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This contribution is carrying similar title as former published two ones [1,2] , as until today there is some discussion about relationship of numerical simulation a experiment during structure construction,. What is better and what is more trustworthy. Looking at motto we see that any of the separate application cannot fulfill recent requirements for high quality, warranted life time and lower mass of structures together with economic approach (short term of design).

A study of the use of deterministic fatigue life prediction methods for a set of multiaxial experimental data on broad‐band random loading applied to a tubular specimen with a hole is presented. There is a discussion of the applicability of stress‐based predictions and strain‐based predictions based on the linear cumulative rule under current conditions. The only feasible criteria finally chosen for the application are strain‐based methods for analysing the fatigue life until fatigue crack initiation. Several methods differing in the damage parameter and application of the mean stress effect (MSE) are evaluated. The MSE is optimised so that a comparison of the predicted and experimental data have the least scatter and similar mean values. The results are presented, and the most promising method (by Erdogan and Roberts) has been selected. The positive properties of Walker mean stress correction and the failure of SWT and Landgraf methods are commented on.