Structures lying in close proximity experience multi-body dynamics, the impact phenomenon of which is known as pounding. This may lead to deck-unseating or in-plane deck rotation, phenomenon usually observed during high seismic activities. This leads to the important aspect of calculating the possibility of stick and slip to understand the safety of the design. The calculation is carried out by employing a linear complementarity in both the linear and tangential directions for observing the interaction between the two decks, which are considered to be rigid. The various conditions of the pre-impacting parameters, for all the possible stick-stick combinations, in the case of single impact are analytically determined. It is observed that the rotational potential of the deck, in-plane, is present for curved bridges having S-type configuration and needs to be considered while designing.