As part of the six‐lane widening of the Autobahn A1, the existing Einsiedelstein viaduct had to be partially rebuilt. The arch viaduct was originally built in 1938. The design used finite element calculations carried out assuming non‐linear material behaviour of the fill concrete and the arch masonry for the loadings of the DIN Specialist Report “Actions on Bridges”. The calculation methods used enable realistic modelling of the load bearing behaviour of historic masonry structures at the limit states of load bearing and serviceability. The results of the calculation served as the basis for the selection of sustainable measures for the partial rebuilding of the arch viaduct.