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Barlow's formula calculates the hoop stress in a thin-walled tube under internal pressure, and is the basis for determining minimum wall thickness:
t = (P * OD) / (2 * S)
Where: t = wall thickness, P = internal pressure, OD = outside diameter, S = allowable stress
The theoretical burst pressure is calculated using the material's ultimate tensile strength:
P_burst = (2 * UTS * t) / OD
Where UTS = ultimate tensile strength of the material
Hydraulic systems typically use a 4:1 safety factor (working pressure = burst pressure / 4):
Calculate minimum wall thickness for hydraulic tubing using Barlow's formula with safety factors.
| OD | Wall | ID | Working @ 4:1 |
|---|---|---|---|
| 3/8" | 0.035" | 0.305" | 6,533 psi |
| 1/2" | 0.035" | 0.430" | 4,900 psi |
| 1/2" | 0.049" | 0.402" | 6,860 psi |
| 5/8" | 0.049" | 0.527" | 5,488 psi |
| 3/4" | 0.049" | 0.652" | 4,573 psi |
| 3/4" | 0.065" | 0.620" | 6,067 psi |
| 1" | 0.049" | 0.902" | 3,430 psi |
| 1" | 0.065" | 0.870" | 4,550 psi |
| 1" | 0.083" | 0.834" | 5,810 psi |
| 1-1/4" | 0.065" | 1.120" | 3,640 psi |
| 1-1/2" | 0.065" | 1.370" | 3,033 psi |
| 1-1/2" | 0.083" | 1.334" | 3,873 psi |
Based on carbon steel with 70,000 psi UTS and 4:1 safety factor
| Material | UTS (psi) | Yield (psi) | Notes |
|---|---|---|---|
| Carbon Steel (A513) | 70,000 | 50,000 | Most common |
| 304 Stainless | 75,000 | 30,000 | Corrosion resistant |
| 316 Stainless | 75,000 | 30,000 | Marine/chemical |
| Aluminum 6061-T6 | 45,000 | 40,000 | Lightweight |