ML031250545

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ISFSI Cask Storage Pad Concrete Shrinkage & Thermal Stresses, Attachment 2 Table of Contents Through Appendix RPad-TH
ML031250545
Person / Time
Site: Diablo Canyon  Pacific Gas & Electric icon.png
Issue date: 03/03/2003
From: Evers R, Tumminelli S, Whitmore K
Enercon Services
To:
Office of Nuclear Reactor Regulation
References
+sispmjr200505, -RFPFR, DIL-03-003, PGE-009, TAC L23399 PGE-009-CALC-006, Rev 1
Download: ML031250545 (126)


Text

{{#Wiki_filter:ATTACHMENT 2

I CaIc. No. PGE-009-CALC-006 G I ENGINEERING CALCULATION Rev. 1 RA.;COVER SHEET ENERCON SERVICES, INC. Sheet 1 of 64

Title:

ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses Client: PG&E Job No. PGE-009 Purpose Of Calculation: The purpose of this calculation is to compute the forces and moments within the storage pad for the temperatures resulting from the heat of hydration during the curing process and from the shrinkage of the concrete. The ISFSI Facility will contain (7) pads, which will support (20) HI-Storm Storage Casks per pad. The results from this Calculation, along with the results from the seismic analysis, Calculation No. PGE-009-CALC-003, will be used in Calculation No. PGE-009-CALC-007 to evaluate the concrete per the design codes and to determine the size of steel reinforcement. NOTE: This Calculation is furnished as part of PG&E Contract No. 4600010841, Change Order No. 001 Scope Of Revision: This revision incorporates an additional thermal analysis for the heat generated during the initial curing of the concrete. It was therefore necessary to differentiate between this additional analysis and the original analysis presented in revision 0. The original analysis presented in revision 0 is referred to herein as the "constrained analysis", and the additional thermal analysis is referred to as the "unconstrained analysis". Revision Impact On Results: Provides additional thermal forces for evaluation in subsequent calculations. Safety Related E Non-Safety Related ] Preliminary Calculation Z Final Approvals (Print Name and Sign). Originator S.C. TUMMINELLI Date March 3,2003 Reviewer Verification Engineer K.L. WHITMORE Date March 3,2003 Approver R.F. EVERS A Date March 3,2003 g_ F ._-P iQz;

SHEET 2 OF 64 ENGINEERING CALCULATION REVISION STATUS SHEET ENERCON SERVICES, INC. CALCULATION NO. PGE-009-CALC-006 ENGINEERING CALCULATION REVISION

SUMMARY

REVISION NO. DATE DESCRIPTION 0 9/20/02 Initial Issue 1 3/03/03 Added a thermal analysis CALCULATION SHEET REVISION STATUS SHEET NO. REVISION NO. SHEET NO. REVISION NO. All 0 All I APPENDIX AND ATTACHMENT REVISION STATUS APPENDIX ISSUE REV. REISSUE APPENDIX ISSUE REV. REISSUE NUMBER DATE DATE DATE NUMBER DATE DATE DATE TH-Loads 9/20/02 3/03/03 DPad-SH 9/20/02 3/03/03 RPad-TH 9/20/02 3/03/03 SPad-SH 9/20/02 3/03/03 EPad-TH 9/20/02 3/03/03 FPad-SH 9/20/02 3/03/03 DPad-TH 9/20/02 3/03/03 FTPad-SH 9/20/02 3/03/03 SPad-TH 9/20/02 3/03/03 THNC-Loads 3/03/03 FPad-TH 9/20/02 3/03/03 RPadNC-TH 3/03/03 TPad-TH 9/20/02 3/03/03 EPadNC-TH 3/03/03 LSPad-TH 9/20/02 3/03/03 SPadNC-TH 3/03/03 LCPad-TH 9/20/02 3/03/03 LSPadNC-TH 3/03/03 STPad-TH 9/20/02 3/03/03 LCPadNC-TH 3/03/03 SH-Loads 9/20/02 3/03/03 STPadNC-TH 3/03/03 RPad-SH 9/20/02 3/03/03 EPad-SH 9/20/02 3/03/03

SHEET 3 OF 64 JOB. NO. PGE-009 DATE March 3, 2003 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tumminelli ENERCON REVIEWER K. L. Whitmore APPROVED R. F. Evers SERVICES, INC. CALCULATION NO. PGE-009-CALC-006 REVISION 1 l Method of Review: // The calculation has been independently reviewed in accordance with the requirements of ENERCON Corporate Standard Procedure 3.01. The independent verification of the calculation was performed by a detailed review and check of the entire calculation. This included verification of inputs, methodology, results and conclusions as well as a check of the mathematical accuracy of the computations. Results: The calculation has been independently verified to be mathematically correct and to be performed in accordance with license and design basis requirements and applicable codes. Inputs are appropriate and are obtained from verified source documents. The calculation is sufficiently documented and detailed to permit independent verification. No assumptions are made other than conservative simplifying assumptions which are identified and do not require confirmation. The methodology used is appropriate and consistent with the purpose of the calculation. With the exception of the use of non-linear contact elements between the bottom of the concrete support pad and the surface of the rock, the analysis documented in this calculation is a straightforward, first order linear static analysis. The analysis is performed using ANSYS, a computer analysis code that is in widespread use throughout the nuclear industry and that is known to produce accurate results when utilized appropriately. The use of the non-linear contact elements has been separately verified in computer verification and validation report PGE-009-VVR-003. These elements are designed to transfer compression loads from the concrete pad to the rock but to not transfer any tension loads across the surface. This allows the pad to lift free from the rock in the model if the loads and geometry indicate that liftoff should occur. As documented in PGE-009-VVR-003, these elements have been shown to produce results that are consistent with theoretical values and hand calculations. Thus, the use of these elements in the analysis produces appropriate results. Thus, the analysis has been independently verified to be technically correct and to be consistent with license and design basis requirements. The results and conclusions accurately reflect the findings of the calculation.

ENERCON SERVICES, INC. SHEET 4 OF 64 l JOB. NO. PGE-009 DATE March 3,2003 l PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tumminelli REVIEWER K. L. Whitmore APPROVED R. F. Evers CALCULATION NO. PGE-009-CALC-006 REVISION 1 Table of Contents Body of Calculation ISFSI Pad Shrinkage and Thermal Analysis References Temperature Data Shrinkage Data Concrete Properties Material and Temperature Input Data Thermal Stress Analysis Considerations Shrinkage Stress Analysis Considerations Pad ANSYS Static Model Construction Description Concrete Pad Rock Constraint Equations - Constrained Model Only Contact Elements Material Numbers Boundary Conditions Loads and Analysis Constrained Model - Analysis Results - Thermal Stress Analysis Constrained Model - Pad Response - Displacements Constrained Model - Pad Response - Stresses Constrained Model - Pad Response - Internal Forces Unconstrained Model - Analysis Results - Thermal Stress Analysis Unconstrained Model - Pad Response - Displacements Unconstrained Model - Pad Response - Stresses Analysis Results - Shrinkage Stress Analysis Pad Response - Displacements Pad Response - Stresses Pad Response - Internal Forces Summary and Conclusions Sheet 6 18 29 50 58 55

ENERCON SERVICES, INC. SHEET 5 OF 64 l JOB. NO. PGE-009 DATE March 3,2003 l PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tumminelli REVIEWER K. L. Whitmore APPROVED R. F. Evers CALCULATION NO. PGE-009-CALC-006 REVISION 1 Appendices: Thermal Stress Analysis Documentation Appendices: Constrained Thermal Model Pages TH-Loads RPad-TH EPad-TH DPad-TH SPad-TH FPad-TH TPad-TH LSPad-TH LCPad-TH STPad-TH Applied loads ANSYS file documenting the analyses and temperatures ANSYS file documenting equilibrium ANSYS file documenting the displacements ANSYS file documenting the stresses ANSYS file documenting the internal forces ANSYS Temperature plots ANSYS Load Step plots ANSYS Load Case plots ANSYS Stress Plots 6 55 18 13 47 91 7 8 8 12 21 64 18 47 7 7 18 Pages Unconstrained Thermal Model THNC-Loads Applied loads RPadNC-TH ANSYS file documenting the analyses and temperatures EPadNC-TH ANSYS file documenting equilibrium SPadNC-TH ANSYS file documenting the stresses LSPadNC-TH ANSYS Load Step plots LCPadNC-TH ANSYS Load Case plots STPadNC-TH ANSYS Stress Plots Shrinkage Stress Analysis Documentation Appendices: SH-Loads RPad-SH EPad-SH DPad-SH SPad-SH FPad-SH FTPad-SH Applied loads ANSYS files documenting the analyses and temperatures ANSYS files documenting equilibrium ANSYS files documenting the displacements ANSYS files documenting the stresses ANSYS files documenting the internal forces ANSYS files documenting the internal forces for the top sections of the pad 2 11 6 7 9 13 25

SHEET 6 OF 64 t JOB. NO. PGE-009 DATE March 3,2003 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tumminelli ENERCON REVIEWER K. L. Whitmore APPROVED R. F. Evers SERVICES, INC. CALCULATION NO. PGE-009-CALC-006 REVISION I l ISFSI Pad Shrinkage and Thermal Analysis The purpose of this calculation is to determine the thermal and shrinkage stresses of the ISFSI storage pad and to provide thermal and shrinkage forces and moments. These forces and moments, together with the seismic forces and moments from a previous calculation (Reference 1), will be used to demonstrate that the design is compliant with the ACI Code and to size the pad reinforcement. This calculation follows the same general format as the seismic calculation (Reference 1) and makes extensive use of the analytical strategies presented there. Consequently, frequent references to that calculation will be made herein. The storage pad analyzed here is 105 feet N-S by 68 feet E-W and nominally 8 feet thick. The seismic calculation analyzed a 7.5-foot thick pad. That thickness is the thinnest that the pad can be, while 8 feet is the thickest. The surface of the pad is contoured to facilitate drainage, while the bottom is at a constant elevation. In a seismic event the design relies upon the mass of the pad to hold the casks and the pad down to the rock. Hence it is appropriate to use the minimum pad thickness for the seismic analysis, since this minimizes the pad mass. The use of the maximum pad thickness in this calculation is appropriate since this maximizes the applied heat and temperatures within the pad. The pad will be constructed using a leveling pad or "mud" mat. This "mud" mat will be an unreinforced concrete mat that will be placed upon the prepared rock to provide a level surface that will be used to construct the pad. The thickness of the mat will vary depending upon the constructor's technique to excavate the rock to a level surface. However, since the mat is not explicitly modeled, and since its properties are conservatively bounded by the properties of the rock, regardless of its thickness, the actual constructed thickness of the mat does not affect the results of this calculation. PG&E (Reference 2) provided the shrinkage and thermal data. The temperature data provided are the internal concrete pad temperatures as a function of time that occur as the heat generated by cement hydration is dissipated through the structure to the ambient. That calculation is for a specific concrete mix as specified by PG&E, and for a pad that is cast all at once, i.e., the underlying assumption is that the 105 by 68 by 8 foot concrete pad is instantaneously installed and begins to heat due to cement hydration. The calculation assumes that all the generated heat dissipates both upward to the concrete surface and then to air, and downward to the underlying rock strata. Heat dissipated out to the sides of the concrete is not considered. However, given the shape of the pad, the heat that may dissipate from the sides will be a small portion of the total and hence negligible. The actual amount of heat that will be dissipated from the sides of the pad will be a function of the type of concrete form, steel or wood, that is used. The steel form will allow more heat dissipation than the wood form but both will have a negligible effect on the pad responses computed here, though very some local and inconsequential stresses on the edges of the pad may arise. The heating transient due to cement hydration lasts for eight days. The shrinkage strains are a result of the moisture loss and the moisture gradient that is established in the concrete. The shrinkage process is very slow, reaching maximum shrinkage at 117 days, and therefore,

SHEET 7 OF 64 JOB. NO. PGE-009 DATE March 3,2003 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tumminelli ENERCON REVIEWER K. L. Whitmore APPROVED R. F. Evers SERVICES, INC. CALCULATION NO. PGE-009-CALC-006 REVISION 1 does not occur within the same time frame as the heat up due to cement hydration. Hence, the two effects can be considered separately. Three separate analyses are performed; two for the thermal stress analysis and one for the shrinkage stress analysis. The two thermal stress analyses bound the conditions in the field. The first analysis considers the pad to be constrained to the rock in both the horizontal directions while allowing lift-off from the rock if conditions warrant. This is the condition described for slabs in ACI 207 (Reference 4). The second analysis allows the pad to slide freely on the rock surface in both horizontal directions. This is a very conservative assessment. The possibility that the pad will freely slip on the rock is a condition not discussed in ACI 207. This analysis is performed in order to bound the condition where the pad might locally break bond with the rock. These analyses, or models, will be referred to herein as "constrained" and "unconstrained". Both thermal stress analyses are performed incrementally. Incremental temperatures at selected times are derived from the pad temperatures from PG&E (Reference 2). These are applied to the finite element models and the Young's modulus of the concrete is adjusted, to account for the strength gain and gain in stiffness, for each of the selected times. The total pad response at a selected time is the sum of all the individual responses up to and including the response at that time. The shrinkage stress analysis uses the constrained model and is performed in one execution. More detail is provided below. The nomenclature for the pad analyses Appendices uses no identifier for the constrained models. The unconstrained model Appendices all have the characters "NC", for No Constraint, embedded in their titles. References I ENERCON Calculation PGE-009-CALC-003, ISFSI Cask Storage Pad Seismic Analysis, latest revision. 2 PG&E Calculation 52.27.100.701, ISFSI Foundation Pad - Thermal and Shrinkage Values, Rev 2, November 8, 2001 3 ACI 207.1R-96, Mass Concrete 4 ACI 207.R2-95, Effect of Restraint, Volume Change, and Reinforcement on Cracking of Mass Concrete. Temperature Data The pad temperatures through the thickness with respect to time were provided by PG&E (Reference 2). Numerical data is provided at the top surface (see Sheet 58, Reference 2) and in 0.5 foot increments through the pad thickness and for four feet into the rock beneath the pad, (see Table 3, Reference 2). This same data is provided graphically, see plots in Figures 5, 6 and 7 in Reference 2. These plots were examined and eleven times were selected for analysis. The times were chosen because they produce stresses that reasonably bound the maximum demand on the pad resulting from the distribution of temperatures considering the shapes of the curves relative to one another. The following times were selected and are shown in Table 1 below.

ENERCON SERVICES, INC. SHEET 8 OF 64 l DATE March 3, 2003 l JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrin CLIENT PG&E-DCPP ORIGIO REVIEWER K. L. Whitmore APPRO CALCULATION NO. PGE-009-CALC-006 .kage and Thermal Stresses 4ATOR VED S. C. Tumminelli R. F. Evers REVISION 1 Table 1 - Selection of times for Thermal Stress Analysis Time (days) Discussion 0.25 Temperature 0.5 feet from the top surface departs from others 0.50 Temperature 0.5 feet from the top surface peaks 0.625 Temperature I foot from the top surface peaks 1.125 Temperature 2 feet from the top surface peaks 1.625 Temperature 3 feet from the top surface peaks 2.125 Temperature 4 feet from the top surface peaks. Temperatures at 6, 7 and 7.5 feet from the top surface at or near peak. 2.375 Temperature 5 feet from the top surface peaks. Temperatures at 6, 7 and 7.5 feet from the top surface at or near peak. 3.125 Temperatures 4 and 6 feet from the top surface are equal. This is transition point. Beyond this point the temperature 4 feet from the top surface is colder and is cooling more rapidly than the temperature 6 feet from the top surface. 4.125 Temperature at pad/rock interface peaks 6.125 Temperatures through the thickness are declining at the same rate (more or less) 7.875 Temperatures through the thickness are declining at the same rate (more or less) The PG&E thermal temperature analysis (Reference 2) and, consequently, the current thermal stress analyses anticipate that the maximum pad forces and moments due to temperature will occur within the first few days of casting the pad. (This will be shown to be true.) This was based, in part, on the discussion provided in Reference 4, Chapters 2 and 2.1. It is especially true for the ISFSI pad because this pad is a high strength mass concrete structure. The concrete has a high proportion of cement and flyash. Therefore, the heat effects and resultant temperatures within the first few days of casting the pad will be the most severe thermal effects the pad will ever experience. Table 2 provides the temperatures above ambient at the selected times from Table 3 in Reference 2. The PG&E calculation uses a differencing scheme that does not provide temperature values at every depth at every time step. Where that occurred, linear interpolation was used to compute the required value from the data at adjacent depths, holding the time constant. Interpolation from one time to another was not performed.

SHEET 9 OF 64 DATE March 3, 2003 JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrin CLIENT PG&E-DCPP ORIGIl ENERCON REVIEWER K. L. Whitmore APPRO SERVICES, INC. CALCULATION NO. PGE-009-CALC-006 .kage and Thermal Stresses 4ATOR S. C. Tumminelli VED R. F. Evers REVISION 1 I Table 2 (1/2) - Pad Temperatures Above Ambient (Degrees F) vs. Time Elevation* Depth* Time (days) 0.25 0.50 0.625 { 1.125 1.625 2.125 8 0.0 15.00 12.50 9.50 4.10 2.00 1.20 7.5 0.5 18.00 28.50 27.15 19.71 14.21 11.15 7 1.0 19.67 28.92 38.24 29.43 22.97 18.91 6.5 1.5 21.33 29.33 42.79 39.69 34.96 31.00 6 2.0 21.33 38.00 47.33 49.95 46.95 43.08 5 3.0 21.33 46.66 55.99 70.99 73.24 71.02 4 4.0 21.33 46.66 55.99 76.10 83.42 84.38 3 5.0 21.33 46.66 55.99 76.31 84.76 87.05 2 6.0 21.33 46.45 55.78 73.64 79.96 81.49 1 7.0 20.50 41.91 51.24 63.12 66.86 67.77 0.5 7.5 19.66 37.58 39.62 50.73 55.18 57.05 0.0 8.0 10.67 23.33 28.00 38.33 43.49 46.32 -0.5 8.5 1.67 9.08 16.38 25.93 31.81 35.59 -1 9.0 0.84 4.75 4.75 13.53 20.13 24.85 -2 10.0 0 0.21 0.21 3.02 7.00 10.82 -3 11.0 0 0 0 0.35 1.73 3.71 -4 12.0 0 0 0 0.01 0.26 0.79

  • See notes after Table 2 (2/2).

SHEET 10 OF 64 l DATE March 3, 2003 l FX JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrin CLIENT PG&E-DCPP ORIGIP ENERCON REVIEWER K. L. Whitmore APPRO SERVICES, INC. CALCULATION NO. PGE-009-CALC-006 ikage and Thermal Stresses qATOR S. C. Tumminelli VED R. F. Evers REVISION I 1 Table 2 (2/2) - Pad Temperatures Above Ambient (Degrees F) vs. Time Elevation' 3 Depth2' 3 Time (days) 2.375 3.125 4.125 6.125 7.875 8 0.0 1.00 0.50 0.20 0.20 0.20 7.5 0.5 10.21 8.08 6.05 4.67 3.98 7 1.0 17.63 14.56 11.42 8.81 7.48 6.5 1.5 29.53 25.63 21.14 16.38 13.87 6 2.0 41.43 36.69 30.85 23.94 20.25 5 3.0 69.51 63.91 55.57 43.79 37.21 4 4.0 83.84 79.64 71.29 57.64 49.52 3 5.0 87.13 84.41 77.30 64.53 56.43 2 6.0 81.58 79.73 74.40 64.58 57.83 1 7.0 67.97 67.31 64.40 58.80 54.24 0.5 7.5 57.68 58.32 57.13 53.77 50.39 0.0 8.0 47.38 49.32 49.86 48.74 46.54 -0.5 8.5 37.05 40.15 42.13 42.79 41.56 -1 9.0 26.71 30.97 34.40 36.83 36.58 -2 10.0 12.55 16.94 21.12 25.18 26.03 -3 11.0 4.76 7.76 10.95 14.47 15.48 -4 12.0 1.12 2.15 3.33 4.70 5.13

1. Elevation 0 is the pad/rock interface. Thus, temperatures for elevations below 0 are for the rock.

These temperatures were input to the analyses along with a conservatively chosen value for the coefficient of thermal expansion for the rock, i.e., a low value.

2. Depth is the depth below the top surface of the pad.
3. The data in Reference 2 is presented in two ways. The first is in Table 3 where the elevation is referred to as "Depth,ft". This correlates to the Elevation column here. The second is in Figures 5, 6 and 7, where the data is presented in "ft from Top Surface". This is the Depth column here.

J' "-1 -` o f-1 zI ENERCON SERVICES, INC. SHEET 11 OF 64 l DATE March 3, 2003 I JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concr, CLIENT PG&E-DCPP REVIEWER K. L. Whitmore CALCULATION NO. PGE-009-CALC-006 ete Shrinkage and Thermal Stresses ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers REVISION I Shrinkage Data Shrinkage data is provided in the form of microstrain through the pad thickness, see Reference 2 Sheet

52. Rather than revise various analytical input mechanisms, the shrinkage strains were converted to temperatures (see Table 3) through the use of the following equivalency:

Esh = GAT where: Eh is the specified shrinkage strain a is the material coefficient of expansion = 5.18E-6 in/in/degree F AT is the temperature that produces the equivalent shrinkage strain Table 3 - Applied Equivalent Shrinkage Temperatures (Degrees F) Elevation* Equivalency Calculation Specified Equivalent Shrinkage Temperature Micro Strain (Degrees F) 8 463 -89.38 7.5 128 -24.71 7 35 -6.76 6.5 2.2 -0.42 6 -12 2.32 5 -23 4.44 4 -25 4.83 3 -25 4.83 2 -25 4.83 1 -25 4.83 0.5 -25 4.83 0.0 -25 4.83

  • Elevation 0 is the pad/rock interface

F1 ENERCON SERVICES, INC. SHEET 12 OF 64 l JOB. NO. PGE-009 DATE March 3, 2003 l PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tumminelli REVIEWER K. L. Whitmore APPROVED R. F. Evers CALCULATION NO. PGE-009-CALC-006 REVISION 1 l Concrete Properties As the concrete cures, the strength and consequently, Young's modulus, increase. PG&E provided the relationship of concrete strength with respect to time, see Reference 2, Sheet 49. The Young's moduli used in the analyses are based upon the Mix Design, which is expected to bound the values that will be produced in the structure. Table 4 provides the moduli used in the thermal stress analyses. The 90-day Mix Design strength is 5600 psi, which results in a Young's modulus of 4.265E6 psi. Following the guidance in Section 3.4.2 of Reference 3, 2/3 of this value = 2.844E6 psi is used in the shrinkage stress analysis to account for the effects of creep.

--FII ENERCON SERVICES, INC. SHEET 13 OF 64 l DATE March 3, 2003 JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrin CLIENT PG&E-DCPP ORlGIG REVIEWER K. L. Whitmore APPRO CALCULATION NO. PGE-009-CALC-006 kage and Thermal Stresses 4ATOR S. C. Tumminelli VED R. F. Evers REVISION I I Table 4 - Concrete Strength and Young's Moduli Time (days) Specified f Mix Design fi E= 57000cf. 0.25 234 262.5 0.924E6 0.50* 469 525 1.306E6 0.625 586 656 1.460E6 0.75 703 787.5 1.00 937 1050 1.125 1054 1187 1.964E6 1.625 1523 1712 2.358E6 2.00 1875 2100 2.125 1961 2200 2.674E6 2.375 2133 2393 2.788E6 3.00 2562 2870 3.125 2604 2919 3.080E6 4.125 2939 3294 3.271 E6 5.00 3232 3620 6.125 3448 3863 3.543E6 7.00 3616 4050 7.875 3699 4143 3.669E6 10.00* 3902 4370 90.00 5000 5600

  • Values for specified and mix design linear interpolation.

f from Reference 2. The other values are obtained by

ENERCON SERVICES, INC. SHEET 14 OF 64 l DATE March 3, 2003 l JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concr CLIENT PG&E-DCPP REVIEWER K. L. Whitmore CALCULATION NO. PGE-009-CALC-006 ete Shrinkage and Thermal Stresses ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers REVISION 1 I Material and Temperature Input Data Table 5 below provides the material and temperature data (function of elevation) for analysis. The Young's moduli are taken from Table 4. The delta temperatures are the differences in the temperatures (taken from Table 2) computed from time j-I to j. Table 5 (1/2) - Analysis Parameters, and Applied Delta Temperatures (F) Vs Elevation Time (days) Elevation 0.25 0.50 0.625 1.125 1.625 2.125 Ex c 0.924E6 1.306E6 1.460E6 1.964E6 2.358E6 2.674E6 Mat No. 2 3 4 5 6 7 Load Step-* 1 2 3 4 5 6 8 15.00 -2.50 -3.00 -5.40 -2.10 -0.80 7.5 18.00 10.50 -1.35 -7.44 -5.50 -3.06 7 19.67 9.25 9.32 -8.81 -6.46 -4.06 6.5 21.33 8.00 -13.46 -3.10 -4.73 -3.96 6 21.33 16.67 9.33 2.62 -3.00 -3.87 5 21.33 25.33 9.33 15.00 2.25 -2.22 4 21.33 25.33 9.33 20.11 7.32 0.96 3 21.33 25.33 9.33 20.32 8.45 2.29 2 21.33 25.12 9.33 17.86 6.32 1.53 1 20.50 21.41 9.33 11.88 3.74 0.91 0.5 19.66 17.92 2.04 11.11 4.45 1.87 0.0 10.67 12:66 4.67 10.33 5.16 2.83 -0.5 1.67 7.41 7.30 9.55 5.88 3.78 -1 0.84 3.91 0 8.78 6.60 4.72 -2 0 0.21 0 2.81 3.98 3.82 -3 0 0 0 0.35 1.38 1.98 -4 0 0 0 0.01 0.25 0.53

SHEET 15 OF 64 l DATE March 3, 2003 ENERCON SERVICES, INC. JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concr CLIENT PG&E-DCPP REVIEWER K. L. Whitmore CALCULATION NO. PGE-009-CALC-006 ete Shrinkage and Thermal Stresses ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers REVISION I Table 5 (212) - Analysis Parameters, and Applied Delta Temperatures (F) Vs Elevation I Day Elevation lDyI E 2375 3.125 T 4.125 6.125 j 7.875 Ex j 2.788E6 3.080E6 _{3.271E6 3.543E6{ _3.669E6 Mat. No.4+ 8 9 10 1 1 12 Load Stepj 7 8 9 10 11 8 -0.20 -0.50 -0.30 0 0 7.5 -0.94 -2.13 -2.03 -1.38 -0.69 7 -1.28 -3.07 -3.14 -2.61 -I.33 6.5 -1.47 -3.90 -4.49 -4.76 -2.51 6 -1.65 -4.74 -5.84 -6.91 -3.69 5 -1.51 -5.60 -8.34 -11.78 -6.58 4 -0.54 -4.20 -8.35 -13.65 --8.12 3 0.08 -2.72 -7.11 -12.77 -8.10 2 0.09 -1.85 -5.33 -9.82 -6.75 1 0.20 -0.66 -2.91 -5.60 -4.56 0.5 0.63 0.64 -1.19 -3.36 -3.38 0.0 1.06 1.94 0.54 -1.12 -2.20 -0.5 1.46 3.10 1.98 0.66 -1.23 -1 1.86 4.26 3.43 2.43 -0.25 -2 1.73 4.39 4.18 4.06 0.85 -3 1.05 3.00 3.19 3.52 1.01 -4 0.33 1.03 1.18 1.37 0.43 The coefficient of thermal expansion is 5.18E-6 in/in/degree F, (Reference 2, ratio is 0.15. Sheet 50). The Poisson's

SHEET 16 OF 64 F JOB. NO. PGE-009 DATE March3, 2003 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tumminelli ENERCON REVIEWER K. L. Whitmore APPROVED R. F. Evers SERVICES, INC. CALCULATION NO. PGE-009-CALC-006 REVISION 1 Thermal Stress Analysis Considerations Regardless of the actual temperature distribution in the pad, since the pad sits on a rock base, that base will restrain the pad from free axial growth. As shown in Figure 1, the restraining force will produce a negative moment (tension on the top) in the pad. This will tend to lift the pad from the rock thereby altering the uniform dead weight reaction force that would otherwise occur. (The reaction distribution shown in the Figure is one of many that could exist.) This in turn will produce positive moment in the pad, relieving the stresses caused by the restraint of the rock. Creep, particularly in the first few days after casting, will allow the pad to "settle" down on to the rock thereby reducing the positive moment. Creep will also relieve the applied temperature stresses at the same time. Hence, from an energy perspective on the pad, with the temperatures and dead weight acting at the same time, the effects of creep will be to reduce the net stresses. Deformed Shape / Original Shape Restraining Force r \\ ! n tDead Weight Uniform Reaction No Thermal Loads Reaction After Thermal Deflection ThJ Figure 1 - Dead Weight Reaction Distribution vs. Thermal Displacement Thus the dead weight can be included in the calculation of the total stress. Both analysis models include contact compression only gap elements between the top of the rock and the bottom of the pad. The models rely upon a net vertical downward load to maintain numerical stability during the solution process. The analyses for the thermal case use eleven separate time steps (see discussion below) with incremental temperatures applied to the model with eleven different values for Young's modulus to model the effects of the concrete hardening with time. The constrained model analysis used 90% of the dead weight of the concrete (90% of 150 pcf) in the first time step and 0.9% of the dead weight in each of the subsequent ten steps. The unconstrained model analysis used 72% of the dead weight of the concrete in the first time step, 18% in the second, and 0.9% of the dead weight in each of the subsequent nine steps. The displacements are then monitored for the summed steps to ensure that the pad is always

ENERCON SERVICES, INC. SHEET 17 OF 64 l JOB. NO. PGE-009 DATE March 3, 2003 l PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tumminelli REVIEWER K. L. Whitmore APPROVED R. F. Evers CALCULATION NO. PGE-009-CALC-006 REVISION I separated from the rock at the centerline of the pad, thereby maintaining the full effects of the deadweight moments in the analysis. It is recognized that summing individual nonlinear analytical results is not, in the strictest sense, theoretically correct. However, given that the bulk of the dead weight is included in the first load step, l and that the subsequent load steps are for essentially temperature loads only, the additional forces and moments added to this first load step are conservatively computed. This is because the compliance of a stiffer (harder) concrete pad with the rock would have the pad migrating the CG of the dead weight reaction forces toward the edges of the pad, generating more offsetting deadweight moment than is computed here (creep ignored) for the constrained model. Thus, though the specific sums of displacements and moments etc. may not be exactly theoretically correct as in an analysis that could actually invoke a creep law, if one were known, the results here, are conservative. The unconstrained model results in the pad curling upward at the corners. Thus the dead weight produces a vertical down deflection at the corners which results in moments that simply add to moments generating tension stress on the top of the pad. Shrinka2e Stress Analysis Considerations Shrinkage of the pad is significant for the top one foot of concrete. This shrinkage causes tensile stresses to occur on the top surface. These stresses will curl the corners of the pad and cause the pad to lift off the rock at the corners. The pad dead weight tries to keep the pad corners down on the rock causing additional tensile stresses on the pad top surface.

SHEET 18 OF 64 JOB. NO. PGE-009 DATE March 3,2003 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tumminelli ENERCON REVIEWER K. L. Whitmore APPROVED R. F. Evers SERVICES, INC. CALCULATION NO. PGE-009-CALC-006 REVISION I Pad ANSYS Static Model Construction Description Since all loads are symmetric and since the pad is symmetric, only 1/4 of the pad and confining rock is modeled. The constrained model is a solid finite element model designed to maximize the confinement that the rock has on the pad. This technique reasonably maximizes the rock's resistance to the pad's shrinkage and expansion, and therefore provides conservative results. The rock is modeled up to the level of the pad surface, and for a sufficient distance in all directions to accurately capture the behavior of the pad. The unconstrained model utilizes only the vertical stiffness of the rock. The constrained and unconstrained models differ only in that in the constrained model the bottom of the pad is "stitched" in both horizontal directions to the top of the rock. In the unconstrained model the stitching is absent. As in the seismic calculation, rotations of the nodes are not included in the solution. Also, as in the seismic calculation, the model is constructed in the Cartesian coordinate system with X pointing West, Y pointing up and Z pointing North. The analyses for temperature are incremental wherein the temperature through the thickness and Young's modulus are varied with time, in eleven time steps, to model the heat up as well as the effects of strength gain, i.e., gain in Young's modulus, of the concrete. The analysis for shrinkage is performed in one step where both the equivalent shrinkage temperatures and the dead weight of the pad are applied. Since this model contains contact elements, these analyses are nonlinear and iterative. The geometry of the pad and rock is shown in Figure 2. The completed model with the finite element mesh is shown in Figure 3. All plots presented are taken from the same viewpoint as that shown in Figures 2 and 3. The viewing direction is X = -1, Y = 0.5, and Z = -1, i.e., looking slightly down and from the pad centerline toward the far corner. Occasionally, the viewing direction will be changed to show pertinent detail. Unless the change in view direction is obvious, it will be noted.

SHEET 19 OF 64 l DATE March 3, 2003 l .. F, I ".. E;I ENERCON SERVICES, INC. JOB. NO. PROJECT PGE-009 DCPP ISFSI SUBJECT ISFSI ( CLIENT PG&E-REVIEWER K L. V CALCULATION NO. 'ask Storage Pad Concrete Shrinkage and Thermal Stresses -DCPP lhitmore ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers REVISION 1 PGE-009-CALC-006 ELEM!ENTS NAT NTUN d a n _a hra n hinaeAayi oe AN JAN 24 2002 11:27:21 Figure 2 - Basic Pad/Rock Geometry ELEME;NTS MAT NUM _Ap _a hra n hikg nlssme AN JAN 24 2002 11:27:58 Figure 3 - Finite Element Mesh coI

SHEET 20 OF 64 DATE March 3,2003 ENERCON SERVICES, INC. JOB. NO. PROJECT PGE-009 DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concr CLIENT PG&E-DCPP REVIEWER K. L. Whitmore CALCULATION NO. PGE-009-CALC-006 ete Shrinkage and Thermal Stresses ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers REVISION 1 Concrete Pad The concrete pad is modeled with Element Type 2. Element Type 2 is the ANSYS SOLID45 8-noded brick structural sold element. All features invoked in the seismic analysis are invoked here. The material properties are varied with time in that they are modified at each of the eleven load steps. The pad is modeled 8 feet thick with the thickness of the elements modeled to match the locations where the temperatures are provided. Hence the 8-foot pad is segmented into element layers with the elevations shown in Table 5. In plan, the mesh is designed to match the 17 foot segments and the 10 foot end segments modeled in the seismic calculation. The pad geometry is shown in Figure 4 below. ETEMENTS MPLT NUM X 2 Pad Thermal and Shrinkage Analysis Model AN JAN 24 2002 11:2S:31 Figure 4 - Pad Mesh Cot

SHEET 21 OF 64 DATE March 3,2003 JOB. NO. PROJECT SUBJECT PGE-009 DCPP ISFSI ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses ENERCON SERVICES, INC. CLIENT PG&E-REVIEWER K. L. V CALCULATION NO. -DCPP ORIGINATOR APPROVED Vhitmore R. F. Evers S. C. Tumminelli PGE-009-CALC-006 REVISION ii1 Rock The rock is modeled with Element Type 1. Element Type 1 is the ANSYS SOLID45 8-noded brick structural solid element. All features invoked in the seismic analysis are invoked here. The rock mass is modeled to 81 feet 4 inches in the X direction, 124 feet 6 inches in the Z direction and 62 feet beneath the pad. Further, a 2-foot gap is provided around the pad to allow for some consideration for construction access. This gap is considered to be a minimum distance that will be required to install the pad. Larger gaps will provide less restraint and hence lower stresses for the constrained model. The element mesh is designed to mate with the pad, and to provide constraint on the boundaries of the pad model. The rock portion of the model is shown in Figure 5 below. A close up of the two-foot gap is provided in Figure 6. AN JAN 24 2002 MkT NUt 11:29:34 Pad Thermal and Shrinkage Analypis Model Figure 5-Rock Mesh

SHEET 22 OF 64 DATE March 3,2003 JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tumminelli REVIEWER K. L. Whitmore APPROVED R. F. Evers CALCULATION NO. PGE-009-CALC-006 REVISION 1 ENERCON SERVICES, INC. Figure 6 - Close Up of the Two-Foot Gap The rock is designated as Material Type 1; is assumed to be homogeneous and its properties are not varied with time. The hard rock as described in the seismic report is used for this analysis. This is the stiffest rock that is reasonably expected to exist beneath the pad to an extent that it could affect the thermal response. The stiffest rock is the only rock that needs to be considered since it provides the greatest restraint to the pad. The pad stresses analyzed with the soft rock will be lower than those analyzed with the hard rock. The unconstrained model analysis bounds this condition. The PG&E temperature calculation provides some modest heat up of the rock directly beneath the pad. A literature search on the Internet provided some values for the coefficients of thermal expansion. The lower bound of these values is the conservative value to use, since this results in the lowest rock thermal expansion, and hence the greatest restraint to the pad. A coefficient of thermal expansion of 5E-6 in/in/degree F is specified for the sandstone (soft rock), taken from the Stone University at www.coldspringgranite.com, and 8.3x10-6 in/in/degree F ( = l5x10-6 in/in/degree K/1.8) is used for the dolomite (hard rock), taken from www.ima-eu.org. Combining properties to arrive at a conservative set to use for analysis, the following values were used for the hard rock (see Table 6). Since the coefficient of thermal expansion of the concrete "mud" mat will be higher than 5.0x10-6, the value in Table 6 is conservative, regardless of the final thickness of the "mud" mat since the lower bound is the conservative value to use. Also, since the "mud" mat will be relatively thin and unreinforced, adjusting the Young's Modulus is not justifiable. I

ENERCON SERVICES, INC. JOB. NO. PROJECT PGE-009 DCPP ISFSI SHEET 23 OF3, 64 DATE March 3,2003 SUBJECT ISFSI Cask Storage Pad Concr CLIENT PG&E-DCPP REVIEWER K. L. Whitmore CALCULATION NO. PGE-009-CALC-006 ete Shrinkage and Thermal Stresses ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers REVISION 1 Table 6 - Rock Properties Used for Analysis Rock Young's Modulus Poisson's Ratio Coefficient of Thermal Expansion Dolomite - Hard 2.0x106 0.24 5.0x10-6 Constraint Equations - Constrained Model Only The pad model is generated completely separate from the rock model. The pad and rock models have coincident nodes at the bottom of the pad and at the top of the rock beneath the pad. In the constrained model these nodes are then stitched together in a manner that allows the pad to push/pull horizontally on the rock mass but does not allow the resulting curvature to affect the vertical stresses between the pad and the rock. These constraint equations act in combination with the contact elements described below. These constraint equations are absent in the unconstrained model. Since the nodes are coincident, stitching them together simply produces continuity without any internal moments to consider. Thus, interior to the pad, all the nodes at the bottom of the pad and the top of the rock are stitched in the X and Z directions. Along the edge in the XY plane of symmetry, all nodes are stitched in the X direction, and along the edge in the YZ plane of symmetry, all nodes are stitched in the Z direction. See Figures 7, 8 and 9. ELEMENTS AN JAN 24 2002 MAT NUN _11:32:24 X4) Pad Thermal and Shrinkage Analysis Model Figure 7-Pad/Rock Constraints COD

SHEET 24 OF 64 DATE March 3, 2003 I. V ENERCON SERVICES, INC. JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Coner CLIENT PG&E-DCPP REVIEWER K. L. Whitmore CALCULATION NO. PGE-009-CALC-006 ete Shrinkage and Thermal Stresses ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers REVISION 1 Figure 8 - Close Up of Pad/Rock Constraints on the Rock ELEMEN'TS MAT NUM P L a Pad Thermal and Shrinkage Analysis Model AN JAN 24 2002 11:33:56 Figure 9 - Pad/Rock Constraints on the Pad - Looking Up Co (I

SHEET 25 OF 64 DATE March 3,2003 JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrir CLIENT PG&E-DCPP ORIGIP REVIEWER K. L. Whitmore APPRO CALCULATION NO. PGE-009-CALC-006 ikage and Thermal Stresses ENERCON SERVICES, INC. qATOR S. C. Tumminelli VED R. F. Evers REVISION 1 Contact Elements Both analysis models have a set of contact elements between the bottom of the pad and the top of the rock. The ANSYS contact elements are described in some detail in Reference 1. In this analysis, the CONTA174 is used on the bottom of the pad and the TARGE170 is used on the top of the rock. Since both surfaces have the same mesh refinement and have the same stiffness, the use of these elements on these surfaces is appropriate. See Figure 10. AN hAN 24 2002 11:49:27 XI 2 shrinkage Model Contact Elements Figure 10 - Pad/Rock Contact Elements Material Numbers The completed model with the material numbers is shown in Figure 11. The concrete pad material numbers are varied throughout the analysis. Material number 2 is the initial material number for the pad.

SHEET 26 OF 64 JOB. NO. PGE-009 DATE March 3,2003 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tumminelli REVIEWER K. L. Whitmore APPROVED R. F. Evers CALCULATION NO. PGE-009-CALC-006 REVISION 1 ENERCON SERVICES, INC. Figure 11 - Material Numbers Boundary Conditions The boundary conditions are as follows: XY plane - Symmetrical BC's on the pad and the rock YZ plane - Symmetrical BC's on the pad and the rock X edge of the rock mass at X = 81'- 4" - X and Y displacements set to zero Z edge of the rock mass at Z = 124' - 6" - Y and Z displacement set to zero Bottom of the rock mass - X, Y and Z displacement set to zero These Boundary Conditions are conservative in that they prescribe zero displacements and therefore provide maximum reasonable constraint to the pad. Plots of the Boundary Conditions are shown in Figures 12 and 13 below.

SHEET 27 OF 64 DATE March 3,2003 ENERCON SERVICES, INC. JOB. NO. PROJECT SUBJECT PGE-009 DCPP ISFSI ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP REVIEWER K. L. Whitmore CALCULATION NO. PGE-009-CALC-006 ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers REVISION 1 ELEMENTS MAT NUM DELTA T 0.0 TO 0.25 DAYS AN JAN 24 2002 11:41:04 Figure 12 - Boundary Conditions - Looking Down ELEMENTS MAiT NUM 'Xi DET.0 O .2 DY AN JAN 24 2002 11:45:52 Figure 13 - Boundary Conditions C q It

SHEET 28 OF 64 i JOB. NO. PGE-009 DATE March 3,2003 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tumminelli ENERCON REVIEWER K. L. Whitmore APPROVED R. F. Evers SERVICES, INC. CALCULATION NO. PG__-009-CALC-006 REVISION 1_ l Loads and Analysis The thermal stress analyses are conducted using eleven Load Steps. The delta temperatures shown in Table 5 are applied and the pad material properties are specified for each Load Step. In Load Step I, for the constrained model, 90% of the pad dead weight is applied, and 0.9% of the pad dead weight is applied in each of the ten subsequent Load Steps to maintain numerical stability. (Concrete density was set to 135 pcf (90% of 150) and the vertical acceleration for the first load step set to 1.0G, and 0.01G for each of the ten subsequent load steps.) [The unconstrained model used 72% in Load Step 1, 18% in Load Step 2 and 0.9% in each of the nine subsequent Load Steps.] The results, from each Load Step analysis, are a complete set of pad/rock responses, i.e., reactions, displacements, stresses etc. The results for each time are the algebraic sum of the individual responses to that time. These are summed and stored as Load Cases. As an example, the pad response for the constrained model at 2.125 days is Load Case 6 and it is the sum of Load Steps 1 through 6. As a check, the delta temperatures and summed temperatures are output to provide a means to check the input data back to the source. The ANSYS output files that document the generation of the loads for each load step are provided in Appendices TH-Loads and THNC-Loads. Plots of the summed applied temperatures are provided in Appendix TPad-TH and are applicable to both thermal models. One plot from the Appendix for Load Case 7 is shown in Figure 14. The ANSYS output files that document the analyses together with the output delta temperatures and summed temperatures are provided in Appendices RPad-TH and RPadNC-TH. A comparison of the output temperatures with the temperatures in Tables 2 and 5 show them to be the same for both models. Each summed Load Case is then checked for equilibrium. The output files that document this check for equilibrium are provided in Appendices EPad-TH and EPadNC-TH. This data demonstrates that the overall equilibrium for the rock and the pad is satisfied. The shrinkage stress analysis is conducted in one load step. The equivalent shrinkage temperatures from Table 3 are applied along with the acceleration due to gravity. The concrete density was set to the full 150 pcf and the vertical acceleration to 1.0G. The ANSYS output file that documents the generation of the loads is provided in Appendix SH-Loads. The ANSYS output file that documents the analysis together with the output equivalent temperatures is provided in Appendix RPad-SH. A comparison of the output temperatures with the temperatures in Table 3 shows them to be the same. The analysis is then checked for equilibrium. The output file that documents this check for equilibrium is provided in Appendix EPad-SH. This data demonstrates that the overall equilibrium for the rock and the pad is satisfied. The quarter model of the pad weighs (52.5x34x8xl 50) = 2,142,000 lbs.

SHEET 29 OF 64 DATE March 3,2003 1,. -. Wm JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shriin CLIENT PG&E-DCPP ORIGIP REVIEWER K. L. Whitmore APPRO CALCULATION NO. PGE-009-CALC-006 kage and Thermal Stresses 4ATOR S. C. Tummninelli VED R F. Evers REVISION 1 ENERCON SERVICES, INC. Constrained Model - Analysis Results - Thermal Stress Analysis Since Load Case 7, Pad Response at 2.375 days, results in the highest set of applied moments (see Table 9 below), plots for this Load Case will be used to show response. The other Load Cases all have the same general response shape. The difference is in the magnitude. A plot of the applied summed temperatures is shown in Figure 14. Plots for all Load Cases are in Appendix TPad-TH and the numerical results are in Appendix RPad-TH. NODAL SOLUTION STEKP-7 SUB -1 BFEEMP (AVG) RSYSto na -. 635511 SHW -1 SNIX 8e7.13 AN JUL 1 2002 07:53:03 djjjjjanj~ jjjj I z I PA I I_ I, 1 20.14 10.57 29.71 PAD RESPONSE AT END OF 2.375 DAYS 39.28 48.85 58.42 67.99 77.56 87.13 Figure 14 - Applied Temperatures at 2.375 days C~ \\D

SHEET 30 OF 64 JOB. NO. PGE-009 DATE March 3,2003l PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tumminelli ENERCON REVIEWER K. L. Whitmore APPROVED R. F. Evers SERVICES, INC. CALCULATION NO. PGE-009-CALC-006 REVISION 1 Constrained Model - Pad Response - Displacements The displacements for the individual Load Steps are shown in Appendix LSPad-TH. There are three different displaced shapes. The first is shown in Figures LS-1 and LS-lA. The deadweight in this analysis is not enough to overcome the arching action caused by the restraining forces due to net thermal expansion of the pad (see Figure LS-1). However, enough deadweight is acting to force the pad down on to the rock at its edges, Figure LS-IA. And, the deadweight does affect the displaced shape. The maximum up deflection is not at the centerline of the pad. The second shape is shown in Figures LS-2 through LS-4. In these analyses, the restraining forces cause arching action, as in LS-1, but since the deadweight is very small, the pad arches up in two directions and is only supported at its corners, Figure LS-2A. The third shape is shown in Figures LS-5 to LS-1 1. In these analyses, the net thermal expansion is not enough to develop restraining forces of sufficient magnitude to overcome the applied temperature upward curvatures. In these cases, the deadweight stresses add to the applied net thermal stresses, i.e., tension on the pad top, but since the deadweight is small its effect is also small. The summed displacements of the pad for all the Load Cases are plotted in Appendix LCPad-TH to give some sense of expected deformations. The summed displacements at the pad centerline are computed in Appendix DPad-TH. To compare them to acceptable deflections, see Table 7. However, since the analysis is piecewise and sums separate nonlinear analyses, the summed displacements are not analytically exact. However, they do provide a reasonable sense of the pad's total deformation. Table 7 provides displacements for the bottom of the pad (node 113) and the top of the rock (node 133) both at the centerline of the pad. Plots of the pad vertical displacements for Load Cases 1, 2 and 7 are shown in Figures 15, 16 and 17. The displaced shape for Load Case 1, Figure 15, shows that the dead weight is not enough to force the pad down to the rock at its centerline. However, it does alter the arching action shape. The shape for Load Case 2, Figure 16, shows that the influence of the dead weight is reduced and the arching action dominates the response. In Load Case 7, Figure 7, arching action still dominates even though three Load Steps (5 to 7) were added. In each of these three Load Steps, as discussed before, the restraining forces are not enough to force arching action. However, the magnitudes of the forces involved are not enough to alter the arching action established by the summation of Load Steps 1 through 4. The pad appears to "float" owing to the addition of the vertical displacements at the pad edges from Load Steps 5 through 11.

SHEET 31 OF 64 l DATE March 3,2003 l JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI ( CLIENT PG&E-REVIEWER K. L. V CALCULATION NO. -ask Storage Pad Concrete Shrinkage and Thermal Stresses -DCPP ORIGINATOR APPROVED S. C. Tumminelli ENERCON SERVICES, INC. Vhitmore R. F. Evers PGE-009-CALC-006 REVISION 1 I Table 7 - Analytical Deflections (inches) Vs Time Time (days) j Load Case Pad Bot y 11 3 lRock Top 8Y 133 0.25 1 0.824E-2 0.222E-2 0.50 2 0.348 0.425E-2 0.625 3 0.499 0.516E-2 1.125 4 0.596 0.824E-2 1.625 5 0.598 0.104E-1 2.125 6 0.600 0.116E-1 2.375 7 0.600 0.121 E-1 3.125 8 0.601 0.132E-1 4.125 9 0.602 0.138E-1 6.125 10 0.602 0.138E-1 7.875 11 0.601 0.128E-1 The single largest effect not included in the analyses is the effect of creep. Creep will reduce all the calculated deflections and stresses. Hence the expected deformations in the field are much less than these calculated values. Nevertheless, an often used value for deflections due to dead weight is 1/320 = 105x12/320 = 3.9 inches. See, for example, ACI 349-97, Table 9.5(a). As the data demonstrates, even these computed deflections are not severe.

SHEET 32 OF 64 DATE March 3,2003 ENERCON SERVICES, INC. JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tumminelli REVIEWER K. L. Whitmore APPROVED R. F. Evers CALCULATION NO. PGE-009-CALC-006 REVISION 1 Figure 15 - Pad Vertical Analytical Displacements at 0.25 Days (same as Figure LC-1) l rial I Figure 16 - Pad Vertical Analytical Displacements at 0.5 Days (same as Figure LC-2) C'fl

S. I. ~... ENERCON SERVICES, INC. SHEET 33 OF 64 JOB. NO. PGE-009 DATE March 3,2003 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tumnuinelli REVIEWER K. L. Whitmore APPROVED R. F. Evers CALCULATION NO. PGE-009-CALC-006 REVISION 1 I

  • I Figure 17 - Pad Vertical Analytical Displacements at 2.375 days (same as Figure LC-7)

ENERCON SERVICES, INC. SHEET 34 OF 64 l JOB. NO. PGE-009 DATE March 3, 2003 l PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tumminelli REVIEWER K. L. Whitmore APPROVED R. F. Evers CALCULATION NO. PGE-009-CALC-006 REVISION 1 l Constrained Model - Pad Response - Stresses Pad stresses are plotted for Load Case 7 in Figures 18 and 19. The SX and SZ tensile stresses occur over nearly the entire top surface of the pad. A complete set of plots for all Load Cases is provided in Appendix STPad-TH. All the plots indicate roughly the same shape of stress field within the pad. This is a biaxial (X-Z) tension stress field at the top surface, and a maximum biaxial (X-Z) compression stress field just below the mid-height of the pad, and a biaxial compression stress field at the bottom of the pad. Pad stresses are provided in Table 8 to give a sense of the level of expected cracking. The values are the highest tensile and compressive stresses in both the X and Z directions, the maximum tensile principal stress (F MaX, and the minimum compressive principal stress 03 Min The concrete compressive and tensile strengths are derived from the Specified f, from Table 4. The ANSYS output file that documents the post processing for these stresses is provided in Appendix SPad-TH. The stresses indicate that in the absence of creep, cracking would be expected to occur. However, the data also shows that significant creep and consequent reduction of these stresses will occur. The values of a 3 m. in Load Cases 1 to 3 greatly exceed the expected f,. The a3 is plotted in Figure 20 for Load Case 3 and again in Figure 21 for Load Case 7. The extent of the stress field is very local and confined to the pad corner throughout the curing heat up. The a, is plotted in Figure 22 for Load Case 3 and Figure 23 for Load Case 7. These show that the a1 is not local and the extent of expected cracking, and therefore, required crack control reinforcement is significant.

SHEET 35 OF 64 JOB. NO. PGE-009 DATE March 3,2003 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tumminelli ENERCON REVIEWER K. L. Whitmore APPROVED R. F. Evers SERVICES, INC. CALCULATION NO. PGE-009-CALC-006 REVISION 1 Table 8 - Pad Stresses (psi) Vs Time Time Load j (TX Max (YX Min CZ Max (yz Min 0(1 Max (63 Min f ft (days) Case~ _I_ _1_ 0.25 1 36 -123 35 -117 49 -464 234 102 0.50 2 229 -242 236 -256 247 -613 469 145 0.625 3 351 -300 360 -313 371 -701 586 162 1.125 4 504 -470 511 -493 518 -909 1054 218 1.625 5 525 -568 537 -594 540 -1005 1523 261 2.125 6 488 -616 504 -644 514 -1051 1961 297 2.375 7 465 -624 482 -653 516 -1064 2133 309 3.125 8 379 -607 392 -636 478 -1072 2604 342 4.125 9 274 -526 285 -554 368 -1027 2939 363 6.125 10 130 -464 133 -498 150 -904 3448 393 7.875 1 1 75 -443 70 -470 84 -803 3699 407

7 .~ ENERCON SERVICES, INC. SHEET 36 OF 64 DATE March 3,2003 JOB. NO. PGE-0( PROJECT DCPPI SUBJECT ISFSI ( CLIENT PG&E-REVIEWER K. L. M CALCULATION NO. 09 ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses DCPP Vhitmore ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers PGE-009-CALC-006 REVISION 1 l NODAL SOLUTION 1 JUL 1 2002 STEP-7 07:53:26 Sun =1 SX (AVG) RSYS-O DMi -.635511 SHN -- 624.425 SNX -465.399 -624.425 -382.242 -140.059 102.124 344.307 -503.334 -261.151 -18.968 223.215 465.399 PAD RESFOifSE AT END OF 2.375 DAYS Figure 18 - Pad X Direction Stresses at 2.375 days NODAL SOLUTION SESP-7 SUN -1 SZ (AVG) RSYS-0 DK =-.635511 SW -- 652.833 SUIC -482.177 AN JUL, 1 2002 07:53:44 -652.833 -400.608 -148.384 103.841 -526.721 -274R.436 -22 E 27Z PAD RESP0215E AT N or 2.375 DAYS 354.065 229.953 482.177 Figure 19 - Pad Z Direction Stresses at 2.375 days C, -

ENERCON SERVICES, INC. SHEET 37 OF 64 DATE March 3,2003 JOB. NO. PROJECT SUBJECT PGE-009 DCP`P ISFSI ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP REVIEWER K. L. Whitmore CALCULATION NO. PGE-009-CALC-006 ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers REVISION 1 NODAL SOLUTION STBA3 07:39:52 SUB =1 53 (AVG) DMA '=.526861 SHY =-701.206 8HX =16.928 -701.206 -541.521 -382.035 -222.45 -62.865 -621.413 -461.828 -302.243 -142.658 16.928 PAD RESPONSE AT END OF 0.625 DAYS Figure 20 - Pad S3 Stresses - Load Case 3 - Viewing Direction is from -1,-0.5,-1 NODAL SOLUTION JUL 1 2002 STEP-7 07:55:39 SUB -1 53 (AVG) DM -. 635511 SW -- 1064_ SMX -20.005_ X'_z -943.1 -702.706 -461.802 -220.898 20.005 PAD RESPONSE AT END OF 2.375 DUYS Figure 21 - Pad S3 Stresses - Load Case 7 - Viewing Direction is from -1,-0.5,-1 CA

I.:' II I 4.EI ENERCON SERVICES, INC. SHEET 38 OF 64 DATE March 3,2003 JOB. NO. PGE-01 PROJECT DCPP] SUBJECT ISFSI ( CLIENT PG&E-REVIEWER KI L. V CALCULATION NO. 09 ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses -DCPP Vhitmore ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers REVISION II PGE-009-CALC-006 NODAL SOLUT~ION A~N JUL 1 2002 STCP=3 07:37:28 Sun =1 Si (AVr) DiM -. 526861 SZU -- 65.011 SWC =370.997 -65.011 31.88 128.77 22S.661 322.551 -16.566 80.325 177.215 274.106 370.997 PAD RESPONSE AT END OF 0.625 DAYS Figure 22 - Pad SI Stresses - Load Case 3 NODAL SOLUTrION ST1I'7 5US =1 SI (AVG) miX -. 635511 SW -147.639 S19 =515.604 AN JUL 1 2002 07.53:58 X 17C -7 JAS 6 515. 604 -147.639 -. 251616 147.136 -73.945 73.442 PAD RESPONSE AT END Or 2.375 DAYS Z"4.4j 441. 91 220.829 36e.217 5 Figure 23 - Pad SI Stresses - Load Case 7 =

SHEET 39 OF 64 l DATE March 3, 2003 l JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concr4 CLIENT PG&E-DCPP REVIEWER K. L. Whitmore CALCULATION NO. PGE-009-CALC-006 Ate Shrinkage and Thermal Stresses ENERCON SERVICES, INC. ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers REVISION 1 Constrained Model - Pad Response - Internal Forces The pad internal forces and moments will be used to size reinforcement and assess the level of expected cracking. The pad was divided into strips as discussed in Reference 1. Since the model here is only 1/4 of the model used in the seismic analysis, modeled in the +X, +Z quadrant, the centerlines of this model lie at lines 5 1/2 and C of the seismic model, see Figure 29, Reference 1. Since all the maximum stresses occur at the planes of symmetry, or nearly so, only the internal forces on lines 5 1 and C are computed. (Though the Mx symbol does not appear at the edges in all the plots in Appendix STPad-TH, the stress contour maps indicate that the stresses are very close to the maxima at the edges.) The sign convention for these forces is also discussed in Reference 1. In this analysis, lines 5 I/2 and C are the "last section" as described in Reference 1. The forces are provided in Table 9. The ANSYS output file documenting the post processing of these values is provided in Appendix FPad-TH. The values from the model are provided as well as the Design Values to be used for sizing the reinforcement. Table 9 (1/11)- Load Case 1 - Time 0.25 days Z Strips - Internal Forces (lbs. and in.-lbs.) - Line 5 '/2 Force/ Strip Design Moment Values C-D D-E Fy -18755 -22048 22048 Fz -2078832 -1982198 2078832 Mx -1793625 1003623 1793625 X Strips - Internal Forces (lbs. and in.-lbs.) - Line C Force/ Strip Design Moment Values 5 1/2 - 6 6-7 7-8 8-10 Fx -905053 -1781997 -1728982 -987290 1678393 Fy -4617 -10354 -12857 -6861 12857 Mz 109421 -502375 -2079998 -2053499 3490948

  • Application of sign convention to maintain consistency with Reference I applied.
    • Application of sign convention to maintain consistency with Reference I applied.

Normalization to a 17-foot wide strip has been performed. Values for strip 5 1/2/2 - 6 factored by 2, and values for strip 8-10 factored by 1.7.

SHEET 40 OF 64 l DATE March 3, 2003 JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISESI Cask Storage Pad Concrete Shric CLIENT PG&E-DCPP ORIGI? REVIEWER K. L. Whitmore APPRO CALCULATION NO. PGE-009-CALC-006 ikage and Thermal Stresses NATOR VED S. C. Tumminelli ENERCON SERVICES, INC. R. F. Evers REVISION 1 Table 9 (2/11) - Load Case 2 - Time 0.50 days Z Strips - Internal Forces (lbs. and in.-lbs.) - Line 5 I/2 Force/ Strip Design Moment Values C-D D-E Fy -18871 -21932 21932 Fz -3128490 -3005009 3005009 Mx 0.458E08 0.471 E08 -0.471E08 X Strips - Internal Forces (Ibs. and in.-lbs.) - Line C Force/ Strip Design. Moment Values 5 1/2 -6 6-7 7-8 8-10 Fx -1403379 -2780583 -2732894 -1557871 2732894 Fy -4698 -10515 -13007 -6470 13007 Mz -0.234E08 -0.475E08 -0.490E08 -0.284E08 0.490E08

  • Application of sign convention to maintain consistency with Reference I applied.
    • Application of sign convention to maintain consistency with Reference I applied.

Normalization to a 17-foot wide strip has been performed. Values for strip 5 l/2 - 6 factored by 2, and values for strip 8-10 factored by 1.7.

SHEET 41 OF 64 l DATE March 3, 2003 l JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrin CLIENT PG&E-DCPP ORIGIP REVIEWER K. L. Whitmore APPRO CALCULATION NO. PGE-009-CALC-006 ikage and Thermal Stresses 4ATOR VED S. C. Tumminelli R. F. Evers ENERCON SERVICES, INC. REVISION I 1 Table 9 (3111) - Load Case 3 - Time 0.625 days Z Strips - Internal Forces (lbs. and in.-lbs.) - Line 5 1/ Force/ ! Design Moment Strip Values C-D D-E Fy -18977 -21826 21826 Fz -3537558 -3405193 3405193 Mx 0.626E08 0.633E08 -0.633E08 X Strips - Internal Forces (lbs. and in.-lbs.) - Line C Force/ Strip Design Moment Values 5 i/2 -6 6-7 7-8 8-10 @,~~-........ Fx -1587648 -3151194 -3109534 -1773660 3109534 Fy -4785 -10678 -13119 -6107 13119 Mz -0.318E08 -0.643E08 -0.657E08 -0.377E08 0.657E08

  • Application of sign convention to maintain consistency with Reference 1 applied.
    • Application of sign convention to maintain consistency with Reference 1 applied.

Normalization to a 17-foot wide strip has been performed. Values for strip 5 /2 - 6 factored by 2, and values for strip 8-10 factored by 1.7.

F.I ENERCON SERVICES, INC. SHEET 42 OF 64 l DATE March 3, 2003 l JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shriin CLIENT PG&E-DCPP ORIGIP REVIEWER K. L. Whitmore APPRO CALCULATION NO. PGE-009-CALC-006 ikage and Thermal Stresses qATOR 'VED S. C. Tumminelli R. F. Evers REVISION 1 l Table 9 (4/11) - Load Case 4 - Time 1.125 days Z Strips - Internal Forces (lbs. and in.-lbs.) - Line 5 1/2 Force/ Design Moment Strip Values C-D D-E Fy -19111 -21692 21692 Fz -4816988 -4648875 4816988 Mx 0.121E09 0.120E09 -0.121E09 X Strips - Internal Forces (lbs. and in.-lbs.) - Line C Force/ Strip Design Moment Values** 5/2-6 6-7 7-8 8-10 Fx -2189505 -4356669 -4319608 -2460584 4319608 Fy -4856 -10832 -13319 -5682 13319 Mz -0.602E08 -0.121 E09 -0.123E09 -0.700E08 0.123E09

  • Application of sign convention to maintain consistency with Reference 1 applied.
    • Application of sign convention to maintain consistency with Reference I applied.

Normalization to a 17-foot wide strip has been performed. Values for strip 5 2 - 6 factored by 2, and values for strip 8-10 factored by 1.7.

SHEET 43 OF 64 l DATE March 3, 2003 l JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrin CLIENT PG&E-DCPP ORIGI? REVIEWER K. L. Whitmore APPRO CALCULATION NO. PGE-009-CALC-006 ikage and Thermal Stresses NATOR 1VED S. C. Tumminelli ENERCON SERVICES, INC. R. F. Evers REVISION 1 I Table 9 (5/1 1) - Load Case 5 - Time 1.625 days Z Strips - Internal Forces (Ibs. and in.-lbs.) - Line 5 1/2 Force/ Strip Design Moment Values* C-D D-E Fy -19734 -22181 22181 Fz -5390017 -5205515 5390017 Mx 0.151E09 0.148E09 -0.151 E09 X Strips - Internal Forces (lbs. and in.-lbs.) - Line C Force! Strip l Design M o m e n t V a lu e s 5 1/2 - 6 6-7 7-8 8-10 Fx -2463210 -4907754 -4877105 -2777689 4877105 Fy -7702 -15932 -14180 -5871 15932 Mz -0.743E08 -0.149E09 -0.150E09 -0.852E08 0.150E09

  • Application of sign convention to maintain consistency with Reference I applied.
    • Application of sign convention to maintain consistency with Reference 1 applied.

Normalization to a 17-foot wide strip has been performed. Values for strip 5 A/2 - 6 factored by 2, and values for strip 8-10 factored by 1.7.

SHEET 44 OF 64 l DATE March 3, 2003 l JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shriin CLIENT PG&E-DCPP ORIGIP REVIEWER K. L. Whitmore APPRO CALCULATION NO. PGE-009-CALC-006 ikage and Thermal Stresses 4ATOR VED S. C. Tumminelli R. F. Evers ENERCON SERVICES, INC. REVISION 1 l Table 9 (6111) - Load Case 6 - Time 2.125 days Z Strips - Internal Forces (lbs. and in.-lbs.) - Line 5 I/2 Force/ Strip Design Moment Values C-D D-E Fy -24522 -22924 24522 Fz -5574946 -5388926 5574946 Mx 0.163E09 0.159E09 -0.163E09 X Strips - Internal Forces (lbs. and in.-lbs.) - Line C Force! Strip Design Moment Values" 5 1/2 - 6 6-7 7-8 8-10 Fx -2552628 -5092094 -5070757 -2889199 5070757 Fy -13915 -17643 -14699 -6068 27830 Mz -0.800E08 -0.159E09 -0.160E09 -0.907E08 0.160E09

  • Application of sign convention to maintain consistency with Reference 1 applied.
    • Application of sign convention to maintain consistency with Reference 1 applied.

Normalization to a 17-foot wide strip has been performed. Values for strip 5 1/2 - 6 factored by 2, and values for strip 8-10 factored by 1.7.

SHEET 45 OF 64 l DATE March 3, 2003 JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrin CLIENT PG&E-DCPP ORIGIr REVIEWER K. L. Whitmore APPRO CALCULATION NO. PGE-009-CALC-006 tkage and Thermal Stresses qATOR VED S. C. Tumminelli ENERCON SERVICES, INC. R. F. Evers REVISION I Table 9 (7/11) - Load Case 7 - Time 2.375 days Z Strips - Internal Forces (lbs. and in.-lbs.) - Line 5 I/2 Force/ Design Moment trip Values* C-D D-E Fy -28239 -23677 28239 Fz -5581821 -5399212 5581821 Mx 0.166E09 0.162E09 -0.166E09 X Strips - Internal Forces (lbs. And in.-lbs.) - Line C Force/ Strip Design Moment Values 5 '/2 -6 6-7 7-8 8-10 Fx -2559557 -5110869 -5098245 -2906518 5119114 Fy -17982 -19557 -15196 -6280 35964 Mz -0.816E08 -0.162E09 -0.162E09 -0.918E08 0.163E09

  • Application of sign convention to maintain consistency with Reference 1 applied.
    • Application of sign convention to maintain consistency with Reference I applied.

Normalization to a 17-foot wide strip has been performed. Values for strip 5 V2 - 6 factored by 2, and values for strip 8-10 factored by 1.7.

SHEET 46 OF 64 l DATE March 3, 2003 l JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shriin CLIENT PG&E-DCPP ORIGIP REVIEWER K. L. Whitmore APPRO CALCULATION NO. PGE-009-CALC-006 ikage and Thermal Stresses 4ATOR VED S. C. Tumminelli R. F. Evers ENERCON SERVICES, INC. REVISION 1 1 Table 9 (8/11) - Load Case 8 - Time 3.125 days Z Strips - Internal Forces (lbs. and in.-lbs.) - Line 5 I/2 Force/ Design Moment Strip Values* C-D D-E Fy -35575 -24446 35575 Fz -5456216 -5281066 5456216 Mx 0.164E09 0.158E09 -0.164E09 X Strips - Internal Forces (lbs. and in.-lbs.) - Line C Force/ Strip Design Moment Values 5 '/2 - 6 6-7 7-8 8-10 Fx -2498078 -4993234 -4990939 -2847986 4996156 Fy -24934 -21118 -15672 -6504 49868 Mz -0.801E08 -0.157E09 -0.157E09 -0.892E08 0.160E09

  • Application of sign convention to maintain consistency with Reference 1 applied.
    • Application of sign convention to maintain consistency with Reference 1 applied.

Normalization to a 17-foot wide strip has been performed. Values for strip 5 1/2 - 6 factored by 2, and values for strip 8-10 factored by 1.7.

SHEET 47 OF 64 l DATE March 3, 2003 l JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrin CLIENT PG&E-DCPP ORIGI1P REVIEWER K. L. Whitmore APPRO CALCULATION NO. PGE-009-CALC-006 nkage and Thermal Stresses 4ATOR VED S. C. Tumminelli ENERCON SERVICES, INC. R. F. Evers REVISION 1 l Table 9 (9/11) - Load Case 9 - Time 4.125 days Z Strips - Internal Forces (lbs. and in.-lbs.) - Line 5 V/2 Force/ Strip Design Moment Values* C-D D-E Fy -44128 -25231 44128 Fz -4973948 -4816150 4973948 Mx 0.144E09 0.138E09 -0.144E09 X Strips - Internal Forces (lbs. and in.-lbs.) - Line C Force/ Strip f Design Moment Values 5 1/2 - 6 6-7 7-8 8-10 [ Fx -2266808 -4535864 -4544699 -2597018 4533616 Fy -32975 -22679 -16103 -6759 65950 Mz -0.705E08 -0.137E09 -0.136E09 -0.773E08 0.141E09

  • Application of sign convention to maintain consistency with Reference 1 applied.
    • Application of sign convention to maintain consistency with Reference I applied.

Normnalization to a 17-foot wide strip has been performed. Values for strip 5 1/2 - 6 factored by 2, and values for strip 8-10 factored by 1.7.

SHEET 48 OF 64 l DATE March 3, 2003 JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrir CLIENT PG&E-DCPP ORIGI? REVIEWER K. L. Whitmore APPRO CALCULATION NO. PGE-009-CALC-006 tkage and Thermal Stresses 4ATOR VED S. C. Tumminelli ENERCON SERVICES, INC. R. F. Evers REVISION 1 l Table 9 (10/11) - Load Case 10 - Time 6.125 days Z Strips - Internal Forces (lbs. and in.-lbs.) - Line 5 1/2 Force/ Design Moment Strip Values* C-D D-E Fy -54025 -26040 54025 Fz -3967223 -3841025 3967223 Mx 0.994E08 0.937E08 -0.994E08 X Strips - Internal Forces (lbs. and in.-lbs.) - Line C Force/ Strip Design Moment Values" 5 1/2-6 6-7 7-8 8-10 Fx -1787383 -3581968 -3603165 -2064483 3574766 Fy -42357 -24255 -16465 -7061 84714 Mz -0.492E08 -0.924E08 -0.912E08 -0.519E08 0.984E08

  • Application of sign convention to maintain consistency with Reference 1 applied.
    • Application of sign convention to maintain consistency with Reference 1 applied.

Normalization to a 17-foot wide strip has been performed. Values for strip 5 I/2 - 6 factored by 2, and values for strip 8-10 factored by 1.7.

JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shric CLIENT PG&E-DCPP ORIGIP REVIEWER K. L. Whitmore APPRO CALCULATION NO. PGE-009-CALC-006 SHEET 49 OF 64 DATE March 3, 2003 tkage and Thermal Stresses qATOR VED S. C. Tumminelli ENERCON SERVICES, INC. R. F. Evers REVISION 1 I Table 9 (11/11) - Load Case 11 - Time 7.875 days Z Strips - Internal Forces (lbs. and in.-lbs.) - Line 5 1/2 Force/ Strip Design Moment Values C-D D-E Fy -61916 -26847 61916 Fz -3212272 -3109565 3212272 Mx 0.666E08 0.609E08 -0.666E08 X Strips - Internal Forces (Ibs. and in.-lbs.) - Line C Force/ Strip Design Moment Values" 5 1/2 -6 6-7 7-8 8-10 Fx -1434887 -2881157 -2912161 -1673170 2869774 Fy -49193 -25814 -16855 -7335 98386 Mz -0.338E08 -0.602E08 -0.584E08 -0.333E08 0.676E08

  • Application of sign convention to maintain consistency with Reference 1 applied.
    • Application of sign convention to maintain consistency with Reference I applied.

Normalization to a 17-foot wide strip has been performned. Values for strip 5 1/2 - 6 factored by 2, and values for strip 8-10 factored by 1.7.

d '1 ENERCON SERVICES, INC. SHEET 50 OF 64 DATE March 3,2003 JOB. NO. PROJECT PGE-009 DCPP ISFSI SUBJECT ISFSI ( CLIENT PG&E-REVIEWER K. L. V CALCULATION NO. ask Storage Pad Concrete Shrinkage and Thermal Stresses

  • DCPP Vhitmore ORIGINATOR APPROVED S. C. Tumminelli R. F. Evers PGE-009-CALC-006 REVISION 1

Unconstrained Model - Analysis Results - Thermal Stress Analysis The applied temperatures are the same for this model as for the constrained model. The plots shown in Appendix TPad-Th are therefore applicable. The numerical results are provided in Appendix RPadNC-TH. Unconstrained Model - Pad Response - Dismlacements The displacements for the individual load steps are shown in Appendix LSPadNC-TH. The displaced shape for the first nine load steps is the shape typically found in the literature where the free corner curls upward. The last two load steps, 10 and 11, have the opposite shape since these two load steps are for cooling loads. As the shapes show, the dead weight of the pad in not enough to force the pad to be compliant with the rock. The summed displacements of the pad for all the Load Cases are plotted in Appendix LCPadNC-TH, again to provide some sense of the magnitude of the expected deformations. The displaced shape for all eleven load cases shows that the free corner curls as opposed to the constrained model where the center of the pad arches. A plot of the displacements for Load Case 6 is shown in Figure 24 below. The upward displacements of the pad corner are summarized in Table 10. NODAL SOLUTION STEP-6 SUD =1 UY (AVG) RSYS-0 -. 779271 SMI -'.002826 SlX -. 746828 /MN FDM 10 2003 19: 41: 57 jl 11 A, .002826 .16816 .3 33494 .498827 .085493 .250827 .41616 PAD RESPONSE AT END OF 2.125 DAYS - NO PAD/ROCK CONSTRAINT .566411 .581494 .746828 Figure 24 - Pad Vertical Analytical Displacements at 2.125 days (same as Figure LCPadNC - 6)

ENERCON SERVICES, INC. SHEET 51 OF 64 DATE March 3,2003 JOB. NO. PGE-009 PROJECT DCPP] SUBJECT ISFSI ( CLIENT PG&E-REVIEWER K. L. V CALCULATION NO. ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses

  • DCPP ORIGINATOR APPROVED S. C. Tumnuinelli Vhitmore R. F. Evers PGE-009-CALC-006 REVISION 1

I Table 10 - Analytical Deflections (inches) Vs Time Time (days) Load Case Corner 5 0.25 1 0.0103 0.50 2 0.0774 0.625 3 0.0937 1.125 4 0.452 1.625 5 0.647 2.125 6 0.747 2.375 7 0.774 3.125 8 0.826 4.125 9 0.832 6.125 10 0.825 7.875 11 0.819 These displacements are small compared to the ACI Code suggested limit of 3.9 inches, see below Table 7. Unconstrained Model - Pad Resuonse - Stresses The pad stresses are plotted for Load Case 6 in Figures 25 and 26. Plots of Sx and Sz for all the Load Cases are provided in Appendix STPadNC-TH (see Figures STNC-1 through STNC-22). These plots show that from 0.25 days to 3.125 days both the top and bottom surfaces are in biaxial (X-Z) tension and the middle portion of the pad is in biaxial compression (see Figures STNC-1 to STNC-16). The time 4.125 days is a transition where the maximum tension stresses lie beneath the surfaces due to cooling (see Figures STNC-17 and STNC-18). Finally, as the pad cools, and the concrete hardens, the stresses reduce in magnitude and evolve in to a complex stress state (see Figure STNC-19 to STNC-22). A summary of the applied stresses is provided in Table 11. Comparing the stresses in Table 11 with those in Table 8 show that allowing the pad to slide on the rock reduces the applied stresses, in some cases significantly, compare the (Y3 Mn columns. The distribution of stress within the pad however, is markedly different. In the constrained model there is a net moment to the pad, hence tension on the top and compression on the bottom. While in the unconstrained model there is no net moment, hence the stress field with tension on both the top and bottom and compression in the middle.

SHEET 52 OF 64 DATE March 3,2003 JOB. NO. PGE-0O PROJECT DCPPl SUBJECT ISFSI ( CLIENT PG&E-REVIEWER K. L. V CALCULATION NO. [09 ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses -DCPP ENERCON SERVICES, INC. Vhitmore ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers REVISION 1 PGE-009-CALC-006

I NODAL SOLUTION FEB 10 2003 STEh-6 16:14:16 SUN =1 SX (AVG)

RSYS=O DHX -. 779271 SMN =-281.648 SMX =403,473 I z -2168-205.523 -1939-53.274 285 98.975

1.

251.224 3749403.473 PAD RESPONSE AT END OF 2.125 DAYS NO PAD/ROCK CONSTRAINT Figure 25 - Sx at time 2.125 days NODAL SOLUTION A FEB 10 2003 STEP-6 16:14:29 SUB -1 SE (AVG) RSYS-0 DX -. 779271 SW -- 285.329 SNX -410.854 -2539-207.975 -1062-53.268 2406 101.439 1873256.146 335 410.854 PAD RESPONSE AT END OF 2.*125 DAYS - NO PAD/ROCK CONSTRAINT Figure 26 - Sz at time 2.125 days 1

SHEET 53 OF 64 DATE March 3,2003 JOB. NO. PGE-0( PROJECT DCPP1 SUBJECT ISFSI ( CLIENT PG&E-REVIEWER K. L. V CALCULATION NO. 109 ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses -DCPP ORIGINATOR APPROVED S. C. Tumminelli ENERCON SERVICES, INC. Nhitmore R. F. Evers PGE-009-CALC-006 REVISION 1 Table 11 - Pad Stresses (psi) Vs Time y) (Case oX Max OX Mmn 6Z Max (YZ Min 01 Max 053 Mn f ft 0.25 1 56 -7 55 -7 56 -11 234 102 0.50 2 204 -67 205 -67 205 -68 469 145 0.625 3 300 -82 302 -82 302 -82 586 162 1.125 4 354 -190 360 -190 360 -190 1054 218 1.625 5 399 -261 406 -261 408 -262 1523 261 2.125 6 403 -284 411 -285 413 -285 1961 297 2.375 7 395 -283 403 -285 405 -285 2133 309 3.125 8 342 -256 350 -258 352 -259 2604 342 4.125 9 236 -218 248 -218 248 -219 2939 363 6.125 10 138 -154 152 -147 152 -160 3448 393 7.875 11 124 -220 130 -220 131 -232 3699 407

  • f = 6.7 Cfl7 In order to numerically assess the internal force distributions of the stress field within the pad, use is made of the ANSYS plot path capabilities. This feature allows stresses to be plotted along a specified path, i.e., a line defined within the finite element mesh. An examination of the stress plots, STNC-1 to STNC-22, shows that there are three locations where the stresses reach maximum values for the analyzed load cases. Thus, three paths were established. They are shown in Figure 27 below. The first is referred to as "X side" where X is 285.6 in. and Z is 0.0, the second is called "Center" where both X and Z are 0.0 and the third is called "Z side" where X is 0.0 and Z is 510.0 in. All three paths extend from the top of the pad to the bottom. Thus in the stress path plots, 0.0 is the top of the pad and 96 is the bottom.

A review of the stress contours indicates that the most demanding stresses and hence internal forces will be from Load Cases 5, 6 or 7. Path plots for Sx at X side, Sx and Sz at the Center and Sz at Z side are provided in Appendix STPadNC-TH, see Figures STNC-24 to STNC-32 for these load cases. A review

SHEET 54 OF 64 DATE March 3,2003 JOB. NO. PROJECT PGE-009 DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concr CLIENT PG&E-DCPP REVIEWER K. L. Whitmore CALCULATION NO. PGE-009-CALC-006 'ete Shrinkage and Thermal Stresses ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers ENERCON SERVICES, INC. REVISION 1 of these plots shows that Load Cases 5 and 6 will govern for the unconstrained analyses. These Cases are plotted in Figures 28 to 33 below. ELEMMNTS PATH P2-O PAD RESPONSE AT END OF 2.125 DAYS - NO PAD/ROCK CONSTRAINT AN FEE 10 2003 16:10:35 Figure 27 - Locations where stresses are plotted - paths POSTi STEP-5 SUE =1 PATH PLOCT Sz 343.863 284.040 224.212 164.384 104.556 44.728 -15.099 -74.927 X -134.755 -194.583 -254.411 0 19.2 31 9.6 28.8 END OF 1.625 DAYS SX AND SZ AT CENTER AN FEB 10 2003 16:20:35 3.4 57.6 76.8 49 67.2 86.4 DIST 96 Figure 28 - Sx and Sz at Center at time 1.625 days, see Figure STNC-24 C-(

SHEET 55 OF 64 l DATE March 3, 2003 l JOB. NO. PGE-0( PROJECT DCPP I SUBJECT ISFSI C CLIENT PG&E-REVIEWER K. L. N) CALCULATION NO. 09 ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses DCPP ORIGINATOR APPROVED S. C. Tumminelli ENERCON SERVICES, INC. lhitmore R. F. Evers PGE-009-CALC-006 REVISION 1 I POSTI STEP=5 SUn =1 PATH PLOT AN FEB 10 2003 16:21:38 396. 554 331.062 265. 568 200.074 134. 580 69.086 3.592 -61.901 -127.395 -192.889 -258.383 .i I. i L l i'

.N I

/ \\\\ ..',_.',/ .S , /_. I , I/ i 0 19.2 38.4 9.6 28.8 48 DIST 57.6 76.8 96 67.2 86.4 END OF 1.625 DAYS SX ON X SIDE Figure 29 - Sx at X side at time 1.625 days, see Figure STNC-25 AN POST1 FEB 18 2003 STEP-5 16:22:35 SUB =1 PATN PLOT 405.996. 339. 248 272.503 205. 7 5. 139.013 -

72. 268 5.523

-61.221 j -127.966 _l94.711> o wo -261.456 0 19.2 38.4 57.6 76.8 96 9.6 28.8 48 67.2 86.4 DIST END OF 1.625 DAYS SZ ON Z SIDE Figure 30 - Sz at Z side at time 1.625 days, see Figure STNC 26

SHEET 56 OF 64 l DATE March 3, 2003 l JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concr CLIENT PG&E-DCPP REVIEWER K. L. Whitmore CALCULATION NO. PGE-009-CALC-006 ete Shrinkage and Thermal Stresses ENERCON SERVICES, INC. ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers REVISION 1 N FEB 10 2003 S2EP=6 16:24 :14 SUB =1 PATH PLOT 5z 310.513 / 251.718 192.919 134.120 75.321. 16.522 -42.276 -101.075 -159.874. -218.673 -277.472 0 19 2 38.4 57.6 76.8 96 9.6 28.8 48 67.2 86.4 DI ST END OF 2.125 DAYS SX AND SZ AT CENTER Figure 31 - Sx and Sz at Center at time 2.125 days, see Figure STNC-27 AN POSTI FEB 10 2003 STEP-6 16:25:45 SUB =1 PATH PLOT 401.339 333.042 . i 264.743 ' 196.444 128.145 59.84 6 -8.452 -76.751 \\. / -145.050 / -213.349 - X- -281.6484 0 19.2 38.4 57.6 76.8 96 9.6 28.8 48 67.2 86.4 DIST END OF 2.125 DAYS SX ON X SIDE Figure 32 - Sx at X side at time 2.125 days, see Figure STNC-28

SHEET 57 OF 64 DATE March 3,2003 JOB. NO. PGE-009 PROJECT DCPP ISI SUBJECT ISFSI Ca! CLIENT PG&E-DI REVIEWER K. L. Whi PSI sk Storage Pad Concrete Shrinkage and Thermal Stresses CPP itmore ORIGINATOR APPROVED S. C. Tumminelli R. F. Evers VXTV.D FAN SERVICES, INC. CALCULATION NO. PGE-009-CALC-006 REVISION 1 POSTI STEP=6 SUB =1 PATH PLOT AN FE 10 2003 16: 26 44 410. B53 341.232 271 614 201.996 132. 378 62.760 -6.857 -76.475 -146.093 -215.711 -285.329 / I/ / A I / / i 0 19.2 38.4 9.6 29.9 48 DI ST 57.6 76.8 96 67.2

6. 4 END OF 2.125 DAYS SZ ON Z SIDE Figure 33 - Sz at Z side at time 2.125 days, see Figure STNC-29 The most demanding stress distributions for both the top and bottom reinforcement are shown in the Figures 28 to 33 above. The determination of reinforcement bar stresses will be made in subsequent calculations.

cI-.~ Is ENERCON SERVICES, INC. SHEET 58 OF 64 l DATE March 3, 2003 JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrin CLIENT PG&E-DCPP ORIGIP REVIEWER K. L. Whitmore APPRO CALCULATION NO. PGE-009-CALC-006 kage and Thermal Stresses [ATOR S. C. Tumminelli VED R. F. Evers REVISION 1 Analysis Results - Shrinka2e Stress Analysis Pad Resvonse - Displacements The pad displacements are plotted in Figures 34 and 35 below. The maximum displacement of the pad is l 0.0583 inches up at the corner. The displacements are also extracted from the data file and documented in Appendix DPad-SH. NODAL SOLUTION AN JAN 24 2002 STEPLS 12:32:42 SUB =1 TIME=1 UY (AV-) RSYS=0 DNX =.065894 smN =-.004968 sMx =.058279 X I 004968 .009087 .023142 .037197 .051251 .00206 .016114 .030169 .044224 .058279 Shrinkage at 117 days and Deadweight Figure 34 - Pad Shrinkage Vertical Displacements

ENERCON SERVICES, INC. SHEET 59 OF 64 l DATE March 3, 2003 JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrin CLIENT PG&E-DCPP ORIGIP REVIEWER K. L. Whitmore APPRO CALCULATION NO. PGE-009-CALC-006 nkage and Thermal Stresses NATOR S. C. Tumminelli VED R. F. Evers REVISION 1 l NODAL SOLUTION JAN 24 2002 STE5=1 12:34:08 SUB =1 TINEM=1 UY (AVG) RSYS=0 DIR =.0_ s1e =.0. -. 004968 .009087 .023142 .037197 .051251 00206 .016114 .030169 .044224 .058279 Shrinkage at 117 days and Deadweight I Figure 35 - Pad Shrinkage Vertical Displacements C2

ENERCON SERVICES, INC. SHEET 60 OF 64 DATE March 3,2003 JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concr CLIENT PG&E-DCPP REVIEWER K. L. Whitmore CALCULATION NO. PGE-009-CALC-006 ete Shrinkage and Thermal Stresses ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers REVISION 1 Pad Response - Stresses Pad stresses are plotted in Figures 36 to 39 below. The maximum tensile stress Si is very local to the top surface of the pad and extends almost completely over the surface. The full set of stresses are extracted from the data file and are provided in Table 12. The ANSYS run documenting this data is provided in Appendix SPad-SH. Table 12 - Pad Stresses (psi) aYX Max OXMn GZMax aZMinl 1 aMax C 3 Min f ft 1506 -189 1524 -183 1524 -230 5000 474 oft = 6.7 Cf NODAL SOLUTION JAN 24 2002 STEP=1 12:36:12 SUB =1 TIME=1 SX (AVG) RSYS=0 DMX =.065894 SMN =-177.19 StX =1506_ -177.19 190.858 570.905 944.953 1319 1 9.834 383.881 757.929 1132 1506 Shrinkage at 117 days and Deadweight Figure 36 - Pad Shrinkage SX Stresses C,

ENERCON SERVICES, INC. SHEET 61 OF 64 DATE March 3,2003 JOB. NO. PGE-0( PROJECT DCPPl SUBJECT ISFSI ( CLIENT PG&E-REVIEWER K. L. CALCULATION NO. 09 ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses -DCPP Thitmore ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers REVISION 1 PGE-009-CALC-006 I NODAL SOLUTION AN JAN 24 2002 3TEP=1 12:36:25 SUB =1 TIME=1 9Z (AVG) RSYS=0 DMX =.065894 SMN =-171.16 SMX=1524 -171.16 205.627 582.414 959.202 1336 17.233 394.021 770.808 1148 1524 Shrinkage at 117 days and Deadweight Figure 37 - Pad Shrinkage SZ Stresses I NODAL SOLUTION AN JAN 24 2002 9TEP=1 12:36:42 SUB =1 TIME=1 S1 (AVG) DMX =.065894 SMN =-71.619 x -71.619 1575283.048 4032637.715 8508992.382 110 1347 12 3MX=14 17 46d8Dead8 11012 _hikg t17dasadDawih Figure 38 - Pad Shrinkage S1 Stresses I

F .9..... ENERCON SERVICES, INC. SHEET 62 OF 64 DATE March 3,2003 JOB. NO. PGE-009 PROJECT DCPPI SUBJECT ISFSI C CLIENT PG&E-REVIEWER K. L. M CALCULATION NO. ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses DCPP [hitmore PGE-009-CALC-006 ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers REVISION 1 NODAL SOLUTION AN JAN 24 2002 STEp=1 12:36:56 SUB '1 TIME=1 E3 (AVG) DHX =.065894 SIN =-185.S4 SM8C =64.465 MX z -185.94 -130.295 -74.649 -19.004 36.642 -158.118 -102.472 -46.826 8.819 64.465 Shrinkage at 117 dayS and Deadweight Figure 39 - Pad Shrinkage S3 Stresses C T) 1,7

SHEET 63 OF 64 l DATE March 3,2003 l JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concr CLIENT PG&E-DCPP REVIEWER K. L. Whitmore CALCULATION NO. PGE-009-CALC-006 ete Shrinkage and Thermal Stresses ENERCON SERVICES, INC. ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers REVISION 1 Pad Response - Internal Forces The pad internal forces are provided in Table 13 for lines 5 1/2 and C. The ANSYS output documenting I this data extraction is provided in Appendix FPad-SH. Table 13 - Shrinkage Stress Analysis I Z Strips - Internal Forces (lbs. and in.-lbs.) - Line 5 1/7 Force/ Strip Design Moment Values* C-D D-E Fy -33078 -35415 35415 Fz -39019 -18571 39019 Mx 0.854E8 0.792E8 -0.854E8 X Strips - Internal Forces (lbs. and in.-lbs.) - Line C Force! Strip Design Moment Values" 5 -6 6-7 7-8 8-10 Fx -137830 -314890 -448136 -288218 489971 Fy -28244 -57891 -63084 -31288 63084 Mz -0.420E8 -0.838E8 -0.796E8 -0.405E8 0.840E8

  • Application of sign convention to maintain consistency with Reference 1 applied.
    • Application of sign convention to maintain consistency with Reference 1 applied.

Normalization to a 17-foot wide strip has been performed. Values for strip 5 '/2 - 6 factored by 2, and values for strip 8-10 factored by 1.7.

SHEET 64 OF 64 DATE March 3,2003 JOB. NO. PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrin CLIENT PG&E-DCPP ORIGIP REVIEWER K. L. Whitmore APPRO CALCULATION NO. PGE-009-CALC-006 [kage and Thermal Stresses 4ATOR S. C. Tumminelli VED R. F. Evers ENERCON SERVICES, INC. REVISION II Also, pad internal forces for the top 12 inches and the top 6 inches are provided in Table 14 for lines 5 '/2 l and C. This data is extracted from the database to provide a sense for the tension force calculated in the top sections of the pad. The ANSYS output documenting this data extraction is provided in Appendix FTPad-SH. Table 14 - Shrinkage Stress Analysis I Z Strips - Internal Forces for top 12 inches and top 6 inches (lbs.) - Line 5 V2 Force Strip Design Values C-D D-E Fz 12 inches 1510694 1419874 -1510694 Fz 6 inches 1358678 1143045 -1358678 X Strips - Internal Forces for top 12 inches and top 6 inches (Ibs.) - Line C Force Strip Design Values"* 5 1/2X6 6-7 7-8 8-10 FxI2 inches 718835 1430751 1384017 752669 -1437670 Fx 6 inches 578436 1153356 1128242 629499 -1156872

  • Application of sign convention to maintain consistency with Reference 1 applied.
    • Application of sign convention to maintain consistency with Reference 1 applied.

Normalization to a 17-foot wide strip has been performed. Values for strip 5 1/2 - 6 factored by 2, and values for strip 8-10 factored by 1.7. Summary and Conclusions This calculation computes applied internal forces due to pad heat up due to cement hydration and subsequent pad shrinkage. The values to be used in subsequent calculations to assess the probability of expected cracking and to size the reinforcement are provided in Tables 9, 13 and 14, and Figures 28 to 33.

ENERCON SERVICES, INC. Appendix TH-Loads to Calculation PGE-009-CALC-006 Sheet 1 of 6 Originator: Date: Revised: S. C. 4n inelli September 20, 2002 March 3, 2003 I Appendix TH-Loads This Appendix presents the ANSYS file documenting the applied loads for the constrained model thermal stress analysis.

F^ ENERCON SERVICES, INC. Appendix TH-Loads to Calculation PGE-009-CALC-006 ANSYS Input File: /FILE,PAD-TH RESUME EALL NALL MPLI CMLI /PREP7 LSCLEAR,ALL /title,DELTA T 0.0 TO 0.25 DAYS /COM, BC'S ALL LOAD STEPS ACEL,0,1,0 D,SYMXYUZ,0.0 D,SYMYZ,UX,0.0 D,XEDGE,UX,0.0 D,XEDGE,UY,0.0 D,XEDGE,UZ,0.0 D,ZEDGE,UX,0.0 D,ZEDGE,UY,0.0 D,ZEDGE,UZ,0.0 D,BOT,UX,0.0 D,BOT,UY,0.0 D,BOT,UZ,0.0 BFUNIF,TEMP,0.0 BF,CONC80,TEMP,15.00 BF,CONC75,TEMP,18.00 BF,CONC70,TEMP,19.67 BF,CONC65,TEMP,21.33 BF,CONC60,TEMP,21.33 BF,CONC50,TEMP,21.33 BF,CONC40,TEMP,21.33 BF,CONC30,TEMP,21.33 BF,CONC20,TEMP,21.33 BF,CONClO,TEMP,20.50 BF,CONCO5,TEMP,19.66 BF,CONCOO,TEMP,10.67 BF,ROCK05,TEMP,1.67 BF,ROCK10,TEMP,0.84 BF,ROCK20,TEMP,0.0 BF,ROCK30,TEMP,0.0 BF,ROCK40,TEMP,0.0 LSWRITE,1 /title,DELTA T 0.25 TO 0.50 DAYS /COM, NO DEAD WEIGHT AFTER FISRT LOAD STEP ACEL,0,0.01,0 BF,CONC80,TEMP,-2.50 BF,CONC75,TEMP,10.50 BF,CONC70,TEMP,9.25 BF,CONC65,TEMP,8.00 BF,CONC60,TEMP,16.67 BF,CONC50,TEMP,25.33 BF,CONC40,TEMP,25.33 BF,CONC30,TEMP,25.33 BF,CONC20,TEMP,25.12 BF,CONC10,TEMP,21.41 Sheet 2 of 6

FE .a ENERCON E j SERVICES, INC. Appendix TH-Loads to Calculation PGE-009-CALC-006 Sheet 3 of 6 BF,CONCO5,TEMP,17.92 BF,CONCO0,TEMP,12.66 BF,ROCK05,TEMP,7.41 BF,ROCK10,TEMP,3.91 BF,ROCK20,TEMP,0.21 BF,ROCK30,TEMP,0.0 BFROCK40,TEMP,0.0 LSWRITE,2 /title,DELTA T 0.50 TO 0.625 DAYS BF,CONC80,TEMP,-3.00 BF,CONC75,TEMP,-1.35 BF,CONC70,TEMP,9.32 BF,CONC65,TEMP,13.46 BF,CONC60,TEMP,9.33 BF,CONC50,TEMP,9.33 BF,CONC40,TEMP,9.33 BF,CONC30,TEMP,9.33 BF,CONC20,TEMP,9.33 BF,CONC10,TEMP,9.33 BF,CONCO5,TEMP,2.04 BF,CONCOO,TEMP,4.67 BF,ROCK05,TEMP,7.30 BF,ROCK10,TEMP,0.0 BF,ROCK20,TEMP,0.0 BF,ROCK30,TEMP,0.0 BF,ROCK40,TEMP,0.0 LSWRITE,3 /title,DELTA T 0.625 TO 1.125 DAYS BF,CONC80,TEMP,-5.40 BF,CONC75,TEMP,-7.44 BF,CONC70,TEMP,-8.81 BF,CONC65,TEMP,-3.10 BF,CONC60,TEMP,2.62 BF,CONC50,TEMP,15.00 BF,CONC40,TEMP,20.11 BF,CONC30,TEMP,20.32 BF,CONC20,TEMP,17.86 BF,CONC10,TEMP,11.88 BF,CONCO5,TEMP,11.11 BF,CONCOO,TEMP,10.33 BF,ROCK05,TEMP,9.55 BF,ROCK10,TEMP,8.78 BF,ROCK20,TEMP,2.81 BF,ROCK30,TEMP,0.35 BF,ROCK40,TEMP,0.01 LSWRITE,4 /title,DELTA T 1.125 TO 1.625 DAYS BF,CONC80,TEMP,-2.10 BF,CONC75,TEMP,-5.50 BF,CONC70,TEMP,-6.46 BF,CONC65,TEMP,-4.73 BF,CONC60,TEMP,-3.00 BF,CONC50,TEMP,2.25 BF,CONC40,TEMP,7.32 BF,CONC30,TEMP,8.45 BF,CONC20,TEMP,6.32 BF,CONC1O,TEMP,3.74

F I f ENERCON U SERVICES INC. Appendix TH-Loads to Calculation PGE-009-CALC-006 Sheet 4 of 6 BF,CONCO5,TEMP,4.45 BF,CONC00,TEMP,5.16 BF,ROCK05,TEMP,5.88 BF,ROCK10,TEMP,6.60 BF,ROCK20,TEMP,3.98 BF,ROCK30,TEMP,1.38 BF,ROCK40,TEMP,0.25 LSWRITE,5 /title,DELTA T 1.625 BF,CONC80,TEMP,-0.80 BF,CONC75,TEMP,-3.06 BF,CONC70,TEMP,-4.06 BF,CONC65,TEMP,-3.96 BF,CONC60,TEMP,-3.87 BF,CONC50,TEMP,-2.22 BF,CONC40,TEMP,0.96 BF,CONC30,TEMP,2.29 BF,CONC20,TEMP,1.53 BF,CONC10,TEMP,0.91 BF,CONCO5,TEMP,1.87 BF,CONCOO,TEMP,2.83 BF,ROCK05,TEMP,3.78 BF,ROCK1O,TEMP,4.72 BF,ROCK20,TEMP,3.82 BF,ROCK30,TEMP,1.98 BF,ROCK40,TEMP,0.53 LSWRITE,6 /title,DELTA T 2.125 BF,CONC80,TEMP,-0.20 BF,CONC75,TEMP,-0.94 BF,CONC70,TEMP,-1.28 BF,CONC65,TEMP,-1.47 BF,CONC60,TEMP,-1.65 BF,CONC50,TEMP,-1.51 BF,CONC40,TEMP,-0.54 BF,CONC30,TEMP,0.08 BF,CONC20,TEMP,0.09 BF,CONC10,TEMP,0.20 BF,CONCO5,TEMP,0.63 BF,CONCOO,TEMP,1.06 BF,ROCK05,TEMP,1.46 BF,ROCK10,TEMP,1.86 BF,ROCK20,TEMP,1.73 BF,ROCK30,TEMP,1.05 BF,ROCK40,TEMP,0.33 LSWRITE,7 /title,DELTA T 2.375 BF,CONC80,TEMP,-0.50 BF,CONC75,TEMP,-2.13 BF,CONC70,TEMP,-3.07 BF,CONC65,TEMP,-3.90 BF,CONC60,TEMP,-4.74 BF,CONC50,TEMP,-5.60 BF,CONC40,TEMP,-4.20 BF,CONC30,TEMP,-2.72 BF,CONC20;TEMP,-1.85 BF,CONC10,TEMP,-0.66 TO 2.125 DAYS TO 2.375 DAYS TO 3.125 DAYS

F iR ENERCON SERVICES, INC. Appendix TH-Loads to Calculation PGE-009-CALC-006 BFCONC05,TEMP,0.64 BF,CONCO0,TEMP,1.94 BF,ROCK05,TEMP,3.10 BF,ROCK10,TEMP,4.26 BF,ROCK20,TEMP,4.39 BF,ROCK30,TEMP,3.00 BF,ROCK40,TEMP,1.03 LSWRITE,8 /title,DELTA T 3.125 TO 4.125 DAYS BF,CONC80,TEMP,-0.30 BF,CONC75,TEMP,-2.03 BF,CONC70,TEMP,-3.14 BF,CONC65,TEMP,-4.49 BF,CONC60,TEMP,-5.84 BF,CONC50,TEMP,-8.34 BF,CONC40,TEMP,-8.35 BF,CONC30,TEMP,-7.11 BF,CONC20,TEMP,-5.33 BF,CONC10,TEMP,-2.91 BF,CONCO5,TEMP,-1.19 BF,CONC0O,TEMP,0.54 BF,ROCK05,TEMP,1.98 BF,ROCK10,TEMP,3.43 BF,ROCK20,TEMP,4.18 BF,ROCK30,TEMP,3.19 BF,ROCK40,TEMP,1.18 LSWRITE,9 /title,DELTA T 4.125 TO 6.125 DAYS BF,CONC80,TEMP,0.0 BF,CONC75,TEMP,-1.38 BF,CONC70,TEMP,-2.61 BF,CONC65,TEMP,-4.76 BF,CONC60,TEMP,-6.91 BF,CONC50,TEMP,-11.78 BF,CONC40,TEMP,-13.65 BF,CONC30,TEMP,-12.77 BF,CONC20,TEMP,-9.82 BF,CONC10,TEMP,-5.60 BF,CONCO5,TEMP,-3.36 BF,CONCOO,TEMP,-1.12 BF,ROCK05,TEMP,0.66 BF,ROCK10,TEMP,2.43 BF,ROCK20,TEMP,4.06 BF,ROCK30,TEMP,3.52 BF,ROCK40,TEMP,1.37 LSWRITE,10 /title,DELTA T 6.125 TO 7.875 DAYS BF,CONC80,TEMP,0.0 BF,CONC75,TEMP,-0.69 BF,CONC70,TEMP,-1.33 BF,CONC65,TEMP,-2.51 BF,CONC60,TEMP,-3.69 BF,CONC50,TEMP,-6.58 BF,CONC40,TEMP,-8.12 BF,CONC30,TEMP,-8.10 BF,CONC20,TEMP,-6.75 BF,CONC10,TEMP,-4.56 Sheet 5 of 6

F 3 ENERCON Pi SERVICES, INC. Appendix TH-Loads to Calculation PGE-009-CALC-006 Sheet 6 of 6 BF,CONCO5,TEMP,-3.38 BF,CONCOO,TEMP,-2.20 BF,ROCK05,TEMP,-1.23 BF,ROCK1O,TEMP,-0.25 BF,ROCK20,TEMP,0.85 BF,ROCK30,TEMP,1.01 BF,ROCK40,TEMP,0.43 LSWRITE,11 FINISH /EXIT,NOSAVE

ENERCON I SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 Sheet 1 of 55 Originator: Date: Revised: S. C. Tumminelli September 20, 2002 March 3, 2003 Appendix RPad-TH This Appendix presents the ANSYS output file documenting the execution of the constrained model thermal stress analysis and the output temperatures for checking.

Sheet 2 of 55 ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 ANSYS Output File: ANSYS/Mechanical U W E L C O M E T O T H E A N S Y S P R O G R A M ANSYS 6.1 NOTICES

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  • IS PROHIBITED WITHOUT THE PRIOR EXPRESS WRITTEN PERMISSION
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  • The Program also contains the following licensed software:
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Sheet 3 of 55 F-by ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006

  • RESPONSIBILITY OF THE USER TO CONFIRM THE ACCURACY AND
  • USEFULNESS OF THE RESULTS.

Completing ANSYS Load Process. ANSYS COMMAND LINE ARGUMENTS INITIAL JOBNAME = PAD-TH BATCH MODE REQUESTED = LIST MEMORY REQUESTED (MB) = 800 DATABASE SIZE REQUESTED (MB) = 250

      • WARNING ***

CP= 0.180 TIME= 16:49:19 Use of the -M switch is no longer recommended for normal ANSYS use. ANSYS now dynamically allocates memory as needed. Only use the -M switch if you are certain that you need to do so. PARAMETER STATUS-( 1 PARAMETERS DEFINED) (INCLUDING 1 INTERNAL PARAMETERS) 00245050 VERSION=INTEL NT RELEASE= 6.1 UP20020321 CURRENT JOBNAME=PAD-TH 16:49:19 JUN 10, 2002 CP= 0.180 1 resume 2 nail 3 eall 4 mpli 5 /com start, change the material properties for each time step, initial 6 /com property is no. 2. Change back to no. 2 at end and save. 7 /solu 8 /HEADER,ON,OFF,OFF,OFF,ON,OFF 9 elist,530 10 lssolve,l 11 esel,type,2 12 mpchg,3,all 13 eall 14 elist,530 15 lssolve,2 16 esel,type,2 17 mpchg,4,all 18 eall 19 elist,530 20 lssolve,3 21 esel,type,2 22 mpchg,5,all 23 eall 24 elist,530 25 lssolve,4 26 esel,type,2 27 mpchg,6,all 28 eall 29 elist,530 30 lssolve,5 31 esel,type,2 32 mpchg,7,all

Sheet 4 of 55 F--5 ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 33 eall 34 elist,530 35 lssolve,6 36 esel,type,2 37 mpchg,8,all 38 eall 39 elist,530 40 lssolve,7 41 esel,type,2 42 mpchg,9,all 43 eall 44 elist,530 45 lssolve,8 46 esel,type,2 47 mpchg,10,all 48 eall 49 elist,530 50 lssolve,9 51 esel,type,2 52 mpchg,11,all 53 eall 54 elist,530 55 lssolve,10 56 esel,type,2 57 mpchg,12,all 58 eall 59 elist,530 60 lssolve,11 61 esel,type,2 62 mpchg,2,all 63 eall 64 elist,530 65 finish 66 save 67 /POST1 68 /HEADER,ON,OFF,OFF,OFF,ON,OFF 69 /COM 70 /COM SUM RESULTS, SET TITLES AND WRITE LOAD CASE FILES FOR FURTHER PROCESSING 71 /COM 72 LCSUM,ALL 73 LCDEFl,l 74 LCDEF,2,2 75 LCDEF,3,3 76 LCDEF,4,4 77 LCDEF,5,5 78 LCDEF,6,6 79 LCDEF,7,7 80 LCDEF,8,8 81 LCDEF,9,9 82 LCDEF,10,10 83 LCDEF,11,11 84 LCASE,1 85 /TITLEPAD RESPONSE AT END OF 0.25 DAYS 86 LCWRITE,1 87 LCOPER,ADD,2 88 /TITLE,PAD RESPONSE AT END OF 0.50 DAYS

F. Sheet 5 of 55 ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 LCWRITE, 2 LCOPER,ADD, 3 /TITLE,PAD RESPONSE LCWRITE, 3 LCOPER,ADD, 4 /TITLE,PAD RESPONSE LCWRITE, 4 LCOPER,ADD, 5 /TITLE,PAD RESPONSE LCWRITE, 5 LCOPER,ADD, 6 /TITLE,PAD RESPONSE LCWRITE, 6 LCOPER,ADD, 7 /TITLE,PAD RESPONSE LCWRITE, 7 LCOPER,ADD, 8 /TITLE,PAD RESPONSE LCWRITE, 8 LCOPER,ADD,9 /TITLE,PAD RESPONSE LCWRITE,9 LCOPER,ADD,10 /TITLE,PAD RESPONSE LCWRITE,10 LCOPER,ADD,ll /TITLE,PAD RESPONSE LCWRITE,ll FINISH AT END OF 0.625 DAYS AT END OF 1.125 DAYS AT END OF 1.625 DAYS AT END OF 2.125 DAYS AT END OF 2.375 DAYS AT END OF 3.125 DAYS AT END OF 4.125 DAYS AT END OF 6.125 DAYS AT END OF 7.875 DAYS /com print the temperatures for checking EALL NALL /POST1 /HEADER,ON,OFF,OFF,OFF,ON,OFF NSEL,S,LOC,X,0.0 NSEL,R,LOC,Z,0.0 NSEL,R,LOC,Y,0.0,-145.0 NLIS SET,1 NSORT,LOC,Y PRNSOL,BFE SET, 2 NSORT,LOC,Y PRNSOL,BFE SET, 3 NSORT,LOC,Y PRNSOL,BFE SET,4 NSORT,LOC,Y PRNSOL,BFE SET, 5 NSORT,LOC,Y PRNSOL,BFE SET, 6 NSORT,LOC,Y PRNSOL,BFE SET, 7

FO.. I ENERCON

1,

SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 Sheet 6 of 55 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 NSORT,LOC,Y PRNSOL,BFE SET,8 NSORT,LOC,Y PRNSOL,BFE SET,9 NSORT,LOC,Y PRNSOL,BFE SET,10 NSORT,LOC,Y PRNSOL,BFE SET,11 NSORT,LOC,Y PRNSOL,BFE LCASE,1 NSORT,LOC,Y PRNSOL,BFE LCASE,2 NSORT,LOC,Y PRNSOL,BFE LCASE,3 NSORT,LOC,Y PRNSOL,BFE LCASE,4 NSORT,LOC,Y PRNSOL,BFE LCASE,5 NSORT,LOC,Y PRNSOL,BFE LCASE,6 NSORT,LOC,Y PRNSOL,BFE LCASE,7 NSORT,LOC,Y PRNSOL,BFE LCASE,8 NSORT,LOC,Y PRNSOL,BFE LCASE,9 NSORT,LOC,Y PRNSOL,BFE LCASE,10 NSORT,LOC,Y PRNSOL,BFE LCASE,11 NSORT,LOC,Y PRNSOL,BFE NUSORT FINISH eall nall /EXIT,NOSAVE RUN SETUP PROCEDURE FROM FILE= C:\\Program Files\\Ansys Inc\\ANSYS61\\docu\\start61.ans /INPUT FILE= C:\\Program Files\\Ansys Inc\\ANSYS61\\docu\\start61.ans LINE= 0

F W ENERCON

1 SERVICES, INC.

Appendix RPad-TH to Calculation PGE-009-CALC-006 RESUME ANSYS DATA FROM FILE NAME=PAD-TH.db

      • ANSYS GLOBAL STATUS ***

Sheet 7 of 55 TITLE = Pad thermal analysis model NUMBER OF ELEMENT TYPES = 5 8812 ELEMENTS CURRENTLY SELECTED. 10212 NODES CURRENTLY SELECTED. 166 KEYPOINTS CURRENTLY SELECTED 339 LINES CURRENTLY SELECTED. 2 AREAS CURRENTLY SELECTED. 48 VOLUMES CURRENTLY SELECTED. 22 COMPONENTS CURRENTLY DEFINED MAXIMUM LINEAR PROPERTY NUMBER MAXIMUM REAL CONSTANT SET NUMBER ACTIVE COORDINATE SYSTEM MAXIMUM COUPLED D.O.F. SET NUMBER MAX MAX MAX MAX MAX MAX ELEMENT NUMBER = NODE NUMBER = KEYPOINT NUMBER = LINE NUMBER = AREA NUMBER = VOL. NUMBER = 9341 10212 166 339 224 48 = 12 = 1 = 0 (CARTESIAN) = 367 INITIAL JOBNAME = PAD-TH CURRENT JOBNAME = PAD-TH 10212 NODES (OF 8812 ELEMENTS (OF 10212 DEFINED) SELECTED BY NALL COMMAND. 8812 DEFINED) SELECTED BY EALL COMMAND. LIST MATERIALS PROPERTY= ALL 1 TO 12 BY 1 PROPERTY TABLE TEMPERATURE 0.0000 EX MAT= 1 NUM. POINTS= DATA TEMPERATURE DATA 0.20000E+07 1 TEMPERATURE DATA PROPERTY TABLE TEMPERATURE 0.0000 NUXY MAT= 1 NUM. POINTS= DATA TEMPERATURE DATA 0.24000 1 TEMPERATURE DATA PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 ALPX MAT= 1 NUM. POINTS= DATA TEMPERATURE DATA 0.50000E-05 DENS MAT= 1 NUM. POINTS= DATA TEMPERATURE DATA 0.0000 EX MAT= 2 NUM. POINTS= DATA TEMPERATURE DATA 0.92400E+06 TEMPERATURE 1 TEMPERATURE 1 TEMPERATURE DATA DATA DATA PROPERTY TABLE TEMPERATURE O.0000 PROPERTY TABLE TEMPERATURE 0.0000 NUXY MAT= 2 NUM. POINTS= DATA TEMPERATURE DATA 0.15000 ALPX MAT= 2 NUM. POINTS= DATA TEMPERATURE DATA 0.51800E-05 1 TEMPERATURE 1 TEMPERATURE DATA DATA

rr1 ENERCON r1 J SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 Sheet 8 of 55 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 DENS MAT= 2 NUM. POINTS= DATA TEMPERATURE DATA 0.78100E-01 EX MAT= 3 NUM. POINTS= DATA TEMPERATURE DATA 0.13060E+07 1 TEMPERATURE 1 TEMPERATURE DATA DATA PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 NUXY MAT= 3 NUM. POINTS= DATA TEMPERATURE DATA 0.15000 ALPX MAT= 3 NUM. POINTS= DATA TEMPERATURE DATA 0.51800E-05 1 TEMPERATURE 1 TEMPERATURE DATA DATA PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 DENS MAT= 3 NUM. POINTS= DATA TEMPERATURE DATA 0.78100E-01 EX MAT= 4 NUM. POINTS= DATA TEMPERATURE DATA 0.14600E+07 1 TEMPERATURE 1 TEMPERATURE DATA DATA PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 NUXY MAT= 4 NUM. POINTS= DATA TEMPERATURE DATA 0.15000 ALPX MAT= 4 NUM. POINTS= DATA TEMPERATURE DATA 0.518OOE-05 1 TEMPERATURE 1 TEMPERATURE DATA DATA PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 DENS MAT= 4 NUM. POINTS= DATA TEMPERATURE DATA 0.78100E-01 EX MAT= 5 NUM. POINTS= DATA TEMPERATURE DATA 0.19640E+07 NUXY MAT= 5 NUM. POINTS= DATA TEMPERATURE DATA 0.15000 1 TEMPERATURE 1 TEMPERATURE 1 TEMPERATURE DATA DATA DATA PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 ALPX MAT= 5 NUM. POINTS= DATA TEMPERATURE DATA 0.518OOE-05 DENS MAT= 5 NUM. POINTS= DATA TEMPERATURE DATA 0.78100E-01 1 TEMPERATURE 1 TEMPERATURE DATA DATA PROPERTY TABLE TEMPERATURE 0.0000 EX MAT= 6 NUM. POINTS= DATA TEMPERATURE DATA 0.23580E+07 1 TEMPERATURE DATA PROPERTY TABLE NUXY MAT= 6 NUM. POINTS= I

F" ENERCON SERVICES, INC. Sheet 9 of 55 Appendix RPad-TH to Calculation PGE-009-CALC-006 TEMPERATURE 0.0000 DATA TEMPERATURE 0.15000 DATA TEMPERATURE DATA PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 ALPX MAT= 6 NUM. POINTS= DATA TEMPERATURE DATA 0.51800E-05 DENS MAT= 6 NUM. POINTS= DATA TEMPERATURE DATA 0.78100E-01 1 TEMPERATURE 1 TEMPERATURE DATA DATA PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 EX MAT= 7 NUM. POINTS= DATA TEMPERATURE DATA 0.26740E+07 NUXY MAT= 7 NUM. POINTS= DATA TEMPERATURE DATA 0.15000 ALPX MAT= 7 NUM. POINTS= DATA TEMPERATURE DATA 0.51800E-05 1 TEMPERATURE 1 TEMPERATURE 1 TEMPERATURE DATA DATA DATA PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 DENS MAT= 7 NUM. POINTS= DATA TEMPERATURE DATA 0.78100E-01 EX MAT= 8 NUM. POINTS= DATA TEMPERATURE DATA 0.27880E+07 1 TEMPERATURE 1 TEMPERATURE DATA DATA PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 NUXY MAT= 8 NUM. POINTS= DATA TEMPERATURE DATA 0.15000 ALPX MAT= 8 NUM. POINTS= DATA TEMPERATURE DATA 0.51800E-05 1 TEMPERATURE 1 TEMPERATURE DATA DATA PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 DENS MAT= 8 NUM. POINTS= DATA TEMPERATURE DATA 0.78100E-01 EX MAT= 9 NUM. POINTS= DATA TEMPERATURE DATA 0.30800E+07 1 TEMPERATURE 1 TEMPERATURE DATA DATA PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 NUXY MAT= 9 NUM. POINTS= DATA TEMPERATURE DATA 0.15000 ALPX MAT= 9 NUM. POINTS= DATA TEMPERATURE DATA 0.518OOE-05 1 TEMPERATURE 1 TEMPERATURE DATA DATA PROPERTY TABLE DENS MAT= 9 NUM. POINTS= TEMPERATURE DATA TEMPERATURE DATA 1 TEMPERATURE DATA

F' -I ENERCON is 3 nSERVICES, INC. Sheet 10 of 55 Appendix RPad-TH to Calculation PGE-009-CALC-006 0.0000 0.78100E-01 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 EX MAT= 10 NUM. POINTS= DATA TEMPERATURE DATA 0.32710E+07 NUXY MAT= 10 NUM. POINTS= DATA TEMPERATURE DATA 0.15000 1 TEMPERATURE 1 TEMPERATURE DATA DATA PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 ALPX MAT= 10 NUM. POINTS= DATA TEMPERATURE DATA 0.51800E-05 DENS MAT= 10 NUM. POINTS= DATA TEMPERATURE DATA 0.78100E-01 1 TEMPERATURE 1 TEMPERATURE DATA DATA PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 EX MAT= 11 NUM. POINTS= DATA TEMPERATURE DATA 0.35430E+07 NUXY MAT= 11 NUM. POINTS= DATA TEMPERATURE DATA 0.15000 1 TEMPERATURE 1 TEMPERATURE DATA DATA PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 ALPX MAT= 11 NUM. POINTS= DATA TEMPERATURE DATA 0.51800E-05 DENS MAT= 11 NUM. POINTS= DATA TEMPERATURE DATA 0.78100E-01 1 TEMPERATURE 1 TEMPERATURE DATA DATA PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 EX MAT= 12 NUM. POINTS= DATA TEMPERATURE DATA 0.36690E+07 NUXY MAT= 12 NUM. POINTS= DATA TEMPERATURE DATA 0.15000 ALPX MAT= 12 NUM. POINTS= DATA TEMPERATURE DATA 0.51800E-05 1 TEMPERATURE 1 TEMPERATURE 1 TEMPERATURE DATA DATA DATA PROPERTY TABLE TEMPERATURE 0.0000 DENS MAT= 12 NUM. POINTS= DATA TEMPERATURE DATA 0.78100E-01 TEMPERATURE DATA start, change the material properties for each time step, initial property is no. 2. Change back to no. 2 at end and save.

          • ANSYS SOLUTION ROUTINE PRINT HEADER DO NOT PRINT SUBTITLE(S)

F> I ENERCON rI l SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 DO NOT PRINT LOAD STEP ID DO NOT PRINT NOTE LINE(S) PRINT COLUMN HEADER LABELS DO NOT PRINT REPORT TOTALS Sheet 11 of 55 LIST ALL SELECTED ELEMENTS IN RANGE 1 530 TO 530 STEP 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 16:49:19 JUN 10, 2002 CP=

0. 391 Pad thermal analysis model ELEM MAT TYP REL ESY SEC TSHA NODES 530 2

2 1 ANSYS RELEASE 6.1 0 1 UP20020321 1 28 29 3 672 1050 16:47:47 06/10/2002 1064 728 PRINTOUT RESUMED BY /GOP Load step file number 1. Begin solution... ANSYS SOLVE COMMAND

      • NOTE ***

CP= 1.662 TIME= 16:49:21 Real constant 1 has been referenced by element types 4 and 5. We assume it identifies a contact pair. 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 16:49:21 JUN 10, 2002 CP= 1.853 DELTA T 0.0 TO 0.25 DAYS S O L U T I O N O P T I O N S PROBLEM DIMENSIONALITY.............3-D DEGREES OF FREEDOM...... UX UY UZ ANALYSIS TYPE.................STATIC (STEADY-STATE) NEWTON-RAPHSON OPTION............ PROGRAM CHOSEN

      • NOTE ***

CP= 1.883 TIME= 16:49:21 Present time 0 is less than or equal to the previous time. Time will default to 1.

      • NOTE ***

CP= 1.893 TIME= 16:49:21 Nonlinear analysis, NROPT set to the FULL Newton-Raphson solution procedure for ALL DOFs. SOLCONTROL,ON uses sparse matrix direct solver

      • NOTE ***

CP= 1.893 TIME= 16:49:21 The conditions for direct assembly have been met. No.emat or.erot

FA as ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 files will be produced.

      • WARNING ***

CP= 1.893 TIME= 16:49:21 The program chosen initial timestep/load-factor is arbitrary. It is necessary for the user to supply a suitable initial timestep/load-factor through the NSUB or DELTIM command for convergence and overall efficiency. L O A D S T E P O P T I O N S Sheet 12 of 55 LOAD STEP NUMBER. 1 TIME AT END OF THE LOAD STEP...... 1.0000 AUTOMATIC TIME STEPPING............ ON INITIAL NUMBER OF SUBSTEPS......... 1 MAXIMUM NUMBER OF SUBSTEPS......... 5000 MINIMUM NUMBER OF SUBSTEPS. 1 START WITH TIME STEP FROM PREVIOUS SUBSTEP YES MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS.... 15 STEP CHANGE BOUNDARY CONDITIONS........ NO TERMINATE ANALYSIS IF NOT CONVERGED......YES (EXIT) CONVERGENCE CONTROLS.... ..........USE DEFAULTS INERTIA LOADS X Y Z ACEL........ 0.0000 1.0000 0.0000 PRINT OUTPUT CONTROLS. ............NO PRINTOUT DATABASE OUTPUT CONTROLS... .........ALL DATA WRITTEN FOR THE LAST SUBSTEP NONLINEAR MONITORING INFO IS WRITTEN TO FILE= PAD-TH.mntr MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS HAS BEEN MODIFIED TO BE, NEQIT = 26, BY SOLUTION CONTROL LOGIC. NOTE *** CP= 2.644 TIME= 16:49:22 Deformable-deformable contact pair identified by real constant set 1 and contact element type 5 has been set up. Contact algorithm: Augmented Lagrange method Contact detection at: Gauss integration point Default contact stiffness factor FKN 1.0000 The resulting contact stiffness 0.15725E+07 Default penetration tolerance factor FTOLN 0.10000 The resulting penetration tolerance 1.1752 User define tangent contact stiffness FKT 0.10000E-08 Default Max. friction stress TAUMAX 0.10000E+21 Average contact surface length 39.172 Average contact pair depth 11.752 Default pinball region factor PINB 1.0000 The resulting pinball region 11.752 User define initial closure ICONT 0.100OOE-05

  • WARNING*: Initial penetration is included.

NOTE *** CP= 2.644 TIME= 16:49:22 Max. Initial penetration 1.421085472E-14 was detected between contact element 9172 and target element 9002.

ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006

        • CENTER OF MASS, MASS, AND MASS MOMENTS OF INERTIA ****

CALCULATIONS ASSUME ELEMENT MASS AT ELEMENT CENTROID TOTAL MASS = 0.19272E+07 Sheet 13 of 55 MOM. OF INERTIA ABOUT ORIGIN MOM. OF INERTIA ABOUT CENTER OF MASS CENTER OF MASS XC = YC = ZC = 204.00 -48.000 315.00 IXX = IYY = IZZ = IXY = IYZ = IZX = 0. 2606E+12 0.3614E+12

0. 1126E+12
0. 1887E+11 o. 2914E+ll

-0.1238E+12 IXX = IYY = IZZ = IXY = IYZ = IZX =

0. 6494E+11
0. 8995E+11 0.2793E+11

-0.2327E-03 -0. 3052E-04 0.2487E-02

      • MASS

SUMMARY

BY ELEMENT TYPE

  • TYPE MASS 2 0.192718E+07 Range of element maximum matrix coefficients in global coordinates Maximum= 549511638 at element 7329.

Minimum= 4772865.79 at element 5330.

      • ELEMENT MATRIX FORMULATION TIMES TYPE NUMBER ENAME TOTAL CP AVE CP 1

6602 SOLID45 2.383 0.000361 2 1870 SOLID45 0.761 0.000407 4 170 TARGE170 0.000 0.000000 5 170 CONTA174 0.240 0.001414 Time at end of element matrix formulation CP= 6.34912968. ALL CURRENT ANSYS DATA WRITTEN TO FILE NAME= PAD-TH.rdb FOR POSSIBLE RESUME FROM THIS POINT FORCE CONVERGENCE VALUE = 0.4319E+07 CRITERION= 0.2204E+05 SPARSE MATRIX DIRECT SOLVER. Number of equations = 25612 Memory available for solver Memory required for in-core Optimal memory required for Minimum memory required for EQUIL ITER 1 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 2 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 3 COMPLETED. LINE SEARCH PARAMETER = 2, Maximum wavefront = 83 110.74 MB 110.74 MB out-of-core = 19.96 MB out-of-core = 11.21 MB NEW TRIANG MATRIX. MAX DOF INC= 0.2413E-01 1.000 SCALED MAX DOF INC = 0.2413E-01

0.1837E+06 CRITERION

3888. NEW TRIANG MATRIX. MAX DOF INC= 0.4418E-02 0.8312 SCALED MAX DOF INC = 0.3672E-02

0.8657E+06 CRITERION

3987. NEW TRIANG MATRIX. MAX DOF INC= 0.2601E-02 1.000 SCALED MAX DOF INC = 0.2601E-02 FORCE CONVERGENCE VALUE = 0.2533E+06 CRITERION= 4083. EQUIL ITER 4 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.3694E-02

F'. k' tENERCON ,aSERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 .>.5.x Sheet 14 of 55 LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 5 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 6 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 7 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 8 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 9 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 10 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 11 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 12 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 13 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 14 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 15 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 16 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE 1.000 SCALED MAX DOF INC = 0.3694E-02

0.4250E+06 CRITERION

4176. NEW TRIANG MATRIX. MAX DOF INC= 0.3577E-02 1.000 SCALED MAX DOF INC = 0.3577E-02

0.1575E+06 CRITERION

4265. NEW TRIANG MATRIX. MAX DOF INC= 0.4873E-02 1.000 SCALED MAX DOF INC = 0.4873E-02

0.2214E+06 CRITERION

4339. NEW TRIANG MATRIX. MAX DOF INC= 0.2651E-02 1.000 SCALED MAX DOF INC = 0.2651E-02

0.1319E+06 CRITERION

4425. NEW TRIANG MATRIX. MAX DOF INC= 0.3189E-02 1.000 SCALED MAX DOF INC = 0.3189E-02

0.1458E+06 CRITERION

4511. NEW TRIANG MATRIX. MAX DOF INC= 0.2689E-02 1.000 SCALED MAX DOF INC = 0.2689E-02

0.9357E+05 CRITERION

4598. NEW TRIANG MATRIX. MAX DOF INC= 0.3610E-02 1.000 SCALED MAX DOF INC = 0.3610E-02

0.8573E+05 CRITERION

4684. NEW TRIANG MATRIX. MAX DOF INC= 0.1675E-02 0.8603 SCALED MAX DOF INC = 0.1441E-02

0.9602E+05 CRITERION

4776. NEW TRIANG MATRIX. MAX DOF INC= 0.8076E-03 0.7546 SCALED MAX DOF INC = 0.6094E-03

0.1254E+06 CRITERION

4870. NEW TRIANG MATRIX. MAX DOF INC= 0.1567E-02 1.000 SCALED MAX DOF INC = 0.1567E-02

0.2742E+05 CRITERION

4963. NEW TRIANG MATRIX. MAX DOF INC= 0.1974E-02 1.000 SCALED MAX DOF INC = 0.1974E-02

0.2014E+05 CRITERION

5053. NEW TRIANG MATRIX. MAX DOF INC= 0.1794E-02 1.000 SCALED MAX DOF INC = 0.1794E-02

0.1529E+05 CRITERION

5138. NEW TRIANG MATRIX. MAX DOF INC= 0.5897E-02 1.000 SCALED MAX DOF INC = 0.5897E-02

0.3377E-01 CRITERION

5189. <<< CONVERGED >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 16

      • ELEMENT RESULT CALCULATION TIMES TYPE NUMBER ENAME TOTAL CP AVE CP 1

6602 2 1870 4 170 5 170 SOLID45 SOLID45 TARGE170 CONTA174 1.763 0. 651 0.010 0.080 0.000267 0.000348 0.000059 0.000472 AVE CP NODAL LOAD CALCULATION TIMES TYPE NUMBER ENAME TOTAL CP 1 6602 SOLID45 0.120 0.000018 2 1870 SOLID45 0.050 0.000027 4 170 TARGE170 0.000 0.000000 5 170 CONTA174 0.000 0.000000

      • LOAD STEP 1

SUBSTEP 1 COMPLETED. TIME = 1.00000 TIME INC = 1.00000 CUM ITER = 16

F I ENERCON SERVICES INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 Sheet 15 of 55

      • ANSYS BINARY FILE STATISTICS BUFFER SIZE USED= 16384 45.062 MB WRITTEN ON ELEMENT SAVED DATA FILE: PAD-TH.esav 8.188 MB WRITTEN ON ASSEMBLED MATRIX FILE: PAD-TH.full 19.750 MB WRITTEN ON RESULTS FILE: PAD-TH.rst ESEL FOR LABEL= TYPE FROM 2 TO 2 BY 1

1870 ELEMENTS (OF 8812 DEFINED) SELECTED BY ESEL COMMAND. SET MATERIAL OF SELECTED ELEMENTS TO 3 8812 ELEMENTS (OF 8812 DEFINED) SELECTED BY EALL COMMAND. LIST ALL SELECTED ELEMENTS IN RANGE 530 TO 530 STEP I 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 16:56:35 JUN 10, 2002 CP= DELTA T 0.0 TO 0.25 DAYS 343.404 ELEM MAT TYP REL ESY SEC TSHA NODES 530 3 2 1 0 1 1 28 29 3 672 1050 1064 728 ANSYS RELEASE 6.1 UP20020321 16:47:47 06/10/2002 PRINTOUT RESUMED BY /GOP Load step file number 2. Begin solution... ANSYS SOLVE COMMAND *****

      • NOTE ***

CP= 344.646 TIME= 16:56:37 Present time 0 is less than or equal to the previous time. Time will default to 2. NOTE *** CP= 344.646 TIME= 16:56:37 Nonlinear analysis, NROPT set to the FULL Newton-Raphson solution procedure for ALL DOFs. SOLCONTROLON uses sparse matrix direct solver 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 16:56:37 JUN 10, 2002 CP= DELTA T 0.25 TO 0.50 DAYS 344.786 L O A D S T E P O P T I O N S

F ENERCON V I SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 Sheet 16 of 55 LOAD STEP NUMBER.. TIME AT END OF THE LOAD STEP.. AUTOMATIC TIME STEPPING. INITIAL NUMBER OF SUBSTEPS. MAXIMUM NUMBER OF SUBSTEPS. MINIMUM NUMBER OF SUBSTEPS. MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS. STEP CHANGE BOUNDARY CONDITIONS. TERMINATE ANALYSIS IF NOT CONVERGED.. CONVERGENCE CONTROLS.. INERTIA LOADS X ACEL.. 0.0000 PRINT OUTPUT CONTROLS. DATABASE OUTPUT CONTROLS.. 2 2.0000 ON 1000 NO .YES (EXIT) . USE DEFAULTS Y z 0.10000E-01 0.0000 NO PRINTOUT .ALL DATA WRITTEN FOR THE LAST SUBSTEP NONLINEAR MONITORING INFO IS WRITTEN TO FILE= PAD-TH.mntr MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS HAS BEEN MODIFIED TO BE, NEQIT = 26, BY SOLUTION CONTROL LOGIC. FORCE CONVERGENCE VALUE EQUIL ITER 1 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 2 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 3 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 4 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 5 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 6 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 7 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE = 0.3698E+07 CRITERION= 0.1935E+05 NEW TRIANG MATRIX. MAX DOF INC= 0.1099 1.000 SCALED MAX DOF INC = 0.1099

0.1765E+06 CRITERION

4420. NEW TRIANG MATRIX. MAX DOF INC= 0.1231 1.000 SCALED MAX DOF INC = 0.1231

0.1096E+07 CRITERION

3999. NEW TRIANG MATRIX. MAX DOF INC= 0.2059E-01 0.4326 SCALED MAX DOF INC = 0.8907E-02

0.1938E+07 CRITERION

4052. NEW TRIANG MATRIX. MAX DOF INC= 0.1197E-01 1.000 SCALED MAX DOF INC = 0.1197E-01

0.5270E+06 CRITERION

4099. NEW TRIANG MATRIX. MAX DOF INC= 0.5671E-01 1.000 SCALED MAX DOF INC = 0.5671E-01

0.4011E+06 CRITERION

4066. NEW TRIANG MATRIX. MAX DOF INC= 0.3222E-01 1.000 SCALED MAX DOF INC = 0.3222E-01

0.2222E+06 CRITERION

4099. NEW TRIANG MATRIX. MAX DOF INC= 0.1427E-01 1.000 SCALED MAX DOF INC = 0.1427E-01

0.2244E-04 CRITERION

4167. <<< CONVERGED >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 7

      • LOAD STEP 2

SUBSTEP 1 COMPLETED. CUM ITER =

      • TIME =

2.00000 TIME INC = 1.00000 23 ESEL FOR LABEL= TYPE FROM 2 TO 2 BY 1 1870 ELEMENTS (OF 8812 DEFINED) SELECTED BY ESEL COMMAND. SET MATERIAL OF SELECTED ELEMENTS TO 4 8812 ELEMENTS (OF 8812 DEFINED) SELECTED BY EALL COMMAND. LIST ALL SELECTED ELEMENTS IN RANGE 1 530 TO 530 STEP 1

F CI ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 16:59:46 JUN 10, 2002 CP= Sheet 17 of 55 485. 618 DELTA T 0.25 TO 0.50 DAYS ELEM MAT TYP REL ESY SEC TSHA NODES 530 4 2 ANSYS RELEASE 6.1 1 0 1 UP20020321 1 28 29 3 672 1050 16:47:47 06/10/2002 1064 728 PRINTOUT RESUMED BY /GOP Load step file number 3. Begin solution.. ANSYS SOLVE

      • NOTE ***

COMMAND CP= 486.850 TIME= 16:59:47 Present time 0 is less than or equal to the previous time. Time will default to 3.

      • NOTE ***

CP= 486.860 TIME= 16:59:47 Nonlinear analysis, NROPT set to the FULL Newton-Raphson solution procedure for ALL DOFs. SOLCONTROL,ON uses sparse matrix direct solver 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 16:59:47 JUN 10, 2002 CP= 487. 010 DELTA T 0.50 TO 0.625 DAYS L O A D S T E P O P T I O N S LOAD STEP NUMBER................ 3 TIME AT END OF THE LOAD STEP.......... 3.0000 AUTOMATIC TIME STEPPING............ ON INITIAL NUMBER OF SUBSTEPS......... 1 MAXIMUM NUMBER OF SUBSTEPS. 1000 MINIMUM NUMBER OF SUBSTEPS. 1 MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS.... 15 STEP CHANGE BOUNDARY CONDITIONS. NO TERMINATE ANALYSIS IF NOT CONVERGED..... YES (EXIT) CONVERGENCE CONTROLS..............USE DEFAULTS INERTIA LOADS X Y Z ACEL............ 0.0000 0.100OOE-01 0.0000 PRINT OUTPUT CONTROLS.............NO PRINTOUT DATABASE OUTPUT CONTROLS.. ... ALL DATA WRITTEN FOR THE LAST SUBSTEP NONLINEAR MONITORING INFO IS WRITTEN TO FILE= PAD-TH.mntr

FhSheet 18 of 55 F-LU ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS HAS BEEN MODIFIED TO BE, NEQIT = 26, BY SOLUTION CONTROL LOGIC. FORCE CONVERGENCE VALUE = 0.4663E+07 CRITERION= 0.2412E+05 EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.1954 LINE SEARCH PARAMETER = 1.000 SCALED MAX DOF INC = -0.1954 FORCE CONVERGENCE VALUE = 0.8838 CRITERION= 1531. <<< CONVERGED >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 1 LOAD STEP 3 SUBSTEP 1 COMPLETED. CUM ITER = 24 TIME = 3.00000 TIME INC = 1.00000 ESEL FOR LABEL= TYPE FROM 2 TO 2 BY 1 1870 ELEMENTS (OF 8812 DEFINED) SELECTED BY ESEL COMMAND. SET MATERIAL OF SELECTED ELEMENTS TO 5 8812 ELEMENTS (OF 8812 DEFINED) SELECTED BY EALL COMMAND. LIST ALL SELECTED ELEMENTS IN RANGE 530 TO 530 STEP 1 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:00:37 JUN 10, 2002 CP= DELTA T 0.50 TO 0.625 DAYS 515.141 ELEM MAT TYP REL ESY SEC TSHA NODES 530 5 2 1 0 1 1 28 29 3 672 1050 1 ANSYS RELEASE 6.1 UP20020321 16:47:47 06/10/2002 PRINTOUT RESUMED BY /GOP Load step file number 4. Begin solution... ANSYS SOLVE COMMAND

      • NOTE ***

CP= 516.403 TIME= 17:00:38 Present time 0 is less than or equal to the previous time. Time will default to 4.

      • NOTE ***

CP= 516.403 TIME= 17:00:38 Nonlinear analysis, NROPT set to the FULL Newton-Raphson solution procedure for ALL DOFs. SOLCONTROL,ON uses sparse matrix direct solver 1 ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:00:39 JUN 10, 2002 CP= 5 DELTA T 0.625 TO 1.125 DAYS 064

16. 593 728

FE ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 L O A D S T E P O P T I O N S Sheet 19 of 55 LOAD STEP NUMBER............. TIME AT END OF THE LOAD STEP....... AUTOMATIC TIME STEPPING......... INITIAL NUMBER OF SUBSTEPS...... MAXIMUM NUMBER OF SUBSTEPS...... MINIMUM NUMBER OF SUBSTEPS...... MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS. STEP CHANGE BOUNDARY CONDITIONS..... TERMINATE ANALYSIS IF NOT CONVERGED... CONVERGENCE CONTROLS........... INERTIA LOADS X ACEL............ 0.0000 PRINT OUTPUT CONTROLS.......... DATABASE OUTPUT CONTROLS......... 4 4.0000 ON 1 1000 1 15 NO ...YES (EXIT) ...USE DEFAULTS Y z 0.10000E-01 0.0000 ...NO PRINTOUT . ALL DATA WRITTEN FOR THE LAST SUBSTEP NONLINEAR MONITORING INFO IS WRITTEN TO FILE= PAD-TH.mntr MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS HAS BEEN MODIFIED TO BE, NEQIT = 26, BY SOLUTION CONTROL LOGIC. FORCE CONVERGENCE VALUE = 0.6213E+07 CRITERION= 0.3175E+05 EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.5309E-01 LINE SEARCH PARAMETER = 1.000 SCALED MAX DOF INC = -0.5309E-01 FORCE CONVERGENCE VALUE

0.6322 CRITERION

5058. <<< CONVERGED >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 1 LOAD STEP 4 SUBSTEP 1 COMPLETED. CUM ITER = 25 TIME = 4.00000 TIME INC = 1.00000 ESEL FOR LABEL= TYPE FROM 2 TO 2 BY 1 1870 ELEMENTS (OF 8812 DEFINED) SELECTED BY ESEL COMMAND. SET MATERIAL OF SELECTED ELEMENTS TO 6 8812 ELEMENTS (OF 8812 DEFINED) SELECTED BY EALL COMMAND. LIST ALL SELECTED ELEMENTS IN RANGE 1 530 TO 530 STEP 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:01:28 JUN 10, 2002 CP= DELTA T 0.625 TO 1.125 DAYS 544.403 ELEM MAT TYP REL ESY SEC TSHA NODES 530 6 2 1 ANSYS RELEASE 6.1 0 1 UP20020321 1 28 29 3 672 1050 1064 16:47:48 06/10/2002 728 PRINTOUT RESUMED BY /GOP

F ENERCON .I" SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 Load step file number 5. Begin solution... Sheet 20 of 55 ANSYS SOLVE NOTE *** COMMAND CP= 545.635 TIME= 17:01:30 Present time 0 is less than or equal to the previous time. Time will default to 5.

      • NOTE ***

CP= 545.635 TIME= 17:01:30 Nonlinear analysis, NROPT set to the FULL Newton-Raphson solution procedure for ALL DOFs. SOLCONTROL,ON uses sparse matrix direct solver 1

          • ANSYS ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:01:30 JUN 10, 2002 CP=

545.835 DELTA T 1.125 TO 1.625 DAYS L O A D S T E P O P T I O N S LOAD STEP NUMBER. TIME AT END OF THE LOAD STEP. AUTOMATIC TIME STEPPING. INITIAL NUMBER OF SUBSTEPS MAXIMUM NUMBER OF SUBSTEPS MINIMUM NUMBER OF SUBSTEPS MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS. STEP CHANGE BOUNDARY CONDITIONS TERMINATE ANALYSIS IF NOT CONVERGED... CONVERGENCE CONTROLS........... INERTIA LOADS X ACEL 0.0000 PRINT OUTPUT CONTROLS DATABASE OUTPUT CONTROLS. 5 5 5.0000 ON I 1000 1 15 NO ...YES (EXIT) USE DEFAULTS Y Z 0.100OOE-01 0.0000 ..NO PRINTOUT .ALL DATA WRITTEN FOR THE LAST SUBSTEP NONLINEAR MONITORING INFO IS WRITTEN TO FILE= PAD-TH.mntr MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS HAS BEEN MODIFIED TO BE, NEQIT = 26, BY SOLUTION CONTROL LOGIC. FORCE CONVERGENCE VALUE EQUIL ITER 1 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 2 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 3 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 4 COMPLETED. LINE SEARCH PARAMETER = = 0.4293E+07 CRITERION= 0.2265E+05 NEW TRIANG MATRIX. MAX DOF INC= -0.1210 0.5074E-01 SCALED MAX DOF INC = -0.6139E-02

0.4075E+07 CRITERION

3196. NEW TRIANG MATRIX. MAX DOF INC= -0.1149 0.5070E-01 SCALED MAX DOF INC = -0.5823E-02

0.3869E+07 CRITERION

3173. NEW TRIANG MATRIX. MAX DOF INC= -0.1090 0.5067E-01 SCALED MAX DOF INC = -0.5524E-02

0.3673E+07 CRITERION

3156. NEW TRIANG MATRIX. MAX DOF INC= -0.1035 0.5063E-01 SCALED MAX DOF INC = -0.5241E-02

FC ENERCON 7 SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 Sheet 21 of 55 FORCE CONVERGENCE VALUE EQUIL ITER 5 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 6 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 7 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 8 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 9 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 10 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 11 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 12 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 13 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 14 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 15 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 16 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 17 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 18 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 19 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 20 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 21 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 22 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 23 COMPLETED. LINE SEARCH PARAMETER = 0.3487E+07 CRITERION= 3146. NEW TRIANG MATRIX. MAX DOF INC= -0.9827E-01 0.5060E-01 SCALED MAX DOF INC = -0.4972E-02

0.3310E+07 CRITERION

3143. NEW TRIANG MATRIX. MAX DOF INC= -0.9330E-01 0.5057E-01 SCALED MAX DOF INC = -0.4718E-02

0.3143E+07 CRITERION

3145. NEW TRIANG MATRIX. MAX DOF INC= -0.8858E-01 0.5054E-01 SCALED MAX DOF INC = -0.4477E-02

0.2984E+07 CRITERION

3154. NEW TRIANG MATRIX. MAX DOF INC= -0.8410E-01 0.5051E-01 SCALED MAX DOF INC = -0.4248E-02 = 0.2833E+07 CRITERION= 3169. NEW TRIANG MATRIX. MAX DOF INC= -0.7985E-01 0.5049E-01 SCALED MAX DOF INC = -0.4032E-02 0.2690E+07 CRITERION= 3189. NEW TRIANG MATRIX. MAX DOF INC= -0.7582E-01 0.5046E-01 SCALED MAX DOF INC = -0.3826E-02

0.2555E+07 CRITERION

3215. NEW TRIANG MATRIX. MAX DOF INC= -0.7200E-01 0.5044E-01 SCALED MAX DOF INC = -0.3631E-02

0.2426E+07 CRITERION

3246. NEW TRIANG MATRIX. MAX DOF INC= -0.6836E-01 0.5042E-01 SCALED MAX DOF INC = -0.3447E-02 0.2303E+07 CRITERION= 3282. NEW TRIANG MATRIX. MAX DOF INC= -0.6492E-01 0.5040E-01 SCALED MAX DOF INC = -0.3272E-02 = 0.2187E+07 CRITERION= 3322. NEW TRIANG MATRIX. MAX DOF INC= -0.6165E-01 0.5038E-01 SCALED MAX DOF INC = -0.3105E-02

0.2077E+07 CRITERION

3368. NEW TRIANG MATRIX. MAX DOF INC= -0.5854E-01 0.5036E-01 SCALED MAX DOF INC = -0.2948E-02

0.1973E+07 CRITERION

3417. NEW TRIANG MATRIX. MAX DOF INC= -0.5559E-01 0.5034E-01 SCALED MAX DOF INC = -0.2798E-02

0.1873E+07 CRITERION

3471. NEW TRIANG MATRIX. MAX DOF INC= -0.5279E-01 0.5032E-01 SCALED MAX DOF INC = -0.2657E-02

0.1779E+07 CRITERION

3529. NEW TRIANG MATRIX. MAX DOF INC= -0.5014E-01 0.5031E-01 SCALED MAX DOF INC = -0.2522E-02

0.1690E+07 CRITERION

3591. NEW TRIANG MATRIX. MAX DOF INC= -0.4761E-01 0.5029E-01 SCALED MAX DOF INC = -0.2395E-02 = 0.1605E+07 CRITERION= 3656. NEW TRIANG MATRIX. MAX DOF INC= -0.4522E-01 0.5028E-01 SCALED MAX DOF INC = -0.2274E-02 0.1524E+07 CRITERION= 3725. NEW TRIANG MATRIX. MAX DOF INC= -0.4295E-01 0.5026E-01 SCALED MAX DOF INC = -0.2159E-02 = 0.1447E+07 CRITERION= 3797. NEW TRIANG MATRIX. MAX DOF INC= -0.4079E-01 0.5025E-01 SCALED MAX DOF INC = -0.2050E-02 = 0.1375E+07 CRITERION= 3873. NEW TRIANG MATRIX. MAX DOF INC= -0.3874E-01 0.5024E-01 SCALED MAX DOF INC = -0.1946E-02

ENERCON E SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 Sheet 22 of 55 FORCE CONVERGENCE VALUE EQUIL ITER 24 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 25 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 26 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE >>> SOLUTION NOT CONVERGE1 LOAD STEP 5 SUBSTEI BEGIN BISECTION NUMBER 0.1307E+07 CRITERION= 3951. NEW TRIANG MATRIX. MAX DOF INC= -0.3436E-01 0.5029E-01 SCALED MAX DOF INC = -0.1728E-02 0.1243E+07 CRITERION= 4033. NEW TRIANG MATRIX. MAX DOF INC= -0.3206E-01 0.5029E-01 SCALED MAX DOF INC = -0.1613E-02 0.1181E+07 CRITERION= 4035. NEW TRIANG MATRIX. MAX DOF INC= -0.3045E-01 0.5028E-01 SCALED MAX DOF INC = -0.1531E-02

0.1123E+07 CRITERION

4037. D AFTER 26 EQUILIBRIUM ITERATIONS 1 NOT COMPLETED. CUM ITER = L NEW TIME INCREMENT= 0.50000 51 FORCE CONVERGENCE VALUE = 0.2149E+07 CRITERION= 0.1238E+05 EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.6246E-01 LINE SEARCH PARAMETER = 1.000 SCALED MAX DOF INC = -0.6246E-01 FORCE CONVERGENCE VALUE = 0.4572E-04 CRITERION= 4282. <<< CONVERGED >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 1 LOAD STEP 5 SUBSTEP 1 COMPLETED. CUM ITER = 52

      • TIME =

4.50000 TIME INC = 0.500000 AUTO STEP TIME: NEXT TIME INC = 0.50000 UNCHANGED FORCE CONVERGENCE VALUE EQUIL ITER 1 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 2 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 3 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 4 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 5 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 6 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 7 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 8 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 9 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 10 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 11 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE = 0.7410E+09 CRITERION= 0.1203E+05 NEW TRIANG MATRIX. MAX DOF INC= 0.2448E-01 1.000 SCALED MAX DOF INC = 0.2448E-01 = 0.1289E+06 CRITERION= 2599. NEW TRIANG MATRIX. MAX DOF INC= 0.2088E-02 1.000 SCALED MAX DOF INC = 0.2088E-02 = 0.2623E+06 CRITERION= 2667. NEW TRIANG MATRIX. MAX DOF INC= 0.1729E-02 1.000 SCALED MAX DOF INC = 0.1729E-02 = 0.3391E+06 CRITERION= 2729. NEW TRIANG MATRIX. MAX DOF INC= 0.1367E-02 0.9879 SCALED MAX DOF INC = 0.1350E-02 = 0.3089E+06 CRITERION= 2800. NEW TRIANG MATRIX. MAX DOF INC= 0.1404E-02 1.000 SCALED MAX DOF INC = 0.1404E-02

0.2155E+06 CRITERION

2865. NEW TRIANG MATRIX. MAX DOF INC= 0.1080E-02 1.000 SCALED MAX DOF INC = 0.1080E-02

0.8170E+05 CRITERION

2936. NEW TRIANG MATRIX. MAX DOF INC= 0.1067E-02 1.000 SCALED MAX DOF INC = 0.1067E-02

0.1217E+06 CRITERION

3003. NEW TRIANG MATRIX. MAX DOF INC= 0.1207E-02 1.000 SCALED MAX DOF INC = 0.1207E-02

0.7488E+05 CRITERION

3077. NEW TRIANG MATRIX. MAX DOF INC= 0.4289E-03 1.000 SCALED MAX DOF INC = 0.4289E-03

0.9288E+05 CRITERION

3143. NEW TRIANG MATRIX. MAX DOF INC= 0.1226E-02 1.000 SCALED MAX DOF INC = 0.1226E-02 = 0.4559E+05 CRITERION= 3217. NEW TRIANG MATRIX. MAX DOF INC= 0.5802E-03 1.000 SCALED MAX DOF INC = 0.5802E-03

0.8540E+05 CRITERION

3285.

F.: i-i ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 Sheet 23 of 55 EQUIL ITER 12 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 13 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 14 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 15 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 16 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 17 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 18 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 19 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE NEW TRIANG MATRIX. MAX DOF INC= 0.5834E-03 1.000 SCALED MAX DOF INC = 0.5834E-03

0.3679E+05 CRITERION

3356. NEW TRIANG MATRIX. MAX DOF INC= 0.3587E-03 1.000 SCALED MAX DOF INC = 0.3587E-03

0.5743E+05 CRITERION

3425. NEW TRIANG MATRIX. MAX DOF INC= 0.4073E-03 1.000 SCALED MAX DOF INC = 0.4073E-03

0.3201E+05 CRITERION

3495. NEW TRIANG MATRIX. MAX DOF INC= 0.1592E-03 1.000 SCALED MAX DOF INC = 0.1592E-03

0.2783E+05 CRITERION

3565. NEW TRIANG MATRIX. MAX DOF INC= 0.3916E-03 1.000 SCALED MAX DOF INC = 0.3916E-03

0.2008E+05 CRITERION

3634. NEW TRIANG MATRIX. MAX DOF INC= 0.1693E-03 1.000 SCALED MAX DOF INC = 0.1693E-03 = 7903. CRITERION= 3709. NEW TRIANG MATRIX. MAX DOF INC= 0.1500E-03 1.000 SCALED MAX DOF INC = 0.1500E-03 = 5934. CRITERION= 3783. NEW TRIANG MATRIX. MAX DOF INC= 0.1575E-03 1.000 SCALED MAX DOF INC = 0.1575E-03 = 2298. CRITERION= 3860. <<< CONVERGED >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 19 LOAD STEP 5 SUBSTEP 2 COMPLETED. CUM ITER = TIME = 5.00000 TIME INC = 0.500000 71 ESEL FOR LABEL= TYPE FROM 1870 ELEMENTS (OF 2 TO 2 BY 1 3812 DEFINED) SELECTED BY ESEL COMMAND. SET MATERIAL OF SELECTED ELEMENTS TO 7 8812 ELEMENTS (OF 8812 DEF LIST ALL SELECTED ELEMENTS IN RANGE 1 FINED) SELECTED BY EALL COMMAND. 530 TO 530 STEP 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:20:58 JUN 10, 2002 CP= DELTA T 1.125 TO 1.625 DAYS 1446.770 ELEM MAT TYP REL ESY SEC TSHA NODES 530 7 2 ANSYS RELEASE 6.1 1 0 1 UP20020321 1 28 29 3 672 1050 1064 16:47:48 06/10/2002 728 PRINTOUT RESUMED BY /GOP Load step file number 6. Begin solution... ANSYS SOLVE COMMAND *****

F - tENERCON E 1 SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 NOTE *** CP= 1448.002 TIME= 17:21:00 Present time 0 is less than or equal to the previous time. Time will default to 6. NOTE *** CP= 1448.002 TIME= 17:21:00 Nonlinear analysis, NROPT set to the FULL Newton-Raphson solution procedure for ALL DOFs. SOLCONTROL,ON uses sparse matrix direct solver Sheet 24 of 55 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:21:00 JUN 10, 2002 CP= 1448. 243 DELTA T 1.625 TO 2.125 DAYS L O A D S T E P O P T I O N S LOAD STEP NUMBER............ TIME AT END OF THE LOAD STEP...... AUTOMATIC TIME STEPPING.......... INITIAL NUMBER OF SUBSTEPS....... MAXIMUM NUMBER OF SUBSTEPS..... MINIMUM NUMBER OF SUBSTEPS....... MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS. STEP CHANGE BOUNDARY CONDITIONS...... TERMINATE ANALYSIS IF NOT CONVERGED. CONVERGENCE CONTROLS..... INERTIA LOADS X ACEL............ 0.0000 PRINT OUTPUT CONTROLS........... DATABASE OUTPUT CONTROLS.......... 6 6.0000 ON 1 1000 1 15 NO YES (EXIT) USE DEFAULTS Y Z 0.100OOE-01 0.0000 NO PRINTOUT ALL DATA WRITTEN FOR THE LAST SUBSTEP NONLINEAR MONITORING INFO IS WRITTEN TO FILE= PAD-TH.mntr MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS HAS BEEN MODIFIED TO BE, NEQIT = 26, BY SOLUTION CONTROL LOGIC. FORCE CONVERGENCE VALUE EQUIL ITER 1 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 2 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 3 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 4 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 5 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE = 0.2462E+07 CRITERION= 0.1289E+05 NEW TRIANG MATRIX. MAX DOF INC= 0.2759E-01 0.9949 SCALED MAX DOF INC = 0.2745E-01

0.9228E+06 CRITERION

1367. NEW TRIANG MATRIX. MAX DOF INC= 0.1158E-02 1.000 SCALED MAX DOF INC = 0.1158E-02

0.5910E+05 CRITERION

1395. NEW TRIANG MATRIX. MAX DOF INC= 0.1424E-02 1.000 SCALED MAX DOF INC = 0.1424E-02

0.7264E+05 CRITERION

1418. NEW TRIANG MATRIX. MAX DOF INC= 0.9024E-03 1.000 SCALED MAX DOF INC = 0.9024E-03

0.3472E+05 CRITERION

1445. NEW TRIANG MATRIX. MAX DOF INC= 0.1651E-02 1.000 SCALED MAX DOF INC = 0.1651E-02

0.3764E+05 CRITERION

1469.

F ` t, ENERCON HI SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 Sheet 25 of 55 EQUIL ITER 6 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 7 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 8 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 9 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 10 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE >>> SOLUTION CONVERGED AFP LOAD STEP 6 SUBSTEF TIME = 6.00000 ESEL FOR LABEL= TYPE FROM 1870 ELEMENTS (OF SE NEW TRIANG MATRIX. MAX DOF INC= 0.4908E-03 1.000 SCALED MAX DOF INC = 0.4908E-03

0.1974E+05 CRITERION

1494. NEW TRIANG MATRIX. MAX DOF INC= 0.2077E-03 1.000 SCALED MAX DOF INC = 0.2077E-03

0.3068E+05 CRITERION

1522. NEW TRIANG MATRIX. MAX DOF INC= 0.2244E-03 1.000 SCALED MAX DOF INC = 0.2244E-03 = 8068. CRITERION= 1549. NEW TRIANG MATRIX. MAX DOF INC= 0.7462E-04 1.000 SCALED MAX DOF INC = 0.7462E-04 = 7216. CRITERION= 1580. NEW TRIANG MATRIX. MAX DOF INC= 0.5422E-04 1.000 SCALED MAX DOF INC = 0.5422E-04 = 866.9 CRITERION= 1612. <<< CONVERGED 'ER TI] 312 EQUILIBRIUM ITERATION 10 1 COMPLETED. CUM ITER = AE INC = 1.00000 81 2 TO 2 BY 1 DEFINED) SELECTED BY ESEL COMMAND. SET MATERIAL OF SELECTED ELEMENTS TO 8 8812 ELEMENTS (OF 8812 DE1 LIST ALL SELECTED ELEMENTS IN RANGE 1 'INED) SELECTED BY EALL COMMAND. 530 TO 530 STEP 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:25:31 JUN 10, 2002 CP= DELTA T 1.625 TO 2.125 DAYS 1654.369 ELEM MAT TYP REL ESY SEC TSHA NODES 530 8 2 1 ANSYS RELEASE 6.1 0 1 UP20020321 1 28 29 3 672 1050 1064 728 16:47:48 06/10/2002 PRINTOUT RESUMED BY /GOP Load step file number 7. Begin solution... ANSYS SOLVE COMMAND NOTE *** CP= 1655.631 TIME= 17:25:32 Present time 0 is less than or equal to the previous time. Time will default to 7.

      • NOTE ***

CP= 1655.631 TIME= 17:25:32 Nonlinear analysis, NROPT set to the FULL Newton-Raphson solution procedure for ALL DOFs. SOLCONTROL,ON uses sparse matrix direct solver

ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:25:32 JUN 10, 2002 CP= Sheet 26 of 55 1655. 881 DELTA T 2.125 TO 2.375 DAYS L O A D S T E P O P T I O N S LOAD STEP NUMBER... TIME AT END OF THE LOAD STEP....... AUTOMATIC TIME STEPPING......... INITIAL NUMBER OF SUBSTEPS...... MAXIMUM NUMBER OF SUBSTEPS. MINIMUM NUMBER OF SUBSTEPS...... MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS. STEP CHANGE BOUNDARY CONDITIONS..... TERMINATE ANALYSIS IF NOT CONVERGED... CONVERGENCE CONTROLS........... INERTIA LOADS X ACEL....... 0.0000 PRINT OUTPUT CONTROLS.......... DATABASE OUTPUT CONTROLS......... 7 7.0000

  • ON ON 1000 100 1

15 NO ...YES (EXIT) USE DEFAULTS Y Z 0.10000E-01 0.0000 ...NO PRINTOUT ALL DATA WRITTEN FOR THE LAST SUBSTEP NONLINEAR MONITORING INFO IS WRITTEN TO FILE= PAD-TH.mntr MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS HAS BEEN MODIFIED TO BE, NEQIT = 26, BY SOLUTION CONTROL LOGIC. FORCE CONVERGENCE VALUE EQUIL ITER 1 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 2 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 3 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 4 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 5 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE

0.1711E+07 CRITERION

8833. NEW TRIANG MATRIX. MAX DOF INC= -0.2557E-01 0.9946 SCALED MAX DOF INC = -0.2543E-01

0.2740E+06 CRITERION

495.3 NEW TRIANG MATRIX. MAX DOF INC= -0.1640E-03 1.000 SCALED MAX DOF INC = -0.1640E-03 = 0.1375E+05 CRITERION= 507.4 NEW TRIANG MATRIX. MAX DOF INC= 0.7619E-04 1.000 SCALED MAX DOF INC = 0.7619E-04 = 5821. CRITERION= 516.8 NEW TRIANG MATRIX. MAX DOF INC= 0.3730E-04 1.000 SCALED MAX DOF INC = 0.3730E-04 = 1485. CRITERION= 526.7 NEW TRIANG MATRIX. MAX DOF INC= 0.4652E-05 1.000 SCALED MAX DOF INC = 0.4652E-05 = 0.1407E-03 CRITERION= 537.4 <<< CONVERGED >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 5

      • LOAD STEP 7

SUBSTEP 1 COMPLETED. CUM ITER =

      • TIME =

7.00000 TIME INC = 1.00000 86 ESEL FOR LABEL= TYPE FROM 1870 ELEMENTS (OF 2 TO 2 BY 1 3812 DEFINED) SELECTED BY ESEL COMMAND. SET MATERIAL OF SELECTED ELEMENTS TO 9

F ENERCON I SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 Sheet 27 of 55 8812 ELEMENTS (OF 8812 DEE LIST ALL SELECTED ELEMENTS IN RANGE 1 TINED) SELECTED BY EALL COMMAND. 530 TO 530 STEP 1 17 65. 889

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:28:06 JUN 10, 2002 CP= DELTA T 2.125 TO 2.375 DAYS ELEM MAT TYP REL ESY SEC TSHA NODES 530 9 2 ANSYS RELEASE 6.1 1 0 1 UP20020321 1 28 29 3 672 1050 1064 16:47:48 06/10/2002 728 PRINTOUT RESUMED BY /GOP Load step file number 8. Begin solution.. ANSYS SOLVE COMMAND

      • NOTE ***

CP= 1767.131 TIME= 17:28:07 Present time 0 is less than or equal to the previous time. Time will default to 8. NOTE *** CP= 1767.131 TIME= 17:28:07 Nonlinear analysis, NROPT set to the FULL Newton-Raphson solution procedure for ALL DOFs. SOLCONTROL,ON uses sparse matrix direct solver 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:28:08 JUN 10, 2002 CP= 1767.421 DELTA T 2.375 TO 3.125 DAYS L O A D S T E P O P T I O N S LOAD STEP NUMBER................ 8 TIME AT END OF THE LOAD STEP.......... 8.0000 AUTOMATIC TIME STEPPING............ ON INITIAL NUMBER OF SUBSTEPS......... 1 MAXIMUM NUMBER OF SUBSTEPS......... 1000 MINIMUM NUMBER OF SUBSTEPS........ 1 MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS.... 15 STEP CHANGE BOUNDARY CONDITIONS........ NO TERMINATE ANALYSIS IF NOT CONVERGED......YES (EXIT) CONVERGENCE CONTROLS..............USE DEFAULTS INERTIA LOADS X Y Z ACEI...... 0.0000 0.10000E-01 0.0000 PRINT OUTPUT CONTROLS.. ...........NO PRINTOUT

Fi 8 ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 DATABASE OUTPUT CONTROLS.. .ALL DATA WRITTEN FOR THE LAST SUBSTEP NONLINEAR MONITORING INFO IS WRITTEN TO FILE= PAD-TH.mntr MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS HAS BEEN MODIFIED TO BE, NEQIT = 26, BY SOLUTION CONTROL LOGIC. Sheet 28 of 55 FORCE CONVERGENCE VALUE

0.1434E+07 CRITERION

7332. EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.5927E-01 LINE SEARCH PARAMETER = 1.000 SCALED MAX DOF INC = 0.5927E-01 FORCE CONVERGENCE VALUE

0.2973E+05 CRITERION

1353. EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.2397E-03 LINE SEARCH PARAMETER = 1.000 SCALED MAX DOF INC = 0.2397E-03 FORCE CONVERGENCE VALUE

0.3235E+05 CRITERION

1379. EQUIL ITER 3 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.2445E-03 LINE SEARCH PARAMETER = 1.000 SCALED MAX DOF INC = 0.2445E-03 FORCE CONVERGENCE VALUE

0.1612E+05 CRITERION

1405. EQUIL ITER 4 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1145E-03 LINE SEARCH PARAMETER = 1.000 SCALED MAX DOF INC = 0.1145E-03 FORCE CONVERGENCE VALUE = 3510. CRITERION= 1433. EQUIL ITER 5 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.2665E-04 LINE SEARCH PARAMETER = 1.000 SCALED MAX DOF INC = 0.2665E-04 FORCE CONVERGENCE VALUE

0.6556E-03 CRITERION

1462. <<< CONVERGED >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 5 LOAD STEP 8 SUBSTEP 1 COMPLETED. CUM ITER 91 TIME = 8.00000 TIME INC = 1.00000 ESEL FOR LABEL= TYPE FROM 2 TO 2 BY 1 1870 ELEMENTS (OF 8812 DEFINED) SELECTED BY ESEL COMMAND. SET MATERIAL OF SELECTED ELEMENTS TO 10 8812 ELEMENTS (OF 8812 DEFINED) SELECTED BY EALL COMMAND. LIST ALL SELECTED ELEMENTS IN RANGE 1 530 TO 530 STEP 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:30:32 JUN 10, 2002 CP= 1870.370 DELTA T 2.375 TO 3.125 DAYS ELEM MAT TYP REL ESY SEC TSHA NODES 530 10 2 1 0 1 ANSYS RELEASE 6.1 UP20020321 1 28 29 3 672 1050 1064 16:47:48 06/10/2002 728 PRINTOUT RESUMED BY /GOP Load step file number 9. Begin solution... ANSYS SOLVE COMMAND *****

r F ENERCON E, SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 4-1 Sheet 29 of 55

      • NOTE ***

CP= 1871.681 TIME= 17:30:35 Present time 0 is less than or equal to the previous time. Time will default to 9.

      • NOTE ***

CP= 1871.691 TIME= 17:30:35 Nonlinear analysis, NROPT set to the FULL Newton-Raphson solution procedure for ALL DOFs. SOLCONTROL,ON uses sparse matrix direct solver 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:30:35 JUN 10, 2002 CP= 1872.002 DELTA T 3.125 TO 4.125 DAYS L O A D S T E P O P T I O N S LOAD STEP NUMBER... TIME AT END OF THE LOAD STEP.. AUTOMATIC TIME STEPPING. INITIAL NUMBER OF SUBSTEPS. MAXIMUM NUMBER OF SUBSTEPS. MINIMUM NUMBER OF SUBSTEPS. MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS. STEP CHANGE BOUNDARY CONDITIONS. TERMINATE ANALYSIS IF NOT CONVERGED. CONVERGENCE CONTROLS........... INERTIA LOADS X ACEL............ 0.0000 PRINT OUTPUT CONTROLS.. DATABASE OUTPUT CONTROLS.. 9 9.0000 ON 100 1 15 NO .YES (EXIT) . USE DEFAULTS Y Z 0.10000E-01 0.0000 . NO PRINTOUT .ALL DATA WRITTEN FOR THE LAST SUBSTEP NONLINEAR MONITORING INFO IS WRITTEN TO FILE= PAD-TH.mntr MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS HAS BEEN MODIFIED TO BE, NEQIT = 26, BY SOLUTION CONTROL LOGIC. FORCE CONVERGENCE VALUE EQUIL ITER 1 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE EQUIL ITER 2 COMPLETED. LINE SEARCH PARAMETER = FORCE CONVERGENCE VALUE

0.1579E+07 CRITERION

NEW TRIANG MATRIX. MAX 1.000 SCALED MAX DOE = 5444. CRITERION= NEW TRIANG MATRIX. MAX 1.000 SCALED MAX DOE

0.7658E-03 CRITERION

8170. DOF INC= 0.3392E-01 7 INC = 0.3392E-01 2303. DOF INC= 0.5112E-04 I INC = 0.5112E-04 2350. <<< CONVERGED >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 2

      • LOAD STEP 9

SUBSTEP 1 COMPLETED. CUM ITER =

      • TIME =

9.00000 TIME INC = 1.00000 93 ESEL FOR LABEL= TYPE FROM 1870 ELEMENTS (OF 2 TO 2 BY 1 3812 DEFINED) SELECTED BY ESEL COMMAND. SET MATERIAL OF SELECTED ELEMENTS TO 11

F Jy ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 Sheet 30 of 55 8812 ELEMENTS (OF 8812 DE] LIST ALL SELECTED ELEMENTS IN RANGE 1 EFINED) SELECTED BY EALL COMMAND. 530 TO 530 STEP 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:31:49 JUN 10, 2002 CP= 1920.491 DELTA T 3.125 TO 4.125 DAYS ELEM MAT TYP REL ESY SEC TSHA NODES 530 11 2 1 0 1 ANSYS RELEASE 6.1 UP20020321 1 28 29 3 672 1050 1064 16:47:48 06/10/2002 728 PRINTOUT RESUMED BY /GOP Load step file number 10. Begin solution... ANSYS SOLVE COMMAND *****

      • NOTE ***

CP= 1921.853 TIME= 17:31:51 Present time 0 is less than or equal to the previous time. Time will default to 10.

      • NOTE ***

CP= 1921.853 TIME= 17:31:51 Nonlinear analysis, NROPT set to the FULL Newton-Raphson solution procedure for ALL DOFs. SOLCONTROL,ON uses sparse matrix direct solver 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:31:52 JUN 10, 2002 CP= 1922.184 DELTA T 4.125 TO 6.125 DAYS L O A D S T E P O P T I O N S LOAD STEP NUMBER................ 10 TIME AT END OF THE LOAD STEP.......... 10.000 AUTOMATIC TIME STEPPING. ON INITIAL NUMBER OF SUBSTEPS......... 1 MAXIMUM NUMBER OF SUBSTEPS......... 1000 MINIMUM NUMBER OF SUBSTEPS......... 1 MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS.... 15 STEP CHANGE BOUNDARY CONDITIONS........ NO TERMINATE ANALYSIS IF NOT CONVERGED......YES (EXIT) CONVERGENCE CONTROLS..............USE DEFAULTS INERTIA LOADS X Y Z ACEL... 0.0000 0.100OOE-01 0.0000 PRINT OUTPUT CONTROLS.............NO PRINTOUT

F.< i A d ENERCON HI SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 Sheet 31 of 55 DATABASE OUTPUT CONTROLS.. ..ALL DATA WRITTEN FOR THE LAST SUBSTEP NONLINEAR MONITORING INFO IS WRITTEN TO FILE= PAD-TH.mntr MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS HAS BEEN MODIFIED TO BE, NEQIT = 26, BY SOLUTION CONTROL LOGIC. FORCE CONVERGENCE VALUE = ( EQUIL ITER 1 COMPLETED. NI LINE SEARCH PARAMETER = 1 FORCE CONVERGENCE VALUE = >>> SOLUTION CONVERGED AFTER

      • LOAD STEP 10 SUBSTEP
      • TIME =

10.0000 TI1 ESEL FOR LABEL= TYPE FROM 1870 ELEMENTS (OF 8812 D.2253E+07 CRITERION= 0.1174E+05

EW TRIANG MATRIX.

MAX DOF INC= 0.3675E-01 .000 SCALED MAX DOF INC = 0.3675E-01 69.09 CRITERION= 4270. c<< CONVERGED EQUILIBRIUM ITERATION 1 1 COMPLETED. CUM ITER = 94 MIE INC = 1.00000 2 TO 2 BY 1 DEFINED) SELECTED BY ESEL COMMAND. SET MATERIAL OF SELECTED ELEMENTS TO 12 8812 ELEMENTS (OF 8812 DE1 LIST ALL SELECTED ELEMENTS IN RANGE 1 PINED) SELECTED BY EALL COMMAND. 530 TO 530 STEP 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:32:40 JUN 10, 2002 CP= 1950.104 DELTA T 4.125 TO 6.125 DAYS ELEM MAT TYP REL ESY SEC TSHA NODES 530 12 2 ANSYS RELEASE 6.1 1 0 1 UP20020321 1 28 29 3 672 1050 1064 16:47:48 06/10/2002 728 PRINTOUT RESUMED BY /GOP Load step file number 11. Begin solution... ANSYS SOLVE

      • NOTE ***

COMMAND CP= 1951.446 TIME= 17:32:43 Present time 0 is less than or equal to the previous time. Time will default to 11.

      • NOTE ***

CP= 1951.446 TIME= 17:32:43 Nonlinear analysis, NROPT set to the FULL Newton-Raphson solution procedure for ALL DOFs. SOLCONTROL,ON uses sparse matrix direct solver 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1

F 1 ENERCON ,l X11 SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 Sheet 32 of 55 ANSYS/Mechanical L 00245050 VERSION=INTEL NT 17:32:43 JUN 10, 2002 CP= 1951.797 DELTA T 6.125 TO 7.875 DAYS L O A D S T E P O P T I O N S LOAD STEP NUMBER.. TIME AT END OF THE LOAD STEP.. AUTOMATIC TIME STEPPING. INITIAL NUMBER OF SUBSTEPS. MAXIMUM NUMBER OF SUBSTEPS. MINIMUM NUMBER OF SUBSTEPS. MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS. STEP CHANGE BOUNDARY CONDITIONS.. TERMINATE ANALYSIS IF NOT CONVERGED. CONVERGENCE CONTROLS.. INERTIA LOADS X ACEL. 0.0000 PRINT OUTPUT CONTROLS. DATABASE OUTPUT CONTROLS... ..11 11.000 ON 15 ~1000 NO NO .YES (EXIT) USE DEFAULTS Y Z 0.10000E-01 0.0000 NO PRINTOUT ALL DATA WRITTEN FOR THE LAST SUBSTEP NONLINEAR MONITORING INFO IS WRITTEN TO FILE= PAD-TH.mntr MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS HAS BEEN MODIFIED TO BE, NEQIT = 26, BY SOLUTION CONTROL LOGIC. FORCE CONVERGENCE VALUE = ( EQUIL ITER 1 COMPLETED. N] LINE SEARCH PARAMETER = 0.< FORCE CONVERGENCE VALUE = ( EQUIL ITER 2 COMPLETED. NE LINE SEARCH PARAMETER = 1 FORCE CONVERGENCE VALUE = ( EQUIL ITER 3 COMPLETED. NE LINE SEARCH PARAMETER = 1 FORCE CONVERGENCE VALUE = >>> SOLUTION CONVERGED AFTER LOAD STEP 11 SUBSTEP

    • TIME =

11.0000 TI] ESEL FOR LABEL= TYPE FROM 1870 ELEMENTS (OF 8812 ).2269E+07 CRITERION= 0.1235E+05 EW TRIANG MATRIX. MAX DOF INC= -0.7043E-01 9999 SCALED MAX DOF INC = -0.7042E-01 D.8921E+05 CRITERION= 2811. 1W TRIANG MATRIX. MAX DOF INC= -0.7337E-04 .000 SCALED MAX DOF INC = -0.7337E-04 J.1105E+05 CRITERION= 2868. SEW TRIANG MATRIX. MAX DOF INC= 0.8880E-04 .000 SCALED MAX DOF INC = 0.8880E-04 D.5739E-04 CRITERION= 2927. <<< CONVERGED EQUILIBRIUM ITERATION 3 1 COMPLETED. CUM ITER = ME INC = 1.00000 97 2 TO 2 BY 1 DEFINED) SELECTED BY ESEL COMMAND. SET MATERIAL OF SELECTED ELEMENTS TO 2 8812 ELEMENTS (OF 8812 DE: LIST ALL SELECTED ELEMENTS IN RANGE FINED) SELECTED BY EALL COMMAND. 530 TO 530 STEP 1 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:34:23 JUN 10, 2002 CP= 2020.535

F ~ 8 ENERCON p SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 Sheet 33 of 55 DELTA T 6.125 TO 7.875 DAYS ELEM MAT TYP REL ESY SEC TSHA NODES 530 2 2 1 0 1 1 28 29 3 672 1050 1064 728 FINISH SOLUTION PROCESSING

          • ROUTINE COMPLETED *****

CP = 2020.545 ALL CURRENT ANSYS DATA WRITTEN TO FILE FOR POSSIBLE RESUME FROM THIS POINT 1 NAME= PAD-TH.db

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:34:29 JUN 10, 2002 CP= 2021.026 DELTA T 6.125 TO 7.875 DAYS

          • ANSYS RESULTS INTERPRETATION (POSTl)

WARNING *** CP= 2021.026 TIME= 17:34:29 The current solution may have been produced using different model or boundary condition data than is currently stored. POSTI results may be erroneous unless you perform a new solution using the stored data.

      • NOTE ***

CP= 2021.026 TIME= 17:34:30 Reading results into the database (SET command) will update the current displacement and force boundary conditions in the database with the values from the results file for that load set. Note that any subsequent solutions will use these values unless action is taken to either SAVE the current values or not overwrite them (/EXIT,NOSAVE). PRINT HEADER DO NOT PRINT SUBTITLE(S) DO NOT PRINT LOAD STEP ID DO NOT PRINT NOTE LINE(S) PRINT COLUMN HEADER LABELS DO NOT PRINT REPORT TOTALS SUM RESULTS, SET TITLES AND WRITE LOAD CASE FILES FOR FURTHER PROCESSING COMBINE ALL RECORDS INCLUDING NON-SUMMABLE LOAD CASE 1 IS LOAD STEP FILE= PAD-TH.rst DELTA T 0.0 TO 0.25 DAYS 1 SUBSTEP 1 COMPLEX= 0

E ENERCON Wa" SERVICES, INC. Appendix RPad-TH to Sheet 34 of 55 Calculation PGE-009-CALC-006 LOAD CASE 2 IS LOAD STEP FILE= PAD-TH.rst DELTA T 0.25 TO 0.50 DAYS LOAD CASE 3 IS LOAD STEP FILE= PAD-TH.rst DELTA T 0.50 TO 0.625 DAYS 2 SUBSTEP 3 SUBSTEP 1 COMPLEX= 0 1 COMPLEX= 0 LOAD CASE 4 IS FILE= PAD-TH.rst DELTA T 0.625 TO LOAD STEP 4 SUBSTEP 1 COMPLEX= 0 1.125 DAYS LOAD CASE 5 IS FILE= PAD-TH.rst DELTA T 1.125 TO LOAD STEP 5 SUBSTEP 2 COMPLEX= 0 1.625 DAYS LOAD CASE 6 IS FILE= PAD-TH.rst DELTA T 1.625 TO LOAD STEP 6 SUBSTEP 1 COMPLEX= 0 2.125 DAYS LOAD CASE 7 IS FILE= PAD-TH.rst DELTA T 2.125 TO LOAD STEP 7 SUBSTEP 1 COMPLEX= 0 2.375 DAYS LOAD CASE 8 IS FILE= PAD-TH.rst DELTA T 2.375 TO LOAD STEP 8 SUBSTEP 1 COMPLEX= 0 3.125 DAYS LOAD CASE 9 IS FILE= PAD-TH.rst DELTA T 3.125 TO LOAD STEP 4.125 DAYS 9 SUBSTEP 1 COMPLEX= 0 LOAD CASE 10 IS FILE= PAD-TH.rst DELTA T 4.125 TO LOAD STEP 10 SUBSTEP 1 COMPLEX= 0 6.125 DAYS LOAD CASE 11 IS FILE= PAD-TH.rst DELTA T 6.125 TO LOAD STEP 11 SUBSTEP 1 COMPLEX= 0 7.875 DAYS COPY LOAD CASE 1 FROM FILE TO DATABASE

      • WARNING ***

CP= 2021.056 TIME= 17:34:30 Cumulative iteration 16 may have been solved using different model or boundary condition data than currently stored. POSTi results may be erroneous unless you RESUME from a Jobname.DB file for this substep.

E 3d ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 TITLE= PAD RESPONSE AT END OF 0.25 DAYS WRITE LOAD CASE 1 TO FILE PAD-TH.101

      • WARNING ***

CP= 2021.917 TIME= 17:34:35 Cumulative iteration 23 may have been solved using different model or boundary condition data than currently stored. POSTI results may be erroneous unless you RESUME from a Jobname.DB file for this substep. LCOPER OPERATION ADD USING LOAD CASE= 2 FACTOR= 1.0000 ABS= 0

      • NOTE ***

CP= 2022.438 TIME= 17:34:39 Load case combination data may not be correct unless viewed in the solution phase coordinate system (RSYS=SOLU). TITLE= PAD RESPONSE AT END OF 0.50 DAYS WRITE LOAD CASE 2 TO FILE PAD-TH.102

      • WARNING ***

CP= 2022.739 TIME= 17:34:39 Cumulative iteration 24 may have been solved using different model or boundary condition data than currently stored. POSTI results may be erroneous unless you RESUME from a Jobname.DB file for this substep. LCOPER OPERATION ADD USING LOAD CASE= 3 FACTOR= 1.0000 ABS= 0 TITLE= PAD RESPONSE AT END OF 0.625 DAYS WRITE LOAD CASE 3 TO FILE PAD-TH.103

      • WARNING ***

CP= 2023.590 TIME= 17:34:45 Cumulative iteration 25 may have been solved using different model or boundary condition data than currently stored. POSTI results may be erroneous unless you RESUME from a Jobname.DB file for this substep. LCOPER OPERATION ADD USING LOAD CASE= 4 FACTOR= 1.0000 ABS= 0 TITLE= PAD RESPONSE AT END OF 1.125 DAYS WRITE LOAD CASE 4 TO FILE PAD-TH.104 WARNING

  • CP=

2024.431 TIME= 17:34:50 Cumulative iteration 71 may have been solved using different model or boundary condition data than currently stored. POSTl results may be erroneous unless you RESUME from a Jobname.DB file for this substep. Sheet 35 of 55 LCOPER OPERATION ADD USING LOAD CASE= 5 FACTOR= 1.0000 ABS= 0

F^l ENERCON F ` SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 TITLE= PAD RESPONSE AT END OF 1.625 DAYS Sheet 36 of 55 WRITE LOAD CASE 5 TO FILE PAD-TH.105

      • WARNING ***

CP= 2025.292 TIME= 17:34:52 Cumulative iteration 81 may have been solved using different model or boundary condition data than currently stored. POSTl results may be erroneous unless you RESUME from a Jobname.DB file for this substep. LCOPER OPERATION ADD USING LOAD CASE= 6 FACTOR= 1.0000 ABS= 0 TITLE= PAD RESPONSE AT END OF 2.125 DAYS WRITE LOAD CASE 6 TO FILE PAD-TH.106

      • WARNING ***

CP= 2026.203 TIME= 17:34:57 Cumulative iteration 86 may have been solved using different model or boundary condition data than currently stored. POSTI results may be erroneous unless you RESUME from a Jobname.DB file for this substep. LCOPER OPERATION ADD USING LOAD CASE= 7 FACTOR= 1.0000 ABS= 0 TITLE= PAD RESPONSE AT END OF 2.375 DAYS WRITE LOAD CASE 7 TO FILE PAD-TH.107

      • WARNING ***

CP= 2027.025 TIME= 17:35:01 Cumulative iteration 91 may have been solved using different model or boundary condition data than currently stored. POSTI results may be erroneous unless you RESUME from a Jobname.DB file for this substep. LCOPER OPERATION ADD USING LOAD CASE= 8 FACTOR= 1.0000 ABS= 0 TITLE= PAD RESPONSE AT END OF 3.125 DAYS WRITE LOAD CASE 8 TO FILE PAD-TH.108

      • WARNING ***

CP= 2027.926 TIME= 17:35:05 Cumulative iteration 93 may have been solved using different model or boundary condition data than currently stored. POSTI results may be erroneous unless you RESUME from a Jobname.DB file for this substep. LCOPER OPERATION ADD USING LOAD CASE= 9 FACTOR= 1.0000 ABS= 0 TITLE= PAD RESPONSE AT END OF 4.125 DAYS WRITE LOAD CASE 9 TO FILE PAD-TH.109

F-:8]ENERCON E ~SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 WARNING *** CP= 2028.627 TIME= 17:35:09 Cumulative iteration 94 may have been solved using different model or boundary condition data than currently stored. POSTl results may be erroneous unless you RESUME from a Jobname.DB file for this substep. Sheet 37 of 55 LCOPER OPERATION ADD USING LOAD CASE= 10 FACTOR= 1.0000 ABS= 0 TITLE= PAD RESPONSE AT END OF 6.125 DAYS WRITE LOAD CASE 10 TO FILE PAD-TH.110

      • WARNING ***

CP= 2029.418 TIME= 17:35:13 Cumulative iteration 97 may have been solved using different model or boundary condition data than currently stored. POSTl results may be erroneous unless you RESUME from a Jobname.DB file for this substep. LCOPER OPERATION ADD USING LOAD CASE= 11 FACTOR= 1.0000 ABS= 0 TITLE= PAD RESPONSE AT END OF 7.875 DAYS WRITE LOAD CASE 11 TO FILE PAD-TH.lll EXIT THE ANSYS POST1 DATABASE PROCESSOR

          • ROUTINE COMPLETED *****

CP = 2030.279 print the temperatures for checking 8812 ELEMENTS (OF 10212 NODES (OF 8812 DEFINED) SELECTED BY EALL COMMAND. 10212 DEFINED) SELECTED BY NALL COMMAND. 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:35:19 JUN 10, 2002 CP= 2030.279 PAD RESPONSE AT END OF 7.875 DAYS

          • ANSYS RESULTS INTERPRETATION (POST1) *****
      • WARNING ***

CP= 2030.279 TIME= 17:35:19 The current solution may have been produced using different model or boundary condition data than is currently stored. POSTl results may be erroneous unless you perform a new solution using the stored data. PRINT HEADER DO NOT PRINT SUBTITLE(S)

Fi q ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 DO NOT PRINT LOAD STEP ID DO NOT PRINT NOTE LINE(S) PRINT COLUMN HEADER LABELS DO NOT PRINT REPORT TOTALS Sheet 38 of 55 SELECT KABS= FOR ITEM=LOC COMPONENT=X

0.

TOLERANCE= 0.100000E-05 BETWEEN 0.0000 AND 0.0000 626 NODES (OF 10212 DEFINED) SELECTED BY NSEL COMMAND. RESELECT KABS= FOR ITEM=LOC COMPONENT=Z

0.

TOLERANCE= 0.100000E-05 BETWEEN 0.0000 AND 0.0000 26 NODES (OF 10212 DEFINED) SELECTED BY NSEL COMMAND. RESELECT KABS= FOR ITEM=LOC COMPONENT=Y

0.

TOLERANCE= 0.145000E-05 BETWEEN -145.00 AND 0.0000 18 NODES (OF 10212 DEFINED) SELECTED BY NSEL COMMAND. LIST ALL SELECTED NODES. DSYS= 0 1

          • ANSYS -

ENGINEERING ANALYSIS ANSYS/Mechanical U 00245050 VERSION=INTEL NT SYSTEM RELEASE 6.1 17:35:19 JUN 10, 2002 CP= 2030.289 PAD RESPONSE AT END OF 7.875 DAYS NODE 1 16 26 27 28 61 71 72 73 74 113 123 133 146 156 169 179 180 X 0.0000 0.0000 0.0000 0.0000 0. 0000 0.0000

0. 0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0. 0000 0.0000 0.0000 0.0000 0.0000 Y

0.0000 -24.000 -18.000 -12.000 -6.0000 -84.000 -72.000 -60.000 -48.000 -36.000 -96.000 -90.000 -96.000 -108.00 -102.00 -144.00 -132.00 -120.00 z 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0 00 0 0.0000 0.0000 0.0000 0.0000 0.0000 THXY 0. 00 0.00 0.00 0. 0 0 0.00 0.00 0.00 0.00 0. 0 0 0.00 0.00 0. 0 0

0. 0 0 0. 00
0. 00 0.00 0.00 0.00 THYZ 0. 0 0 0.00 0.00 0 00 0.00 0.00
0. 00 0.00 0. 0 0 0.00 0.00
0. 0 0 0.00 0.00
0. 0 0 0.00 0.00 0.00 THZX 0. 0 0 0.00
0. 00 0. 0 0 0.00 0.00
0. 00 0.00
0. 00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 USE LOAD STEP 1
      • WARNING ***

Cumulative iteration SUBSTEP 0 FOR LOAD CASE 0 CP= 2030.289 TIME= 17:35:20 been solved using different model or 16 may have boundary condition data than currently stored. POST1 results may be erroneous unless you RESUME from a Jobname.DB file for this substep.

"'-5A' F-` 1-ENERCON P% 1 SERVICES, INC Appendix RPad-TH to Calculation PGE-009-CALC-006 Sheet 39 of 55 SET COMMAND GOT LOAD STEP= 1 TIME/FREQUENCY= 1.0000 TITLE= DELTA T 0.0 TO 0.25 DAYS SORT ON ITEM=LOC COMPONENT=Y SORT COMPLETED FOR 18 VALUES. PRINT BFE NODAL SOLUTION PER NODE ANSYS - ENGINEERING ANALYSIS ANSYS/Mechanical U 00245050 VERSION=INTEL NT DELTA T 0.0 TO 0.25 DAYS 3UBSTEP= 1 CUMULATIVE ITERATION= 16 ORDER= 0 KABS= 0 NMAX= 10212 I SYSTEM RELEASE 6.1 17:35:23 JUN 10, 2002 CP= 2030.980 NODE 1 28 27 26 16 74 73 72 71 61 123 113 133 156 146 180 179 169 BFETEMP 15.000 18.000 19.670 21.330 21.330 21.330 21.330 21.330 21.330 20.500 19.660 10.670 10.670 1.6700 0.84000 0.0000 0.0000 0.0000 USE LOAD STEP 2 SUBSTEP 0 FOR LOAD CASE 0 WARNING *** CP= 2030.980 TIME= 17:35:23 Cumulative iteration 23 may have been solved using different model or boundary condition data than currently stored. POSTi results may be erroneous unless you RESUME from a Jobname.DB file for this substep. SET COMMAND GOT LOAD STEP= 2 SUBSTEP= 1 CUMULATIVE ITERATION= TIME/FREQUENCY= 2.0000 TITLE= DELTA T 0.25 TO 0.50 DAYS SORT ON ITEM=LOC COMPONENT=Y ORDER= 0 KABS= 0 NMAX= 10212 SORT COMPLETED FOR 18 VALUES. PRINT BFE NODAL SOLUTION PER NODE 1 23

Sheet 40 of 55 F ENERCON IFS z SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:35:25 JUN 10, 2002 CP= 2031.521 DELTA T 0.25 TO 0.50 DAYS NODE BFETEMP 1 -2.5000 28 10.500 27 9.2500 26 8.0000 16 16.670 74 25.330 73 25.330 72 25.330 71 25.120 61 21.410 123 17.920 113 12.660 133 12.660 156 7.4100 146 3.9100 180 0.21000 179 0.0000 169 0.0000 USE LOAD STEP 3 SUBSTEP 0 FOR LOAD CASE 0 WARNING

  • CP=

2031.521 TIME= 17:35:25 Cumulative iteration 24 may have been solved using different model or boundary condition data than currently stored. POSTi results may be erroneous unless you RESUME from a Jobname.DB file for this substep. SET COMMAND GOT LOAD STEP= 3 SUBSTEP= 1 CUMULATIVE ITERATION= 24 TIME/FREQUENCY= 3.0000 TITLE= DELTA T 0.50 TO 0.625 DAYS SORT ON ITEM=LOC COMPONENT=Y ORDER= 0 KABS= 0 NMAX= 10212 SORT COMPLETED FOR 18 VALUES. PRINT BFE NODAL SOLUTION PER NODE 1 ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:35:27 JUN 10, 2002 CP= 2032.132 DELTA T 0.50 TO 0.625 DAYS NODE BFETEMP 1 -3.0000 28 -1.3500

27 26 16 74 73 72 71 61 123 113 133 156 146 180 179 169 Sheet 41 of 55 ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 9.3200 13.460 9.3300 9.3300 9.3300 9.3300 9.3300 9.3300 2.0400 4.6700 4.6700 7.3000 0.0000

0. 0000 0.0000 0.0000 USE LOAD STEP 4

SUBSTEP 0 FOR LOAD CASE 0

      • WARNING ***

CP= 2032.142 TIME= 17:35:27 Cumulative iteration 25 may have been solved using different model or boundary condition data than currently stored. POSTi results may be erroneous unless you RESUME from a Jobname.DB file for this substep. SET COMMAND GOT LOAD STEP= 4 SUBSTEP= TIME/FREQUENCY= 4.0000 TITLE= DELTA T 0.625 TO 1.125 DAYS 1 CUMULATIVE ITERATION= 25 SORT ON ITEM=LOC COMPONENT=Y ORDER= 0 KABS= 0 NMAX= 10212 SORT COMPLETED FOR 18 VALUES. PRINT BFE NODAL SOLUTION PER NODE 1

          • ANSYS -

ENGINEERING.ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:35:29 JUN 10, 2002 CP= 2032.763 DELTA T 0.625 TO 1.125 DAYS NODE 1 28 27 26 16 74 73 72 71 61 123 113 133 BFETEMP -5.4000 -7.4400 -8.8100 -3.1000 2.6200 15.000 20.110 20.320 17.860 11.880 11.110 10.330 10.330

ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 156 9.5500 146 8.7800 180 2.8100 179 0.35000 169 0.10000E-01 Sheet 42 of 55 USE LOAD STEP 5 SUBSTEP 0 FOR LOAD CASE 0

      • WARNING ***

CP= 2032.763 TIME= 17:35:29 Cumulative iteration 71 may have been solved using different model or boundary condition data than currently stored. POSTi results may be erroneous unless you RESUME from a Jobname.DB file for this substep. SET COMMAND GOT LOAD STEP= 5 TIME/FREQUENCY= 5.0000 TITLE= DELTA T 1.125 TO 1.625 DAYS SORT ON ITEM=LOC COMPONENT=Y SUBSTEP= 2 CUMULATIVE ITERATION= 71 ORDER= 0 KABS= 0 NMAX= 10212 SORT COMPLETED FOR 18 VALUES. PRINT BFE NODAL SOLUTION PER NODE 1

          • ANSYS -

ENGINEERING ANALYSIS ANSYS/Mechanical U 00245050 VERSION=INTEL NT SYSTEM RELEASE 6.1 17:35:29 JUN 10, 2002 CP= 2033.264 DELTA T 1.125 TO 1.625 DAYS NODE 1 28 27 26 16 74 73 72 71 61 123 113 133 156 146 180 179 169 BFETEMP -2.1000 -5.5000 -6.4600 -4.7300 -3.0000 2.2500 7.3200 8.4500 6.3200 3.7400 4.4500 5.1600 5.1600 5.8800 6.6000 3.9800 1.3800 0.25000 USE LOAD STEP 6 SUBSTEP 0 FOR LOAD CASE 0

      • WARNING ***

Cumulative iteration CP= 2033.274 TIME= 17:35:29 been solved using different model or 81 may have

'N .Sheet 43 of 55 F ^ ENERCON vI SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 boundary condition data than currently stored. POSTI results may be erroneous unless you RESUME from a Jobname.DB file for this substep. SET COMMAND GOT LOAD STEP= 6 SUBSTEP= 1 CUMULATIVE ITERATION= 81 TIME/FREQUENCY= 6.0000 TITLE= DELTA T 1.625 TO 2.125 DAYS SORT ON ITEM=LOC COMPONENT=Y ORDER= 0 KABS= 0 NMAX= 10212 SORT COMPLETED FOR 18 VALUES. PRINT BFE NODAL SOLUTION PER NODE 1 ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:35:30 JUN 10, 2002 CP= 2033.795 DELTA T 1.625 TO 2.125 DAYS NODE BFETEMP 1 -0.80000 28 -3.0600 27 -4.0600 26 -3.9600 16 -3.8700 74 -2.2200 73 0.96000 72 2.2900 71 1.5300 61 0.91000 123 1.8700 113 2.8300 133 2.8300 156 3.7800 146 4.7200 180 3.8200 179 1.9800 169 0.53000 USE LOAD STEP 7 SUBSTEP 0 FOR LOAD CASE 0

      • WARNING ***

CP= 2033.795 TIME= 17:35:30 Cumulative iteration 86 may have been solved using different model or boundary condition data than currently stored. POSTI results may be erroneous unless you RESUME from a Jobname.DB file for this substep. SET COMMAND GOT LOAD STEP= 7 SUBSTEP= 1 CUMULATIVE ITERATION= 86 TIME/FREQUENCY= 7.0000 TITLE= DELTA T 2.125 TO 2.375 DAYS SORT ON ITEM=LOC COMPONENT=Y ORDER= 0 KABS= 0 NMAX= 10212 SORT COMPLETED FOR 18 VALUES.

Sheet 44 of 55 F Es ENERCON 1 SERVICES INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 PRINT BFE NODAL SOLUTION PER NODE 1 ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:35:30 JUN 10, 2002 CP= 2034.315 DELTA T 2.125 TO 2.375 DAYS NODE BFETEMP 1 -0.20000 28 -0.94000 27 -1.2800 26 -1.4700 16 -1.6500 74 -1.5100 73 -0.54000 72 0.80000E-01 71 0.90000E-01 61 0.20000 123 0.63000 113 1.0600 133 1.0600 156 1.4600 146 1.8600 180 1.7300 179 1.0500 169 0.33000 USE LOAD STEP 8 SUBSTEP 0 FOR LOAD CASE 0

      • WARNING ***

CP= 2034.315 TIME= 17:35:30 Cumulative iteration 91 may have been solved using different model or boundary condition data than currently stored. POSTI results may be erroneous unless you RESUME from a Jobname.DB file for this substep. SET COMMAND GOT LOAD STEP= 8 SUBSTEP= 1 CUMULATIVE ITERATION= 91 TIME/FREQUENCY= 8.0000 TITLE= DELTA T 2.375 TO 3.125 DAYS SORT ON ITEM=LOC COMPONENT=Y ORDER= 0 KABS= 0 NMAX= 10212 SORT COMPLETED FOR 18 VALUES. PRINT BFE NODAL SOLUTION PER NODE 1 ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:35:31 JUN 10, 2002 CP= 2034.826 DELTA T 2.375 TO 3.125 DAYS NODE BFETEMP

F1 1 28 27 26 16 74 73 72 71 61 123 113 133 156 146 180 179 169 Sheet 45 of 55 ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 -0. 50000 -2.1300 -3.0700 -3.9000 -4.7400 -5.6000 -4.2000 -2.7200 -1.8500 -0.66000

0. 64000
1. 9400 1.9400 3.1000 4.2600 4.3900 3.0000 1.0300 USE LOAD STEP 9

SUBSTEP 0 FOR LOAD CASE 0

      • WARNING ***

CP= 2034.836 TIME= 17:35:31 Cumulative iteration 93 may have been solved using different model or boundary condition data than currently stored. POSTl results may be erroneous unless you RESUME from a Jobname.DB file for this substep. SET COMMAND GOT LOAD STEP= 9 SUBSTEP= TIME/FREQUENCY= 9.0000 TITLE= DELTA T 3.125 TO 4.125 DAYS 1 CUMULATIVE ITERATION= 93 SORT ON ITEM=LOC COMPONENT=Y ORDER= 0 KABS= 0 NMAX= 10212 SORT COMPLETED FOR 18 VALUES. PRINT BFE NODAL SOLUTION PER NODE 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:35:32 JUN 10, 2002 CP= 2035.357 DELTA T 3.125 TO 4.125 DAYS NODE 1 28 27 26 16 74 73 72 71 61 123 BFETEMP -0.30000 -2.0300 -3.1400 -4.4900 -5.8400 -8.3400 -8.3500 -7.1100 -5.3300 -2.9100 -1.1900

F tENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 113 0.54000 133 0.54000 156 1.9800 146 3.4300 180 4.1800 179 3.1900 169 1.1800 Sheet 46 of 55 USE LOAD STEP 10 SUBSTEP 0 FOR LOAD CASE 0

      • WARNING ***

CP= 2035.357 TIME= 17:35:32 Cumulative iteration 94 may have been solved using different model or boundary condition data than currently stored. POSTi results may be erroneous unless you RESUME from a Jobname.DB file for this substep. SET COMMAND GOT LOAD STEP= 10 TIME/FREQUENCY= 10.000 TITLE= DELTA T 4.125 TO 6.125 DAYS SORT ON ITEM=LOC COMPONENT=Y 3UBSTEP= 1 CUMULATIVE ITERATION= 94 ORDER= 0 KABS= 0 NMAX= 10212 SORT COMPLETED FOR 18 VALUES. PRINT BFE NODAL SOLUTION PER NODE 1

          • ANSYS -

ENGINEERING ANALYSIS ANSYS/Mechanical U 00245050 VERSION=INTEL NT SYSTEM RELEASE 6.1 17:35:32 JUN 10, 2002 CP= 2035.877 DELTA T 4.125 TO 6.125 DAYS NODE 1 28 27 26 16 74 73 72 71 61 123 113 133 156 146 180 179 169 BFETEMP 0.0000 -1.3800 -2.6100 -4.7600 -6.9100 -11.780 -13.650 -12.770 -9.8200 -5.6000 -3.3600 -1.1200 -1.1200 0.66000 2.4300 4.0600 3.5200 1.3700 USE LOAD STEP 11 SUBSTEP 0 FOR LOAD CASE 0

Sheet 47 of 55 F t ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 WARNING *** CP= 2035.877 TIME= 17:35:32 Cumulative iteration 97 may have been solved using different model or boundary condition data than currently stored. POSTl results may be erroneous unless you RESUME from a Jobname.DB file for this substep. SET COMMAND GOT LOAD STEP= 11 SUBSTEP= 1 CUMULATIVE ITERATION= 97 TIME/FREQUENCY= 11.000 TITLE= DELTA T 6.125 TO 7.875 DAYS SORT ON ITEM=LOC COMPONENT=Y ORDER= 0 KABS= 0 NMAX= 10212 SORT COMPLETED FOR 18 VALUES. PRINT BFE NODAL SOLUTION PER NODE 1 ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:35:33 JUN 10, 2002 CP= 2036.398 DELTA T 6.125 TO 7.875 DAYS NODE BFETEMP 1 0.0000 28 -0.69000 27 -1.3300 26 -2.5100 16 -3.6900 74 -6.5800 73 -8.1200 72 -8.1000 71 -6.7500 61 -4.5600 123 -3.3800 113 -2.2000 133 -2.2000 156 -1.2300 146 -0.25000 180 0.85000 179 1.0100 169 0.43000 COPY LOAD CASE 1 FROM FILE TO DATABASE SORT ON ITEM=LOC COMPONENT=Y ORDER= 0 KABS= 0 NMAX= 10212 SORT COMPLETED FOR 18 VALUES. PRINT BFE NODAL SOLUTION PER NODE 1 ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:35:34 JUN 10, 2002 CP= 2037.099 PAD RESPONSE AT END OF 0.25 DAYS

0. 11 r1v Sheet 48 of 55 ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 NODE BFETEMP 1 15.000 28 18.000 27 19.670 26 21.330 16 21.330 74 21.330 73 21.330 72 21.330 71 21.330 61 20.500 123 19.660 113 10.670 133 10.670 156 1.6700 146 0.84000 180 0.0000 179 0.0000 169 0.0000 COPY LOAD CASE 2 FROM FILE TO DATABASE SORT ON ITEM=LOC COMPONENT=Y ORDER= 0 KABS= 0 NMAX= 10212 SORT COMPLETED FOR 18 VALUES. PRINT BFE NODAL SOLUTION PER NODE 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:35:36 JUN 10, 2002 CP= 2037.830 PAD RESPONSE AT END OF 0.50 DAYS NODE BFETEMP 1 12.500 28 28.500 27 28.920 26 29.330 16 38.000 74 46.660 73 46.660 72 46.660 71 46.450 61 41.910 123 37.580 113 23.330 133 23.330 156 9.0800 146 4.7500 180 0.21000 179 0.0000 169 0.0000

Sheet 49 of 55 S tENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 COPY LOAD CASE 3 FROM FILE TO DATABASE SORT ON ITEM=LOC COMPONENT=Y ORDER= 0 KABS= 0 NMAX= 10212 SORT COMPLETED FOR 18 VALUES. PRINT BFE NODAL SOLUTION PER NODE 1 ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:35:37 JUN 10, 2002 CP= 2038.581 PAD RESPONSE AT END OF 0.625 DAYS NODE BFETEMP 1 9.5000 28 27.150 27 38.240 26 42.790 16 47.330 74 55.990 73 55.990 72 55.990 71 55.780 61 51.240 123 39.620 113 28.000 133 28.000 156 16.380 146 4.7500 180 0.21000 179 0.0000 169 0.0000 COPY LOAD CASE 4 FROM FILE TO DATABASE SORT ON ITEM=LOC COMPONENT=Y ORDER= 0 KABS= 0 NMAX= 10212 SORT COMPLETED FOR 18 VALUES. PRINT BFE NODAL SOLUTION PER NODE 1 ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:35:39 JUN 10, 2002 CP= 2039.332 PAD RESPONSE AT END OF 1.125 DAYS NODE BFETEMP 1 4.1000 28 19.710 27 29.430

Ff3c.- Sheet 50 of 55 ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 26 39.690 16 49.950 74 70.990 73 76.100 72 76.310 71 73.640 61 63.120 123 50.730 113 38.330 133 38.330 156 25.930 146 13.530 180 3.0200 179 0.35000 169 0.10000E-01 COPY LOAD CASE 5 FROM FILE TO DATABASE SORT ON ITEM=LOC COMPONENT=Y ORDER= 0 KABS= 0 NMAX= 10212 SORT COMPLETED FOR 18 VALUES. PRINT BFE NODAL SOLUTION PER NODE 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:35:40 JUN 10, 2002 CP= 2040.124 PAD RESPONSE AT END OF 1.625 DAYS NODE BFETEMP 1 2.0000 28 14.210 27 22.970 26 34.960 16 46.950 74 73.240 73 83.420 72 84.760 71 79.960 61 66.860 123 55.180 113 43.490 133 43.490 156 31.810 146 20.130 180 7.0000 179 1.7300 169 0.26000 COPY LOAD CASE 6 SORT ON ITEM=LOC SORT COMPLETED FOR FROM FILE TO DATABASE COMPONENT=Y ORDER= 0 KABS= 0 NMAX= 18 VALUES. 10212

Sheet 51 of 55 Fk I ENERCON E I SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 PRINT BFE NODAL SOLUTION PER NODE 1 ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:35:42 JUN 10, 2002 CP= 2040.935 PAD RESPONSE AT END OF 2.125 DAYS NODE BFETEMP 1 1.2000 28 11.150 27 18.910 26 31.000 16 43.080 74 71.020 73 84.380 72 87.050 71 81.490 61 67.770 123 57.050 113 46.320 133 46.320 156 35.590 146 24.850 180 10.820 179 3.7100 169 0.79000 COPY LOAD CASE 7 FROM FILE TO DATABASE SORT ON ITEM=LOC COMPONENT=Y ORDER= 0 KABS= 0 NMAX= 10212 SORT COMPLETED FOR 18 VALUES. PRINT BFE NODAL SOLUTION PER NODE 1 ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:35:43 JUN 10, 2002 CP= 2041.676 PAD RESPONSE AT END OF 2.375 DAYS NODE BFETEMP 1 1.0000 28 10.210 27 17.630 26 29.530 16 41.430 74 69.510 73 83.840 72 87.130 71 81.580

Sheet 52 of 55 F X b ENERCON I SERVICESIC EINC. Appendix RPad-TH to Calculation PGE-009-CALC-006 61 67.970 123 57.680 113 47.380 133 47.380 156 37.050 146 26.710 180 12.550 179 4.7600 169 1.1200 COPY LOAD CASE 8 FROM FILE TO DATABASE SORT ON ITEM=LOC COMPONENT=Y ORDER= 0 KABS= 0 NMAX= 10212 SORT COMPLETED FOR 18 VALUES. PRINT BFE NODAL SOLUTION PER NODE 1 ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:35:45 JUN 10, 2002 CP= 2042.467 PAD RESPONSE AT END OF 3.125 DAYS NODE BFETEMP 1 0.50000 28 8.0800 27 14.560 26 25.630 16 36.690 74 63.910 73 79.640 72 84.410 71 79.730 61 67.310 123 58.320 113 49.320 133 49.320 156 40.150 146 30.970 180 16.940 179 7.7600 169 2.1500 COPY LOAD CASE 9 FROM FILE TO DATABASE SORT ON ITEM=LOC COMPONENT=Y ORDER= 0 KABS= 0 NMAX= 10212 SORT COMPLETED FOR 18 VALUES. PRINT BFE NODAL SOLUTION PER NODE 1 ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U

F4 ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 Sheet 53 of 55 00245050 VERSION=INTEL NT 17:35:46 JUN 10, 2002 CP= 2043.138 PAD RESPONSE AT END OF 4.125 DAYS NODE 1 28 27 26 16 74 73 72 71 61 123 113 133 156 146 180 179 169 BFETEMP 0.20000 6.0500 11.420 21.140 30.850 55.570 71.290 77.300 74.400 64.400 57.130 49.860 49.860 42.130 34.400 21.120 10.950 3.3300 COPY LOAD CASE 10 FROM FILE TO DATABASE SORT ON ITEM=LOC COMPONENT=Y ORDER= 0 KABS= 0 NMAX= 10212 SORT COMPLETED FOR 18 VALUES. PRINT BFE NODAL SOLUTION PER NODE 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:35:48 JUN 10, 2002 CP= 2043.839 PAD RESPONSE AT END OF 6.125 DAYS NODE BFETEMP 1 0.20000 28 4.6700 27 8.8100 26 16.380 16 23.940 74 43.790 73 57.640 72 64.530 71 64.580 61 58.800 123 53.770 113 48.740 133 48.740 156 42.790 146 36.830

Sheet 54 of 55 ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 180 25.180 179 14.470 169 4.7000 COPY LOAD CASE 11 FROM FILE TO DATABASE SORT ON ITEM=LOC COMPONENT=Y ORDER= 0 KABS= 0 NMAX= 10212 SORT COMPLETED FOR 18 VALUES. PRINT BFE NODAL SOLUTION PER NODE 1 ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:35:49 JUN 10, 2002 CP= 2044.550 PAD RESPONSE AT END OF 7.875 DAYS NODE BFETEMP 1 0.20000 28 3.9800 27 7.4800 26 13.870 16 20.250 74 37.210 73 49.520 72 56.430 71 57.830 61 54.240 123 50.390 113 46.540 133 46.540 156 41.560 146 36.580 180 26.030 179 15.480 169 5.1300 NODE SORT REMOVED EXIT THE ANSYS POSTi DATABASE PROCESSOR

          • ROUTINE COMPLETED *****

CP = 2044.550 8812 ELEMENTS (OF 8812 DEFINED) SELECTED BY EALL COMMAND. 10212 NODES (OF 10212 DEFINED) SELECTED BY NALL COMMAND. EXIT ANSYS WITHOUT SAVING DATABASE NUMBER OF WARNING MESSAGES ENCOUNTERED= 2 6

Sheet 55 of 55 ENERCON INC. Appendix R-Pad-TH to Calculation PGE-009-CALC-006 NUMBER OF ERROR MESSAGES ENCOUNTERED= 0 ll ANSYS RUN COMPLETED Release 6.1 UP20020321 INTEL NT I---------------------------------------------------------------------------I Maximum Scratch Memory Used = 61921432 Words 236.212 MB l CP Time (sec) = 2044.560 Time

17:35:49 Elapsed Time (sec)

2792.000 Date = 06/10/2002 ll}}