shear strength of concrete filled glass fiber reinforced gypsum walls
TRANSCRIPT
ORIGINAL ARTICLE
Shear strength of concrete filled glass fiber reinforcedgypsum walls
Kang Liu Æ Yu-Fei Wu Æ Xin-Liang Jiang
Received: 26 January 2007 / Accepted: 21 May 2007 / Published online: 20 July 2007
� RILEM 2007
Abstract Glass fiber reinforced gypsum (GFRG)
walls, known as a green product that helps to save
energy and protect the environment, are promising
new building materials developed in Australia in the
early 1990s. Driven by the wide-spread interest from
the construction industry and the research commu-
nity, substantial research has been carried out in
Australia and a few Asian countries such as China,
Malaysia and India to investigate its performance,
including the structural behavior for building con-
struction. This paper investigates the shear strength of
GFRG walls fully or partially filled with concrete in
the hollow cores. Eight full scale GFRG walls were
tested under cyclic loadings. The shear performance
of the tested walls, including the shear failure mode,
hysteresis responses, the ultimate shear strength and
the axial load effect, were studied in the paper. With
the aid of nonlinear finite element analyses, a design
procedure for the shear strength of the concrete filled
GFRG walls is developed.
Keywords GFRG � Wall � Shear strength � Axial
load effect � Tests
1 Introduction
Known as Rapidwall in the building industry, glass
fiber reinforced gypsum (GFRG) walls are new
building materials developed in Australia in the early
1990s. GFRG walls are machine-made panels with
hollow cores and are made of modified gypsum
plaster and reinforced with cut glass fibers. A typical
cross-section of a standard panel is shown in Fig. 1.
During the manufacturing process, glass fibers of
about 300–350 mm in length are randomly distributed
inside the panel skins and in the ribs. The fiber
volume in the panel is 0.8 kg per square meter of wall
surface area. The physical properties of the current
standard GFRG panels are listed in Table 1.
In building construction, the standard large panels
are cut in the factory into building components that
may have window and door openings. These compo-
nents are then transported to the construction site and
erected in a similar way to the construction of precast
concrete panels. The cavities (hollow cores) inside the
panel can be filled with various materials, such as
concrete or insulation materials, to serve different
purposes, such as to increase the strength or improve
the thermal and sound insulation of the walls. In a
Rapidwall building, most or all the building compo-
nents are constructed with GFRG panels. Therefore,
the GFRG walls serve as both architectural partitions
and structural walls. More details of the GFRG panels
and the structural system of Rapidwall buildings can be
found in the work of Wu [1] and Wu and Dare [2, 3].
K. Liu � Y.-F. Wu (&)
Department of Building and Construction, City University
of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong
e-mail: [email protected]
X.-L. Jiang
Department of Civil Engineering, Tianjin University,
Tianjin, China
Materials and Structures (2008) 41:649–662
DOI 10.1617/s11527-007-9271-8
Research works have shown that GFRG building
assemblies have a much smaller embodied energy
(EE) coefficient and CO2 gas emission (from the
manufacturing of panels to the completion of build-
ing construction) compared with other traditional
building construction with bricks, reinforced concrete
and precast concrete panels [4]. Therefore, GFRG
panels are considered as a green product that helps to
save energy and protect the environment.
Since concrete can be placed into the hollow cores
of the GFRG panels, these composite walls can be
very strong and have significant axial and shear
strength, and are therefore suitable for use with multi-
story buildings. In the Australian construction
practice, all or most of the hollow cores are filled
with concrete. Significant investigations have been
undertaken to study the behaviors of the fully filled
GFRG walls under both axial and shear loads [5–7].
Design guidelines are available for the design of
these fully filled GFRP walls [5].
However, filling all the hollow cores with concrete
may not be necessary especially for walls in low-rise
buildings, or for upper storey walls in high-rise
buildings. To save construction cost, Chinese builders
recommended filling as few of the cores in the GFRG
walls with concrete as possible. The percentage of
cores to be filled with concrete depends on the
loading conditions of the wall. In order to understand
the structural performance of the partially filled
GFRG walls, significant and large scale experimental
Fig. 1 Standard details of
GFRG panel
Table 1 Physical
properties of GFRG panelsProperty name Value Note
Unit weight 40 kg/m2
Thermal expansion
coefficient
12 · 10–6 mm/mm/8C
Water absorption <5% By weight after 24 h immersion
Thermal resistance 0.36 m2 K/W Unfilled panel
1.63 m2 K/W With 35 kg/m3 and R2.5 rockwool
batts infill and standard texture finishing
Sound transmission
coefficient (STC)
28 Unfilled panel
45 Concrete filled panel
Fire resistance level (FRL) >3 h For structural adequacy
650 Materials and Structures (2008) 41:649–662
investigations were undertaken at Tianjin University,
PRC [6]. The experimental work reported in this
paper was part of that experimental program.
This work reports the experimental investigation
of the shear strength of fully and partially filled
GFRG walls. Particular attention is paid to the effect
of axial load on the shear strength of these walls, and
the mechanism of the axial load effect. Interesting
conclusions are drawn from this study, which may
also be applicable to other kinds of structural walls.
2 Test specimens
Due to the composite nature of concrete filled GFRG
walls and the additional composite action between
the concrete infill cores and the GFRG wall panel, the
structural behavior of these walls is extremely
complicated. Experimental testing is the best way to
investigate the problem. In this investigation, eight
GFRG wall specimens were constructed for testing.
Details of the test specimens are given in Table 2 and
Fig. 2. All the specimens were 2.75 m high with
different widths.
These specimens were divided into four different
batches. The first batch was 1,520 mm wide panels
with all cores filled with concrete. The second batch
was 1,270 mm wide panels with every other core
filled with concrete. The third batch was 1,770 mm
wide panels with every third core filled with concrete.
The fourth batch was 2,270 mm wide with every
fourth core filled with concrete.
The GFRG panels for the test specimens were cut
from randomly selected sample panels. A reinforced
concrete beam of 250 mm wide and 500 mm high
was used as a fixed base under each test specimen,
and was cast monolithically with the infill concrete of
a test panel. Each specimen had also a reinforced
concrete beam, 120 mm wide and 240 mm high at its
top to represent the wall-to-floor connection. In the
construction of a wall specimen, the GFRG panel was
erected vertically on top of the bottom beam form,
and self-compacting concrete was filled into the
hollow cores from the top of the wall; a procedure
that is identical to the practice in the construction
industry. Concrete cubes were made for each batch of
wall specimens and were tested at the same time as
the specimens to identify the concrete strength. The
concrete strengths and the elastic modulus for the
specimens are given in Table 2.
Table 2 Details of the test
specimenBatches Specimen
No.
Dimensions
b · h (mm)
Concrete elastic
modulus (MPa)
Concrete compressive
strength (MPa)
Vertical load
(kN/m)
B1 S1 1520 · 2750 3.33 · 104 32.42 184
S2 1520 · 2750 3.33 · 104 32.42 312
B2 S3 1270 · 2750 3.33 · 104 32.42 112
S4 1270 · 2750 3.39 · 104 43.78 172
B3 S5 1770 · 2750 3.33 · 104 32.42 53
S6 1770 · 2750 3.39 · 104 43.78 110
B4 S7 2270 · 2750 3.33 · 104 32.42 49
S8 2270 · 2750 3.39 · 104 43.78 104
(a)
(c)
(d)
(b)
Fig. 2 Shear test specimens. (a) B1, (b) B2, (c) B3, (d) B4
Materials and Structures (2008) 41:649–662 651
A 16 mm diameter high-yield strength steel
reinforcing bar was inserted into the centre of each
concrete filled core, which was bent into the top and
bottom beams. The material properties of the rein-
forcement are given in Table 3.
3 Test setup and instrumentation
All specimens were tested under cyclic lateral load
and a fixed axial load. The test setup is shown in
Fig. 3. The vertical loading system consisted of five
main parts: two test frames, two reaction steel beams
perpendicular to each other, six hydraulic jacks, one
spreader steel beam and a few rollers. To simulate the
real loading condition, the vertical load was applied
on the test panels before the lateral force, through six
hydraulic jacks that were fixed on the reaction steel
beam. The displacement of these hydraulic jacks was
maintained during the tests which prevented the free
rotation of the test panel at the top. Under the
spreader steel beam, steel rollers were used to reduce
the friction between the spreader steel beam and the
top RC beam of the test panel.
The lateral loading system comprised five main
parts: the reaction wall, one pulling and pushing
hydraulic jack, four tensile steel bars bolted to two
end steel plates, two steel beams to prevent the
rotation of the bottom RC beam of the test panel, and
other two steel beams to prevent the lateral displace-
ment of the bottom RC beam.
The lateral force and the vertical load were
measured by Load Cell 1 and Load Cell 2 respec-
tively. The horizontal displacement was measured by
linear variable differential transformers LVDT1, 2
and 3, as shown in Fig. 3. LVDT1 was used to
measure the top lateral displacement of the test panel.
LVDT2 and 3 were used to measure the base
displacement. Both an automatic data acquisition
system and manual recordings were adopted to record
the test results.
The most important feature of this setup was that
the vertical loading system prevented the test spec-
imens from end rotations. Specimens were forced to
deform in a shear-dominant way, which ensured a
shear failure mode instead of a flexural failure mode.
Table 3 Material properties
Materials E (MPa) fc (MPa) ft (MPa) fy (MPa)
Concrete 3.33 · 104 32.42 3.05 –
GFRG 1.14 · 103 5.00 1.00 –
Reinforcement 2.06 · 105 – – 402
Front view Side view
Fig. 3 Test setup
652 Materials and Structures (2008) 41:649–662
4 Test procedure and loading history
According to Specification of Testing Methods for
Earthquake Resistant Building (JGJ101–96) [8], the
testing was conducted under a force-displacement
mixed control mode, as shown in Fig. 4. The force
and displacement cycles were achieved simply by
pushing and pulling the hydraulic jack. All the
responses, including loads, displacements and strains,
were automatically recorded by the automatic data
acquisition system. The loads and displacements
were also manually recorded at the peak points of
each cycle. After recording the data at each displace-
ment increment, the test panel was visually inspected,
and all cracks were marked. When all the information
had been obtained for a force or displacement step, a
new force or displacement increment was applied to
the test panel, and so on.
5 Observation and test results
All eight specimens went through a similar failure
process. First, a weak cracking sound was heard when
the shear resistance was about 50–60% of the peak
strength. The first batch of visible diagonal shear
cracks was then observed. The reversal of load
produced diagonal cracks that were symmetrical to
the cracks that had already occurred. The cracks in
both directions formed a cracking pattern like a net,
as shown in Fig. 5. Diagonal shear cracking devel-
oped gradually with increasing lateral load. Extensive
diagonal cracks occurred before the peak load was
reached. The test panels reached the peak load when
a visible longitudinal shear crack developed in the
panel, as shown in Fig. 6. After the development of
the first longitudinal crack, the shear resistance
started to drop, and other longitudinal cracks formed
one by one when the lateral displacement further
increased. All these longitudinal cracks were formed
near the ribs of the test panels. This indicated that the
friction between the infill concrete cores and the
GFRG panel was overcome and relative slip between
them took place. This resulted in the over-stressing
and longitudinal tearing off of the two 13 mm thick
panel skins. The trace of the relative slip at the
interface was clearly seen when the concrete cores
were exposed after the tests [2].
The above observation indicated that the shear
failure mode of the concrete filled GFRG panels was
very different from that of the conventional rein-
forced concrete walls. The typical shear failure
modes of reinforced concrete shear walls are diagonal
tension failure, diagonal compression failure and
shear sliding failure [9]. However, due to the relative
weak nature of the two skins of the GFRG panels
compared to the concrete cores and the ribs of the
panel, the only possible shear failure mode in the
body of the walls was the longitudinal interface shear
failure (or interface shear slipping failure), although
diagonal shear cracking was developed to a large
extent before a interface shear failure occurred. This
observation was identical to that of the previous tests
[2].
The hysteresis responses of the eight specimens
are given in Fig. 7. It can be seen from the response
curves that the shear responses of these walls are
more ductile than that of the conventional RC walls.
This is caused by the glass fibers inside the panel that
prevented the brittle tensile failure of the materials,
and the unique longitudinal shear failure mode that
poses a more ductile nature.
6 Development of shear strength model
It was concluded in Reference [2] that the shear
strength of concrete filled GFRG walls is proportional
to their length. Therefore, the shear strength of a
concrete filled GFRG wall is simply equal to the unit
shear strength, which was derived from experimental
tests, multiplied by the length of the wall. However,
the previous works and the corresponding design
guidelines were only applicable to fully filled GFRG
walls and without the top and bottom RC beams. TheFig. 4 Loading history
Materials and Structures (2008) 41:649–662 653
top and bottom RC beams form a RC frame with the
internal concrete cores. As a result, the lateral or
shear resistance of the walls with the top and bottom
beams must be greater than that derived from the
previous works.
To calculate the shear strength, the envelope
curves of the positive part of the hysteresis responses
are produced and provided in Fig. 8. The peak
resistances of the specimens are the strengths of the
walls that are summarized in Table 4. These strength
values are used as the bases for deriving shear
strength model. The bending resistances in the table
are calculated from the internal RC frame that
consists of the top and the bottom RC beams and
the internal RC cores. Figure 9 shows a typical
response curve of the internal RC frame without the
presence of a GFRG panel. This response curve is
calculated by non-linear finite element analysis as
described in the following section. Alternatively, the
resistance of the internal RC frame can also be
calculated using the conventional RC theory.
The lateral resistance of the concrete filled GFRG
walls comes from two different actions: (1) the shear
resistance of the GFRG panel and (2) the lateral
Fig. 5 Cracking patterns.
(a) S1, (b) S2, (c) S3, (d)
S4, (e) S5, (f) S6, (g) S7, (h)
S8
654 Materials and Structures (2008) 41:649–662
resistance of the internal RC frame due to the bending
of the internal reinforced concrete cores. The super-
position law applies in this case. In other words, the
total shear strength of the wall equals to the shear
resistance of the GFRG panel plus the lateral
resistance of the internal RC frame. This is because
the peak lateral resistance of the internal RC frame
occurs at or near the peak of the total shear strength
of the wall, due to the ductile longitudinal shear
failure mode. This concurrence has been observed in
all the eight test walls.
Taking away the frame bending strength from the
peak strength in Table 4 gives the net panel shear
strengths of the walls as given in column 5 of
Table 4. It can be seen in the table that the net panel
shear strength is proportional to the length of the
wall. Therefore, the unit shear strengths that are the
panel shear strengths divided by the length of the wall
are essentially a constant for all the walls. This
conclusion is identical to that of the previous work by
Wu and Dare [2], although the previous tests did not
include the internal RC frames. The unit shear
strength derived in this work (see Table 4) is slightly
larger than that derived from the previous work [2].
This is because the GFRG panels used in this work
were made from the new production line that used a
more advanced technology for fiber distribution.
Therefore, the strength of panel used in this work
was greater than that used in the previous work.
Based on the above study, the design procedure for
the shear strength of concrete filled GFRG walls with
top and bottom RC beams is proposed as follows: (1)
calculating the lateral resistance of the internal RC
frame without GFRG panel by the conventional RC
theory (2) calculating the shear strength of the panel
by multiplying the unit shear strength with the length
of the wall and (3) adding the results of (1) and (2) to
give the total lateral resistance of the wall.
7 Axial load effect
The test results (shown in Table 4) indicated that
unlike reinforced concrete shear wall, vertical loads
have no significant effect on the shear strength of
concrete filled GFRG walls. This contradicts the
conventional RC theory. It also differs from the
results of the previous shear tests of fully filled GFRG
walls conducted by Wu and Dare [2], where it was
concluded that the axial load increases the shear
strength of the walls. This unusual phenomenon on
axial load effect not only puzzled the investigators
but also caused serious concern on the consistency of
these test results. In order to better understand the
structural behaviors of concrete filled GFRG walls,
finite element analyses are carried out that are
described in the following section.
7.1 Finite element modeling
The cross-section of GFRG walls is complex, see
Fig. 1. As mentioned in the test part, the bond
interfaces between the concrete cores and the ribs of
the GFRG panel are relatively weak. This weakness
is one of the most important characteristics that
govern the response and failure mode of these walls.
Therefore, relative movements or slips between them
must be adequately modeled. As a result, three
dimensional nonlinear modeling of the concrete filled
GFRG walls is extremely complicated and difficult.
Trial run of the 3D model resulted in non-conver-
gence of the solution. Therefore, 2D modeling is
adopted in this work. The 2D FEM model is shown in
Fig. 10. This 2D model not only greatly simplifies the
problem but also captures the essential feature of the
Fig. 6 Longitudinal cracks
Materials and Structures (2008) 41:649–662 655
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Fig. 7 Hysteresis responses. (a) S1, (b) S2, (c) S3, (d) S4, (e) S5, (f) S6, (g) S7, (h) S8
656 Materials and Structures (2008) 41:649–662
problem: allowing slips at the interfaces between the
concrete cores and the gypsum panel. The eight-node
2D plane-stress elements are used to model the
concrete and the GFRG panel. The reinforcement
bars are embedded in the concrete elements, and the
so called embedded reinforcement element is em-
ployed in the model, which means perfect bonding
between the reinforcement and the surrounding
concrete. The top and bottom RC beams are much
stiffer and stronger than the wall itself. Therefore,
these beams are simply modeled with elastic plain
concrete elements.
Ideally, the interfaces should be modeled as
contact elements. Unfortunately, adding contact ele-
ments to the 2D model results in very poor conver-
gence of the analyses, and practically no complete
response curve can be obtained. Therefore, an
alternative method is used in this work to model the
interface: adding a thin layer of interface elements
between the concrete core and the rib of the GFRG
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Fig. 8 Envelope curves. (a) S1 & S2, (b) S3 & S4, (c) S5 & S6, (d) S7 & S8
Table 4 Strength of
specimensBatches Specimen
No.
Peak
strength
(kN)
Frame bending
strength (kN)
Panel shear
strength (kN)
Unit shear
strength (kN/
m)
Vertical
loading (kN/
m)
B1 S1 157 67.86 89.14 58.64 184
S2 147 69.68 77.32 50.90 312
B2 S3 110 33.66 76.34 60.11 112
S4 112 34.69 77.31 60.87 172
B3 S5 145 31.89 113.11 63.90 53
S6 143 33.36 109.64 61.94 110
B4 S7 173 32.65 140.35 61.83 49
S8 167 33.88 133.12 58.64 104
Materials and Structures (2008) 41:649–662 657
panel. A nonlinear relation of the shear stress vs.
shear slip was used in modeling the interface
elements, as shown in Fig. 11. This interface layers
can adequately model the frictional slips at the
interfaces and also solve the problem of non-conver-
gence.
7.2 FEM analyses
To compare to the test results, specimens S1 and S2
are analyzed using the finite element program
ANSYS. The material properties of concrete, i.e.
the compressive strength fc and the elastic modulus E,
were obtained from the compression tests of concrete
cubes. The tensile strength ft is calculated from the
compressive strength fc according to CEB-FIP Model
Code [10], or
ft ¼ 0:3ðfcÞ2=3 ð1Þ
The three material properties of the GFRG panel, i.e.
the compressive strength fc, the tensile strength ft and
the elastic modulus E, are determined from Reference
[5]. The elastic-perfectly-plastic model is used for the
reinforcement bars and the yield strength was deter-
mined from tensile tests of reinforcement bars. It is
found in the FEM analyses that the reinforcement
does not have significant effect on the results. The
material properties of concrete, reinforcing bar and
the GFRG panel used in this finite element analysis
are summarized in Table 3.
The force-displacement curves from the FEM
analyses for specimens S1 and S2 are compared with
the test envelope curves in Fig. 12(a) and (b),
respectively. These comparisons indicate that both
the peak strength and the variation of stiffness of the
walls are well captured and matched with the test
results, which validates the FEM model. This FEM
model is then used to study the effect of the axial load
on the shear strength of GFRG walls in the next
section.
7.3 Effect of interface roughness
In order to find the reason that caused the contradic-
tory results of this work compared with that of the
previous work of Wu and Dare [2], various factors
that may affect the shear strength of the walls are
analyzed with the above FEM model. The material
properties of concrete and steel bar, which might be
different between the two investigations, are found to
have little effect on the shear strength of the walls.
The material properties of the GFRG panel are found
to have more effect on the results. However, within
the possible range of variation of the properties of the
GFRG panel, it is not likely to cause a great
difference. There were also differences in the details
of test specimens and the test setup. However, it is
believed that those differences are not the key factor
that causes the problem. Now the only remaining
factor is the interface properties. The response curves
of wall S1 with an axial load of 184 kN/m and two
different interface properties are shown in Fig. 13. It
can be clearly seen from the figure that it is the
interface properties that cause the difference in the
shear strength.
Figure 14 further gives the FEM results of wall S1
with a small interfacial friction under different axial
loads. Figure 15 shows the results of the same wall
and the same axial loads but with a greater interfacial
friction. It is clear from these two figures that the
axial load has no effect on the shear strength of
concrete filled GFRG walls when the interfaces are
smooth, and the axial load effect exists for walls with
rough interfaces.
7.4 Mechanism of axial load effect
The axial load effect can be explained physically.
According to Priestley et al. [11], the axial load effect
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rce
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)
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Fig. 9 Typical response curve of the internal RC frame
658 Materials and Structures (2008) 41:649–662
on a conventional concrete shear wall can be
explained using a strut model, as shown in Fig. 16.
The strut angle a, in Priestley et al.’s model, is
affected by the depth of the compression zone. The
additional shear strength due to the axial load can be
expressed as
DF ¼ tan a� DN ð2Þ
However, the strut cannot be formed if a concrete
wall is cut into several longitudinal strips and the
contact surfaces between these strips are smooth. The
concrete inside a GFRG wall is divided into longi-
tudinal strips by the ribs of the panel. The bond and
friction between the gypsum panel and the concrete
Fig. 10 Finite element model
Fig. 11 Shear slip–stress relation of interface elements
Materials and Structures (2008) 41:649–662 659
cores provide certain longitudinal shear force to form
the diagonal strut. It must be the difference of the
interfacial bond properties between the walls in this
work and that in the previous work that caused the
difference of the test results, and this is evident in
Fig. 17. Exposure of the concrete cores from the wall
specimens tested in the previous work [2] found that
the interfaces were rough, see Fig. 17(a). However,
the interfaces were found to be much smoother for
the walls tested in this work, as shown in Fig. 17(b).
Information provided by the manufacturer shows that
the GFRG panels for the previous work were
manufactured using the old technology in the old
(a)
0 10 20 30 40 50 60 70 80
0
50
100
150
2000 10 20 30 40 50 60 70 80
0
50
100
150
200
e (k
N)
cro
F
Displacement (mm)
Analysis Test
(b)
0 10 20 30 40 50 60 70 80
0
50
100
150
2000 10 20 30 40 50 60 70 80
0
50
100
150
200
e (k
N)
cro
F
Displacement (mm)
Analysis Test
Fig. 12 Comparison of response curves between FEM and test
results. (a) specimen S1, (b) specimen S2
0 10 20 30 40 50 600
50
100
150
200
2500 10 20 30 40 50 60
0
50
100
150
200
250
e (k
N)
cro
F
Displacement (mm)
Large friction Small friction
Fig. 13 Response curves of wall S1 with different interface
properties
0 10 20 30 40 50 60 70 80
0
50
100
150
2000 10 20 30 40 50 60 70 80
0
50
100
150
200
Vertical load=184kN Vertical load=312kN
e (k
N)
cro
F
Displacement (mm)
Fig. 14 Comparison of response curves of wall S1 with little
interfacial friction
0 4 8 12 16 200
50
100
150
200
2500 4 8 12 16 20
0
50
100
150
200
250e
(kN
)cr
oF
Displacement (mm)
Vertical load = 312 kN/mVertical load = 184 kN/m
Fig. 15 Comparison of response curves of wall S1 with a
greater interfacial friction
660 Materials and Structures (2008) 41:649–662
production line in Adelaide, Australia. The wall
panels used in this work were produced with a new
technology in the new production line at Jinan,
China.
The above analyses explained the importance of
the interfacial roughness in the shear strength of the
concrete filled GFRG walls. Therefore, it is important
for designers to understand that the design guidelines
developed from the previous experimental investiga-
tions are only applicable to GFRG panels that are
made from the old production lines. For panels made
with the new technology in the new production lines,
the results and conclusions derived from this work
shall be applicable. To be conservative, the axial load
effect on the shear strength can be omitted in designs.
8 Conclusions
This work investigates the shear strength of the
concrete-filled GFRG walls. The structural system of
these walls includes a top and a bottom RC beam.
Partial concrete filling to the hollow cores of the
GFRG panels was considered in the investigation.
Full scale experimental testing was undertaken to
evaluate the lateral resistance of the walls. Nonlinear
finite element analyses are utilized to study the
various factors that may affect the shear strength of
the walls. Based on the test results and the FEM
analyses, the shear design model for the walls is
developed. From this study, the following conclu-
sions are drawn:
1. The longitudinal shear failure is typical in both
the fully and the partially concrete filled GFRG
walls;
2. The lateral resistance of the walls with a top and
a bottom beam consists of two parts: (a) the
flexural resistance of the internal RC frame
formed by the top and the bottom beams and
the infill concrete cores; and (b) the shear
strength of the GFRG panel that equals to the
length of the panel multiplied by the unit shear
strength that depends on the strength of the
panel;
3. The internal surface roughness of the panel or the
frictional bond at the interfaces between the
concrete cores and the GFRG panel significantly
affects the axial load effect on the shear strength
of the walls. When the interfaces are smooth,
Fig. 16 Vertical load effect
Fig. 17 Surface of concrete
core. (a) Reference [2], (b)
this test
Materials and Structures (2008) 41:649–662 661
which was the case tested in this work, the axial
load has no effect on the shear strength of the
walls; and
4. The above conclusion on the axial load effect is
general and applicable to other kinds of walls. It
is generally accepted in the conventional RC
theory that the axial load increases the shear
strength of a wall. The results from this study
reveal that this axial load effect may not exist
when longitudinal joints or weaknesses that
affect the transfer of longitudinal shear stress
present in a wall.
Acknowledgement The work described in this paper was
fully supported by a grant from the Research Grant Council of
the Hong Kong Special Administrative Region, China [Project
No. CityU 1113/04E].
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