© 2021, The Author(s), under exclusive licence to Springer Nature B.V.The fragility curves are known as an efficient probabilistic-base tool used to evaluate vulnerabilities in various fields. However, accurate access to these curves has always been associated with complexities that have made it difficult for structural designers to achieve. Many attempts have been made to provide a new fragility function using State-based philosophy (SBP) theory to replace the conventional fragility function in recent years. A method in which gradual changes in structural properties due to a destructive factor is generally used to ultimately create a function with a new structure to describe the structure's fragility. In this study, after the usual method of obtaining the fragility curve is briefly reviewed, the new structure proposed for the fragility function by SBP will be explained. A completely new technique will then be introduced using a combination of selected (and not complete) information from the usual incremental dynamic analysis method in the SBP fragility function. The result is a fragility curve with perfectly acceptable accuracy that computational efforts to achieve have been dramatically reduced. This claim's validity is examined by performing this technique on some two-dimensional special moment frames models, and its advantages and disadvantages and accuracy are further explored.