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Modelling
of the Cardington full-scale fire tests
In 1995-96 six
large fire tests, in all of which the internal steel beams were unprotected
against heating, were carried out on a full-scale 8-storey composite
building constructed in 1994 at the BRE Fire Research Laboratory at
Cardington[6].
The test building was constructed as a typical office development,
using downstand beams supporting lightweight slabs cast in-situ onto
ribbed steel decking. Composite action was achieved between both primary
and secondary steel beams and the floor slabs using through-welded
shear studs.
The six fire
tests were sited in different types and sizes of fire compartments
designed to test a variety of situations. See the locations of the
fire tests below. The
comparisons against Vulcan
analyses refer to the following tests:
The
floors were loaded throughout the testing period using sand-bags,
which contributed to an overall floor loading of 5.48kN/m2. For the
secondary composite beams this equates to a load ratio of 0.44. The
most significant qualitative observation was that in none of the six
fire tests was there any indication of run-away failure, despite unprotected
steel beam temperatures over 1000°C in some tests. Tensile membrane
action in the concrete floor slabs may have played an important role
in this respect. The ambient-temperature material properties used
in the modelling, based on tested values from the Cardington frame
where these were available, are as follows: · The yield strength of
steel members is 308 N/mm2 for Grade 43 steel (S275) and 390 N/mm2
for Grade 50 steel (S355); · The yield strength of the steel used
in the anti-crack mesh was assumed to be 460 N/mm2; · The elastic
modulus of steel was N/mm2; · The average compressive strength of
concrete test samples was 35 N/mm2 In all tests the internal steel
beams in the ceiling of the compartment were left unprotected, although
columns were mainly protected and in some tests the perimeter beams
were protected. It is not possible to be totally certain of the conditions
of these tests, because of inevitable variations in details such as
loading, heating, slab thickness and material properties. Nevertheless
they represent the most significant source of experimental data for
steel structures in fire, and provide a unique basis for comparison
with regard to complete structure behaviour.
The
Restrained Beam Test involved heating a single 305x165UB40 secondary
beam and an area of the surrounding slab on the seventh floor. The
major objective of this test was to study the effects of restraint
from a large area of surrounding cool structure, including floor slabs,
on the behaviour of the heated structure. The finite element mesh
layout used for the analysis of this test is shown opposite.
The
temperature distributions in the steel beam and slab are based on
the average values recorded. In order to investigate the structural
behaviour up to extremely high temperatures, these temperatures have
been extrapolated linearly. The test results (mid-span deflection
against bottom flange temperature) are shown in the left-hand figure,
together with the analytical results. The predictions of the present
model, including geometric non-linearity of the slab element, are
in remarkably good agreement with the test results, whereas using
a linear slab element gives a poor representation above about 500°C.
top
British
Steel Plane Frame Test
The
plane frame test involved the beams and columns supporting the
4th floor across the full width of the structure. The two internal
columns were fire-protected to 200mm below the lower flange of
the 9m long 610x228x101UB primary beam. The maximum recorded temperatures
in this test were 808°C (steel beam) and 385°C (concrete slab),
whilst the top surface of the slab reached 95°C. These have been
extrapolated linearly in order to investigate the structural behaviour
of this fire test up to higher temperatures. The finite element
mesh layout used for the analysis is shown below.
The protected cross-sections of columns are assumed to have uniform
temperature, rising to a maximum of 600°C, while the unprotected columns
lengths are at the same temperature as the beam bottom flanges. Comparisons
of the Vulcan predictions
against the test results at location D9 are shown in the figure, and
indicate good agreement.
top
British
Steel Corner Bay Test
This
test was carried out on a corner bay of the structure 9.98m wide
by 7.57m deep. All columns and perimeter beams were wrapped with
ceramic fibre insulation, but all other structural elements were
left unprotected. During the fire test the maximum recorded atmosphere
temperature in the compartment was 1028°C, which occurred after
80 minutes. The finite element mesh layout used for the analysis
is shown opposite. A single set of temperature distributions was
assumed for all unprotected beams, with a different set for protected
beams. Columns were assumed to be at uniform temperature, and
the average test temperature distribution through the thickness
of the concrete slab was used.
The graph
above compares the test results with the predicted deflections at
the mid-span (point D11) of the central secondary beam B1/2 against
the bottom flange temperature. It can be seen that while the vertical
deflections remain below 300mm, in which range the key temperature
of the steel beam is less than 700°C, there is clearly little influence
from tensile membrane action. On further increase of temperature
the steel beams lose most of their strength, and the loads above
fire compartment begin to be carried largely by the floor slab,
increasingly in membrane action as the temperature rises, as can
be seen in the sequence shown below.
The figure
below shows the change in principal membrane tractions as steel
temperature rises (length of vector shows the magnitude of traction,
blue vectors are compression, red vectors are tension):
The deflection profile of the composite slab at 900°C, as given by
the geometrically non-linear slab elements, is shown in here, including
the cracking patterns of the top concrete layer.
The
BRE corner bay test was similar in extent to that described above,
although wind-posts effectively restricted vertical downward movement
of the edge beams to 80mm. All of the steel beams in the compartment
were left unprotected, but the steel columns inside the compartment
were protected by insulating material up to the underside of the ceiling
slab, including the beam-to-column connections. During the fire test
the maximum recorded temperature were 1051°C (atmosphere), 842°C (internal
beam), 590°C (edge beam), 285°C (concrete slab), and 150°C (columns).
These have been extrapolated to allow structural analysis at higher
temperatures. The finite element mesh layout adopted for the analysis
is shown opposite.
The
comparisons between the predicted and test results for vertical
deflection of the central position D19 are plotted in this figure.
The geometrically linear results give a reasonable representation
up to temperatures of about 600°C, but at higher temperatures are
unable to model the behaviour of the floor slab adequately. In contrast,
the geometric non-linear results provide a very good comparison
throughout.
The development
of the principal membrane tractions in the BRE corner test can be
seen below (length of vector shows the magnitude of traction; blue
vectors are compression, red vectors are tension):

Why
does the BRE corner bay behave differently from the British Steel
corner bay ?
The principal
tractions shown in the BRE corner bay do not appear to show classic
membrane action, since there is no apparent "ring" of
compressive stress around the periphery of the slab. This is explained
by the graph showing the development of axial force in the steel
beams around the edges of the heated slab in each case.
In the BS
test the edge members stay in tension throughout, and eventually
all the members surrounding the slab have low axial forces. In the
BRE test the peripheral members retain high compressive forces until
the end of the test, so the compressive "ring" still exists
but is located mainly in these beams
The different
behaviour of the peripheral beams can be traced back to their protection
and support conditions in the two tests.
In the BS
test the edge beams were protected but not externally supported.
In the BRE test the edge beams were supported but left unprotected
so that the high compressive forces in these members are due to
their restrained expansion against the attached slab. This also
keeps the slab in tension over the edge beams.
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BRE Large Compartment Test
The
BRE large compartment test extended across the full width of the building,
between Grid-line A and a line 0.5m from Grid-line C, covering an
area of 340m2. All the internal steel beams were unprotected, but
the columns were protected over their full height, including the connections.
This fire test was rather cooler than the others, having maximum recorded
atmospheric and steelwork temperatures of 763°C and 691°C, respectively.
The maximum average measured temperature of the bottom layer of the
concrete slab was about 260°C. These have been extrapolated linearly
in order to investigate the structural behaviour up to higher temperatures.
The finite element mesh layout adopted for the analysis is shown below.
The comparisons
between the predicted and test results for vertical deflections
at key position D32 are shown above. It can be seen that the predictions
are in good agreement with test results over the test temperature
range.
The deflection
profile of the composite slab, given by the Vulcan
modelling, can be seen from the figure below, at unprotected steel
temperatures from 20°C to 1000°C, including the cracking patterns
of the top layer of concrete.
The
figure below shows the deflection pattern as steel temperature rises:
>top
British
Steel Office Fire (Demonstration) Test
The demonstration test was designed to represent a typical office
fire, and was less thoroughly instrumented than the others. The internal
column and the internal surfaces of perimeter columns were fire-protected
to their full height, including the connections, with a 25mm thickness
of ceramic-fibre blanket. However, all the beams and the beam-to-beam
connections remained totally exposed.
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Office
fire load, including timber cribs |

The
fire after flashover |
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Permanent
damage to the floor structure |
The
maximum temperatures recorded were 1213°C (atmosphere) and 1150°C
(steel beams). No temperature data was recorded for the floor slabs.
Due to the high variation in the recorded temperatures of the steel
beams, the Vulcan analysis
used the actual test temperatures of individual beams, and results
are plotted with respect to time. The temperature of the floor slab
was assumed to follow a similar pattern to that in the BRE Corner-Bay
Test, although it is acknowledged that temperature gradients may be
rather different. The finite element mesh layout adopted for the analysis
is shown below.
The
analytical predictions for deflection against test time at key positions
V10 are compared with the test results above, and show reasonable
comparison, given that slab temperature profiles have to be assumed
in the analyses. Note that in this test there is some evidence that,
after 35 minutes of the test, the slab had deflected sufficiently
to come into contact with the fire compartment wall close to position
V29 and this may have significantly influenced the recorded test behaviour.
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