This paper presents a model method for predicting the immediate and time‐dependent strains and stresses in concrete structures with or without prestressing. The time‐dependent parameters that enter the analysis include creep and shrinkage of concrete and relaxation of the prestressing reinforcement. The method is based on analysis of strain distribution in individual sections by satisfying equilibrium and compatibility. The method presented is comprehensive; it applies to concrete structures reinforced with steel or fibre‐reinforced polymers, and to composite sections comprising concrete and structural steel parts. Calculation of the central deflection and end rotations of a straight member from curvature values at a number of equally spaced sections is illustrated. Available computer programs for use in the time‐dependent analysis are briefly described. The analysis steps are demonstrated by a flowchart and by numerical examples. The model analysis is verified by comparisons with published experimental results. Copyright © 2003 John Wiley & Sons, Ltd.