A modified one-zone model has been proposed for structural fire safety design. In the model, a quantity which considers the heat sink effect of steel members in fire compartment is added to the heat balance equation for one-zone compartment fire model. In this paper, the proposed model is solved by FEM simulations. The results from FEM simulations are verified by program OZone (V2.0). Case studies have been conducted with investigating parameters including number of steel members, compartment dimension, opening area, fire load density and steel insulation thickness. The results of the studies show that for fire compartments with bare steel members, the steel heat sink effect is greater for compartments with smaller floor area, larger opening, lower fire load density, and more steel members; and for fire compartments with insulated steel members, the steel heat sink effect is greater for compartments with larger floor area, smaller opening, higher fire load density, and more steel members with thinner insulation. Correspondingly, the over-predictions of the maximum steel temperatures by the current model are comparatively more severe for those compartments. The proposed model can yield more economical fire resistance design than the current model, which is recommended for practical usage.Keywords: Temperature calculation; Steel structures; Post-flashover fires; Fire resistance; Modified one-zone model
INTRODUCTIONCurrently, performance-based method is very popular in fire safety engineering. In a performance-based fire resistance design, the temperature of building components exposed to the potential real fires should be determined scientifically.The behavior of a real fire is complex, which depends on many parameters such as sprinkler, fire load, combustion, ventilation, compartment size and geometry, and thermal properties of compartment boundaries [1]. So far, with increase in complexity, empirical correlations (e.g. nominal fire curves and parameter fire curve [2]), zone models (e.g. one-zone model for post-flashover fires [3,4] and two-zone model for preflashover fires [4,5]), and sophisticated CFD models (e.g. Fire Dynamic Simulation [6]) have been developed to model the fire behavior.In fire resistance design, post-flashover fires are usually considered because they provide the worst case scenario (however, localized heating of key elements of structure in pre-flashover fires must also be considered). The temperature of a steel member exposed to a post-flashover fire is usually determined by first representing the fire environment by a fire curve obtained from solving the one-zone compartment fire model, then substituting the fire curve into a one-dimensional (1D) condensed heat transfer model to obtain the steel temperature [7]. The temperature of steel members in a fire can also be determined by advanced compute simulations [8]. Figure 1 shows the one-zone compartment fire model. In this model, the heat balance equation within the compartment is given by [9]