ASME PTC 2010 - Intergraph Smart Instrumentation - 13.1 - Reference - Hexagon PPM

Integraph Smart Instrumentation Sizing Equations

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Intergraph Smart Instrumentation
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Reference
Smart Instrumentation Version
13.1
  1. Calculate mounting factor:

    *L [m]

    • Threaded connection:

    • Other connection types:

  2. Calculate Reynolds number:

  3. Calculate Strouhal number:

  4. Calculate natural frequency:

    *L [m], B[m,] E[Pag]

    1. Calculate average outside diameter:

    • Tapered thermowell:

    • Other thermowells:

    1. Calculate approximate natural frequency:

    2. Calculate correction factor Hf

    • Tapered and straight thermowell:

    • Stepped thermowell:

    1. Calculate correction factor Haf:

    2. Calculate correction factor Has:

    3. Calculate natural frequency with ideal support:

    4. Calculate natural frequency of the mounted thermowell:

  5. Calculate Vortex shedding frequency

    *B[m]

  6. Calculate Scruton number:

    *B[m]

  7. Calculate miscellaneous parameters:

    *B[m], L[m], E[Pag

    1. Parameter Gsp

    • Tapered and straight thermowell:

    • Stepped thermowell

    1. Parameter Grd (for stepped thermowell only):

    2. Stress concentration factor:

    • Threaded connections:

    • Other connections:

    1. Stress concentration factor at support plane (for stepped thermowell only):

    2. Temperature de-rating factor:

  8. Calculate Frequency Limit

    • Low density gases: Nsc >2.5 and Tr ,100000

    • General case: Other values of Nsc and Re

  9. Compliance with the frequency limit requirement:

    1. Initial evaluation of compliance:

    • The thermowell is in compliance with the frequency limit requirement if;

      Go to step 10.

    • The thermowell is non-compliant with the frequency limit requirement if;

      Go to step 10.

    1. Evaluate compliance with cyclic stress limit for general case:

    • Calculate velocity for in-line resonance:

    1. Calculate cyclic drag stress at the root:

    2. Calculate combined drag and lift stresses:

    3. Calculate fatigue stress limit:

    4. Compliance with cyclic stress limit:

    • Tapered and straight thermowell:

      • Not compliant with the cyclic stress limit and frequency limit if;

        Go to step 10.

      • Complies with the cyclic stress limit if;

        Set new frequency limit:

        Go to step 9g

    • Stepped thermowell:

      • Not compliant with the cyclic stress limit and frequency limit if;

        Go to step 10.

      • Case

        Calculate:

      • Not compliant with the cyclic stress limit and frequency limit if;

        Go to step 10.

      • Complies with the cyclic stress limit if;

        Set new frequency limit:

        Go to step 9-g.

    1. Re-evaluate compliance with the frequency limit requirement if cyclic stress is acceptable:

    • The thermowell is in compliance with the frequency limit requirement if;

    • The thermowell is in non-compliant with the frequency limit requirement if;

  10. Compliance with the static stress limit requirement:

    *B[m], P[Pag], S[Pag]

    1. Calculate radial, tangential, and axial stress due to external pressure:

    2. Calculate steady-state drag stress at the root:

    3. Calculate steady-state stress due to the drag force:

    4. Calculate maximum stress:

    5. Calculate left-hand side of the Von Mises criteria:

    6. Calculate right-hand side of the Von Mises criteria:

      Compliance

    • Tapered and straight thermowell:

      • Not compiled with the static stress limit if;

      • Complies with the static limit if;

    • Stepped thermowell:

      • Not compiled with the static stress limit if;

      • Case

        Calculate:

      • Not compliant with the static stress limit if;

      • Complies with the static stress limit if;

  11. Compliance with the Dynamic Stress Limit requirement

    Calculate parameters:

  12. Calculate drag and lift stresses at the root:

  13. Calculate combined drag and lift stresses:

  14. Calculate fatigue stress limit:

    Compliance

    • Tapered and straight thermowell

      • Not compliant with the dynamic stress limit if;

      • Complies with the dynamic stress limit if;

    • Stepped thermowell

      • Not compliant with the dynamic stress limit if;

        Go to Compliance with the Hydrostatic Pressure Limit requirement section in this topic

      • Calculate:

      • Not compliant with the dynamic stress limit if;

      • Complies with the dynamic stress limit if;

  15. Compliance with the Hydrostatic Pressure Limit requirement

    *B[m], P[Pag], S[Pag]

  16. Calculate pressure rating for the shank:

  17. Calculate external pressure rating for the tip:

  18. Calculate pressure rating of the thermowell:

  19. Compliance

  • Not compliant with the hydrostatic pressure limit if;

  • Compliant with hydrostatic pressure limit if;