Maximum Allowable Working Pressure Calculator, Formula, Maximum Allowable Working Pressure Calculation

Maximum Allowable Working Pressure Calculator:

Enter the values of yield strength of the material, Y_(Pa), design factor, Fd, Joint efficiency factor, Fj, Temperature factor, Ft, wall thickness of the vessel, t_(m) and internal diameter of the vessel, d_(m) to determine the value of Maximum Allowable Working Pressure, MA_p(Pa).

Maximum Allowable Working Pressure Formula:

Maximum Allowable Working Pressure (MAWP) is a crucial engineering term that signifies the highest pressure at which a vessel or pipeline can safely operate under specific conditions. This value is determined by considering various factors, including material strength, design temperature, and safety standards.

Yield Strength: A material with a higher yield strength can withstand more pressure before deforming.

Design Factor: This factor introduces a safety margin to account for uncertainties and variations in material properties.

Joint Efficiency: This factor considers the reduction in strength due to joints and connections.

Temperature Factor: This factor accounts for the effect of temperature on material strength.

Wall Thickness: A thicker wall can withstand higher pressures.

Diameter: A larger diameter vessel generally requires a higher pressure to achieve the same internal pressure.

Maximum Allowable Working Pressure, MA_p(Pa) in Pascals is calculated by dividing the product of twice the yield strength of the material, Y_(Pa) in Pascals, design factor, Fd, Joint efficiency factor, Fj, Temperature factor, Ft and wall thickness of the vessel, t_(m) in metres by internal diameter of the vessel, d_(m) in metres.

Maximum Allowable Working Pressure, MA_p(Pa) = 2 * Y_(Pa) * Fd * Fj * Ft * t_(m) / d_(m)

MA_p(Pa) = Maximum Allowable Working Pressure in Pascals, Pa.

Y_(Pa) = yield strength of the material in Pascals, Pa.

Fd = design fator.

Fj = joint efficiency factor.

Ft = temperature factor.

t_(m) = wall thickness of the vessel in metres, m.

d_(m) = internal diameter of the vessel in metres, m.

Maximum Allowable Working Pressure Calculation:

1. Finding the MAWP:

Y_(Pa) = 400MPa, Fd = 0.8, Fj = 0.85, Ft = 0.9, t_(m) = 0.015m, d_(m) = 1.5m.

Maximum Allowable Working Pressure, MA_p(Pa) = 2 * Y_(Pa) * Fd * Fj * Ft * t_(m) / d_(m)

MA_p(Pa) = 2 * 400 * 10⁶ * 0.8 * 0.85 * 0.9 * 0.015 / 1.5

MA_p(Pa) = 7344000 / 1.5

MA_p(Pa) = 4896000Pa.

2. A pressure vessel must withstand a maximum allowable working pressure of 2.5 MPa. The material’s yield strength is 350 MPa, the design factor is 0.75, the joint efficiency factor is 0.9, and the temperature factor is 0.95. The vessel’s internal diameter is 1.2m. Determine the required wall thickness.

Y_(Pa) = 350MPa, Fd = 0.75, Fj = 0.9, Ft = 0.95, MA_p(Pa) = 2.5MPa, d_(m) = 1.2m.

Maximum Allowable Working Pressure, MA_p(Pa) = 2 * Y_(Pa) * Fd * Fj * Ft * t_(m) / d_(m)

t_(m) = MA_p(Pa) * d_(in) / 2 * Y_(Pa) * Fd * Fj * Ft

t_(m) = 2.5 * 10⁶ * 1.2 / 2 * 350 * 10⁶ * 0.75 *  0.9 * 0.95

t_(m) = 3000000 / 449437500

t_(m) = 0.00668m.