factor, r3
r2 = 1.0
r2 = 0.75
How to design masonry structures using Eurocode 6

2.  Vertical resistance
5
of the wall (t), provided this is greater than the minimum thickness, 
tmin. The value of tmin for 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 = 3
R
 t1
3 + 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 by 
using 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 effective 
height 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 6
Graph 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
Ratio h/l
Reduction factor, r4
r2 = 0.75
r2 = 1.0
Assessment of eccentricity
When 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 at 
top or bottom of the wall is:
       Mid
ei =        + ehe + einit ≥ 0.05t
       Nid
where
  M
id  =  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
  N
id  =  design value of the vertical load at the top or the bottom of 
the wall
  e
he  =  the eccentricity at the top or bottom of the wall resulting 
from the horizontal loads
  e
init =  initial eccentricity for construction imperfections, which 
may be taken as hef/450, with a sign that increases the 
absolute value of ei and em as appropriate
  t  =  thickness of the wall
The mid-height eccentricity, emk, is:
emk = em + ek ≥ 0.05t
where
   Mmd
  e
m  =          +  ehm +  einit
   Nmd 
 ek  =   0, when the slenderness ratio ≤ 27 (ie. ignoring creep)
  M
md  =   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)
  N
md  =   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 for 
obtaining the moments at the top and bottom of vertically loaded 
walls, as given in Annex C in Part 1–1 of Eurocode 6.
Table 3
Stiffness coefficient, rt, for walls stiffened by piers 
Ratio of pier spacing 
(centre to centre) to pier 
width
Ratio of pier thickness to actual 
thickness of wall to which it is bonded
123
61.0 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.

How to design  masonry structures using Eurocode 6
6
Capacity reduction factors
At the top or bottom of the wall, the reduction factor for slenderness 
and eccentricity is given by:
   ei
Fi = 1 – 2      
                t  
where
  Fi =  reduction factor at the top or bottom of the wall
  e
i  =  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 1–1, 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 modulus 
1000 fk, which is the value recommended in the UK NA.
The least favourable value of Fi and Fm should be used to calculate NRd.
Vertical load resistance of 
solid walls and columns
The 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 7 
Moments from calculation of eccentricities 
N1d
M1d 
(at underside 
 of floor)
Mmd 
(at mid-height 
 of 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, fd should 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 loads
For a Group 1 unit (not shell bedded) the vertical load resistance is:
NRdc  =  bAbfd 
where                        a1                        Ab
b  =   1 + 0.3       1.5 – 1.1       
                                  hc                                Aef
 =    enhancement factor for load that should not be less 
than 1.0 nor taken to be greater than: 
1.25 +   a1
   or 1.5, whichever is the lesser
                     2hc
Figure 8
Capacity reduction factor, Fm at 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           30
Ratio, hef /ltef
Capacity reduction factor, 
Fm 
Eccentricity =
0.05t
0.10t
0.15t
0.20t
0.25t
0.30t
0.35t
0.40t
Values of Fm at the mid-height of the wall against slenderness ratio for different 
eccentricities, based on E =1000 fk
How to design masonry structures using Eurocode 6

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, lefm t
lefm =    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. b is 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 9
Enhancement 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 / Aef
Enhancement factor, 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 forces
The design value of shear resistance is given by:
VRd  = fvdtlc
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 lc assume 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 chases
Eurocode 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 10
Walls subjected to concentrated load  
hc/2
NEdc
NEdc
a1
60o60o
60o
NEdc
+
+
++
lefm
lefm
lefm
lefm
a1
h
hc
NEdc
NEdc
t
≤ t / 4
t
Ab
60o
c) Plan d) Sectionb) Section
a) Elevation

8
Ref: TCC/03/36.  ISBN 978-1-904818-57-1 
First published December 2007
(in partnership with the Modern Masonry Alliance) 
revised January 2009 and June 2013
Price Group M
© MPA The Concrete Centre™
References
1  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 772–1: Methods of test for masonry units – Determination of compressive strength. BSI, 2011.
5  BRITISH STANDARDS INSTITUTION. BS EN 1052–1: 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 area
Aef     Effective area of the bearing
ehe  Eccentricity of the top or bottom of the wall resulting from horizontal 
loads
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 being 
considered
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 1–1
lc    Length of the compressed part of the wall, ignoring any part of the 
wall that is in tension.
Symbol Definition
lefm    Effective length of the bearing as determined at the mid-height of the 
wall or pier
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
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
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
a and b  Constants to be used with Equation (3.1) of Eurocode 6, Part 1–1
b   An enhancement factor for concentrated load
F   Capacity reduction factor allowing for the effects of slenderness and 
eccentricity of loading
gM   Partial factor for a material property
rn   Reduction factor (depending upon the edge restraint or stiffening of 
the wall, h/l and floor restraint)
rt   Stiffness coefficient
2.  Vertical resistance
For more information on Eurocode 6 and other questions 
relating 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 group
Ali 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 revision
Cliff 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. 
Acknowledgements
This 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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