In this paper, we outline a hierarchical hybrid finite element method software for analysing static and dynamic behaviour of engineering structures in two or three dimensions, and demonstrate its application to a large-scale structure. The Accurate Large-scale Structural Analyses software, called ALSA, has been created as a general system based upon a computationally efficient formulation of hybrid stress type FEM with an element library covering 3D truss and beam, 2D triangular and rectangular membrane and plate bending, besides singly and doubly curved shells. Automatic generation of exact stiffness and mass matrices has been conceived through specific algorithms, which permit construction of the exactly integrated matrix coefficients explicitly, with attendant reductions in algebraic operations, core requirements and CPU times. The computer results suggest ALSA as a valuable design tool, with regard to its high accuracy, computational simplicity and cost effectiveness, particularly for the repeated analyses required to establish optimal structural proportions during various stages of design.