Robustness Assessment of an Ancient Timber Roof Structure

During the last decades, it has become a usual practice to replace ancient timber roof structures by concrete or steel roof structures. Despite the durability of ancient timber, the lack of knowledge about how to reinforce or retrofit timber structures may have resulted in their disuse. However, the main reason may be attributed to the difficulty in assessing the real condition of timber frames while respecting the level of conservation. Within that scope, two timber collar trusses dating back to more than a hundred years were transferred  from the Laboratório Chimico in Coimbra (Portugal) and tested up to failure in the structural laboratory of the University of Minho. According to the test results using non-destructive techniques, it was possible to develop different probabilistic analyses considering both exterior and residual cross-sectional dimensions. In this work, a robustness assessment is performed considering the spatial distribution of the strength of timber elements and also the variability of the stiffness of the connections. Permanent loads, snow load and wind load variability were considered for the structural safety analysis according to the provisions of the Joint Committee on Structural Safety. The robustness index was obtained based on the reliability indices of the intact and damaged roof structure, considering the geometric variation obtained for the exterior and residual cross sections respectively. Crude Monte-Carlo simulation method was used here to estimate the probabilities of failure of the structural system. The comparison between different imposed damage scenarios covering loss of bearing capacity of connections and timber frames is finally presented.