As it is widely known that any knowledge domain takes its development path from the empirical stage to the stage of the scientific theory. This process is distinguished by addressing the essential for practice factors, which, in their turn, appeal to development of the theories. These factors are generality, well-grounded quantitative analysis, ability to predict new facts and economic efficiency. The theory generality allows to ascertain inherent unity between broad range of phenomena, which previously might have seemed as independent and incompatible. As a consequence, this feature might provide explanatory ability to the general theory, the mastering of which leads to higher knowledge state – understanding of phenomena physical essence. This understanding reveals the connection between different phenomena and promotes other useful knowledge state – the better remembering them. But the most important practical merit of general theory is its applicability to the multitude of various types of problems. A more profound understanding and better knowledge keeping together with possibility of resolving the multi-subject problems can lead to, in practical aspects, to situation when it will be evident that the general theory mastering and its application will be more feasible and expedient as well as be much easier rather than applying multitude of spesific empiric designs. Mathematization of scientific theory as application of mathematical concepts and methods allows to conduct quantitative analysis of studied phenomena in considered systems. The significantly high mathematical level is inalienable feature of general theory, which demands from its users sufficient knowledge of certain mathematical apparatus, that, in its turn, may cause some difficulties for the users. Nowadays the general way of overcoming these difficulties resides in applying computing technics and corresponding software.This certainly requires engagement of resources with IT knowledge expertise. Therefore, when the general theory has been developed, it is necessary to take care of working out quite simple algorithms and practical methods for problems resolution which should be available for use among designers and students. Those methods may be even «manual» or addressed by the simple software application. The prediction ability of the general theory, i.e. its ability to reveal the new previously unknown facts and phenomena, is caused by its generality, profundity and connections revealed between different phenomena. Thus, for instance, our research of the concrete truncated wedges strength above dangerous inclined crack (DIC) of the RCE under joint action of M and Q [13 – 15] has shown, on the basis of tests and Plasticity Theory, that in principle there can be no single analytical relationship for ultimate shear force Qc in the concrete failure zone above DIC compressed end, because Qc depends on longitudinal compressive force Nc in concrete failure zone so that with ratio Qc/Nc change the local kinematic concrete failure scheme together with the relationship Qc=f(Nc,…) also change by the leap. Nevertheless, as it is known, the researchers aspired to obtain a single formula for Qc determination for decades. The economic efficiency of the general theory is evoked by its higher exactness, well-grounded quantitative analysis as well as growing possibility for system (structure) optimization on the basis of the suitable mathematical methods.