**Calculation of the minimum wall thickness of a given pipeline diameter and selection of actual thickness is one of the most important basic design considerations for any pipeline project. This is one of the basic activities that is performed at the initial stages of any detailed design project**. In this article, the pipeline wall thickness calculation methodology will be explained for a liquid pipeline of 10-inch diameter (API 5L-Gr X52, 10.75-inch OD, Design Pressure=78 Bar-g, Design Temp=60 Deg. C) with a sample example.

## Criteria for Minimum Pipeline Wall Thickness Calculation

**The wall thickness for the CS Line pipe shall be calculated based on permissible hoop stress due to internal pressure.** In accordance with ASME B31.4, clause 403.2.1, The nominal wall thickness of straight sections of steel pipe shall be equal to or greater than tn determined by the following

### Equation : t_{n} ≥ t + A

Here

- A: sum of allowances for threading, grooving, corrosion, and erosion and an increase in wall thickness if used as a protective measure
- t
_{n}: nominal wall thickness satisfying requirements for pressure and allowances - t: pressure design wall thickness as calculated in inches (millimeters)

### The line pipe wall thickness (t) to withstand the internal design pressure is calculated as below:

### t = P * D / (2 * F *S * E)

Where

- t : Calculated Wall thickness (mm)
- P : Design pressure for the pipeline (kPa)=78 bar-g=7800 KPa
- D : Outside diameter of pipe (mm)= 273.05 mm
- F : Design factor = 0.72
- S : Specified Minimum Yield Strength (MPa)=359870 KPa for the specified material.
- E : Longitudinal joint factor = 1.0

Hence Calculated wall thickness (t, mm) = (7800*273.05)/ (2*0.72*359870*1) = 4.10

If the sum of allowances for threading, grooving, corrosion, and erosion and an increase in wall thickness is used as a protective measure=0.3 mm

Then nominal wall thickness satisfying requirements for pressure and allowances= 4.1+0.3= 4.4 mm.

So, any available thickness greater than 4.4 mm can be used as a selected thickness.

Now various organizations have their own guidelines for minimum thickness selection considering pipe rigidity, supporting, handling, field bending, and other aspects relating to construction and in-situ integrity of the pipeline and those need to be checked. Based on these, certain checks need to be performed before deciding the final wall thickness. These are listed below:

**Some organizations limit the use of metallic line piping with a thickness of less than 4.8 mm. Hence 4.8 mm will be the selected thickness.**

**The diameter-to-wall thickness ratio should not exceed 96 for metallic pipelines for some organizations. Here D/T=273.05/4.8=56.88.**

## Full Vacuum Collapse check

As per a few organizations, collapse due to vacuum conditions shall be accounted for in the design of all pipelines, even when vacuum conditions are not expected to occur in service.

The calculations are carried out following pressure vessel code ASME Section VIII, DIV 1, UG-28. All vacuum collapse calculations are carried with nominal wall thickness excluding corrosion allowance.

As per UG 28 (f) of ASME section VIII, the selected pipeline wall thickness will be safe for full vacuum, if it is capable of withstanding a net external pressure of 1.01325 bar (15 psi).

Now following UG 28 equations and graphs calculate allowable external working pressure. If the allowable external working pressure is more than the design external pressure (i.e., 1.01325 bar) then the selected thickness is satisfactory.

## Equivalent Stress check

The equivalent stress calculations must be carried out as per ASME B31.4.

The wall thickness initially derived from hoop stress considerations based on design factors, should be such that the longitudinal, shear, and equivalent stresses in the pipe wall under functional and environmental loads do not exceed certain values. This is covered in ASME B31.4 Article 402 and ASME B31.8 Article 833. Because the requirements in these various articles differ from each other, it is recommended to use a single approach for all pipelines as detailed below.

The equivalent stress can be defined as follows:

### S_{eq} = (S_{h}^{2} + S_{L}^{ 2}– S_{h}S_{L}+ 3S_{s}^{2})^{1/2} (Von Mises equation)

- S
_{eq}= equivalent stress - S
_{h}= hoop stress (due to pressure) - S
_{L}= longitudinal stress (due to pressure, thermal expansion, and bending) - S
_{s}= combined shear stress (due to torque and shear force)

The stress calculations for the operational phase shall be carried out with the nominal wall thickness excluding the corrosion allowance. The equivalent stress shall not exceed the values given below:

## Pipeline Wall Thinning Criteria Check

Changes in direction may be made by cold bending of pipe or installing factory-made bends or elbows. The bending of the pipe will result in a significant wall thinning. Hence, the wall thickness of finished bends, considering wall thinning at the outer radius, should be not less than the calculated wall thickness for Hoop Stress. The wall thinning calculations should be carried out following BS 8010.

**As per BS 8010, An indication of wall thinning as a percentage can be calculated using the following equation: **

### Bend Wall Thinning =50/(n+1), %

This formula does not take into account other factors that depend on the bending process, and the bend manufacturer should be consulted where wall thinning is critical.

Here,

- n=inner bend radius (Ri) divided by pipe outside diameter(D) for wall thinning formulae
- R
_{i}=Inner bend radius=(Bend Radius)-(OD/2) - The value of bend thinning shall be less than 2.5%.

## Pipeline Strain Check

The strain induced in a pipeline by bending it along a radius R is =(Pipe OD)/2R (Bend Radius) the permanent bending strain should be within 2%.

## Online Course on Pipeline Thickness Calculation

If you want to learn more and wish to check a case study, then I can suggest the following online video course which provides an example of pipeline thickness calculation for both restrained and unrestrained pipelines.

Pipeline Thickness Calculation Methodology with Example

Hi Anup

Hope you are well

I have a question

please can you tell me how much % of corrosion allowance will be considered during the selection of API linepipe wall thickness / designing according to ASME B31.8 Standard.

Your reply is highly appreciated

Best regard,

Engr. G Kumar, Karachi

Dear Sir,

0.5 mm corrosion allowance will be considered during the selection of API line pipe wall thickness/designing according to ASME B31.8 Standard.

Regards

Munna Kumar

Senior Engineer

Pipeline Department

OIL INDIA LIMITED

Thank you mr Kumar. My name is Samson a mech engr from an FMCG environment who has passion for piping design. I wanted to train to be a piping engineer from a friend but what He has been teaching me is PDMS whearas I love to be a desingner i.e to design for pressure, temperature and stress. But you are threading the path that I want. Is PDMS a must for me to be a piping engineer.

Also how can it be possible for me to switch over to piping industry without any prior job experience in piping industry. pls assist as I love to be creative and being independent which a design job/experience can offer even at old age

Sir,PDMS is a 3d modeling software, where it can surely assist in piping design and engineering

hi sir, i am mohamed ismail , what is correct thickness of pipes ( 3” ,4”,6”,8”,10”,12”,16”,18” ) recommended by safety used in for water from pump house to induction furnace in india

Dear All,

above calculations for wall thickness applies to a single layered pipe (either Steel Pipe or PE Pipe).

How about RTP Pipes which is a 3 layered pipe designed as per API 15S (made of liner pipe, tape reinforcement, and cover pipe).

Can somebody advise?

Pls…pdf

One question; regarding wall thickness of the reinforcement for the pipe, what will be minimum thickness , I usually used wall thickness of the core pipe, What will be the max. wall thickness of the reinforcement .

Thank you

Hello Anup, I would like to know if you one-on-one training?

Hi,

Have you made a Excel file for the wall thickness calculation, if yes, could you please send it to me,

Thank you so much

Pipe length=20m

Diameter=1.5m

Weight=10tonnes

Determine the thickness t,

please how can I calculate the thickness, please someone should help me out

is it possible to have 0.05″ wall thickness for 3″ OD C.S pipe. please advise

Changing piping metallurgy from duplex stainless steel to alloy 825 had impact on thickness (calculated minimum), could you tell thickness will increase or remain same on same process conditions?