DCL-14-028, Areva Calculation No. 32-9219780-000, Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis.
Text
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-Withhold Under 10 CFR 2.390 Attachment 11 PG&E Letter DCL-14-028 AREVA Calculation No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Attachments 2 through 7 to the Enclosure contain Proprietary Information When separated from Attachments 2 through 7, this document is decontrolled.
Controlled Document 0402-01-FO1 (Rev. 018, 01/30/2014)
A CALCULATION
SUMMARY
SHEET (CSS)AREVA Document No. 32 -9219780 -000 Safety Related: M Yes [-i No Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Title Nnn-Prnpriptary PURPOSE AND
SUMMARY
OF RESULTS: PURPOSE: The purpose of this calculation is to qualify the Diablo Canyon Unit 2 safety/relief nozzle weld overlay design to the requirements specified in Reference
[5].
SUMMARY
OF RESULTS: The calculation demonstrate that the design of the Pressurizer safety/relief nozzle weld overlay for the Diablo Canyon Unit 2 meets the stress and fatigue requirements of the Design Code (Reference
[3]).Based on the loads and cycles specified in References
[6] and [8], the conservative fatigue analysis indicates that Pressurizer safety/relief nozzle weld overlay design has the maximum usage factor of [ ] for specified number of cycles per Reference
[6] compared to the ASME Code allowed maximum value of 1.0.This document is the Non-Proprietary version of 32-9049114-003.
Proprietary information is contained within bold square brackets "[ 1".*The 108 pages include pages 1, 1A, 2 through 4, 4A, 5 through 106.THE DOCUMENT CONTAINS ASSUMPTIONS THAT SHALL BE THE FOLLOWING COMPUTER CODES HAVE BEEN USED IN THIS DOCUMENT:
VERIFIED PRIOR TO USE CODENERSION/REV CODENERSION/REV r-'- E LiYES ANSYS 11.0 (Rev. 000) OS(Rev 000): Not known Z NO ANSYS 14.0 (Rev. 002) OS(Rev 002): Windows 7 Page 1 of 108*
Controlled Doc Mont A 0402-01-FOl (Rev. 018, 01/30/2014)
AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Review Method: [n Design Review (Detailed Check)R Alternate Calculation Signature Block PIRIA Name and Title and Pages/Sections (printed or typed) Signature LPILR Date PreparedlReviewed/Approved Silvester Noronha W P All Pages Principal Engineer Samer Mahmoud Principal Engineer R 2 All Pages (Detailed Check)Ti .VieManager 3A1. Al Tim M. WMger A All Pages Note: P/R/A designates Preparer (P), Reviewer (R), Approver (A);LP/LR designates Lead Preparer (LP), Lead Reviewer (LR)Project Manager Approval of Customer References (N/A if not applicable)
Name Title (printed or typed) (printed or typed) Signature Date N/A N/A N/A N/A Mentoring Information (not required per 0402-01)Name Title Mentor to: (printed or typed) (printed or typed) (PIR) Signature Date N/A N/A N/A N/A N/A Page 1A Controlled Document A 0402-01-FOl (Rev. 018, 01/30/2014)
AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Record of Revision Revision Pages/Sections/Paragraphs No. Changed Brief Description
/ Change Authorization 000 All Original Release 000 All Non- Proprietary Document for 32-9049114-003 I +i +-I-I ++ 4+ 4-4 4 I- 4 4 4 Page 2 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table of Contents Page SIGN A TU RE BLO CK ....................................................................................................................
IA RECO RD O F REV ISIO N ...................................................................................................................
2 TABLE OF CONTENTS .........................................................................................................................................
3 LIST OF FIGURES ..................................................................................................................................................
4 LIST OF TABLES .................................................................................................................................................
5 1 PURPO SE .........................................................................................................................................................
7 2 ANALYTICAL M ETH ODOLOGY ....................................................................................................
.8 3 KEY ASSUM PTIONS ...................................................................................................................................
9 4 DESIGN INPUT .................................................................................................................................................
9 4.1 GEOM RETRY ..................................................................................................................................................
9 4.2 FINITE ELEMENT M ODEL .............................................................................................................................
9 4.3 M ATERIALS ...............................................................................................................................................
11 4.4 BOUNDARY CONDITIONS
...........................................................................................................................
15 4.5 LOADS .......................................................................................................................................................
18 4.5.1 External Loads .....................................................................................................................................
18 4.5.2 Design Conditions
...............................................................................................................................
19 4.5.3 Operational Transient Loads ..........................................................................................................
19 5 CAL CULATION ..............................................................................................................................................
30 5.1 DESIGN CONDITION
..................................................................................................................................
30 5.2 THERMAL ANALYSIS .................................................................................................................................
32 5.3 STRESS ANALYSIS .....................................................................................................................................
53 5.4 ASM E CODE CRITERIA .............................................................................................................................
60 5.4.1 ASME Code Primary Stress Intensity (SI) Criteria ........................................................................
60 5.4.2 ASME Code Primary + Secondary SI Range and Fatigue Usage Criteria ....................................
60 6 RESULTS
SUMMARY
/CONCLUSIONS
...........................................................................................
76 7 REFERENCES
................................................................................................................................................
77 8 COM PUTER OUTPUT FILES ......................................................................................................................
78 APPENDIX A .............................................................................................................................................................
82 A-i PURPOSE .......................................................................................................................................................
83 A-2 STRESS AND TEMPERATURE EVALUATION
.................................................................................
83 APPENDIX B -Comparison of ANSYS 11.0 and 14.0 Results .......................................................
85 APPENDIX C -Stresses for Safety Nozzle WOL Fracture Mechanics Analysis for Outage 2R17 ..99 Page 3 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary List of Figures Page Figure 1 Finite Elem ent M odel .................................................................................................
10 Figure 2 Finite Element Model Details of Buttering, Nozzle to Safe End Weld, Safe End, Safe End to Pipe Weld and Weld Overlay) ..............................................................................
10 Figure 3 Surfaces for Thermal Boundary Conditions (Temperature)
.......................................
16 Figure 4 Surfaces for Structural Boundary Conditions (Pressure)
...........................................
17 Figure 5 Deformed Shape vs. Un-Deformed Shape ................................................................
30 Figure 6 Stress Intensity Contours for Design Condition
.......................................................
31 Figure 7 Locations for Evaluation of Temperature Gradients
..................................................
33 Figure 8 Temperatures of Selected Locations (HUCD) ...........................................................
34 Figure 9 Thermal Gradients of Selected Locations (HUCD) ..................................................
35 Figure 10 Temperatures of Selected Locations (LDLI) ............................................................
36 Figure 11 Thermal Gradients of Selected Locations (LDLI) ...................................................
37 Figure 12 Temperatures of Selected Locations (LLD) ...........................................................
38 Figure 13 Thermal Gradients of Selected Locations (LLD) .....................................................
39 Figure 14 Temperatures of Selected Locations (LOL) ...........................................................
40 Figure 15 Thermal Gradients of Selected Locations (LOL) .....................................................
41 Figure 16 Temperatures of Selected Locations (LOP) ...........................................................
42 Figure 17 Thermal Gradients of Selected Locations (LOP) ....................................................
43 Figure 18 Temperatures of Selected Locations (LOF) ...........................................................
44 Figure 19 Thermal Gradients of Selected Locations (LOF) ....................................................
45 Figure 20 Temperatures of Selected Locations (RT) ..............................................................
46 Figure 21 Thermal Gradients of Selected Locations (RT) .......................................................
47 Figure 22 Temperatures of Selected Locations (TRT) ...........................................................
48 Figure 23 Thermal Gradients of Selected Locations (TRT) ....................................................
49 Figure 24 Temperatures of Selected Locations (IASA) ...........................................................
50 Figure 25 Thermal Gradients of Selected Locations (IASA) ..................................................
51 Figure 26 Temperatures of Selected Locations (SVO) ............................................................
52 Figure 27 Thermal Gradients of Selected Locations (SVO) .....................................................
53 Figure 28 Path Lines for Stress Analysis .................................................................................
62 Figure 29 Partial Path Lines for Stress Analysis ....................................................................
63 Figure A -1 Paths Defined for Fracture Mechanics Evaluation
..............................................
84 Figure B-I Stress Intensity Contours for Design Condition using ANSYS 14.0 ........................
85 Figure B-2 Temperature of Selected Locations (HUCD) using ANSYS 14.0 ...........................
86 Figure B-3 Thermal Gradients of Selected Locations (HUCD) using ANSYS 14.0 ..................
87 Page 4 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary List of Figures (continued)
Page Figure B-4 Temperature of Selected Locations (LDLI) using ANSYS 14.0 ..............................
88 Figure B-5 Thermal Gradients of Selected Locations (LDLI) using ANSYS 14.0 ....................
89 Figure C-i Safety Nozzle "A" Indication Plot .................................................................................
99 Figure C-2 Safety Nozzle "B" Indication Plot ....................................................................................
100 Figure C-3 Safety N ozzle "C" Indication Plot ....................................................................................
100 Figure C-4 Path Lines Defined for Fracture Mechanics Evaluation
...............................................
101 Figure C-5 Radial Stress at Time [ (hr) in HUCD ...................................................................
104 Figure C-6 Shear Stress at Time ] (hr) in HUCD ....................................................................
104 Figure C-7 Radial Stress at Time ] (hr) in HUCD ................................................................
105 Figure C-8 Shear Stress at Time [ (hr) in HUCD ..................................................................
105 Figure C-9 Radial Stress at Time ] (hr) in IASA ....................................................................
106 Figure C-10 Shear Stress at Time [ ] (hr) in IASA ..............................................................
106 Page 4A Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary List of Tables Page Table 1 Pressurizer Upper Head Material Properties
...............................................................
12 Table 2 Safety/Relief Nozzle Material Properties
....................................................................
13 Table 3 Safe End Material Properties
.......................................................................................
13 Table 4 Safe End to Liner Weld, Nozzle to Safe End Weld and Buttering Material Properties..
13 Table 5 Safe End to Pipe Weld, Cladding and Liner Material Properties
...............................
14 Table 6 Pipe Material Properties
..............................................................................................
14 Table 7 Weld Overlay Material Properties
................................................................................
14 Table 8 Applicable External Loads ............................................................................................
18 Table 9 Summary of External Loads .........................................................................................
18 Table 10 Transients for Safety/Relief Nozzles .........................................................................
19 Table 11 Heatup and Cooldown (HUCD) ................................................................................
20 Table 12 Step Load Increase and Decrease (LILD) ....................................................................
21 Table 13 Large Step Load Decrease (LLD) ..............................................................................
22 Table 14 Loss of Load (LOL) ..................................................................................................
23 Table 15 Loss of Power (LOP) ................................................................................................
24 Table 16 Loss of Flow (LOF) ..................................................................................................
25 Table 17 Reactor Trip (RT) .......................................................................................................
26 Table 18 Turbine Roll Test (TRT) ............................................................................................
27 Table 19 Inadvertent Auxiliary Spray Actuation (IASA) .........................................................
28 Table 20 Safety/Relief Valve Opening Transient (SVO) .........................................................
29 Table 21 Temperature Gradients of Interest ...........................................................................
32 Table 22 Time Points of Interest for the HUCD Transients
....................................................
54 Table 23 Time Points of Interest for the LDLI Transients
......................................................
55 Table 24 Time Points of Interest for the LLD Transients
.........................................................
56 Table 25 Time Points of Interest for the LOL Transients
.........................................................
57 Table 26 Time Points of Interest for the LOP Transients
.........................................................
57 Table 27 Time Points of Interest for the LOF Transients
.........................................................
58 Table 28 Time Points of Interest for the RT Transients
...........................................................
58 Table 29 Time Points of Interest for the TRT Transients
.........................................................
58 Table 30 Time Points of Interest for the IASA Transients
.......................................................
59 Table 31 Time Points of Interest for the SVO Transients
.........................................................
59 Table 32 Path Lines for Linearized Stresses ............................................................................
61 Table 33 Geometric Characteristics of Path Line Cross-Section
..............................................
64 Table 34 Maximum Primary + Secondary SI due to External Loads .......................................
65 Page 5 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary List of Tables (continued)
Page Table 35 Summary of Maximum Primary + Secondary SI Ranges for Membrane + Bending Stresses ..................................................................................................................................
67 Table 36 PATH9 -outside node of Maximum Primary + Secondary SI Range for Membrane +Bending Stress Components
............................................................................................
68 Table 37 Stress Category and FSRF in Fatigue Evaluation
.....................................................
69 Table 38 Relief/Safety Nozzle, Head Fatigue Usage Calculation
............................................
70 Table 39 Buttering, Nozzle to Safe End Weld Fatigue Usage Calculation
.............................
71 Table 40 Safe End Fatigue Usage Calculation
.........................................................................
72 Table 41 Safe End to Pipe Weld Fatigue Usage Calculation
.....................................................
73 Table 42 Pipe Fatigue Usage Calculation
.................................................................................
74 Table 43 Weld Overlay Fatigue Usage Calculation
................................................................
75 Table 44 Summary of Results ...................................................................................................
76 Table 45 List of Relevant ANSYS Input and Output Files ......................................................
78 Table A -1 Paths D escription
...................................................................................................
83 T able B -1 C om puter F iles .................................................................................................................
90 T able C -I Path Lines D escription
......................................................................................................
101 Page 6 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary I PURPOSE It is well recognized that the Alloy 600/82/182 dissimilar metal welds (DMW) are susceptible to the primary water stress corrosion cracking (PWSCC), especially those in high temperature components such as pressurizer nozzles. Pacific Gas and Electric (PG&E) plans to mitigate the pressurizer nozzle Alloy 82/182 dissimilar metal welds (DMW) with structural weld overlays (SWOL) for the Diablo Canyon Unit 2 during the spring 2008 refueling outage for Unit 2.Since the three safety nozzles have the same dimensions with the relief nozzle (Reference
[1]), only one design is created based on the minimum weld overlay design (Reference
[11]); the results also bounded maximum weld overlay design (Reference
[11]). Detailed sizing calculation of the weld overlay has been documented in Reference
[2] for the safety and relief nozzles.The pressurizer safety/relief nozzles are located on the upper head of the pressurizer.
The weld overlay is designed to cover both the Alloy 82/182 DMW and the austenitic stainless weld between the safe end and nozzle or piping. Application of weld overlays alters the local stress distribution.
A detailed finite element analysis (FEA) is therefore conducted to investigate stress conditions under various operational transients.
The results are summarized in this report to certify that criteria per ASME Code Section III for Class 1 components, Reference
[3], are satisfied for the pressurizer safety/relief nozzle with weld overlays.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, stainless steel weld between the safe end and piping, safe end, DMW between the safe end and nozzle, safety/relief nozzle and SWOL. In addition, post-processing of thermal and structural results is performed to provide data for fracture analysis of the safety/relief nozzle (see Appendix A).It should be noted that the original safety/relief nozzle configuration without the weld overlay is not analyzed in this calculation.
The application of the SWOL will increase the secondary stress.due to thermal gradients and added discontinuities at the SWOL to pipe, and SWOL to nozzle junctures.
The cumulative fatigue usage factors calculated in this document assume the safety/relief nozzle SWOL has been in place since the plant conception.
Therefore, the usage factors calculated will be higher than the actual usage factors based on summing safety/relief nozzle's usage prior to SWOL and usage with the SWOL.The purpose of this calculation is to qualify the weld overlay design to the requirement specified in Reference
[8]. The design is qualified to meet the criteria and fatigue requirements of the Reference
[3].The purpose of revision 002 is to provide stress and thermal results of the transient analysis for fracture mechanics of the safety nozzle weld overlay for the indications detected based on the results of 2013 outage (2R17) inservice inspection.
The purpose of revision 003 is to incorporate customer comments.Page 7 Controlled Document.A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary 2 ANALYTICAL METHODOLOGY The general methodology of the stress analysis consists of: 1) Only the minimum SWOL will be modeled and evaluated.
Based on past experience, the stresses due to transients had minor differences between the maximum SWOL and minimum SWOL, and the minimum SWOL stresses due to external loads control over the maximum SWOL. Therefore, it is reasonable to evaluate the minimum SWOL only.2) Building 2-D models of the safety/relief nozzle minimum weld overlay and adjacent part of the pressurizer upper head. The model incorporates the geometry (of the adjacent upper head, nozzle, safe end, welds, weld overlay, pipe) of the pressurizer safety/relief nozzle (Reference
[1] & [11]), appropriate materials and boundary conditions.
The 2-D model is converted into a 2-D finite element model with axisymmetric 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 11.0 (Reference
[4])3) Applying the design conditions of the pressure and temperature to the structural finite element model and obtaining the deformation and stresses in the model. The deformation field is used to verify the correct behavior of the model and correct modeling of the boundary and load conditions.
- 4) Applying the thermal loads pertaining to the service level transients (in the form of transient temperatures and corresponding heat transfer coefficients versus time). Each of the major service level transients requires a separate run on the thermal finite element model.5) Reviewing the results of the thermal analysis by examining the magnitude of temperature difference between key locations of the model. The time points of the maximum temperature gradient are those at which the maximum thermal stresses develop.6) Applying the corresponding mechanical (pressure) and thermal (nodal temperature) loads at each time point identified in step 4 to the structural finite element model. Since the weld overlay 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 from a free 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 free 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 3Sm criteria and to obtain the maximum Ke factor. 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.
- 7) Hand calculating the effects due to nozzle external loads and adding the resulting stresses to the stress results due to pressure and temperature effect.8) Comparing the results to the ASME Code criteria for acceptability.
- 9) Documenting stresses and temperatures for the fracture mechanics analysis of the safety/relief nozzle weld overlay design.Page 8 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary 3 KEY ASSUMPTIONS There are no major assumptions for this calculation.
Minor assumptions are noted where applicable.
4 DESIGN INPUT 4.1 Geometry The detailed dimensions of the safety/relief nozzle design are shown in Reference
[1]. Major dimensions in building the finite element model include: pressurizer upper head inside radius[ to base metal) and base metal thicknes{
.]nozzle ID[ ]md OD[ Iat nozzle end); pipe at the safe end weld j1[. ])nd OD[ br safety/relief nozzle.Two weld overlay configurations are provided for the safety/relief nozzles (Reference
[11]) in terms of the overlay size -the minimum and maximum weld overlay. The minimum weld overlay has a thickness o4[ .]measured from the nozzle end outside surface, at the Alloy 82/182 DM weld and is tapered on to the pipe covering the weld at the safe end-pipe connection.
4.2 Finite Element Model One finite element models is built based on the minimum weld overlay design. Model is developed with ANSYS 11.0 (Reference
[4]) and documented in the following computer file: DC2_geo.out The 2-D model is meshed with the 8-node PLANE 183 elements in the structural analysis and all elements are replaced by the equivalent thermal elements PLANE77 in the thermal analysis.
The meshed model is shown in Figure 1 and Figure 2.Finite element model is built with the liner attached to the inside surface of the nozzle. Where in the field the liner is inserted inside of the nozzle and welded at the ends. To study the effect of this discrepancy at the same analysis, the influence is negligible without any effect on final results.The largest contribution to the stresses is due to a thermal effect. The interface between the inserted liner and the nozzle is considered to have a higher thermal conduction resistance than the fused cladding (modeled configuration).
This resistance could be significantly increased during a cool down transient when a separation of the liner and the nozzle could occur, decreasing thermal stresses.
A sensitivity study was performed on similar nozzle to simulate the effect on stresses due to heat transfer reduction during the liner separation.
The sensitivity study concluded that the fused or inserted liners produced similar stresses (+/- 2 % difference which is negligible for this type of nozzle).Page 9 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary IPipe Safety/Relief Nozzle I Pressuri2_er Upper Head Cladding Figure I Finite Element Model~---Safe End to Pipe Weld I dSafe End I Nozzle to S Buttering Safe End to Liner Weld Nozzle Liner afe End Weld"Weld Overlay Figure 2 Finite Element Model Details of Buttering, Nozzle to Safe End Weld, Safe End, Safe End to Pipe Weld and Weld Overlay)Page 10 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary 4.3 Materials Reference
[5] provides the material designations and properties of the various components.
Per the same reference, the material properties for the structural analysis shall be in accordance with ASME Code 1965 Edition including Addenda through Summer 1966 (Reference
[12]) for existing material and ASME Code 2001 Edition including Addenda through 2003 (Reference
[3]) for weld filler material.
Since not all materials and material properties for existing components are provided by Reference
[12], later Addenda or Editions of the ASME Code (Reference
[13], Reference
[14], and Reference
[15]) were used to determine the remaining material properties.
Pressurizer Upper Head Safety/Relief Nozzle Safe End Nozzle to Safe End Weld Buttering Weld Pipe Safe End to Pipe Weld Cladding Nozzle Liner Safe End to Liner Weld Weld Overlay (2)Note (1): Per Ref. [5] par. 4.1.5 and 4.1.7 specifies that the cladding material properties should be equivalent to[ ]veld filler material and the existing pipe to safe end weld is[ justenitic stainless steel. These materials are used for welding components with similar chemical composition such as[' ,]material.
Therefore materia( is considered representative of these materials.
Note (2): Per Ref. [5] par. 4.2.2 specifies materia[ ] for the "Barrier Layer." This very thin layes[ .JReference
[11]) is not modeled in detail in this analysis and is covered by the weld overlay filler material.
The effect on the results is negligible.
The analysis herein uses the thermal properties
-mean coefficient of thermal expansion (a), specific heat (C), thermal conductivity (k) and the mechanical properties
-modulus of elasticity (E), Poisson's ratio (p), density (p). These pertinent properties (thermal & structural) for the materials are listed in the following tables.Page 11 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Young's Modulus E [106 psi]Poisson's Ratio ýL [-]Density p [lb/in3]Coefficient of Thermal Expansion a [10-6 in/in-0 F]Thermal Conductivity k [Btu/hr-in-PF]
Specific Heat C [Btu/lb-°F]
Design Stress Intensity Sm [ksi]Yield Strength Sy [ksi]Tensile Strength S. [ksi](C is a calculated value: C = k/(p
- thermal diffusivity) where thermal diffusivity is taken from the same source as '17)Note: Values for Coefficient of Thermal Expansion in Table 1 through Table 6 were taken from Reference
[13] (ASME Code, 1965 Edition including Addenda through Winter 1967) instead of the main source of the material properties
-Reference
[12] (ASME Code, 1965 Edition including Addenda through Summer 1966). The small negligible differences have no effect on the results in the documented analysis.Table I Pressurizer Upper Head Material Properties I E ' I Temp i E I I p Ia k C cSm l Sy ISu-I Reference I [121 I typical I [16] I [131 I [151 I calculated
[141 I[14] I [141 I I m Page 12 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 2 Safety/Relief Nozzle Material Properties Temnp E Ip Ip a IcC S y S Reference
[12] typical [16]I [13] 1 [15] calculated1
[13] 1 [13] ( [13]Table 3 Safe End Material Properties Temp E .p p a Ik IsClscI Sy l S IReference
[12] typical [16] 1 [13] 1[15] 1 calculated1
[12] 1 [12] 1 [12]I Table 4 Safe End to Liner Weld, Nozzle to Safe End Weld and Buttering Material Properties Teemp E I p Ip a k C Sm Sy Su I I Reference
[12] typical 116] 1 [13] 1 [15] 1 calculated1
[13] 1 [13] 1 [13]I Page 13 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 5 Safe End to Pipe Weld, Cladding and Liner Material Properties I I,+/- p a I C I 4 Ism I Sy I su I.-Reference
[12] typical [16] 1 [13] 1 [15] 1 calculated
[12] [12] [12]Table 6 Pipe Material Properties I p E I Temp IE" 1 I p' p a Ik C ISm Sy ISu I Reference1
[12] 1typical 1 [16] 1 [13] 1 [15] calculated
[12] [12] [12] =Note (1): Small differences in E used in ANSYS input file have negligible impact on the results.Table 7 Weld Overlay Material PropertiesI p a k *C I S I1Sy Su-Reference
[3] typical [16] 1 [3] [3] calculated
[3] 1 [3] [3]Page 14 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary 4.4 Boundary Conditions The model simulates, in 2-D space, a section of the safety/relief nozzle, safe end, related welds, pipe, and part of the adjacent pressurizer upper head.Thermal Analysis:
During operation, the inside surfaces of the Upper Head (INSHEAD), the inside surface of the Nozzle, Nozzle to Safe End Weld, Safe End, Safe End to Pipe Weld and Pipe (INSNOZ) are in contact with the pressurizer steam temperature.
An appropriate heat transfer coefficient (HTC) and bulk temperature (3BT) versus time is applied on these surfaces (Figure 3). The pressurizer steam temperature varies with time depending upon the service load condition that is being applied and is discussed further in section 4.5.3.The outside surfaces of the Upper Head, Nozzle, Pipe and Weld Overlay (OUTHEAD) are exposed to the ambient temperature in conjunction with a small HTC. The safety/relief nozzle is assumed to be insulated.
A very small HTC of bTU/hr-in 2-F is used in this calculation.
Structural Analysis:
Pressurizer steam pressure is applied to all surfaces of these components:
INSHEAD, INSNOZ (Figure 3 and Figure 4). The upper end of the reducer (ENDCAP) has a pressure, p*, applied to represent the hydrostatic end load from the piping closure. The exteriors of the pressurizer head are not loaded by pressure.Pressure p* is calculated as follows:*= p.d 2 Where: p = actual pressure applied d = ID of the pipe D = OD of the pipe The boundary conditions for the structural analysis are set to have zero displacement in the circumferential direction (CF) (from the nozzle axis) (Figure 4).Page 15 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 3 Surfaces for Thermal Boundary Conditions (Temperature)
Page 16 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 4 Surfaces for Structural Boundary Conditions (Pressure)
Page 17 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary 4.5 Loads Loads applied to the model include temperatures and heat transfer coefficients for the thermal analysis, and internal pressures for the structural analysis.
External forces and moments are evaluated by hand calculation and added to the results from the finite element analysis.4.5.1 External Loads The applicable external loads applied at the safe end are defined in Reference
[6] and [7]. The Thermal Expansion (TH), OBE and Valve Operating (VO) loads are listed in Table 8 and Table 9 and are further evaluated in Section 5.4.2.1 for primary + secondary SI Ranges.Table 8 Applicable External Loads Axial I Fv I Fz I 'torsional I MV Mz Load Cases rlbsl r Ibsl fbsl I n-,bsiI ,in-lbs1 F ,in-lbsi Thermal (TH)OBE (.+)Valve Operating (VO)External Load Combination per Ref. [6 , TH+OBE TH+VO L .1 1 Max. applicable External Loads for Thermal, OBE, Valve Operating Max (TH+OBE, TH+VO I Note (1): Loads are enveloped from loads on page 8, 9, 10 and 11 of Reference
[6]. All other loads are taken from Table 2B of Reference
[6].Table 9 Summary of External Loads Axial Fy Fz Shear (1) Torsional My Mz Banding Jlbs] [lbs] ibs] Jlbs] Fin-lbs] [in-lbs] [in-lbsl [in-lbs]Max (TH+OBE, TH+VO)Note (1): Shear is calculated as the SRSS of Fy and Fz.Note (2): Bending is calculated as the SRSS of My and Mz.Page 18 Controlled Document A ARE VA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary 4.5.2 Design Conditions Diablo Canyon Units 1 & 2 pressurizer is designed to satisfy the applicable ASME Code criteria at the design pressure o4[ ]psig and temperature of[ ]are assuming.
These design conditions are simulated on the model by applying a uniform and reference temperature of[ 1 throughout the model (the temperature is used to determine the material properties and not for thermal expansion) and uniform pressure of[ Ipsig on all inside surfaces of the model.Equivalent end cap pressure is also applied on the pipe cross-section.
4.5.3 Operational Transient Loads The safety/relief nozzles are located on top of the pressurizer such that the inside surfaces are subjected to the pressurizer steam region thermal and pressure conditions.
The applicable Level A (Normal) and Level B (Upset) transients defined in References
[6] and [8] are listed in Table 10 together with the corresponding number of cycles. Some transients such as Steady State Fluctuations and Boron Concentration Equalization are insignificant in fatigue evaluation and are neglected.
NB 3226 (e) of ASME Code (Ref. [3]) does not require evaluation for the first ten cycles of Testing Condition and therefore, Primary Hydro Test at 3107 psig (Ref. [6]) is not included in fatigue analysis.
The Safety Valve Opening and the Relief Valve Opening transients have the same trend, but Safety Valve Opening transient has higher pressure a temperature.
Since both transients cannot occur at the same time, conservatively is used Safety Valve Opening transient to cover also Relief Valve Opening transient.
Plant Loading and Unloading transient Reference
[8] for safety/relief nozzles have the constant parameters (temperature and pressure);
therefore Plant Loading and Unloading transient is a steady state condition for safety/relief nozzles and does not affect present analysis./Table 10 Transients for SafetylRelief Nozzles Abbreviation Transient Name Design Cycles HUC Heatup at[ JNormal]Cooldown al Eormal]LOLl 10% Step Load Decrease [Normal]10% Step Load Increase [Normal]LLD Large Step Load Decrease [Normal]LOL Loss of Load [Upset] [ ]LOP Loss of Power [Upset] [ ]LOF Loss of Flow [Upset] [ L RT Reactor Trip [Upset] [ L TRT Turbine Roll Test [Test] [ I IASA Inadvertent Auxiliary Spray Actuation
[Normal]Page 19 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary SVO/RVO (1) Safety Valve Opening TransientI Relief Valve Opening Transient LT (2) Leak Test at 2485 psig [Test]OBE OBE r Note (1) see discussion above Table 10 Note (2) Leak Test a( ]psig is included in HUCD transient.
The following tables list the time points used in the thermal analysis.Table 11 Heatup and Cooldown (HUCD)Index Time tremperaturej Pressure INSHEAD HTCj INSNOZ HTC[hrs] I [OF] I [psia] I[tu/hr-f
-°F]Page 20 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 12 Step Load Increase and Decrease (LILD)Time remperature Pressure INSHEAD HTCJ INSNOZ HTC Index[hrs] [0 F] [psia] [atu/hr-ft 2-°F]Page 21 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 13 Large Step Load Decrease (LLD)I Time Temperature Pressure INSHEAD HTC INSNOZ HTC Index[hrs] ['F] [psia] [Btu/hr-ft 2-°F]Note 0): Small differences in HTC used in ANSYS input file have negligible impact on the results.Page 22 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 14 Loss of Load (LOL)Inde -Time Temperature Pressure INSHEAD HTCI INSNOZ HTC[hrs] ['F] [psia] [Btu/hr-ft 2-°F]Page 23 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 15 Loss of Power (LOP)Time Temperature()" Pressure INSHEAD HTCJ INSNOZ HTC Index e [hrs] [F] [psia] [Btu/hr-ft 2-°F]__Note (1): The small differences (max. 0.5°F) have negligible impact on the results.Page 24 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 16 Loss of Flow (LOF)SIndex Time Temperature Pressure INSHEAD HTC7 INSNOZ HTC I [hrs] [-F] [psia] [Btu/hr-fe-OF]
Page 25 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 17 Reactor Trip (RT)Time Temperature Pressure INSHEAD HTCJ INSNOZ HTC I d x -[hrs] [Ff .] I [psia] _ [B3tui/hr-fe-°F]
_Page 26 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 18 Turbine Roll Test (TRT)Page 27 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 19 Inadvertent Auxiliary Spray Actuation (IASA)x Time Temperature Pressure INSHEAD HTC INSNOZHTC[hrs] [°F] [psia] [Btu/hr-ftS-TF]
Page 28 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 20 SafetylRelief Valve Opening Transient (SVO)Index Time Temperature Pressure fNSHEAD HTC INSNOZ HTC r1[hrs] ['F] [psia] [etu/hr-1?-°F]
Page 29 Controlled Document A ARE VA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary 5 CALCULATION 5.1 Design Condition Stress analysis of the model under the design pressure provides a basis for verification of the expected behavior of the model, the boundary and load conditions and verifies attenuation of stress effects at regions distant from the nozzle.The ANSYS output for the design condition is documented in the following file: DC2_des_pres.out Figure 5 shows a deformed shape of the model under design pressure along with the un-deformed shape. The stress intensity contours developed in the model under design pressure case are shown in Figure 6.Figure 5 Deformed Shape vs. Un-Deformed Shape Page 30 Controlled Document A ARE VA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 6 Stress Intensity Contours for Design Condition Page 31 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary 5.2 Thermal Analysis The ANSYS input files containing the transient definition, as tabulated in Table 11 to Table 20 are: HUCD tr.mac LDLI tr.mac LLD tr.mac LOL tr.mac LOP tr.mac The ANSYS output files are listed as follows: Thermal analysis: DC2_HUCD th.out DC2_LDLI th.out DC2_LLD th.out DC2_LOL th.out DC2_LOP th.out Temperature gradients:
DC2_HUCD dt.out DC2 LDLI dt.out DC2_LLD dt.out DC2_LOL dt.out DC2_LOP dt.out LOF tr.mac RT tr.mac TRT tr.mac IASA tr.mac SVO tr.mac DC2_LOF th.out DC2_RT th.out DC2_TRT th.out DC2_IASA th.out DC2_SVO th.out DC2 LOF dt.out DC2_RT dt.out DC2_TRT dt.out DC2_IASA dt.out DC2_SVO dt.out The results of the thermal analyses are evaluated to identify the maximum and minimum temperature gradients between critical locations in the model and the corresponding time points.These temperature gradients generate maximum and minimum thermal stresses, which in turn contribute to maximum range of stress intensities in the model.The node numbers corresponding to the two locations for evaluation of temperature gradient are listed in Table 21. The locations are shown in Figure 7.Table 21 Temperature Gradients of Interest Gradient dent Node Numbers Description Designation Al_A2 1487 1600 Nozzle to head conjunction BI_B2 1235 1483 OD change on nozzle C1_C2 1324 1452 Safe end weld to weld overlay Dl_D2 1574 1408 Safe end to weld overlay ElE2 1790 285 Thickness change from pipe to weld overlay F1_F2 2145 2171 ID to OD head Page 32 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 7 Locations for Evaluation of Temperature Gradients The temperatures of selected nodes versus transient time as well as the temperature gradients are shown in Figure 8 to Figure 27. These figures are provided to show the trend and for visual aid only. Specific data is taken from computer output files. Computer file "DC2_inpdt.mac" contains definition of the node numbers for temperature and gradients calculation.
Page 33 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 8 Temperatures of Selected Locations (HUCD)Page 34 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary L Figure 9 Thermal Gradients of Selected Locations (HUCD)Page 35 Controlled Document A ARE VA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 10 Temperatures of Selected Locations (LDLI)Page 36 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 11 Thermal Gradients of Selected Locations (LOLl)Page 37 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary V Figure 12 Temperatures of Selected Locations (LLD)Page 38 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 13 Thermal Gradients of Selected Locations (LLD)Page 39 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 14 Temperatures of Selected Locations (LOL)Page 40 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 15 Thermal Gradients of Selected Locations (LOL)Page 41 Controlled Document A ARE VA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 16 Temperatures of Selected Locations (LOP)Page 42 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 17 Thermal Gradients of Selected Locations (LOP)Page 43 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 18 Temperatures of Selected Locations (LOF)Page 44 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 19 Thermal Gradients of Selected Locations (LOF)Page 45 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 20 Temperatures of Selected Locations (RT)Page 46 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 21 Thermal Gradients of Selected Locations (RT)Page 47 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 22 Temperatures of Selected Locations (TRT)Page 48 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 23 Thermal Gradients of Selected Locations (TRT)Page 49 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 24 Temperatures of Selected Locations (IASA)Page 50 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 25 Thermal Gradients of Selected Locations (IASA)Page 51 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 26 Temperatures of Selected Locations (SVO)Page 52 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Qverlay Structural Analysis -Non-Proprietary Figure 27 Thermal Gradients of Selected Locations (SVO)5.3 Stress Analysis Stress analyses are performed at the time points listed in Table 22 through Table 3 1. These time points include those at which the maximum temperature gradients (maximum thermal stresses)and the maximum and minimum pressures occur, as well as those of analytical interest.
The nodal temperature at the particular time points is read into the structural model directly from the result file of the thermal analysis.
The corresponding pressure is obtained by interpolation from Table 11 through Table 20. The computer output files for structural analyses are: DC2_HUCD st.out DC2_LDLI st.out DC2_LLD st.out DC2_LOL st.out DC2_LOP st.out DC2_LOF st.out DC2-RT-stout DC2_TRT st.out DC2_IASA st.out DC2_SVO st.out Page 53 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 22 Time Points of Interest for the HUCD Transients Index Time Temperature Pressure Index [hrs] [OF] [psia]Note (1): Leak Test (LT)Page 54 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 23 Time Points of Interest for the LDLI Transients I Time Temperature Pressure I [hrs] [OF] [psia]Page 55 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 24 Time Points of Interest for the LLD Transients Index Time Temperature Pressure[hrs] [°F] [psia]Page 56 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 25 Time Points of Interest for the LOL Transients Time Temperature Pressure[hrs] [°F] [psia]Table 26 Time Points of Interest for the LOP Transients Time Temperature Pressure[hrs] [OF] [psia]r]Page 57 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 27 Time Points of Interest for the LOF Transients Index Time Temperature Pressure Table 28 Time Points of Interest for the RT Transients IndexI Time Temperature Pressure Idx [hrs] ['F] psa Table 29 Time Points of Interest for the TRT Transients Index ITime Temperature Pressure[hrs] I [oF] [psia] Page 58 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 30 Time Points of Interest for the IASA Transients Index Time Temperature Pressure I[hrs] [-F] [psia]Table 31 Time Points of Interest for the SVO Transients I Time Temperature Pressure S[hrs] [-F] [psia]Page 59 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary 5.4 ASME Code Criteria The ASME Code qualification 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 loadings.In general, the primary stress intensity criteria of the ASME Code (Reference
[3]) assure that the design is adequate for application of design loads.The ASME Code criteria for cumulative fatigue usage factor assure that the design is adequate for repetitive loadings.5.4.1 ASME Code Primary Stress Intensity (SI) Criteria Per NB-3213.8 of References
[3], the primary stresses are those normal or shear stresses developed by an imposed loading such as internal pressure 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
[3] for Design Conditions.
The limit of primary stress intensity for Level B (Upset), Level C (Emergency), Level D (Faulted), and Test Condition is specified in NB-3223, NB-3224, NB-3225, and NB-3226 of Reference
[3], respectively.
As presented in Reference
[2], 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 pipe region has been reinforced by the weld overlay since adding materials to the nozzle outside region relieves primary stress burden resulting from internal pressure and external loads. The overlay further reduces stress concentration by eliminating the outside surface discontinuity.
Therefore, the primary stress intensity requirements for the nozzle, welds with overlay, safe end and pipe 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[3]) and reinforcement area (NB-3330 of Reference
[3]), which were addressed in the original nozzle/pressurizer designs. Adding weld overlay will increase the nozzle wall thickness and therefore these requirements are satisfied.
5.4.2 ASME Code Primary + Secondary SI Range and Fatigue Usage Criteria As stated previously, the stress analysis for transient conditions is required for a component to satisfy the requirements for repetitive loadings.
The following discussion describes the fatigue analysis process employed herein for the design.Computer runs for each transient time point chosen for stress analysis are contained in the ANSYS output files as listed in Section 5.3. The overall stress profile is then reviewed to Page 60 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary determine the critical locations that require detailed stress/fatigue analysis.
The objective is to assure that 1) the most severely stressed locations impacted by weld overlay are evaluated;
- 2) the specified region is quantitatively qualified.
Once the specific locations for detailed stress evaluation are established, the related path lines can be defined with ANSYS. A post-processing is then conducted to convert the component stresses along the selected path lines into the SI categories (i.e., membrane, membrane +bending, total) that correlate to the criteria of the ASME Code (Reference
[3]).The path lines selected for primary plus secondary SI range and fatigue failure evaluation are listed in Table 32. The path lines are shown in Figure 28 and Figure 29. A review of the results indicates that these paths include the highest stress locations for the model.Table 32 Path Lines for Linearized Stresses PathLine Node Path Line Numbers Location (See Figure 28 and Figure 29) Material PATH2 1235 1483 Nozzle (WOL end location)PATH3 1222 1430 Nozzle with WOL PATH4 2421 1333 Buttering with WOL PATH5 1323 3232 Nozzle to safe end weld with WOL PATH6 1576 1405 Safe end with WOL PATH7 3635 3293 Pipe weld with WOL PATH8 1928 1433 Pipe with WOL PATH9 1924 1901 Pipe ID to OD at WOL end PATH3A 1222 1461 Same as PATH3 (only nozzle material)PATH3B 1461 1430 Same as PATH3 (only WOL material)PATH4A 2421 1356 Same as PATH4 (only buttering material)PATH4B 1356 1333 Same as PATH4 (only WOL material)PATH5A 1323 3247 Same as PATH5 (only nozzle to safe end weld material)PATH5B 3247 3232 Same as PATH5 (only WOL material)PATH6A 1576 1404 Same as PATH6 (only safe end material)PATH6B 1404 1405 Same as PATH6 (only WOL material)PATH7A 3635 3244 Same as PATH8 (only pipe weld material)PATH7B 3244 3293 Same as PATH8 (only WOL material)PATH8A 1928 3276 Same as PATH9 (only pipe material)PATH8B 3276 1433 Same as PATH9 (only WOL material)Page 61 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 28 Path Lines for Stress Analysis Page 62 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure 29 Partial Path Lines for Stress Analysis Page 63 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary 5.4.2.1 Maximum Primary + Secondary SI Range, NB-3222.2 External loads (Thermal Expansion, OBE and Valve Operation) that cause periodic stress changes shall also be included in calculating the maximum SI Ranges. The resulting values of this load combination are listed in Table 9.Except for the path lines PATHI and PATH10 where the stress variation due to these external loads is negligible, stress intensity due to external loads is calculated at the corresponding cross-section that contains the path lines. The geometric characteristics are listed in Table 33.Table 33 Geometric Characteristics of Path Line Cross-Section Location D d I ISOD SID A L-finch] [inch] [inchl [inch 3 [inch] [inch] [inch]PATH2 PATH3 PATH4 PATH5 PATH6 PATH7 PATH8 PATH9_j Note (1): For path lines PATH8 and PATH9 the stress intensity due to axial bending stress from external shear forces would reduce the stress intensity due to transient loads. Therefore, the vertical distances from path line PATH8 and PATH9 are conservatively reduced to zero where: D d I= ;r(D4 -d 4)SOD /2 SM=I LDd/2I A= f(D2 -d2)4[inch] -outside diameter of the WOL or pipe[inch] -inside diameter of the nozzle, safe end or pipe[inch 4] -moment of inertia[inch 3] -section modulus -outside diameter[inch 3] -section modulus -inside diameter[inch 2] -cross-section area Page 64 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary L [inch] -moment arm -vertical distance from the inside node of path line PATH7 (safe end weld root) to the outside node of the other path Stress intensity (SI) at the inside and outside nodes of the selected path lines are then calculated and tabulated in Table 34.Table 34 Maximum Primary + Secondary SI due to External Loads Axial Stress Shear Stress M+B Loain 0 axEXrz Cyax5F UajcDBm 0`U_+f Tsj Tp 5 t T Simt , [ksi] [ksq [ksi] [ksi] [ksq [ksi] [ksi]Inside Diamet a_PATH2 PATH3 PATH4 PATH5 PATH6 PATH7 PATH7 PATH9 Outside Diam PATH2 PATH3 PATH4 PATH5 PATH6 PATH7 PATH8 PATH9 The membrane + bending stress intensities due to external loads in Table 34 are calculated as follows: BM axM[ksil] -axial membrane stress due to external axial force (F,)[ksi] -axial bending stress due to external bending moment (M 1)Page 65 Controlled Document A ARE VA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary OF = L [ksi] -axial bending stress due to external shear force (F 5)O"r B = S T, s A M2-"-'-2 -S[ksi] -shear stress due to external shear force (Fj)[ksi] -shear stress due to external torsion moment (M.)O'-M+B = O',_Ex + O',_rF + a.,_Ev [ksi] -axial membrane + bending stress T,= ,- F +T,-M sifll'= Vt;-. M+B 4-I,[ksi] -shear stress due to external forces and moments[ksi] -membrane + bending stress intensity Where Fx, FY, Fz, M., My, and M, are taken fiom Table 9.F= (F3?2 +F-2)1 Mb =(, +S = SOD -for outside diameter S = SmD -for inside diameter The ANSYS fatigue module is used to calculate the maximum membrane + bending SI range at each node of selected path lines Table 32 for all transients.
The module complies with ASME Code Section III, NB-3216.2 in calculating a stress intensity range. Time points are also registered.
The ANSYS output files are: F_M+B_HAl lut FM+BHA[. LA.out F_M+B_HAf Jout FM+BHA[: ]A.out FM+BHAI ]out FM+BHA[ 1A.out F_M+BHA[ lout FM+BHAL IA.out F_M+BHA[.
]out FM+BHAl. .A.out F_M+B_LA[
]out FM+BLA{ lA.out The maximum membrane + bending SI ranges for all nodes along with SIs due to external loads are listed in Table 35.Page 66 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 35 Summary of Maximum Primary + Secondary SI Ranges for Membrane + Bending Stresses Inside Node Outside Node SI due to (M+B 3Sm SI due to (M+B 3Sm Path M+B External SI Range) Limit 1) M+B External SI Range) Limit(')Name SI Range Load(2) +(External SI Range Load" 2) + (External Loads SI) Loads SI)[ksi] [ksi] [ksi] [ksi] [ksi] [ksi] [ks] [ks]PATH2 80.10 80.10 PATH3 80.10 69.90 PATH4 69.90 69.90 PATH5 69.90 69.90 PATH6 40.50 69.90 PATH7 45.30 69.90 PATH8 48.60 69.90 PATH9 48.60 48.60 PATH3A 80.10 80.10 PATH31 69.90 69.90 PATH4 69.90 69.90 PATH4 69.90 69.90 PATH5 69.90 69.90 PATH5 69.90 69.90 PATH61 40.50 40.50 PATH6E 69.90 69.90 PATH7 45.30 45.30 PATH7 69.00 69.90 PATH81 48.60 48.60 PATH8 69.90 69.90 Note (1): Table 32 provides material designation for each defined path line. The Sm values taken from Table 1 through Table 7 are the design stress intensities of material at the maximum transient temperature of I]for all path lines.Note (2): The external loads are calculated in Table 34.Note (3) The (M+B SI Range) + (External Loads SI) is combined by stress components; see Table 36.Page 67 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 36 PATH9 -outside node of Maximum Primary + Secondary SI Range for Membrane +Bending Stress Components Membrane + Bending Stress Components Location Sx Sy Sz Sxy Syz Sxz SI Range[psi] [psi] [psi] [psi] [psi]. [psi] [ksi]Event I -CD, Time[ Jrs CD I[ I I -Event 2 -LOL, Timet Jirs LOL [ J -Event2 -Event I (M+B Sl Range)LOL-COD r F_External Loads Sl (Table 34)PATH9 [ -. I I (M÷B SI Range) + (External Loads SI)PATH9 I[ I I Table 35 lists the maximum membrane + bending stress intensity range obtained by conservatively adding the SI due to external loads to the maximum transient membrane +bending SI range. As shown in Table 35, the stress intensity ranges are within the 3Sm limits for all locations and the ASME Code requirements are met for all locations.
5.4.2.2 Fatigue Usage Factor Criteria (CFUF), NB-3222.4 For consideration of fatigue usage, the Peak Stress Intensity Ranges are calculated.
These values must include the 'total' localized stresses.
The linearized membrane + bending stress intensity range used in fatigue usage factor calculation may not depict all of the potential peak stresses.Therefore to bind the potential effect of this consideration, the membrane + bending stress intensity range is multiplied by a Fatigue Strength Reduction Factor (FSRF). In general Reference
[10] is used for guidance on FSRF for geometric discontinuities in this model. The calculation is performed separately for different materials.
The loads cases of all transients are combined for the maximum SI range. 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.
All transient combinations with SI ranges contributions to the fatigue usage factor are included in Table 38 through Table 43.Page 68 Controlled Document A ARE VA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Based on review of the SI range results, the following locations produce higher fatigue usage factor: Table 37 Stress Category and FSRF in Fatigue Evaluation Stress Material Path Line Node location ategs FSRF Category/I-Safety/Relief Nozzle, Head) PATH3 Inside M+B T[ ]Buttering, Nozzle to Safe End Weld) PATH5 Inside Total ISafe End) PATH6 Inside M+B1]Safe End to Pipe Weld) PATH7 Inside M+B1 jPipe) PATH9 Outside M+B1](Weld Overlay) PATH8B Outside M+B 1 ]PATH8B and PATH9 outside nodes are part of geometric discontinuity.
Therefore the maximum membrane + bending SI ranges are multiplied by conservative FSRF of 2.0 to account for geometric discontinuity.
Per Reference
[10], Chapter 6, it has been reviewed that this value is conservative.
Since the mesh is fine enough and there is no discontinuity at path PATH5 inside node, the'Total' SI ranges and no FSRF is used for the fatigue usage factor calculation in these locations.
Membrane + bending SI ranges at paths PATH 1, PATH6 and PATH7 inside nodes are multiplied by conservative FSRF of 2.0.The membrane + bending stress intensity ranges are documented in the following ANSYS output files: FM+B_-HAl_
F_M+BH-4 F_M+B_HAL.
F_M+B_HAL F_M+B_HAl F_M+B_LA[lut F_M+BHAJ 1A.out]out F_M+BHAj_
JA.out.out F_M+BHAJ IA.out but F_M+BHAJ IA.out jut F_M+BHAI '1A.out Jut F_M+BLA. 1A.out The total stress intensity ranges are documented in the following ANSYS output files: F_TOT_HA_
]ut F_TOTHA[ 1A.out F_TOTHA[ ]out FTOTHAt A.out F_TOTHA{ Jut FTOTHAI lA.out F_TOTHAf.
j.ut F_TOTHA[ ,A.out FTOT_HAl ut F_TOT_HAL.
I,_A.out F_TOT_LA[
jut F_TOT_LAI LA.out Page 69 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Note that only the stress intensity ranges and the corresponding time points are taken from the output files since stress intensities due to external loads are not included in the ANSYS output.The stress intensity due to the external loads is added at each node for each SI range. A review of the results indicates that all CFUF values are well below 1.0.Table 38 through Table 43 provide the calculation of the cumulative fatigue usage factor based on the loads and cycles specified in Section 4.5. The values of 'E curve' in the following tables are taken from References
[3] and [12].Table 38 Relief/Safety Nozzle, Head Fatigue Usage Calculation EVALUATION TITLE: Diablo Canyon 2- PATH3 (inside node)
REFERENCE:
FM+BLAI jout MATERIAL:
I ]TYPE: Low-alloy steel UTS (ksi) = [ I Emat (psi)= a at T 1 E ratio = Ecurve/Emat RNE TRANSIENTS tQD PA I(rto LOAL USAGE WTH RANGES E mat S alt ELLOWA FACTOR NUM. ETREMES CYCLES RANGE Salt CYCLES 'N' U.1 HU -LOP 2 HU -LOL 3 HU -IASA 4 HU -SVO 5 CD -LT 6 HU -LD 7 CD -LD 8 LLD -LLD 9 LD -TRT Total Fatigue Usage Factor =The Peak SI Range -+B' x rength Re, u.,on Ead )r (FSRF)For Range 1. 'M+B' SI Range = FSRF =For Range 2. 'M+B' SI Range = FSRF-For Range 3. 'M+B' SI Range = FSRF=For Range 4, 'M+B' SI Range = FSRF/For Range 5, 'M+B' SI Range = FSRF =For Range 6. 'M+B' SI Range = FSRF =For Range 7. 'M+B' SI Range = FSRF-For Range 8, 'M+B' SI Range = FSRF =For Range 9. 'M+B' SI Range = FSRF I Note (): The stress intensities due to exterma loads (1T+OBE ; "H+VO) calculated in section m 5.4.2.1 (Table 3M, P4TH3) are conservatively added to the highest SI range due to transient loads for he first ,ycles.Note (2):: L is conservatively used maximum temperature occurring during the plant operation.
Page 70 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 39 Buttering, Nozzle to Safe End Weld Fatigue Usage Calculation EVALUATION TITLE: Diablo Canyon 2- PATH5 (inside node)
REFERENCE:
MATERIAL: TYPE: UTS (ksi) -Emat (psi) =F_TOT_HA4 jut[ ]High-alloy steel at T f]E ratio = Ecurve/Emat-Y -- -- --RANGE RANGE NUM.1 2 3 4 5 6 TRANSIENTS WITH RANGE EXTREMES HU -LOP CD -IASA CD -SVO HU -LOL HU -LT CD -LD PEAK SI RANGE E mat S alt (Eratlo) x ALLOWABLE USAGE Salt CYCLES 'N' FACTOR'U. m Total Fatii The Peak SI Ran(For Range 1, 'Total' SI Range =For Range 2. 'Totar SI Range =For Range 3. 'Total' SI Range=For Range 4. 'Total' SI Range =For Range 5, 'Total' SI Range =For Range 6. 'Total' SI Range ="-'Total'
+&E~mal Loadsm" ksl;ksl: ksl;MIl: ksi;ksl;4 4 Note (1): The stress intensities due to external loads (TH+OBE; TH+VO) calculated in section 5.4.2.1 (Table 34, PATH5) are conservatively added to the highest SI range due to transient loads for the firs( ]ycles.Note (2): [ Is conservatively used maximum temperature occurring during the plant operation.
Page 71 Controlled Document A ARE VA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 40 Safe End Fatigue Usage Calculation EVALUATION TITLE: Diablo Canyon 2- PATH6 (inside node)
REFERENCE:
FM+B_Hq _--]ut MATERIAL:
I TYPE: High-alloy steel UTS (ksi) = [ I Emat (psi) = [ I at T E ] E ratio = Ecurve/Emat RANGE TRANSIENTS REQ'D PEAK SI (Eratlo) x ALLOWABLE USAGE WITH RANGE C 0E mat S alt FACTOR NUM. WTRE CYCLES RANGE Salt CYCLES 'N'____ EXTREMES , ..'U'.1 CD -LOL 2 CD -SVO 3 CD -LOP 4 CD -LLD 5 HU -LLD 6 HU-LI 7 LI -IASA 8 LI -LOF Total Fatigue Usage Factor =The Peak SI Rang = 'M+B' x ue Strength Reduction Factor (FSRF) + External Loads°')For Range 1, 'M+B' SI Range = ksl; FSRF = 2 For Range 2. 'M+B' SI Range = ksl: FSRF = 2 For Range 3, 'M+B' SI Range = ksl; FSRF = 2 For Range 4, 'M+B' SI Range = ksl; FSRF = 2 For Range 5, 'M+B' SI Range = ksl; FSRF = 2 For Range 6, 'M+B' SI Range = ksl; FSRF= 2 For Range 7, 'M+B' SI Range = ksl; FSRF = 2 For Range 8, 'M+B' SI Range = ksl; FSRF = 2 Note (1): The stress intensities due to external loads (TH+OBE; TH+VO) calculated in section 5.4.2. I (Table 34, PATH6) are conservatively added to the highest SI range due to transient loads for the firs[ lcycles.Note (2)I ]is conservatively used maximum temperature occurring during the plant operation.
Page 72 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 41 Safe End to Pipe Weld Fatigue Usage Calculation EVALUATION TITLE: Diablo Canyon 2- PATH7 (inside node)
REFERENCE:
F_M+B_HAJ
?ut MATERIAL:
I TYPE: High-alloy steel UTS (ksi) = I I Emat (psi) = I I atT4 I E ratio = EcurvelEmat TRANSIENTS IUSAGE RANGE TRNINS REQ'D PEAK Sl (Eratio x ALLOWABLE UAE RNG. WITH RANGE RES RANGE E mat S alt ESatlt ALLES S FACTOR NUM. -XREES YCLES RANGE salt CCLES 'N'EXTREMES Tr- Iu 7c 1 CD -LOL 2 CD -SVO 3 CD -LOP 4 CD -LLD 5 HU -LLD 6 HU -LD 6 U L ITotal Fatigue Usage Factor The Peak SI Ra = M+B'xa igue Strength Reduction Factor (FSRF) + External Loads(1)For Range 1, 'M+B' SI Range= ksl; FSRF= 2 For Range 2, 'M+B' SI Range = ksl; FSRF = 2 For Range 3, 'M+B' SI Range = ksl: FSRF= 2 For Range 4, 'M+B' SI Range = ksl: FSRF= 2 For Range 5, 'M+B' SI Range = ksl; FSRF = 2 For Range 6. M+B' SI Range = ksl; FSRF = 2 Note (1): The stress intensities due to external loads (TH+OBE; TH+VO) calculated in section 5.4.2.1 (Table 34, PATH7) are conservatively added to the highest SI range due to transient loads for the first Jycles.Note (2)[ j is conservatively used maximum temperature occurring during the plant operation.
Page 73 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 42 Pipe Fatigue Usage Calculation EVALUATION TITLE: Diablo Canyon 2- PATH9 (outside node)m
REFERENCE:
FM+B_H4 .]Ut MATERIAL:
[TYPE: High-alloy steel UTS (ksi) = I I Emat (psi) = I RANGE TRANSIENTS REQD jPEAK SI WITH RANGE NUM. WXTRANE CYCLES RANGE EXTREMES 1 CD -LOL 2 CD -SVO 3 CD -LOP 4 CD -LLD 5 HU -LLD 6 HU-LD 7 LD -IASA E ratio = Ecurve/Emat I USAGE (Eratlo) x ALLOWABLE USAGE Salt CYCLES'N'
] ATO Total Fatigue Usage Factor = I I The Peak SI Ran For Range 1. 'MB' SI Range =For Range 2, 'M+B' SI Range =For Range 3, 'M+B' SI Range =For Range 4. 'M+B' SI Range =For Range 5. 'M+B' S Range =For Range 6, 'M+B' SI Range =For Range 7, 'MeB' SI Range =ue Strength Reduction Factor (FSRF) + External Loads(l)ksl; FSRF = 2 ksi; FSRF = 2 ksi; FSRF = 2 ksi; FSRF = 2 ksl; FSRF = 2 ksl; FSRF = 2 ksl; FSRF = 2 Im Note (1): The stress intensities due to external loads (TH+OBE; TH+VO) calculated in section 5.4.2.1 (Table 34, PATH9) are conservatively added to the highest SI range due to transient loads for the firsi lycles.Note (2)[ ']is conservatively used maximum temperature occurring during the plant operation.
Page 74 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 43 Weld Overlay Fatigue Usage Calculation EVALUATION TITLE: Diablo Canyon 2- PATHSB (outside node)
REFERENCE:
FM+BHA[MATERIAL:
[TYPE: High-alloy steel UTS (ksi) = I I Emat (psi) = [ I~JA.Out I E ratio = Ecurve/Emat TRANSIENTS RNUM WITH RANGE NUM. EXTREMES 1 CD -LOL 2 HU -LOP 3 HU -SVO 4 CD -LLD 5 HU -LLD 6 HU-LT 7 IASA -LT 8 LD -IASA (Eratlo) x ALLOWABLE USAGE Salt CYCLES 'N' FACTOR I ,U...........
...Total Fatigue Usage Factor = [-1 The Peak SI Ran e ='M+B' x Fatigue Strength Reduction Factor (FSRF) + External Loads" 1)For Range 1, 'M+B' SI Range = ksi; FSRF = 2 For Range 2, 'MB' SI Range = ksi; FSRF = 2 For Range 3, 'M+B' SI Range = ksl; FSRF = 2 For Range 4, 'M+B' SI Range = ksl; FSRF = 2 For Range 5, 'M+B' SI Range = ksl; FSRF = 2 For Range 6, 'M+B' SI Range = ksI; FSRF = 2 For Range 7, 'M+B' SI Range = ksl; FSRF = 2 For Range 8. 'M+B' SI Range = ksl; FSRF = 2 Note (1): The stress intensities due to external loads (TII+OBE; TH+VO) calculated in section 5.4.2.1 (Table 34, PATH8) are conservatively added to the highest SI range due to transient loads for the first ]ycles.Note (2)[ ]is conservatively used maximum temperature occurring during the plant operation.
Page 75 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary 6 RESULTS
SUMMARY
/CONCLUSIONS The preceding calculations demonstrate that the design of the safety/relief nozzle weld overlay for the pressurizer of Diablo Canyon Unit 2 meets the stress and fatigue requirements of the Design Code (Reference
[3]).Based on the loads and cycles specified in References
[6] and [8] , the conservative fatigue analysis indicates that pressurizer safety/relief nozzle weld overlay design has the maximum usage factor of[ ]for specified number of cycles per Reference
[6] compared to the ASME Code allowed maximum value of 1.0.The results of this analysis cover evaluation of the original design of the pressurizer safety/relief nozzle without weld overlay.Table 44 Summary of Results Max. SI RangePL+Pb+Q Fatigue Usage Calculated Limit IR= Cacltd Lmt IR=Calculated LimitLimit
_-- [ksil lksil -,al./Limit C a -Ll./lim" SafetylRelief Nozzle 80.10 1 Buttering, Nozzle to 69.90 1 Safe End weld Safe End 40.50 1 Safe End to Pipe Weld 45.30 1 Pipe 48.60 1 Weld Overlay 69_ 69.90 1 Note: Primary stresses are bounded by original analysis, see section 5.4. 1.Page 76 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary 7 REFERENCES
[1] AREVA Drawing 02-8018401C-001, "Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Existing Configuration"[2] AREVA Document 32-9043545-001, "Diablo Canyon Unit 2, Pressurizer Safety/Relief Nozzle Weld Overlay Sizing Calculation"[3] ASME Boiler and Pressure Vessel Code, Section 1m, 2001 Edition including Addenda through 2003[4] "ANSYS" Finite Element Computer Code, Version 11.0, ANSYS, Inc., Canonsburg, PA[5] AREVA Document 08-9042937-003, "Diablo Canyon Unit 2 Pressurizer Nozzle Weld Overlays -Certified Design Specification"[6] AREVA Document 38-9046469-002, "PG&E Design Input Transmittal, Non Proprietary"[7] AREVA Document 38-2200488-002, "PG&E Design Input Transmittal Proprietary"[8] AREVA Document 51-9048271-000, "Diablo Canyon 2 PWOL Design Transients"[9] Not used[10] John F. Harvey, "Theory and Design of Pressure Vessels," Second Edition, Van Nostran Reinhold, 1991.[11] AREVA Drawing 02-8019311 D-001, "Diablo Canyon Pressurizer Safety & Relief Nozzle Weld Overlay Design Input"[12] ASME Boiler and Pressure Vessel Code, Section I1I, 1965 Edition including Addenda through Summer 1966[13] ASME Boiler and Pressure Vessel Code, Section mI, Addenda Winter 1966 through Winter 1967[14] ASME Boiler and Pressure Vessel Code, Section mI, 1968 Edition including Addenda through Winter 1969[15] ASME Boiler and Pressure Vessel Code, Section mI, 1971 Edition[16] AREVA Document NPGD-TM-500 rev D, "NPGMAT", NPGD Material Properties Program, User's Manual (03/1985)[17] "ANSYS" Finite Element Computer Code, Version 14.0, ANSYS, Inc., Canonsburg, PA[18] AREVA Document 38-9200149-001, "DCPP Unit 2 Pressurizer Nozzle NDE Data" Page 77 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary 8 COMPUTER OUTPUT FILES The relevant ANSYS input and output files are listed in the following tables. ANSYS program verification tests for the elements used in the analysis are listed at the end of the table. Please note that files listed in Table 45 are listed in the AREVA COLD storage system.Table 45 List of Relevant ANSYS Input and Output Files File Name Date Description DC2_geo.out 05/02/2007 Output file to develop finite element model DC2_geoWB.mac 05/02/2007 Input file from Ansys Workbench Matprop.mac 04/16/2007 Input file includes material properties DC2.Jnp.dt~mac 05/02J2007 I Input file defining nodes for temperature and thermal D2ipdma0500 gradient evaluation Design Condition DC2_despres.out 05/02/2007
[Output file for design Condition HUCD Transient HUCD-tr.mac 05/08/2007 Input file contains definition of HUCD transient DC2_HUCD-th.out 05/08/2007 Output file for thermal analysis of HUCD DC2_HUCDdt.out 05/08/2007 Output file contains thermal gradients of HUCD DC2_HUCD st.out 05/08/2007 Output file for stress analysis of HUCD LDLI Transient LDLl tr.mac 05/01/2007 Input file contains definition of LDLI transient DC2_LDLIth.out 05/02/2007 Output file for thermal analysis of LDLI DC2_LDLI-dt.out 05/02/2007 Output file contains thermal gradients of LDLI DC2_LDLl st.out 05/03/2007 Output file for stress analysis of LDLI LLD Transient LLDtr.mac 05/02/2007 Input file contains definition of LLD transient DC2_LLD_th.out 05/02/2007 Output file for thermal analysis of LLD DC2_LLDdt.out 05102/2007 Output file contains thermal gradients of LLD DC2_LLD_st.out 05103/2007 Output file for stress analysis of LLD LOL Transient LOL-tr.mac 05/02/2007 Input file contains definition of LLD transient DC2_LOLth.out 05102/2007 Output file for thermal analysis of LLD DC2_LOL-dt.out 05/02/2007 Output file contains thermal gradients of LLD DC2_LOLst.out 05/03/2007 Output file for stress analysis of LWD LOP Transient LOPtr.mac 05/02/2007 Input file contains definition of LOP transient DC2_LOPth.out 05/02/2007 Output file for thermal analysis of LOP DC2_LOP.dt.out 05/02/2007 Output file contains thermal gradients of LOP DC2_LOP-st.out 05/03/2007 Output file for stress analysis of LOP Page 78 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 44 (continued)
List of Relevant ANSYS Input and Output Files LOF Transient LOFtr.mac 05/02/2007 Input file contains definition of LOF transient DC2_LOFth.out 05/0212007 Output file for thermal analysis of LOF DC2_LOFdt.out 05/02/2007 Output file contains thermal gradients of LOF DC2_LOFst.out 05/03/2007 Output file for stress analysis of LOF RT Transient RTtr.mac 05/02/2007 Input file contains definition of RT transient DC2_RT th.out 05/02/2007 Output file for thermal analysis of RT DC2_RT dt.out 05/02/2007 Output file contains thermal gradients of RT DC2_RT st.out 05/03/2007 Output file for stress analysis of RT TRT Transient TRTtr.mac 05/02/2007 Input file contains definition of TRT transient DC2_TRT -th.out 05/02/2007 Output file for thermal analysis of TRT DC2_TRTdtout 05/02/2007 Output file contains thermal gradients of TRT DC2_TRTst.out 05/03/2007 Output file for stress analysis of TRT IASA Transient IASAtr.mac 05/02/2007 Input file contains definition of IASA transient DC2_IASAth.out 05/02/2007 Output file for thermal analysis of IASA DC2_lASA_dt.out 05/02/2007 Output file contains thermal gradients of IASA DC2_IASAstout 05/03/2007 Output file for stress analysis of IASA SVO Transient SVOtr.mac 05/08/2007 Input file contains definition of SVO transient DC2_SVOth.out 05/08/2007 Output file for thermal analysis of SVO DC2_SVOdt.out 05/08/2007 Output file contains thermal gradients of SVO DC2_SVOst.out 05/08/2007 Output file for stress analysis of SVO Fatigue Usage Factor Calculation FM+B_HAI[
j'ut 05/08/2007 Stress range results for membrane + bending stresses FM+BHA.[ JA.out 05108/2007 Stress range results for membrane + bending stresses F_M+BHA[ jout 05/11/2007 Stress range results for membrane + bending stresses FM+Bj-IA IFA.out 05/08/2007 Stress range results for membrane + bending stresses FM+B_HA[ j out 05/08/2007 Stress range results for membrane + bending stresses F_M+B_HAj[
A.out 05/08/2007 Stress range results for membrane + bending stresses FM+B_HA[ Aout 05/08/2007 Stress range results for membrane + bending stresses F-M+B IAl 1Aout 05/08/2007 Stress range results for membrane + bending stresses FM+B_HAI ,out 05/09/2007 Stress range results for membrane + bending stresses FM+BHAI IA.out 05/09/2007 Stress range results for membrane + bending stresses Page 79 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 44 (continued)
List of Relevant ANSYS Input and Output Files F_M+BLA[ jut 05/10/2007 Stress range results for membrane + bending stresses F_M+BIAE I.out 05/10/2007 Stress range results for membrane + bending stresses F_TOTHAL :jut 05/0912007 Stress range results for total stresses F_TOT_HA[
]A.out 05/09/2007 Stress range results for total stresses F_TOT_H[ }ut 05/09/2007 Stress range results for total stresses FTOTH{ ]A.out 05/09/2007 Stress range results for total stresses FTOT_H4 ]jut 05/09/2007 Stress range results for total stresses FTOT_.A- ]A.out 05/09/2007 Stress range results for total stresses FTOTH.. 05110/2007 Stress range results for total stresses FTOTI- JA.out 05/10/2007 Stress range results for total stresses F_TOTI u ,Jt 05/09/2007 Stress range results for total stresses F_TOTH ]A.out 05/09/2007 Stress range results for total stresses F_TOTIA[ jut 05/10/2007 Stress range results for total stresses FTOT_ ..1Aout 05/10/2007 Stress range results for total stresses ANSYS Verification Files vm56.out 05/11/2007 2-D 8-node structural element vml 12.out 05/11/2007 2-D 8-node thermal element Fracture DC2frpath.out 05117/07 Output files contains definition for fracture calculation DC2 HUCD fr SY.out 05/17/07 Output file contains stress components along the fracture paths for HUCD transient DC2 HUCD fr SZ.out 05/17/07 Output file contains stress components along the fracture paths for HUCD transient DC2 HUCD fr TH.out 05/17/07 Output file contains temperatures along the fracture paths for HUCD transient DC2 LDLI fr SY.out 05/17/07 Output file contains stress components along the fracture paths for LDLI transient t05/17/07 Output file contains stress components along the fracture DC2_LDLIfrSZ.out 05paths for LDLI transient DC2 LDU fr TH.out 05/17/07 Output file contains temperatures along the fracture paths for LDLI transient DC2 LLD fT SY.out 05/17/07 Output file contains stress components along the fracture-_ _-_-_paths for LID transient DC2 LLD fr SZ.out 05/17/07 Output file contains stress components along the fracture--o- 05paths for LLD transient DC2 LLD fr TH.out 05/17107 Output file contains temperatures along the fracture paths---0 for LLD transient DC2 LOL fr SY.out 05/17/07 Output file contains stress components along the fracture-__-_-_paths for LOL transient 002_LOL ftSi-out 05/17/07 Output file contains stress components along the fracture
_05/17/07 paths for LOL transient Page 80 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer.Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Table 44 (continued)
List of Relevant ANSYS Input and Output Files DC2_LOL fr TH.out 05/17/07 Output file contains temperatures along the fracture paths-_ _-_-_for LOL transient DC2ý_LOP ftSY.out 05/17/07 Output file contains stress components along the fracture paths for LOP transient DC2_LOP ftSZ.out 05/17/07 Output file contains stress components along the fracture DC___Of______out____05117107 paths for LOP transient DC2_LOP ft TH.out 05/17/07 Output file contains temperatures along the fracture paths-_ _-_-_for LOP transient DC2JLOF fr SY.out 05/17/07 Output file contains stress components along the fracture paths for LOF transient DC2_LOF fr SZ.out 05/17/07 Output file contains stress components along the fracture paths for LOF transient DC2_LOF fr TH.out 05/17/07 Output file contains temperatures along the fracture paths-_ _-_-_ for LOF transient DC2_RT frtSY.out 05/17/07 Output file contains stress components along the fracture paths for RT transient DC2_RT ftSZ.out 05/17/07 Output file contains stress components along the fracture D .._ SZ____out_____05117107__
paths for RT transient RT2_ftTh.out 05/17/07 Output file contains temperatures along the fracture paths DC2_R rfor RT transient DC2 TRT fr SY.out 05/17/07 Output file contains stress components along the fracture paths for TRT transient DC2JTRT fr.SZ.out 05/17/07 Output file contains stress components along the fracture paths for TRT transient DC2_TRT fr TH.out 05/17/07 Output file contains temperatures along the fracture paths-_ _-_-_for TRT transient DC2 IASA fr SY.out 05/17/07 Output file contains stress components along the fracture paths for IASA transient DC2_IASA fr SZ.out 05/17/07 Output file contains stress components along the fracture paths for IASA transient DC2_IASA fr TH.out 05/17/07 Output file contains temperatures along the fracture paths for IASA transient D02_SVO ftSY.out 05/17/07 Output file contains stress components along the fracture paths for SVO transient DC2_SVO ftSZ.out 05/17/07 Output file contains stress components along the fracture DSVO__frS__
_out_ _05117/07 paths for SVO transient DC2_SVO frtTH.out 05/17/07 Output file contains temperatures along the fracture paths I I I for SVO transient Page 81 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary APPENDIX A Stresses used for Safety/Relief Nozzle Weld Overlay Fracture Mechanics Analysis Page 82 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary A-1 PURPOSE The purpose of this appendix is to provide supplemental stress and thermal results of the transient analysis for a fracture mechanics analysis of the safety/relief nozzle weld overlay.A-2 STRESS AND TEMPERATURE EVALUATION The ANSYS Post Processor is used to tabulate the stress and temperature along the predetermined paths. The paths are shown in Figure A -1 and described in Table A -1.The post processor calculation for fracture analysis is contained in computer file: DC2_fr_path.mac Table A -1 Paths Description Path Line Node Location Material Numbers FPathl 1211 1425 Buttering with WOL FPath2 2419 1424 Buttering with WOL FPath3 1323 1410 Nozzle to safe end weld with WOL FPath4 3635 3293 Pipe weld with WOL Linearized stresses along the path line in the global coordinate system with "y" axis along the nozzle axis are summarized at thirteen points separated by an equal distance from the inside node to the outside node. At each point the axial (Sy) stress, hoop (Sz) stress and the temperature (Th)in the weld or weld overlay are given.The path point distances from the inside nodes are included in the output file: FrPathLocs.out ANSYS post processing output files are listed in section 8 and the stresses and temperatures output results files for the fracture mechanics are listed below: DC2_HUCDfrSY.out DC2_LDLI frtSY.out DC2_LLDfrSY.out DC2_LOLfrSY.out DC2_LOPfrSY.out DC2 HUCD fr SZ.out DC2_LDLIfrSZ.out DC2_LLDfrSZ.out DC2_LOFfrSY.out DC2_RTfrSY.out DC2_TRTfrSY.out DC2_IASAfrSY.out DC2_SVOfrSY.out DC2_LOFfrSZ.out DC2_RTfrSZ.out DC2_TRTfrSZ.out Page 83 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary DC2_LOLfrSZ.out DC2_LOPfrSZ.out DC2_HUCD frTH.out DC2_LDLIfrTH.out DC2 LLD fr TH.out DC2_LOL frtTHIout DC2_LOP ftrTHout DC2_IASAftSZ.out DC2_SVOfrSZ.out DC2_LOF fr TH.out DC2_RTfr TH.out DC2 TRT fr TH.out DC2_IASAfrTH.out DC2_SVO fi"_TH.out Figure A -1 Paths Defined for Fracture Mechanics Evaluation Page 84 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary APPENDIX B- COMPARISON OF ANSYS 11.0 AND 14.0 RESULTS Since the analyses in Rev.001 of this document were performed using ANSYS 11.0 on a Windows NT system, while the analyses in Rev.002 are performed using ANSYS 14.0 on a 64-bit machine, it is unknown whether the results in Rev.001 are still valid for Rev.002. The purpose of this Appendix is to compare the calculated results of ANSYS 11.0 and ANSYS 14.0. The comparisons are made on design condition and selected transients in both temperature and stress. It is concluded from the subsections below that the results from ANSYS 11.0 and 14.0 are the same.B.1 Design Condition For the design condition, the stress intensity contour plot using ANSYS 14.0 is illustrated in Figure B-1.By comparing to Figure 6 (using ANSYS 11.0), it can be seen that the results are identical.
Figure B-I: Stress Intensity Contours for Design Condition using ANSYS 14.0 B.2 Temperature For temperature history, the transients HUCD and LDLI are selected for comparison.
The temperatures versus time as well as the temperature gradients for HUCD using ANSYS 14.0 are illustrated in Figure B-2 and Figure B-3 respectively.
It is observed that these two figures are identical to the results of ANSYS 11.0 in Figure 8 and Figure 9. The same observation is made on transient LDLI by comparing Figure B-4 to Figure 10, and Figure B-5 to Figure 11. The legends shown in Figure B-2 through Figure B-5 are defined in Table 21 and are depicted in Figure 7.Page 85 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure B-2: Temperature of Selected Locations (HUCD) using ANSYS 14.0 Page 86 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure B-3: Thermal Gradients of Selected Locations (HUCD) using ANSYS 14.0 Page 87 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Page 88 Figure B-4: Temperature of Selected Locations (LDLI) using ANSYS 14.0 Page 88 Controlled Document A ARE VA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure B-5: Thermal Gradients of Selected Locations (LDLI) using ANSYS 14.0 B.3 Stress Stress distribution along path lines are compared in this section. The axial stress (SY) and hoop stress (SZ) at four path lines, defined in Figure A-i, during various transients are extracted in Rev.001. These stress data files are listed in Table 45 "Fracture".
For comparison, the same path line stresses are extracted in Rev.002 using ANSYS 14.0. The comparisons of stress data are made in Excel file comparison.xlsx in Table B-1. The comparisons were made on selected transients and orientations, which are HUCD_SY, LDLISZ, LOLSY, and LOPSZ. It is found from the comparison results that the data in ANSYS 11.0 and 14.0 are almost identical at every time point and path line location.
The maximum variation between ANSYS 11.0 and 14.0 results is 0.1 psi.B.4 Software and Hardware ANSYS Version 14.0 [17] is used for Appendix B and Appendix C. The hardware platform (Service Tag# 5VK16S1) is Intel CoreTM i7-2640M CPU 2.80 GHz, 8.00 GB RAM and Operating System is Page 89 Controlled Document A ARE VA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Microsoft Windows 7 Enterprise, Copyright
© 2009, Service Pack 1. Verification tests listed in Section B.5 (vm56 and vml 12) are satisfactory.
B.5 Computer Files All computer files, including the computer input/output files for the analysis in this document, and the computer program test cases are listed in this section. All files are available in AREVA NP Inc. ColdStor storage \\cold\General-Access\32\32-9000000\32-9049114-002\official.
Test cases vm56 and vml 12 from Reference
[17] are run to verify that the answers are correct. The files vm56.vrt and vml 12.vrt contain output from the test cases. Review of the output files shows that the answers are identical to those contained in Reference
[17].1. Computer program tested: ANSYS Version 14.0 2. Computer hardware used: Intel& CoreTM i7-2640M CPU 2.80 GHz Service Tag# 5VK16S1 3. Name of person running test: Pei-Yuan Cheng 4. Date of test: 10-03-2013
- 5. Results and acceptability:
The results in vm56.vrt and vml 12.vrt listed in Table B-1 agree exactly with the values in the ANSYS manual [17].Table B-I: Computer Files File Name Checksum Modified Date Time Description 1115:41:41 Output file to develop finite element dc2_geo.out 11901 Oct 03 2013 model DC2_geoWB.mac 03640 Oct 03 2013 15:22:10 Input file from Ansys Workbench mat-prop.mac 63267 Oct 03 2013 15:22:23 Input file includes material properties DC2 inp dt.mac 24910 Oct 03 2013 15:23:00 Input file defining nodes for temperature and thermal gradient evaluation Design Condition DC2_despres.out 41742 Oct 07 2013 14:54:49 Output file for design Condition HUCD Transient hucd tr.mac 27643 Oct 03 2013 15:50:51 Input file contains definition of HUCD transient DC2_HUCDth.out 57841 Oct 03 2013 17:55:26 Output file for thermal analysis of HUCD DC2_HUCD dt.out 46646 Oct 03 2013 17:55:28 Output file contains thermal gradients of HUCD DC2_HUCD_st.out 16260 Oct 03 2013 17:55:39 Output file for stress analysis of HUCD LDLI Transient Idlitr.mac 19186 Oct 03 2013 15:51:02 Input file contains definition of LDLI transient Page 90 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary File Name Checksum Modified Date Time Description DC2_LDLlth.out 25006 Oct 03 2013 17:56:19 Output file for thermal analysis of LDLI DC2_LDLIdt.out 30133 Oct 03 2013 17:56:21 Output file contains thermal gradients of LDLI DC2_LDLIst.out 02521 Oct 03 2013 17:56:35 Output file for stress analysis of LDLI LLD Transient lid-tr.mac 31823 Oct 03 201315:51:21 Input file contains definition of LLD transient DC2_LLDth.out 04182 Oct 03 2013 17:57:10 Output file for thermal analysis of LLD DC2_LLD dt.out 08066 Oct 03 2013 17:57:12 Output file contains thermal gradients of LLD DC2_LLDst.out 25038 Oct 03 2013 17:57:25 Output file for stress analysis of LLD LOL Transient Ioltr.mac 10419 Oct 03 2013 15:51:31 Input file contains definition of LLD transient DC2_LOLth.out 11502 Oct 03 2013 17:57:54 Output file for thermal analysis of LLD DC2_LOLdt.out 59140 Oct 03 2013 17:57:56 Output file contains thermal gradients of LLD DC2_LOLst.out 08679 Oct 03 2013 17:58:04 Output file for stress analysis of LLD LOP Transient Input file contains definition of LOP Iopjtr.mac 03421 Oct 032013 15:51 :37 transient DC2_LOPth.out 07618 Oct 03 2013 17:58:30 Output file for thermal analysis of LOP DC2 LOP dt.out 49056 Oct 03 2013 17:58:32 Output file contains thermal gradients of 02o 4LOP DC2_LOPst.out 47331 Oct 03 2013 17:58:43 Output file for stress analysis of LOP LOF Transient Input file contains definition of LOF Iof_tr.mac 31206 Oct 03 2013 15:51:26 transient DC2_LOFth.out 42379 Oct 03 2013 17:59:18 Output file for thermal analysis of LOF DC2_LOF dt'out 25101 Oct 03 2013 17:59:21 Output file contains thermal gradients of LOF DC2_LOFst.out 32597 Oct 03 2013 17:59:31 Output file for stress analysis of LOF RT Transient rttr.mac DC2_RT th.out 34473 31820 Oct 03 2013 15:51:42 Oct 03 2013 17:59:55 Input file contains definition of RT transient Output file for thermal analysis of RT Page 91 Controlled Document A ARE VA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary File Name Checksum Modified Date Time Description DC2 RT dt.out 48885 Oct 03 2013 17:59:57 Output file contains thermal gradients of RT DC2_RT st.out 49916 Oct 03 2013 18:00:01 Output file for stress analysis of RT TRT Transient trt tr.mac 27728 Oct 032013 15:51:52 Input file contains definition of TRT transient DC2_TRTth.out 00883 Oct 03 2013 18:00:21 Output file for thermal analysis of TRT DC2_TRT dt.out 45034 Oct 03 2013 18:00:22 Output file contains thermal gradients of TRT DC2_TRTst.out 23465 Oct 03 2013 18:00:27 Output file for stress analysis of TRT IASA Transient iasa tr.mac 05656 Oct 03 2013 15:50:56 Input file contains definition of IASA transient DC2_IASA_th.out 59663 Oct 03 2013 18:00:52 Output file for thermal analysis of IASA 002_IASA dt.out 55483 Oct 03 2013 18:00:54 Output file contains thermal gradients of IASA DC2_IASAst.out 06253 Oct 03 2013 18:01:02 Output file for stress analysis of IASA SVO Transient svo tr.mac 13828 Oct 03 2013 15:51:47 Input file contains definition of SVO m 1transient DC2_SVOth.out 42410 Oct 03 2013 18:01:18 Output file for thermal analysis of SVO 002_SVO dt.out 29021 Oct 03 2013 18:01:20 Output file contains thermal gradients of SvO DC2_SVO_st.out 43057 Oct 03 2013 18:01:29 Output file for stress analysis of SVO Fatigue Usage Factor Calculation F_M+B HA [F_M+B HA [F_M+B HA [F_M+B HA [F_M+B HA [F_M+B HA [F_M+B HA [F_M+B HA [-out_jA.out-out_A.out-out]A.out-out A.out 29510 64248 51428 47829 08232 07596 01543 59300 Oct 03 2013 18:01:34 Oct 03 2013 18:02:16 Oct 03 2013 18:01:45 Oct 03 2013 18:02:26 Oct 03 2013 18:01:51 Oct 03 2013 18:02:32 Oct 03 2013 18:02:03 Oct 03 2013 18:02:42 Stress range results for membrane +bending stresses Stress range results for membrane +bending stresses Stress range results for membrane +bending stresses Stress range results for membrane +bending stresses Stress range results for membrane +bending stresses Stress range results for membrane +bending stresses Stress range results for membrane +bending stresses Stress range results for membrane +bending stresses Page 92 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary File Name Checksum Modified Date Time Description Stress range results for membrane +F_M+B HA. [ .out 10543, Oct 032013 18:01 :39 bending stresses FM+13BHA [ A.out 43573 Oct 03 2013 18:02:21 Stress range results for membrane +F_M+B LA [ _out 19912 Oct 03 2013 18:02:12 Stress range results for membrane+bending stresses Stress range results for membrane +F_M+BJ.LA
] .out 599711 Oct 03 2013 18:02:47 bndn2trse bending stresses FTOTHA_ [ out 21086 Oct 03 2013 18:02:52 Stress range results for total stresses F_TOT HA ] _A.out 25975 Oct 03 2013 18:03:34 Stress range results for total stresses F_TOT HA[ ] out 35155 Oct 03 2013 18:03:04 Stress range results for total stresses F_TOT HA ] _A.out 28171 Oct 03 2013 18:03:44 Stress range results for total stresses F_TOT HA ] .out 23771 Oct 03 2013 18:03:10 Stress range results for total stresses F_TOT HA ] _A.out 41108 Oct 03 2013 18:03:49 Stress range results for total stresses F_TOT HA ] Jout 25709 Oct 03 2013 18:03:21 Stress range results for total stresses F_TOT HA ] _A.out 00001 Oct 03 2013 18:03:59 Stress range results for total stresses F_TOT HA ] out 44663 Oct 03 2013 18:02:58 Stress range results for total stresses F_TOT HA ] _A.out 35064 Oct 03 2013 18:03:39 Stress range results for total stresses F_TOT LA ] .out 63599 Oct 03 2013 18:03:30 Stress range results for total stresses F_TOT LA ] _A.out 36798 Oct 03 2013 18:04:05 Stress range results for total stresses ANSYS Verification Files vm56.out 41461 Oct 03 2013 16:41:13 2-D 8-node structural element vm56.vrt 40729 Oct 03 2013 16:41:13 2-D 8-node structural element vml12.out 11272 Oct 03 2013 16:40:56 2-D 8-node thermal element vmll2.vrt 46559 Oct 03 2013 16:40:56 2-D 8-node thermal element Fracture for Appendix A DC2_fr old path.out FrPathLocs.out DC2_HUCDfrSY.out DC2_HUCD fr SZ.out DC2_HUCDfrTH.out 23204 07208 43320 62604 02629 Oct 04 2013 09:31:23 Oct 04 2013 09:31:23 Oct 04 2013 09:31:23 Oct 04 2013 09:31:23 Oct 04 2013 09:31:23 Output files contains definition for fracture calculation Output files contains path point distances from the inside nodes Output file contains stress components along the fracture paths for HUGO transient Output file contains stress components along the fracture paths for HUGO transient Output file contains temperatures along Page 93 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary File Name Checksum Modified Date Time Description the fracture paths for HUCD transient DC2_LDLIlfr_SY.out DC2_LDLI frSZ.out DC2_LDLIfr_TH.out DC2 LLD fr SY.out DC2_LLD frSZ.out DC2_LLD frTH.out DC2_LOL frSY.out DC2_LOLfrSZ.out DC2_LOL-fr_TH.out DC2_LOP fr SY.out DC2_LOP frSZ.out DC2_LOPfrTH.out DC2_LOF frSY.out DC2_LOF frSZ.out DC2_LOFfrTH.out DC2 RT fr SY.out DC2_RT frSZ.out DC2_RT frTH.out DC2_TRT frSY.out DC2_TRT-fr_SZ.out 09561 50981 58283 08728 04504 41124 15738 46249 09011 47503 28046 49779 25862 16865 65159 50489 56676 59558 64394 38804 Oct 04 2013 09:31:15 Oct 04 2013 09:31:15 Oct 04 2013 09:31:15 Oct 04 2013 09:31:16 Oct 04 2013 09:31:16 Oct 04 2013 09:31:16 Oct 04 2013 09:31:17 Oct 04 2013 09:31:17 Oct 04 2013 09:31:17 Oct 04 2013 09:31:19 Oct 04 2013 09:31:19 Oct 04 2013 09:31:19 Oct 04 2013 09:31:19 Oct 04 2013 09:31:19 Oct 04 2013 09:31:19 Oct 04 2013 09:31:20 Oct 04 2013 09:31:20 Oct 04 2013 09:31:20 Oct 04 2013 09:31:20 Oct 04 2013 09:31:20 Output file contains stress components along the fracture paths for LDLI transient Output file contains stress components along the fracture paths for LDLI transient Output file contains temperatures along the fracture paths for LDLI transient Output file contains stress components along the fracture paths for LLD transient Output file contains stress components along the fracture paths for LLD transient Output file contains temperatures along the fracture paths for LLD transient Output file contains stress components along the fracture paths for LOL transient Output file contains stress components along the fracture paths for LOL transient Output file contains temperatures along the fracture paths for LOL transient Output file contains stress components along the fracture paths for LOP transient Output file contains stress components along the fracture paths for LOP transient Output file contains temperatures along the fracture paths for LOP transient Output file contains stress components along the fracture paths for LOF transient Output file contains stress components along the fracture paths for LOF transient Output file contains temperatures along the fracture paths for LOF transient Output file contains stress components along the fracture paths for RT transient Output file contains stress components along the fracture paths for RT transient Output file contains temperatures along the fracture paths for RT transient Output file contains stress components along the fracture paths for TRT transient Output file contains stress components Page 94 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary File Name Checksum Modified Date Time Description along the fracture paths for TRT transient DC2_TRT frTH~out 16354 Oct 04 201309.31:20 Output file contains temperatures along the fracture paths for TRT transient Output file contains stress components DC2_IASA-frSY.out 43199 Oct 04 2013 09:31:21 along the fracture paths for IASA transient Output file contains stress components DC2_IASA frSZ.out 60834 Oct 04 2013 09:31:21 along the fracture paths for IASA transient DC2 IASA fr TH.out 45152 Oct 04 2013 09:31:21 Output file contains temperatures along the fracture paths for IASA transient Output file contains stress components DC2_SVOfr_SY.out 50107 Oct 04 2013 09:31:22 along the fracture paths for SVO transient Output file contains stress components DC2_SVOfrSZ.out 35035 Oct 04 2013 09:31:22 along the fracture paths for SVO transient DC2_SVO frTH.out 56485 Oct 04 2013 09:31:22 Output file contains temperatures along the fracture paths for SVO transient ANSYS Comparison S26601 Oct 04 2013 09:47:58 Stress comparison of ANSYS 11.0 and comparison.xlsx 2601 Ot14.03 9475 14.0 Fracture for Appendix C DC2_fr-new-path.out FrnewPathLocs.out DC2_HUCD frNewPathSX.out DC2_HUCDGfr_NewPathSY.out 13159 13999 17800 19076 DC2_HUCDOfrNewPathSZ.out 38392 DC2_H UCDfrNewPathSh.out 32532 DC2_HUCGDfrNewPathTH.out 49107 DC2_LDLl frNewPathSX.out 35915 DC2_LDLIlfr_NewPathSY.out 42153 Oct 08 2013 11:25:33 Oct 08 2013 11:25:33 Oct 08 2013 11:24:53 Oct 08 2013 11:24:53 Oct 08 2013 11:24:53 Oct 08 2013 11:24:53 Oct 08 2013 11:24:53 Oct 08 2013 11:25:01 Oct 08 2013 11:25:01 Output files contains definition for fracture calculation Output files contains path point distances from the inside nodes Output file contains stress components along the fracture paths for HUGO transient Output file contains stress components along the fracture paths for HUGO transient Output file contains stress components along the fracture paths for HUGO transient Output file contains stress components along the fracture paths for HUGO transient Output file contains temperatures along the fracture paths for HUGO transient Output file contains stress components along the fracture paths for LOLl transient Output file contains stress components along the fracture paths for LOLl transient Page 95 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary File Name Checksum Modified Date Time Description DC2_LDLl_frNewPathSZ.out DC2_LD Ll_frNewPathSh out DC2_LDLI frNewPathTH.out DC2_LLDfrNewPath_SX.out DC2_LLDfrNewPath_SY.out DC2_LLDfrNewPathSZ.out DC2_LLD_frNewPath_Sh.out DC2_LLD_fr_NewPath_TH.
out DC2_LOL_frNewPathSX.
out DC2_LO L_frNewPathSY.out DC2_LOL frNewPathSZ.out DC2_LOL frNewPathSh.out DC2_LO L_frNewPathTH.out DC2_LOP frNewPathSX.out DC2_LOP frNewPathSY.out DC2_LOPfr NewPathSZ.out DC2_LOPfr NewPathSh.out DC2_LOP frNewPathTH.out DC2_LOFfrNewPathSX.out 45742 40894 16447 59180 41648 24752 21732 24282 13109 36875 20482 26337 46469 18800 33876 31939 48017 00906 16427 Oct 08 2013 11:25:01 Oct 08 2013 11:25:01 Oct 08 2013 11:25:01 Oct 08 2013 11:25:09 Oct 08 2013 11:25:09 Oct 08 2013 11:25:09 Oct 08 2013 11:25:09 Oct 08 2013 11:25:09 Oct 08 2013 11:25:15 Oct 08 2013 11:25:15 Oct 08 2013 11:25:15 Oct 08 2013 11:25:15 Oct 08 2013 11:25:15 Oct 08 2013 11:25:20 Oct 08 2013 11:25:20 Oct 08 2013 11:25:20 Oct 08 2013 11:25:20 Oct 08 2013 11:25:20 Oct 08 2013 11:25:24 Output file contains stress components along the fracture paths for LDLI transient Output file contains stress components along the fracture paths for LDLI transient Output file contains temperatures along the fracture paths for LDLI transient Output file contains stress components along the fracture paths for LLD transient Output file contains stress components.
along the fracture paths for LLD transient Output file contains stress components along the fracture paths for LLD transient Output file contains stress components along the fracture paths for LLD transient Output file contains temperatures along the fracture paths for LLD transient Output file contains stress components along the fracture paths for LOL transient Output file contains stress components along the fracture paths for LOL transient Output file contains stress components along the fracture paths for LOL transient Output file contains stress components along the fracture paths for LOL transient Output file contains temperatures along the fracture paths for LOL transient Output file contains stress components along the fracture paths for LOP transient Output file contains stress components along the fracture paths for LOP transient Output file contains stress components along the fracture paths for LOP transient Output file contains stress components along the fracture paths for LOP transient Output file contains temperatures along the fracture paths for LOP transient Output file contains stress components along the fracture paths for LOF Page 96 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary File Name Checksum Modified Date Time Description transient DC2_LOF frNewPathSY.out DC2_LOF frNewPathSZ.out DC2_LOF frNewPathSh.out DC2_LOF frNewPathTH.
out DC2_RTfrNewPath_SX.out DC2_RTfrNewPath_SY.out DC2_RTfrNewPath_SZ.out DC2_RT frNewPathSh.out DC2_RT frNewPathTH out DC2_TRT frNewPathSX.out DC2_TRT frNewPathSY.out DC2_TRTfrNewPath_SZ.out DC2_TRTfrNewPath_S h out DC2_TRT frNewPathTH.out DC2_IASA frNewPathSX.out DC2_IASAfrNewPathSY.
out DC2_IASAfrNewPathSZ.out DC2_IASAfrNewPathSh out DC2_IASA frNewPathTH.out DC2_SVO_fr_NewPath_SX.
out 43482 32519 48901 08926 28079 23652 12147 19547 39622 04628 36174 33574 06811 59357 07627 24190 16655 22483 02731 07270 Oct 08 2013 11:25:24 Oct 08 2013 11:25:24 Oct 08 2013 11:25:24 Oct 08 2013 11:25:24 Oct 08 2013 11:25:25 Oct 08 2013 11:25:25 Oct 08 2013 11:25:25 Oct 08 2013 11:25:25 Oct 08 2013 11:25:25 Oct 08 2013 11:25:27 Oct 08 2013 11:25:27 Oct 08 2013 11:25:27 Oct 08 2013 11:25:27 Oct 08 2013 11:25:27 Oct 08 2013 11:25:29 Oct 08 2013 11:25:29 Oct 08 2013 11:25:29 Oct 08 2013 11:25:29 Oct 08 2013 11:25:29 Oct 08 2013 11:25:33 Output file contains stress components along the fracture paths for LOF transient Output file contains stress components along the fracture paths for LOF transient Output file contains stress components along the fracture paths for LOF transient Output file contains temperatures along the fracture paths for LOF transient Output file contains stress components along the fracture paths for RT transient Output file contains stress components along the fracture paths for RT transient Output file contains stress components along the fracture paths for RT transient Output file contains stress components along the fracture paths for RT transient Output file contains temperatures along the fracture paths for RT transient Output file contains stress components along the fracture paths for TRT transient Output file contains stress components along the fracture paths for TRT transient Output file contains stress components along the fracture paths for TRT transient Output file contains stress components along the fracture paths for TRT transient Output file contains temperatures along the fracture paths for TRT transient Output file contains stress components along the fracture paths for IASA transient Output file contains stress components along the fracture paths for IASA transient Output file contains stress components along the fracture paths for IASA transient Output file contains stress components along the fracture paths for IASA transient Output file contains temperatures along the fracture paths for IASA transient Output file contains stress components Page 97 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary File Name Checksum Modified Date Time Description along the fracture paths for SVO transient Output file contains stress components DC2_SVOfrNewPathSY.out 12050 Oct 08 2013 11:25:33 along the fracture paths for SVO transient Output file contains stress components DC2_SVOfrNewPath_SZ.out 57834 Oct 08 2013 11:25:33 along the fracture paths for SVO transient Output file contains stress components DC2_SVO frNewPathSh.out 08033 Oct 08 2013 11:25:33 along the fracture paths for SVO transient 02_SVO frNewPathTH.out 35999 Oct 08 2013 11:25:33 Output file contains temperatures along the fracture paths for SVO transient Page 98 Controlled Document A AR EVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary APPENDIX C- STRESSES FOR SAFETY NOZZLE WOL FRACTURE MECHANICS ANALYSIS FOR OUTAGE 2R17 C,1 Purpose During 2013 outage (2R17) inservice inspection indications were detected in the weld overlaid Pressurizer Safety/Relief Nozzles. The indications are described in the Diablo Canyon Power Plant Design Input Transmittal (DIT) summarized in Reference
[18]. The purpose of this appendix is to provide stress and thermal results of the transient analysis for fractdre mechanics evaluation along pathlines matching the detected indications in the Safety/Relief Nozzles.C.2 Path Lines Determination Per Reference
[18], rejectable indications are existed in safety nozzles A, B and C as shown in Figure C-1, Figure C-2, and Figure C-3, respectively.
The indications in nozzles A and B are located at the interface between WOL and nozzle. For nozzle C, there are two indications; indication C1 is located at the interface of WOL and nozzle while indication C2 is in the WOL near safe end to pipe weld.Figure C-1: Safety Nozzle "A" Indication Plot Page 99 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary" Figure C-2: Safety Nozzle "B" Indication Plot Figure C-3: Safety Nozzle "C" Indication Plot The path lines determined for fracture mechanics analysis are based on the indications shown above.Note that the stress analysis performed in this calculation uses a finite element model representing all the three Safety Nozzles. The path lines in the finite element model are illustrated in Figure C-4 and described in Table C-1. The first two path lines (A-wol and Anoz) represent the indications A and C1.These two path lines are defined by the same nodes but different materials since the path is located at the interface of two different materials.
One of the path lines is using WOL material and second one is Page 100 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary using nozzle material properties by selecting respective materials in the post process analysis.
Since the indication A is not a straight line in Figure C-1, the path line is defined by four nodes along the interface between the WOL and nozzle materials.
Similar to the path line for indication A and C1, two path lines (B-wol and B-noz) are defined to represent indication B with different materials assigned.
Indication C2 is represented by path line C2_wol, which is completely within the WOL material.
Three more path lines (A_pln, B pIn, and C2_pln) are defined to represent any assumed planar component of the existing laminar indications.
Note nozzle liner is not included in the planar path lines. Only the indications
(#1, #1a) in Nozzle A is found to have any planar component and hence only path line A_pIn is used further in the flaw evaluations.
Bpln and C2_pin are shown only for information purposes only.Table C-1: Path Lines Description Node Intermedi Node Path Line Numbers ate Node Numbers Location Material Start Numbers End A wol 1465 1464,1466 1472 Indications A and C A noz B wol-1428 none 1462 Indication B B noz C2_wol 275 none 278 Indication C2 Planar flaw cross A_pIn 1227 none 1467 inat Alan cr indications A and C1 Planar flaw cross B_pIn 1220, none 1459 in at B indication B Planar flaw cross C2_pIn 1578, none 1391 inat c2 indication C2 Page 101 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure C-4: Path Lines Defined for Fracture Mechanics Evaluation C.3 Stress and Temperature Evaluation The post processor calculation for fracture analysis is contained in computer file: DC2 fr new path.out Stresses along the path line in the global coordinate system with "y" axis along the nozzle axis are summarized at thirteen points separated by an equal distance from the inside node to the outside node.At each point the radial (Sx) stress, axial (Sy) stress, hoop (Sz) stress, shear (Sh) stress on XY surface, and the temperature (Th) in the weld or weld overlay are given.The path point distances from the inside nodes are included in the output file: FrnewPathLocs.out ANSYS post processing output files are listed in Section B.5 and the stresses and temperatures output results files for the fracture mechanics are listed below: DC2_HUCDfrNewPath_SX.out DC2_LDLl_fr_NewPath_SX.out DC2_LLDfrNewPath_SX.out DC2_LOLfrNewPath_SX.out DC2_LOPfrNewPathSX.out DC2_HUCD frNewPathSY.out DC2_LDLIfrNewPathSY.out DC2_LOFfrNewPathSX.out DC2_RT_fr_NewPath_SX.out DC2_TRTfrNewPath_SX.out DC2_lASA_fr_NewPath_SX.out DC2 SVO fr NewPath SX.out DC2_LOFfrNewPath_SY.out DC2_RTfrNewPath_SY.out Page 102 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary DC2_LLD frNewPathSY.out DC2_LOLfrNewPath_SY.out DC2_LOPfrNewPath_SY.out DC2_HUCD frNewPathSZ.out DC2_LDLIfrNewPathSZ.out DC2_LLDfrNewPath_SZ.out DC2_LOLfrNewPath_SZ.out DC2_LOPfrNewPathSZ.out DC2_HUCD frNewPathSh.out DC2_LDLIfrNewPath_Sh.out DC2_LLDfrNewPath_Sh.out DC2_LOLfrNewPath_Sh.out DC2_LOP frNewPathSh.out DC2_HUCDfrNewPath_TH.out DC2_LDLIfrNewPath_TH.out DC2_LLD frNewPathTH.out DC2_LOL_fr_NewPath_TH.out DC2_LOPfrNewPath_TH.out DC2_TRTfrNewPathSY.out DC2_IASA_fr_NewPath_SY.out DC2_SVOfrNewPath_SY.out DC2_LOFfrNewPath_SZ.out DC2_RTfrNewPath_SZ.out DC2_TRTfrNewPath_SZ.out DC2_IASA_fr_NewPath_SZ.out DC2_SVOfrNewPath_SZ.out DC2_LOFfrNewPath_Sh.out DC2_RTfrNewPath_Sh.out DC2_TRTfrNewPath_Sh.out DC2_IASAfrNewPath_Sh.out DC2_SVOfrNewPath_Sh.out DC2_LOFfrNewPathTH.out DC2_RTfrNewPath_TH.out DC2_TRTfrNewPath_TH.out DC2_IASAfrNewPath_TH.out DC2_SVOfrNewPath_TH.out To investigate the magnitude and distribution of stresses at the existing indications, contour plots at the critical transients and time points are extracted.
An example is in transient HUGO where thermal gradients are large at time=13 and 18.6 hrs (see Figure 9). The contour plots of radial stress and shear stress at time=13 in HUMD are illustrated in Figure C-5 and Figure C-6, respectively.
The same plots for time=18.6 are illustrated in Figure C-7 and Figure C-8. It is found that stresses are higher at time=13, where the maximum radial stress at all the indications is about 4 ksi (indication A nozzle side)and maximum shear stress is about -6 ksi (indication A nozzle side). From Figure 8 through Figure 27, the maximum thermal gradient is at time=0.1 (hr) in transient IASA (Figure 25). Its radial stress and shear stress contour plots are provided in Figure C-9 and Figure C-10, respectively.
The maximum radial stress at all the indications is about 4 ksi (indication A nozzle side) and maximum shear stress is about -6 ksi (indication A nozzle side) and 6 ksi (indication A WOL side).Page 103 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure C-5: Radial Stress at Time [Figure C-6: Shear Stress at Time [] (hr) in HUCD] (hr) in HUCO Page 104 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure C-7: Radial Stress at Time [Figure C-8: Shear Stress at Time [] (hr) in HUCD] (hr) in HUCD Page 105 Controlled Document A AREVA Document No. 32-9219780-000 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle Weld Overlay Structural Analysis -Non-Proprietary Figure C-9: Radial Stress at Time [Figure C-10: Shear Stress at Time [] (hr) in IASA] (hr) in IASA Page 106