Algorithm to Estimate the Capacity Reserve of Existing Masonry Arch Railway Bridges

Most railway masonry arch bridges were designed according to codes that predate the 1950s; therefore, assessing their load‐carrying capacity to comply with current codes is of the utmost importance. Nonetheless, acquiring the necessary information to conduct in‐depth analyses is expensive and time consuming. In this article, we propose an expeditious procedure to conservatively assess the Load Rating Factor of masonry arch railway bridges based on a minimal set of information: the span, rise‐to‐span ratio, and design code. This method consists in applying the Static Theorem to determine the most conservative arch geometry compatible with the original design code; assuming this conservative geometrical configuration, the load rating factor, with respect to a different design load, is estimated. Using this algorithm, a parametric analysis was carried out to evaluate the Load Rating Factor of old arch bridges in respect of the modern freight load of the Trans‐European Conventional Rail System, for different spans, rise‐to‐span ratios, and original design codes. The results are reported in easy‐to‐use charts, and summarized in simple, practical rules, which can help railway operators to rank their bridges based on capacity deficit.