Abstract
The paper studies the behavior of composite slabs with corrugated steel sheeting at elevated temperatures. Two structural systems are considered: a simply supported composite slab and a continuous composite slab that consists of two equal spans. Both of them are designed according to the respective Eurocodes to have similar strengths at room temperature. In the sequel, sophisticated three-dimensional models of the slabs are developed. Coupled thermo-mechanical analysis is used, which takes into account the various nonlinearities that are present in the physical model (dependence of the thermal and mechanical properties of the material on temperature, nonlinear material behavior, cracking etc.). The results of the thermal analysis are compared with the temperature field that is proposed in Eurocode 4. For both the structural systems, the fire resistance, in time domain, that yields from the coupled analysis is compared with the fire resistance that results following the provisions of Eurocode 4. Another objective is to evaluate the effect of static indeterminacy on the fire resistance of composite slabs.
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Acknowledgments
This research has been co-financed by the European Union (European Social Fund–ESF) and Greek national funds through the Operational Program “Education and Lifelong Learning” of the National Strategic Reference Framework (NSRF)—Research Funding Program: Heracleitus II. Investing in knowledge society through the European Social Fund.
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Appendix: Validation of the Numerical Model
Appendix: Validation of the Numerical Model
The validation of the numerical model proposed in this study is based on the experimental results that are reported by Hamerlinck in [14]. During this experimental program, fire tests were conducted in order to investigate the behavior of composite slabs during exposure to standard fire. The verification of the current advanced model is based on test No.2, as it is referred in [14], which is a fire test on a simply supported, one-way composite slab (similar to the one studied in this paper).
The total span of the test specimen is equal to 3.2 m, as it is illustrated in Figure 21. The test is performed on a slab with Prins 73 steel sheeting with thickness equal to 1 mm. The self-weight of the slabs is \( G = 2.7 \) kN/m2, while the imposed load is equal to \( Q = 3 \) kN/m2. The loading was applied by four point loads (see Figure 21). The positive reinforcement is equal to Ø10/208 while the negative one is Ø6/150 and they are defined as hot-rolled and cold worked respectively. The concrete depth which is equal to 173 mm. During the fire test, thermocouples were used for the measurement of the temperature of the steel sheeting, of the reinforcement and of various points in concrete. The accurate dimensions of the cross-section and the arrangement of the reinforcing bars are illustrated in Figure 22 while the position of the thermocouples is presented in Figure 23. The mechanical properties of steel and concrete were measured at room temperature during the experimental program and they are presented in Table 5.
The finite element model that is developed in order to compare the numerical with the experimental results follows all the principles that were described in Sect. 5.2. All the mechanical and thermal material properties are assumed to be temperature dependent according to [18, 19] for concrete and steel respectively. The material characteristics measured during the experimental program are taken into account. Moreover, the appropriate distinction is made for hot-rolled and cold-worked steel.
The thermal boundary conditions are considered in the same way as they were presented in Sect. 5.2. For the emissivities, the values used in [14] were adopted. Finally, it is noted that the analysis takes into account all the considerations that were described in Sect. 5.3.
The comparison of the numerical and the experimental results, considering the thermal response, is illustrated in Figure 24. In general, a good agreement between the measured and calculated values is observed.
Considering the evaluation of the mechanical response of the slab, it is noted a very good agreement between the measured and the calculated deflections until the 97th minute of the fire exposure (Figure 25). After this minute the numerical analysis stops due to numerical problems attributed to the significant cracking of concrete.
In general, it can be concluded that the numerical model represents accurately both the thermal and the mechanical response of the studied composite slab under fire conditions.
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Pantousa, D., Mistakidis, E. Advanced Modeling of Composite Slabs with Thin-Walled Steel Sheeting Submitted to Fire. Fire Technol 49, 293–327 (2013). https://doi.org/10.1007/s10694-012-0265-x
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DOI: https://doi.org/10.1007/s10694-012-0265-x