Abstract

In the framework of random number theory, a mathematical model describing the reliability of an elastically curved segment of a gas pipeline according to a crack growth resistance criterion for the case where the physicomechanical characteristics of the pipe steel, fracture strength, gas pressure, temperature drop through the wall, and radius of the elastic curve are distributed according to a normal (Gaussian) law is developed. According to this data we find the permissible sizes of cracklike defects under which the safety of operation and residual rated lifetime of potentially dangerous segments of a gas pipeline are guaranteed.

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