When solving the problem of ensuring the mechanical safety of buildings and structures according to GOST 27551-2014 “Reliability of building structures and foundations. Basic provisions” it is allowed to apply a risk-oriented approach. A mandatory stage of this approach is the forecast of the expected accident risk situation of the facility. Due to the fact that the current regulatory documents on risks do not reflect all the features of the stress-strain state of building structures and foundations of buildings and structures during the operation of structures and, therefore, do not allow for a sufficiently accurate assessment of the safety of structural systems, risk assessment for building structures is a very relevant scientific and technical problem.

Keywords: building, building structures, design, destruction, safety, accident risk, risk assessment, risk management, monitoring and risk analysis

The article is devoted to the development of numerical methods for determining the position of the center of gravity and the static stability margin of an aircraft in flight. To perform the calculations, a number of mathematical models were developed. Based on the analysis of the motion of an aircraft as a rigid body, numerical methods for determining the position of the center of gravity are synthesized and their errors are calculated. Comparison of the errors of various methods made it possible to conclude that it is expedient to use a method based on the use of information on the fuel reserve.

Keywords: simulation of the position of the center of gravity, numerical analysis of the position of the center of gravity, moments of inertia of the aircraft, free oscillations, fuel consumption.