ML071410323
| ML071410323 | |
| Person / Time | |
|---|---|
| Site: | North Anna  |
| Issue date: | 04/30/2007 |
| From: | Sorensen T, Straka T AREVA NP |
| To: | Office of Nuclear Reactor Regulation |
| References | |
| 32-9049386-000 | |
| Download: ML071410323 (142) | |
Text
20697-10 (3/30/06)
A CALCULATION
SUMMARY
SHEET (CSS)
AR EVA Document Identifier 32-9049386-000 Title North Anna Units I & 2 Pressurizer-Spray Nozzle Weld Overlay Analysis PREPARED BY:
REVIEWED BY:
METHOD: 0 DETAILED CHECK E] INDEPENDENT CALCULATION NAME Todd Sorensen NAME Tomas Straka SIGNATURE 4 i)SIGNATURE
~j~
Z 7
TITLE Engineer I DATE a/So/a'7 TITLE Principal Engineer DATE V/ /o0/ 7-COST REF.
TM STATEMENT:
CENTER 41324 PAGE(S) 113 REVIEWER INDEPENDENCE Basel Djazmati NAME 59 PURPOSE AND
SUMMARY
OF RESULTS:
Purpose:
This document is a non-proprietary version of AREVA NP Document 32-9035736-002. The proprietary information removed from 32-9035736-002 is indicated by a pair of square brackets " 1
)." The geometry and operating condition are Dominion Power proprietary. The purpose of this calculation is to qualify the North Anna Units 1 & 2 Pressurizer Spray Nozzle Weld Overlay Design to the requirements specified in Reference 12.7.
==
Conclusion:==
The calculation demonstrates that the design of the Spray Nozzle Weld Overlay for the North Anna Units I & 2 Pressurizer has met the stress and fatigue requirements of the ASME Code (Reference 12.1). The maximum cumulative fatigue usage factor is(
)for extended 60 years of operation.
Revision 000 consists of 142 pages including 1-121, 7a, 21a, 33a, 50a, 61a, 68a, 68b, 90a-d, 96a-c, 97a, 98a, 99a, 100a, 100 a, 101b, and 112a THE DOCUMENT CONTAINS ASSUMPTIONS THAT MUST BE VERIFIED PRIOR TO USE ON THE FOLLOWING COMPUTER CODES HAVE BEEN USED IN THIS DOCUMENT:
SAFETY-RELATED WORK CODENERSION/REV CODENERSION/REV F-1'.
YES
'5 NO AREVA NP Inc., an AREVA and Siemens company Page I of 142
RECORD OF REVISIONS Revision Date PageslSections Description Number Changed 000 04/2007 All Oiginal Release Prepared by:
T. Sorensen Reviewed by: I. Straka Date: 04/2007 Date: 04/2007 Page 2
BLANK PAGE INSERTED TO MAINTAIN PAGE NUMBERING Prepared by: t T. Sorensen Reviewed by: T. Straka Date: 04/2007 Page 3 Date: 04/2007
NORTH ANNA UNITS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
tOCUna M PIA--
AR EVA 32-9049386-000 North Anna NON-PROPRIETARY TABLE OF CONTENTS RECORD OF REVISIONS............................
2..............................
2 MULTIPLE PREPARER/REVIEWER BLOCK......
- ........... 3 TABLE OF CONTENTS.............................................................................................................
4 LIST OF FIGURES..................................................................................................................
6 LIST OF TABLES....................................................................................................................
7
- 1. PURPOSE...........................................................................................................................
8
1.1 INTRODUCTION
.............................................8 1.2 S C O P E 1
- 2. ANALYTICAL METHODOLOGY AND ASSUMPTIONS......................................
8 2.1 ANALYIICAL MEIHODOLOGY.....................
8 2..2 KEY ASSUMPTIONS...............................9
- 3. DESIGN INPUT...............................................................................................................
10
- 31.
GEOMEIRY........................................................................................ 10 3.2 FINITE ELEMENT MODEL.............................10 3.3 MATERIALS 14 3.4 BOUNDARY CONDITIONS AND LOADS...........................15 3.4.1 Ihermal Analysis 15 3.4.2 Structural Analysis 15
- 4. EXTERNAL LOADS....
D...............................................................
20 4-1 NOZZLE CROSS SECTION CHARACTERISTICS..........
........... 20 4-2 APPLICABLE STRESS INTENSITY DUE TO EXTERNAL LOADS FOR PRIMARY + SECONDARY QUALIFICAIION.................
23
- 5. DESIGN CONDITION........................................................................................................
26
- 6. THERMAL ANALYSIS......................................................................................................
..31
- 7. STRUCTURAL ANALYSIS...................................................................................
4..........
4
- 8. ASMIE CODE CRITERIA.................................................................
......................... A4 8.1 ASME CODE PRIMARY STRESS INTENSITY (SI) CRITERIA
............ 44 8.2 ASME CODE PRIMARY + SECONDARY STRESS INTENSITY (SI) CRITERIA.45 8.2.1 Path Stress Evaluation 45 8.2..2 Primary + Secondary Stress Intensity Range Qualification (NB 3222.2)............48 8.2.3 Summary of'Stiess Intensity Range Qualification.
53 8.2.4 Simplified Elastic-Plastic Analysis (NB-3228.5) 54 8.2.4..1 Primary + Secondary SI Range (Excluding thermal bending stresses) (NB-3228.5(a))...............
54 8,2 4.2 Factor KI (NB-3228 5(b))..................................
69 8.2,4.3 f atigue Usage Factor (NB-3228.5(c) and NB-3222.4)...........
.... 69 8.2.4.4 Thermal Stress Ratchet (NB-3228 5(d) and N"B-3222.5)..
69 8.2.4.35 emperatue Limits (NB-3228.5(e)).......
.. 91 8.2.4.6 Minimum Strength Ratio (NB-3228.5(f))........................
91 812.5 Fatigue Usage Factor Calculation...............................
92 9, RESULTS
SUMMARY
/CONCLUSION........
102 Prepared by:
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NORTH ANNA UNITS I & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCWUM NUMMER PLAN]
AREVA 32-9049386-000 North Anna NON-PROPRIETARY
- 10. SOFTWARE VERIFICATION..................................................................................
103
- 11. COMPUTER OUTPUT FILES.....................................................................................
104
- 12. REFERENCES........................... ;....................................................................................
113 APPENDIX A - STRESSES USED FOR SPRAY NOZZLE WELD OVERLAY FRACTURE MECHANICS ANALYSIS...............................................................................
114 A-1 PURPOSE......................................................................................................................
115 A-2 STRESS AND TEMPERATURE EVALUATION.....................................................
115 APPENDIX B - JUSTIFICATION OF USING INSUFFICIENT LENGTH OF WELD OVERLAY..............................................................................................................................
118 B-1 PURPOSE.....................................................................................................................
119 B-2 ANALYTICAL METHODOLOGY...........................................................................
119 B-3 BOUDNARY CONDISIONS.................
119 B-4 RESULTS AND CONCLUSIONS..........................................
120 Prepared by:
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LIST OF FIGURES Figure 3-1 Geometry of Spray Nozzle Weld Overlay (MAX WOL Shown).............
Figure 3-2 Finite Element Model Showing Mesh (MAX WOL Shown).
12 Figure 3-3 Finite Element Model - Detail of Safe End, Safe End Weld, Nozzle Weld, Buttering Weld, and Weld Overlay (MAX WOL Shown).............................
13 Figure 3-4 Surfaces fox Thermal Boundary Conditions (HTC, BI) 16 Figure 3-5 Thermal Coupled Area..
16 Figure 3-6 Surfaces for Structural Boundary Conditions (Pressure).......
17 Figure 3-7 Detail of' Surfaces for Structural Boundary Conditions (Pressure).
18 Figure 3-8 Surfaces for Structural Boundary Conditions......................
19 Figure 4-1 Cross Sectional Locations................
22 Figure 5-1 Deformed Shape vs. Un-deformed Outline Maximum WOL
...... 27 Figure 5-2 Deformed Shape vs. Un-deformed Outline Minimum WOL..
.28 Figure 5-3 Stress Intensity Contours at Design Condition Maximum WOL......
29 Figure 5-4 Stress Intensity Contours at Design Condition Minimum WOL..............
30 Figure 6-1 Location Numbers for Evaluation of Temperature Gradients (MAX WOL Shown) 35 Figure 6-2 Temperature and Thermal Gradient Plots of Selected Locations fox HUCD Transient (MAX WOL).................................
36 Figure 6-3 Temperature and Thermal Gradient Plots of Selected Locations fox PLUL Transient (MAX WOL)
................................................... 37 Figure 6-4 Temperature and Thermal Gradient Plots of Selected Locations for LILD Transient (MAX WOL) 38 Figure 6-5 Temperature and Thermal Gradient Plots of Selected Locations for LLD Transient (MAX WOL) 39 Figure 6-6 Temperature and Thermal Gradient Plots of Selected Locations for PFRT Transient (MAX WOL)
................................................... 40 Figure 6-7 Temperature and Thermal Gradient Plots of'Selected Locations for LOL Transient (MAX WOL)...................................................41 Figure 6-8 Temperature and Thermal Gradient Plots of Selected Locations fox SP Transient (MAX WOL)...................................................42 Figure 6-9 Temperature and Thermal Gradient Plots of Selected Locations for LT Transient (MAX WOL)
................................................... 43 Figure 8-1 Stress Paths through the Thermal Sleeve, Nozzle Weld, Safe End and Weld Overlay47 Figure 8-2 Stress Paths through the Safe End, Safe End Weld, Pipe, and Weld Overlay..........48 Figure A-1 Paths Defined for Fracture Mechanics Evaluation (MIN WOL Shown).,......116 Figure B-1: Stress Intensity Contour for the Thin Weld Overlay Configuration.....
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LIST OF TABLES Table 4-1 Summay of External Loads...................
20 Table 4-2 Nozzle Cross Sectional Characteristics, Maximum WOL....
.............. 21 Table 4-3 Nozzle Cross Sectional Characteristics, Minimum WOL
..-........ 21 Table 4-4 Maximum Primary + Secondary SI Due to OBE + T H External Loads on the Maximum W OL.....................-
...... 24 Table 4-5 Maximum Piimary + Secondary SI Due to OBE + TH External Loads on the Minimum WOL 25 Table 6-1 Transients............................
..............31 Table 6-2 Summary of Tiansients for Spray Fluid Region....... _........31 Table 6-3 HUCD Tiansient with Turbine Roll 32 Table 6-4 PFRT Transient 33 Table 6-5 PLUL Transient........................................
33 Table 6-6 Nodes of Interest for Evaluation of Temperatuef/Gradients 34 Table 6-7 Temperature adients of Intest................................34 Table 8-1 Path Descriptions and File Name.................................46 Table 8-2 Summary of Maximum Primary + Secondary SI Ranges for Membrane + Bending Stresses (Maximum WOL)
.49 Table 8-3 Maximum WOL External Loads Added by Components........
50a Table 8-4 Summary of Maximum Primary + Secondary SI Ranges for Membrane + Bending Stresses (Minimum WOL)................................
51 Table 8-5 Summary of Maximum Primary + Secondary SI Ranges fox Membrane + Bending -
Thermal Bending Stresses for Maximum WOL...........................
55 Table 8-6 Maximum WOL SI Ranges Minus Thermal Bending _...................56 Table 8-7 Summary of Maximum Primary + Secondary SI Ranges fox Membrane + Bending -
Thermal Bending Stresses for Minimum WOL-............................62 Table 8-8 Minimum WOL SI Ranges Minus Thermal Bending..........
63 Table 8-9 Allowable Ranges of Thermal Stresses for Maximum WOL
................ 70 Table 8-10 Allowable Ranges of Thermal Stresses for Minimum WOL...............71 Table 8-11 Maximum Thermal M+B Stresses for Maximum WOL _.........
_72 Table 8-12 Maximum Thermal M+B Stresses for Minimum WOL 83 Table 8-13 FSRF Summary....
92 Table 8-14 SA-508, Class 2 Fatigue: HPATH_1, Inside Node......................94 Table 8-15 Alloy 182 Fatigue: WPATH 1, Inside Node-................
....... 95 Table 8-16 SA-182, F316L Fatigue: SEPATH 1, Inside Node...............
.......96 Table 8-17 SA-182, F316L Fatigue: SEPATH_3, Inside Node------------..........
_96b Table 8-18 SA-240, Type 304 Fatigue: SPATHI, Outside Node...................97 Table 8-19 SA-403 Grade WP-S, Type 316 Fatigue: WPATH 2, Inside Node
-.98 Table 8-20 SA-376, Grade TP316 Fatigue: ELPATH 1, Outside Node........
99 Table 8-21 Alloy 52M Fatigue: WOL_1, Outside Node.........................100 Table 8-22 External Loads Added by Components
....101 Table 9-1 Summary of'Results..........................
102 Table 10-1 Softwar Verification Files1..........................
........ 103 Table 11-1 Computer.Output and Input Files................................
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Table A-1 Table A-2 Table B-1 Paths Description Min WOL...................
115 Stress and Tempetatme Result Files for Fracture Mechanics Evaluation....-....... 117 Output Files for Appendix B-...
..121 Prepared by: T. Sorensen Reviewed by: T. Straka Date: 04/2007 Date: 04/2007 Page 7a
NORIM ANNA UNITS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMENt NUMBER PLAN!
AR EVA 32-9049386-000 North Anna NON-PROPRIETARY
- 1.
PURPOSE
1.1 INTRODUCTION
Primary water stress corrosion cracking (PWSCC) of Alloy 600/82/182 materials is a well documented phenomenon in the nuclear power industry. High temperature components, such as those associated with the pressurizer, show the highest risk to PWSCC Dominion Generation (Dominion) plans to mitigate the pressutizer nozzle Alloy 82/182 dissimilar metal (DM) welds I
with structural weld overlays (PWOL) for the North Anna Units 1 and 2 during the fall 2007 and spring 2007 outages, respectively This document contains the thermal and structural analysis of two PWOL designs for the North Anna Units 1 & 2 pressurizer spray nozzle - maximum and minimum weld overlays (MAX WOL, MIN WOL).
The purpose of this calculation is to qualify the weld overlay designs to the requirements specified in Reference 12.7. Results of the analyses are summarized in this report to certify that the two weld overlay designs meet the criteria and fatigue requirements of the ASME Code Section III, 1968 Edition through Winter 1968 Addenda (Reference 12 2) and 2001 Edition through 2003 Addenda (Reference 12 1).
1.2 SCOPE The analysis is focused on the overlaid region for' requirements on both stress distribution and fatigue failure criterion. The main scope of the analysis includes the piping elbow, the stainless steel weld between the safe end and the elbow, the safe end, the DM weld between the safe end and the nozzle, the spray nozzle, WOL and portion of the pressurizer upper head.. A detailed finite element analysis (FEA) is conducted to investigate stress conditions under various operational transients.. In addition, post-processing of stress results is performed to provide data for fiacture analysis of the spray nozzle with weld overlays.
- 2.
ANALYTICAL METHODOLOGY AND ASSUMPTIONS 2.1 ANALYTICAL METHODOLOGY The general methodology of model development and stress analysis consists of:
- 1. Building 2-D models of the Spray Nozzle with Maximum Weld Overlay and Minimum Weld Overlay and adjacent part of the pressurizer upper head. The model incorporates the geometry (of the upper head, safe end, thermal sleeve, piping elbow and welds), appropriate materials and boundary conditions. The 2-D model is converted into a 2-D finite element model with axisymmetrie elements that treat the 2-D model as if it were rotated 3600 around the center axis. There are two finite element models consisting of thermal and structural elements, respectively so as to enable the thermal and structural analysis using ANSYS 10.0 (Reference 12.10).
- 2. Applying the design conditions of pressure and temperature (as temperature affects the material properties only) to the structural finite element model and obtaining the deformation Prepared by:
T. Sorensen Date: 04/2007 Page 8 Reviewed by: T. Straka Date: 04/2007
and stresses in the model.. The deformation field is used to verify the expected behavior of the model and correct modeling of' boundary and load conditions.
- 3. Applying the thermal loads resulting flom the plant operating transients (in the form of' transient temperatures and corresponding heat transfei coefficients4 versus time). Evaluating the results of the thermal analysis by examining the magnitude of temperature differences between key locations of the model. The time points of the maximum temperature gradient are those at which the maximum thermal stresses develop.
- 4. Applying the conresponding pressure and thermal loads (nodal temperature) at each time point identified in step 3 and other time points of analytical interest on the structural finite element model and obtaining the stress results. Since the weld oveilay configuration contains layers of different materials having different coefficient of expansion, it is possible that one material is in compression and another is in tension due to thermal expansion. The standard method in defining a path is to go firom a flee surface to a free surface However, using this method and applying the mathematical equations that ANSYS uses to find the membrane and membrane + bending stresses, may average the stresses at the boundary of the two materials.
Since there is no guidance on how to evaluate sections with multiple materials, in addition to the flee surface to free surface path, two partial paths (one in each material) are generated at the same location. These paths will be used to check the 3Si criteria. It is recognized that no continuous and progressive displacement can occur in one of the materials without the other material restraining that displacement. Therefore this approach is very conservative..
5 Hand calculating the effects due to nozzle external loads and adding the resulting stresses to the stress results due to pressure and temperature effect.
6 Comparing the results to the ASME Code for acceptability.
- 7. Documenting stresses and temperatures for the fiacture mechanics analysis nozzle weld overlay design.
2.2 KEY ASSUMPTIONS There are no major assumptions for this calculation. Minor assumptions are applicable..
of the spray noted where Date: 04/2007 Page 9 Date: 04/2007 Prepared by:
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NORMH ANNA UNifS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMENI NUMBEaR
+/-A AR EVA 32-9049386-000 North Anna NON-PROPRIETARY
- 3.
DESIGN INPUT 3.1 GEOMETRY Major parts of the Spray Nozzle Weld Overlay are shown in Figure 3-1. The detailed dimensions of the spray nozzle design are shown in References 12.5 and 12.6 as noted.
Some of'the major dimensions are:
Pressurizei Uppet Head Inside Radius to Base Metal -
(Ref. 12 5)
Pressurizer Upper Head Base Metal Thickness (Ref 12.5)
Pressurizer Upper Head Cladding Thickness (Ref 12 5)
Nozzle Sleeve 'Thickness (Ref. 13 5)
Pipe ID (Ref 12.5)
Pipe OD (Ref" 12.5)
Safe End lop ID (Ref 12.5)
Thermal Sleeve Weld ID (Ref. 12.5)
Thermal Sleeve ID (Ref. 12.5)
Spray Nozzle ID (Ref. 12.5)
Spray Nozzle OD at Weld (Ref. 12.5)
Nozzle OD to Base Metal (Ref. 12.5)
Nozzle OD (near Head)
(Ref'. 12.5)
Max Weld Overlay Length (Ref 12.6)
Max Weld Overlay at DM weld (Ref. 12 6)
Min Weld Overlay Length (Ref. 12..6)
Min Weld Overlay at DM weld (Ref 12..6) 3.2 FINITE ELEMENT MODEL The finite element analyses in this document ate performed using ANSYS 10.0 (Reference 12.10). The model geometry is documented in the following two ANSYS output files:
No computer output is included with this document The proprietary version of this document (32-9035736-002) contains computer, output files which are attached to the proprietary version of this document and are available in the AREVA COLD storuge system.
Ilustrated in Figures 3-2 and 3-3 ate meshed model with the maximum weld overlay. For both modes, the element type chosen for thermal analysis is PLANE77 (2-D 8-Node Thermal Solid),
which is converted to PLANE82 (2-D 8-Node Structural -Solid) in structmual analysis. Each model is comprised of approximately 18,000 nodes and 6,000 elements..
As shown in the later contour plots (Figures 5-3 and 5-4), the modeled pipe is sufficiently long to have stress reach a steady condition in the pipe and is far away florn the area of interest.. The thermal effects have also reached a steady condition and, again, the end of the pipe is far enough away fiom the area of'interest.. Therefore, ignoring the remaining pipe will not affect the thermal or structural (stress) results..
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RIH ANNA UNUIS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS DOCUMEN1 NUMBER PlAmI 2-9049386-000 North Anna NON-PROPRIETARY Figure 3-1 Geometry of Spray Nozzle Weld Overlay (LAX WOL Shown)
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NORTH ANNA UNITS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMRNIUNU93 ER NtAnI AR EVA 32-9049386-000 Noith Anna NON-PROPRIETARY Figure 3-2 Finite Element Model Showing Mesh (MAX WOL Shown)
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Figure 3-3 Finite Element Model - Detail of Safe End, Safe End Weld, Nozzle Weld, Buttering Weld, and Weld Overlay (MAX WOL Shown)
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NORIH ANNA UNITS 1 & 2 PRESSURIZER - SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMEZ'4 NMABE PEA1NTf AR EVA 32-9049386-000 Noith Anna NON-PROPRIETARY 3.3 MATERIALS Reference 12.7 piovides the material designations.. Pextinent mateiial properties are given in Reference 13.15.
Pressmizer Upper Head Spiay Nozzle Nozzle to Upper Head Weld Safe End Nozzle to Safe End Weld/Buttering Theimal Sleeve Pipe Safe End to Pipe Weld Head Internal Cladding Nozzle Sleeve Weld Overlay The analysis hemein uses the following material properties:
Mean coefficient of theunal expansion (a)
Specific heat (C)
Theimal conductivity (k)
Modulus of'elasticity (E)
Poisson's xatio (P*)
Density (p)
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NORTH ANNA UNIIS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCM¶N NUMBM PLANT AR EVA 32-9049-386-000 North Anna NON-PROPRIETARY 3.4 BOUNDARY CONDITIONS AND LOADS 3.4.1 Thermal Analysis During operation without splay events, the inside surfaces of'the Upper Head (INSHEAD), the inside bore surfaces of the Spray Nozzle, Safe End Weld, a part of the Safe End and the outside surfaces of the Thermal Sleeve (SAFEANN) axe in contact with the pressurizer fluid at steam temperature. During spray events, the inside sufaces ofthe Piping Elbow, Piping Weld, a part of' the Safe End and Thermal Sleeve (SPRAYNOZ) are in contact with the spray fluid at splay temperature.. An appropriate heat transfer coefficient (HIC) and bulk temperature (BI) versus time is applied on these surfaces, which are in contact with the pressinizer fluid or splay fluid (Figure 3-4). The pressurizer or spray fluid temperature varies with time depending upon the service load condition that is being applied and is discussed further in Section 6.. The same spray and steam temperature is conservatively assumed in the calculation when the spray is not in operation. In addition, an instantaneous temperature change from steam temperature to splay temperature is assumed without the effect ofthe bypass flow.
Thermal coupling was applied on the surfaces between the Safe End and Thermal Sleeve in the Thermal Sleeve Weld vicinity (Figure 3-5). In addition, the outside surface of' Nozzle Sleeve is thermally coupled with the inside surface of the nozzle such that conservatively higher thermal stresses will be obtained compared to a contact modeling.
The outside surfaces of' the Upper Head, Spray Nozzle, Piping Elbow and Weld Overlay (OUIHEAD) are exposed to the ambient temperature in conjunction with a small HIC. Ambient temperature of 70'F is used for all time points in the thermal analysis-The spray nozle is assumed to be insulated.. (
3.4.2 Structural Analysis Pressurizer steam pressure is applied to all surfaces of these components: INSHEAD, SPRAYNOZ, ENDSLEEVE (bottom end of the Thermal Sleeve), and SAFEAN (including all surfaces between the Safe End and Thermal Sleeve in the Thermal Sleeve Weld vicinity)
(Figures 3-6 and 3-7). The exteriors of the Pressurizer Upper Head are not loaded by pressure.
The upper end of the Piping Elbow (ENDCAP) has a pressure, p*, applied to represent the hydrostatic end load from the piping closure Pressurep* is calculated as follows:
pd 2 r D -d2 Where:
p = internal pressure applied d = ID of the piping elbow D = OD of the piping elbow The boundary conditions for the structural analysis are set to have zero displacement in the circumferential direction (fiom the nozzle axis) and also at the plane of symmetry (Figure 3-8).
Coupling is not used in the structural analysis between the Safe End and Thermal Sleeve in the Thermal Sleeve Weld vicinity (Figure 3-5). Internal pressure, as listed in Section 7, is applied to either side of the interface. Since no significant temperature gradients are present in the radial Prepared by:
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direction to separate Nozzle Sleeve from the nozzle and internal pressuie is plesent, the Nozzle Sleeve is considered being bonded to the nozzle in structwal analysis.
Figure 3-4 Surfaces for Thermal Boundary Conditions (HTC, BT)
C0ý"*-
Figure 3-5 Thermal Coupled Area Prepared by:
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NORIH ANNA UNIFS 1 & 2 PRESSURIZER -SPRAY NOZZLE WELD OVERLAY ANALYSIS A
D*CM&NI NU~MF3t I
AR EVA 32-9049386-000 North Anna NON-PROPRIETARY E
F Figure 3-6 Surfaces for Structural Boundary Conditions (Pressure)
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RIH ANNA UNITS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS DOCUMTNI NUM*MR 0tPANT 2-9049386-000 North Anna NON-PROPRIETARY F
[
Figure 3-7 Detail of Surfaces for Structural Boundary Conditions (Pressure)
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Figure 3-8 Surfaces for Structural Boundary Conditions Page 19 Prepared by:
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NORTH ANNA UNIIS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMENT NUMBER M.N AR EVA 32-9049386-000 North Anna NON-PROPRIETARY
- 4.
EXTERNAL LOADS Per Reference 12.16, the external forces and moments acting on the Spray Nozzle Safe End Weld location (Figure 4-1) are listed in Table 4-1. These loads are defined in the local coordinate system with the "x" axis oriented along the nozzle axis of' symmetry in the nozzle to pipe direction per Reference 12.8. It should be noted that Reference 12.8, also lists forces and moments due to dead weight and DBE. Since the calculation is focused on Primary plus Secondary stress intensity ranges as well as fatigue evaluation, dead weight (not contributing to stress intensity ranges) and DBE (a Faulted Condition, not required pet NB 3224.5 of Reference 12.1) aie not included.
These loads ae evaluated using hand calculation and the stresses due to these loads are added to the ANSYS results where appropriate for-ASME evaluation.
The applicable external load combinations are as follows:
. Table 4-1 Summary of External Loads Axial Shear Shear Shear ei d ort Share Fere Shear Torsion Bending Bending Bending Extermal Load Force Force Force Force Combination F,
Fy F.
F, M,
Mby Mt, Mb
[kips]
[kips]
[kips]
[kips]
[in-kip]
[in-kip]
[in-kip]
[in-kip]
OBE TH OBE + TH OBE+TH - TH Bend.*
- Bending moment due to thermal effect can be excluded for evaluating (if needed) Primary + Secondary SI Range as shown in Section 8 2.4.1 Where:
F,. = EF, Fvy = ZFy F. = YIF7 Fs = (FsY2+F8.)1/
MtX = Y1M.
Mby = ZMy Mbý = ZM Mb = M2 M2)1 fox corresponding Load Combination (TH; OBE) for corresponding Load Combination (TH; OBE) for corresponding Load Combination (TH; OBE) for corresponding Load Combination (TH; OBE) for corresponding Load Combination (TH; OBE) for corresponding Load Combination (TH; OBE) for corresponding Load Combination (IH; OBE) for corresponding Load Combination (TH; OBE) 4.1 NOZZLE CROSS SECTION CHARACTERISTICS The nozzle geometric dimensions are specified in References 12 5 and 12.6. Based on these dimensions, the cross sectional characteristics (Tables 4-2 and 4-3) are calculated for the locations depicted in Figure 4-1.
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F F
Table 4-2 Nozzle Cross Sectional Chaiacteristics, Maximum WOL D ()
d ()
I SOD SI A
L (1)
Location
[in]
[in]
[in4]
[in)]
[in3]
fin2]
[in]
NPATH 2 WPATH_1 SEPATH 2 SEPATH 1 SEPATH 3 WPATH 2 IWOLI ELPATH 1i Table 4-3 Nozzle Cross Sectional Characteristics, Minimum WOL D ()
d 1)
I SOD Sn A
L ()
Location at
[in)
[in]
[in4]
[in 3]
[in3]
[in2]
[in]
NPATH I NPATH 2 WPATH I SEPATH 2 SEPATH I SEPATH_3 WPATH 2 WOL 1 ELPATH I J
Notes in Tables 4-2 and 4-3:
(1) Inside and outside diameters D and d, and the moment aim L are taken from ANSYS output file "PathL.ines out" for Max WOIL and "PathI.ines min.out" fox Min WOL (2) Fox WOL _1, bending moments resulting fi'om transformation of external shear forces essentially relieve the total bending moments at these locations. The moment arm is conservatively set to zero to leave out this ieduction in bending moments..
(3) As seen in Reference 12.16, the external forces and moments are controlled by the vessel specification which is overly conservative for the piping. In order to reduce this conservatism, the moment arm for ELPATHI is taken as the negative distance from the pipe path to the safe end weld path This is still conservative when compared to the piping analysis loads in Reference 12.16.
Where:
D
- outside diameter d
- inside diameter I= Ir(D 4-d 4
I SOD = -D/2 ID i
- area moment of inertia
- section modulus of the nozzle - outside diameter
- section modulus of the nozzle - inside diameter Prepared by:
T. Sorensen Reviewed by: L Straka Date: 04/2007 Date: 04/2007 Page 21
A = X(D d2) cioss-section area of the nozzle 4
L
- moment aim Prepared by:
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L Figure 4-1 Cross Sectional Locations
............ 7..
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NORMH ANNA UNITS I & 2 PRESSURIZER - SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUM4N1 NUMBER PtAMI AR EVA 32-9049386-000 North Anna NON-PROPRIETARY 4.2 APPLICABLE STRESS INTENSITY DUE TO EXTERNAL LOADS FOR PRIMARY + SECONDARY QUALIFICATION The Spray Nozzle Weld Overlay is exposed to the external loads. The total stress intensity applicable for piimary + secondary qualification due to these loads is calculated heie.
The stresses due to internal pressure ate not considered here, since they are already included in the ANSYS transient analyses. Thus only OBE and thermal operating external loads (IH) are applicable for calculation in this section.
The membrane + bending stress intensities due to external loads fioro Table 4-1 are calculated as follows:
F.
A o',. B = M b
-E S
=Fc..L A
TM.
2 -S
- axial membrane stress due to external axial force (FBx)
- axial bending stress due to external bending moment (Mb)
- axial bending stress due to external shear force (FN)
- shear stress due to external shear force (F.)
- shear stress due to external torsion moment (M,,)
Sint- =
,_M+E+
4.,
- membrane + bending stress intensity where:
=
'EX
+
+
-~_ -axial membrane + bending stress r', = 's J" + rsmt
- shear stress due to external shear force and torsion moment The maximum stress intensities due to external loads (IH, OBE) are listed together with the stress components in Table 4-4 (Maximum WOL) and Table 4-5 (Minimum WOL).. These stress intensities will be used in the ASME Code evaluation for primary + secondary stresses in the nozzle regions (Section 8)..
Prepared by: T. Sorensen Reviewed by: T. Straka Date: 04/2007 Date: 04/2007 Page 23
NORIH ANNA UNITS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMENI NUMBER PLANT ARE VA 32-9049386-000 Notth Anna NON-PROPRIETARY Table 4-4 Maximum Primary + Secondary SI Due to OBE + TH External Loads on the Maximum WOL L.
Date: 04/2007 Page 24 Date: 04/2007 Prepared by:
T.. Sorensen Reviewed by:
f.. Straka
Table 4-5 Maximum Primary + Secondary SI Due to OBE + TH External Loads on the Minimum WVOL I
Axial Stress I
Shear Stiess IM+B Loading I o*.EX I G 1xap I
0uBM I
6axM+B IT I
T ý_Mt I T
Sint
[ksi]I kli]
[ksi]
[ksi]
[ksi]
[ksi] i Iksi]
[ksi]
Inside Diameter NPATH_1 NPATH 2 WPATH I SEPATH_2 SEPATH I SEPATH 3 WPATH 2 WOL_1 ELPATHI Outside Diameter NPATH_I*
/I NPATH 2 WPATH 1 SEPATH 2 SEPATH_1 SEPATH 3 WPATH_2 WOL I ELPATH I Prepared by:
T. Sorensen Reviewed by: I. Straka Date: 04/2007 Date: 04/2007 Page 25
- 5.
DESIGN CONDITION The pressurizer assembly was designed to satisfy the ASME Code Criteria when operating at a design pressure of I Ipsig and design temperature of I (Reference 12.8). These design conditions were simulated by setting the same reference and uniform temperature of (
I (the uniform temperature is the temperature applied on the model). Since both temperatures are the same, thermal expansion is eliminated and only material properties by the tempeiature of [
I are used. The design pressure of(
I psig is applied on all sutfaces of these components:
INSHEAD, SAFEAN, SPRAYNOZ and ENDSLEEVE (Figures 3-6 and 3-7).. The upper end of the Piping Elbow has the pressure, p*, applied to represent the hydrostatic end load. The pressure, p*, is calculated as follows:
P*
Pdews'd2 2
Where:
Pds,g, = design pressure d= ID of the piping elbow D = OD of the piping elbow The design condition stress analyses ae documented in the following ANSYS output files:
No computer output is included with this document. The proprietary version of this document (32-9035736-002) contains computer output files which are attached to the proprietary version of this document and are available in the AREVA COLD storage system.
Stress analysis of the model under design pressure case provides a basis for verification of the correct behavior of the model as well as boundary conditions.. Attenuation of stress effects at regions distant from the nozzle is also verified.
Figures 5-1 and 5-2 show the deformed shape of the MAX and MIN WOL model under the design pressure along with the outline of the un-deformed shape. The stiess intensity contours developed in the model under design pressure are shown in Figures 5-3 and 5-4 Prepared by: T. Sorensen Date: 04/2007 Page 26 Reviewed by: T. Straka Date: 04/2007
I.
Figure 5-1 Deformed Shape vs. Un-deformed Outline Maximum WOL Prepared by: T. Sorensen Reviewed by: T. Strka Date: 04/2007 Date: 04/2007 Page 27
Figure 5-2 Deformed Shape vs. Un-deformed Outline Minimum WOL Prepared by:
T. Sorensen Reviewed by: T.. Straka Date: 04/2007 Date: 04/2007 Page 28
Figure 5-3 Stress Intensity Contours at Design Condition Maximum WVOL Prepared by:
T. Sorensen Reviewed by: T. Straka Date: 04/2007 Date: 04/2007 Page 29
NORTH ANNA UNITS 1 & 2 PRESSURIZER - SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMENT NUMBER pn AR EVA 32-9049386-000 North Anna NON-PROPRIETARY r
Figure 5-4 Stress Intensity Contours at Design Condition Minimum WVOL "0")
Prepared by: T. Sorensen Reviewed by: T. Straka Date: 04/2007 Date: 04/2007 Page 30
NORTH ANNA UNITS 1 & 2 PRESSURIZER - SPRAY NOZZLE WELD OVERLAY ANALYSIS A
)DOCUMNI NU*MER PLANI AR EVA 32-9049386-000 North Anna NON-PROPRIETARY
- 6.
THERMAL ANALYSIS The opeiating thermal loads are defined by the thermal transient conditions as contained in Reference 12 8. The applicable tiansient data fiom References 12.8 are shown in Tables 6-3 through 6-.5. Table 6-1 provides a listing of Service Level A (Normal) and Service Level B (Upset) tiansients including the applicable design cycles Note that the number of transient occurances listed herein are bounding for plant life extension up to 60 years (Reference 12 7),
which conservatively envelopes the design life of the weld overlay repairs.
Table 6-1 Transients Trans ID#
Transient Name Design Cycles 1
Heatup [Normal]
2 Cooldown [Normal]
3 Unit Loading at 5% of Full Power [Normal]
4 Unit Unloading at 5% of Full Power [Normal]
5 Step Load Increase of 10% Full Power [Normal]
6 Step Load Decrease of 10% Full Powei [Normal]
7 Large Step Decrease in Load (with Steam Dump) [Nozmal]
8 Loss of Load [Upset]
9 Loss of Power [Upset]
10 Loss of Flow [Upset]
I I Reactor Trip From Full Power [Upset]
12 Turbine Roll Test [Test]
13 Phimary Side Leak Test @2500 psia 14 Steady State Fluctuations 15 Inadvertent Auxiliary Spray [Upset]
16 Operational Basis Earthquake [Upset]
Table 6-2 Summary of Transients for Spray Fluid Region Abbr.
Transient Name Design Cyles HUCD Heatup - Cooldown - Turbine Roll )
PLUL Plant Loading - Unloading LILD Step Load Increase - Decrease LLD Large Step Decrease in Load PFRT Loss of Power - Flow -Reactor Trip LOL Loss of Load SP Inadvertent Auxiliary Spr ay LT Leak Test OBE Operational Basis Earthquake Note (1) [
D Prepared by:
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T. Sorensen T. Straka Date: 04/2007 Date: 04/2007 Page 31
The following tables list the time points used for transients that wete combined foi thenmal analysis All othez ti ansients can be found in Reference 12.16.
Table 6-3 HUCD Transient with Turbine Roll Time Spray Steam Plessure INSHEAD SAFEAN SPRAYNOZ No, Temp Temp HTC RTC HTC h,
OF Y
ps ia BTU/h,-ft2-°F BTU/h..f-t2.. F BTUr/h,-ft-°F 1
2 3
4 5
6 7
8 9
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0.0001 3.7500 3.7501 3.7668 3.7669 7.8368 13.8368 13.8369 17.3701 18.0000 19.0000 19.3333 19.3334 19.9083 19.9084 20.0000 21.0000 23.0800 23.0801 23.0968 23.0969 26.1468 26.1469 27.1468 27.1469 27.1636 27.1637 30.3636 30.3637 31.3636 31.3637 31.3804 31.3805 32.1804 33.1804 33.5004 I
37 34.0000 "r-I I
I Prepared by:
T. Sorensen Reviewed by: T. Stiaka Date: 04/2007 Date: 04/2007 Page 32
Table 6-4 PFRT Transient Table 6-5 PLUL Trmnsient Time Spray Steam Pressure INSHEAD SAFEAN SPRAYNOZ No..
Temp Temp HrC ITC HTC hr OF OF psia BrU//hr-.ft2 -O° MUM,-ft2.F BTUM,.ft 2
-*OF 1
0.0001 2
0.1000 3
0.1001 4
0.1168 5
0.1169 6
0.3900 7
0.3901 8
0.4167 9
0.5167 10 0.5168 11 0.5335 12 0.5336 13 0.8367 14 1.0000 The detailed thermal loading due to these tiansients wexe applied to the thermal finite element model in the form of fluid and steam temperatures and HTC versus time..
Ihe computer input files containing definition of these transients axe:
No computer output is Included with this document. The proprietary version of this document (32-9035736-002) contains computer output files which are attached to the proprietary version of this document and are available in the AREVA COLD storage system.
Prepared by:
T. Sorensen Reviewed by: T. Straka
- i Date: 04/2007 Page 33 Date: 04/2007
NORIM ANNA UNITS 1 & 2 PRESSURIZER - SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMM NUMBER PLANI AR EVA 32-9049386-000 North Anna NON-PROPRIETARY The computer output files for the MAX/MIN WOL thermal analyses of the transients axe:
No computer output is Included with this document. The proprietary version of this document (32-9035736-002). contains computer output files which are attached to the proprietary version of this document and are available in the AREVA COLD storage system..
The results of the thermal analyses are evaluated by examining the magnitude of temperature differences between key locations of the model (Table 6-6 and Figure 6-1). The time points of the maximum temperature gradient are those at which the maximum thermal stresses develop.
The computer output files that provide the temperatures for the MAX/MIN WOL at the selected locations are:
No computer output Is Included with this document. The proprietary version of this document (32-9035736-002) contains computer output files which are attached to the proprietary version of this document and are available In the AREVA COLD storage system.
The temperatwe gradients between these key locations (Table 6-6) are also listed in the above output files. The results axe plotted in Figure 6-2 through Figure 6-9 for MAX WOL only. The plots for MIN WOL are similar and therefore, they are not plotted here in. These figures are used only to show the trend. Specific data ae taken fiom the computer input files. The computer input files "NAinpdt max..inp" and "NAinpdtmin..inp" contain definitions of the node numbers for temperature and temperature gradients calculation.
Prepared by: T. Sorensen Reviewed by: 1. Straka Date: 04/2007 Date: 04/2007 Page 33a
Table 6-6 Nodes of Interest for, Evaluation of Temperature/Gradients Node Node Location Number Number Location Description Number (MAX (KIN WOL)
WOL),
Al 4707 4842 Nozzle/Head Interiot Coiner A2 6075 6205 Nozzle/Head Exterior Comer B1 7411 7571 Nozzle ID B2 6089 6235 Nozzle OD CI 5041 5177 Nozzle 1I)
C2 5811 6090.
Weld Overlay OD D1 7459 7619 Safe End Weld ID D2 5786 10990 Weld Overlay OD El 8633 8790 Piping Weld ID E2
.10200 6000 Weld Overlay OD F1 2473 585 Middle and Upper Part of Nozzle F2 12883 2340 Middle of Safe End Weld
-GI
-9359 5865 Elbow ID G2 5893 6101 Weld Overlay OD Hi 5595 5737 Thermal Sleeve Weld ID H2 5779 11030 Weld Overlay OD Table 6-7 Temperature Gradients of Interest Gradient Gradient Gradient Description Path Location A1-A2 Al to A2 Nozzle to Head Conjunction B1-B2 B I to B2 Nozzle ID to OD C1-C2 Cl to C2 Nozzle ID to Weld Over lay OD DI-D2 DI to D2 Safe End Weld ID to Weld Overlay OD EI-E2 El to E2 Piping Elbow Weld ID to Weld Overlay OD Fl-F2 F1 to F2 Upper Part of Nozzle to Safe End Weld G1-G2 G1 to G2 Pipe ID to Weld Overlay OD Hl-H2 Hi to H2 Theimal Sleeve Weld ID to Weld Overlay OD I
Prepared by:
T. Sozensen Reviewed by: I. Stiaka Date: 04/2007 Date: 04/2007 Page 34
Figure 6-1 Location Numbers for Evaluation of Temperature Gradients (MAX WOL Shown)
Prepared by:
T. Sorensen Reviewed by: I. Straka Date: 04/2007.
Date: 04/2007 Page 35
Figure 6-2 Temperature and Thermal Gradient Plots of Selected Locations for HUCD Transient (MAX WOL)
Prepared by:
Reviewed by:
T. Sorensen T. Straka Date: 04/2007 Date: 04/2007 Page 36
Figure 6-3 Temperature and Thermal Gradient Plots of Selected Locations for PLUL
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Figure 6-4 Temperature and Thermal Gradient Plots of Selected Locations for LILD Transient (MAX WOL)
Prepared by: T. Sotensen Reviewed by: I.. Stawka Date: 04/2007 Page 38 Date: 04/2007
Figure 6-5 Temperature and Thermal Gradient Plots of Selected Locations for LLD Transient (MAX WOL)
Page 39 Prepared by:
T. Soxensen Reviewed by: I.. Straka Date: 04/2007 Date: 04/2007
Temperature and Thermal Gradient Plots of Selected Locations for PFRT Transient (MAX WOL)
. Figure Prepaxred by: T. Soxensen Reviewed by: T. Straka Date: 04/2007 Date: 04/2007 Page 40
NORIH ANNA UNITS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMnt NUMBER PtLAT AR EVA 32-9049386-000 North Anna NON-PROPRIETARY Figure 6-7 Temperature and Thermal Gradient Plots of Selected Locations for LOL Transient (MAXWOL)
- 1 Prepared by:
T. Sorensen Reviewed by: L. Straka Date: 04/2007 Date: 04/2007 Page 41
Figure 6-8 Temperature and Thermal Gradient Plots of Selected Locations for SP Transient (
WOL)
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Figure 6-9 Temperature and Thermal Gradient Plots of Selected Locations for-LT Transient (MAX WOL)
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- 7.
STRUCTURALANALYSIS Stress analyses for the maximum and minimum weld overlay thickness axe performed at all time points and substeps from the thermal analysis., The nodal temperature at eabh time point is read into the structural model directly firom the result file of the thermal analysis. The conresponding pressure is obtained by interpolation fiom Tables 6-3 through 6-5 or from the tables in Reference 12.16. The computer output files for' the maximum and minimum weld overlay from the structural analyses are:
No computer output is Included with this document. The proprietary version of this document (32-9035736-002) contains computer output files which are attacked to the proprietary version of this document and are available In the AREVA COLD storage system.
- 8.
ASME CODE CRITERIA The ASME code stress analysis involves two basic sets of criteria:
- 1. Assure that failure does not occur due to application of'the design loads 2.. Assure that failure does not occur due to repetitive loading.
In general, the Primary Stress Intensity criteria of the ASME Code (Reference 12.1) assure that the design is adequate for application of design loads.
Also, the ASME Code criteria for cumulative fatigue usage factor assure that the design is adequate for repetitive loading.
8.1 ASME CODE PRIMARY STRESS INTENSITY (SI) CRITERIA Per NB-3213.8 of Reference 12.1, the primary stresses are those normal or shear stresses developed by an imposed loading such as internal plessure and external loadings.. A thermal stress is not classified as a primary stress. The classification as well as the limit of'primary stress intensity is specified in NB-3221 of Reference 12.1 for Design Conditions., The limit of primary stress intensity for Level B (Upset), Level C (Emergency), and Level D (Faulted) is specified in NB-3223, NB-3224, and NB-3225 of Reference 12.. 1, respectively.
As presented in Reference 12.14, the primary stress intensity criteria are the basic requirements in calculating the weld overlay size, which is under the assumption that a 3600 circumferential flaw has grown completely through the original weld. Loading conditions in each service level have been considered in the weld overlay sizing calculation. The nozzle to piping elbow region has been reinforced by the weld overlay since adding materials to the nozzle outside region relieves primary stress burden resulting fiom internal pressure and external loads. The overlay
. further reduces stress--concentlation by -eliminating-the -outside surface discontinuity.. Therefore, the primary stress intensity requirements for the spray nozzle, welds with overlay, safe end and piping have been satisfied for all service level loadings without the need for further evaluation.
[
Other related criteria include the minimum required pressure thickness (NB-3324 of Reference
.12. 1) and reinforcement area (NB-3330 of Reference 12.1), which were addressed in the original Prepared by:
T. Sorensen Date: 04/2007 Page 44 Reviewed by: T. Straka Date: 04/2007
NORIH ANNA UNITS I1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMEFN NUMBER PANT AR EVA 32-9049386-000 North Anna NON-PROPRIETARY nozzle/pressurizer designs. Adding weld overlay will increase the nozzle wall thickness and therefore these requirements are satisfied.
8.2 ASMIE CODE PRIMARY + SECONDARY STRESS INTENSITY (SI) CRITERIA As stated previously, the. analyses of stresses for tiansient conditions are iequired to satisfy the requirements for the repetitive loadings. T[he following discussion describes the fatigue analysis process employed herein for the design.
Overall stress levels awe reviewed and assessed to determine which model locations requite detailed stress/fatigue analysis. The objective is to assure that:
1 The most severely stressed locations are evaluated
- 2. The specified region is quantitatively qualified.
8.2.1 Path Stress Evaluation The ANSYS Post Processor is used to tabulate the stresses along predetermined paths and classify them in accordance with the ASME Code Criteria (i.e., membrane, membrane plus bending, total) For paths that go through 2 materials partial paths are taken in addition to the flee surface to free surface paths as explained in Point 4 of*Section 2.1..
The paths are shown in Figuies 8-1 and 8-2 and axe described in Table 8-1. For post processing, the path definitions axe contained in the computer input files as follows:
NA_Fatigue NozzleMAX/MINM+B/IOT.inp Full and Partial Paths with Nozzle Material NA_Fatigue NWeldMAX/MINM+BFLOT.inp Full and Partial Paths with Nozzle Weld Material NAFatiguePipeMAX/MINM+B/1OT.inp Full and Partial Paths with Pipe Material NA_FatigueSafeEndMAX/MJNM+B/IOI.inp Full and Partial Paths with Safe End Material NA_FatigueSEWeldMAX/MIN_M+B/IOT.inp Full and Partial Paths with Safe End Weld Material NA__FatigueTSMAX/MIN_M+B/IOI.inp Full Path with Thermal Sleeve Matetial NA_F*atigue _WOLMAX/MIN M+B/TOI.inp Full and Partial Paths with WOL material The files were run for the maximum and minimum weld overlay for both Membrane + Bending and Total stresses. These input files are not uploaded in the COLD server since they are echoed in the output files (same name with the extension '.out').
Prepared by: T. Sorensen Date: 04/2007 Page 45 Reviewed by: T. Straka Date: 04/2007 F
tr
Table 8-1 Path Descriptions and File Name Path Name Maximum WOL Minimum WOL File Name ath Name Inside Node Outside Node Inside Node Outside Node FieName HPATH 1 4707 6075 4842 6205 Nozzle NPATH_1 7411 6089 7571 6235 Nozzle NPATH 2 4962 5914 5189 6107 Nozzle WPATH_1 7459 5786 7619 10990 NWeld/WOL WPATH1A 7459 10114 7619 10277 Nweld WPATHIB 10114 5786 10277 10990 WOL SPATH 1 5263 8232 5398 8392 TS SEPATH 1 10796 5826 10052 6008 SafeEnd/WOL SEPATHIA 10796 5828 10052 5917 SafeEnd SEPATHIB 5828 5826 5917 6008 WOL SEPATH 2 5597 10122 5732 6035 SafeEndfWOL SEPATH2A 5597 10149 5732 5912 SafeEnd SEPATH2B 10149 10122 5912 6035 WOL SEPATH 3 5932 10134 5905 11026 SafeEnd/WOL WPATH 2 8633 10200 8790 6000 SEWeld/WOL WPATH2A 8633 5613 8790 8794 SEWeld WPATH2B 5613 10200 8794 6000 WOL WOL_1 9359 5893 5865 6101 Pipe/WOL WOLIA 9359 9358 5865 9522 Pipe WOLIB 9358 5893 9522 6101 WOL ELPATH_1 5699 5703 9618 5856 Pipe Prepared by:
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NORTHANNA UN1S 1& 2 PRESSURIR-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMENT NUMBER PLAN AR EVA 32-9049386-000 North Anna NON-PROPRIETARY I-Figure 8-1 Stress Paths through the Thermal Sleeve, Nozzle Weld, Safe End and Weld Overlay Prepared by:
T. Sorensen Date: 04/2007 Page 47 Reviewed by: I. Straka Date: 04/2007 I
r Figure 8-2 Stress Paths through the Safe End, Safe End Weld, Pipe, and Weld Overlay 8.2.2 Primary + Secondary Stress Intensity Range Qualification (NB 3222.2)
The ANSYS Post Processor was used to find the membiane + bending Stress Intensity Ranges and total Stress Intensity Ranges based on the method prescribed in paragraph NB-3216.2 of the ASME Code. The computer runs containing the results of' the stress ranges calculation for membrane + bending, total stresses and associated usage factors are:
No computer output is included with this document. Ihe proprietary version of this document (32-9035736-002) contains computer output files which are attached to the proprietary version of this document and are available in the AREVA COLD storuge system.
Prepared by:
T. Sorensen Reviewed by: T. Straka Date: 04/2007.
Date: 04/2007 Page 48
The membrane + bending stress ranges as determined in the sttess range runs are conservatively combined by hand with the stresses due to external loads (calculated in Section 1.1) where appropriate The maximum membrane + bending Stress Intensity Ranges are compared directly to the Primary + Secondary Stress Intensity Range criteria of the ASME Code.. The summary of maximum membrane + bending Stress Intensity Ranges is tabulated in Table 8-2 (MAX WOL) and Table 8-4 (MIN WOL).
Note that the Zero Stress State (ZSS) is included in the ANSYS runs listed above.
Table 8-2 Summary of Maximum Primary + Secondary SI Ranges for Membrane +
Bending Stresses (Maximum WOL)
Transient Stresses Applicable External Stresses Output files as listed in Table 8-1.
TH+OBE, Table 4-4 Path SI Range SI Range Maximum SI Minimum SI Inside Node Outside Node Inside Node Outside Node
[ksi]
[ksi]
[ksi]
[ksi]
-HPATHI NPATH I rNPATH_2 WPATH I WPATHIA WPATH1B SPATH I SEPATHI SEPATHIAr SEPATHIB SEPATH_2 SEPAT112A SEPATH2B3 SEPATH 3 WPATH_2 WPATH2A WPATH2B WO~lI WOLIA WOLIB ELPATH I Date: 04/2007 Page 49 Date: 04/2007 Prepared by:
T. Sorensen Reviewed by: r. Straka
Table 8-2 Summary of Maximum Primary + Secondary SI Ranges for Membrane +
Bending Stresses (Maximum WOL) (Cont.)
Transient Stresses +
Allowable SI Range Matezial External Stesses 3*S. @ 6800F Path SE Range SI Range nsd Outside Inside Outside Inside Node Outside Node node Node node Node
[ksi]
[ksi]
HPATH 1 NPATH 1I NPATH 2 WPATH 1 WPATHIA WPATHIB SPATH 1 SEPATH 1 SEPATHIA SEPATHIB SEPATH 2 SEPATH2A SEPATH2B SEPATH 3 WPATH 2 WPATH2A WPATH2B WOL I WOLIA WOLIB ELPATH I Note "':Averaye temperature used to calculate the allowable 3S,. Range WOL_1-Avg Temp =
- Paths have exceeded 3'S. limit, see Section 8 2.4 for fmther evaluation.
tNode has external loads added by components. (See Table 8-3)
I Prepared by:
T. Sorensen Reviewed by: T. Stiaka Date: 04/2007 Date: 04/2007 Page 50
Table 8-3 Maximum WOL External Loads Added by Components Path Name: WOL1 Inside Node No.: 9359 Load Case I Time SteplTemperature Stress Components (Membrane + Bending) [psi]
SX SY Sz SxY SYZ SXz Path Name: WOLI B Inside Node No.: 9358 Load Case I Time SteprTemperature Stress Components (Membrane + Bending) [psi SX SY Sz SXY SYZ SXz Page50a Prepared by:
T. Sorensen Reviewed by: T.. Straka Date: 04/2007 Date: 04/2007
h[
Table 8-4 Summary of Maximum Primary + Secondary SI Ranges for Membrane +
Rending Stresses (Minimum WOL'*
Stresses (Mini.mum W.
Transient Stresses Applicable External Stresses Output files as listed in Table 8-1.
TH+OBE, Table 4-5 Path SI Range SI Range Maximum SI Minimum SI Inside Node Outside Node Inside Node Outside Node
[ksi]
[ksi]
[ksij
[ksi]
NPATH_2 WPAT-H 1 WPATHIAr WPATHIB SPATH 1 SEPATH-I SEPATHIA SEPATHIB SEPATH 2 SEPATH2A SEPAT112B SEPATH_3 WPATH 2 WPATH2A WPATH2B WOL1A WOLIB ELPATHII I
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Table 8-4 Summary of Maximum Primary + Secondary SI Ranges for Membrane +
Bending Stresses (Minimum WOL) (Cont.)
Transient Stresses +
Allowable SI Range Material Exterual Stresses 3*S. @ 680OF Path SI Range SI Range Inside Outside Inside Outside Inside Node Outside Node Node Node Node Node I
[ksi]
[ksi]
HPATH__
I 1
WPATH e
WPATHIAr WPATH 1B SPATH I SEPATH I SEPATHIA SEPATHIB SEPATH 2
-SEPATE2A SEPATI-2B SEPATH_3 WPATH_2 WPATE2A WPATH213 WOL I WOLIA WOLIB ELPATI-I I
- Paths exceeded the 3*Sin limit, see Section 8.2 4 for further evaluation.
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8.2.3 Summary of Stress Intensity Range Qualification Table 8-2 provides the summaiy of maximum Stress Intensity Ranges and allowable limits for the maximum weld overlay.
As can be seen in the table, the stresses exceed the 3*Sin limit at the following locations:
SPATH 1 Inside & Outside Nodes WPATH 2 Inside & Outside Nodes SEPATH_1 Inside & Outside Nodes WPATH2A Inside & Outside Nodes SEPATHIA Inside & Outside Nodes WOL_1 Outside Node SEPATH_2 Inside Node WOLIA Inside & Outside Nodes SEPAIH2A Inside & Outside Nodes WOL1B Outside Node SEPATH 3 Inside & Outside Nodes ELPATH 1 Inside & Outside Nodes For the rest of the locations, the requirement has been met.
Table 8-4 provides the summary ofmaximum Stress Intensity Ranges and allowable limits for the minimum weld overlay.
As can be seen in the table, the stresses exceed the 3*Sm limit at the following locations:
SPATH 1 Inside & Outside Nodes WPATH_2 Inside & Outside Nodes SEPAIH 1 Inside & Outside Nodes WPATH2A Inside & Outside Nodes SEPIHIA Inisde & Outside Nodes WOL 1 Inside & Outside Nodes SEPATH 2 Inside Node WOLIA Inside & Outside Nodes SEPATH2A Inside & Outside Nodes WOLIB Inside & Outside Nodes SEPATH_3 Inside & Outside Nodes ELPATH_1 Inside & Outside Nodes For the rest of the locations, the requirement has been met.
The ASME Code allows the 3*Sm limit to be exceeded under special conditions, one of them being that Simplified Elastic-Plastic Analysis (NB 3228..5) is used for fatigue analysis. See Section 8.2.4 for further qualifications.
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8.2.4 Simplified Elastic-Plastic Analysis (NB-3228.5)
The maximum Primary + Secondary Stress Intensity criteria in Section 8.2 2 is not met for the locations determined in Section 8.2.3. Therefore, the simplified elastic-plastic analysis for these locations is provided in this section..
The Primary + Secondary Stress Intensity range may exceed 3*Sm if the requirements of the simplified elastic-plastic analysis are met. T he requirements ate:
8.2.4.1 Primary + Secondary SlRange (Excluding thermal bending stresyes) (NB-3228.5(a))
The range of Primary + Secondary membrane + bending stress intensity, excluding thermal bending stresses, shall be < 3*Sm.
The SI ranges excluding thermal bending are calculated for the locations identified in Section 823.. The membrane + bending ANSYS output files listed in Section 8.2.2 ae used to find the stress components for membrane stress due to pressure and thermal conditions.
The bending stress due to pressure only is determined by multiplying the bending stress obtained firom design linearization output files (NADesPres fat max.out, NADesPres fat min out) with a pressure ratio.. The ratio is the pressure at the time point constituting the maximum membrane + bending SI range, divided by the design pressure. The prorated bending stress is added to the membrane stress and external stress in determining the membiane + bending SI range excluding thermal bending effect..
The design condition isr Jpsig at(
The applied temperature affects only physical material properties, there ore the effect of thermal bending is considered to be negligible..
Tables 8-6 and 8-8 present the calculations for the maximum primary + secondary SI Ranges for membrane + bending - thermal bending stresses per NB-3228..5(a) for the maximum and minimum WOLs. Tables 8-5 and 8-7 summarize results for maximum and minimum WOLs, respectively.
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I-Table 8-5 Summary of Maximum Primary + Secondary SI Ranges for Membrane +
Bending - Thermal Bending Stresses for Maximum WOL Transient Stresses Applicable External Stresses See Table 8-6 TH+OBE, Table 4-4 Path SI Range SI Range Maximum SI Minimum SI Inside Node Outside Node Inside Node Outside Node
[ksi]
[ksi]
[ksi]
[ksi]
SPATH_I SEPATH 1 SEPATHIA SEPATH 2 SEPATH2A SEPATH 3 WPATH_2 WPATH2A WOL I WOL1A WOLIB ELPATH 1 I
TIranslent Stresses +
Allowable SI Range Material External Stresses 3*Sm @ 680OF Path SI Range SI Range Inside Outside Inside Outside Inside Node Outside Node Node Node Node Node
_ksil (ksi]
SPATH I SEPATH I SEPATHIA SEPATH 2 SEPATH2A SEPATH_3 WPATH 2 WPATH2A WOL I WOLIA WOLIB ELPATH I h
- Average temperature used to calculate the allowable 3"S. Range. SPATH I-Avg Temp = [
l=.
i,Sm.
)3*S I
ISEPAIHIA -Avg Temp
[
- External loads added by components (see Tabte 8-6).
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NORIH ANNA UNITS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMN*I TNUR fPLANT AREVA 32-9049386-000 North Anna NON-PROPRIETARY Table 8-6 Maximum WOL SI Ranges Minus Thermal Bending I:F L
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Table 8-6 Maximum WOL SI Ranges Minus Thermal Bending Prepared by:
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NORTH ANNA UNITS I & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMEN* NUMBEa MANI AR EVA 32-9049386-000 North Anna NON-PROPRIETARY f
Table 8-6 Maximum WVOL SI Ranges Minus Thermal Bending (Cont.)
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Table 8-6 Maximum WOL SI Ranges Minus Thermal Bending (Cont.)
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NORIH ANNA UNIYS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMENI NUMBER PNAM*
AR EVA 32-9049386-000 North Anna NON-PROPRIETARY Table 8-6 Maximum WOL SI Ranges Minus Thermal Bending (Cont.)
F L
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Table 8-6 Maximum WOL SI Ranges Minus Thermal Bending (Cont.)
r Piepared by:
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NORIH ANNA UNITS 1 & 2 PRESSURIZER - SPRAY NOZZLE WELD OVERLAY ANALYSIS DOCUMENT N3-098-0 PlAnNR 32-9049386-000 North Anna NON-PROPRIETARY Table 8-6 Maximum WVOL SI Ranges Minus Thermal Bending (Cont.)
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[ANNA UNITS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS DOCUME399 NUM-32-9049386-000 FLAi Noith Anna NON-PROPRIETARY Table 8-7 Summary of Maximum Primary + Secondary SI Ranges for Membrane +
Bending - Thermal Bending Stresses for Minimum WOL
- Node has external loads added by components+ (See Iable 8-8)
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Table 8-8 Minimum WOL ST Ranges Minus Theimal Prepared by: T. Sorensen Reviewed by: I. Stiaka Date: 04/2007 Date: 04/2007 Page 63
Table 8-8 Minimum WVOL SI Ranges Minus Thermal Bending (Cont.)
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!I Table 8-8 Minimum WOL SI Ranges Minus Thermal Bending (Cont.)
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NORIM ANNA UNITS 1 & 2 PRESSURIZER - SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMEN1T NUME PIANI AR EVA 32-9049386-000 North Anna NON-PROPRIETARY 1!
I:
Table 8-8 r
Minimum WOL SI Ranges Minus Thermal Bending (Cont.)
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ft.
Table 8-8 Minimum WOL SI Ranges Minus Thermal Bending (Cont.)
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NORTH ANNA UNITS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMENT NUMBER PIANI AR EVA 32-9049386-000 Noxth Anna NON-PROPRIETARY Table 8-8 Minimum WOL SI Ranges Minus Thermal Bending (Cont.)
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F Table 8-8 Minimum WVOL SI Ranges Minus Thermal Bending (Cont.)
I.
J t.
<lExternal Loads calculated fiom the IH+OBE-TH Bend, combination shown in Table 4-i using the same method and equations presented in Section 4, since Thermal Bending is being removed, it can also be removed forom the external loads added.
C 3
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Table 8-8 Minimum WOL SI Ranges Minus Thermal Bending (Cont.)
(IExtemal Loads from IH+OBE-IH Bend. combination. See Note (I) previous page
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All SI Ranges listed in Table 8-5 and Table 8-7 are less than the allowable stress, therefore the requirement of ASME NB-3228.5(a) has been met on all full and partial paths.
8.2.4.2 Factor Ke (NB-322& 5(b))
LI The values of Sa used fox entering the design fatigue curve is multiplied by the factor K,, where 1-n (S
K, =1.0+
S J for 3-S, <S, <3 m..S Eq.
n.(m-1) *3
)E~
K, =1.O/n for S,, >3 m-S.
Eq. 2 m = 1.7 for austenitic stainless steel from Table NB-3228.5 (b)-1 (Reference 12.1)
V n = 0 3 for austenitic stainless steel fiom Table NB-3228.5 (b)-1 (Reference 12.1)
Sm [ksi]
for austenitic stainless steel @ average temperature of the metal at the critical time points Sn [ksi]
Primary + Secondary membrane plus bending SI Range The K, factor is calculated for each SI Ranges over the 3S. limit (Table 8-2 and Table 8-4) in the fatigue check as documented in Tables 8-14 through 8-21. The critical SI Ranges are evaluated in Section 8.2.5.
8.2.4.3 Fatigue Usage Factor (ANB-322&$5(c) and NB-3222.4)
For fatigue usage factor evaluation see Section 8.2.5.
8.2.4.4 Thermal Stress Ratchet (NB-322& 5(d) and NB-3222.5)
Thermal Ratchet is considered for the locations listed in Section 8.2.3.
Some of these locations are parts of the local geometric discontinuities The ASME Code requirements fox thermal ratcheting are considered accur ately only for cylinchical shells without discontinuities. On the other hand, the requirements for thermal tatcheting at discontinuities are considered to be "probably overly conservative" (Reference 12.12, page 207)
Maximum Allowable Range of Thermal Stress (NB-3222.5):
Tables 8-9 and 8-10 determine the maximum allowable thermal stresses in the locations that exceeded the Primary + Secondary Stress Intensity Range Qualification (Section 8.2.3). The values of allowable stresses are conservatively calculated based on the membrane stresses due to the design pressure(
3 The "SMmax" values are the maximum general membrane stresses and are obtained fiom.
ANSYS output files NADesPres_maxfat..out and NADesPres_minfat.out.
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NORIH ANNA UNITS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS DOCUMENM NUMBER PnAM1 32-9049386-000 North Anna NON-PROPRIETARY NB-3222..5 only requires the stresses to include thermal stresses and those fiom the output files also contain pressure effects. The maximum thermal stresses are calculated in Tables 8-11 and 8-12.
Table 8-9 Allowable Ranges of Thermal Stresses for Maximum WOL Smax1l Average SmM 1.5'Sm Sy' SMmax y,
Allowable Path Smal Temperature x
Smax I_[ksil rF]
[ksi]
[ksq
[ksil
[ksi]
[ksij Inside Nodes SPATHI SEPATH I SEPATHIA SEPATH 2 SEPATH2A SEPATH 3 WPATH 2 WPATH2A WOLIA ELPATHI I
1 Outside Node SPATH 1I SEPATH I SEPATH1A SEPATH2A SEPATH 3 WPATH 2 WPATH2A WOL I WOLIA WOLIB ELPATHI I
I I
Note S Table 8-1l.
Note (:S. and Sy ate the design stress intensity and the yield strength at the average temperature, respectively Prepared by:
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NORTH ANNA UNIIS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMEM NUMBER KANT AR EVA 32-9049386-000 North Anna NON-PROPRIETARY Table 8-10 Allowable Ranges of Thermal Stresses for-Minimum WOL Smax~1 1 Average Smr2) 1.5*Sm Sy(t 2 SMmax Allowable Path m
Temperature x
y Smax
[ksi]
[OF)
[ksi]
[ Iksl]
(ksl]
[ksi]
[ksi]
Inside Nodes S PATH 1 SEPATH I SEPATHI1A SEPATH 2 SEPATIH2A SEPATH 3 WPATH 2 WPATH2A WOL 1 WOLIA WOLIB ELPATHI1 Outside Node SPATH I SEPATH I SEPATHIA SEPATH2A SEPATH 3 WPATH 2 WPATH2A WOLI WOLIA WOLIB ELPATHI Note "): See Table 8-12 Note P S. and Sy are the design stiess intensity and the yield stiength at the average temperature, respectively.
Where:
x = maximum general membrane stress due to pressure ("SMmax") divided by the yield strength Sy*
y'=-
fox 0.0 < x <0.5; x
y'= 4( - x) for 0.5 <x<l1.0 Maximum allowable theImal stress = y*
- Y The maximum thermal stresses are less than the allowable stresses; therefore the requirement has been met.
- I 5S. is used instead of Sy. Per NB-3222 5, note 11, it is petmissible to use 135S. in this equation whenever it is gieater than Sy.
I?
4.
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Table 8-11 Maximum Thermal M+B Stresses for Maximum WOL Prepared by:
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Table 8-11 Maximum Thermal M+B Stresses for Maximum WOL (Cont.)
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Table 8-11 Maximum Thermal M+B Stresses for, Maximum WOL (Cont.)
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Table 8-11 Maximum Thermal M+B Stresses for Maximum WOL (Cont.)
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NORIH ANNA UNITS 1 & 2 PRESSURIZER -SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMENI NLINMP PIANI AR EVA 32-9049386-000 North Anna NON-PROPRIETARY Table 8-11 Maximum Thermal M+B Stresses for Maximum WOL (Cont.)
Page 76 Prepared by:. T. Sorensen..
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Table 8-11 Maximum Thermal M+B Stresses for Maximum WOL (Cont.)
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Table 8-11 Maximum Thermal M+B Stresses for Maximum WOL (Cont.)
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Table 8-11 Maximum Thermal M+B Stresses for Maximum WOL (Cont.)
r Page 79 Prepared by: T. Sorensen Reviewed by: T. Straka Date: 04/2007 Date: 04/2007
NORIH ANNA UNITS 1 & 2 PRESSURIZER - SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMEN!T NUMIBOER PiANT ARE VA 32-9049386-000 North Anna NON-PROPRIETARY Table 8-11 Maximum Thermal M+B Stresses for Maximum WOL (Cont.)
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NOR*H ANNA UNIIS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMENI NUMBER Ni AR EVA 32-9049386-000 North Anna NON-PROPRIETARY Table 8-11 Maximum Thermal M+B Stresses for Maximum WOL (Cont.)
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NORMH ANNA UNITS I & 2 PRESSURIZER - SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMENI NUNMER PLTAN AR EVA 32-9049386-000 North Anna NON-PROPRIETARY Table 8-11 Maximum Thermal M+B Stresses for Maximum WOL (Cont.)
Note (1): Thermal Membiane stresses are equal to the Iransient Membrane stresses - Pressure Ratio x Design Pressure Membrane stresses.
Note (2): Iheimal Bending stresses are equal to the Transient Bending stresses-Pressure Ratio x Design Pressure Bending stresses.
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NORIH ANNA UNITS I & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMENT NUMBER UA AR EVA 32-9049386-000 North Anna NON-PROPRIETARY Table 8-12 Maximum Thermal M+B Stresses for Minimum WOL Prepared by: ' T. Sorensen Reviewed by: T. Straka Date: 04/2007 Date: 04/2007 Page 83
Table 8-12 Maximum Thermal M+B Stresses for Minimum WOL (Cont.)
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Table 8-12 Maximum Thermal M+B Stresses for Minimum WOL (Cont.)
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Table 8-12 Maximum Thermal M+B Stresses for Minimum WOL (Cont.)
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Table 8-12 Maximum Thermal M+B Stresses for Minimum WOL (Cont.)
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Table 8-12 Maximum Thermal M+B Stresses for Minimum WOL (Cont.)
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NORIH ANNA UNITS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DMOUVENI 32M9 N
A-I AR EVA 32-9049386-000 Noith Anna NON-PROPRIETARY Table 8-12 Maximum Thermal M+B Stresses for Minimum WOL (Cont.)
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r Table 8-12 Maximum Thermal M+B Stresses for Minimum WOL (Cont.)
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Table 8-12 Maximum Thermal M+B Stresses for Minimum WOL (Cont.)
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NORTH ANNA UNITS 1 & 2 PRESSURIZER - SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DWOWNT NMWR PL.ANM AR EVA 32-9049386-000 Noith Anna NON-PROPRIETARY Table 8-12 Maximum Thermal M+B Stresses for-Minimum WOL (Cont.)
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6 Table 8-12 Maximum Thermal M+B Stresses for Minimum WOL (Cont.)
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NORTH ANNA UNITS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCU"ENI NUNMER nAN.
AR EVA 32-9049386-000 North Anna NON-PROPRIETARY Table 8-12 Maximum Thermal M+B Stresses for Minimum WOL (Cont.)
r Note (): Thermal Bending stresses ate equal to the Th+xessute Bending stresses - Pressure Ratio x Pressure Only Bending stresses.
Note (2): Ihermal Membrane stresses are equal to the Th+Presswe Membrane stresses - Pressure Ratio x Pressure Only Membiane stresses Prepared by:
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'i
8.2.4.5 Temperature Limft (NB-3228.5(e))
The maximum temperature of the components is 680 *F.
he maximum allowable temperatures (Table NB-3228.5(b)-l, Reference 12.1) for matefi 1 Therefore, the ASME Code requirement is met.
8.2.4.6 Minimum Strength Ratio (NB.322&5(/))
The material shall have specified minimum yield strength to specified minimum tensile strength ratio of less then 0.80 The Sy and S, values at 70°F are obtained fiom Reference 12.15.
C 3
Specified minimum yield strength, Sy = l Specified minimum tensile strength of, S. = [
Ratio of' Sy/S,- 0.385 1
3 Specified minimum yield strength, Sy =
3 Specified minimum tensile strength, S. =
3 Ratio of' SY/SU =0.400 1
3 Specified minimum yield strength, Sy = 1 3
Specified minimum tensile strength, Su =[
3 Ratio of SSS = 0.400 1
3 Specified minimum yield strength, Sy =
3 Specified minimum tensile strength, S. =
3 Ratio of S/S, = 0.400 1
3 Specified minimum yield strength, Sy = 1 3
Specified minimum tensile strength, S. = 1 3
Ratio of' Sy/Su = 0.412 Maximum allowable ratio of Sy to S, = 0.8 (NB-3228.5(f))
Therefore, the ASME Code requirement is met.
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8.2.5 Fatigue Usage Factor Calculation The fatigue usage factor at a location is usually calculated based on the actual stress intensity range. Howevei, at a geometric or material discontinuity, an unrealistic peak stress may iesult from the modeling approach, element type and mesh sizes., The total stresses obtained fiom the finite element analysis may not be able to capture the actual stress condition. To account for the possible modeling error, an FSRF is usually applied to the M+B stress intensity range for locations experiencing the discontinuity.. If the membrane + bending SI range is over 3*Sm limit, the SI Range is also multiplied by K, factor.
The stress category used in fatigue evaluation, along with an appropriate FSRF, for each node is listed in Table 8-13. For paths near the thermal sleeve weld and crevice, M+B stresses with an FSRF of 4.0 are applied. For other locations located along a taper, an FSRF was calculated with the taper angle per Reference 12.13.. The FSRF of the inside nodes of SEPATIH_2 and SEPATH2A are similar to a weld with backing strip; therefore per NB3352.2 of'Reference 12..1, the FSRF is taken as 2.0.
Table 8-13 FSRF Summary Inside Node Outside Node Path Name Stress Stress Category Categoly HPATH I Total Total NPATH I Total M+B NPATH 2 Total M+B WPATH-I M+B M+B_
WPATHIA M+B M+B WPATHIB M+B M+B SPATH I Total M+B SEPATH 1 M+B M+B SEPATHIA M+B M+B SEPATHIB M+B M-B SEPATH 2 M+B M+B SEPATH2A M+B M+B SEPATH2B M+B M+B SEPATH 3 Total Total WPATH 2 M+B Total WPATH2A M+B M+B WPATH2B M+B Total WOL I Total M+B WOLIA Total M+B WOLIB M+B M+B ELPATH 1 Total M+B The following pages contain the calculation of the cumulative fatigue usage factor for the points of interest. The calculation is performed separately for seven materials and different parts of Prepared by: T. Sorensen Reviewed by: T. Straka Date: 04/2007 Date: 04/2007 Page 92
model.. Stress intensity ranges are obtained fiom ANSYS runs as listed in Section 8.2.2. For the first 500 cycles (see Section 6), external loads were added to the transient SI Range manually. In addition to the major transients, the spray nozzle experiences four spray activations within the HUCD transient that only iange within its self(see Note () Table 6-2). Three of'these activations or sub-cycles were run in separate ANSYS files (See Section 12)_ The fatigue usages fiom the spray activations are included in fatigue calculation. External load are added manually to sub-cycles as described earlier when necessary.
The critical locations are:
Nozzle[
), Class 2: HPATH_1 (Inside Node, Total, MIN WOL)
) WPATH_1 (Inside Node, M+B, MIN WOL)
Safe End, (
1: SEPATIH-_1 (Inside Node, M+B, MAX WOL) and SEPAT-I_3 (Inside Node, Total, MAX WOL)
Thermal Sleeve, (
3 SPAT H-_1 (Outside Node, M+B, MAX WOL)
Safe End to Piping [
3 WPATH_2 (Inside Node, Total, MAX WOL)
Piping, (
3 : ELPATHI (Outside Node, M+B, MAX WOL)
Weld Overlay, (
3: WOLI (Outside Node, M+B, MAX WOL)
These critical locations bound the remaining paths. When membrane + bending SI is used, the node has an FSRF applied to it as specified in Table 8-13. The 'Total' SI Range without a FSRF multiplier is used for fatigue determination for HPATHI, SEPATH_3 and WPATH_2 because the mesh was determined to be fine enough and there ate no discontinuities The load cases of all transients ate combined for the maximum SI iange. The number of cycles of the appropriate transient is used in the fatigue usage factor calculation. When combining with other transients, the number of cycles of this transient may be reduced accordingly.
Primary + Secondary Membrane + Bending and Total SI Ranges used for the fatigue evaluation are found in the output files listed in Section 8.2 2.
In the following tables:
(1)
Req'd Cycles - the number of cycles for 60 years as listed in Tables 6-1 and 6-2 (2)
Memb+Bend - elastic results fiom M+B output files listed in Section 8.2.2 (3)
Total - elastic results from Total output files listed in Section 8.2.2 (4)
External Stress -
stress intensity due to external loads from Tables 4-4 and 4-5 conservatively added to first 500 cycles, unless otherwise noted (5)
(6)
F SRF - Fatigue Strength Reduction F actor listed in Table 8-13 KY - the KY factor calculated by Eq. 1 or Eq. 2 presented in Section 8.2.4.2 (7)
Peak SI Range = [(2) or (3) + (4)] x F SRF x K, (8)
S.at - Peak SI Range/2 (9)
E cuve - 2.83e7 for High Alloy and 3..0e7 for Low Alloy Prepared by: T. Sorensen Reviewed by: T.. Straka Date: 04/2007 Date: 04/2007 Page 93
Table 8-14
) Fatigue: HPATH_1, Inside Node EVALUATION nar TITLE:
North Anna -Spray Nozzle Weld Overlay Analysis - HPATH 1 (Inside Node)
Reference:
NA.Fatlgue.NozzleMlNTOT out NAFatigue..NozzleMIN_.TOTlCD out NAFatigue.NozzleMINTOTCD2 out Material:
Type:
I UTS (kal) =
E mati (psI) j E ratio -'E curve'I'E mat!)
TRANSIENTS RANGE WITH REQ'D PEAK SI Eratlo x ALLOWABLE USAGE NUMBER RANGE CYCLES RANGE E mat!
S aft S alt CYCLES FACTOR "U" EXTREMES 2
3 4
6 6
The 'Peak SI Range' = rTotar x Ke (as needed)
Range 1, Total' SI Range = -
ksi; Ke a 10 Range 2 'Totar SI Range =
ksl; Ke =
10 Range 3, 'Totar SI Range -
ksi; Ke m 10 Range 4 'Totar SI Range =
ksl; Ke=
10 Range 5 'Totar SI Range =
ksi; Ke =
10 Range 6, 'Total' SI Range =
ksi; Keau 1.0
- Spry Activation Sub-Cycle Prepared by:
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Table 8-15 (
J : WPATH.1, Inside Node EVALUATION TITLE:
North Anna - Spray Nozzle Weld Overlay Analysis - WPATH.1 (inside Node)
Reference:
NAFatigueNWeldMlNM+B out NAFatigue_.NWeIdMIN_M+B_HU out NAFatigueLNWeldMIN_M+B_CD out NAFatigue.NWeldMlNM+BCD1.out NAjFatigueNWeldMIN_M+B_CD2 out Material:
Type:
UTS (ksl) m E matl (psi)
RANGE I TRANSIENTS WITH NUMBER RANGE EXTREMES 1
2 3
4 5
6 7
8 9
The 'Peak SI Range' ='Mem + Bend' x Fatigue Strength Reduction Factor (FSRF) x Ke (as needed)
Range 1, 'Memb + Bend' SI Range =
Ke a 10 Range 2, 'Memb + Bend' SI Range =
Ke =
10 Range 3, 'Memb. Bend' SI Range =
Ke =
10 Range 4 'Memb + Bend' SI Range -
Ke =
10 Range 5 'Memb + Bend' SI Range =
Ke =
10 Range 6, 'Memb + Bend' SI Range =
Ke m 10 Range 7, 'Memb + Bend' SI Range a Ke m 10 Range 8 'Memb + Bend' SI Range =
Ke =
1.0 Range 9, 'Memb + Bend' SI Range =
Ke =
1.0
- Spray Activation Sub-Cycle Prepared by:
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NORTH ANNA UNIIS 1 & 2 PRESSURIZER - SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUME?! NUMBER PLANT AR EVA 32-9049386-000 Notth Anna NON-PROPRIETARY Table 8-16 (
) Fatigue: SEPATH_1, Inside Node EVALUATION TITLE:
North Anna-Spray Nozzle Weld Overlay Analysis - SEPATH_1 (Inside Node)
Reference:
NAFatigue.SafeEndMAXM+B out NAFatigue..SafeEndMAX_M+B.HU out NA_FatigueSafeEndMAXM+B_CD out NAFatig ueSafeEndMAXM+BCDI out NA,_FatigueSafeEndMAXM+B_CD2 out Material:
Type:
UTS (ksl) -
E matd (psi),,
E ratio =CE curve' 'E matl')
REQ'D Eratio ALLOWABLE USAGE PEAK SI E mat!")
S ait x
FACTOR NUMBER RANGE EXTREMES 60CYes RANGE CYCLES YUe 1
2 3
4 5
6 7
9 I_
10 The 'Peak SI Range'
'Merm + Bend' x Fatigue Strength Reduction Factor (FSRF) x Ke (as needed)
Range 1, Memb + Bend' Sl Range -
Ke m Range 2 Memb + Bend' SI Range =
Ke =
Range 3, Memb + Bend' SI Range -
Ke -
Range 4, Memb + Bend' SI Range -
Ke,
Range 5, Memb + Bend' SI Range -
Ke =
Range 6 Woemb + Bend' SI Range =
Ke =
Range 7, Woemb + Bend' SI Range n Ke =
Range 8, Woemb + Bend' SI Range -
Ke =
Range 9. Memb + Bend' SI Range =
Ke =
Range 10 ?Jlemb + Bend' SI Range =
Ke a Range 11, 'Memb + Bend' SI Range -
Ke =
Prepared by:
T. Sorensen Reviewed by: T. Stmka Date: 04/2007 Date: 04/2007 Page 96
Table 8-16 (
] Fatigue: SEPATH_1, Inside Node (Cont.)
Transient Transient +
t rSI Temp I Temp 2 Avg Sm Ternal SI External SI EQ 1P EQ 20 Ke Factor Location RangeTemperature (Table Range ks of:
°F OF ksi ksl ks!
LOL-SP CD-LOL CD-LT CD-LILD HU-LILD CD2-CD2*
CD2-CD2*
CD-CD*
HU-HU*
CD1-CDI*
ULD-LLD
- Spray Activation Sub-Cycle Note t'): Average Tempeiature 'E matl' used for Ranges 1-5 Note (2): EQ 1 and EQ 2 can be found in Section 8.2.4 2 Page 96a Prepared by:
T. Sorensen Reviewed by: T. Straka Date: 04/2007 Date: 04/2007
NORTH ANNA UNIrS 1 & 2 FRESSURIZER-SFRAY NOZZLE WELD OVERLAY ANALYSIS DOCUMENT NUMBER N ANT 32-9049386-000 Noxth Anna NON-PROPRIETARY Table 8-17
(
) Fatigue: SEPATH_3, Inside Node EVALUATION TITLE:
North Anna - Spray Nozzle Weld Overlay Analysis -SEPATH_3 (Inside Node)
Reference:
NA FatigueSafeEndMAXTOT out NAFatigue._SafeEndMAXTOTHU out NA_FatigueSafeEndMAXTOTCO out NAFatigue..SafeEndMAXJTOT._CDI out NA Fatigue SafeEndMAXTOT.CD2 out Material:
Type:
UTS (kel) =
mat] (psi) -
E The 'Peak SI Range' = Totar x Ke (as needed)
Range 1, 'Totae SI Range =
Range 2 Toter SI Range -
Range 3 Toter SI Range -
Range 4, Trotar SI Range =
Range 5, 'Toter SI Range =
Range 6. Tota! SI Range -
Range 7 Totar SI Range -
Range 8, 'Totar SI Range =
Range 9 'rotar SI Range a Range 10, Tota! SI Range =
Range 11, Totae SI Range =
Range 12 Toter SI Range a Range 13, Toter SI Range =
Range 14, Tota! SI Range =
Ke a Ke-Ke m Ke =
Ke a Ke=
Ke =
Ke,
Ke =
Ke =
Ke =
Ke.
Ke -
Ke =
Ke -
Prepared by:
Reviewed by:
T. Sorensen T. Straka Date: 04/2007 Date: 04/2007 Page 96b
NORIH ANNA UNITS 1 & 2 PRESSURIZER-SMRAY NOZZLE WED OVERLAY ANALYSIS A
DOCUB*NOI NUMBER MAN AR EVA 32-9049386-000 Noith Anna NON-PROPRIETARY Table 8-17
(
) Fatigue: SEPATH 3, Inside Node (Cont.)
Prepmaed by: T. Sorensen Reviewed by: T. Straka Date: 04/2007 Date: 04/2007 Page 96c
r Table 8-18
[
) Fatigue: SPATHI1, Outside Node
.VLUTITENNor Anna - Spray Nozzle Weld Overlay Analysis - SPATI-.1 (Outside Nods)
Reference:
NAFatigue.TSMAX_M+B.out NAFatiguejSMAXM+BBHU out NA_Fatigue..TSMAX._M+B._CD out NA_FatIgueTSMAX.M+B..CD1 out NAFatIgue_TSMAXM+BCD2 out Material:
Type:
UTS (ksl) -
E marl (psi),
E ratio -CE curve' I 'E matil')
RANGE TRANSIENTS WITH REQOD PEAK SI E
Eratio x ALLOWABLE USAGE NUMBER RANGE EXTREMES CYCLES RANGE E mart S aft CYCLES FACTOR "U" I
2 3
4 5
6 7
8 9
10 11 12 13 14 The 'Peak SI Range' = 'Memb + Bend' x Fatigue Strength Reduction Factor (FSRF) x Ke (as needed)
Range I 'Memb + Bend' SI Range =
FSRF =
Ke =
Range 2 'Memb + Bend' SI Range =
FSRF =
Ke m Range 3,'Memb + Bend' SI Range m FSRF -Ke
=
Range 4, 'Memb + Bend' SI Range =
FSRF =
Ke =
Range 5 'Memb + Bend' Sl Range =
FSRF =
Ke =
Range 6 'Memb + Bend' SI Range =
FSRF =
Ke =
Range 7, 'Memb 4 Bend' SI Range m FSRF a Ke =
Range 8 'Memb + Bend' SI Range =
FSRF =
Ke m Range 9, 'Memb + Bend' SI Range -
FSRF =
Ke =
Range 10, 'Memb + Bend' SI Range =
FSRF =
Ke =
Range 11, 'Memb + Bend' SI Range -
FSRF -
Ke =
Range 12 'Memb + Bend' SI Range =
FSRF =
Ke =
Range 13, Woemb + Bend' SI Range -
FSRF a Ke =
Range 14, Memb + Bend' SI Range =
FSRF -
Ke -
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". Straka Date: 04/2007 Date: 04/2007 Page 97
- .!i i
Table 8-18
(
J Fatigue: SPATH_1, Outside Node (Cont.)
- Temp, Temp 2 Average Sm Transient +
Location SI Range Temperature Extemal SI Range Ke Factor ksi
°F "F
- F ksi ksl LOL-SP CD-LOL CD-LT CD-LILD HU-HU U-HU-CD-CD*
I I
II II
- Spray Activation Sub-Cycle Note 0): Average Tempezature 'E mati' used for Ranges 1-7 Note (2): EQ I and EQ 2 can be found in Section 8 2.4 2.
I.
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Table 8-19
(
)
Fatigue: WPATH 2, Inside Node EVALUATIONNorm Anna - Spray Nozzle Weld Overlay Analysis - WPATH_2 (Inside Node)
TITLE:
Refemnce:NAjFatlgueSEWeldMAXTOT out NAFatigueSEWeldMAXTOTHU.out NAFatig ueSEWeIdMAX_TOT..CD out NAFatigueSEWeldMAXTOT.CCD1 out Material:
Type:
UTS (ksl) u E mad (ps)Q 1,oO E ratio =CE curve' 'E matl)
RANGE TRANSIENTS WITH REQ'D CYCLES PEAK SI Eratlo x ALLOWABLE USAGE FACTOR NUMBER RANGE EXTREMES 60 Years RANGE E n=t S alt S alt CYCLES IV.
2 3
4 5
6 7
8 9
10 11 12 13 14 15 The 'Peak SI Range' =Total' x Ke (as needed)
Range I 'Totar SI Range =
Ke =
Range 2, 'Totae SI Range -
Ke =
Range 3, 'Total' SI Range =
Ke -
Range 4, "Total' SI Range =
Ke =
Range 5 'Total' SI Range =
Ke =
Range 6, 'Total' SI Range -
Ke =
Range 7, 'Totar SI Range =
Ke =
Range 8 'Totae SI Range =
Ke =
Range 9, 'Totar SI Range -
Ke =
Range 10. 'Totar SI Range =
Ke =
Range 11, rTotar SI Range -
Ke =
Range 12, 'Totae SI Range m Ke =
Range 13, 'roter S1 Range,
Ke,
Range 14 'Totar SI Range =.Ke
=
Range 15, 'Totae SI Range,
Ke =
Prepared by:
Reviewed by:
T. Sorensen T. Straka Date: 04/2007 Date: 04/2007 Page 98
NORMH ANNA UNITS I & 2 PRESSURIZER - SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMENT NUMBER PT AR EVA 32-9049386-000 North Anna NON-PROPRIETARY Table 8-19 (
) Fatigue: WPATH_2, Inside Node (Cont.)
Note ('1: EQ I and EQ 2can be found in Section 8 242.
Prepared by: T. Sorensen Reviewed by: T., Straka Date: 04/2007 Date: 04/2007 Page 98a
Table 8-20 (
) Fatigue: ELPATH_1, Outside Node EVALUATION North Anna -Spray Nozzle Weld Overlay Analysis - ELPATH_1 (Outside Node)
TITLE:
Reference:
NAFatiguePipeMAX_M+B out NA,_Fatigue_PipeMAX_M+B_HU.out NA,_FatiguePipeMAX.M+4BCD.out NkFatlgue_PipeMAXM+BCD1 out NAFatIgue.ipeMAX)M+ BCD2 out Material:
Type:
UTS (ksi) -
mat] (psi) =
E RANGE TRANSIENTS WITH REQ'D NUMBER RANGE EXTREMESO' CYCLES 60 Years 2
3 4
5 6
7 8
9 10 11 12 13 f
I I
I I
I The 'Peak SI Range' = 'Merm + Bend' x Fatigue Strength Reduction Factor (FSRF) x Ke (as needed)
Range 1 'Memb + Bend' SI Range a FSRF =
Range 2, 'Memb + Bend' SI Range -
FSRF -
Range 3, 'Memb + Bend' SI Range =
FSRF =
Range 4, 'Memb + Bend' SI Range =
FSRF =
Range 5 'Memb + Bend' SI Range -
FSRF -
Range 6, 'Memb + Bend' SI Range =
FSRF -
Range 7, 'Memb + Bend' SI Range=
FSRF =
Range 8 'Memb + Bend' SI Range =
FSRF =
Range 9. 'Memb + Bend' SI Range -
FSRF =
Range 10, 'Memb + Bend' SI Range -
FSRF =
Range 11, 'Memb + Bend' SI Range =
FSRF =
Range 12, 'Memb + Bend' SI Range =
FSRF m Range 13, 'Memb + Bend' SI Range -
FSRF -
Ke=
Ke-Ke=
Ke=
Kea Ke=
Ke=
Ke=
Ke=
Keo Ke=
Ke=
Ke=
p0 Prepared by:
T. Sorensen Reviewed by: I. Straka Date: 04/2007 Date: 04/2007 Page 99
- Spray Activation Sub-Cycle Note r Note (2)
Note (3 )
Note 4 ): EQ 1 and EQ 2 can be found in Section 8.2 4 2.
Note (): External stresses for TH+OBE are firom Table 4-4 and external stresses fiom the TH load combinations in Table 4-1 are calculated using the same menthod and equations in Section 4 which air added by components See Iable 8-22.
Axial Stress Shem. Stress M+B Loading IoG x
_aBF xM OaM+1 Tjs I
S Sint S[ksi I [1i]i
[ksi]
[ksi]
[ksi]
[ksi]
[ksi]
I
[ksil TH, MAX WOL Outside Diameter ELPATH 111 I
2 Prepared by: T. Sorensen Reviewed by: TI. Straka Date: 04/2007 Date: 04/2007 Page 99a
Table 8-21(
) Fatigue: WOLI, Outside Node EVALUATION (usd TITLE:
North Anna - Spray Nozzle Weld Overlay Analysis - WOL..
(Outside Node)
Reference:
NA_Fatigue..WOLMAXM+B out NAFatigue_.WOLMAXMtBHU out NAFatigue.WOLMAXM÷B.CD out NAFatigueWOLMAX_M4-B_CDI out NAFatigueVWOLMAX_M÷B_CD2 out Material:
Type:
tITS (ksi) [
E~~ ma[(si E ratio -(CE curve'/I'E analysis')
RANGE TRANSIENTS WITH REQdt PEAK SF Eatio x ALLOWABLE USAGE CYCLES E maMl S aBt FACTOR NUMBER RANGE EXTREMES 60Yas RANGE S alt:
CYCLES ml Rag6,0Mmi-Bn'YIRn eas FSU"Ke 3
4 5
6 7
10 12 The 'Peak 51 Range'
'Meom + Bend' x Fatigue Strength Reduction Factor (FSRF) x Ke (as needed)
Range 1, 'Memb + Bend' SI Range -
FSRF =
Ke =
Range 2 'Memb + Bend' SI Range =
FSRF =
Ke =
Range 3, 'Memb
- Bend' SI Range f FSRF =
Ke =
Range 4, 'Memb
- Bend' SI Range FSRF =
Ke -
Range 5, 'Memb + Bend' SI Range FSRF a Ke =
Range 6 'Memb + Bend' SI Range =
FSRF =
Ke -
Range 7, 'Memb # Bend' SI Range -=
FSRF w Ke =
Range 8, 'Memb + Bend' SI Range -
FSRF w Ke =
Range 9. 'Memb + Bend' SI Range =
FSRF =
i Ke m, Range 10, 'Memb + Bend' Sl Range a FSRF =
Ke =
Range 11, 'Memb + Bend' SI Range =
FSRF,,a Ke =
Range 12, 'Memb + Bend' St Range =.
FSRF =
j Ke a Range 13, 'Memb + Bend' Sl Range,,-
FSRF =
Ke =
- Prepared by:
Reviewed by:
T. Sorensen T. Straka Date: 04/2007 Date: 04/2007 Page 100
NORIM ANNA UNIIS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMENI NUMBLR PLANT AR EVA 32-9049386-000 North Anna NON-PROPRIETARY Table 8-21[
) Fatigue: WOLI, Outside Node (Cont.)
- Spray Activati Note"o; EQ I can be found in Section 8.2 4 2 Page lOOa Prepared by: T. Sorensen Reviewed by: r. Straka Date: 04/2007 Date: 04/2007
Table 8-22 External Loads Added by Components Prepared by:
T. Sorensen Reviewed by: T. Straka Date: 04/2007 Date: 04/2007 Page 101
Table 8-22 External Loads Added by Components (Cont.)
C K
Prepared by:
- T.. Sorensen Reviewed by: 1. Straka Date: 04/2007 Date: 04/2007 Page tOla
NORTH ANNA UNIUS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMENI NUMBER PIM AR EVA 32-9049386-000 North Anna NON-PROPRIETARY t
Table 8-22 External Loads Added by Components (Cont.)
kI.
S-Prepared by:
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[.
- 9.
RESULTS
SUMMARY
/CONCLUSION Stress analyses of the spray nozzle weld overlay repairs for North Anna Unit 1 & 2 Pressurizeis are summarized in this report. Both the maximum and minimum overlay configurations are investigated.. The analyses demonstrate that the weld overlay designs satisfy the stress and fatigue requirements of the ASME Code (Reference 12,1).
The maximum primary + secondary membrane plus bending stress intensity ranges are listed in Table 9-1 for each component where path lines are defined. The cumulative fatigue usage factors r critical locations investigated are less than 1.0, with the highest usage factor being (Reference 12 7)
In conclusion, the spray nozzle with weld overlays satisfies the ASME Code primary plus secondary stress requirements as well as criteria against the fatigue failure. The primary stress criteria are satisfied as described in Section 8.1..
Table 9-1 Summary of Results Nozzle I
Nozzle Weld Safe End Calculated UrLit IR Calculated I Limit I IR Calculated I Lmi IR Primary SI See Section81 Max. SI Range PL+Pb+Q [ksi]
Fatigue Usage Thermal Sleeve Safe End Weld Pipe Calculated Limit IR Calculated LimitI IR Calculated Limit IR Primary SI See Section 8.1 Max. Sl Range PL+Pb+Q [ksq
]
Fatigue Usage Weld Overlay Calculated Limit JR Primary SI See Section 8.1 Max. SI Range I
I PL+Pb+Q [ksi]
Fatigue Usage I
Note (1): Primary + Secondary membrane plus bending stress intensity range excluding thermal bending stresses.
(2): Sm value is the average at the aveiage temperature of'two extreme time points, see Table 8-2.
Prepared by: T. Sorensen Reviewed by: T. Straka Date: 04/2007 Date: 04/2007 Page 102
- 10. SOFTWARE VERIFICATION The finite element analyses documented in this Ieport weie perfoimed using ANSYS vlO.0 software (Reference 12.10). Ihe suitability and accuracy of use of ANSYS vl1.0 was veiified by perfoiming the following verification iuns (Table 10-1).
Table 10-1 Software Verification Files No computer-output Is included with this document, The proprectary version of this document (32-9035736-002) contains computer output files which are attached to the proprietary version of this document and are available in the AREVA COLD storage system.
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T. Sorensen Reviewed by: T. Straka Date: 04/2007 Date: 04/2007 Page 103
- 11. COMPUTER OUTPUT FILES No computer output Is Included with this document. The proprietary version of this document (32-9035736-002) contains computer output files which are attached to the proprietaxy version of this document and are available In the AREVA COLD storage system.
-Prepared by: T. Sorensen Reviewed by: T. Straka Date: 04/2007 Date: 04/2007 Page 104
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NORTH ANNA UNITS 1 & 2 PRESSURIZER - SPRAY NOZZLE WELD OVERLAY ANALYSIS A
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NORTH ANNA UNITS I & 2 PRESSURIZER - SPRAY NOZZLE WELD OVERLAY ANALYSIS DOCUMENT NUMBER PLANI 32-9049386-000 North Anna NON-PROPRIETARY Blank Page Inserted To Maintain Page Numbering Prepared by:
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NORIM ANNA UNITS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUNLENT NUMBER P1 N AR EVA 32-9049386-000 North Anna NON-PROPRIETARY
- 12.
REFERENCES 12-1 ASME Code,Section III, Division 1, "Boiler and Pressure Vessel Code," 2001 Edition including Addenda through 200.3.
12.2 ASME Code,Section III, "Boiler and Pressure Vessel Code," 1968 Edition including Addenda through Winter 1968.
12.3 ASME Code, Section H, Section D, "ASME Boiler and Pressure Vessel Code," 2001 Edition including Addenda through 2003.
12.4 ASME Code,Section III, "Boiler and Pressure Vessel Code," 1971 Edition 12.5 AREVA Drawing 02-8016864C-005, "North Anna Pressurizer Spray Nozzle Design."
12..6 AREVA Drawing 02-8017175D-001, "North Anna Pressurizer Spray Nozzle Weld Overlay Design."
12.7 AREVA Document 51-9031151-002, "North Anna Pressurizer Nozzle Weld Overlays -
Technical Requirements."
12.8 AREVA Document 38-9034638-002, "Required Engineering Input for North Anna Pressurizer Weld Overlays, North Anna Power Station Units 1 & 2 "
12.9 AREVA Document NPGD-IM-500 rev D, NPGMAT, NPGD Material Properties Program, User's Manual (03/1985) 12.10 "ANSYS" Finite Element Computer Code, Version 10.0, ANSYS, Inc. Canonsburg, Pa 12.11 Keenan, J.H. Keyes, F.G.., "Thermodynamic Properties of Steam, First Edition," John Wiley & Sons, 1944.
12.12 "Comparison Guide to the ASME Boiler & Pressure Vessel Code," Volume 1, ASME Press, New York, 2002.
12.13 John F.. Harvey, "Theory and Design of Pressure Vessels," Second Edition, Van Nostran Reinhold, 1991.
12.14 AREVA Document 32-90.34391-003, "North Anna Units I & 2 Pressurizer Weld Overlay Sizing Calculation - Spray Nozzle.."
12.15 AREVA Document 51-9038545-002, "Material Propeities for North Anna Units 1 & 2 Pressurizer Nozzles" 12.16 AREVA Document 51-9036969-004, "Pressurizer Bounding Transients for North Anna Units 1 & 2."
1217 AREVA Document 38-9042859-000, Code Case N-740-1 (2-7-2007 Draft), "Dissimilar Metal Weld Overlay for Repair of Class 1, 2, and 3 Items,Section XI, Division 1." (This Code Case is not yet accepted by the NRC.)
-Prepared by:
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UIH ANNA UNIIS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS DOCULMEN NMER Pt ANT 2-9049386-000 Noith Anna NON-PROPRIETARY APPENDIX A Stresses used for Spray Nozzle Weld Overlay Fracture Mechanics Analysis
" Prepared by: -T. Sorensen.
Reviewed by: T. Straka Date: 04/2007.
Date: 04/2007 Page 114
NORMH ANNA UNiTS 1 & 2 PRESSURIZER-SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMENI NUMM PLmAN AR EVA 32-9049386-000 North Anna NON-PROPRIETARY A-1 PURPOSE The purpose of' this appendix is to provide supplemental stress and thermal results of the transient analysis for a Fiacture Mechanics Analysis of the spray nozzle weld overlay. To that end, stresses firom the minimum weld overlay configuration are provided.
A-2 STRESS AND TEMPERATURE EVALUATION The ANSYS Post Processor is used to tabulate the stresses and temperatures along the predetermined paths, The paths are shown in Figure A-1 and described in Table A-1 and Table A-2.. Note that all stresses and temperatures axe tabulated fiom the thermal and structmal riuns output files listed in section 8.2.2 except for HUCD.. They are tabulated fiora the extended files NAHUCD thmin _lest out and NAHUCDstmrin Test.out.
For post processor calculation, the definitions of these paths are contained in computer files:
PathsDef fi min.inp
- for stress and temperature min WOL evaluation Table A-1 Paths Description Min WOL Path Name Inside Node No.
Outside Node No.
FRI 5140 5983 FR2 5123 6051 FR3 5115 6054 FR4 5108 6021 FR5 8790 6000 tI Prepared by:
T., Sorensen Reviewed by: T. Straka Date: 04/2007 Date: 04/2007 Page 115
[
Figure A-1 Paths Defined for Fracture Mechanics Evaluation (MIN WOL Shown)
Stresses along the path line awe summmized at twelve points separated by an equal distance fiom the inside node to the outside node.. At each point: the axi.al.(ongitudinal, SO) stress and the
. Prepared by: -:T. Sorensen Reviewed by: T. Straka Date: 04/2007 Date: 04/2007 Page 116
corresponding temperature of the nozzle are given The path point distances fioom the inside node are included in the output files as listed in Section 11 with "_PathLocs" in their names.
ANSYS post-processing output files are also listed in Section 11 and stress and temperature result files for fiactue mechanics are listed on Table A-3.
In addition, files with "_PathDisc" in their names, listed in Section 11, provide path point distances from the inside node including the location at the dissimilar material interface for each path (two path points, one just before and one just after the material discontinuity, define the location of the material interface).. No post processing are obtained at these path points; this information is provides for reference only.
Table A-2 Stress and Temperature Result Files for Fracture Mechanics Evaluation No computer output Is Included with this document, The proprietary version of this document (32-9035736-002) contains computer output files which art attached to the proprietary version of this document and are available in the AREVA COWD storage system.,
Page -117 Prepared by: T. Sorensen Reviewed by: T. Straka Date: 04/2007 Date: 04/2007
APPENDIX B Justification of Using Insufficient Length of Weld Overlay
..-Prepared by" Reviewed by:
.-T. Sorensen T. Stnaka Date: 04/2007 Date: 04/2007 Page 118
B-1 PURPOSE The purpose of'this Appendix is to examine stress distribution in the North Anna Spray Nozzle components and to justify the deficient length of weld overlay on the nozzle side calculated in Reference 12.14.
B-2 ANALYTICAL METHODOLOGY By Reference 12.17, the length of the weld overlay should extend at least 0.75 (Rt,,) beyond each end ofthe observed crack, where R and tn are the outside radius and nominal wall thickness of the pipe prior to depositing the weld overlay. This requirement is intended to provide enough length to attenuate stresses in case of stress concentration due to crack initiation. Because of the existing short length of the Spray Nozzle analyzed in the main body of this document, the above requirement was not satisfied and therefore shoiter length for the weld overlay was used. The main focus of this Appendix is to look closely at the stress distribution for' the Spray Nozzle thin weld overlay configuration under the conservative assumption of the total loss of buttering and weld between nozzle and safe end.
For this sake the finite element model for the thin weld overlay created in the main body of this document was tested under design pressure and external applied loads. The dead weight loads are listed in Table 1 of Reference 12.14. The OBE and Thermal loads are taken fioro Tables 6-1 through 6-2 of Reference 12.16. All elements pertain to the weld and buttering between the safe end and nozzle body were eliminated. The modified geometry used in this analysis is documented in NASprayWOL Geo2.out. Also, it is important to note that since the model created in the main body of this document uses 2-D axisymmettic elements and some of the applied external loads are non-axisymmetric, special 2-D elements were needed to address this issue Consequently, all the elements were changed to PLANE 83 which allows the application of non-axisymmetric loads on an axisymmettic model. The detailed description of'this element is listed in ANSYS Manual, Reference 12.10..
B-3 BOUDNARY CONDISIONS The geometric boundary conditions for the model remained the same as it is described in the main body of this document. The external loads are conservatively assumed to be applied at the top of the external pipe and their application to the model is described as follows:
First, unit loads are applied on the model, and in the second step, the unit loads are scaled and combined such that they are representative of the different external loads (DW, Design Pressure, Thermal (IH), and OBE). Five different unit load cases me evaluated for the thin weld overlay configuration. 1) Unit, 1 kip, axial load, 2) Unit, 1 kip-in, torsion, 3) Unit, I kip, shear,.4) Unit, I kip-in, bending, 5) Unit, I ksi, pressure. All unit loads ate applied at the end of the modeled external spray piping with an exception of'the unit pressure load applied on the internal surfaces.
Prepared by:
T. Sorensen Date: 04/2007 Page 119 Reviewed by: T. Straka Date: 04/2007
w The unit axial, unit torsion and unit pressure load cases can be represented by the constant term of'a harmonic function series in particular the Forier sefies, Reference 12.10.. Ihe unit shear and unit bending load cases can be represented by the first harmonic, either symmetric cosine or antisymmetric sine function of the Fourier series Reference 12-10. While the unit bending moment can be described by a single harmonic load applied perpendicular to the cross section, the unit shear uniform lateral load is composed of two harmonic components applied in two perpendicular directions in the plane of the cross section. Since all the considered load cases can be exactly represented by either the constant or first harmonic terms of' the Fourier series, no Fourier series expansion of the non-axisymmetric loads is necessary The ANSYS files describing the unit external loads are contained in NA_SptayNWOLExtLoad2.out, Table B-1 and SymmetryCondmin.inp, Table 12-4..
Due to the axisymmetry of the geometries only two load combinations need to be defined for each model (DW + Design Pres~ute + TH + OBE) and (DW+ Design Pressure + TH - OBE).
The shear and bending moment components are combined using the square root of the sum of the squares Fs= V (F( + F2 ) and foi moment A4b= V(M* + M,) and since the first load combination produces higher stresses the stress intensity contour plot for this load combination is shown in Figure B-i. It is important to mention that the axial load here is considered to be Fy aligned to the axis of' axisymmetry y. However, these loads are labeled Fx in Reference 12.16. The stress output for the aforementioned load combinations is contained in output file NA_SprayNWOL_Combload2..out.
B-4 RESULTS AND CONCLUSIONS It is clear fiom Figure B-1 that the existing length ofthe weld overlay provides enough material to attenuate the stresses (due to design pressure and external loads) effectively. It is important to note that the comparison with ASME Code limits are documented in the main body of this document and this Appendix is intended to only verify the stress attenuation under conservative assumption oflosing the entire weld between safe end and nozzle.
-Prepared by:
T. Sorensen Date: 04/2007 Page 120 Reviewed by: T. Straka Date: 04/2007
NORTH ANNA UNITS 1 & 2 PRESSURIZER - SPRAY NOZZLE WELD OVERLAY ANALYSIS A
DOCUMt"N NUMBER PMANI AR EVA 32-9049386-000 Noith Anna NON-PROPRIETARY Figure B-i: Stress Intensity Contour for the Thin Weld Overlay Configuration No computer output Is Included with this document. The proprietaty version of this document (32-9035736-002) contains computer output files which are attached to the proprietary version of this document and are available In the AREVA COLD storage system.
Prepared by:...T. Sorensen Reviewed by: T. Straka
- Date: 04/2007* -
Date: 04/2007 Page 121