Pipeline fluid volume
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Barlow’s Formula is a crucial calculation in pipeline engineering, widely used to analyze the relationship between internal pressure, allowable stress (hoop stress), nominal wall thickness, and outside diameter. This formula is invaluable for determining the maximum pressure capacity that a pipe or pressure vessel can safely withstand, ensuring compliance with safety standards and optimal performance in applications across industries like oil and gas, chemical processing, and water distribution systems.
P = (2 * S * t) / D
Where P is Pressure (psi or psig), S is allowable stress (psi), which can vary depending on the purpose, such as Yield Strength (SMYS) or Tensile Strength (SMTS), t is nominal wall thickness (in inches), and D is outside diameter (in inches)
• Hoop Stress: The circumferential stress in a pipe wall caused by internal pressure, calculated using:
H = (P * Dm) / (2 * t)
Where H is hoop stress, P is pressure, Dm is the mean diameter, and t is the wall thickness.
• Internal Pressure at Minimum Yield Strength (SMYS): Evaluates the minimum yield pressure for the grade of the pipe.
• Ultimate Bursting Pressure (SMTS): Determines the pressure that will cause the pipe to fail due to tensile strength limits.
• Maximum Allowable Operating Pressure (MAOP): Accounts for a design factor to determine the safe operational pressure of the pipe.
• Mill Hydrostatic Test Pressure: Used for testing pipe strength in manufacturing, factoring in a design reduction.
Our Barlow’s Formula Calculator simplifies these complex calculations, helping you quickly and accurately determine:
• The burst pressure or yield pressure of pipelines.
• The safe operational limits for pipes in your projects.
• The right specifications for pipes to meet design and safety standards.
| SCHEDULE 5S | SCHEDULE 10S | SCHEDULE 40S | SCHEDULE 80S | ||||||
|---|---|---|---|---|---|---|---|---|---|
| Nominal I.P.S. (in.) | Nominal O.D. (in.) | Wall (in.) | Pressure (p.s.i.) | Wall (in.) | Pressure (p.s.i.) | Wall (in.) | Pressure (p.s.i.) | Wall (in.) | Pressure (p.s.i.) |
| 1/8 | 0.405 | 0.049 | 18150 | 0.068 | 25175 | 0.095 | 35175 | ||
| 1/4 | 0.54 | 0.065 | 18050 | 0.088 | 24450 | 0.119 | 33050 | ||
| 3/8 | 0.675 | 0.065 | 14450 | 0.091 | 20225 | 0.126 | 28000 | ||
| 1/2 | 0.84 | 0.065 | 11600 | 0.083 | 14825 | 0.109 | 19475 | 0.147 | 26250 |
| 3/4 | 1.05 | 0.065 | 9275 | 0.083 | 11850 | 0.113 | 16150 | 154 | 2200 |
| 1 | 1.315 | 0.065 | 7425 | 0.109 | 12450 | 0.133 | 15175 | 0.179 | 20425 |
| 1 1/4 | 1.66 | 0.065 | 5875 | 0.109 | 9850 | 0.14 | 12650 | 0.191 | 17250 |
| 1 1/2 | 1.9 | 0.065 | 5125 | 0.109 | 8600 | 0.145 | 11450 | 0.2 | 15800 |
| 2 | 2.375 | 0.065 | 4100 | 0.109 | 6875 | 0.154 | 9750 | 0.218 | 13775 |
| 2 1/2 | 2.875 | 0.083 | 4325 | 0.12 | 6250 | 0.203 | 10600 | 0.276 | 14400 |
| 3 | 3.5 | 0.083 | 3550 | 0.12 | 5150 | 0.216 | 9250 | ||
| 3 1/2 | 4 | 0.083 | 3100 | 0.12 | 4500 | 0.226 | 8475 | ||
| 4 | 4.5 | 0.083 | 2750 | 0.12 | 4000 | 0.237 | 7900 | ||
| 5 | 5.563 | 0.109 | 2950 | 0.134 | 3625 | 0.258 | 6950 | ||
| 6 | 6.625 | 0.109 | 2475 | 0.134 | 3050 | 0.28 | 6350 | ||
| 8 | 8.625 | 0.109 | 1900 | 0.148 | 2575 | 322 | 5600 | ||
| 10 | 1.75 | 0.134 | 1875 | 0.165 | 2300 | 0.365 | 5100 | ||
| 12 | 12.75 | 0.156 | 1825 | 0.18 | 2125 | 0.375 | 4400 | ||
| 14 | 14 | 0.156 | 1675 | 0.188 | 2025 | ||||
| 16 | 16 | 0.165 | 1550 | 0.188 | 1775 | ||||
| 18 | 18 | 0.165 | 1375 | 0.188 | 1575 | ||||
| 20 | 20 | 0.188 | 1400 | 0.218 | 1625 | ||||
| 24 | 24 | 0.218 | 1375 | 0.25 | 1550 | ||||
| 30 | 30 | 0.25 | 1250 | 0.312 | 1550 | ||||
It evaluates the relationship between internal pressure, allowable stress, wall thickness, and diameter to ensure pipe safety and performance.
Barlow’s Formula is primarily used for line pipes, particularly in oil and gas, water systems, and industrial pipelines.
Hoop stress refers to the circumferential force exerted in a pipe wall due to internal pressure. It is a critical factor in determining a pipe’s capacity to resist bursting.
Use our Pipeline Fluid Volume Calculator and Pressure Vessel Stress Calculator to analyze the performance and safety of your designs with precision and ease.
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