Which formula can be used to compute the MAWP?

The formula used to compute the Maximum Allowable Working Pressure (MAWP) is crucial for ensuring that pressure vessels or boilers operate within safe limits. The correct formula reflects the appropriate relationships among the material strength, thickness, efficiency, and any safety factors involved in the design of a vessel.

The first formula encompasses several significant variables: TS (tensile strength of the material), T (thickness of the vessel), E (joint efficiency), R (radius of the vessel), and FS (a safety factor). By utilizing these factors, the formula provides a comprehensive calculation that accounts for the inherent material properties and any safety margins needed.

In this context, the tensile strength indicates how much pressure the material can withstand, thickness contributes to the vessel's ability to hold pressure, joint efficiency describes the effectiveness of the seams, radius pertains to geometric considerations, and the safety factor ensures that the calculated MAWP is reliable under various operating conditions.

This formula integrates these factors in a way that allows engineers to determine the highest pressure that can be safely sustained under normal operating conditions. Thus, it is fundamentally aligned with the engineering principles of design safety and material capability.