Currently, for efficient transportation of liquefied gas, there is a need for the development of this industry, namely the development of transport schemes for the delivery of liquefied gas. The advantage of transporting liquefied gas by pipeline is high productivity and throughput at small diameters. The work is devoted to the issue of the possibility of transportation of associated petroleum gas in liquefied form through a main cryogenic pipeline from oil fields remote from the center of industry, namely, the issue of strength calculation. The main difficulty of building a cryogenic pipeline is the huge temperature difference between the transported liquefied gas and the environment, since the pipeline will experience dangerous tensile and compressive longitudinal stresses from the temperature difference. The purpose of the study is to determine the effect of the load from the temperature difference on the cryogenic pipeline, optimizing the selection of the optimal elastic bending to maintain the strength and stability of the structure. Also determination of compensation parameters from longitudinal tensile and compressive stresses by means of rectilinear above-ground section of cryogenic pipeline with slightly bent compensation section. To perform strength calculation in this work, a modern software complex of the Ansys finite-element analysis system is used. The main task in strength calculation is to determine and optimize the design parameters under which the condition of double safety factor of the cryogenic pipeline will be met when exposed to loads from the temperature difference. To solve this problem, in the design environment of Ansys, a model was developed using the finite element method, elastically curved section of sections of the main cryogenic pipeline rigidly fixed in the units of the shutoff valves installation, as well as the compensation section. As a result of the study, permissible elastic bending radius were determined, refined calculations of wall thicknesses for various sections of the main cryogenic pipeline with a varying temperature difference during the transportation of liquefied associated petroleum gas were given. The design of the compensating section and its calculation for the most responsible section of the main cryogenic pipeline are selected.