# Barlow's Formula

on . Posted in Fluid Dynamics

Barlow's formula, abbreviated as Ba, relates to burst pressure, the point just before or at when a pipe or tubing fails under pressureThis formula is used to calculate the maximum allowable pressure (or stress) in a thin walled cylindrical pressure vessel, such as a pipe or tube.  It is commonly employed in engineering and industry to determine the safe operating limits of pressure vessels

Barlow's formula assumes that the vessel is subjected to internal pressure only and neglects other factors such as external forces, temperature effects, and geometric imperfections.  It is applicable for relatively thin walled vessels, where the ratio of the wall thickness to the outside diameter is small.

It's important to note that Barlow's formula is derived based on certain assumptions and limitations.  It assumes linear elastic behavior of the material, neglects the effect of axial or hoop stress, and does not account for factors like corrosion, fatigue, or weld efficiency.  Therefore, it should be used with caution, and engineering standards and codes specific to pressure vessels should be consulted for accurate and reliable design calculations.

## Barlow's formula

$$\large{ p = \frac{2 \; S \; t}{D} }$$     (Barlow's Formula)

$$\large{ S = \frac{ p \; D }{ 2 \; t } }$$

$$\large{ t = \frac{ p \; D }{ 2 \; S } }$$

$$\large{ D = \frac{2 \; S \; t}{p} }$$

### Solve for p

 allowable stress, S pipe thickness, t outside diameter, D

### Solve for S

 pressure, p outside diameter, D pipe thickness, t

### Solve for t

 pressure, p outside diameter, D allowable stress, S

### Solve for D

 allowable stress, S pipe thickness, t pressure, p

Symbol English Metric
$$\large{ p }$$ = pressure $$\large{\frac{lbf}{in^2}}$$  $$\large{Pa}$$
$$\large{ S }$$ = allowable stress $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ t }$$ = pipe thickness $$\large{in}$$ $$\large{mm}$$
$$\large{ D }$$ = outside diameter of pipe $$\large{in}$$ $$\large{mm}$$

Tags: Pipe Pressure