This work has as its main goal to calculate and discuss the considerations needed to guarantee the physical integrity of pipelines in offshore oil exploitation, which are constantly submitted to high pressure. To do so, this study was based on ASME VIII DIV I standards for pressure vessels (as the pipelines are structures containing liquids or gases while submitted to pressure) as well as ASME 31.3 standards to determine the thickness of pipeline wall, and API RP 1111 to verify if the required value of thickness obtained is adequate to the conditions specified for the design. Also, this work contemplates a study of different the failure modes to which pipelines are submitted while operating, as well as the methods employed to estimate their respective critical pressure condition that may lead to the structural. Therefore, the reliability of the results obtained for the critical condition and for the maximum operational pressure was evaluated and validated using the commercial software PV Elite, as well as by finite element method through the software Ansys. Through this validation, it was possible to conclude that the methodology adopted for the design methodology resulted in a safe and adequate structure for its application.