# Performance-Based Analysis of Single-Layer Cylindrical Steel Reticulated Shells in Fire
## 1 Introduction  
In China, fire is the third-worst major disaster causing a threat to human life and property (after drought and flooding), and its probability is much higher than that of other disasters. The loss of life and economic losses caused by fire are much higher than those caused by earthquakes. Fire is one of the most frequent and common major disasters threatening public safety. Long-span space structures, such as railway stations, airport terminal buildings, cinemas, stadiums, and exhibition halls are usually public buildings with dense populations or that contain dense material storage. The material of most space structures is steel, which has a poor fire resistance performance. High temperatures have a significant effect on the mechanical properties of steel. When the temperature exceeds 300 \({}^{\circ}\)C, the mechanical properties of steel decrease significantly. When the temperature is 400 \({}^{\circ}\)C, the yield strength of steel is reduced to half of its yield strength at normal temperatures. When temperatures reach 600 \({}^{\circ}\)C, steel basically loses its strength and stiffness. Therefore, the bearing capacity of structures decreases rapidly once a fire occurs. In a short period of time, high temperatures and smoke from fire can cause structural damage and even collapse. How to ensure the safety performance of steel space structures and reduce the economic losses from fire have become important issues for engineers and technicians engaged in theoretical research on spatial structures. However, the traditional fire resistance design method, which is based on a standard fire curve, cannot be used for long-span spatial structural designs because of the different characteristics of temperature fields within long-span spatial structures. Therefore, performance-based design methods have been used for the fire resistancedesigns of long-span spatial structures. In a performance-based fire resistance design, a fire model is established for specific structures. Changes in the air and structural temperature fields are simulated and calculated, considering a variety of material characteristics with different temperatures. The temperature field within a large space structure is different from that a frame building. Therefore, the standard temperature-time curve is not suitable to represent the temperature distribution within large space structures. Some researchers have carried out a study on the temperature field of long-span spatial structures during a fire. The overall mechanical performance of structures in real fire scenarios has also been studied [1; 2]. [PERSON] and [PERSON] [3] have put forward a new temperature curve for large structures based on an experimental and numerical analysis. [PERSON] [4] has proposed a new formula for the calculation of air temperature in large structures on fire. [PERSON] [5] has proposed a temperature field model considering the fire source, smoke plumes, and smoke layers to predict the temperature distribution within structures on fire (based on how fires develop) using a Fire Dynamics Simulator (FDS) [6]. The models and analysis mentioned can more accurately simulate the temperature distribution of the fires within large space structures. However, these simulations and models do not take the cooling process of a fire into consideration. Currently, the researches on the structural response of large space steel reticulated shell structures under real fire scenarios are still limited, especially considering whole heating-cooling process. There have been some studies on the structural responses and performance-based design methods of fire in long-span spatial structures. [PERSON] et al. [7] have conducted full-scale experiments on two steel truss structures. A finite element model for predicting the fire resistance capacity of long-span truss structures has also been established [8]. [PERSON] [9] has analyzed the fire resistance performance of a long-span flat steel arch and thereafter suggested certain fire resistance designs.