The objective of this study was to suggest a response-analysis framework for railway tracks subjected to braking. An analytical formulation was developed, in which the rail-track system was modeled as an infinite beam supported by an orthogonal Winkler foundation consisting of linear springs in perpendicular directions. The spring constants were varied over a wide range in order to represent different track types. Braking loads were simulated as representative sets of vertical and longitudinal forces, either concentrated or distributed. Considering a realistic set of model parameters, the approach was demonstrated by evaluating track responses for a single axle and for a full train. The computations included determination of axial rail stresses, forces at the base of a sleeper, and the associated friction demand required to resist longitudinal slippage. Based on these analyses, it is concluded that longitudinal track responses have a much longer influence zone compared to vertical track responses. This implies that calculations involving a full train must be done on a case-by-case basis, i.e., they cannot be deduced from a single axle analysis. It is also found that high values of friction demand may develop at the sleeper bases-indicating possible slippage. Overall, the proposed formulation provides a highly adaptable and easily implementable first-order mechanistic tool for analysis of track responses to decelerating vehicular loads.