IntroductionThe deflection analysis of multi-storey frameworks has a long history. The mathematical problem of a cantilever composed of a number of parallel beams interconnected by cross bars (i.e., frameworks, using today's terminology) was presented and solved as early as in 1947 in a brilliant paper [Chitty, 1947]. Chitty and Wan [1948] then applied the method to tall buildings under wind load. However, the applicability of the original method was considerably restricted as they neglected the effect of the axial deformation of the columns. Numerous methods were then published, amazingly unaware of Chitty's efforts, both for individual frameworks or coupled shear walls [Csonka, 1950;Beck, 1956; Ligeti, 1974; Szmodits, 1975;Szerémi, 1984] and also for wall-frame buildings [Rosman, 1960; MacLeod, 1971; Despeyroux, 1972; Council, 1978;Stafford Smith et al., 1981; Goschy, 1981; Hoenderkamp and Stafford Smith, 1984; Taranath, 1988; Coull, 1990;Schueller, 1990;Coull and Wahab, 1993]. The most comprehensive treatment, perhaps, is to be found in the excellent textbook by Stafford Smith and Coull [1991] where a whole chapter is devoted to individual frameworks and another chapter deals with symmetric wall-frame buildings. Most of the methods, however, are too complicated, even as approximate methods, or neglect one or more significant phenomena in order to be able to offer relatively simple solutions. Furthermore, none of them are backed up with a comprehensive accuracy analysis and, as a result, their applicability is not possible to establish for practical structural engineering problems. Some are based on the equivalent column approach and use a procedure whereas the characteristic stiffnesses are simply added up for the analysis. This approach -although perfectly legitimate for stability and frequency analyses -is not acceptable for the deflection analysis, as it will be demonstrated in this paper. All the above shortcomings were addressed in a recent paper [Zalka, 2009] which offered a closed-form solution for the deflection of symmetric buildings. However, that solution is still fairly complicated and, as it will be shown later on, its accuracy can significantly be improved.