cyclic behaviour of typical metal connectors for cross-laminated (clt) structures
TRANSCRIPT
ORIGINAL ARTICLE
Cyclic behaviour of typical metal connectorsfor cross-laminated (CLT) structures
Igor Gavric • Massimo Fragiacomo •
Ario Ceccotti
Received: 19 November 2013 / Accepted: 5 March 2014
� RILEM 2014
Abstract An extended experimental programme on
typical cross-laminated (CLT) connections was per-
formed at IVALSA Trees and Timber Institute. The
paper discusses the results of monotonic and cyclic
tests in shear and tension (pull-out) carried out on
hold-downs and steel angle brackets used to anchor the
wall panels to foundations or to connect wall panels to
floor panels. Mechanical properties such as strength,
stiffness, energy dissipation, impairment of strength
and ductility were evaluated and are critically dis-
cussed in the paper. Significant ductility and energy
dissipation was attained in most of the tests. Never-
theless, brittle failure modes were observed in some
tests, indicating the need for introduction of capacity
based design principles for CLT connections. The
overstrength factors, which are needed for capacity
based design, were also evaluated for the different
types of connection tested. A comparison between the
test results and the analytical formulas provided by
current codes of practice and new proposals is also
provided. The approach developed by Uibel and Blaß
gives slightly more accurate CLT metal strength
predictions compared to the existing formulas in
Eurocode 5. Both approaches lead to very conserva-
tive results. However, analytical models for the
prediction of CLT metal connectors’ stiffness signif-
icantly overestimate the experimental values. There-
fore, it is recommended that currently only
experimental strength and stiffness values of hold-
downs and angle brackets be used in seismic analyses.
Some proposals to improve the mechanical perfor-
mance of metal connectors in terms of strength and
stiffness are also given based on this experimental and
analytical study.
Keywords CLT metal connectors �Cyclic tests �Analytical models � Capacity based design �Overstrength ratio � Ductility � Timber
1 Introduction
Cross-laminated timber panels (CLT or Xlam) are
used more and more as construction material for
buildings, both as load-bearing elements (floor, wall
and roof panels, linear beam members, etc.) and non-
load-bearing elements. Applications include residen-
tial and non-residential buildings, reconstructions,
I. Gavric (&) � M. Fragiacomo
Department of Architecture, Design and Urban Planning,
University of Sassari, Palazzo del Pou Salit, Piazza
Duomo 6, 07041 Alghero, Italy
e-mail: [email protected]
M. Fragiacomo
e-mail: [email protected]
A. Ceccotti
CNR IVALSA Trees and Timber Institute, S. Michele
all’Adige, Trento, Italy
e-mail: [email protected]
Materials and Structures
DOI 10.1617/s11527-014-0278-7
extensions and upgrades, building retrofits, and multi-
storey mid-rise and high-rise construction.
Since such panels are fairly stiff in their plane,
particularly when obtained by gluing adjacent layers
of planks, they cannot dissipate significant amount of
energy during an earthquake. The mechanical con-
nections between adjacent panels and with the foun-
dations hence become the most important component
affecting the static and cyclic behaviour of CLT
buildings, as most of the building flexibility is
concentrated in the connections. In addition, mechan-
ical connections in CLT buildings play an important
role in maintaining the integrity of buildings and
providing the necessary strength, stiffness, stability
and ductility [17].
Metal angle brackets, hold-downs, plates and straps
are used to transfer forces from walls to floors, from
one level to another level, and to foundations. Hold-
downs are mainly used in the corners of wall segments
and close to door opening, to resist overturning forces
that result from an earthquake or wind. On the other
hand, the main role of L-shaped metal brackets is to
resist shear forces in wall panels caused by wind or by
a seismic event. Nails with specific surface features
such as grooves or helically threaded nails are mostly
used with perforated metal plates and brackets and
installed on the surface of the panel to connect the
metal hardware to the CLT panel.
The different orientations of adjacent layers in CLT
panels, their built-up nature, the gaps between the
longitudinal boards, the edge gluing, if any, and the
possible presence of grooves sawn into the boards to
relieve drying stresses, make the determination of the
fastening capacity in CLT relatively difficult to predict
compared to traditional sawn timber or engineered
wood products. For a reliable seismic analysis,
therefore, it is crucial to investigate the cyclic
behaviour of the connections between CLT elements
and with the foundations. Experimental test results are
required to feed advanced numerical models [23], for
the development of design methods, and for the
derivation of analytical calculation models of input
parameters such as strength and stiffness of connec-
tions, which are required in seismic analysis of CLT
structures [16].
So far, no relevant design codes for CLT construc-
tion were published in Europe. In recent years, several
research projects in Europe and in North America have
been launched, with the aim to better understand the
potential of CLT technology as a seismic resistant
construction system. A comprehensive investigation
was undertaken at University of Ljubljana, Slovenia,
to determine the seismic behaviour of CLT connec-
tions and wall panels [6]. An experimental research
programme on CLT metal connectors was also carried
out at the University of Trento, Italy [1, 26], FPInno-
vations, Canada [25] and Technical University of
Graz, Austria [15]. Experimental mechanical proper-
ties of CLT metal connectors under cyclic and
monotonic loading were determined and failure modes
were presented.
Within the SOFIE project, carried out by CNR-
IVALSA Trees and Timber Research Institute (San
Michele all’ Adige, Italy), seismic behaviour of multi-
storey CLT buildings was studied. An extensive
experimental programme was conducted, including
racking tests of wall panels and sub-assemblies [3],
pseudo-dynamic tests on a one-storey building, and a
series of shaking table tests on three- and seven-storey
CLT buildings [2, 4]. The tests provided excellent
outcomes, as the buildings were able to survive strong
recorded earthquakes, with minimal structural dam-
age, while at the same time demonstrating significant
energy dissipation.
Further research was still needed in order to better
define the seismic behaviour of typical CLT connec-
tions, as they govern the behaviour of CLT wall
systems and of entire CLT buildings. Thus, in 2010 an
extensive experimental programme aimed to fully
characterize the typical CLT connections initiated as a
research collaboration between CNR-IVALSA and
the University of Trieste, Italy [18–20]. Twenty
different configurations of CLT connections used in
the SOFIE buildings were tested under monotonic and
cyclic loading.
In this paper, the results of hold-down and angle
bracket connections are presented and critically dis-
cussed. Important quantities for seismic design such as
strength, stiffness, energy dissipation, impairment of
strength, and ductility of the connections are evalu-
ated. A comparison between experimental test results,
the analytical calculation method developed by Uibel
and Blaß [28, 29], and the analytical formulas of
Eurocode 5 [9] is also provided. Analytical models for
the determination of stiffness of CLT metal connectors
are also presented and compared with the experimen-
tal results. In addition, the overstrength factors are
calculated, which are needed in capacity-based
Materials and Structures
seismic design and are currently not provided by codes
of practice such as Eurocode 8 [10]. Lastly, some
suggestions to improve the behaviour of the CLT
metal connectors are given.
2 Experimental programme
2.1 Test configurations and setups
A reference point for the experimental programme on
typical CLT connections was the three-storey SOFIE
building, which was tested on shaking table in
Tsukuba, Japan, in 2006 [2]. All wall elements of
the building were 5-layered panels made of spruce and
with 85 mm thickness. The panel build-up was 17-17-
17-17-17 (in mm), where the numbers in bold
represent the thickness of layers with orientation of
grain perpendicular to the layers with thickness
provided by numbers in normal font. The floor panels
were also made of 5 orthogonally crossed layers with
doubled layer in the middle: 27-17-27-27-17-27 (in
mm). The total thickness of the floor panels was
142 mm. CLT wall panels and floor panels were
connected to each other with self-tapping screws,
while the wall elements were anchored to CLT floors
and foundations with metal connectors (hold-downs
and brackets). The building was built on a steel base
foundation as shown in Fig. 1.
Based on the connections that were used in the
reference building two main CLT connection test
groups were determined: (i) metal connectors (hold-
downs and angle brackets) with eight different test
configurations (Test #1–Test #8); and (ii) screwed
connections with twelve test configurations (Test #9–
Test #20). The types of connections and CLT panels
used in the tests were equal or similar to the ones used
in the reference building. The number of fasteners
(nails) used to connect the metal connectors to the
CLT panels and the fastener spacing was in accor-
dance with the reference building as well. The
reasoning behind this choice is the need to fully
characterise the cyclic behaviour of each connection in
the SOFIE CLT building, with the aim to provide input
data to advanced numerical model and design values
to practicing engineers. In this paper experimental and
analytical study of CLT metal connectors (hold-downs
and angle brackets) is presented, while more details on
experimental study of CLT screwed connections can
be found in Gavric et al. [20] and Gavric [18].
Two different types of hold-down and angle bracket
connections were tested under monotonic and cyclic
loading: CLT panel-steel base foundation and panel–
panel connections, representative of wall panels to
foundations and wall-to-floor panels connections in
the upper stories of CLT buildings, respectively. Both
Fig. 1 Three-storey SOFIE building
Fig. 2 Elevation (right) and cross-section (left) of test setup
used for wall-foundation hold-down connection loaded in
tension (Test configuration #1)
Materials and Structures
hold-down and angle bracket tests were performed
separately in two directions: shear and tension. The
test setups of hold-down tests in tension direction are
displayed in Fig. 2 (Test configuration #1—wall
panel-foundation) and Fig. 3 (Test configuration
#2—wall panel-floor panel).
Similarly, there were two cases of shear tests of
hold-downs: wall panel-foundation (Test configura-
tion #3, see Fig. 4) and wall panel-floor panel (Test
configuration #4).
The test setups for angle brackets configurations #5
(panel–foundation tension tests), #6 (panel–panel
tension tests), #7 (panel–foundation shear tests) and
#8 (panel–panel shear tests) were fairly similar to the
ones for the corresponding hold-downs tests, respec-
tively. The only differences lay in the choice of an
adequate wall panel size [18]. In Table 1 information
of test configurations with the number of cyclic tests
performed and number of repeated cycles at each
displacement rate are presented. In addition, maxi-
mum resistances (Fmax) obtained in the tests are
presented along with the maximum resistances after
the 3rd loading cycles (Fmax(3rd)). Test results will be
discussed in Sect. 3.
The hold-downs used in Test configurations #1 and
#3 were type WHT540 with twelve 4 9 60 mm Anker
annular ring nails. This relatively new type of hold-
down matches well the geometry and thickness of the
older type HTT22 of hold-down, originally used at the
ground storey of the three-storey SOFIE building. The
hold-downs used in test configurations #2 and #4 were
type WHT440 with nine nails (same type of nails as for
tests #1 and #3). This hold-down has the same
geometry as the hold-down HTT16, which was
originally used in the upper stories of the three-storey
SOFIE building. The only differences between hold-
downs WHT540 and WHT440 are the height of the
connector, and consequently the number of holes
available for fastening the hold-down to the wall
panel. Both types of hold-downs were anchored to a
steel base with a 16 mm diameter bolt.
The type of angle brackets used in Test configura-
tions #5 and #7 was BMF 90 9 116 9 48 9 3 mm
with eleven 4 9 60 mm Anker annular ring nails.
Each bracket was anchored to foundations with one
U12 bolt, the same as the brackets used at the ground
level of the three-storey SOFIE building. In Test
configurations #6 and #8, 100 9 100 9 90 9 3 mm
BMF angle brackets were used, representing the wall-
floor connection of upper stories in CLT buildings.
The brackets were fastened to the wall panel with eight
4 9 60 mm annular ring nails and to the floor with six
4 9 60 mm annular ring nails with two additional
HBS screws 4 9 60 mm.
2.2 Loading protocol
Eurocode 8 [10] states that the properties of dissipative
zones of timber structures should be determined by
Fig. 3 Elevation (right) and cross-section (left) of test setup
used for wall-floor hold-down connection loaded in tension
(Test configuration #2)
Fig. 4 Elevation (right) and cross-section (left) of test setup
used for wall-foundation hold-down connection loaded in shear
(Test configuration #3)
Materials and Structures
tests performed either on single joints, on whole
structures or on parts thereof in accordance with EN
12512 [11]. The standard procedure for cyclic testing
of joints made with mechanical fasteners prescribed
by EN 12512 was followed in all of the tests, with
input displacement rate varying from 0.2 to 0.8 mm/s
so that the duration of each test did not exceed the time
limit of 30 min. Monotonic tests were carried out by
displacement controlled ramp loading at a rate varying
from 0.05 to 0.2 mm/s. Specimens were stored and
tested under controlled environmental conditions with
50 % relative humidity and 20 �C temperature. After
each test, the moisture content and density of the CLT
specimens were measured.
All cyclic shear tests were conducted using a
reversed cyclic loading procedure with predefined
yield values, which were varied from configuration to
configuration, depending on experimental yield values
obtained from the monotonic tests. However, all
tension tests were subjected to a non-reversed modi-
fication of the procedure outlined in EN 12512 due to
restrained movement (timber–timber or timber-foun-
dation contact) in compression. Basically the displace-
ment was cycled from zero to a positive (tensile) value
without the excursions in the negative (compression)
values. For each of the eight different configurations, at
least one monotonic and six cyclic tests were per-
formed in order to obtain statistically representative
values.
3 Experimental test results and discussion
The values of mechanical properties for a single
specimen were analyzed by taking into account the
results from both sides of the hysteretic loops, except
for the cases where loading in tension only was carried
out. The mean values for a specific connection
configuration were obtained by calculating the average
value of all six cyclic test results within the specific
configuration. Based on a statistical analysis of the
experimental results, the coefficients of variation
(COV) were calculated. All graphs, results and anal-
yses of connection tests presented in this paper refer to
one connector (one hold-down or one angle bracket).
3.1 Cyclic tests of hold-downs
All cyclic tests of hold-downs in axial (tension)
direction revealed failure of nails due to vertical
displacement of the panel. After the end of the tests, the
steel part of hold-down was virtually undamaged,
although significant bending deformation could be
observed even in the elastic range. Failures occurred
due to pullout of the nails, either by tearing of the nail
cap or by a combination of nail withdrawal and
bending. Figure 5 shows the typical hysteresis loops
for hold-downs loaded in tension (Test configuration
#1).
In the shear direction, mainly deformation of the
steel parts of the hold-down was observed, leading to
failure of the steel due to local buckling or to a
combination of bending of steel and withdrawal of
nails (Fig. 6). Both failure mechanisms occurred at
very high (more than 100 mm) displacement levels. At
the ultimate slip value of 30 mm, according to EN
12512, the connections were still in the second linear
branch of the backbone curve (Fig. 7).
In the case of wall-floor hold-down connections,
compression deformation on the lower part of the floor
Table 1 Metal connectors test configurations and test information
Conf.
no.
Metal connector Nails
no.
Connection type Loading
direction
Cyclic
test no.
No. of
cycles
Fmax
(kN)
Fmax(3rd)
(kN)
1 Hold-down WHT540 12 CLT–foundation Tension 6 3 48.33 41.33
2 Hold-down WHT440 9 CLT–CLT Tension 6 3 36.21 31.27
3 Hold-down WHT540 12 CLT–foundation Shear 6 3 9.98 9.17
4 Hold-down WHT440 9 CLT–CLT Shear 6 3 7.88 6.85
5 Angle bracket BMF 90 9 116 9 48 9 3 11 CLT–foundation Tension 6 3 23.47 18.59
6 Angle bracket BMF 100 9 100 9 90 9 3 8 CLT–CLT Tension 6 3 12.57 10.96
7 Angle bracket BMF 90 9 116 9 48 9 3 11 CLT–foundation Shear 6 3 26.85 18.80
8 Angle bracket BMF 100 9 100 9 90 9 3 8 CLT–CLT Shear 6 3 19.91 14.26
Materials and Structures
panel was negligible during the loading in tension
direction (Test configuration #2). The failure mecha-
nisms of all the specimens in this test configuration
were the same as the ones in Test configuration #1. It
can be concluded that when twelve 4 9 60 mm Anker
annular ring nails or less are used in these types of
hold-downs, the failure mechanism in tension direc-
tion will be due to the yielding of nails, which is a
ductile failure mechanism. When wall-floor hold-
down connections were tested in shear direction (Test
configuration #4), the behaviour was very similar to
the configuration #2. Basically all shear deformation
was a result of the buckling of the hold-down, with
some minor nails extraction at higher displacement
levels. It can be concluded that in shear direction, nails
in hold-downs do not develop their full strength
capacity, as the failure occurs due to the plasticization
of steel part of the hold-down.
Table 2 lists the strength and deformation proper-
ties of hold-downs loaded in tension and in shear
according to EN 12512 [11]. Both mean value (xmean)
and COV are displayed for each mechanical property.
More specifically, kel and kpl represent the initial and
plastic stiffnesses; Fy and vy signify the yielding load
and displacement; Fmax and vmax denote the maximum
load and displacement; Fmax(3rd) is the maximum load
at the 3rd loading cycle; Fu and vu signify the ultimate
load and displacement; D signifies the ductility ratio
(ratio of the ultimate displacement to the yield
displacement). As one of the criteria in EN 12512 to
determine the ultimate value is also the strength at
30 mm displacement, the corresponding force F30 and
ductility ratio D30 are presented for the relevant tests.
The average strength degradation between the 1st and
the 3rd maximum load cycle is denoted with DF1–3.
The energy dissipation properties are measured by the
quantities meq(1st) and meq(3rd), which represent the
equivalent viscous damping ratios calculated at the 1st
and 3rd cycles of the hysteretic loop at the displace-
ment value where the maximum load Fmax was
reached (Eq. 1). The equivalent viscous damping ratio
meq,i expresses the hysteresis damping properties of the
connection and is defined as the ratio of the dissipated
energy in the cycle i (Ed,i) to the available potential
energy in that cycle (Ep,i) multiplied by 4p [5].
meq;i ¼Ed;i
4pEp;i: ð1Þ
Fig. 5 Typical hysteresis loops and monotonic curve for Test
configuration #1
Fig. 6 Wall-foundation hold-down connection loaded in shear
(Test configuration #3)
Fig. 7 Typical hysteresis loops and monotonic curve for Test
configuration #3
Materials and Structures
The available potential energy Ep,i can be deter-
mined as Ep,i = �Fi�ui, where Fi and ui are the
maximum force and maximum displacement attained
in cycle i, respectively [5]. In addition, the 5th and the
95th percentiles of experimental strength capacities
(F0.05 and F0.95, respectively), and the overstrength
factors cRd were derived (see Sect. 3.3 for details).
The pull-out (tensile) strength was almost five times
greater than the shear strength in both cases (wall-
foundation and wall-floor hold-down connections),
while the ductility behaviour was significantly better
in shear as was the dissipated energy, resulting in an
equivalent viscous damping meq ranging from 19.8 to
21.4 % for the 1st cycles and 14.6 to 16.1 % for the
3rd cycles, as opposed to 8.1–8.5 % for the 1st cycles
and 2.8–3.6 % for the 3rd cycles in the axial direction.
This difference is mostly due to bending of the steel
part of the hold-down under shear loading. The
difference between the maximum load at the 1st and
3rd loading cycles in Test #1 and Test #2 was less than
16 %. The yielding force Fy and the maximum force
Fmax in the case of Test #1 was on average 1.3 times
higher than in Test #2. The number of nails used in
Test #1 was twelve while in the case of Test #2 only
nine nails were used, which gives a ratio of 1.3. This
indicates a very similar behaviour of hold-downs when
used for wall–foundation and for wall–floor connec-
tions. It must be pointed out, however, that cases of
brittle failures of hold-downs loaded in tension were
observed in the past [3]. In that case, failure of the net
cross-section of the metal part of hold-down occurred,
as the load-carrying capacity of this part was lower
than the strength of the nailed connection to the CLT
wall panel. This information is relevant for the design
procedure of metal connectors that is discussed later
on in this paper.
3.2 Cyclic tests of angle brackets
The main load-carrying direction for the angle brack-
ets is shear, however the tests showed also a relatively
good behaviour in axial direction (tension). In case of
wall-foundation connection, failures in tension
occurred in the steel base around the anchor bolt
(Fig. 8) which was pulled through the angle bracket.
That resulted in a sudden significant drop of resistance
Table 2 Mechanical properties of hold-down connections according to EN 12512 [11] with overstrength factors (cRd)
Mechanical property Test configuration no.
1 2 3 4
xmean COV xmean COV xmean COV xmean COV
kel (kN/mm) 4.51 14.31 2.65 19.27 3.40 33.25 1.56 16.20
kpl (kN/mm) 0.75 14.24 0.44 19.13 0.28 7.27 0.21 5.43
Fy (kN) 40.46 8.11 32.21 4.52 3.61 35.59 2.72 28.13
vy (mm) 8.81 21.76 11.91 19.83 1.13 42.30 1.71 17.23
Fmax (kN) 48.33 5.37 36.21 5.45 – – – –
Fmax(3rd) (kN) 41.33 7.53 31.27 7.68 – – – –
vmax (mm) 20.30 14.17 21.52 11.00 – – – –
Fu (kN) 38.79 5.31 30.22 12.80 – – – –
vu (mm) 23.75 13.82 22.99 9.51 – – – –
D [–] 2.76 16.21 1.97 13.75 – – – –
F30 (kN) – – – – 9.98 7.03 7.88 4.78
D30 (–) – – – – 31.26 43.50 18.73 20.00
DF1-3 (%) 15.90 34.59 66.30 9.05 12.45 25.48 10.98 20.18
meq(1st) (%) 8.50 5.70 8.11 9.98 19.84 13.91 21.38 6.93
meq(3rd) (%) 2.78 17.29 3.60 24.40 14.63 17.79 16.09 14.86
F0.05 (kN) 42.40 31.59 8.48 7.04
F0.95 (kN) 54.95 41.40 11.70 8.80
cRd (–) 1.30 1.31 1.38 1.25
Materials and Structures
(Fig. 9). The upper part of the angle bracket, which
was nailed to the wooden panel, was hardly deformed.
This brittle type of failure should be avoided in
dissipative CLT connections by providing capacity
based design rules [21].
A different cyclic behaviour was observed under
shear loading. The failure mode was yielding of the
nails with formation of two plastic hinges (mode ‘e’
according to Eurocode 5 [9] Part 1), as shown in
Fig. 10. A slight ovalisation of the brackets around the
bolt resulted in a local drop of strength in each cycle
(Fig. 11), which however did not affect significantly
the overall connection behaviour. Figure 11 shows the
typical hysteresis loops for angle brackets loaded in
shear (Test configuration #7).
The behaviour in tension and in shear direction of
angle brackets connecting wall and floor panels (Test
#6 and Test #8) was similar to the behaviour of Tests
#5 and #7. In tension, a brittle type of failure was
observed, as the nails and screws which were
connected to the floor panel were extracted before
the nails, which were fastened to the wall panel, started
to deform (Fig. 12).
This means that the full dissipative capacity of the
bracket was not achieved, as the ductility and energy
dissipated through nail withdrawal is significantly
lower than it would be in the case of a ductile shear
deformation with plastic hinge formation of nails
connecting the angle bracket to the wall panel. In shear
direction (Test #8), most of the deformation resulted
from yielding of the nails in both wall and floor panel.
Here, only the deformation of nails in the wall panel is
desirable, whereas the connection to the floor panel
should remain elastic. In both cases the importance of
a proper capacity-based design of CLT connections is
shown again.
In terms of strength, angle brackets in tension
direction exhibited a relatively high load-carrying
capacity considering that their primary load-carrying
direction is shear. In the case of wall-foundation
connection, the average uplift resistance of an angle
bracket was 87 % of its shear resistance (Table 3).
This percentage could have been even higher if the
brittle failure in tension due to pull-through of the bolt
had been avoided, for example by using more than one
bolt. In case of wall-panel angle bracket connection,
the axial resistance was 63 % of the shear resistance
(Table 3). Again, this percentage could have been
higher if the brittle failure mode of nail withdrawals
had been avoided, for example using self-drilling
screws instead of slender nails. The difference
between the maximum load at the 1st and 3rd loading
cycles in Test #5 and Test #6 was less than 20 % while
it was less than 30 % in Test #7 and Test #8.
The deformation of nails and steel bracket in shear
resulted in an equivalent viscous damping
meq = 11–14 % for the 3rd cycles. In tension the
equivalent viscous damping was on average 7.1 % for
wall-foundation connections (due to steel deforma-
tion), whereas in the case of wall-floor connection meq
reached only 1.7 % for the 3rd cycles.
It can be concluded that angle brackets contribute
quite significantly to the strength and stiffness of the
joint not only with their shear resistance but also with
their uplift resistance, which should therefore not be
neglected in CLT building design.
Fig. 8 Wall-foundation angle bracket connection loaded in
tension (Test configuration #5)
Fig. 9 Typical hysteresis loops and monotonic curve for Test
configuration #5
Materials and Structures
3.3 Overstrength factors
Brittle members in timber structures must be designed
for the overstrength related to the strength of the
ductile connections to ensure the ductile failure
mechanism will take place before the failure of the
brittle members [22]. Dissipative zones shall be
located in joints and connections, whereas the timber
members themselves shall be regarded as behaving
elastically. Thus, overstrength values of typical CLT
connection have been derived on the basis of statistical
analysis of the experimental test results presented in
this paper.
The ovestrength ratio cRd is defined as the ratio of
the 95th percentile of the connection strength distri-
bution, F0.95, to the design connection strength, Fd
[22]:
cRd ¼F0:95
Fd
: ð2Þ
Based on the statistical analysis of the six cyclic
tests on each of the eight CLT metal connectors
configurations presented earlier in this section, the
design strength capacity Fd was calculated by dividing
the characteristic experimental strength F0.05 by the
strength partial factor cM, assumed equal to one
according to Eurocode 8 [10] for dissipative timber
structures. The experimental characteristic strength
values from tests F0.05 were based on the lower 5th
percentile values assuming the log-normal distribution
with a 75 % confidence level [12], following the
standard procedure for calculation of characteristic
5-percentile values from the EN 14358 standard [12].
The upper 95th percentile values were calculated
using the same standard. The resulting overstrength
factors cRd of CLT metal connectors are presented in
Tables 2 and 3.
The overstrength factors for hold-downs loaded in
tension are on average 1.3, while in shear direction,
hold-downs were found to have overstrength ratios of
1.25 and 1.38, depending on the type of configuration.
For steel angle brackets connecting foundations to
Fig. 10 Wall-foundation angle bracket connection loaded in shear (Test configuration #7)
Fig. 11 Typical hysteresis loops and monotonic curve for Test
configuration #7
Materials and Structures
CLT wall panel (Test #5 and Test #7), the overstrength
factors range from 1.16 to 1.23, depending on the
direction of loading. These results are consistent with
the values of 1.26 in shear and 1.18 in axial direction
proposed by Fragiacomo et al. [17]. Flatscher and
Schickhofer [15] also found overstrength values of
angle brackets below the value of 1.3 in both
directions, shear and uplift. Angle brackets connecting
CLT wall to CLT floor (Test #6 and Test #8) were
found to have slightly higher overstrength ratios,
namely 1.44 in uplift direction and 1.40 in shear
direction due to larger scatter of the experimental
results.
It should be pointed out that these values of the
overstrength factors can be used only for connections
which were experimentally tested and for which the
characteristic value of the strength is provided by the
producers. For connections that were not experimen-
tally tested, higher values of the overstrength factors
shall be used to allow for the difference between the
Fig. 12 Wall-floor angle bracket connection loaded in tension (Test configuration #6, left) and in shear (Test configuration #8, right)
Table 3 Mechanical properties of angle bracket connections according to EN 12512 [11] with overstrength factors (cRd)
Mechanical property Test configuration no.
5 6 7 8
xmean COV xmean COV xmean COV xmean COV
kel (kN/mm) 2.53 9.72 2.98 22.05 2.09 16.41 1.10 12.34
kpl (kN/mm) 0.42 10.11 0.50 22.01 0.35 16.56 0.18 11.95
Fy (kN) 19.22 2.73 11.12 9.69 22.98 5.19 16.61 7.46
vy (mm) 7.26 9.04 3.97 28.12 11.74 5.87 13.73 7.27
Fmax (kN) 23.47 4.32 12.57 7.71 26.85 3.15 19.91 6.95
Fmax(3rd) (kN) 18.59 9.72 10.96 7.80 18.80 10.25 14.26 9.75
vmax (mm) 17.69 9.62 7.10 10.62 28.51 14.75 29.09 7.01
Fu (kN) 18.74 4.32 10.06 7.68 21.48 3.15 15.86 7.59
vu (mm) 23.19 6.14 20.01 46.39 31.86 0.33 52.26 2.21
D (–) 3.21 6.86 5.40 54.20 2.63 6.03 3.97 10.81
DF1–3 (%) 22.85 32.43 9.26 9.32 32.59 9.31 28.20 6.79
meq(1st) (%) 12.33 5.43 7.40 11.71 22.75 5.93 17.49 5.59
meq(3rd) (%) 7.07 19.17 1.74 10.90 14.01 6.84 11.17 14.15
F0.05 (kN) 21.16 10.45 24.89 16.80
F0.95 (kN) 26.00 15.05 28.93 23.49
cRd (–) 1.23 1.44 1.16 1.40
Materials and Structures
predictions using the analytical formulas and the
actual experimental values.
4 Analytical models and comparisons
with experimental results
Comparisons among the experimental values obtained
from CLT connection tests (Sect. 3), the characteristic
values calculated following Eurocode 5 [9] provisions,
and the characteristic values determined using the
embedment formulas proposed by Uibel and Blaß [28]
are presented in this section.
4.1 Strength capacity of typical CLT metal
connectors
A typical connector (hold-down, angle bracket) used
in CLT construction consists of a metal part connected
to two CLT panels (or a CLT panel and the foundation)
using fasteners such as nails and screws. The metal
part is usually a linear member and, as such, cannot
transfer significant bending moment. CLT connectors
therefore transfer axial and shear forces between the
two connected panels.
The shear strength capacity FRd,x and axial strength
capacity FRd,y of a CLT metal connector is the minimum
among: (i) the shear and axial capacities of the upper
connection to the CLT panel FRd,upper,x and FRd,upper,y;
(ii) the metal part of the connection, FRd,metal,x and
FRd,metal,y; and (iii) the lower connection to the CLT
panel or foundation FRd,lower,x and FRd,lower,y:
FRd;x ¼ min FRd;upper;x; FRd;metal;x; FRd;lower;x
� �; ð3Þ
FRd;y ¼ min FRd;upper;y; FRd;metal;y; FRd;lower;y
� �: ð4Þ
For hold-downs and angle brackets loaded in shear
direction several failure modes are possible:
• shear failure of nails, attached to the CLT wall
panel (FRd,upper,x)
• group tear out of the fasteners (FRd,upper,x)
• net section failure of the steel part of the angle
bracket (FRd,metal,x)
• buckling of the steel part of the hold-down
between nails and bolt (FRd,metal,x)
• shear failure of nails, attached to the CLT floor
panel (FRd,lower,x)
• ovalisation of the hole of a bolt in the angle bracket
due to embedment of the bolt in steel (FRd,lower,x)
• tear out or block shear of the steel part of the angle
bracket (FRd,lower,x)
In the case of axial loading of metal connectors
there are also several possible failure mechanisms:
• shear failure of nails, attached to the CLT wall
panel (FRd,upper,y)
• block shear or tension failure of CLT wall panel
(FRd,upper,y)
• fracture in tension of the metal connectors in the
net section of the steel part (FRd,metal,y)
• yielding of the steel part of the connector around
the anchoring bolt (with possible pull-through)
(FRd,lower,y)
• tension failure of the anchoring bolt (FRd,lower,y)
• withdrawal of the anchoring bolt (FRd,lower,y)
• withdrawal of nails or screws from the floor panel
(FRd,lower,y)
In the cases where the shear capacity of the nailed
connection of the hold-downs with the CLT wall
panel does not exceed the strength capacities of the
steel net section, of the anchor bolt and of the other
possible failure modes discussed before, the total load
carrying capacity of the connection is the sum of the
resistances of all fasteners connecting the metal
connector to the CLT wall. Otherwise, some of the
aforementioned failure modes, which are undesirable
in the seismic design of timber buildings being brittle,
may occur. To achieve the desired ductile behaviour
of metal connectors loaded in axial and shear
directions, namely the plasticization of the nailed
connection with the CLT wall panel, capacity-based
design principles have to be followed [21].
To predict the shear and axial strength capacity of
CLT connectors is therefore necessary to derive
formulas for the resistance of fasteners such as screws,
nails and other dowel-type fasteners in CLT, taking
into account the nature of lamination, lay-up, wood
species, edge-gluing, and possible presence of grooves
sawn into the boards to relieve drying stresses.
Eurocode 5 formulas for the prediction of the shear
and withdrawal capacities of timber connections were
derived for sawn timber and engineered wood pro-
ducts different from CLT, and therefore their validity
for CLT must be checked.
Materials and Structures
Extensive research for the determination of embed-
ment strength capacity and withdrawal strength
capacity of dowel-type fasteners was conducted by
Uibel and Blaß [28, 29]. The proposed design
procedures deal only with ductile failure modes to
determine the lateral load resistance of such connec-
tions. Empirical models were developed based on test
results to establish the strength capacity of dowel-type
fasteners under lateral loading. For dowel-type
fasteners driven perpendicular to the plane of the
CLT panel loaded in shear Uibel and Blaß derived
formulas for the characteristic embedment strength fh,k
(in N/mm2) of 4 mm diameter nails and screws up to
12 mm diameter in CLT panels with laminations less
than 7 mm thick. The formula is expressed as a
function of the characteristic density of the wood qk
(in kg/m3) and the diameter of the fastener d (in mm),
as shown in Eq. (5):
fh;k ¼ 0:112d�0:5q1:05k ðN=mm2Þ: ð5Þ
The proposed characteristic embedment strength
equation is independent of the loading direction with
respect to the grain orientation of the layers. Once the
characteristic embedment strength fh,k is calculated, it
can be used in Johansen equations for load carrying
capacity of fasteners in [9]. It should be noted that the
common thickness of currently used laminations can
be up to 40 mm, which is greater than the lamination
thickness of the CLT tested by Uibel and Blass. The
validity of Eq. (5) must therefore be checked against
experimental tests carried out on CLT panels with
different lamination thickness. Verifications of char-
acteristic strength capacities of steel parts of the
connectors will be performed using the Eurocode 3
(EC3) formulas [8].
4.2 Stiffness of typical CLT metal connectors
In seismic design of timber structures, information on
stiffness of connections is crucial for predicting the
properties of the structures in terms of dynamic
behaviour. Numerous experimental, analytical and
numerical studies [3, 6, 16–20] concluded that
connections in CLT construction strongly influence
the deformability properties of CLT buildings. In the
existing European timber design codes [9] no provi-
sions for prediction of CLT connections’ elastic
stiffness are currently available. Thus, there is an
obvious need for analytical formulations of CLT
connectors.
The elastic stiffness of CLT metal connectors (kel,i)
in shear and axial directions (kel,x and kel,y, respec-
tively) can be calculated by taking into account
various deformability components: (i) the elastic
stiffness of nails by summing the elastic stiffness of
all n nails in the connector (n 9 kn) using EC5 (2004)
empirical formulae; (ii) the elastic stiffness of steel
plate of the connector ks; and (iii) the elastic stiffness
of the connection with the foundation or floor panel ka
(for example, the bolted or nailed connection). In the
case of steel-timber connections loaded in axial
direction, the deformability of the CLT panel perpen-
dicular to grain also has to be taken into account. The
elastic stiffness of CLT metal connectors in shear and
axial directions can be calculated by modelling the
connector as series of springs:
kel;i ¼1
n� kn
þ 1
ks
þ 1
ka
� ��1
: ð6Þ
4.3 Experimental-analytical comparison
Material and geometrical properties of the hold-downs
and angle brackets used in the tests were obtained from
European Technical Approval documents (ETA-11/
086 [14] for hold-downs, and ETA-09/323 [13] for
angle brackets). The properties of nails, used to
connect the metal connectors to CLT panels, were
obtained from the producer’s catalogue [24]. The
characteristic and mean wood densities were deter-
mined from 230 CLT specimens used in the experi-
mental tests following EN 384 [7]. A minimum 5th
percentile density q0.05 = 364 kg/m3 and mean den-
sity qm = 450 kg/m3 were obtained [18].
In shear direction, the strength and stiffness of hold-
downs is relatively weak (see Sect. 3.1), thus their
contribution to the strength and stiffness of CLT wall
systems and buildings is minor. For that reason,
establishing load-carrying capacity design methods
for hold-downs in shear direction is irrelevant. On the
other hand, the contribution of angle brackets to the
lateral resistance of CLT wall systems in their weaker
axial direction is significant (Sect. 3.2), thus their
analytical characteristic axial strength will be deter-
mined. Stiffness values will be calculated for hold-
downs in tension and angle brackets in shear as in the
Materials and Structures
weaker directions undesired failure modes occurred
(local buckling in hold-downs loaded in shear and
brittle nail withdrawal failures in angle brackets
loaded in tension).
In terms of strength capacities, the analytical
characteristic values of CLT metal connectors using
the formulas in EC5 and by Uibel and Blaß [28] will be
compared to the experimental 5th percentile strength
values obtained in the experimental tests. On the other
hand, the mean experimental elastic stiffness values
will be compared to the analytical stiffness predictions
at serviceability limit state, see EC5 (2004).
Tests #1 and #2 (hold-downs loaded in tension) had
a typical failure due to yielding of nails (failure mode
‘‘c’’ according to EC5). The estimated load-carrying
capacity is quite conservative in comparison with the
experimental 5th percentile values, namely 2.6 times
lower using the EC5 equations and 2.2 times lower
using Uibel and Blaß’ procedure (Table 4). Tests #5
and #6 (angle brackets loaded in tension) failed in a
brittle way. In Test #5, all test specimens failed due to
pull-through of the bolt (bolt punching), while all
specimens in Test #6 failed due to withdrawal of nails
anchoring the angle brackets to the floor panel. The
analytical predictions of failure modes correspond
well with the experimental failure modes (Table 4),
but the predicted values are very conservative
(Fig. 13). On the other hand, failures in the brackets
in shear direction (Test #7 and Test #8) occurred in the
nailed connection, which is considered as a ductile
failure mode. The calculated strengths for tests #5 to
#8 are also conservative (F0.05,exp/FRk ratios range
from 1.3 to 2.8). Uibel and Blaß’ embedment formulas
are more accurate than Eurocode 5 [9] formulas,
leading to about 18 % increase in strength.
Analytical predictions of the elastic stiffness of
CLT metal connectors indicate that most of the
deformation is due to nails deformations, namely
72–76 % in the case of hold-downs in tension and
90 % and more in the case of angle brackets loaded in
shear (Table 5). Note that the total deformation of
nails in the case of Test #8 is considered as the sum of
the deformation of the upper (bracket-CLT wall) and
lower (bracket-CLT floor) parts altogether. The stiff-
ness in the case of Test #2 (CLT wall-CLT floor) is
significantly lower than in Test #1 (CLT wall-steel
foundation). The contributions of individual stiffness
components to the total stiffness of the connection are
inversely proportional to their stiffness values (see
Eq. 6). As opposed to the analytical strength predic-
tions, which proved to be conservative in all cases, the
analytical predictions of elastic stiffness of CLT metal
connectors are in all cases significantly overestimated.
Table 4 Analytical characteristic strength capacities of CLT metal connectors with predicted failure modes compared to the
experimental 5th percentile values (in brackets: values obtained using the Uibel and Blaß’ formulas)
Characteristic strength
capacity
Test #1 Test #2 Test #5 Test #6 Test #7 Test #8
FRk,metal (kN) 59.5 59.5 81.1 70.5 34.6 32.6
FRk,upper (kN) 16.2 (19.1) 12.2 (14.3) 14.9 (17.5) 10.8 (12.7) 14.9 (17.5) 10.8 (12.7)
FRk,lower (kN) 72.4 72.4 7.6 5.8 19.8 10.8 (12.7)
F0.05,exp (kN) 42.4 31.6 21.2 10.5 24.9 16.8
F0.05,exp/FRk 2.6 (2.2) 2.6 (2.2) 2.8 1.8 1.7 (1.4) 1.6 (1.3)
Failure mode Nails in shear Nails in shear Bolt punching Nails
withdrawal
Nails in shear Nails in shear
Fig. 13 Experimental results of tension and shear tests on CLT
metal connectors compared to the analytical predictions of their
shear and axial characteristic strength capacities
Materials and Structures
The ratios of the analytical predictions to the exper-
imental values (kel,i/km,exp) range from 3.9 to 9.1
(Table 5).
This means that a very high percentage of the
connection total deformation comes from different
components. The eccentricity between the bolted
connection to the foundation and the connection to
the wall panel is a significant source of additional
flexibility, as the hold-down is subjected to bending in
the metal plate between the bottom of the nailed
connection and the top of the stiffening plates
(Fig. 14) where the resisting cross-section is very
weak, and local buckling occurs even during the
loading in the elastic range. In addition, local defor-
mations of the steel part between the anchorage bolt
and the vertical flange may also contribute to the total
deformation (Fig. 14 middle).
In the case of angle brackets loaded in shear,
flexural deformations and rotational displacements of
the metal part due to eccentric loads in two directions
are quite significant [27]. Thus, taking into account
only nails’ deformations, axial deformation of the steel
Table 5 Analytical elastic stiffness of CLT metal connectors compared to the mean experimental stiffness values
Stiffness capacity Test #1 Test #2 Test #7 Test #8
(kN/mm) (% kel,i) (kN/mm) (% kel,i) (kN/mm) (% kel,i) (kN/mm) (% kel,i)
Nails: n 9 kn 23.2 76.1 17.4 72.1 21.2 89.5 15.4 49.3
Steel plate: ks 81.0 21.8 87.2 14.4 228.1 8.3 560.0 1.4
Anchorage: ka 844.5 2.1 92.8 13.5 844.6 2.2 15.4 49.3
Total stiffness: kel,i 17.6 100 12.5 100 19.0 100 7.6 100
Experimental: km,exp 4.5 – 2.65 – 2.09 – 1.10 –
Ratio kel,i/km,exp: 3.9 4.7 9.1 6.9
Fig. 14 Examples of local bending in the metal plate of hold-downs loaded in tension
Materials and Structures
plate, and anchorage deformation is not enough for a
conservative estimation of the elastic stiffness.
Strength and stiffness predictions of CLT metal
connectors correspond well with the conclusions of
Acler et al. [1] and Tomasi and Sartori [27]. In their
experimental-analytical research on metal connectors,
they found that the use of the EC5 formulas for the
strength capacity and stiffness of nailed CLT wall-
hold-down and CLT wall-angle bracket connections
leads to conservative results for the strength and non-
conservative results for the stiffness values. In
conclusion, experimental values of hold-down and
angle brackets should be used in seismic analyses.
4.4 Provisions to improve the CLT connector
behaviour
Non-optimal stiffness performance of hold-downs and
angle brackets suggests that some adjustments should
be made in the design of CLT metal connectors. In
addition, if capacity based design principles had been
taken into account [21], ductile failure modes could
have been attained in all cases. Some proposals for a
better mechanical performance of metal connectors
(hold-downs and angle brackets) are listed herein:
• use screws with larger diameters in the lower part
of the angle brackets in wall to floor connections
instead of using slender nails (due to the higher
withdrawal capacity of screws) so as to avoid
brittle failure for nails’ withdrawal;
• re-design the angle bracket using larger sections
(increased thicknesses) to avoid plasticization of
the metal part;
• provide better detailing to achieve higher moment
capacity so as to prevent local buckling and
excessive deformation of the metal connector
(for example, extend the stiffening plates of
hold-downs to reduce bending deflection due to
eccentricity);
• choose a number and diameter of holes for
fasteners to ensure brittle failure for fracture in
tension of the metal connection will always follow
the failure of the nailed connection between the
metal connector and the CLT panel;
• use slender nails or screws to ensure plasticization
of the fastener and achieve the ductile connection
between the steel connector and the CLT wall
panel;
• use longer nails for a better ductility performance
of CLT wall panels and decrease the risk of brittle
shear plug failure.
5 Conclusions
An experimental testing programme on cyclic behav-
iour of typical CLT metal connectors such as hold-
downs and angle brackets (wall-foundation and wall-
floor connections) was conducted with the aim to
better understand their performance when subjected to
seismic actions. Hold-downs exhibited relatively high
strength and stiffness capacity in their primary (ten-
sion) direction, while in shear direction due to
buckling of their metal part, they did not reach either
high strength or significant stiffness values. On the
other hand, angle brackets proved to have significant
strength and stiffness capacity in both directions.
Thus, their axial stiffness and strength should not be
neglected in the assessment of CLT walls resistance
due to overturning moments caused by horizontal
forces. In some cases undesired brittle failure modes
were detected. To attain ductile failure modes, capac-
ity based design principles should be taken into
account.
All important design quantities of connections such
as stiffness, strength, impairment of strength, ductility,
overstrength, and equivalent damping ratios were
calculated according to the EN 12512 procedure. This
information is important in the assessment of the
seismic performance of CLT buildings, as most of the
forces and energy dissipation due to seismic excitation
are concentrated in the connections between CLT
panels and with the foundation. Experimental results
also serve for calibration of advanced component FE
models for non-linear static and dynamic analyses of
CLT walls and buildings. In addition, overstrength
factors were determined, which are important missing
information in current seismic design codes (Eurocode
8). A conservative proposal would be to use an
overstrength factor of 1.3 for hold-downs and
1.25–1.45 for angle brackets, depending on the type
of the connection (panel-foundation or panel–panel).
A comparison of the experimental results with
analytical equations proved that the design models
provide conservative estimations of the characteristic
strength values of CLT connections. Comparisons
Materials and Structures
among analytical procedures showed that the Uibel
and Blaß’ method provides slightly more accurate
predictions than the existing embedding formulas in
Eurocode 5. Analytical models for CLT metal con-
nectors stiffness prediction, which take into account
contribution of nail deformation, steel plate elongation
and anchorage deformation, significantly overesti-
mates the experimental stiffness values. Suggestions
for a better mechanical performance of metal connec-
tors in terms of strength and stiffness performance are
also given based on the experimental and analytical
study.
Acknowledgments The authors would like to acknowledge
the contribution to this research of IVALSA laboratory staff
Mario Pinna, Diego Magnago and Paolo Dellantonio, who
provided technical expertise for the experimental testing.
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