ML023010123

From kanterella
Jump to navigation Jump to search

Response to NRC Request for Additional Information for Diablo Canyon Independent Spent Fuel Storage Installation Application (TAC No. L23399), Attachment 5-2
ML023010123
Person / Time
Site: Diablo Canyon  Pacific Gas & Electric icon.png
Issue date: 10/15/2002
From: Womack L
Pacific Gas & Electric Co
To:
Document Control Desk, Office of Nuclear Material Safety and Safeguards, Office of Nuclear Reactor Regulation
References
DIL-02-009, TAC L23399, FOIA/PA-2014-0372 PGE-009-CALA-006, Rev 0
Download: ML023010123 (122)


Text

-:-

j r

aT n

-X l

t

-e l

J l r

=

t 4

e t

t i m F

.q I

ts

, u I v U

q 4

3 ATTAC}IMENT -

t A x

5 2 X

C i

5

}

X

_ 4

+

' 1 b

5 4

,i i

S Q

J 9

H 3

. 1 e

4 X

DIABLO CANYON POWER PLANT INDEPENDENT SPENT FUEL STORAGE INSTALLATION CALCULATION NO. PGE-009-CALC-006, REV.0 "ISFSI CASK STORAGE PAD CONCRETE SHRINKAGE AND THERMAL STRESSES" PREPARED BY:

ENERCON SERVICES, INC.

400 Valley Road, Suite 104 Mt. Arlington, NJ 07856

I-

I;

_ Calc. No.

PGE-009-CALC-006 F-i r rSlENGINEERING CALCULATION Rev.

0 COVER SHEET ENERCON SERVICES, INC.

Sheet 1 of 55

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 CalculationisfurnishedaspartofPG&EContractNo.4600010841,ChangeOrderNo.

001 Scope Of Revision:

Initial issue.

Revision Impact On Results:

N/A in3 Safety Related

[1 Non-Safety Related E2 Preliminary Calculation Z

Final Approvals (Print Name and Sign)

Originator S.C. TUJMMINELLI Date September 20, 2002 Reviewer Verification Engineer K.L.

WETMOR Date September 20, 2002 Approver R.F. EVERS Date September 20,2002

SHEET 2 OF 55 ENGINEERING CALCULATION S-REVISION STATUS SEET ENERCON SERVICES, INC.

CALCULATION NO.

PGE-009-CALC-006 ENGINEERING CALCULATION REVISION

SUMMARY

REVISION NO.

DATE DESCRIPTION 0

9/20/02 Initial Issue CALCULATION SHEET REVISION STATUS SHEET NO.

REVISION NO.

SHEET NO.

REVISION NO.

All 0

N/A N/A 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 SH-Loads 9/20/02 RPad-TH 9/20/02 RPad-SH 9/20/02 EPad-TH 9/20/02 EPad-SH 9/20/02 DPad-TH 9/20/02 DPad-SH 9/20/02 SPad-TH 9/20/02 SPad-SH 9/20/02 FPad-TH 9/20/02 FPad-SH 9/20/02 TPad-TH 9/20/02 FTPad-SH 9/20/02 LSPad-TH 9/20/02 LCPad-TH 9/20/02 STPad-TH 9/20/02

SHEET 3

OF 55 F t_As l<,91 JOB. NO.

PGE-009 DATE September 20,2002 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 0 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.

0 ENERCON SERVICES, INC.

CALCULATION DESIGN VERIFICATION CHECKLIST Calc. No.

PGE-009-CALC-006 Rev.

0 I Page 3A of 55

Title:

CHECKLIST ITEMS YES NO N/A

1.

Design Inputs - Were the design inputs correctly selected, referenced (latest revision),

0 3 al consistent with the design basis and incorporated in the calculation?

2.

Assumptions - Were the assumptions reasonable and adequately described, justified 1

E O

and/or verified, and documented?

3.

Quality Assurance - Were the appropriate QA classification and requirements assigned 0

E E

to the calculation?

4.

Codes, Standard and Regulatory Requirements - Were the applicable codes, standards 0

E E

and regulatory requirements, including issue and addenda, properly identified and their requirements satisfied?

5.

Construction and Operating Experience - Have applicable construction and operating 0

El E

experience been considered?

6.

Interfaces - Have the design interface requirements been satisfied, including interactions 0

E E

with other calculations?

7.

Methods - Was the calculation methodology appropriate and properly applied to satisfy 0

E E

the calculation objective?

8.

Design Outputs Was the conclusion of the calculation clearly stated, did it correspond 0

E El directly with the objectives and are the results reasonable compared to the inputs?

9.

Radiation Exposure - Has the calculation properly considered radiation exposure to the El

[]

0 public and plant personnel?

10.

Acceptance Criteria -

Are the acceptance criteria incorporated in the calculation 0

El El sufficient to allow verification that the design requirements have been satisfactorily accomplished?

Comments: See reviewers comments on page 3.

(Print Name and Sign)

Reviewer: Kenneth L. W hitmnore/

G Date 09/20/02 z

(

Others:

l Date I

ENERCON SERVICES, INC.

SHEET 4

OF 55 JOB. NO.

PGE-009 DATE September 20,2002 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tumminell REVIEWER K. L. Whitmore APPROVED R. F. Evers CALCULATION NO.

PGE-009-CALC-006 REVISION 0 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 Contact Elements Material Numbers Boundary Conditions Loads and Analysis Analysis Results - Thermal Stress Analysis Pad Response - Displacements Pad Response - Stresses Pad Response - Internal Forces Analysis Results - Shrinka'ge Stress Analysis Pad Response - Displacements Pad Response - Stresses Pad Response - Internal Forces Summary and Conclusions Sheet 6

17 28 49 55

ENERCON SERVCES, INC.

SHEET 5

OF 55 JOB. NO.

PGE-009 DATE September 20, 2002 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 0 Appendices:

Thermal Stress Analysis Documentation Appendices:

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 Shrinkage Stress Analysis Documentation Appendices:

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 TH-Loads RPad-TH EPad-TH DPad-TH SPad-TH FPad-TH TPad-TH LSPad-TH LCPad-TH STPad-TH Pages 6

55 18 13 47 91 7

8 8

12 Pages 2

11 6

7 9

13 25 SH-Loads RPad-SH EPad-SH DPad-SH SPad-SH FPad-SH FTPad-SH

SHEET 6

OF 55 JOB. NO.

PGE-009 DATE September 20,2002 E

JI PROJECT DCPP ISFSI Ilu3 gS SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses "M-:

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 0 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 55 Fll 1

4JOB.

NO.

PGE-009 DATE September 20,2002 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses

  • 'te4q.^fi.¢.9 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 0 does not occur within the same time frame as the heat up due to cement hydration. Hence, the two effects can be considered separately.

Two separate analyses are performed, one for the thermal stress analysis and one for the shrinkage stress analysis. The thermal stress analysis is performed incrementally. Incremental temperatures at selected times are derived from the pad temperatures from PG&E (Reference 2). These are applied to a finite element model 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 is performed in one execution. More detail is provided below.

References 1

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.JR-96, Mass Concrete 4

ACI 207.R2-95, Effect of Restraint, Volume Change, and Reinforcement on Cracking of Mass Concrete.

Temnerature 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.

JOB. NO.

PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrix CLIENT PG&E-DCPP ORIGIs REVIEWER K. L. Whitmore APPRO CALCULATION NO.

PGE-009-CALC-006 SHEET 8

OF 55 DATE September 20,2002 ikage and Thermal Stresses NATOR VED S. C. Tumminelli R. F. Evers REVISION 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 1 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 Ternperatures 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) 0 The PG&E thermal temperature analysis (Reference 2) and, consequently, the current thermal stress analysis 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.

ENERCON SERVICES, INC.

FW E JOB. NO.

PGE-009 PROJECT DCPP ISFSI Fs r

i SUBJECT ISFSI Cask Storage Pad Concrete Shrii CLIENT PG&E-DCPP ORIGID ENERCON REVIEWER K. L. Whitmore APPRO SERVICES, INC. CALCULATION NO.

PGE-009-CALC-006 SHEET 9

OF 55 DATE September 20,2002 ikage and Thermal Stresses NATOR S. C. Tumminelli VED R. F. Evers REVISION 0 Table 2 (1/2) - Pad Temperatures Above Ambient (Degrees F) vs. Time Depth I

Time (days) 0.25 0.50 0.625 1.125 1.625

-* 4.

4 4

  • ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

15.00 18.00 19.67 21.33 21.33 21.33 21.33 21.33 21.33 20.50 19.66 10.67 1.67 0.84 0

0 0

12.50 28.50 28.92 29.33 38.00 46.66 46.66 46.66 46.45 41.91 37.58 23.33 9.08 4.75 0.21 0

0 9.50 27.15 38.24 42.79 47.33 55.99 55.99 55.99 55.78 51.24 39.62 28.00 16.38 4.75 0.21 0

0 4.10 19.71 29.43 39.69 49.95 70.99 76.10 76.31 73.64 63.12 50.73 38.33 25.93 13.53 3.02 0.35 0.01 2.00 14.21 22.97 34.96 46.95 73.24 83.42 84.76 79.96 66.86 55.18 43.49 31.81 20.13 7.00 1.73 0.26

  • See notes after Table 2 (2/2).

2.125 6

5 4

3 2

1 0.5 0.0

-0.5

-1

-2

-3

-4 1.20 11.15 18.91 31.00 43.08 71.02 84.38 87.05 81.49 67.77 57.05 46.32 35.59 24.85 10.82 3.71 0.79

-X-

- II 1--

I '- 

',- -:-

i

JOB. NO.

PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrii CLIENT PG&E-DCPP ORIGIl' REVIEWER K. L. Whitmore APPRO CALCULATION NO.

PGE-009-CALC-006 SHEET 10 OF 55 DATE September 20,2002 ikage and Thermal Stresses NATOR S. C. Tumminelli VED R. F. Evers REVISION 0 Table 2 (2/2) - Pad Temperatures Above Ambient (Degrees F) vs. Time Elevation1,3 Depth2'3 Time (days)

s. '_

T-.'.'

I;

-~

J'is2.375 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 analysis 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.

ENERCON SERVICES, INC.

SHEET 11 OF 55 DATE September 20,2002 DCPP ISFSI ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses ENERCON SERVICES, INC.

CLIENT PG&E-DCPP REVIEWER K. L. Whitmore CALCULATION NO.

PGE-009-CALC-006 ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers REVISION 0 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:

E,h=OcAT where:

h 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 JOB. NO.

PROJECT SUBJECT PGE-009

SHEET 12 OF 55 JOB. NO.

PGE-009 DATE September 20,2002 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 0 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 analysis 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 analysis.

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.

L, JOB. NO.

PGE-009

~~PROJECT DCPP ISFSI Hip m l SUBJECT ISFSI Cask Storage Pad Concrete Shrir rl'2 CLIENT PG&E-DCPP ORIGIDi ENERCON REVIEWER K. L. Whitmore APPRO' SERVICES, INC. CALCULATION NO.

PGE-009-CALC-006 SHEET 13 OF 55 DATE September 20,2002 nkage and Thermal Stresses NATOR S. C. Tumminelli VED R. F. Evers REVISION 0 Table 4 - Concrete Strength and Young's Moduli Time (days)

Specified f Mix Design f E = 5700OJC 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 3.271E6 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

L l

JOB. NO.

PGE-009 F ~

PROJECT DCPP ISFSI mz 31 SUBJECT ISFSI Cask Storage Pad Concrete Shrii CLIENT PG&E-DCPP ORIGH ENERCON REVIEWER K. L. Whitmore APPRO SERVICES, INC.

CALCULATION NO.

PGE-009-CALC-006 SHEET 14 OF 55 DATE September 20,2002 ikage and Thermal Stresses NATOR S. C. Tumminelli VED R. F. Evers REVISION 0 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-1 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 4 0.924E6 1.306E6 1.460E6 1.964E6 2.358E6 2.674E6 MatNo.+

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

ENERCON SERVICES, INC.

JOB. NO.

PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrii CLIENT PG&E-DCPP ORIGI?

REVIEWER K. L. Whitmore APPRO CALCULATION NO.

PGE-009-CALC-006 SHEET 15 OF 55 DATE September 20,2002 ikage and Thermal Stresses NATOR S. C. Tumminelli VED R. F. Evers REVISION 0 Table 5 (2/2) - Analysis Parameters, and Applied Delta Temperatures (F) Vs Elevation D ay_

Elevation 2.375 3.125 4.125 6.125 7.875 Ex 4 2.788E6 3.080E6 3.271E6 3.543E6 3.669E6 Mat. No.4 8

9 10 11 12 Load Step4 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

-1.33 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, Sheet 50). The Poisson's ratio is 0.15.

SHEET 16 OF 55 JOB. NO.

PGE-009 DATE September 20,2002 PROJECT DCPP ISFSI

  • tl r

3 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 0 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 r

Original Shape Restraining Force

\\ '

~~~~~Dead Weight Uniform Reaction No Thermal Loads Reaction After I

Thermal Deflection

Th Figure 1 - Dead Weight Reaction Distribution vs. Thermal Displacement Thus the dead weight can be included in the calculation of the total stress. The analysis model includes contact compression only gap elements between the top of the rock and the bottom of the pad. The model relies upon a net vertical downward load to maintain numerical stability during the solution process. The analysis for the thermal case uses 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 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 displacements are then monitored for the summed steps to insure that the pad is always K

separated from the rock at the centerline of the pad, thereby maintaining the full effects of the offsetting deadweight moments in the analysis.

SHEET 17 OF 55 JOB. NO.

PGE-009 DATE September 20,2002 PROJECT DCPP ISFSI mP z 3 SUBECT 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 0 It is recognized that summing individual nonlinear analytical results is not, in the strictest sense, theoretically correct. However, given that the bulk (90%) of the dead weight is included in the first load step, 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). 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.

Shrinkage 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.

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 static 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.

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 analysis for temperature is 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 18 OF 55 DATE September 20,2002 DCPP ISFSI ag SUBJECT ISFSIt a

CLIENT PG&E.

ENERCON REVIEWER K. L. V SERVICES, INC. CALCULATION NO.

Zask Storage Pad Concrete Shrinkage and Thermal Stresses ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers Vhttmore PGE-009-CALC-006 REVISION 0 Figure 2 - Basic Pad/Rock Geometry Figure 3 - Finite Element Mesh JOB. NO.

PROJECT PGE-009 N

J'1 4 Z=2 11F27:21 pa Terma an Shrinkag AtnyM qd AN dm 24 a2 11;z77a T

NU Pad Trma a2d ShrThk..Anayi2 Mdel D.DCPP

SHEET 19 OF 55 DATE September 20, 2002 DCPP ISFSI ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses ENERCON SERVICES, INC.

CLIENT PG&E-DCPP REVIEWER K. L. Whitmore CALCULATION NO.

PGE-009-CALC-006 ORIGINATOR S. C. Tmminellf APPROVED R. F. Evers REVISION 0 Concrete Pad The concrete pad is modeled with Element Type 2. Element Type 2 is the ANSYS SOLID45 8-noded blick 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

. 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.

Figure 4 - Pad Mesh JOB. NO.

PROJECT SUBJECT PGE-009 AM Jn 2 W2 11jZO:al MY.

Ml SN ii_CS Sad The.l and hrinkrg /tayi e

SHEET 20 OF 55 DATE September 20,2002 DCPP ISFSI ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses ENERCON SERVICES, INC.

CLIENT PG&E*

REVIEWER K. L. V CALCULATION NO.

.DCPP Vhitmore APPROVED PGE-009-CALC-006 R. F. Evers REVISION 0 Rock The rock is modeled with Element Type 1. Element Type I 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 mnimum distance that will be required to install the pad. Larger gaps will provide less restraint and hence lower stresses. 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.

bAT N0l AiN

'AN 29 I0 It29M4 ad Th.e

.,ip rSn kRaq, midvY s mdal Figure 5 - Rock Mesh JOB. NO.

PROJECT SUBJECT PGE-009 ORIGINATOR S. C. Tumminelli

SHEET 21 OF 55 fl" g JOB. NO.

PGE-009 DATE September 20,2002 S <

PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses

~~?&F CLIENT PG&E-DCPP ORIGINATOR S. C. Tumninefli ENERCON REVIEWER K L. Whitmore APPROVED R. P. Evers SERVICES, INC.

CALCULATION NO.

PGE-009-CALC-006 REVISION 0 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 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 SE-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 ( = Sx1l-6 in/in/degree KI1.8) 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" rat will be higher than 5.0x10-6, the value in Table 6 is conservative, regardless of the fmal 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.

ENERCON SERVICES, INC.

JOB. NO.

PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrir CLIENT PG&E-DCPP ORIGIN REVIEWER K. L. Whitmore APPRO CALCULATION NO.

PGE-009-CALC-006 SHEET 22 OF 55 DATE September 20,2002 ikage and Thermal Stresses

[ATOR S. C. Tmminelli VED R. F. Evers REVISION 0 Table 6 - Rock Properties Used for Analysis Constraint Euautions 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 amd at the top of the rock beneath the pad. These nodes are then stitched together in a manner that allows the pad to push/pull horizontally on he rock mass but does not allow the resulting curvature to affect the vertical stresses between the pad and the rock. The possibility that the pad and/or mud mat will not remain bonded to the rock, or will creep, will be addressed in subsequent calculations. These constraint equations act in combination with the contact elements described below.

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.

r ~ u.

MT NM AN

" 2 2Ob2 I1:fl:24 P, Thel and 2Fritg M.lay4 4od1 Figure 7 - Pad/Rock Constraints 0G; Rock Young's Modulus Poisson's Ratio Coefficient of Thermal Expansion Dolomite - Hard 2.0x10 6 0.24 5.0x10 I

JOB. NO.

PROJECT SUBJECT CLIENT ENERCON SERVICES, INC.

PGE009 SHEET 23 OF 55 DATE September 20,2002 DCPP ISFSI ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses PG&E-DCPP REVIEWER K. L. Whitmore CALCILATIONNO.

PGE-0 ORIGINATOR S. C. Tumminehi APPROVED R. F. Evers 09-CALC-006 REVISION 0 Figure 8 - Close Up of Pad/Rock Constraints on the Rock Figure 9 - Pad/Rock Constraints on the Pad - Looking Up AN JN24 204 1 I

in lell old Slimklp ldu l.j

ENERCON SERVICES, INC.

JOB. NO.

PGE-0(

PROJECT DCPPI SUBJECT ISFSI (

CLIENT PG&E-REVIEWER K. L. V CALCULATION NO.

SHEET 24 OP 55 DATE September 2,2002 09 ISFSI ask Storage Pad Concrete Shrinkage and Thermal Stresses

-DCPP ORIGINATOR APPROVED Whitmore PGE-009-CALC-006 S. C. Tumminelli R. F. Evers REVISION 0 Contact Elements The analysis model has 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 amalysis, the CONTAl 74 is used on the bottom of the pad and the TARGEI 70 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.

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.

Co7 AX~

Jfl Z4 1nDz xh1kg i4de,oto

ENERCON SERVICES, INC.

SHEET 25 OF 55 JOB. NO.

PGE09 DATE September 20,2002 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tumminelji REVIEWER K. L. Whitmore APPROVED R. F. Evers CALCULATION NO.

PGE-009-CALC-006 REVISION 0 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 amd the rock X edge of the rock mass at X = 81' 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.

JOB. NO.

PGE-009 SHEET 26 OF 55 DATE September 20, 2002 ENERCON SERVICES, INC.

PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Coner CLIENT PG&E-DCPP REVIEWER K. L. Whitmore CALCULATION NO.

PGE-009-CALC-006 rete Shrinkage and Thermal Stresses ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers REVISION 0

'~W$

AN a

2 22 1441:O4 x

r DEtv T

0 Wp g.25 PAtS Figure 12 - Boundary Conditions - Looking Down AN 222 24 i22 11A 5:2

.~W~

V@T

r.

fl;T O~,2 Figure 13 - Boundary Conditions COC;

r. 1A SHEET 27 OF 55 JOB. NO.

PGE-009 DATE September 20,2002 PROJECT DCPP ISFSI iX 3 SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses P'll 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 0 Loads and Analysis The thermal stress analysis is 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 1, 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 L.OG, and 0.01G for each of the ten 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 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 file that documents the generation of the loads for each load step is provided in Appendix TH-Loads. Plots of the summed applied temperatures are provided in Appendix TPad-TH.

One plot from the Appendix for Load Case 7 is shown in Figure 14. The ANSYS output file that documents the analysis together with the output delta temperatures and summed temperatures is provided in Appendix RPad-TH. A comparison of the output temperatures with the temperatures in Tables 2 and 5 show them to be the same. Each summed Load Case is then checked for equilibrium. The output file that documents this check for equilibrium is provided in Appendix EPad-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 (52.5x34x8x150) = 2,142,000 lbs.

ENERCON SERVICES, INC.

JOB. NO.

PGE-009 PROJECT DCPP ISFSI SIUBJECT ISFSI Cask Storage Pad Concrete Shri CLIENT PG&E-DCPP ORIGI REVIEWER L.

Whitmore APPRO CALCULATION NO.

PGE-009-CALC-006 SHEET 28 OF 55 DATE September 20,2002 ikage and Thermal Stresses IATOR S. C. Tumminelli VED R F. Evers REVISION 0 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.

,,o 0tn.

smI31 20 sun~-

4&~~t0 SVZ 111 PAY I F~ -S51 i

2014 men aw wr smwh

^

29.71 PAD RE~SEW AT M o

2.3~S Ml' Figure 14 - Applied Temperatures at 2.375 days 9 b&. 2 77.56 67, Ž9 Z

-- AC7

,,, 1 07153,11 1

SHEET 29 OF 55 JOB. NO.

PGE-009 DATE September 20,2002 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLENT 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 0 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-1A. 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-1A. 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 Apprendix 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.

ENERCON SERVICES, INC.

JOB. NO.

PGE-Oi PROJECT DCPP]

SUBJECT ISFSI (

CLIENT PG&E-REVIEWER K. L. V CALCULATION NO.

SHEET 30 OF 55 DATE September 20,2002 09 ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses

-DCPP ORIGINATOR APPROVED

'hitmore PGE-009-CALC-006 S. C. Tumminell R. F. Evers REVISION 0 Table 7 - Analytical Deflections (inches) Vs Time Time (days)

Load Case Pad Bot 8y 113 Rock Top 5 133 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 0.121E-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.

ENERCON SERVICES, INC.

SHEET 31 OF 55 JOB. NO.

PGE409 DATE September 20,2002 PROJECT DCPP ISFSI SUBJECT ISPSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tumminelli REVIEWER K. L. Whitnore APPROVED R. F. Evers CALC1ILATION NO.

PCE-09-CALo-6 REVISION 0 Figure 15 - Pad Vertical Analytical Displacements at 0.25 Days (same as Figure LC-1) fl-I Figure 16 - Pad Vertical Analytical Displacements at 0.5 Days (same as Figure LC-2)

C2l

ENERCON SERVICES, INC.

SHEET 32 OF 55 JOB. NO.

PGE-009 DATE September 20,2002 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tumiineill REVIEWER K L. Whitmore APPROVED R. F. Evers CALCULATION NO.

PGE-009-CALC-006 REVISTON Figure 17 - Pad Vertical Analytical Displacements at 2.375 days (same as Figure LC-7)

Cl-?--

SHEET 33 OF 55 JOB. NO.

PGE-009 DATE September 20,2002 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 0 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 ai Max and the minimum compressive principal stress 3 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 a3 Min in Load Cases 1 to 3 greatly exceed the expected f.

The a;3 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 ci is not local and the extent of expected cracking, and therefore, required crack control reinforcement is significant.

SHEET 34 OF 55 JOB. NO.

PGE-009 DATE September 20,2002 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses t3 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 0 Table 8 - Pad Stresses (psi) Vs Time Time Lad Max XMin lZMaX ZMln Max Loa dM f *

(days)

Case xmxCx Cma Cyn Fax0m f

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 11 75 443 70 470 84

-803 3699 407

  • f =6.71

JOB. NO.

PGE-009 PROJECT SHEET 35 OF 55 DATE September 20,2002 DCPP ISFSI ENERCON SERVICES, INC.

SUBJECT ISFSIC CLIENT PG&E-REVIEWER K L. V CALCULATION NO.

Cask Storage Pad Concrete Shrinkage and Thermal Stresses ORIGINATOR S. C. Tumminelli APPROVED R F. Evers Vhitmore PGE-009-CALC-006 REVISION 0 ANd JU

¶ Ž0O2 0fl53jZU s'-I aS O2t,2 k11 j=.2

`4E.=.

732 30.75 Dr331 0..

MDL RMS9UM AT EnD OF 2.375 OWtS U.s1012A1 1

4. 307 Figure 18 - Pad X Direction Stresses at 2.375 days N

07I 144 mOD StOtU 3W" PAD SPO1nS AT MD 2

S375 YS 13.841 351.065

<21.27 29.9b Figure 19 - Pad Z Direction Stresses at 2.375 days Cr3 111,11

B-DCPP

ENERCON SERVICES, INC.

JOB. NO.

PGE4 PROJECT DCPP SlUBJECT ISFSI 4 CLIENT PG&E REVIEWER K. L. V CALCULATION NO.

SHEET 36 OF 55 DATE September 20, 2002 09 ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses

_ ORIGINATOR S. C. TumnmineUi APPROVED R. F. Evers Vhitmore PGE-009-CALC-006 REVISION 0 s

S1X Is

.6 q53I 61*

"I'll SWm -2O.O1$

Figure 20 - Pad S3 Stresses - Load Case 3 - Viewing Direction is from -1,-0.5,-1 AN JU L 1 2 IClS: 5 PAD RESPONSM AT END O 2375 MAXS Figure 21 - Pad S3 Stresses - Load Case 7 - Viewing Direction is from -1,-0.5,-1

-461802,:

A STSI 3 afI"L,

I IDOS SUB_

07:39S52 SwJ--ot2o sS 1X}

~ ~ ~ ~ ~~~

621 =4I3 461 Ca2a

-302;z4,

2.

A.12_

PADl RESPOSE Al M0 O Q.6 DAYS XIL"

-DCfPP

ENERCON SERVICES, INC.

JOB. NO.

PGE-009 PROJECT DCPP ISFSI SUBJECT ISPSI Cask Storage Pad Concrete Shril CLIENT PG&E-DCPP ORIGir REVIEWER K L. Whitmore APPRO CALCILATION NO.

PGE-009-CALC-006 SHEET 37 OP 55 DATE September 20, 2il2 ikage and Thermal Streses INATOR S. C. Tummineli VED R. F. Evers REVISION 0 Figure 22 - Pad SI Stresses - Load Case 3 A -

JU I

'll 7:

58

s.

1

$ 1 U W, U1 OMI5I

= W' ml ad 11.1 673T 7I 42 PAD RSSPOIO Al EN OF 2-735 MYS

-11 220. 2, 3M.ZLt 515A.14 Figure 23 - Pad SI Stresses - Load Case 7 cis 1I0 nvro AN-

$1

%")~~~~~~~~~~~~~~~~~U 1~0 utot 5a,eei

-0 Oil-16.56

'~5120,-

177.215 115 27410 JOG 53410. 997 PMD ESSS AT ElN OF 0.625 DYS

JOB. NO.

PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrir CLIENT PG&E-DCPP ORIGIN REVIEWER K. L. Whitmore APPRO' CALCULATION NO.

PGE-009-CALC-006 SHEET 38 OF 55 DATE September 20,2002 ikage and Thermal Stresses NATOR S. C. Tumminelli VED R. F. Evers REVISION 0 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 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 /2 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 /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 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 (bs. and in.-lbs.) - Line C Force/

Strip Design Moment Values" 512-6 6-7 7-8 8-10

  • s 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 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.

ENERCON SERVICES, INC.

JOB. NO.

PGE-009 SHEET 39 OF 55 DATE September 20,2002 ENERCON SERVICES, INC.

PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concr CLIENT PG&E-DCPP REVIEWER K. L. Whitmore CALCULATION NO.

PGE-009-CALC-006 rete Shrinkage and Thermal Stresses ORIGINATOR S. C. Tumminelli APPROVED R. F. Evers REVISION 0 Table 9 (2/11) - Load Case 2 - Time 0.50 days Z Strips - Internal Forces (bs. and in.-lbs.) - Line 5 /2 Force/

Strip Design Moment Values*

C-D D-E Fy

-18871

-21932 21932 Fz

-3128490

-3005009 3005009 Mx 0.458E08 0.471E08

-0.4711E08 X Strips - Internal Forces (bs. and in.-lbs.) - Line C Force/

Strip Design Moment Values" 5 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 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.

ENERCON SERVICES, INC.

JOB. NO.

PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrir CLIENT PG&E-DCPP ORIGID REVIEWER K. L. Whitmore APPRO CALCULATION NO.

PGE-009-CALC-006 SHEET 40 OF 55 DATE September 20,2002 ikage and Thermal Stresses NATOR S. C. Tumminelli VED R. F. Evers REVISION 0 Table 9 (3/11) - Load Case 3 - Time 0.625 days Z Strips - Internal Forces (lbs. and in.-lbs.) - Line 5 %

Force/

Design Moment Stip 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"

.j'<j.

52-6 6-7 7-8 810 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.

JOB. NO.

PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrii CLIENT PG&E-DCPP ORIGI?

REVIEWER K. L. Whitmore APPRO CALCULATION NO.

PGE-009-CALC-006 SHEET 41 OF 55 DATE September 20,2002 ikage and Thermal Stresses NATOR VED S. C. Tumminelli R. F. Evers REVISION 0 Table 9 (4/11) - Load Case 4 - Time 1.125 days Z Strips - Internal Forces (lbs. and in.-lbs.) - Line 5 %/z Force/

Sti Design Moment P

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" 5A2-6 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 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.

ENERCON SERVICES, INC.

JOB. NO.

PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrir CLIENT PG&E-DCPP ORIGIR REVIEWER K. L. Whitmore APPRO CALCULATION NO.

PGE-009-CALC-006 SHEET 42 OF 55 DATE September 20,2002 ikage and Thermal Stresses NATOR VED S. C. Tumminelli R. F. Evers REVISION 0 Table 9 (5/11) - Load Case 5 - Time 1.625 days Z Strips - Internal Forces (lbs. and in.-lbs.) - Line 5 /2 Force/

Strip Design Moment Values*

C-D D-E Fy

-19734

-22181 22181 Fz

-5390017

-5205515 5390017 Mx 0.151E09 0.148E09

-0.151E09 X Strips - Internal Forces (lbs. and in.-lbs.) - Line C Force/

St*

Design Moment Values" 5/2-6 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 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.

ENERCON SERVICES, INC.

JOB. NO.

PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrii CLIENT PG&E-DCPP ORIGP REVIEWER K. L. Whitmore APPRO CALCULATION NO.

PGE-009-CALC-006 SHEET 43 OF 55 DATE September 20,2002 ikage and Thermal Stresses NATOR S. C. Tumminelli

)VED R. F. Evers REVISION 0 Table 9 (6111) - Load Case 6 - Time 2.125 days Z Strips - Internal Forces (lbs. and in.-lbs.) - Line 5 /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 /z-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 /2 -6 factored by 2, and values for strip 8-10 factored by 1.7.

ENERCON SERVICES, INC.

ENERCON SERVICES, INC.

JOB. NO.

PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrii CLIENT PG&E-DCPP ORIGD REVIEWER K. L. Whitmore APPRO CALCULATION NO.

PGE-009-CALC-006 SHEET 44 OF 55 DATE September 20,2002 ikage and Thermal Stresses NATOR S. C. Tumminelli VED R F. Evers REVISION 0 Table 9 (7/11) - Load Case 7 - Time 2.375 days Z Strips - Internal Forces (lbs. and in.-lbs.) - Line 5 /2 Force/

Stri Design Moment P

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" 51/2 Y2-6 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 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 Shrii CLIENT PG&E-DCPP ORIGI REVIEWER K. L. Whitmore APPRO CALCULATION NO.

PGE-009-CALC-006 SHEET 45 OF 55 DATE September 20,2002 ikage and Thermal Stresses NATOR S. C. Tumminelli VED R. F. Evers REVISION 0 Table 9 (8/11) - Load Case 8 - Time 3.125 days Z Strips - Internal Forces (bs. and in.-lbs.) - Line 5 /2 Force/

Str Design Moment Sp 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/

Str 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 2 - 6 factored by 2, and values for strip 8-10 factored by 1.7.

ENERCON SERVICES, INC.

JOB. NO.

PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrii CLIENT PG&E-DCPP ORIGIP REVIEWER K. L. Whitmore APPRO CALCULATION NO.

PGE-009-CALC-006 SHEET 46 OF 55 DATE September 20,2002 ikage and Thermal Stresses NATOR VED S. C. Tumminelli R. F. Evers REVISION 0 Table 9 (9/11) - Load Case 9 - Time 4.125 days Z Strips - Internal Forces (lbs. and in.-lbs.) - Line 5 %

Force/

Strip Design Moment Values*

C-D D-E e

Fy

-44128

-25231 44128 Fz

-4973948

-4816150 4973948 Mx 0.144E09 0.138E09

-0.144E09 X Strips - Internal Forces (bs. and in.-lbs.) - Line C Force/

Strip Design Moment Values

--~j -

f fi-S 5 1 A2-6 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 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.

ENERCON SERVICES, INC.

JOB. NO.

PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrin CLIENT PG&E-DCPP ORIGIDi REVIEWER K. L. Whitmore APPRO' CALCULATION NO.

PGE-009-CALC-006 SHEET 47 OF 55 DATE September 20,2002 ikage and Thermal Stresses NATOR VED S. C. Tumminelli R. F. Evers REVISION 0 Table 9 (10/11) - Load Case 10 - Time 6.125 days Z Strips - Internal Forces (lbs. and in.-lbs.) - Line 5 Force/

Strip Design Moment Values C-D D-E Fy

-54025

-26040 54025 Fz

-3967223

-3841025 3967223 Mx 0.994E08 0.937E08

-0.994E08 X Strips - Internal Forces (bs. and in.-lbs.) - Line C Force/

Strip Design Moment Values" r H.;-!', _, v 5

/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 I 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.

ENERCON SERVICES, INC.

Fg "

l j

JOB. NO.

PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrii CLIENT PG&E-DCPP ORIGID ENERCON REVIEWER K. L. Whitmore APPRO SERVICES, INC. CALCULATION NO.

PGE-009-CALC-006 Table 9 (11/11) - Load Case 11 - Time 7.875 days Z Strips - Internal Forces (lbs. and in.-lbs.) - Line 5 /2 Force/

Stri Design Moment t

Values*

'.w

i.

- 4 C-D D-E Fy

-61916

-26847 61916 Fz

-3212272

-3109565 3212272 Mx 0.666E08 0.609E08

-0.666E08 SHEET 48 OF 55 DATE September 20,2002 ikage and Thermal Stresses NATOR S. C. Tumminelli VED R. F. Evers REVISION X Strips - Internal Forces (bs. and in.-lbs.) - Line C Force/

Design Moment Values 5 Y2 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 1 applied.

Normalization to a 17-foot wide strip has been performed. Values for strip 5

- 6 factored by 2, and values for strip 8-10 factored by 1.7.

0

JOB. NO.

PGE-009 SHEET 49 OP 55 DATE September 20, 2002 ENERCON SERVICES, INC.

PROJECT DCPP ISPSI SUBJECT ISFSI Cask Storage Pad Cone, CLIENT PG&E-DCPP REVIEWER K. L. Whitmore CALCULATION NO.

PGE-009-CALC-006 rete Shrinkage and Thermal Stresses ORIGINATOR S. C. Tumninelli APPROVED R. P. Evers REVISION 0 Analysis Results - Shrinkage Stress Analysis Pad Resnonse - Disnlacements The pad displacements are plotted in Figures 24 and 25 below. The maximum displacement of the pad is 0.0583 inches up at the corner. The displacements are also extracted from the data file and documented in Appendix DPad-SH.

Figure 24 - Pad Shrinkage Vertical Displacements AN 0 SS O"sO 30 rO9tt _

igo

_tdy n ~~(eg.

l hAn t9;

'-0 ENERCON SERVICES, INC.

JOB. NO.

PGE-009 PROJECT DCPP]

SUBJECT ISFSI (

CLIENT PG&E-REVIEWER K. L. V CALCULATION NO.

SHEET 50 OF 55 DATE September 20,2002 ISFSI ask Storage Pad Concrete Shrinkage and Thermal Stresses

-DCPP hitmore PGE-009-CALC-006 ORIGINATOR S. C. Tmminelli APPROVED R F. Evers REVISION 0

'Sor itS

-I IZZ shrinkage qq 117 dogW DDd pedMiqkD it ANP

, 24 262 16 z:4, k

- U3749i lnlS

~1fl~9

>~4424 S58219 Figure 25 - Pad Shrinkage Vertical Displacements c-1

ENERCON SERVICES, INC.

SHEET 51 OF 55 JOB. NO.

PGE-009 DATE September 20,2002 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses CLIENT PG&E-DCPP ORIGINATOR S. C. Tummhnell REVIEWER K. L. Whitmore APPROVED R. F. Ever CALCULATION NO.

PGE-009-CALC-006 REVISION 0 Pad Response - Stresses Pad stresses are plotted in Figures 26 to 29 below. The maximum tensile stress SI is very local to the top surface of the pad and extends almost completely over the surface. The fll set of stresses are extracted from the data file and are provided in Table 10. The ANSYS n docluenting this data is provided i Appendix SPad-SH.

Table 10 - Pad Stresses (psi)

Pigure 26 - Pad Shrinkage SX Stresses CI

ENERCON SERVICES, INC.

JOB. NO.

PGE009 PROJECT DCPP ISPSI SUBJECT ISFSI Cask Stor CLIENT PG&E-DCPP REVIEWER K. L. Whitmore CALCULATION NO.

PGE-0 SHEET 52 OF 55 DATE September 20, 2002 age Pad Concrete Shrinkage and Thermal Stresses ORIGINATOR APPROVED 09-CALC-006 S. C. TummineDi R. F. Evers REVISION 0 Figure 27 - Pad Shrinkage SZ Stresses Figure 28 - Pad Shrinkage SI Stresses

~n MUTZN AN

,~' -

12;3&Z5

a

.dfl TP5--

MAY=0 m7 -171.15 shr*n.kge t

III dys s peedwet sorb qmLUC AN IMM JI 24 Q2 all-1 12 6a R~.065M~

1524z 54 15.71 MAU 46 2

77515.048 117 1

1524 shrihleg t 111 days nd D dwight

JOB. NO.

PROJECT SUBJECT CLIENT ENERCON SERVICES, INC.

SHEET 53 OF 55 DATE September 20, 2002 PGE-009 DCPP ISFSI ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses PG&E-DCPP REVIEWER IC L. Whitmore CALCULATION NO.

PGE-09-CALC006 ORIGINATOR S. C. Tmmilnelli APPROVED R. F. Evers i

REVISION 0 9

30 11-E1

~O

-Iasm

-04.415 AN JA 24 ZOU1 12:116.

I3O;S

74. 6e

strhkage 't 1it days d

teadig.ht Figure 29 - Pad Shrinkage S3 Stresses C-Zo

-6104

-M Q' I . p

ENERCON SERVICES, INC.

JOB. NO.

PGE-009 PROJECT DCPP ISFSI SUBJECT ISFSI Cask Storage Pad Concrete Shrii CLIENT PG&E-DCPP ORIGID REVIEWER K. L. Whitmore APPRO CALCULATION NO.

PGE-009-CALC-006 SHEET 54 OF 55 DATE September 20,2002 ikage and Thermal Stresses NATOR S. C. Tumminelli VED R. F. Evers REVISION 0 Pad Response - Internal Forces The pad internal forces are provided in Table 11 for lines 5 1/2 and C. The ANSYS output documenting this data extraction is provided in Appendix FPad-SH.

Table 11 - Shrinkage Stress Analysis Z Strips - Internal Forces (lbs. and in.-lbs.) - Line 5 1/2 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"*

>'j:,r

-r 5

2 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.

ENERCON SERVICES, INC.

JOB. NO.

PROJECT SUBJECT CLIENT REVIEWER SHEET 55 OF 55 DATE September 20,2002 PGE-009 DCPP ISFSI ISFSI Cask Storage Pad Concrete Shrinkage and Thermal Stresses PG&E-DCPP K. L. Whitmore CALCULATION NO.

PGE-009-CALC-006 ORIGINATOR APPROVED S. C. Tumminelli R. F. Evers REVISION 0 Also, pad internal forces for the top 12 inches and the top 6 inches are provided in Table 12 for lines 5 1/2 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 12 - Shrinkage Stress Analysis Z Strips - Internal Forces for top 12 inches and top 6 inches (bs.) - Line 5 /2 Force Strip Design 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 (lbs.) - Line C Force Strip Design Values"*

5 2 - 6 6-7 7-8 8-10 Fxl2 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.

Nornalization 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.

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, 11 and 12.

F ENERCON F, 3 SERVICES, INC. Appendix TH-Loads to Calculation PGE-009-CALC-006

'r7-rs 1 2 Originator:

Date:

Sheet 1 of 6 S epTumn 2el Ii September 20, 2002 Appendix TH-Loads This Appendix presents the ANSYS file documenting the applied loads for the thermal stress analysis.

I

F '1 ENERCON F SERVUCES, 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,SYMXY,UZ,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,CONC1O,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,CONC8O,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

F. I ENERCON F 3 SERVCES, INC. Appendix TH-Loads to Calculation PGE-009-CALC-006.

BF,CONCO5,TEMP,17.92 BF,CONCOO,TEMP,12.66 BF,ROCK05,TEMP,7.41 BF,ROCK10,TEMP,3.91 BF,ROCK20,TEMP,0.21 BF,ROCK30,TEMP,0.0 BF,ROCK40,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,CONC00,TEMP,4.67 BF,ROCK05,TEMP,7.30 BF,ROCK1O,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,CONC1O,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 Sheet 3 of 6

A11n ENERCON at EuE,IC Appendix R-Loads to Calculation PGE-009-CALC-006 I-17!-

BF,CONCO5,TEMP,4.45 BF,CONCO0,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,ROCK10,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,CONC00,TEMP,1.06 BF,ROCK05,TEMP,1.46 BF,ROCKIO,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 Sheet 4 of 6

F'j E ENERCON F.

E CS NC Appendix TH-Loads to Calculation PGE-009-CALC-006 BF,CONCO5,TEMP,0.64 BF,CONCOO,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,CONCOO,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

Sheet 6 of 6

~~ ENERCON F.

SERVCES, INC. Appendix TH-Loads to Calculation PGE-009-CALC-006 BF,CONCO5,TEMP,-3.38 BF,CONCOO,TEMP,-2.20 BF,ROCK05,TEMP,-1.23 BF,ROCK10,TEMP,-0.25 BF,ROCK20,TEMP,0.85 BF,ROCK30,TEMP,1.01 BF,ROCK40,TEMP,0.43 LSWRITE,11 FINISH

/EXIT,NOSAVE

F l ENERCON F,

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

Date:

Sheet 1 of 55

. C. u neii September 20, 2002 Appendix RPad-TH This Appendix presents the ANSYS output file documenting the execution of the thermal stress analysis and the output temperatures for checking.

Sheet 2 of 55 F

'~

ENERCON

, 3 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

  • Copyright 2002 SAS IP, Inc.

All rights reserved.

  • Unpublished---rights reserved under the Copyright Laws of
  • the United States.
  • U.S. GOVERNMENT RIGHTS
  • Use, dupl.ication, or disclosure by the U.S. Government is
  • subject to restrictions set forth in the ANSYS, Inc.
  • license agreement and as provided in DFARS 227.7202-1{a)
  • and 227.7202-3(a) (1995),

DFARS 252.227-7013(c) (1) (ii)

(OCT

  • 1988),

FAR 12.212(a) (1995),

FAR 52.227-19, or FAR52.227-14 (ALT III),

as applicable.

ANSYS, Inc.
  • THIS SOFTWARE CONTAINS CONFIDENTIAL INFORMATION AND TRADE
  • SECRETS OF SAS IP, INC.

USE, DISCLOSURE, OR REPRODUCTION

  • IS PROHIBITED WITHOUT THE PRIOR EXPRESS WRITTEN PERMISSION
  • OF SAS IP, INC.
  • The Program also contains the following licensed software:
  • PCGLSS: Linear Equations Solver
  • (C) Copyright 1992-1995 Computational Applications and System Integration Inc.
  • All Rights Reserved.
  • CA&SI, 2004 S. Wright Street, Urbana, IL 61821 Ph (217)244-7875 Fax (217)244-7874
  • CA&SI DOES NOT GUARANTEE THE CORRECTNESS OR USEFULNESS OF
  • THE RESULTS OBTAINED USING PCGLSS. CA&SI IS NOT LIABLE FOR
  • ANY CONCLUSIONS OR ACTIONS BASED ON THE RESULTS. IT IS THE

Sheet 3 of 55 F]

ENERCON F,

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

nall 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,1 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

41 ENERCON 3 SERVICES,IC F,

J SERVICES9INC.

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,ll 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 LCDEF,1,1 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

/TITLE,PAD RESPONSE AT END OF 0.25 DAYS 86 LCWRITE,1 87 LCOPER,ADD,2 88

/TITLE,PAD RESPONSE AT END OF 0.50 DAYS

Sheet 5 of 55 ENERCON SERVICES, INC.

Appendix RPad-TH to Calculation PGE-009-CALC-006 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,11

/TITLE,PAD RESPONSE LCWRITE,11 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 F

" -' C 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

E li ENERCON F,.3SERCES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 146 NSORT,LOC,Y 147 PRNSOL,BFE 148 SET,8 149 NSORT,LOC,Y 150 PRNSOL,BFE 151 SET,9 152 NSORT,LOC,Y 153 PRNSOL,BFE 154 SET,10 155 NSORT,LOC,Y 156 PRNSOL,BFE 157 SET,11 158 NSORT,LOC,Y 159 PRNSOL,BFE 160 LCASE,1 161 NSORT,LOC,Y 162 PRNSOL,BFE 163 LCASE,2 164 NSORT,LOC,Y 165 PRNSOL,BFE 166 LCASE,3 167 NSORT,LOC,Y 168 PRNSOL,BFE 169 LCASE,4 170 NSORT,LOC,Y 171 PRNSOL,BFE 172 LCASE,5 173 NSORT,LOC,Y 174 PRNSOL,BFE 175 LCASE,6 176 NSORT,LOC,Y 177 PRNSOL,BFE 178 LCASE,7 179 NSORT,LOC,Y 180 PRNSOL,BFE 181 LCASE,8 182 NSORT,LOC,Y 183 PRNSOL,BFE 184 LCASE,9 185 NSORT,LOC,Y 186 PRNSOL,BFE 187 LCASE,10 188 NSORT,LOC,Y 189 PRNSOL,BFE 190 LCASE,11 191 NSORT,LOC,Y 192 PRNSOL,BFE 193 NUSORT 194 FINISH 195 eall 196 nall 197

/EXIT,NOSAVE RUN SETUP PROCEDURE FROM FILE= C:\\Program Files\\Ansys Inc\\ANSYS61\\docu\\start61.ans Sheet 6 of 55

/INPUT FILE= C:\\Program Files\\Ansys Inc\\ANSYS61\\docu\\start61.ans LINE=

0

F dj ENERCON

_i 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 =

=

12

=

1 0

(CARTESIAN)

=

367 INITIAL JOBNAME = PAD-TH CURRENT JOBNAME = PAD-TH 10212 NODES (OF 8812 ELEMENTS (OF LIST MATERIALS PROPERTY= ALL 10212 DEFINED) SELECTED BY NALL COMMAND.

8812 DEFINED) SELECTED BY EALL COMMAND.

1 TO 12 BY 1

PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 EX MAT=

1 NUM.

POINTS=

DATA TEMPERATURE DATA 0.20000E+07 NUXY MAT=

1 NUM. POINTS=

DATA TEMPERATURE DATA 0.24000 ALPX MAT=

1 NUM.

POINTS=

DATA TEMPERATURE DATA 0.50000E-05 DENS MAT=

I NUM. POINTS=

DATA TEMPERATURE DATA 0.0000 EX MAT=

2 NUM.

POINTS=

DATA TEMPERATURE DATA 0.92400E+06 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 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 9341 10212 166 339 224 48 DATA DATA DATA DATA DATA DATA DATA

E> lENERCON n

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 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 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 NUXY MAT=

3 NUM. POINTS=

DATA TEMPERATURE DATA 0.15000 ALPX MAT=

3 NUM. POINTS=

DATA TEMPERATURE DATA 0.51800E-05 DENS MAT=

3 NUM. POINTS=

DATA TEMPERATURE DATA 0.78100E-01 EX MAT=

4 NUM. POINTS=

DATA TEMPERATURE DATA 0.14600E+07 NUXY MAT=

4 NUM.

POINTS=

DATA TEMPERATURE DATA 0.15000 ALPX MAT=

4 NUM.

POINTS=

DATA TEMPERATURE DATA 0.51800E-05 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 ALPX MAT=

5 NUM.

POINTS=

DATA TEMPERATURE DATA 0.51800E-05 DENS MAT=

5 NUM.

POINTS=

DATA TEMPERATURE DATA 0.78100E-01 EX MAT=

6 NUM. POINTS=

DATA TEMPERATURE DATA 0.23580E+07 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

P I

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE PROPERTY TABLE NUXY MAT=

DATA DATA DATA DATA DATA DATA DATA DATA DATA DATA DATA DATA DATA DATA 6

NUM.

POINTS=

Sheet 9 of 55 F;

-'A ENERCON SERVICES, INC.

Appendix RPad-THI to Calculation PGE-009-CALC-006 TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 DATA 0.15000 TEMPERATURE ALPX MAT=

6 NUM.

POINTS=

DATA TEMPERATURE DATA 0.51800E-05 DENS MAT=

6 NUM.

POINTS=

DATA TEMPERATURE DATA 0.78100E-01 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 DENS MAT=

7 NUM.

POINTS=

DATA TEMPERATURE DATA 0.78100E-01 EX MAT=

8 NUM. POINTS=

DATA TEMPERATURE DATA 0.27880E+07 NUXY MAT=

8 NUM. POINTS=

DATA TEMPERATURE DATA 0.15000 ALPX MAT=

8 NUM.

POINTS=

DATA TEMPERATURE DATA 0.51800E-05 DENS MAT=

8 NUM.

POINTS=

DATA TEMPERATURE DATA 0.78100E-01 EX MAT=

9 NUM. POINTS=

DATA TEMPERATURE DATA 0.30800E+07 NUXY MAT=

9 NUM. POINTS=

DATA TEMPERATURE DATA 0.15000 ALPX MAT=

9 NUM. POINTS=

DATA TEMPERATURE DATA 0.51800E-05 DATA TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE PROPERTY TABLE DENS MAT=

9 NUM.

POINTS=

TEMPERATURE DATA TEMPERATURE DATA 1

TEMPERATURE DATA DATA DATA DATA DATA DATA DATA DATA DATA DATA DATA DATA DATA DATA DATA

Sheet 10 of 55 ENERCON A jz SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 0.78100E-01 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 PROPERTY TABLE TEMPERATURE 0.0000 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 ALPX MAT=

10 NUM.

POINTS=

DATA TEMPERATURE DATA 0.518O0E-05 DENS MAT=

10 NUM.

POINTS=

DATA TEMPERATURE DATA 0.78100E-01 EX MAT=

11 NUM.

POINTS=

DATA TEMPERATURE DATA 0.35430E+07 NUXY MAT=

11 NUM.

POINTS=

DATA TEMPERATURE DATA 0.15000 ALPX MAT=

11 NUM.

POINTS=

DATA TEMPERATURE DATA 0.51800E-05 DENS MAT=

11 NUM.

POINTS=

DATA TEMPERATURE DATA 0.7810OE-01 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 0.51BOE-05 DENS MAT=

12 NUM.

POINTS=

DATA TEMPERATURE DATA 0.78100E-01 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 1

TEMPERATURE 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) 0.0000 DATA DATA DATA DATA DATA DATA DATA DATA DATA DATA DATA DATA

ENERCON F a SERVICES INC.

Appendix RPad-T to Calculation PGE-009-CALC-006 Sheet 11 of 55 DO NOT PRINT LOAD STEP ID DO NOT PRINT NOTE LINE(S)

PRINT COLUMN HEADER LABELS DO NOT PRINT REPORT TOTALS LIST ALL SELECTED ELEMENTS IN RANGE 1

530 TO 530 STEP

          • ANSYS -

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

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

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 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.

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 16:49:21 JUN 10, 2002 CP=

DELTA T 0.0 TO 0.25 DAYS S O L U T I O

N 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 1

0.391

1. 853

F

~ ENERCON F 3 SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 files will be produced.

      • WARNING ***

CP=

1.893 TIME=

The program chosen initial timestep/load-factor is arbitrary.

necessary for the user to supply a suitable initial timestep/load-factor through the NSUB or DELTIM command for convergence and overall efficiency.

16:49:21 It is L O A D S T E P O P T I O N S 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 Default pinball region factor PINB The resulting pinball region User define initial closure ICONT

11. 752
1. 0000 11.752 0.10000E-05
      • NOTE ***

CP=

2.644 TIME= 16:49:22 Max.

Initial penetration 1.421085472E-14 was detected between contact element 9172 and target element 9002.

Sheet 12 of 55

Sheet 13 of 55 FzE:3 ENERCON

  • 4 l, a 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 CENTER OF MASS MOM.

OF INERTIA ABOUT ORIGIN MOM.

OF INERTIA ABOUT CENTER OF MASS 0.2606E+12 0.3614E+12 0.1126E+12 0.1887E+11 0.2914E+11

-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 SOLID45 2.383 0.000361 SOLID45 0.761 0.000407 TARGE170 0.000 0.000000 CONTA174 0.240 0.001414 element matrix formulation CP= 6.34912968.

ALL CURRENT ANSYS DATA WRITTEN FOR POSSIBLE RESUME FROM THIS FORCE CONVERGENCE VALUE =

SPARSE MATRIX DIRECT SOLVER.

Number of equations =

2561, 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 =

FORCE CONVERGENCE VALUE EQUIL ITER 4 COMPLETED.

TO FILE NAME= PAD-TH.rdb POINT 0.4319E+07 CRITERION= 0.2204E+05 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

0.2533E+06 CRITERION

4083.

NEW TRIANG MATRIX.. MAX DOF INC=

0.3694E-02 XC =

YC =

ZC =

204.00

-48.000 315.00 IXX =

IYY =

IZZ =

IXY =

IYZ =

IZX =

1 6602 2

1870 4

170 5

170 Time at end of 2,I

-3f ENERCON E>>1

'e aSERVICES, INC. Appendix RPad-TI to Calculation PGE-009-CALC-006 Z- - -

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

      • NODAL LOAD CALCULATION TIMES TYPE NUMBER ENAME TOTAL CP AVE CP 6602 SOLID45 0.120 0.000018 1870 SOLID45 0.050 0.000027 170 TARGE170 0.000 0.000000 170 CONTA174 0.000 0.000000 STEP 1

SUBSTEP 1 COMPLETED.

=

1.00000 TIME INC =

1.00000 CUM ITER =

Sheet 14 of 55 1

2 4

5

      • LOAD
      • TIME 16

Sheet 15 of 55 F

C'l ERCON

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

      • 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 1

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 ELEM MAT TYP REL ESY SEC TSHA NODES 530 3

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 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.

SOLCONTROL,ON 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=

31 DELTA T 0.25 TO 0.50 DAYS 343.404 064 44.786 728 L O A D S T E P O P T I O N S

Sheet 16 of 55 F

, x, Co FA-l]

ENERCON X

-2J-RICS IC Appendix RtPad-T`1 to Calculation PGE-009-CALC-006 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 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 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=(

- NEW TRIANG MATRIX. MAX I 1.000 SCALED MAX DOF

0.1765E+06 CRITERION

NEW TRIANG MATRIX. MAX I 1.000 SCALED MAX DOF

0.1096E+07 CRITERION

NEW TRIANG MATRIX. MAX I 0.4326 SCALED MAX DOF

0.1938E+07 CRITERION

NEW TRIANG MATRIX. MAX]

1.000 SCALED MAX DOF

0.5270E+06 CRITERION

NEW TRIANG MATRIX. MAX I 1.000 SCALED MAX DOF

0.4011E+06 CRITERION

NEW TRIANG MATRIX.

MAX]

1.000 SCALED MAX DOF

0.2222E+06 CRITERION

NEW TRIANG MATRIX.

MAX]

D.1935E+05 DOF INC=

0.1099 INC =

0.1099 4420.

DOF INC=

0.1231 INC =

0.1231 3999.

DOF INC=

0.2059E-01 INC =

0.8907E-02 4052.

DOF INC=

0.1197E-01 INC = 0.1197E-01 4099.

DOF INC=

0.5671E-01 INC =

0.5671E-01 4066.

DOF INC=

0.3222E-01 INC = 0.3222E-01 4099.

DOF INC=

0.1427E-01 1.000 SCALED MAX DOF INC =

= 0.2244E-04 CRITERION= 4167.

>>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 7

      • LOAD STEP 2

SUBSTEP 1

COMPLETED.

CUM ITER =

      • TIME =

2.00000 TIME INC =

1.00000 0.1427E-01

<<< CONVERGED 23 2 TO ESEL FOR LABEL= TYPE FROM 1870 ELEMENTS (OF SET MATERIAL OF SELECTED ELEMENTS TO 8812 ELEMENTS (OF 8812 DE]

LIST ALL SELECTED ELEMENTS IN RANGE 1

2 BY 1

B812 DEFINED) SELECTED BY ESEL COMMAND.

4 FINED) SELECTED BY EALL COMMAND.

530 TO 530 STEP 1

Sheet 17 of 55 F

"~ ENERCON

-3 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 DELTA T 0.25 TO 0.50 DAYS ELEM MAT TYP REL ESY SEC TSHA 10, 2002 CP=

NODES 530 4

2 1

0 1

ANSYS RELEASE 6.1 UP20020321 1

28 16:47 :47 29 3

672 1050 06/10/2002 1064 728 PRINTOUT RESUMED BY /GOP Load step file number 3.

Begin solution ANSYS SOLVE COMMAND

      • NOTE ***

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.

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.

3 3.0000 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 485.618

t54-j;,,-1 Sheet 18 o El ~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 1064 728 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=

DELTA T 0.625 TO 1.125 DAYS 516.593 F 55

Sheet 19 of 55 F-

'ENERCON F

SERICES, 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 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 8612 DEFINED)

SELECTED BY EALL COMMAND.

LIST ALL SELECTED ELEMENTS IN RANGE 1

530 TO 530 STEP

          • 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 ELEM MAT TYP REL ESY SEC TSHA NODES 530 6

2 1

0 1

ANSYS RELEASE 6.1 UP20020321 1

28 29 3

672 1050 1064 16:47:48 06/10/2002 PRINTOUT RESUMED BY /GOP 1

544.403 728

F 3

ENERCON i

SERVICES, INC.

Appendix RPad-TH to Calculation PGE-009-CALC-006 Load step file number 5. Begin solution...

ANSYS SOLVE COMMAND *****

NOTE ***

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 5.0000 ON 1

1000 I

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 =

= 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 Sheet 20 of 55

Sheet 21 of 55 F~l]ENERCON E2 J

SERVICES, INC.

Appe 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 =

rndix RPad-TH to Calculation PGE-009-CALC-006

= 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

NEW TRIANG MATRIX.

MAX 0.5049E-01 SCALED MAX DOE

0.2690E+07 CRITERION

NEW TRIANG MATRIX.

MAX 0.5046E-01 SCALED MAX DOE

0.2555E+07 CRITERION

NEW TRIANG MATRIX.

MAX 0.5044E-01 SCALED MAX DOE 0.2426E+07 CRITERION=

NEW TRIANG MATRIX.

MAX 0.5042E-01 SCALED MAX DOE

0.2303E+07 CRITERION

NEW TRIANG MATRIX.

MAX 0.5040E-01 SCALED MAX DOE

0.2187E+07 CRITERION

NEW TRIANG MATRIX.

MAX 0.5038E-01 SCALED MAX DOE

0.2077E+07 CRITERION

3169.

DOF INC= -0.7985E-01 INC = -0.4032E-02 3189.

DOF INC= -0.7582E-01 T

INC - -0.3826E-02 3215.

DOF INC= -0.7200E-01 INC = -0.3631E-02 3246.

DOF INC= -0.6836E-01

  • INC = -0.3447E-02 3282.

DOF INC= -0.6492E-01

  • INC = -0.3272E-02 3322.

DOF INC= -0.6165E-01

? INC = -0.3105E-02 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=

NEW TRIANG MATRIX.

MAX 0.5031E-01 SCALED MAX DOE

0.1690E+07 CRITERION

NEW TRIANG MATRIX.

MAX 0.5029E-01 SCALED MAX DOE

0.1605E+07 CRITERION

NEW TRIANG MATRIX.

MAX 0.5028E-01 SCALED MAX DOE

0.1524E+07 CRITERION

NEW TRIANG MATRIX.

MAX 0.5026E-01 SCALED MAX DOE

0.1447E+07 CRITERION

NEW TRIANG MATRIX.

MAX 0.5025E-01 SCALED MAX DOE

0.1375E+07 CRITERION

NEW TRIANG MATRIX.

MAX 3529.

DOF INC= -0.5014E-01

  • INC = -0.2522E-02 3591.

DOF INC= -0.4761E-01

, INC = -0.2395E-02 3656.

DOF INC= -0.4522E-01

  • INC = -0.2274E-02 3725.

DOF INC= -0.4295E-01 INC = -0.2159E-02 3797.

DOF INC= -0.4079E-01 F INC = -0.2050E-02 3873.

DOF INC= -0.3874E-019 0.5024E-01 SCALED MAX DOF INC = -0.1946E-02

F

--r Aa F"]

ENERCON F-, 3 SRCSIN.Appendix RPad-H to Calculation PGE-009-CALC-006 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.

MAY 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 Sheet 21 of 55

F.1t ENERCON

, 3 EVCS N.Appendix RPad-TH to Calculation PGE-009-CALC-006 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

      • LOAD STEP 5
      • BEGIN BISECTION CONVERGED SUBSTEP 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.

AFTER 26 EQUILIBRIUM ITERATIONS 1

NOT COMPLETED.

CUM ITER =

1 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.

Sheet 22 of 55 I

Sheet 23 of 55 F~ ~ENERCON 1,' v nSERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 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 ESEL FOR LABEL= TYPE FROM 2 TO 2 BY 71 1

1870 ELEMENTS (OF 8812 DEFINED)

SELECTED BY ESEL COMMAND.

SET MATERIAL OF SELECTED ELEMENTS TO 7

8812 ELEMENTS (OF 8812 DEFINED)

SELECTED BY EALL COMMAND.

LIST ALL SELECTED ELEMENTS IN RANGE 1

530 TO

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:20:58 JUN 530 STEP 1

LO, 2002 CP=

1446.770 DELTA T 1.125 TO 1.625 DAYS ELEM MAT TYP REL ESY SEC TSHA 530 7

2 1

0 1

ANSYS RELEASE 6.1 UP20020321 1

28 29 3

672 1050 1064 728 16:47:48 06/10/2002 PRINTOUT RESUMED BY /GOP Load step file number 6.

Begin solution...

COMMAND *****

NODES ANSYS SOLVE

Sheet 24 of 55 NM" 1'ENERCON F

_ 3 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 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:21:00 JUN 10, 2002 CP=

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 0.10000E-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

= 0.2462E+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.

1448.243

Sheet 25 of 55

5-".>:7, f F~ ]ENERCON F

l SEuCS INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 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 NEW TRIANG MATRIX.

MAX DOF INC=

1.000 SCALED MAX DOF

0.1974E+05 CRITERION

NEW TRIANG MATRIX.

MAX 1.000 SCALED MAX DOE

0.3068E+05 CRITERION

NEW TRIANG MATRIX.

MAX 1.000 SCALED MAX DOF

=

8068.

CRITERION=

NEW TRIANG MATRIX.

MAX 1.000 SCALED MAX DOE

=

7216.

CRITERION=

NEW TRIANG MATRIX.

MAX 1.000

=

866.9 0.4908E-03 IINC =

0.4908E-03 1494.

DOF INC=

0.2077E-03 I INC =

0.2077E-03 1522.

DOF INC=

0.2244E-03 I INC =

0.2244E-03 1549.

DOF INC=

0.7462E-04

,INC =

0.7462E-04 1580.

DOF INC=

0.5422E-04 SCALED MAX DOF INC =

CRITERION=

1612.

>>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 10 LOAD STEP 6

SUBSTEP 1

COMPLETED.

CUM ITER =

TIME =

6.00000 TIME INC =

1.00000 0.5422E-04

<<< CONVERGED 81 2 TO ESEL FOR LABEL= TYPE FROM 1870 ELEMENTS (OF E

SET MATERIAL OF SELECTED ELEMENTS TO 8812 ELEMENTS (OF 8812 DEl LIST ALL SELECTED ELEMENTS IN RANGE 1

2 BY 1

3812 DEFINED) SELECTED BY ESEL COMMAND.

8 FINED)

SELECTED BY EALL COMMAND.

530 TO 530 STEP 1

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:25:31 JUN 10, 2002 CP=

DELTA T 1.625 TO 2.125 DAYS ELEM MAT TYP REL ESY SEC TSHA NODES 530 8

2 1

0 1

ANSYS RELEASE 6.1 UP20020321 1

28 29 3

672 1050 1064 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=

Present time 0 is less than or equal to the previous time.

Time will default to 7.

17:25:32

      • 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 1654.369 728

Sheet 26 of 55 ENERCON

^, ;3 SERVICES, INC. Appendix RPad-TH to Caledlation 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=

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 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 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

<<< CONVE

>>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 5

LOAD STEP 7

SUBSTEP 1

COMPLETED.

CUM ITER =

TIME =

7.00000 TIME INC =

1.00000 RGED 86 ESEL FOR LABEL= TYPE FROM 1870 ELEMENTS (OF 2 TO 2 BY 8812 DEFINED) SELECTED BY ESEL COMMAND.

SET MATERIAL OF SELECTED ELEMENTS TO 1655.881 9

Sheet 27 of 55 F - ~ ENERCON E, 3SEVCE IC Appendix RPad-THI to Calculation PGE-009-CALC-006 8812 ELEMENTS (OF 8812 DE]

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 17:28:06 JUN 10, 2002 CP=

1765.889 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

l UP20020321 1

28 29 3

672 1050 1064 16:47:48 06/10/2002 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

ACEL............

0.0000 0.10000E-01 0.0000 PRINT OUTPUT CONTROLS

.............NO PRINTOUT 728

ENERCON F,

SERVICES,INC.

Appendix RPad-TH to Calcuiation 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.

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

= 0.1434E+07 CRITERION= 7332.

NEW TRIANG MATRIX.

MAX DOF INC=

0.5927E-01 1.000 SCALED MAX DOF INC =

0.5927E-01

= 0.2973E+05 CRITERION= 1353.

NEW TRIANG MATRIX. MAX DOF INC=

0.2397E-03 1.000 SCALED MAX DOF INC =

0.2397E-03

= 0.3235E+05 CRITERION= 1379.

NEW TRIANG MATRIX.

MAX DOF INC=

0.2445E-03 1.000 SCALED MAX DOF INC =

0.2445E-03

= 0.1612E+05 CRITERION= 1405.

NEW TRIANG MATRIX.

MAX DOF INC=

0.1145E-03 1.000 SCALED MAX DOF INC =

0.1145E-03

=

3510.

CRITERION=

1433.

NEW TRIANG MATRIX.

MAX DOF INC=

0.2665E-04 1.000 SCALED MAX DOF INC =

0.2665E-04

O.6556E-03 CRITERION

1462.

<<< CONVERGED

>>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 5

      • LOAD STEP 8

SUBSTEP 1

COMPLETED.

CUM ITER =

      • TIME =

8.00000 TIME INC =

1.00000 ESEL FOR LABEL= TYPE FROM 2 TO 2 BY 91 1

1870 ELEMENTS (OF 8812 DEFINED)

SELECTED BY ESEL COMMAND.

SET MATERIAL OF SELECTED ELEMENTS TO 10 8812 ELEMENTS (OF LIST ALL SELECTED ELEMENTS IN RANGE 1

8812 DEFINED)

SELECTED BY EALL COMMAND.

530 TO 530 STEP 1

          • ANSYS -

ENGINEERING ANALYSTS 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 16:47:48 29 3

672 1050 1064 728 06/10/2 002 PRINTOUT RESUMED BY /GOP Load step file number 9.

Begin solution COMMAND Sheet 28 of 55 ANSYS SOLVE

Sheet 29 of 55 F~ ~ENERCON F- -

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

      • 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

          • 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................

9 TIME AT END OF THE LOAD STEP..........

9.0000 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 0.10000E-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 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 DOI

=

5444.

CRITERION=

NEW TRIANG MATRIX.

MAX 1.000 SCALED MAX DOF

0.7658E-03 CRITERION

8170.

DOF INC=

0.3392E-01 7 INC = 0.3392E-01 2303.

DOF INC=

0.5112E-04 v 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 ESEL FOR LABEL= TYPE FROM 2 TO 2 BY 93 1

1870 ELEMENTS (OF 8812 DEFINED) SELECTED BY ESEL COMMAND.

SET MATERIAL OF SELECTED ELEMENTS TO 11

F~ ta ENERCON

-- 3SERVICES, INC.

Appendix RPad-TH to Calculation PGE-009-CALC-006 t

8812 ELEMENTS (OF 8812 DE]

LIST ALL SELECTED ELEMENTS IN RANGE 1

PINED) SELECTED BY EALL COMMAND.

530 TO

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1 ANSYS/Mechanical U 00245050 VERSION=INTEL NT 17:31:49 JUN 530 STEP 10, 2002 CP=

DELTA T 3.125 TO 4.125 DAYS ELEM MAT TYP REL ESY SEC TSHA 530 11 2

1 0

1 ANSYS RELEASE 6.1 UP20020321 1

28 29 3

672 1050 1064 16:47:48 06/10/2002 PRINTOUT RESUMED BY /GOP Load step file number 10.

Begin solution...

ANSYS SOLVE COMMAND

      • NOTE ***

CP=

1921.853 TIME=

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.............

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

10 10.000 ON 1

1000

...YES

...USE y

1 15 NO (EXIT)

DEFAULTS z

ACEL............

0.0000 0.10000E-01 0.0000 PRINT OUTPUT CONTROLS.............NO PRINTOUT Sheet 30 of 55 1

1920.491 NODES 728 17:31:51

Sheet 31 of 55 Fr ENERCON SERVCES, 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.

FORCE CONVERGENCE VALUE

= 0.2253E+07 CRITERION= 0.1174E+05 EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX.

MAX DOF INC= 0.3675E-01 LINE SEARCH PARAMETER =

1.000 SCALED MAX DOF INC =

0.3675E-O1 FORCE CONVERGENCE VALUE =

69.09 CRITERION=

4270.

ccc CONVERGED

>>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 1

      • LOAD STEP 10 SUBSTEP 1

COMPLETED.

CUM ITER =

94 TIME =

10.0000 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 12 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 17:32:40 JUN 10, 2002 CP=

DELTA T 4.125 TO 6.125 DAYS 1950.104 ELEM MAT TYP REL ESY SEC TSHA NODES 530 12 2

1 0

1 1

28 29 3

672 1050 1064 ANSYS RELEASE 6.1 UP20020321 16:47:48 06/10/2002 PRINTOUT RESUMED BY /GOP Load step file number 11.

Begin solution...

ANSYS SOLVE COMMAND *****

      • NOTE ***

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

728

          • ANSYS -

ENGINEERING ANALYSIS SYSTEM RELEASE 6.1

ENERCON FX SERVICES INC.

Appendix RPad-TH to Calculation PGE-009-CALC-006 Sheet 32 of 55 ANSYS/Mechanical 00245050 VERSION=INTEL NT 17:32:43 JUN 10, 2002 CP=

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 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 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

= 0.2269E+07 CRITERION= 0.1235E+05 NEW TRIANG MATRIX.

MAX DOF INC= -0.7043E-01 0.9999 SCALED MAX DOF INC = -0.7042E-01

0.8921E+05 CRITERION

2811.

NEW TRIANG MATRIX. MAX DOF INC= -0.7337E-04 1.000 SCALED MAX DOF INC = -0.7337E-04

0.1105E+05 CRITERION

2868.

NEW TRIANG MATRIX. MAX DOF INC=

0.8880E-04 1.000 SCALED MAX DOF INC =

0.8880E-04

0.5739E-04 CRITERION

2927.

<<< CONVERGED

>>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 3

      • LOAD STEP 11 SUBSTEP 1 COMPLETED.

CUM ITER =

      • TIME =

11.0000 TIME INC =

1.00000 ESEL FOR LABEL= TYPE FROM 2 TO 2 BY 97 1

1870 ELEMENTS (OF 8812 DEFINED) SELECTED BY ESEL COMMAND.

SET MATERIAL OF SELECTED ELEMENTS TO 2

8812 ELEMENTS (OF 8812 DEFINED) SELECTED BY EALL COMMAND.

LIST ALL SELECTED ELEMENTS IN RANGE 1

530 TO 530 STEP

          • ANSYS -

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

2020.535 1951.797 1

F I E NERCON F.; ]ENERCON F--1 3 SERVICES, INC.

Appendix RPad-TH to Calculation PGE-009-CALC-006 DELTA T 6.125 TO 7.875 DAYS ELEM MAT TYP REL ESY SEC TSHA 530 2

2 1

0 1

Sheet 33 of 55 NODES 1

28 29 3

672 1050 1064 728 FINISH SOLUTION PROCESSING

          • ROUTINE COMPLETED *****

CP =

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 (POSTI)
  • 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.

POST1 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 2020.545

F I ENERCON "I,

SERVICES, INC.

--.;. ~'

Sheet 34 of 55 Appendix RPad-TH to 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 9

SUBSTEP 1

COMPLEX= 0 4.125 DAYS 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.

POST1 result's may be erroneous unless you RESUME from a Jobname.DB file for this substep.

Sheet 35 of 55 F

,] ENERCON

-FA 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.

POST1 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.

POST1 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.

POST1 results may be erroneous unless you RESUME from a Jobname.DB file for this substep.

LCOPER OPERATION ADD USING LOAD CASE=

AB3S=

O 5 FACTOR=

1.0000

F I ENERCON

'I INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 TITLE=

PAD RESPONSE AT END OF 1.625 DAYS 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.

POSTI 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 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.

POST1 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 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.

POST1 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 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 TITLE=

PAD RESPONSE AT END OF 4.125 DAYS 9 TO FILE PAD-TH.109 Sheet 36 of 55 ABS=

0 ABS=

0 ABS=

0 ABS=

0 WRITE LOAD CASE

Sheet 37 of 55 F

5 ENERCON 3 - 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.

POST1 results may be erroneous unless you RESUME from a Jobname.DB file for this substep.

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.

POSTI 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 TITLE=

PAD RESPONSE AT END OF 7.875 DAYS WRITE LOAD CASE 11 TO FILE PAD-TH.l11 EXIT THE ANSYS POST1 DATABASE PROCESSOR

          • ROUTINE COMPLETED *****

CP =

2030.279 print the temperatures for checking ABS=

0 8812 ELEMENTS (OF 10212 NODES (OF 8812 DEFINED) SELECTED BY EALL COMMAND.

10212 DEFINED)

SELECTED BY NALL COMMAND.

          • 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.

POSTI results may be erroneous unless you perform a new solution using the stored data.

PRINT HEADER DO NOT PRINT SUBTITLE(S) 1

F ENERCON

., SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 DO NOT PRINT DO NOT PRINT PRINT COLUMN DO NOT PRINT LOAD STEP ID NOTE LINE(S)

HEADER LABELS REPORT TOTALS 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.

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=

0.

FOR ITEM=LOC COMPONENT=Y 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=

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. 0000
0. 0000
0. 0000 0.0000
0. 0000
0. 0000 THXY 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 0.00 0.00 0.00 0.00 THYZ 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 0.00 0.00 0.00 0.00 THZX 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 0.00 0.00 0.00 0.00 USE LOAD STEP 1

SUBSTEP 0 FOR LOAD CASE 0

      • WARNING ***

Cumulative iteration 16 may have CP=

2030.289 been solved using dif TIME= 17:35:20 ferent model or boundary condition data than currently stored.

POST1 results may be erroneous unless you RESUME from a Jobname.DB file for this substep.

Sheet 38 of 55 SELECT KABS=

RESELECT KABS=

2030.289

Sheet 39 of 55 SERVICES, INC.

Appendix RPad-TH to Calculation PGE-009-CALC-006 I

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 1

ANSYS -

ENGINEERING ANALYSIS ANSYS/Mechanical U 00245050 VERSION=INTEL NT DELTA T 0.0 TO 0.25 DAYS NODE 1

28 27 26 16 74 73 72 71 61 123 113 133 156 146 180 179 169 1

CUMULATIVE ITERATION=

16 ORDER= 0 KABS= 0 NMAX=

10212 SYSTEM RELEASE 6.1 17:35:23 JUN 10, 2002 CP=

2030.980 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

-2 Z;::,

^

Sheet 40 of 55 F

] ENERCON SERVICES INC.

Appendix RPad-TH to Calcuiation 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.

POST1 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

Appendix RPad-TH to Calculation PGE-009-CALC-006 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 SORT ON ITEM=LOC COMPONENT=Y SORT COMPLETED FOR 1 CUMULATIVE ITERATION=

25 ORDER= 0 KABS= 0 NMAX=

10212 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=

DELTA T 0.625 TO 1.125 DAYS NODE BFETEMP 1

-5.4000 28

-7.4400 27

-8.8100 26 -3.1000 16 2.6200 74 15.000 73 20.110 72 20.320 71 17.860 61 11.880 123 11.110 113 10.330 133 10.330 ENERCON SERVICES, INC.

Sheet 41 of 55 27 26 16 74 73 72 71 61 123 113 133 156 146 180 179 169 9.3200 13.4 60 9.3300 9.3300 9.3300 9.3300 9.3300 9.3300 2.04 00 4.6700 4.6700 7.3000 0.0000 0.0000 0.0000 0.0000 2032.763

ENERCON SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 9.5500 8.7800 2.8100 0.35000 0.1000OE-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 SUBSTEP=

TIME/FREQUENCY=

5.0000 TITLE= DELTA T 1.125 TO 1.625 DAYS SORT ON ITEM=LOC COMPONENT=Y SORT COMPLETED FOR 2

CUMULATIVE ITERATION=

ORDER= 0 KABS= 0 NMAX=

10212 18 VALUES.

PRINT BFE NODAL SOLUTION PER NODE

          • ANSYS -

ENGINEERING ANALYSIS ANSYS/Mechanical U 00245050 VERSION=INTEL NT SYSTEM RELEASE 6.1 17:35:29 JUN 10, 2002 CP=

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

      • WARNING ***

Cumulative iteration 6

SUBSTEP 81 may have 0 FOR LOAD CASE 0 CP=

2033.274 TIME= 17:35:29 been solved using different model or E1 156 146 180 179 169 71 2033.264

Sheet 43 of 55 F', ]ENERCON 3

SERVICES, INC.

Appendix RPad-TH to Calculation PGE-009-CALC-006 boundary condition data than currently stored.

POST1 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 I

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 SUBSTE?

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.

POST1 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

~ ENERCON

- x i SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 PRINT BFE NODAL SOLUTION PER NODE 1

          • ANSYS -

ENGINEERING ANALYSIS ANSYS/Mechanical U 00245050 VERSION=INTEL NT SYSTEM RELEASE 6.1 17:35:30 JUN 10, 2002 CP=

DELTA T 2.125 TO 2.375 DAYS NODE 1

28 27 26 16 74 73 72 71 61 123 113 133 156 146 180 179 169 BFETEMP

-0.20000

-0.94000

-1.2800

-1.4700

-1.6500

-1.5100

-0.54000 0.80000E-01 0.90000E-01 0.20000 0.63000 1.0600 1.0600 1.4600 1.8600 1.7300 1.0500 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.

POST1 results may be erroneous unless you RESUME from a Jobname.DB file for this substep.

SET COMMAND GOT LOAD STEP=

8 SUBSTEP=

TIME/FREQUENCY=

8.0000 TITLE= DELTA T 2.375 TO 3.125 DAYS SORT ON ITEM=LOC COMPONENT=Y SORT COMPLETED FOR 1 CUMULATIVE ITERATION=

ORDER= 0 KABS= 0 NMAX=

10212 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 2034.315 91

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.

POST1 results may be erroneous unless you RESUME from a Jobname.DB file for this substep.

SET COMMAND GOT LOAD STEP=

9 TIME/FREQUENCY=

9.0000 TITLE= DELTA T 3.125 TO 4.125 DAYS SORT ON ITEM=LOC COMPONENT=Y SORT COMPLETED FOR SUBSTEP=

1 CUMULATIVE ITERATION=

ORDER= 0 KABS= 0 NMAX=

10212 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 Sheet 45 of 55 v

1 28 27 26 16 74 73 72 71 61 123 113 133 156 146 180 179 169 93

Sheet 46 of 55 ENERCON SERVICES, INC.

Appendix RPad-TH to Calculation PGE-009-CALC-006 0.54000 0.54000 1.9800 3.4300 4.1800 3.1900 1.1800 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.

POST1 results may be erroneous unless you RESUME from a Jobname.DB file for this substep.

SET COMMAND GOT LOAD STEP=

10 SUBSTEP=

TIME/FREQUENCY=

10.000 TITLE= DELTA T 4.125 TO 6.125 DAYS SORT ON ITEM=LOC COMPONENT=Y SORT COMPLETED FOR 1 CUMULATIVE ITERATION=

ORDER= 0 KABS= 0 NMAX=

10212 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 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 E~I 113 133 156 146 180 179 169 94 NODE 1

28 27 26 16 74 73 72 71 61 123 113 133 156 146 180 179 169 0

FOR LOAD CASE

Sheet 47 of 55 F;

ENERCON t1

^ 3SERViCES, 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.

POSTI 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

Sheet 48 of 55 F'

ENERCON F-i SERVICES, INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 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 COPY LOAD CASE 2 FROM FILE TO DATABASE SORT ON ITEM=LOC COMPONENT=Y SORT COMPLETED FOR ORDER= 0 KABS= 0 NMAX=

10212 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=

PAD RESPONSE AT END OF 0.50 DAYS NODE 1

28 27 26 16 74 73 72 71 61 123 113 133 156 146 180 179 169 BFETEMP 12.500 28.500 28.920 29.330 38.000 46.660 46.660 46.660 46.450 41.910 37.580 23.330 23.330 9.0800 4.7500 0.21000 0.0000 0.0000 2037.830

Sheet 49 of 55, FE -

ENERCON

- ^ 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

Sheet 50 of 55 ENERCON SERVICES, INC.

Appendix RPad-TH to Calculation PGE-009-CALC-006 39.690 49.950

70. 990 76.100 76.310 73.640 63.120 50.730 38.330 38.330 25.930 13.530 3.0200
0. 35000 0.10000E-01 COPY LOAD CASE 5 FROM FILE TO DATABASE SORT ON ITEM=LOC COMPONENT=Y 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 17:35:40 JUN 10, 2002 CP=

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 FROM FILE TO DATABASE SORT ON ITEM=LOC COMPONENT=Y SORT COMPLETED FOR F

i 26 16 74 73 72 71 61 123 113 133 156 146 180 179 169 ORDER= 0 KABS= 0 NMAX=

10212 2040.124 ORDER=

0 KABS= 0 NMAX=

10212 18 VALUES.

Sheet 51 of 55 F^ A ENERCON 3 SERVCES, INC.

Appendix RPad-TH to Calculation PGE-009-CALC-006 PRINT BFE NODAL SOLUTION PER NODE 1

          • ANSYS -

ENGINEERING ANALYSIS ANSYS/Mechanical U 00245050 VERSION=INTEL NT SYSTEM RELEASE 6.1 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=

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 1

28 27 26 16 74 73 72 71 BFETEMP 1.0000 10.210 17.630 29.530 41.430 69.510 83.840 87.130 81.580 10212

Sheet 52 of 55 F '~

ENERCON SERVICES, INC. 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

F.

~ENERCON F, 3 SERVICES INC. Appendix RPad-TH to Calculation PGE-009-CALC-006 Sheet 53 of 55 VERSION=INTEL NT 17:35:46 JUN 10, 2002 CP=

PAD RESPONSE AT END OF 4.125 DAYS 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 SORT COMPLETED FOR ORDER= 0 18 VALUES.

PRINT BFE NODAL SOLUTION PER NODE

          • 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 00245050 2043.138 NODE 1

28 27 26 16 74 73 72 71 61 123 113 133 156 146 180 179 169 KABS= 0 NMAX=

10212

ENERCON 3

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

Sheet 54 of 55

          • ANSYS -

ENGINEERING ANALYSIS ANSYS/Mechanical U 00245050 VERSION=INTEL NT 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 SYSTEM RELEASE 6.1 17:35:49 JUN 10, 2002 CP=

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=

2044.550 26

Sheet 55 of 55 F "ENERCON E s J

SERVICES, INC.

Appendix RPad-TH to Calculation PGE-009-CALC-006 NUMBER OF ERROR MESSAGES ENCOUNTERED=

0 ANSYS RUN COMPLETED l

Release 6.1 UP20020321 INTEL NT Maximum Scratch Memory Used

=

61921432 Words 236.212 MB CP Time (sec) =

2044.560 Time

=

17:35:49 l

Elapsed Time (sec) =

2792.000 Date =

06/10/2002 l

ll