Interaction
This paper describes the derivation of the equation for evaluating the strength of
bridge steel plate
reinforced concrete structure (SC) and the experimental results of SC panels subjected
to in-plane shear.
Two experimental research programs were carried out. One was the experimental
study in which the influence of the axial force and the partitioning web were
investigated, another was that in which the influence of the opening was investigated.
In the former program, nine specimens were loaded in cyclic in-plane shear. The
test parameters were the thickness of the surface
high building steel plate
, the effects of the partitioning web and the axial force. The experimental
results were compared with the calculated results, and good agreement between the
calculated results and the experimental results was shown.
In the later programs, six specimens having an opening were loaded in cyclic in-
plane shear, and were compared with the results of the specimen without opening. FEM
analysis was used to supplement experimental data. Finally, we proposed the equation
to calculate the reduction ratio from the opening for design.
Four scaled one-storey single-bay steel plate shear wall specimens with
unstiffened panels were tested to determine their behaviour under cyclic loadings. The
shear walls had moment-resisting beam-to-column connections. Four different vertical
loads, i.e., 300?kN, 600?kN, 900?kN, and 1200?kN, representing the gravity load of the
upper storeys were applied at the top of the boundary columns through a force
distribution beam. A horizontal cyclic load was then applied at the top of the
specimens. The specimen behaviour, envelope curves, axial stress distribution of the
infill steel plate, and shear capacity were analyzed. The axial stress distribution
and envelope curves were compared with the values predicted using an analytical model
available in the literature.
To investigate the shear resistance of single-bay
low alloy plate shear walls
(SPSWs), a large number of experiments have been conducted using low cyclic loading.
Driver et al. [1] carried out a cyclic test of a four-storey SPSW. A vertical load of
720?kN was applied at the top the of the boundary columns with one horizontal load at
each floor level. Their results indicated that the final deflection at the top floor
is nine times larger than the yield deflection. The test specimen proved to be
initially very stiff and had an excellent ductility and energy dissipation. Later,
because of damage to the 1st storey, only the upper three storeys of this SPSW
specimen was further tested by Behbahanifard [2] to verify their finite element model.
Moghimi and Driver [3] carried out a test of a large-scale two-storey SPSW specimen. A
vertical load was also considered in their test. The results indicated an excellent
performance. In addition, high ductility and energy dissipation were observed. Qu et
al. [4] performed a two-phase experimental program on a full-scale two-storey SPSW
with reduced beam section connections and composite floors. Their first-phase test was
pseudodynamical tests using three ground motions of decreasing intensity. The buckled
infill steel plate was replaced by new panels in the subsequent test. Their results
showed that the repaired specimen could survive and dissipate significant energy
without severe damage to the boundary frame. The final storey drifts reached 5.2% and
5.0% at the first and second storey. Other experimental research included works on
reduced beam section anchor [5], low-yield point SPSW [6], unstiffened perforated
SPSWs [7], partially connected SPSWs [8], SPSWs with semirigid connected frame [9],
shake table test of buckling restrained SPSWs [10], self-centering SPSW [11], and the
use of light-gauge SPSWs [12].
However, until today, physical experiments on the cyclic behaviour of SPSWs under
concurrent gravity and horizontal load have not been reported. Most investigations
were performed numerically, e.g., Elgaaly and Liu [13] compared the shear carrying-
capacity of a SPSW with and without gravity load by the finite element method. The
authors concluded that the gravity load has little effect on the shear-carrying
capacity. This might be caused by the low magnitude of compression and thin infill
wall considered in their analyses. Zhang and Guo [14] performed finite element
analyses on the behaviour of SPSWs with precompression from the adjacent columns.
Their research showed that the shear capacity of SPSWs was significantly impaired by
the precompression. Their previous research [15] also showed that the gravity load
acting at the top of the boundary columns has significant effects on the shear load-
carrying capacity.
To evaluate the adequacy of an analytical model available in the literature in
predicting the influences of gravity loads on the cyclic performance of the SPSW,
physical experiments were performed in this paper. Four scaled SPSWs under
compression-shear interaction were designed and tested. The envelope curves, the axial
stress distribution and the maximum shear capacity obtained from the experiments were
then used in the evaluation of the analytical model.
The test parameter was the vertical load applied at the top boundary columns. Test
specimens are one-storey walls. The height of the specimen was 0.75?m, and the width
was 1.1?m. The columns were 1?m apart from center to center. Figure 1 shows the size
and configuration of the specimens. The plate thickness was 2.1?mm Q235 steel with the
yield strength of 255?MPa. The size of the infill plate was 600?mm?×?900?mm. The
frame members are built-up sections made of Q345 steel with the yield strength of
460?MPa. The boundary columns, i.e., H-overall depth (d)?×?flange width (bf)?×?web
thickness (tw)?×?flange thickness (tf), have, respectively, the dimensions of 100?mm?
×?100?mm?×?6?mm?×?8?mm. The top beam, connected to the actuator, has the
corresponding dimensions of 150?mm?×?100?mm?×?6?mm?×?9?mm. This beam was stiff to
ensure a smooth transfer of the load to the tension field occurred below the beam.
Moment connections were used at all beam-to-column joints. Connection of the beam
flanges to the columns was constructed using complete penetration groove welds. The
beam webs were welded to the column flange by two-sided fillet. The infill
high strength plate was
connected to the boundary beams and columns using the fishplates. Figure 2 shows the
fishplates of 50?mm width and 3?mm thickness. Continuous fillet welds on both sides of
the fishplates were used. The infill steel plate is fitted to the fishplates with a
lap of approximately 20?mm all around.
Figure 1 shows a sketch of the test specimen with the vertical load and the
lateral cyclic load. The constant vertical load of specimens A, B, C, and D was,
respectively, 300?kN, 600?kN, 900?kN, and 1200?kN. It was kept steady during the whole
test. The beam that distributed the vertical load was hinged to the top of the two
boundary columns. A hydraulic jack generated the vertical load at the top of the load
distribution beam. It was supported by a stiff steel frame. To avoid any shear force,
a roller was placed between the steel frame and the hydraulic jack.
Horizontal cyclic load acted at the center line of the top beam. A hydraulic jack,
supported by a laboratory reaction wall, generated the horizontal load. Up to the
first yield in the steel plate, a force-controlled load was applied. Depending on the
load combination, the first yielding stage was achieved by increasing the horizontal
load from ±50?kN to ±200?kN with an increment of 50?kN. In the subsequent load
cycles, a displacement-controlled loading was performed until the specimen failure by
increasing the displacement after each three cycles from ±4?mm.
Eighteen strain gauges were attached along the boundary columns to measure the
axial strain, and 8 strain rosettes were attached at the surface of the infill
spring steel (see Figure 1). Two
linear variable differential transformers (LVDTs) were installed at the base of the
boundary column and at the center line of the top beam.
Table 1 lists the results of the coupon tests of the two materials Q345 and Q235.
Three coupons were tested for each material, and the average value is used for the
subsequent analytical analyses.
Under pure gravity loads, no buckling occurred in specimens A, B, and C. However,
in the case of specimen D, horizontal buckling of the infill steel plate took place.
The following described the behaviour of the four specimens.
In the case of specimen A, until the top displacement reached 4?mm, there was no
buckling in the infill steel plate. The tension strips, formed from the lower left
corner to the upper right corner, have an inclination angle near to 45°. During the
first displacement cycle of 8?mm, the first loud bangs occurred. In the subsequent
cycles, these noises continued to occur. With an increase of the top displacement,
various parts of the infill steel plate progressed to yield. A large residual
deformation formed at the end of each pull or push loading with a further increase of
residual deformation in the subsequent cycles. The first tear was detected in the
upper left corner between the fishplate and the infill steel plate during the first
12?mm displacement load. The tear gradually increased to nearly 30?mm at the end of
the first 12?mm cycles, as shown in Figure 3. At the end of the second 12?mm
displacement cycle, new tears were detected at the two lower corners. All the tears
extended with an increase of the top displacement, but no new tear was observed.
During the first 20?mm displacement cycle, the shear resistance of the specimen did
not decrease, but the tears grew faster and the specimen was pushed over. The ultimate
deformation at the top of the specimen reached more than 50?mm. The force resistance
only dropped by about 15%. At the end of the test, all the tears extended to be more
than 60?mm. The tension boundary column failed due to the rupture of the weld at the
bottom of the column, as shown in Figure 4. Meanwhile, the compression column
experienced local buckling in the flange, and only a slight out-of-plane deformation
was observed.
In the case of specimen B, i.e., under 600?kN vertical load, no buckling or
yielding was detected. Prior to reaching the yield displacement, four load cycles with
increasing magnitude from ±50?kN to ±200?kN were necessary to cause the first
yielding. At the cyclic load of 150?kN, the first loud bang occurred. These noises
also occurred during the unloading phase in the following cycles. However, tension
strips first only occurred during the second cycle of the 2?mm level, as indicated by
the diagonal lines in Figure 5. The first tear was detected at the upper left corner
at the end of the third cycle of 4?mm. The length of the tear was about 10?mm, and
this tear gradually grew in the following cycles. At the first 6?mm displacement
cycle, new tears of about 15?mm length occurred at the upper right and lower left
corners. The length of the tear at the upper left corner extended to about 20?mm. At
the end of the second 10?mm displacement cycle, a slight buckling at the support of
the boundary column under compression was observed. The length of tear at the upper
right corner extended to about 50?mm. At the second 12?mm displacement cycle, as shown
in Figure 6, the upper left tear extended to nearly 60?mm, and the shear force
resistance did not decrease. During the first 16?mm displacement pull load, the
specimen reached a maximum resistance at the top displacement of 13?mm. The shear
resistance then began to decrease. At the second 16?mm displacement cycle, the shear
resistance decreased rapidly. The failure started at the support of the column under
compression where a significant buckling and yield occurred. An out-of-plane
deformation increased very fast, resulting in a loss of the in-plane shear resistance.
In the case of specimen C, soft noises occurred during the application of the
vertical load of 900?kN, even prior to the horizontal load. However, no buckling and
yielding were detected. Prior to reaching the yield displacement, three load cycles
with increasing magnitude from ±50?kN to ±150?kN were necessary to cause the first
yielding. The first loud bang occurred at the cycle of 150?kN. The tension strips
occurred while pushing. After unloading, a large residual deformation was observed. At
the first 6?mm displacement cycle, a first vertical tear occurred at the upper left
corner. In the following load cycle, a new tear occurred at the upper right corner at
the compression direction. At the first 8?mm displacement cycle, local buckling of the
compression column appeared. The shear resistance did not decrease. At the second 8?mm
displacement cycle, the tear at the upper left corner extended to about 40?mm. The
global out-of-plane buckling occurred, and the shear resistance of the specimen
decreased rapidly to less than 100?kN. Specimen C failed because of the global out-
of-plane buckling, as shown in Figure 7.
In the case of specimen D, a soft noise occurred when the vertical load reached
900?kN, and no buckling and yielding were observed in the specimen. The vertical load
gradually increased to 1200?kN. The noises increased, but there was no loud bang.
Slight horizontal waves due to buckling of the infill
tower plate occurred. The first
bang occurred at the 50?kN horizontal load cycle. These noises occurred several times
during each cycle in the following load cycles. After the 150?kN load cycle, a
displacement loading was applied. The shear resistance capacity was stable at 2?mm and
4?mm displacement cycles, and there were no tear. At the 6?mm displacement cycles, the
shear resistance began to decrease during the pulling. The reason was the anchorage of
the column under compression failed (Figure 8(a)). The failure mode is shown in Figure
8(b).
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