The textbook gives an exposition of the elements of mechanics of destruction, starting with the conclusion of the main relations of the theory of elasticity . The problems of stress concentration and crack theory for flat and anti-flat problems of elasticity theory. are considered. Examples of problem solving for independent work. To study the teaching aid, knowledge of the mathematics course in the scope of the technical university program is required. The textbook is intended for students of specialty 1-52 02 01 "Technology and equipment of jewelry production", engaged in strength calculations . The proposed material is a theoretical basis for solving problems and individual homework tasks according to the calculations of the strength of structural elements.