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This work details some methodologies applied for analysis of the seismic behaviour of bottom supported storage tanks, under predominantly horizontal seismic actions. Developments on the established finite element method (FEM), permitted to analyse tanks and their liquid contents by two possible approaches: Ritz method coupled with FEM applied to an analytical solution of the tank-liquid system; FEM of the full system by modelling the liquid as a degenerated solid. Both formulations permit to determine seismic response envelopes