## 1 Introduction  
As a key hub of the transportation network, bridges play an essential role in social and economic development. Among them, simply supported T-beam bridges have been widely used owing to their advantages of low construction cost and simple construction. Additionally, they have a typical beam-grid structure. This kind of bridge has a simple structure for theoretical analysis [1, 2, 3]. However, simply supported T-beam bridges are inevitably influenced by disadvantageous environmental and vehicle load factors during their service life. Reinforcement corrosion caused by chloride erosion is one of the main degeneration types [4, 5] that can reduce the vertical and horizontal load-bearing and seismic capacity of bridges under service conditions [6, 7]. The bearing capacity and stiffness of T-beams severely decrease with the increase in reinforcement corrosion degree, which poses a serious threat to the safety of people's property and normal traffic [8]. Therefore,it is of great significance for research on bridge maintenance strategies and guaranteeing normal traffic to improve the accuracy of the bridge degradation prediction model and reliability assessment. Special attention is focused on the reliability assessment of corroded reinforcement bridges considering bridge inspection, which is an essential part of civil infrastructure maintenance. The oxidation/reduction reaction caused by environmental chloride erosion is a mechanism of reinforcement corrosion [9]. With the development of research on this topic, the chloride diffusion model based on Fick's second law has been modified and verified according to the study of laboratory-accelerated and field tests [10; 11]. Using electrochemical techniques, the influence of reinforcement microstructure on corrosion behavior was analyzed [12]. Reinforcement steel corrosion not only leads to steel quality loss and section area reduction but also reduces the reinforcement strength and the bond strength between concrete and reinforcement steel, which further results in the reduction of bearing capacity [13; 14]. Combined with the analysis of shrinkage, creep, and deterioration of concrete, the adverse effects of steel corrosion and structural deterioration on the reliability of simply supported bridges were clarified [15; 16; 17]. Furthermore, the time-dependent bearing capacity was predicted based on the degradation model, which considered reinforcement corrosion, concrete, and structural deterioration as the main influencing factors [18]. In addition, time-dependent reliability and life prediction methodologies for bridge components and systems were developed by considering the uncertainties of environmental factors and geometric dimensions [19; 20; 21]. The seismic performance assessment of corroded reinforcement bridges was analyzed by the finite-element model and nonlinear material model [22]. A time-dependent sensitivity analysis was adopted to evaluate the chloride ingress model and bridge performance [23]. Accurate evaluation of bridge state was achieved by analyzing bridge safety and serviceability reliability of bending resistance, shear resistance, and deformation. [PERSON] et al. predicted reinforcement corrosion caused by chloride ingress and analyzed the effect of corrosion on bridge serviceability [24]. However, the above studies only focused on the relationship between performance degradation and bridge reliability without considering the influence of structural deterioration on vehicle load effect. Utilizing the weigh-in-motion system, a reliability calculation method with LLD, number of lanes, and vehicle axle load was proposed [25; 26; 27]. The maintenance strategy can be drawn up with time-dependent reliability, which is improved by the influence of structural resistance and load on reliability [28]. However, reinforcement corrosion of aging simply supported T-beam bridges not only results in bridge resistance reduction but also changes the load-bearing effect of each beam.