Step by Step Methods for WRC 107 and WRC 297 Checking in Caesar II

Introduction:
Whenever Pressure Vessel or Heat exchanger (Static Equipments) nozzle loads exceeds the allowable values provided by Vendors (Equipment manufacturer) or standard project specific tables (guidelines), the piping stress professional is permitted to use WRC 107/297 (or any other FEA) to check the stresses at the Nozzle-Shell junction point and check the stresses with allowable values provided by Codes. If the stresses are found to be within allowable limit then the load and moment values can be accepted without any hesitation.
However there are some boundary conditions which must be met before using WRC. This small write up will try to explain the required details for performing WRC 107 and WRC 297 using Caesar II and step by step method for performing WRC check.
Both WRC 107 and WRC 297  deal with “local” stress states in the vicinity of an attachment to a vessel or pipe. As indicated by their titles, WRC-107 can be used for attachments to both spherical and cylindrical shells while WRC-297 only addresses cylinder to cylinder connections. While both bulletins are used for nozzle connection. WRC-107 is based on un-penetrated shell, while WRC-297 assumes a circular opening in vessel. Furthermore, WRC-107 defines values for solid and hollow attachments of either round and rectangular shape for spherical shells but drops the solid/hollow distinction for attachments to cylindrical shells. WRC-297, on the other hand, is intended only for cylindrical nozzles attached to cylindrical shells.
Boundary condition for using WRC 107:
To determine whether WRC 107 bulletin can be used for local stress checking the following geometry guidelines must be met:
  • d/D<0.33
  • Dm/T=(D-T)/T>50 (Here, T=Vessel Thickness, Dm=mean diameter of vessel)
Boundary condition for using WRC 297:
To determine whether WRC 107 bulletin can be used for local stress checking the following geometry guidelines must be met:
1. d/D<=0.5
2. d/t>=20   and d/t<=100   (Here t=nozzle thickness)
3. D/T>=20   and D/T<=2500
4. d/T>=5
5. Nozzle must be isolated (it may not be close to a discontinuity) – not within 2√(DT) on vessel and not within 2√(dt) on nozzle
Difference between WRC 107 and 297:
The major differences other than the boundary conditions mentioned above are listed below:
1. WRC 107 calculates only the vessel stresses while WRC 297 calculates Vessel stresses along with nozzle stresses.
2. WRC 297 is applicable only for normally (perpendicular) intersecting two cylindrical shells whereas WRC 107 is applicable for cylindrical as well as spherical shells of any intersection.

3. The attachments for WRC 297 checking must be hollow but WRC 107 analyzes cylindrical or rectangular attachments which can be rigid or hollow.

4. WRC 297 is not applicable for nozzles protruding inside the vessel (Fig 1), Tangential Nozzle (Fig 2), Nozzle at angle (Fig 3).

5. Typically, WRC-107 is used for local stress calculations and WRC-297 is used for flexibility calculations.

  • wrc

     

    Limitations of WRC:
    Other than boundary conditions mentioned above there are few more limitations as mentioned below:
    1. Neither bulletin considers shell reinforcement nor do they address stress due to pressure.
    2. CAESAR II ,PVElite & CodeCalc will not extrapolate data from the charts when geometric limitations mentioned above are exceeded. Extrapolated data may not be appropriate.
    Inputs required for performing WRC checking:
    The following documents must be ready with you before you start to perform WRC 107/297 checking:
    1. Equipment Details/ General Arrangement Drawing
    2. Nozzle details
    3. Line list
    Step by Step methods for performing WRC 107/ WRC 297 calculation in Caesar II:
     
    Step 1: Perform Static analysis of the stress system and find out the nozzle loads required for checking local stresses.
    Step 2: Enter into the WRC module from Caesar II. Provide a file name for your job
    Step 3: Following screen will appear. Enter the Nozzle data as mentioned below:

     

    Step 4: Now enter the vessel details i.e, diameter, wall thickness, corrosion allowance and material.

     

    Step 5: Input vessel and Nozzle direction cosines, Internal design pressure and load and moments values from Caesar static analysis output (Sustained, Expansion and occasional as applicable).

     

    Step 6:  On options it is suggested not to change any parameter. Now click on analysis to read the results. The output will inform you whether WRC checking is passing or failing. Use results as per your requirement.

    For entering loads and moments as per local convention following description and figure can be used for converting global forces into local forces:

     

    As shown in fig, Stretch your right hand with Middle finger along the Vessel Centerline. Index Finger should parallel to nozzle centerline and should point in a direction from nozzle towards entering vessel. And Thumb should be perpendicular to both. Then
    1.Direction of Index Finger represents +P.
    2.Direction of Middle Finger represents +VL
    3.Direction of Thumb represents +VC
    4.ML will be positive if by applying right hand thumb rule to ML, direction of thumb is same as that of VC.
    5.MC will be positive if by applying right hand thumb rule to MC, direction of thumb is opposite to direction of VL.
    6.MT will be positive if by applying right hand thumb rule to MT, direction of thumb is opposite to direction of P.Get the loads and moments from CAESAR output. Compare the direction of Forces and Moments in CAESAR output with conventional Force and Moment directions and enter the values of P, VL, VC, MT, MC and ML accordingly.

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.

12 thoughts on “Step by Step Methods for WRC 107 and WRC 297 Checking in Caesar II

  1. Regarding Note 5, where is it based that WRC-107 is typically used for local load calculations whereas WRC-297 for nozzle flexibility? If the loads calculated by WRC-297 are higher and/or nozzle local loads are exceeded, would you still go by WRC-107 and determine the connection to be safe?

    I am puzzled by this note, although I do not have a clear position on the issue myself.

  2. Why are you not applying pressure thrust option as True?
    Do you have any valid reason for not using it. Can you explain why you used pressure thrust as false?

  3. The blog writer effort is appreciated. It is good thing the he kept the controversial subject, such as thrust load, out of the discussions. Thrust load inclusion or exclusion is very much controversial among the users. I have not seen a consensus view on this among the users. Many users have experienced impractical results when thrust load due to internal pressure is used. It is an option in the program as the program developer, I think, is not sure about it and leaves it up to the users.

    There is a commercial program named FE Pipe/NozzlePro by the PRC Group available now. It is a finite element analysis program for nozzle load analysis. In this program, geometrical constrains of the WRC 107/297 are eliminated and is very easy to use even by a novice. In many EPC companies, the WRC methods for nozzle load analysis have been replaced by the FE Pipe/NozzlePro.

  4. please explain about the lines

    Other than boundary conditions mentioned above there are few more limitations as mentioned below:
    1. Neither bulletin considers shell reinforcement nor do they address stress due to pressure.

  5. Hi
    i have flange connection like Fig 4 (T2).Could somebody tell me how can I use WRC107because the direction cosine of the vessel and Nozzle is same, so the error is come up.
    Thanks
    Farhad

  6. I developed my own software for WRC 537 (WRC 107). It is validated against PVElite & Compress. Free version can be downloaded at:
    http://www.fayazmemon.com/old/FMSoft_Nozzle_Stress.html

  7. In spite of what demonstrated in Fig 2 of WRC 107 , the table 5 of the same reference calls for positive sign of radial load P when its direction is toward vessel inside space. Isn’t it in contradiction to what clarified in above?

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