Throughout your 3rd Class Power Engineering studies you’ll be required to complete ASME code calculations involving cylindrical components. More specifically, you’ll be required to know how to calculate the minimum required thickness of a header on your provincial examination.

All page numbers referenced below are from the **2007 ASME Boiler & Pressure Vessel Code.**

## Formula

To calculate the minimum required thickness of a header required for various industrial applications you will use a formula contained within ASME Boiler & Pressure Vessel Code PG-27 Cylindrical Components Under Internal Pressure *page 10*. Specifically PG-27.2.2 *page 10*

**PG-27.2.2 Piping, Drums, and Headers. (based on strength of weakest course)** *It is important to remember any cylinder with an outside diameter less then 125mm is to be considered tubing and the equation provided in PG-27.2.1 page 8 should be used.*

**PG-27.2.2 Formula to calculate the minimum required header thickness:**

**Outside Diameter Equation**

**Inside Radius Equation**

## Formula Variables

The symbols used within the PG-27 formulas are contained within paragraph PG-27.3 *page 10* and are defined as follows**:**

C = Minimum allowance for threading and structural stability (mm) (PG-27.4, note 3) *page 11*

D = Or O.D. is Outside diameter of cylinder (mm) “In this case of the header”

E = Efficiency of longitudinal welded joints or of ligaments between openings, whichever is lower (the values allowed for E are listed in PG-27.4, note 1) *page 11*

e = Thickness factor for expanded tube ends (mm) (see PG-27.4, note 4) *page 11*

P = Maximum allowable working pressure “Gauge Pressure” (MPa) (see PG-21, refers to gauge pressure)

R = Inside radius of cylinder (mm) “In this case of the header”

S = Maximum allowable stress value at the operating temperature of the metal (Section II, Part D, Table 1A. See PG-27.4, note 2) *page 11*. It is important when determining the maximum allowable stress value to check (PG-6 plate materials) *page 4* and (PG-9 boiler tube materials) *page 5* before starting calculations as this information will determine the correct stress table to use by indicating whether the material is carbon steel or an alloy steel.

t = minimum required thickness (mm) (see PG-27.4, note 7) *page 12*

y = temperature coefficient (see PG-27.4, note 6) *page 11*

## How To: Calculate The Minimum Required Thickness Of A Header Questions

*Note: All code questions are to be calculated in (mm) and (MPa) unless otherwise stated. Convert accordingly and properly before the calculation.*

How To Determine The Minimum Required Thickness Of A Header Question #13

How To Determine The Minimum Required Thickness Of A Header Question #14

## Summary

If you have any additional questions about how to calculate the minimum required thickness of a header leave a comment below.

Thanks everyone,

Power Engineering 101