The manual describes modern highly efficient matrix methods for calculating complex core systems under the influence of static loads. On specific sample examples, the features of the use of these methods are analyzed in detail, on the basis of which the corresponding block diagrams of the algorithms for the implementation of each of these methods and the corresponding computer programs in the Turbo Pascal language and in the Mathcad. system are developed. In order to consolidate the material at the end of the training manual, tasks for self-fulfillment are offered. The manual is intended for senior students of construction and engineering specialties of universities, continuing in-depth study of certain sections of strength disciplines and interested in the use of computers in technical calculations. The developed programs and methods of carrying out specific calculations can be useful in the implementation of NIRS, term and diploma design