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In recent years changes have taken place in the manner of using brick masonry and to some
ex-tent in the materials of masonry. These
develop-ments have in some cases resulted in changes in the structural properties and also in the
weather-resisting ーイッー・イエゥ・セ of the masonry. The need for
technical information to guide designers and builders in the use of such developments is therefore a
con-tinuing one. Accordingly this translation has been
prepared of an account of studies made in Switzer-land of structural properties of brick masonry, particularly as applied to the construction of tall
buildings, and of the methods by which 、・ウセァョ
infor-mation was derived. It is considered to contribute
a great deal of useful information on the structural properties of brick masonry.
The Division of Building Research wishes to record its thanks to Mr. D.A. Sinclair of the Trans-lations Section of the National Research Council Library for preparing this translation.
Ottawa
February 1959
R.F .. Legget, Director
TECHNICAL TRANSLATION 792
Title: The technological properties of brick masonry in
high buildings
(Die technischen Eigenschaften von Backstein-Mauerwerk fur Hochhauser)
Author: P. Haller
Reference: Schweizerische Bauzeitung, 76 (28): 411-419,1958
HIGH BUILDINGS
A lecture given on the occasion of the Meet-ing on High BUildMeet-ings of the Association of SWiss Tile and Brick Manufacturers of the 1st of March 1958 at the ATH in Zurich by Dipl. Ing. P. Haller, Section Head of the Federal Institute for Material Testing and Research, Zurich.
The fact that a number of 9-otorey apartment houses as well as an 18-storey residential skyscraper are being built at the present time on the outskirts of Zurich is proof of the great advances that have been made in recent years in the
manufacture of brick. The beginning of the entire development
was marked by the purchase of a 6 m. high, 500-ton press which was installed in the newly erected outside station of the EMPA*
in Schlieren, 1946. Before this press was available it was
impossible to carry out the masonry tests which alone could provide a reliable basis for determining the admissible load
capacities of masonry. The first tests with l-storey high
masonry pillars or walls, which were financed and supplied with materials by the Building Inspection Services of Zurich, Berne and Basle, the Swiss Association of Brick and Stone Producers and by the firm AG. Hunziker and Co., have produced results Which made possible a greater utilization of brick masonry and thus also the construction of the high buildings in Basle.
At the same time, great efforts have been made by the
brickworks possessing suitable raw materials. The quality of
masonry bricks has been improved so that the permissible
stresses have been raised still further. The tests have brought
to light a number of hitherto unknown properties of brick which
are of fundamental importance. Only a knowledge of the greatest
The 18-storey brick skyscraper in Zurich-Schwamendingen
possible number of factors affecting the bearing capacity of the masonry and a deeper insight into the complex conditions have made it possible to eliminate undesirable effects and to determine the bearing capacity as well as other properties of importance from the point of view of construction technique as a function of these factors.
First of all we shall illustrate the testing methods and the characteristic forms of distruction of the two-material
sys-tem by a few pictures. A natural stone pier (Fig. 1) in the
500 ton press shows the characteristic cracks over the head
joints. Other cracks, however, developed alongside these as a
result of local stress concentrations produced by irregularities of the bearing faces.
A similar cracking pattern in brick piers and in insulat-ing brick masonry where only slight overlappinsulat-ing guarantees the joint and the working together of the two brick shells is shown
in Fig. 2. In the artificial stone masonry the cracks again
occur always as a continuation of the jOints, alongside other
cracks due to local stress concentrations. In the 38 cm. brick
masonry shown in Fig. 3 cracking over the joints can be recog-nized in three shells, especially in the pier on the left-hand
side. Proper working together of the individual shells can be
obtained only by perfect jointing. Fig. 4, a wall of cement
bricks, shows that in the case of eccentric loading vertical
thrust forces occur which must also be absorbed by these headers. If we load masonry which has no mortar joint, then,
de-pending on the evenness of the bearing faces, the total force will be transferred at a larger or smaller number of points. These point forces produce tensile stresses in the brick which cause it to crack in a direction parallel to the direction of
the force when the latter attains the tensile strength. The
function of the mortar joint is to distribute the forces of contact over a larger area and thus to reduce the tensile stresses in the brick.
both elements expand transversely to the normal strength, i.e.,
perpendicularly to the direction of the force. Since both
materials must expand transversely to the same extent as a
consequence of the adhesive or friction forces, tensile stress-es perpendicular to the direction of the force arise in the brick on account of the generally greater transverse elongation
of the mortar. These tensile stresses, like those due to the
local concentrations of force, also contribute ultimately to the cracking of the brick in the direction parallel to the
force and perpendicular to the bed joints. As a result the
headers in small individual columns will crack on both sides
of the expansion joint. Thus the masonry bricks are not
crush-ed by compressive forces, but are torn open by tensile forces. From these discoveries, the following important conclusions are drawn:
1. The bricks should be as flat-faced as-possible (i.e.,
no tWisted bricks!) in order to keep the jOint thickness to a
minimum. Joints that are too thick increase the transverse
tensile stresses. For high quality masonry, therefore, the
joints should be kept to thicknesses of 10 - 12 mm.
2. The head joints must not be too wide. Not only on the
visible faces, but also in the wall cross section the expansion joints must be covered by headers, or the bricks must be bound
in. Thus it is absolutely necessary to have satisfactory bond
in order to achieve maximum compressive strength.
3. The tensile force cross-section of the brick must not
be reduced ・ク」・セウゥカ・ャケ by perforations or cracks. Restriction
of the perforation areas is necessary, and freedom from crack-ing is absolutely essential in high quality bricks.
4. Tall bricks alongside lower ones are more heavily
stressed, and therefore tend to shatter sooner. For this
rea-son a high degree of accuracy to size in the height of the bricks is necessary.
5. Hard mortar of high compress10n strength compresses
less and its elongation is less. This results in lower tensile
low elongation value with a batching of P 350 to 400 is needed, the compressive strength of which will be over 200 kgm. per
cm.2 after 28 days. This means that the sand employed must have
a good granulometric gradation, that its grain size must not exceed half the thickness of the joint, that the sand must be clean and free of loam and must contain no soft or weathered sand grains.
6. Hard stones are more brittle and show more internal
stresses, so that during pointing they crack easily and without
warning. Their slotting and perforating is therefore ゥョ。、ュゥウウセ
ible. For this reason the locations of all conduits must be
determined in advance.
7. The greater the compressive strength of the brick, the
greater will be its transverse tensile strength as well as the
masonry strength. Masonry bricks used for structural parts
and structures subject to relatively high stress must normally
have a compressive strength of more than 400 kgm. per cm.2 •
The bearing capacity of slender piers and walls is ex-hausted under a smaller load than that of the stout structures, The bearing capacity is thus determined not by the strength
properties, but by the stability of the masonry. Its maximum
strength is attained when an unsteady state of equilibrium is reached between the external forces and the counteracting
forces mobilized in the material. The structure buckles
there-fore at the moment that the material, after considerable
deflection, is unable to mobilize any additional corresponding
resistance. A wall in the buckling range is shown in Fig. 5.
This is a wall four metres high of 12 x Yセ em. brick. The
slender form of the wall can be recognized still better from
Fig. 6. The measuring apparatus comprises gauges which indicate
the deformations of the entire specimen at the four corners of the centrally loaded pillar and two other gauges from which the deflection of the piliar can be measured half way to the
top. Results showing little scatter are obtained only with
Fig. 7 shows the stress-strain diagram of the brick walls
of the first investigation. These then became the basis for
the calculation and designing of the high buildings in Basle
(Ing. E. Geering). Such a diagram does not yield a
mathematic-ally expressible curve. It gives the strength of the masonry
erected with lime cement mortar. The bearing loads can be
calculated from this diagram for every degree of slenderness
and every degree of eccentricity. The initial deflection of
the body axis from the straight line, all flaws in the building materiqls and the unavoidably eccentric application of the
load in the press as well as in the structure itself decrease
the buckling load. Thus all factors which facilitate the
deflection of the structure under load accelerate the buckling and reduce the buckling strength.
Fig. 8 shows the test pOints and the buckling curves on which the high buildings in Sasle were based • . The degree of
slenderness is plotted on the abscissa and the bearing capacity
at various eccentricities on the ordinate. The curves, however,
are calculated from the stress-strain diagram, Fig. 7. They
are thus drawn not only between the test points. If no initial
deflection is assumed the curve does not coincide with the
test points for central loading. A better agreement between
the curve and test points is obtained only when an eccentricity of the order of 1/1000 is introduced into the calculation.
As was to be expected, therefore, the test structures were initially not perfectly straight and thus continued to curve
outward from the very outset. The test points and curves differ
greatly from the Euler curve, which, of course, is calculated from the modulus of elasticity, i.e., from the assumption of
the rectilinear stress-strain law (Hooke). The curves
ill-ustrate the rapid decrease of bearing strength with increasing
slenderness. The bearing capacity decreases With increasing
eccentricity, showing that both slenderness and eccentricity of the point of load application must always be taken into account in the structure.
What, therefore, are the factors which affect the
buck-ling load? These may be divided into two groups: the effects
of the materials employed, i.e., the brick and mortar, and the measures which can be taken by the designer and the mason.
A. The Masonry Brick
A piece of masonry which becomes deformed irregularly,
i.e., one sidedly even under a uniformly distributed load, bends more than one which is deformed uniformly and consequently
shows a smaller bearing capacity.
1. If the orick is uneven surfaced, local stress
concen-trations occur, especially if the brick has been somewhat warped during manufacture.
2. Fig. 9 shows what happens in a wall if either the
brick is not cut square from the extruded column or if the
column curves somewhat on leaving the nozzle. The lack of
rectangularity between the bearing and expansion joints pro-duces greater deflections (and hence a smaller buckling load), irregular deformations as the result of loading and additional deformations due to greater shrikage on one side.
3. Another factor is failure of trueness to size. This
adds to any departure from the wall axis, or wider head joints
occur (Figs. 10 and 11). It may also be said that the higher
the brick the fewer bed joints there will be per unit length
of wall. This should result in smaller deformations and smaller
bUlgings. Against this, however, is the greater effect of the
differences in shape, as Fig. 12 shows.
4. When the brick is laid on the mortar bed it takes up
water of mixing from the mortar due to its capillarity, as a result of which the mortar hardens somewhat and at the same time the adhesion between the brick and mortar is considerably
increased. This is also Why it is difficult to loosen the
brick from the set and hardened mortar. However, if the brick
draws a great deal of キ。セ・イ out of the mortar, the latter will
hardening capacity and adhesiveness. At the same time the loss of water will result in a loss of workability on the part of the mortar in its fresh state, and as the upper part of the wall moves back and forth the mortar layer will become
rounded off (Fig. 13). After hardening of the mortar or masonry
the bearing capacity under central loading, and especially under eccentric loading, decreases for the simple reason that the
opened joints considerably increase the deflection of the
masonry under load. This effect is definitely noticeable in
the slender pillars and walls of small thickness (12 and 15
」ュセIN For high-quality masonry, therefore, only bricks of
ION absorptive capacity may be used.
Table I shows the results of strength investigations of
bricks from five different brickworks. Under central loading of
only five kgm. per cm.2 the compression increases with
increas-ing absorptive capacity of the brick from 0.022 to 0.102%,
i.e., by about a factor of 5. Under eccentric loading the
deflection increases very sharply from 0.33 to 7.84 mm., i.e., by a factor of approximately 24, once the absorptive capacity
of the brick is increased from Wセ gm. per dm.2 min. to about
40 gm. per dm.2 min. The masonry strength values decrease
considerably for central loading. The decrease of bearing
capacity with increasing absorptive capacity is particularly severe, however, under eccentric loading.
The effect of the absorptive capacity of the brick is clearly recognizable from a comparison of dry laid bricks with bricks which were laid only after soaking in water for two days, so that they had then only a slight absorptive capacity
(Table II). Under central loading the decrease is only 15%
(flattening of cylindrically rounded mortar layer). Under
eccentric loading the wall bulges more as a result of the gaps
「・エセャ・・ョ the 「イゥ」セ and mortar layer, thus causing the
eccentric-ity of the load in the centre part of the test wall to increase
rapidly, so that the buckling load is 83% smaller. The
buck-ling loads of test walls produced With bricks from different
buckling loads decrease hyperbolically, i.c., very rapdily, with the absorptive capacity.
The results of the tests on the 15 cm. and 18 cm. walls
carried out in the EMPA are given in Fig. 15. From the results
the following conclusions may be drawn:
First of all we note the considerable difference between the brick masonry made with lime cement mortar on the one hand
and that with ordinary cement mortar on the other. Under quasi
central loading the bearing capacity of the cement mortar
masonry with increasing absorptive capacity decreases sharply, whereas that made with the softer lime cement mortar decreases
much less steeply. The greater sensitivity of cement mortar
to water loss (decrease of strength and tendency to loosen) must be taken into account in determining the admissible
stresses. In the inspection of bricks, therefore, close
atten-tion must be paid to the absorptive capacity. 'In relaatten-tion to the values for central loading, under eccentric loading equal bearing capacity losses are experienced with increasing absorp-tive capacity on the part of the brick for both types of mortar. In the existing regulations a maximum absorptive capacity of
15 gm. per dm.2 min. is required for high quality masonry brick.
The required compressive strength of 400 kgm. per 」ュセ yields
15 to 20% higher wall strengths than strength of 300 kgm. per
cm.2 (Fig. 15).
In foreign specifications it is often recommended that
the bricks be wetted before laying. Wetting, however, has
various disadvantages, namely, longer drying times, reduced thermal insulation capacity, tendency towards efflorescence, difficulty of control at the building site.
5. The j ointing mortar dries and shrinks, as is known,
from the outside towards the inside (Fig. 16). The gaps which
thus form reduce the bearing capacity for centric and especial-ly for eccentric loading, while at the same time, of course, the creep capacity of the mortar once more provides a certain stress compensation.
6. Gel-type bonding agents, including Portland cement and hydraulic lime, are subject to deformation under loading,
especially when green. That is to say, they creep. Under
centric loading this is somewhat of an advantage, but under eccentric loading a considerable deflection can take place in
the course of time. However, this deflection remains below that
occurring, e.g. in a concrete,wall, for the simple reason that
burnt clay bricks
、ゥspQセセセセセセセイセ「ェH・
creep deformation; and thejoint mortar constitutes only a small part of the masonry. Larger eccentricities are therefore to be avoided, especially
in the case of heavily loaded piers. The bearing capacity and
compressibility of the masonry, like the deflection, are as-sociated with the compressibility of the brick and in the buck-ling region can be used as valuable coefficients.
The compressive strength of the masonry brick is affected
by many factors; the kind of raw mater, its preparation and
storage, the deformation, the drying of the precast brick and its burning and cooling in the furnace, the shape and size of the brick, the perforated portion, the kind of preparation, susceptibility to cracking, evenness of surface and finally the manner of producing the test object (mortar layers, loops), before it is placed in the press. For lack of a better standard, the compressive strength of the masonry brick is used as a
quality index for the strength properties, i.e., for the ten-sile strength of the brick, which is a decisive factor in determining the bearing capacity of the masonry and also for
the deformations. It would be incorrect however to employ the
compressive strength of the brick alone as a basis for the
admissible stresses in the quality regulations. In high
build-ings, high quality bricks with a compressive strength of more
than 400 kgm. per cm.2 , and not infrequently up to 600 kgm.
per cm.2 , were used (Tower Building in Schswamendingen:
com-pressive strength of brick 415 to 605 mean value 499 kgm. per
B. The Masonry Work
The designer and mason are responsible for the correct design and expert, craftsmanlike erection of the masonry,
in-cluding corners and splices (joints). The following points
should be observed:
1. The thinner, upper walls must be placed centrically
on the lower ones.
2. For all piers, corners and wall splices, blueprints
should be prepared by the designer. This is necessary not
only in order to conform to the brick formats in the choice of wall heights and ground plan as well as wall openings (for windows and doors), but at the same time to attain maximum bearing capacity and to avoid loss of valuable time by the
mason.
3. Wall sections can be effectively stiffened by means
of other wall sections bonded perpendicularly to them. This
fact should be t.ak en into account in drawing the ground plan and in determining the wall openings, because in many cases
the dimensions of the walls can thereby be reduced. For some
time now investigations have been in progress in the EMPA for
the purpose of 」ャセイゥヲケゥョァ the effectiveness of such stiffenings.
It is intended that their application shall be facilitated by simplifications.
4. In the team of builders the mason is the all important
anchor man. The best and most true to size bricks, a highly
workable and properly composed mortar, the finest of blueprints are of no avail if the mason for lack of professional knowl-edge and insufficient skill erects a tilted or crooked wall, if he make s the joints of uneven strength and the bed joints
are a.Ll owed to II snake" (item. per m, }, All such
irregular-ities greatly reduce the bearing capacity of the wall. Walls
Which cannot satisfy the conditions laid down are unusable and must be replaced.
5. Brick masonry can at any time be checked for its
quality without great expense and if necessary even be replqced.
It has been shown time and 。セ。ゥョ that this is an advantage
not to be underestimated, for again and again unreliable people will get into the construction gangs and their mistakes can be eliminated only by constant, careful checking.
6. Anyone who watches the mason at work will realize that
his output can be increased if the bricks are true to size, e.g. if the key stone can be inserted without a lot of
adjust-ing. Excellent trueness to size is illustrated in Fig. 17.
The question of whether the joints should be completely
filled or not is often discussed. The head joints must always
be filled completely at places where compressive and shearing stresses are transferred in the masonry (concentrated loads: piers, beams, wind screens) or where maximum impermeability
(driving rain against framing m3.sonry) or maximum weight (sound insulation) is considered important.
The ウセヲ・エク ヲ。」エッセ
The inaccuracies of static calculations, the schematic
load assumptions 1 the use of Hooke's 13.w which is applicable
only as a rough approximation, the interaction with other structural elements, the unavoidable material variation and masonry irregularities, the deformations under the permanent load and due to vibrations caused by shrinking and creeping as well as temperature changes affecting one side or all sides, all these influences, which can be assessed only with diffi-culty or with great expenditure of time, make it necessary to introduce a safety factor which must be determined on the basis of experience and by estimating all the factors not taken into
account in セセィ・ calculation. For brick masonry Which has been
subjected to masonry test, i.e., where the most important conditions of the loaded masonry have already been determined by the test, a safety factor of 4 is regarded as reasonable,
provided the required material qualities for compressive
are observed. The safety factor is raised to 5, however,
8.S soon as general standard values are determined which are
based on the results of investigations from several brickworks, which of course differ much more sharply than the results for
a single brickworks (Fig. 15). It may happen, therefore, that
a given briclcworks can prove the high qual 1ty of masonry pro-duced from its products, but cannot quite attain the qualities of bricks as prescribed.
The admissible stresses calculated from the experiment-ally determined masonry strength divided by the safety co-efficients are applicable for the tested buckling distance and wall strength, on the one hand, and for the tested brick
and mortar material on the other. The most important properties
of these are determined, of course, by obtaining the compressive strength and absorptive capacity, the dimensional tolerances, the specific weight of the brick and the compressive strength
of the mortar after 7 and 28 days. The admissible stresses
are then derived for the remaining slenderness ratios, so that these can finally be stated as a function of the most import-ant parameters affecting the bearing capacity of the masonry. These most important parameters are the compressive strength
of the brick セ , the strength of the mortar セ , the suction
s m
capacity s, the slenderness ratio hid and the eccentricity
coefficient m
=
elk.
Fig. 18 shows the admissible stressesfor a masonry of high-quality brick. For centric loading the
admissible stress is constant up to a slenderness ratio of 5, then decreases linearly (rather than according to the experi-mentally determined curve) and intersects the abscissa axis
at a slenderness ratio of 55. For higher slenderness ratios
this straight line lies far below the numerical values
obtain-ed from the tests. A comparison with reinforced concrete
standards may be aopropriate here. The reinforced concrete
standard breaks off at approximately hid
=
43; thus, whilereinforced concrete is no longer adequate, a still slenderer bearing structure can be erected with high quality brick
masonry. The same holds even for eccentric loading. This
ウエイ。ゥセィエ line intersects the abscissa at even smaller
slender-ness ratios; the admissible stresses through the centre of
gravity also decrease with increasing eccentricity. The
bear-ing capacity of the masonry 18 em. thick is about 20% less than
that of the 12 em. and 15 em. masonry. This is so because the
18 em. brick shows greater residual stresses.
The effect of the bond is shown in Fig. 19 and in Table
III. The numerical values of the 12 em. one brick wall are
compared with those of a 25 em. bond wall, in which half of
the bricks are headers. For centric loading and a small
slender-ness ratio, for which the strength is decisive, the 25 ern.
masonry with its 50% header cross-section must have a smaller
bearing capaoity. Under centric loading of the compact
one-brick wall (hid
=
10) the breaking load is 48% higher thanfor the 25 em. bond masonry. For hid = 20, however, it is only
17% greater (Table III). Under eccentric loading the weakening
at the header cross-section can no longer play any great part. At higher slenderness ratio, i.e., in the buckling region, the reduced transverse tensile strength has no further effect, and indeed because of the comparatively greater trueness to size the buckling strength of the 25 em. masonry is even great-er than that of the 12 em. masonry.
Table
IV
tells something about the stress conditions ofa 20-storey apartment house with 15 em. unstiffened partitions.
For a safety factor of 4 a masonry strength of 177 kgm. per
cm.::l must be ahown . Test values from certain brickworks have
even exceeded the 200 kgm. per cm.2 limit, so that nothing
ウエ。ョセウ in the way of increasing the number of storeys.
The bases of 」セャ」オャ。エゥッョ
The simplest method of calculating the eccentricity is to
use a sub s t.Lt ut Lon system in the form of a IIdouble cross" from
which the peak moments can be calculated for the most unfavourable useful load distribution (Checkerboard distribution
Fig. 21 shows the influence of the stiffness coefficient a a = h Jr Er
-t
J
sE
sfor equal spans. The factor a decreases very sharply with
in-creasing stiffness.
The stiffening of unpierced walls can be taken into ac-count by the following expression
o
permiss. = 0k + (0s - ak) TJ3
where TJ3 can be obtained from Fig. 22.
The stiffening effect of wall sections perpendicular to the wall being calculated can be taken into account by reduction
of the slenderness ratio. The eccentricity of the point of
load application is most easily determined by graphical means. The corner stiffening, however, reduces not only the slender-ness ratio, but also as a rule decreases the degree of
eccent-ricity. This leads to the important conclusion that in draWing
the ground plan, especially for the case of heavily loaded
pillars, use may advantageously be made of this material saving
fact. For, the less eccentrically the load is absorbed by the
wall, the smaller may be the wall thicknesses chosen. In order
to avoid constraining stresses and cracks resulting therefrom, the greatest possible uniformity in the deformation of all wall sections within a given storey should be striven for in tall
houses. Only in this way, also, can local overloadings and
excessive bending and shearing stresses and their consequences be prevented in the concrete ceilings.
Building ゥョウー・」エセッァ
This must cover not only the checking of building material
but also the masonry work. The joint thickness, straightness
of joints, cut of bricks, plumbness and curvature of walls, joint filling, spalling and cleaving, perforation, etc., are all factors which definitely affect the bearing capacity of the
permeable in a brick Dense outside layers
masonry. Fi,t?:. 23 and 24 give the br-t ck and mortar strength
values obtained from three bUilding sites. Other constructional eneineering factors
Thermal ーイッエセ」エゥッョ of outside walls. Denser brick and
denser cement mortar conduct heat more effectively, and there-fore greater wall thickness must be chosen especially for the
upper storeys which are more exposed to the wind. 32 cm.
masonry with cement mortar joints may still suffice in the
centre rooms. In rooms with outside walls, however, where
ventilation is insufficient, water condensation must be expect-ed, especially if fuel is used sparingly.
If the surface layer is sufficiently masonry, vapour permeability is assured. should be avoided.
Driving rain can be warded off either by a suitably applied external plaster, which must be in three coats, or,
in the case of common brickwork, by grouting at the place where the rain penetrates.
Loaded brick walls 15 cm. thick, plastered on both sides, also provide adequate sound insulation for partitions between
apartments. Good stiffening by means of bricked, bonded-in
partitions in each storey, tied with a heavy reinforced con-crete plate would also afford considerable resistance to the blast of bombs, a greater one, at any rate, than facades
stif-fened only by light walls. Concl us i.2.B
Brick, known for several thousand years, has recently been developed into a comparatively strong building material
in a few Swiss brickworks, mak1ng it poss1ble to construct buildings up to 20 and more storeys, assuming, of course, that the partitions can also be used to absorb some of the load.
Masonry erected セャゥ th these bricks requires no forming and no
reinforcement rods, will support loads within a relatively short time and thus makes possible a relatively rapid tempo of
construction. It provides good thermal insulation, absorbs
fire-proof, which are certainly also factors to be considered in
a tall building. It also insulates extremely well against
airborne and solid-conducted sound. With proper designing
of the structure there is no danger of cracking due to con-straining pressures.
The brick industry has thus shown its ability to keep pace with the times and to produce a high quality building material for the construction of high buildings, with which it is possible to execute load-bearing walls with dimensions which doubtless offer an economic advantage 1n addition to their technological qualities.
セ。「ャ・ I
Influence of the absorptive capacity of the brick on the deformability and the bearing capacity of the wall
One brick wall 12 cm. of insulating bricks 13i x 12 x 25 cm.
with lime cement mortar HK 250 + P 100, compressive strength
of mortar 30 kgm. per cm.2 ; slenderness ratio hid
=
25, knifeedge suspension, mean value from two piers, age 29 days
Deformation for
0::: 5 kgm. per Masonry strength Ratio
.
cm.2 >. l=l セ ...-l セ S -0 セ 0 . .ro", セ «l E3 Q).
0 o '0 > 8 セ ...-l 8 Q) H rn 0 > Q) rnカセ⦅ l=l 0 0 セ セ 0. Q) セ 0 セ セ セ H l=l ...-l n H r-f r-f 0 m 0..
ーLセ l=l H セ II H E! S 0 セ pLiセ l=l II II 0 bO o l=l ...-l l=l Q) rn ッセ セ Q) II 0 S Sa
.0 l=l ro 0 0 0 < セ r-fH Q)=
8 Q) イッセ r-f セイョ (,.., 0 Q) 8 セ A > 40 0.102 7.84 39.5 6.0 0.152 B 40 PセPXU 4.69 59.8 6.2 0.104 C 33 0.059 1.60 65.0 15.8 0.243 D 12 0.028 0.60 82.8 34.8 0.420 E 7i 0.022 0.33 107.2 58.0 0.521Table II
Influence of absorptive capacity of brick on the bearing strength of the brick
One brick wall 12 em. of insulating bricks 13i x 12 x 25 with
lime cement mortar HK 250 + PlOD; slenderness ratio hid
=
26,compressive strength of mortar セ
=
30 kgm. per 」ュセ , knifem
edge suspension, age 28 days
Condition of Mean masonry strength Ratio
brick
" centric" eccentric m
=
1 m=
lim AS0Dry 51 3.9 0.076
Stored 2 days in
water 60.4 23.2 0.385
Dry/wet 85% 17%
Table III
Ratio of masonry strength of the 12 em. one brick masonry to that of the 25 em. bonded masonry
Influence of the bond by comparison of a 12 em. one brick wall
With one consisting of header and stretcher rows. Brick format
Yセ x 12 x 25 em. compressive strength of brick セウ
=
289 kgm.per cm.2 , lime cement mortar HK 250 + PlOD, compressive
strength of mortar セ
=
30 kgm. per cm.2 , age 29m
days, knife edge suspension
Slenderness ratio Strength ratio m.
hid 0 セ 1
It
10 1.48 1.17 1.0 0.86
15 1.25 1.15 1.06
High building of brick masonry
Span width: 2 x 5.0 m. Wall: 15 em.
Ceiling, solid 14 em. Useful load: 200 kgm. per m.2
Storey height: 2.8 m,
hid = 2.8/0.15
=
18.6 (without stiffening!)Storey,
・]mュ]セ セ
counting from Pv Pseh Osch av
above P k t./m: t./m: em. kgm./cm.2 kgm./cm.2 kgm./cm.2 I 2. 6.11 5.61 1.48 0.59 3.74 4.08 16 N... I 5. 16.19 16.69 0.53 0.21 10.5 10.8 43 5. 16.19 15.69 0.53 0.21 10.5 10.8 43 10. 32.99 32.49 0.26 0.10 21.7 22.0 88 15. 49.79 49.29 0.169 0.068 33.0 33.2 132 20. 66.59 66.09 0.126 0.050 44.0 44.4 177 25. 83.39 82.89 0.100 0.040 55.1 55.7 223
v = full load M
=
crown momentFig. 1
Masonry of natural stone after fracture. Crack formation
takes place predominantly above the head joints due to transverse tensile and tensile building
Fig. 2
Masonry of insulated brick from three brickworks after
fracture. Cracks above head joints.
F1g. 3
Br1ck masonry w1th standard br1cks, 38 cm. th1ck, after
fracture. Crack1ng f1rst 1n the three shells
Fig. 4
Cement bricks with cross ties after fracture under eccentric
load. Obvious displacement of the two shells as a result
Fig. 5
25 cm. thick masonry in the 500-ton press with knife edge
suspension on both sides. Steel girders top and bottom
for uniform application of the load to the test body. Length measurement at the four edges and two
Fig. 6
15 em. brick test masonry in the 500-ton ーセ・ウウN Steel beams
and knife edge suspension. meters for. measuring the
uo- ---l:> ell oil
..
L +..
,... 50'f--f-+--o I.-c o..
• I:I
CementュセLNイ。NLN
I II
i 445 Fig. 7Stress-strain diagrams for the three masonries with the three
kinds of mortar: hydraulic lime mortar HK 350, lime cement
mor-tar HK 250 + P 100 and cement mortar P 300. li standard bricks
with 289 kgm. per cm. 2 compressive strength. Centric loading,
slenderness ratio hid セ 20, wall thickness 12 em.,
width of wall 80 em., age 29 days
,
30 25 20{
M M セ M M } M - - -セセセセ
-セQN 10 5 セ 'oj( 60 - - - - セMM f.I " C l! 40----...
..,...
セ 20--o oil d £ 0AMMMMGMMGMGMTMGNMMlMBMMMMャMLA[MMjlNlセセNNNlNNNlセLMlMGNjMj⦅⦅⦅⦅ゥ\lNNllNNlNZ[イA[⦅G⦅MGMMGMセ o1
'20.---,---,---d -:--.. € .:2セッッ ---__._l--= j -s セ ___ 80-rr
Slenderne&t. rat-1o lid
Fig. 8
Buckling stresses of a brick masonry 12 em. thick. li standard
bricks 12 x 25 x 9.5 em. with round perforations, mean
compres-sive strength 289 kgm. per cm.2 , lime cement mortar, mean mortar
strength 29 kgm. pOT' セュNRL l.-J1rith RO crn , セ Rge 29 days. Knife edge
suspension. Test points and those calculated theoretically from
the stress-strain diagram for an initial eccentricity p' セ 1/1000.
Fig. 9 Fig. 10
Fig. 9: Schematic representation of the masonry with bricks
cut from a crooked string. Increased stresses on the
side at which the joints are thinner. Hence greater
deflections of the wall and a lower bearing capacity.
Fig. 10: Schematic representation of a masonry constructed
with bricks of unequal width. The one-sided
compact-ness of the masonry results in local. eccentricity and stress concentrations.
I
,
I
セ
I
I
1セ
II
I
Fig. 11 Fig. 12 Fig. 11 Fig. 12:Smaller brick widths relative to the length of the bricks result in wider centre joints, whereby the header is more severely stressed by tensile bending and shearing stresses.
In higher bricks resulting in non-parallelity of the
cut faces, a fairly ャセイァ・ セゥウャッ」。エゥッョ of the local
Fig. 13
When a thin masonry is erected the upper part
moves back and forth. A highly absorptive brick
dewaters the layers of mortar so that the mortar loses plasticity and thus is rounded off towards
the edges (teeter-totter effect). Under centric
loading stress concentrations occur at the centre; under eccentric loading much greater deflections
of the masonry and a reduced bearing capacity result
I ..
O'/Ho' $6·a·400 Hyper bol •• "'auBf'werh ausャセッiゥエゥイウOャャゥョ・ョ J,.:d· ttcm
6 _ • • • JIS:d-tSan
J.,d·,scm
tI• Mlluef'werlt <IUSNOIYnalsleinen N
L./ dセ 25 (V"""'''''e' hyd' l/oIhmo,./el)
.-
ᄋMMMMイMMMQセMM1" "
⦅セM]
20 JO 40 SO {IO 70
of absorbed water/area in
min. (1 em. submerged depth)
t ('oJ
.
セe 60 .-iエヲセ.
.s:: 8 セ eo 「dセ Q <D I::: s, ..-l #J セ (/)...
M Q) l> II ..-l (/) S (/) Q) 0 セ ..-l P. セ 8 .p..
0 I::: 10 o Q) 0 0 Q) ..., 0 -0 10"s
::= Wt. gm./dm.:2 Fig. 14With increasing absorptive capacity of the brick the bearing capacity falls sharply due to the greater deflection of the
masonry which is loaded eccentrically in the core region. The test points scatter about a hyperbola
Mauerwerk aus Isoliersteinen ::= Masonry of insulating brick
Mauerwerk aus Normalsteinen ::= Masonry of standard brick
180 180 401--_ _
[
m ... 0d =18r:
em _ _ _ _ _ _ hId=17,2, Reduktionsfoktor: 0,8 I セ - IpmpntTnorlel セ iセHャャMMMZ[GBB、MMMMKM⦅ • VNI Morlel -" '" セ..
100 ';;; セ..
80 J ... セ 60_ o ::; セ r-f'---r---j1-'
d =15em m""O _h/d=1"5 4('1 - - - - + - - - - j - - - 1 I: 1(,0 .. co -;;',,40 _r,
c セ =lemenlmorlel .:. 170I - - - f < - - - - j - - •• veri. Morlel OJ -" go 100 '" .2! '" '" 80I---=::'Olo;;:---+---""'rl'---+--l!
セ 60 o ::; '" £. 0," 1-- + -;:; -t:..
> 0,31---1---'''''' + -(l,,;I - j HャLセ I - - - - n , - .+ - - - - 1 - - - j - - - - 1 co Jo,jqfoh'gkp,1 onq dm' ,"on o _._'1 ....
7f .__'[__.セl...
セo '"セQQPLセヲMMM
0..0.. n f;O ISouqoh''Jke,1 If' 9 dm2.m,n 20 .10 40 so I I I I 10
--\
\.
0ッセセ|N
«!'セia
•.
セ
.
1O 20 30TPセ
'I 0,2 0,'-1
0 " ·0,5 rfc1 Fig. 15Results of bearing capacity tests of 15 and 18 em. thick
mason-ries of bricks from various brickworks. Reduced compressive
strength of brick セウ セ 300 kgm. per cm. 2 • Cement mortar and
lime cement mortar. Strength of masonry under centric loading
as a function of the absorptive capacity of brick and the ratio of the bearing strength under eccentric (in the core
region) and quasi centric loading
Mauerwerksfestigkeit
=
Masonry strengthZementmortel
=
Cement mortarverI. Mortel
=
Lime cement mortarSaugfahigkeit
=
Absorptive capacityReduktionsfaktor
=
Reduction factoro
B
..
Fig. 16
When the joint mortar dries from the outside towards the in-side cracks form which result in an effect which is similar,
but much weaker than the teeter-totter effect
Fig. 17
The bricks from the Ziegelei Paradies used in the Schwamendingen
skyscraper. Width 12, 15 and 18 cm., length 25 cm., height 13.5
cm. Trueness to size: tolerances; width, length, height: 1.0,
1.0 and 1.5%. Mean values may differ at most by 3.3
60 10 N go ..--- _.
r-·-·--_·_-
-1--5 E <, c: Z セSPP セ .+--__-+ S =15g/dm . min _ :; {3s =400 kg/emz .L. N コ・ュ・ョセュゥZ^イエ・ャコbヲSュ =200 セ 2' d =12. 15em1
rooセセMMGャャイMiMMML
ッMMュNMッNMZMセセMャBGGGGo、ャョ
=5_ _ セ .b-d6 セヲMMMcセN MMMセuM Fig. 18Mean curves through the test points of the masonries of 12 and 15 em. thickness erected with high quality bricks from various
brickworks. Compressive strength of brick 400 kgm. per cm.2
,
specific absorptive capacity 15 gm. per dm.a min., compressive
strength of mortar after 28 days 200 kgm. per cm.2 , admissible
stresses for various eccentricities m of the point of load
ap-plication approximately 0,
i,
1 and li as a function of theslenderness ratio
Mauerwerksfestlgkeit
=
Masonry strengthZementm5rtel
=
Cement mortarSlcherheitsgrad
=
Safety factorwo _ _ _ _ _ 0 _ _ _ _ _ _ --_ .._...MMMMセM iI 90 RD <01"-" 70 セ 60 -e t-o-, II: 50 41 "--to : . 40 L I: 0 1/1 30 d セ 20 /0 0 10 Lp.!Jend: d= 12cm, d:25cm m=0 0 - . m='lz m=1 m=1'/2 Fig. 19
Strength of one brick and bonded masonry with equal
slender-ness ratio of 10 to 20. Lime cement mortar, ャセ standard
for-mat, compressive strength of brick 289 kgm. per cm.2 • Under
centric loading the one brick masonry is superior. With
in-creasing slenderness of the test wall and inin-creasing eccentri-city of the load application the bearing strength changes in
favour of the thicker, relatively more accurately constructed bonded masonry
h
0,
= I, k k - J,E, セM J,E, M, e,= P, M2 e2= P 2 h k ' 2 h I h -- 1C h P 21,2 (1 +r) -122r M,= 4 4 (1+r)2-.:...,.2-M, 21,2 (1+r) --122 r M2 212'l (1+r) ---1,2r 1 +- "I +"2= r p 2122(1+r)--1,2r M2c= 4 4 (1 +r)2- r2 Fig. 20Simplified calculation of the eccentricities of walls taking
into account the stiffness of the 」・ゥャゥョセL crown and foot
A 0.05 -
--T
セMMャMM 0.04 ·1,M=qe'AJ
--n.nJf- --- -_.
__.-o,nnl I 0,02 .... I -0,01 I ''),0092 --- - - - --- t---·-O,OOJ8 0,001 0,00135 o 10 20 30 o:=Jl....1ice J,t, Fig. 21 0.6-1/, O.BEffectiveness of ceiling and wall stiffness on the crown moment M for equal span Width
r---
r-1-r---
'-l
- N-[1t ( ; , -1)77,jo-;.r
-
---I
HjBセ ="lz·a;j
I '
1,,,]- -
T
-:::l:
I · I .1-1 . '"
\1-__'1 lo :;o:.. Z::...,5 -+---.l0.10 I i I I I : a -t--1-j.j;-- 2--セェ MセMMZMMMMMGャMti ィLMMMセU Fig. 22Stiffening by means of partitions increases the bearing capacity (bearing wall without openings!)
'-'" N c-; -c」ューイ・NセウャBC・N strengTh kg/cm2 300 Mセ ....
,oo.·n
100 ;:;- '" _ 1.O "" rr'I ... -50H
BGケMMMMBGB_MMKMNjLNNNNMMM[MMNNNNNLGMMMMM\MMNNjNMM_MMM\MMMTセ o_.-LL
P400 :...---P350---Arranged by date of manufacture
Fig. 23
Mortar strength from 4 x 4 x 16 cm. prisms, supplied by the
Altwyler apartment building construction office in Berne. Decreasing mortar strength with decreasing stress on masonry
g/dm2min so 40 Spe.t.IF,t. a..bsoY'ptlve co.po.city 10 20 -o
bricks _JiO.!17 W.!18)1O)l?WJ1RJlOWI1RJfOWllR.!lRl1sW}lRW W
Brickworks f----セMM A -- 1 B B eBB B
Arranged by da.te of manufacture Fig. 24
Compressive strength and specific absorptive capacities of
bricks of high quality and of st.anda.r-o quality, "AI twyIer" ,