The main architectural landmark of the city of Nalchik, the capital of the Kabardino-Balkarian Republic, is the building of the Sosruko complex, distinguished by its unusual architecture and built in the 70s of the 20th century. The authors of the article turned to the symbol of the city because it is 55 years old and is a unique architectural ensemble. Sosruko is a wonderful monument of brutalist architecture that is visible from every corner of the city. This is evidenced by well-deserved awards and prizes for the originality of the design. Thanks to such buildings, which influence the image of the city, the architecture of the native land will not be the same and faceless. In our time, talented builders and architects should raise issues of preserving architectural heritage, and also remember the best works of architects who have made an invaluable contribution to the development of the construction industry of the Republic of Kabardino-Balkaria.

Keywords: architecture, construction, Kizilovka, Nartiya, Sosruko, Nart epic, ensemble, chairlift route, mountain slope, loose soil rocks

The authors, having examined the main buildings, structures, and amenities located on Lenin Avenue in the capital of the Kabardino-Balkarian Republic, showed that, although there are almost no old buildings of the pre-revolutionary era in the Ciscaucasian city, it is rich in architectural objects in the pleasant, unpretentious Stalinist Empire style. Nalchik can be called a classic city in the mountains. The peculiarity of the city is a wide and spacious avenue with a high level of greenery, with a high level of improvement. This is the central and longest street in the city. The length is more than five kilometers. Lenin Avenue is an important landmark, which is essential for the city for the normal life of modern society. The center of the capital was formed around the avenue, where squares, residential buildings and public buildings, various establishments, recreation areas, as well as interesting architectural objects are concentrated. Prospect Lenina can be proudly entered into the register of cultural heritage objects as it meets the requirements for classic avenues.

Keywords: architecture, construction, master plan, rectangular grid of streets, wind rose, height above sea level, avenue, town-planning object, building, restoration, square, residential buildings, columns, towers, stucco capitals, Stalinist Empire style, baroque

Traditional analytical methods for determining critical forces lead to difficult solutions of transcendental equations, therefore they are not universal and are ineffective for rods with complex design schemes. The proposed numerical-graphical method for determining critical forces, can be easily adapted to complex non-classical problems.

Keywords: Euler problem, rod, critical force, stability, differential equations, boundary conditions, finite difference method, eigenvalues

Investigation of the stability of rectilinear rods, determination of critical loads, determination of eigenvalues ​​and forms using numerical methods and modern software.

Keywords: The stability, critical force, differential equations, square matrix, distributed load, rod of variable cross-section, bending moment, lateral force, moment of inertia