Reduced order modeling for nonlinear geometric vibrations of thin-walled structures has been an active research subject in the last two decades due, in particular, to its advantage in significantly reducing the computational cost of determining the dynamic response. Two key issues of this modeling are the construction of the basis and the identification of nonlinear stiffness coefficients. The present study focuses on the basis construction and a systematic strategy is proposed to achieve it using data derived from the linear modes of the structure with some general information about the dynamic loading, e.g., cut-off frequency. Thus, the basis is applicable to a broad range of such dynamic loadings. A clamped-clamped straight beam is used to demonstrate the construction of bases according to the proposed strategy. A force distribution mapped from measured aerodynamic pressure distribution is used as loading for which both static and dynamic nonlinear responses are obtained at various levels, from weakly to very strong nonlinear, and from both finite element and reduced order models. This data is used to assess the constructed bases and validate the predictions of the ensuing reduced order models. It is shown that the constructed bases provide a very good representation of the finite element nonlinear structural responses and that the corresponding reduced order model lead to accurate predictions of these responses. The importance of adding out-of-band linear modes in the basis is also demonstrated.