Distribution of temperature in steel and composite beams and joints under natural fire
F. Hanus (B.E.S.T. design office) & J.-M. Franssen (Univ. of Liege)
More info on http://hdl.handle.net/2268/66090
Motivation: analysis of connections in cooling phase => calculation of temperatures in steel beam and in joints.
Existing « lumped capacitance » method:
heatingtaaamshdnetdtransferre QVctAkhQ ,,
OK for unprotected steel sections (heating and cooling)OK for protected steel sections (heating)OK for lower half of a steel beam with a slab on the upper flangeNot OK for the upper part of the steel beam with a slab
New « Heat exchange » method for T in the upper flange.
heatingtaaaconcretebottomtopgasdtransferre QVcQQQQ ,
X
Y
Z
Diamond 2009.a.4 for SAFIR
FILE: IPE300mixte
NODES: 1042
ELEMENTS: 894
CONTOUR PLOT
TEMPERATURE PLOT
TIME: 1800 sec822.90
800.00
775.00
750.00
725.00
700.00
675.00
650.00
625.00
600.00
575.00
550.00
525.00
500.00
21.90
More info on http://hdl.handle.net/2268/66090
concreteQ
G = 0.4 G = 0.7 G = 1 G = 1.5 G = 2Flux (kW/m²) Flux (kW/m²) Flux (kW/m²) Flux (kW/m²) Flux (kW/m²)
20 0 0 0 0 0150 17 20 23 26 28475 24 28 31 34 36
Given by an equation obtained from curve fitting with numerical results based on Annex A of EN 1991-1-2 parametric fire curves
Contains 2 parameters
0
5
10
15
20
25
30
35
40
0 200 400 600 800 1000
Temperature (°C)
Flu
x fl
ang
e-sl
ab (
kW/m
²)
G = 0.4G = 0.7G = 1.0G = 1.5G = 2.0Série1Série2Série4Série5Série6 -15
-10
-5
0
5
10
15
20
25
30
35
40
0 100 200 300 400 500 600 700 800 900
Temperature (°C)
Flu
x fl
ang
e-sl
ab (
kW/m
²)G = 0.4G = 0.7G = 1.0G = 1.5G = 2.0Série1Série2Série4Série5Série6
During heating During heating and cooling
More info on http://hdl.handle.net/2268/66090
0
100
200
300
400
500
600
700
800
900
0 30 60 90 120 150
Tem
pe
ratu
re (
°C)
Time (min)
Parametric Fire Curve
SAFIR 2D-Model
Heat Exchange Method
0
100
200
300
400
500
600
700
800
900
0 30 60 90 120 150
Tem
pe
ratu
re (
°C)
Time (min)
Parametric Fire Curve
SAFIR 2D-Model
Heat Exchange Method
0
100
200
300
400
500
600
700
800
900
1000
0 20 40 60 80 100 120
Tem
pe
ratu
re (
°C)
Time (min)
Param. Fire Curve
Bottom Flange SAFIR
Bottom Flange Analytical
Top Flange Composite SAFIR
Top Flange Composite Analytical
0
100
200
300
400
500
600
700
800
900
1000
0 20 40 60 80 100 120
Tem
pe
ratu
re (°
C)
Time (min)
Param. Fire Curve
Bottom Flange SAFIR
Bottom Flange Analytical
Top Flange Composite SAFIR
Top Flange Composite Analytical
IPE300 IPE550
30’ fire
60’ fire
More info on http://hdl.handle.net/2268/66090
Works also for the temperature of the upper flange in the joint region
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