# Trunnion or Dummy Support and their Stress Calculation

## What is a Trunnion?

Piping Trunnion supports are one of the most frequently used pipe supports in the process piping industry. This support is widely used in the piping industry due to its ease of construction and erection. The construction and erection of a trunnion or dummy support are very easy because you have to simply weld a pipe (normally one or more size less than the parent pipe to which it is to be welded) with the parent pipe.

A pipe trunnion is defined as an additional pipe of similar or lower size welded to an active piping system to provide physical support. However, trunnion supports with the same size pipe are usually avoided due to profile cutting and welding difficulties during construction.

The load-bearing capacity of trunnion supports is usually less and not as comparable to civil structural supports. So, every stress engineer must check the weld point from a failure viewpoint and investigate the ability to carry the piping load (mostly the tangential and longitudinal load and corresponding moment). The chances of weld failure increase with an increase in trunnion length or trunnion height. Usually, trunnions with a height of more than 1500 mm are not suggested.

Sometimes structural members in place of pipe are also added to the parent pipe to form trunnion support. The material of the dummy or trunnion to be attached with the parent pipe should be compatible with the parent pipe material.

## Factors affecting load bearing capability of Trunnions

The load carrying capability of trunnion mainly depends on the following factors:

• Parent pipe and trunnion/dummy pipe diameter: With an increase in pipe size the load-carrying capacity increases.
• Parent pipe thickness: With an increase in pipe thickness the load-carrying capability increases.
• Parent pipe material: With an increase in parent pipe material allowable strength (Sh) the load-carrying capability increases.
• Design temperature: With a decrease in design temperature the load-carrying capability increases.
• Parent pipe corrosion allowance: With a decrease in corrosion allowance the load-carrying capability increases.
• Design pressure: With a decrease in design pressure the load-carrying capability increases.
• Trunnion/dummy pipe height: With a decrease in trunnion height the load-carrying capability increases.
• Reinforcement Pad thickness as the weld interface: Adding reinforcement pad at the parent pipe and trunnion pipe increases the load-carrying capability of trunnions to a huge extent. However, adding RF Pads at elbows is difficult to construct and hence suggested to avoid.

## Applications of Trunnion or Dummy Supports

Wide application of trunnion or dummy supports is found in control valve assemblies. In control valve stations, trunnion or dummy supports are usually welded from parent pipe elbows as shown in Fig. 1 below:

Trunnion or dummy supports are quite common to use as adjustable supports on Pump or other rotary equipment for alignment purposes.

## Typical Trunnion Support Configurations

A variety of support configurations can be made by welding trunnion supports on pipe. Examples of some widely used typical support configurations are provided in Fig. 2:

## Trunnion Calculation Method

There are various ways in which trunnion checking can be done. However, the Kellogg Method of trunnion checking using an excel spreadsheet is the most common among EPC organizations. In some organizations, trunnion checking by the WRC method is prevalent. In recent times, Trunnion or dummy support checking using FEA calculations are increasing among EPC organizations. Various extended modules of stress analysis programs like FE-Pipe/ FE-bend or other FEA programs are used to calculate stresses in the junction point and check if those are acceptable.

In this article, I will try to explain the steps and formulas used while trunnion checking using Kellogg method.

## Steps for Trunnion Calculation by the Kellogg Method

1. First of all run the static analysis in Caesar II/AutoPipe/Rohr II/Start-Prof/Other Stress Analysis Software to obtain the load values at trunnion nodes from the output processor. It is better to practice to take the maximum value from all load cases (Sustained, operating, design, upset, hydro test, occasional, etc.)

2. After that, calculate the bending stress generated on the pipe shell based on the following Kellogg equation:

### Sb=(1.17 * f * √R )/ (t1.5) ……(1)

Here,

• Sb=bending stress in pipe shell
• R=Outside radius of pipe shell
• t=Corroded pipe thickness (actual pipe thickness-corrosion allowance) plus the thickness of reinforcement pad

3. Now from Caesar we will get three forces with respect to each trunnion; longitudinal forces, circumferential forces, and axial forces. So accordingly we will have to calculate three f values as mentioned below:

• Loading due to circumferential bending, fC=MC/ (Π r2 )   ……..(3) and

Where,

• ML=Longitudinal force obtained from Caesar  * trunnion effective length
• MC=Circumferential force obtained from Caesar output * trunnion effective length
• P=direct axial force obtained from Caesar II output. and r=outside radius of the trunnion.

4. Next step is to calculate all bending stresses using equation (1) for longitudinal (SL), axial (SA), and circumferential (SC) forces as calculated from equations (2), (3), and (4).

5. Now Calculate longitudinal Pressure Stress (SLP=PD/4t) and Hoop Stress (SCP=PD/2t).

6. Now combine all these forces for proper load cases as shown below and compare the combined value with allowable stress value (Normal industry practice is to take 1.5 times Sh value as the allowable stress value where Sh is the basic allowable stress at design temperature from code ASME B 31.3).

• SL+ SA + SLP <= 1.5 * Sh
• SC+ SA + SCP <= 1.5*Sh And
• Trunnion Stress<=Sh

Here trunnion stresses should be calculated as=[{32*Trunnion OD*√(ML2+MC2)} / {Π*(Trunnion OD4-Trunnion ID4)}]

## Options to reduce stresses while Trunnion Support Checking

There are various ways by which the calculated stresses on the trunnions can be reduced so that the dummy calculation qualifies with respect to allowable stresses. Some of such tips are

• While checking trunnions or dummies, it is found that a major chunk of trunnion supports fails due to circumferential loads. So, orient or place the trunnion in such a way that the circumferential force on the trunnion becomes very less to permit/allow greater trunnion heights.
• Reducing the trunnion height or increasing the trunnion size also will reduce the calculated stresses.
• RF pads are required to be added to increase the junction thickness and thereby increasing load carrying capabilities which decrease stresses.
• Increasing the parent pipe diameter will also qualify the trunnions. However, increasing parent pipe size needs process confirmation.

Anup Kumar Dey

I am a Mechanical Engineer turned into a Piping Engineer. Currently, I work in a reputed MNC as a Senior Piping Stress Engineer. I am very much passionate about blogging and always tried to do unique things. This website is my first venture into the world of blogging with the aim of connecting with other piping engineers around the world.

## 20 thoughts on “Trunnion or Dummy Support and their Stress Calculation”

1. Prakash Mahajan says:

Hi Anup,
The articles are very usefull to all Piping engineers. Every one uses trunnions for supporting the piping.
I am stuckup with one problem on How to calculate temperature for Trunnion support Or Shoe support?
Generally we ambient temp. for modelling trunnion in CAESAR. But i am looking for article on how to calculate trunnion element OR shoe element temperature. Please provide your valuable details on it. Can we use Skirt temp calculation for calculating the trunnion temperature?

Thanks & Regards..
Prakash Mahajan.
Jacobs Engineering India Pvt. Ltd.

1. Anup says:

The best method for calculating trunnion/shoe temperature is performing an FEA analysis to get realistic results.

For approximate methods normally process piping people use 40 degree centigrade of temperature drop per inch (25 mm) of length in case of non insulated trunnion/shoe (part outside insulation) and 4 degree centigrade drop per inch inside insulation.

Anyway i will try to find out more on this topic.

2. Somnath says:

Dear Prakash,

Can u please send me the ‘ Skirt temp calculation ‘ method ?
I want it for Distillation column piping Analysis in CAESAR II.

3. Somnath says:

Dear Prakash,

Can u please send me the ‘ Skirt temp calculation ‘ method ?
I want it for Distillation column piping Analysis in CAESAR II.

2. Hi Anup, Please clarify below point please. 1)The last formula “as=[{32*Trunnion OD*√(ML2+MC2)} / {Π*(Trunnion OD4-Trunnion ID4)}]” is not relevant to MW Kellogg.

2)As looking at this formula’ s unit, we found out N/mm3 and it is not a stress unit.
Regards
Han

1. Andrew Corilla says:

Dear HAN,

Stress in Trunnion is as per Flexural Stress Formula S=Mc/I ,

where:

M=combined moment (ML^2+MC^2)^0.5

c=distance from centroidal axis to outside fiber(OD/2)

I=moment of inertia about the centroidal axis (pi x (OD^4-ID^4)/64.

The outcome unit would be N/m^2 which is a unit of stress.

3. SHIVAYOGI says:

i’m very thankful to ur such informative topics. i used to visit this site daily and gaining knowledge a lot. keep on educating me like beginners.

4. akshay says:

I HAVE USED PRG FEA and found SIF 2.1 to be on conservative side. Should not we use it instead.

1. want2learn says:

yes you can use that

5. Jack says:

I have a question about allowable stress.
SL+ SA + SLP <= 1.5 * Sh
SC+ SA + SCP <= 1.5*Sh
And Trunnion Stress<=Sh,
But Table B-"Total allowable stresses" in the Design manual – Piping Mechanical by The M.W.Kellogg, I can choose total allowable stress according to the design conditions and any cases.
Normal operating – 2.0Sh
Short time operating – 2.4Sh
Normal thermal only – 1.25Sc + 0.25Sh
Short time operating with thermal – 1.5(Sc+Sh)
Test – 2.4Sc

What is different your guide and design manual?

Dear Sir,

In our Organization we set the unreinforced SIF for intersection point of parent pipe & trunion and model the trunion
then we check the stress at this point at sustain and expansion load case and compare with allowable stress of material.

in your opinion is this true?
so why whould we use the kellog method?

7. Asim Shamim says:

I have come across an excel sheet for Trunnion Strength Calculation which is as per Kellogg’s method. It has 4 case study methods defined which are transit, 200 year, 10000year and blast, based on these types allowable stress changes. Please let me know which one I should pick for onshore O &G Piping.

8. brent_G says:

I have the same question as Jack,

Why “Normal industry practice is to take 1.5 times Sh value as the allowable stress value” instead of using 2,0Sh for normal operation and 2,4Sh for occasional, as MW Kellogg say?

Regards

9. sahus says:

Hi Need some clarification, If i relate all parameters.

1. Did not see the Sb=(1.17 * f * √R )/ (t^1.5) ……(1) is compared with allowable and used in acceptance criteria
2. Parent Pipe OD or ID is not appearing anywhere in formulation, Does it means any pipe size there is no relation and effect of parent pipe, unless it affects dimension interfence

10. DAVE says:

Hello All,

My question is on piping designer aspect.
Can we have trunnion support on 3D/5D bends?
As wall thickness will be different from Pipe bends & forged elbows does its advisable for critical piping?

11. Surajit Ghosh says:

If the trunnion is welded to the base then the attached parent pipe wall also experience moments. Hence stresses due to external moment also need to be added. This has not been mentioned in this topic.

12. Eagle says:

Please . Is there any practice we axle document to calculate the dummy stress.

13. eagle says:

Please any calculation sheet for this issu?

14. Mostafa says:

I have a condition to check stress to be within 0.5 hoop stress or else add a reinforcing pad but do not know how to check stresses against hoop since we are calculating bending stresses?

1. Mostafa says:

In trunnion check our client has condition of stresses need to be within 50% of hoop stress or else we need to add reinforcing pad. My question is how can I check stresses against hoop stress for trunnion?