Abstract
In the framework of the random number theory, a mathematical model describing gas pipeline nonfailure reliability according to crack growth resistance criterion when the crack resistance of the pipe steel, the operation pressure of the cargo gas, the diameter and wall thickness of the pipe, the Poisson ratio, the linear expansion coefficient of the pipe metal, the Young modulus, and the temperature drop through the wall are all distributed according to the normal distribution law, has been obtained. The permissible value of the mathematical expectation of the longitudinal crack length has been found under which the standard reliability and safe operation of a defect segment of a gas pipeline is guaranteed.
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