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SIMPLIFIED CALCULATION METHOD FOR TEMPERATURE EVALU ATION OF STEEL COLUMNS EMBEDDED ON WALLSAntónio Moura Correia, João Paulo Rodrigues, Valdir Pignatta e Silva
| 2
Institute for Sustainability and Innovation in Structural Engineering
FCTUCFaculdade de Ciências e TecnologiaUniversidade de Coimbra
The EN 1993-1-2 for fire design, does not take into account the case of steel elements
embedded in walls, presenting only a formulation considering uniform temperature. Thus
the thermal gradients observed within the cross-section are neglected.
Proposed changes
Eurocode EN 1993-1-2 Clause 4.2.5
The proposal consists of a new simplified calculation method to evaluate the
temperature distribution on steel columns embedded in walls. The method is based on Finite
Element Analysis and Fire Resistance Tests. Steel columns totally or partially embedded in
walls, with the web perpendicular or parallel to the wall surface, were studied.
Reasons for improvement
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Institute for Sustainability and Innovation in Structural Engineering
FCTUCFaculdade de Ciências e TecnologiaUniversidade de Coimbra
1. 3D restraining steel frame;
2. Hydraulic jack of 1MN;
3. 2D reaction frame;
4. LVDT’s;
5. Furnace;
6. Safety structure;
SIMPLIFIED CALCULATION METHOD FOR TEMPERATURE EVALU ATION OF STEEL COLUMNS EMBEDDED ON WALLSAntónio Moura Correia, João Paulo Rodrigues, Valdir Pignatta e Silva
| 4
Institute for Sustainability and Innovation in Structural Engineering
FCTUCFaculdade de Ciências e TecnologiaUniversidade de Coimbra
Walls on both sides of the columns were
built. The furnace applies the thermal
action, following the standard ISO curve.
The columns in test were placed on the centre
of a 3D restraining frame. The column was instrumented with
thermocouples and LVDT’s.
Preparation of the tests on steel columns embedded on walls
SIMPLIFIED CALCULATION METHOD FOR TEMPERATURE EVALU ATION OF STEEL COLUMNS EMBEDDED ON WALLSAntónio Moura Correia, João Paulo Rodrigues, Valdir Pignatta e Silva
| 5
Institute for Sustainability and Innovation in Structural Engineering
FCTUCFaculdade de Ciências e TecnologiaUniversidade de Coimbra
SIMPLIFIED CALCULATION METHOD FOR TEMPERATURE EVALU ATION OF STEEL COLUMNS EMBEDDED ON WALLSAntónio Moura Correia, João Paulo Rodrigues, Valdir Pignatta e Silva
Experimental tests on steel columns embedded on walls
400ºC400ºC400ºC
400ºC
400ºC400ºC 400ºC 400ºC
400ºC
400ºC
400ºC
400ºC
400ºC 400ºC
400ºC400ºC
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Institute for Sustainability and Innovation in Structural Engineering
FCTUCFaculdade de Ciências e TecnologiaUniversidade de Coimbra
Thermal Gradients Web perpendicular to the walls Web parallel to the wallsEA
t(min)Exposed flange Web
Unexposed flange
0.0 20 20 20
1.8 100 49 20
3.2 200 87 20
4.5 300 127 20
5.9 400 170 21
7.6 500 220 23
10 600 280 28
14.6 700 362 42
t(min)Exposed
half-flange WebUnexposed half-flange
0 20 20 20
2.25 100 80 37
4.16 200 159 72
6.1 300 244 119
8.3 400 329 174
11.1 500 417 245
15.5 600 513 333
0
100
200
300
400
500
600
700
800
0 5 10 15 20 25 30
T (
ºC)
t (min)
Exposed
flange
web
Unexposed
flange
Mean Steel
Temperature 0
100
200
300
400
500
600
700
800
0 5 10 15 20
T (
ºC)
t (min)
Exposed half-
flange
web
Unexposed
Half-flange
Mean Steel
Temperature
SIMPLIFIED CALCULATION METHOD FOR TEMPERATURE EVALU ATION OF STEEL COLUMNS EMBEDDED ON WALLSAntónio Moura Correia, João Paulo Rodrigues, Valdir Pignatta e Silva
| 7
Institute for Sustainability and Innovation in Structural Engineering
FCTUCFaculdade de Ciências e TecnologiaUniversidade de Coimbra
SIMPLIFIED CALCULATION METHOD FOR TEMPERATURE EVALU ATION OF STEEL COLUMNS EMBEDDED ON WALLSAntónio Moura Correia, João Paulo Rodrigues, Valdir Pignatta e Silva
Reduction factors
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Institute for Sustainability and Innovation in Structural Engineering
FCTUCFaculdade de Ciências e TecnologiaUniversidade de Coimbra
Temperature evolution in unevenly heated columns, embedded on walls
Model 1 Model 2 Model 3
Analytical Proposals
Model 4 Model 5
SIMPLIFIED CALCULATION METHOD FOR TEMPERATURE EVALU ATION OF STEEL COLUMNS EMBEDDED ON WALLSAntónio Moura Correia, João Paulo Rodrigues, Valdir Pignatta e Silva
| 9
Institute for Sustainability and Innovation in Structural Engineering
FCTUCFaculdade de Ciências e TecnologiaUniversidade de Coimbra
Model 2 – HEA 160 Model 5 – HEA 160
Analytical Proposals
SIMPLIFIED CALCULATION METHOD FOR TEMPERATURE EVALU ATION OF STEEL COLUMNS EMBEDDED ON WALLSAntónio Moura Correia, João Paulo Rodrigues, Valdir Pignatta e Silva
| 10
Institute for Sustainability and Innovation in Structural Engineering
FCTUCFaculdade de Ciências e TecnologiaUniversidade de Coimbra
Conclusion
Concerning the assessment of the temperature evolution in the steel
profiles embedded on walls
The EN 1993-1.2 (2005) formulation using the section factor can be used, although
it was proven to be valid only for the exposed flange engulfed in fire (cases of wall
thickness smaller than web height). In all other cases, the temperature in each zone of the
cross-section can be calculated in function of the temperature of the exposed area.
Several reduction factors were defined in such a way that multiplying the temperature of
the exposed area of the steel profile by them, the temperature in the corresponding zone
is obtained.
Another aproach was proposed considering different formulae for the different
cases.
SIMPLIFIED CALCULATION METHOD FOR TEMPERATURE EVALU ATION OF STEEL COLUMNS EMBEDDED ON WALLSAntónio Moura Correia, João Paulo Rodrigues, Valdir Pignatta e Silva