These plots indicate just one of the many forms a structural analysis can take. The basic steps are: modelling of the 3-D form and geometry, description of structure, application of loads, analysis of results, corrective actions, reporting.
It is usually easiest and best to start by checking the midship area to get a "quick-and-dirty" idea of the structural proposals. The traditional color scales make it easy to identify problem areas relative to each other, and it is then possible to look at particular elements in detail, for example stress levels and possible failure modes.
Of course it is possible to separate plate-stiffeners and frames-girders separately in the plots. And again to check first the relative effectiveness of structural members, and then to look at particular elements in detail.
In a relatively complex vessel, there may be many load conditions to consider. These can be checked against each other. But it is a huge simplification from all this data to be able to find out which loadcase and failure mode is critical for a particular element.