Text

Rev 0 to Evaluation of Overlay for RWCU Weld 33-FW-22.
	ML17059B677
Person / Time
Site:	Nine Mile Point
Issue date:	08/11/1997
From:	Mcgowan D, Schaseman C; MPR ASSOCIATES, INC.
To:	;
Shared Package
ML17059B678	List: ML17059B677; ML18040A316;
References
	085-295-03, 85-295-3, MPR-1854, MPR-1854-R, MPR-1854-R00, NUDOCS 9708220242
	Download: ML17059B677 (186)
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8-11-1997 2:CPM FRCM itPPt ASSOCIATES INC 783 519 8224 P.2 Page tBMPR AssocIATlis IrIc CALC. NO.

E N &I N S 5 R S Rev.

Evaluation of Overlay for RWCU Weld 33-FW-22 MPR-1864 Revision 0 AUgUSt 11, ]997 QUAUTYASSURANCE DOCUMENT This document has been prepared, reviewed, and approved In accordance with the Quality Assurance requirements ot.tOGFR50 Appendix 8, as specified in the MPR Quality Assurance Manual.

prepared by Reviewed by SV/-

Approved by Ia'repared For Nagara Mohawk Power Corporation P.O. Box 63 Lycorning, NY 13093 320 IQIIc: STIISKT ~ AI.SXANQIIIA. VA 223 I 4<230 703%19%200 FAX: 703<1 0 0224 pDR ADQCK p5pp0220 I pDR p

~ 8-11-1997 2t~71'M vwsMPR KNWIHQSRS Section 1

2 3

4 5

'aeFROM MPR ASSOCIATES INC BACKGROUND AND PURPOSE ANALYTICALEVALUATION

SUMMARY

REFERENCES.

APPENDICES Appendix A CONTENTS 783 519 8224 MPR Calculation 085-295-03 A-1 P.3 Appendix B MPR Calculation 085-295-04 Appendix C MPR Calculation 985-295-05 Page CALC. NO.

. Rev.

MPR-1854 Revision 0

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Page 17 NEP-DES-08 Rev 02

eI-11-1997 2:57PM FROM MPR ASSOCIATES INC 783 519 8224 P. 4 Page wxlMPR Rev.

C N gg I N 5 I R S Section 1 BACKGROUND AND PURPOSE In May 1997 the'Nine Mile Point Unit 1 (NMP1) Reactor Water Clean Up (RWCU) system'experienced a throughwall crack. in the heat affected zone of the stainless steel (nozzle) side of weld 33-FW-22, which joins the carbon steel RWCU piping with the 304 stainless steel heat exchanger inlet nozzle. The NRC was informed of NMPC's plans to repair this weld with an overlay, in accordance with ASME Code Case N-504 (Reference 1). At the time of the overlay repair, NMPC had not yet performed two analytical evaluations required by the Code Case, and committed to do so at a later date (Reference 2). This report documents these additional evaluations.

Section 2 summarizes the two analytical evaluations required by Code Case iN-504:

(1) potential flaw growth due to fatigue, and (2) evaluation of weld overlay shxinkage.

A summary is provided in Section 3, and xefexences in Section 4, MPR-1854 Revision 0

8-11-1997 2:58PM FROM 1$ R ASSOCIATES <NC 7@3 519 8224 P. 5 iw~MPR CALC. NO. ~/4- rz -rior o KNGINKEAS Rev.

Section 2 ANALYTlCALEVALUATION 2.1 CODE CASE N-504, SECTION (g)(2)-POSTUI ATED FLAW FATIGUE EVALUATION Code Case N-504, Section (g)(2) (Reference 1) states that the requirements of IWB-3640 from the 1983 or later ASME 8&PV Code (Reference 5) shall be satisfied for the design life of the overlay repair, considering potential flaw gxowth due to fatigue and the mechanism believed to have caused the flaw. Additionally, when structural credit is taken for SMAW weld metal in the weld overlay, the evaluation xequirements of Tables IWB-3641-5 and-6 shall be applied.

The mechanism that caused the original flaw in RWCU weld 33-PV-22 was Stress Corxosion Cracking (SCC). The delta ferrite content of the weld overlay (308L or 309L) is at least 7.5% (Reference 3), and is therefore not susceptible to SCC (per Reference 4).

However, the first weld pass is mixed with the base metal, has lowex ferrite content, and is susceptible to SCC This evaluation therefore assumes that the first weld pass (minimum 1/16 inch thick) is cracked 1/16 inch deep, 360'round its circumference, at the start of this evaluation. A fatigue fiaw evaluation, in accordance with Appendix C of ASME B&PV Code Section XI (Reference 5), is performed for the remaining 4/16 inch thickness of the overlay (which is not susceptible to SCC). Note that this evaluation considers the 5/16 inch weld overlay to be the only load carrying. portion of the weld overlaid pipe, i.e., no structural credit is taken for the pipe.

The fatigue fiaw growth analysis for an assumed initial flaw through the first weld pass of the overlay is provided in Appendix C to this report, and is summarized below.

2.l.1 Procedure for Calculatin Flaw Growth for the As umed Flaw

!n order to determine the growth by fatigue of the'assumed flaw, a cumulative fatigue flaw growth study is performed as follows:

~, The number of fatigue cycles is determined. Based on past experience, NMP-1 will likely experience no more than five startups and shut downs per year. For conservatism, the original design assumption of seven such startup/shutdown cycles

. per year, for 22 years (12 years remaining life of current operating license, plus 10 additional years), are considered for a total of 154 cycles. Each startup/shutdown cycle includes a change in the RWCU system pressure from 0 psi to the system design MPR-1854 Revision 0

8-11-1997 2:58PM FROM MPR 48SOO/ATE9 [NC 783 519 8224 P. 6 pressure of 1300 psi, and a change in the system temperature from 70'F << the woi'st case (highest stxess) hot temperature.

The thermal loading condition that results in the largest axial foxce and overturning moments at the weld overlay does not use the design tempexature. The largest anal force and overturning moments occur at the weld overlay when all piping (including the discharge line from the Aux. Cleanup pump) in the system is at 370'.F. The

. directions (signs) of the anal force and overturning moments due to the thermal loading conditions are the same fox all thermal loading conditions evaluated. It is therefoxe appropriate to define the thermal cycle stxess range as the difference between the stress due to the 370'F thermal loading case and the cold (70 F) stress state (zero).

In addition to the thermal/pressure cycles due to startup/shutdown, ten full seismic cycles are considered and applied via superposition to the final thermal cycle. The ten seismic cycles represent one Safe Shutdown Earthquake, and are equal to the peak stress due to the seismic inertial loading. The stxesses due to the seismic axial foxce and overturning moments (which are unsigned, i.e., vary from negative to positive) are doubled to obtain the stress range..

I The maximum range of stress intensity factor, dK,, associated with each transient is determined using the formula below:

EC, a M fm~alg + aPf~gm~alg where 0 and cr, represent the membrane and throughwall bending stresses (in psi) applied at the fiaw location, M and M>, are unitless correction factors for membrane and bending stiess, respective1y, and Q is the flaw shape parameter. Values for membrane and bending stresses for the thermal portion of the startup/shutdown cycles, and for the seismic cycles, are calculated fxom computer stress analyses.

Membrane stresses for pxessure loading are determined using u= P D, /4 t.

~ The initial flaw is assumed to be a surface flaw with a depth equal to the thickness of the first pass of the weld overlay (0.0625"). The incremental flaw growth da/dH corresponding to dK, for each cycle is then determined. The fiaw depth a is updated and the process repeated for each later cycle, to yield the final flaw size.

Page CALC. NO. ~>>-~~-~oic Rev.

MPR-1854 Revision 0

8-11-1997 2-59PM FROM MPR ASSOCIATES INC 783 919 @2~4 P. 7 2,1.2 Slm li n As um tions and Bases Consexvatisms used herein to simplify the analysis are as follows:

The correction factors M and Mb and flaw shape parameter Q are considered to be constant at bounding values for each cycle (i.e., they are set at bounding constant values which do not vary with flaw depth or length).

The overall section bending stress is added absolutely with the axial membrane stress, to yield the total membrane stress. The bending stress is then set to zero. This is conservative because the membrane correction factor M is greater than the bending

'orrection factor Mb for all ranges of flaw size and length. Fuxther, this is appropriate because the throughwall bending stresses due to the moments applied to the pipe are small in comparison to the peak axial stress on the wall due to these moments.

Constants n and C, are obtained from the most bounding cases shown in Figure A-4300-1 of Section XI (Reference 5);

dN

~ 1.20x10 '(M',)'"

where da/d¹s expressed in micro-inches per'cycle and dK, is in ksi-root inches. This relationship uses the high stress ratio curve for alloy steel water reactor environment surface fiaws in Section XI. This provides a worst case flaw growth rate for stainless steel, which exhibits less crack growth per cycle than does the material shown in Figure A-4300-1 of Section XI.

2.1.3 C cl Stres DefinMO For the first 153 of the assumed 154 startup and shutdown cycles, the alternating stress is the combined pressure plus thermal stress of 16,752 psi.

For the last startup cycle, number 154, the first half of the cycle iricludes the first seismic cycle stress. The total pressure plus thermal stress plus seismic stxess,is 19,366 psi.

The nine remaining seismic cycles are assumed to occur during the peak thermal and pressure loading, so the stress range for these cycles is the seismic stress range of 2614 psi.

The flaw size following each cycle considered is calculated. The final flaw size is 0.0699 inches. The ratio of the final Qaw depth to the overlay thickness is 0.0699 inches/0.313 inches ~ 0.22.

MPR-1854 Revision 0 Page

.8-11-1997 2:59PM FROW MPR ASSQCJATES INC 783 519 8224 P. 8 2.1.4 Cpm arisen with Allowable Final Flaw De th The allowable final flaw size shown in Table IWB-3641-5 is a function of two parameters, the Stress Ratio, and the Ratio of Flaw Length to Pipe Circumference. For a Stress Ratio of 0.81, and Flaw Length to Pipe Circumference Ratio of 1.0, the allowable final flaw size depth to thickness ratio is interpolated fxom Table IWB-3641-5 as 0.29, which is gxeater than the calculated final fiaw depth xatio of 0.22.

2.2 CODE CASE N-504, SECTION (g)(3)-EVALUATIONOF WELD OVERLAY SHRINKAGE Code Case N-504, Section (g)(3) (Reference 1) states that the effects of shrinkage in the weld overlay be considered for other welds and components in the system, and that the stresses due to weld shrinkage shall meet the applicable stxess limits of the Construction Code.

This evaluation is performed in bvo parts: (1) calculation of stresses in the RWCU system due to shrinkage of the overlay at weld 33-FW-22, and (2) evaluation of the maximum stress'in accoxdance with the applicable ASME,B&PVSection IIIstress limit. These evaluations are provided in Appendices A and.B to this report, and are summarized below.

22.1 Calculation of Maximum Stress in RWCU S stem due to Weld Shrinka e The ANSYS structural analysis computer code, Version 5.3, was used to develop a finite element model of the poxtions of the RWCU system that could be affected by shrinkage in the weld overlay at the nozzle to the regenerative heat exchanger, weld 33-FW-22. The model was generated based on NMPC's model of thc RWCU system.

The piping in the portion of the Reactor Water Clean Up system modeled is 6-inch, SA106 Grade B, Seamless Carbon Steel, Schedule 80-.~

Based on the dimensions between established punch marks before and after welding, the shrinkage due to the weld overlay is 1/8 inch in the axial direction of the pipe. This displacement is. modeled as an anchor motion of 0.125 inches in the negative Y-direction.

The maximum RWCU system stress for the combined (by SRSS) stresses resulting from bending moments in the three oxthogohal directions is 2161.6 psi. The stress at the weld overlay is 657.9 psi.

2.2.2 valuation of Maximum Stress with Res ect to ASME Stress Limits NMP1 piping systems must meet the design requirements of either ANSI B31.1 1986, or ASME B&PVSection III 1980 (Reference 6). This evaluation is performed in accordance with Subsection NC-3600 of the ASME Code.

MPR-1854 Revision 0 ZZ- Mg Page~

No 5 i 4 19 Rev.

,8-11-1997 3:HOPED FRY 11PR ASSQCIATES INC 783 ~19 @224 P.9 The ASM@ Code requirements for stress analyses considers two types of stresses: Primary and Secondary. Primary stresses are defined as those produced by mechanical loads, e.g.,

deadweight. Secondary stresses are defined as those produced by constraints, e.g., thermal or stresses at. discontinuities. Secondary stresses are self-Umiting; Primary stresses are not.

For analysis of the stxesses in piping systems, the Code evaluates Primary and Secondary stresses separately. Subsection NC-3652.3 includes a provision (Equation 12) for evaluating the Secondary stress due to a "single nonrepeated anchor movement." Subsection NC-3652.3 Equation 12 is appropriate for evaluating the stresses due to the one-time displacement (anchox motion) imposed on the RWCU piping by weld overlay shrinkage:

iMD z

s 3.0$ C where MD = resultant moment due to any single nonxepeated anchor movement, in-lb Z = section modulus, in'

= stress intensification factor S, = the basic material allowable stress at the cold temperature, psi For SA106 Grade 8, S, = 15,000 psi. Equation 12 is evaluated below:

2,162 psi < 3.0(15,000 psi) = 45,000 psi.

Therefore, the effects of stress in the RWCU system, due to weld overlay shrinkage at weld 33-FW-22, are within the applicable stress limits of the Construction Code.

MPR-1854 Revision 0 CALC. NO. S l 4 -S ~ - Zo I o Page~

Rev. G

,8-11-1997 3-88PM FROM MPR ASSOCIATES INC 783 519 8224 P. 18 wwlMPR 6HCINEERS Section 3

'QMMAR7 The weld overlay repair of RWCU weld 33-FW-22 meets the requirements of ASME Code Case N-504 Sections (g)(2) and (g)(3) as follows:

Section 2 -Postulated Fati ue Flaw Evaluation-A postulated initial flaw through the first weld pass of the overlay (360'around the overlay) is calculated to grow into the remaining weld overlay thickness less than the allowable depth specified by ASME Section XI Table IWB-3641-5.

Section 3 -Evaluation of Weld Overla Shrinka e-The maximum stress in the RWCU system due to shrinkage at the weld overlay of 2162 psi is well within the ASME Section III allowable stress of 45~000 psi in SA106 Grade B piping due to a one-time anchor motion.

MPR-1854 Revision 0 CALC. NO. i 0 +oio Page Rev.

,8-11-1997 3:81PM FROM MPR ASSQCIATES INC 783 519 8224 P. 11 fAHMPR ASSOCIATES INC. CALC. NO.

RNl INEEAS Rev.

Section 4, REFERENCES

1. ASME Code Case N-504, Alternative Rules for Repair of Class 1, 2, and 3 Austenitic Stainless Steel Piping,Section XI, Division 1.

2. NMPC (M. J. McCormick, Jr.) Letter to NRC, dated May 19, 1997.

3. NUREG-0313, Revision 2, Technical Rcport on Material Selection and Processing Guidelines for BWR Coolant Pressure Boundary Piping-Final Report," published January 1988.

4. NMPC Weld Record for 33-FW-9702246-02 Repair.

5. ASME Boiler and Prcssure Vessel Code Section XI,'1986 Edition.

6. ASME Boiler and Pressure Vessel Code,Section III,Subsection NC-3600, 1980 Edition.

MPR-1854 Revision 0

8-11-1997 3:81PM FROM MPR ASSOOIPTES tNO 783 519 8224 P. 12 Page 12.

PilMPR CALO. NO. <t4 zz- thoro 8 N CI I N E E R S Rev.

Section 5 APPENDICES Appendix A MPR Calculation 085-295-03 Appendix 8 MPR Calculation 085-295-04 Appendix C MPR Calculation 085-295-05 MPR-1854 Revision 0

Q-) 1-1997 3:81PM FROM WPR pS3OCgpTE9 tgQ 783 519 8224 P. 13 Page />

w~3MPR CALC. NQ. <4-~z-r pro ENCINEERS Rev.

Appendix A MPR Calculation 085-295-03 MPR-1854 '-l Revision 0

8-11-1997 11:25AM FROM ERR pSSpptpTES tNp 783 519 8224 P. 6 MPR Associates, inc.

320 King Street Alexandria, VA 223t4 GALCULATIONTITLE PAGE Client Niagara Mohawk Power Corporation Page 1 of 5 Project Task No.

NMP-1 RWCU Line Crack - Code Case N-504 Evaluation 085-295 Title Calculation No.

Calculation of Stresses in RWCU System Due to Weld Overlay

, Shrinkage 085-295-03 Preparer/Date Checker/Date Reviewer/Approver/Date Rev. No.

g.J2. /A~C~m0.p:

QUAI ITY ASSURANCE DOCUMENT This document has been prepared, checked, and reviewed in accordance with the Quality Assurance requirements of 10CFR50 Appendix B, as speciTied in the MPR Quality Assurance Manual.

Page~~

CALC. NO.

Rev.

$ 3-11-1997 11.-26AM FROM MPR QQSOQIPTE9 [NQ 783 5]9 @224 MPR Associates, Inc.

/LlMPR 320 King Street Alexandria, VA 22314 RECORD OF REVISIONS E

Calculation No.

Page 2 085-295-03 Q77~m Revision Description Initial Issue Page Rev.

.8-11-1997 11:26AM FRCN MPR PSSPPtATE9 tNP 783 519 822cL MPR Associates, Inc.

rAMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared Sy 085-295-03 @77M Page 3 1.0 PURPOSE The purpose of this calculation is to determine the effects of weld overlay shrinkage at weld 33-FW-22 on the NMP-1 Reactor Watex Clean Up (RWCU) system. Stresses due to weld shrinkage are determined for:

(1) the highest stress location within the system, and (2) the location of the weld overlay.

2.0 RESULTS A summary table of stxesses due to weld overlay shrinkage for all elements in the piping model is shown in Attachment A. Thc stresses shown are fox the combined (by SRSS) stxesses resulting from bending moments in the three orthogonal directions. Stress Intensification Factors for each element end are also shown in the table.

The maximum stress of 2161.6 psi (including a 1.00 Stress Intensification Factor) occurs in the vertical piping run straight pipe modeled by element 62, end J.

The stress at the weld overlay is 657.9 psi. The weld ovexlay is modeled by element 91.

3.0 CALCULATION The ANSYS structural analysis computer code~Version 5.3, is used to develop a finite element model of the portions of thc RWCU system that could be affected by shrinkage in the weld overlay at the nozzle to the regenerative heat exchanger, weld 33-FW-22.

3.1 Pi in Model Geome A plot of the two RWCU piping runs affected by the overlay at weld 33-FW-22 is shown in Figure 1. The model was generated based on the NMPC model documented in References'1, 2, and 3.

Attachment B shows the entire ANSYS output file.

3.2 Material Pro erties'he piping in the portion of the Reactor Water Clean Up system modeled is 6-inch, SA106 Grade B, Seamless Carbon Steel, Schedule 80, per References 1 and 2.

lf Page~~

CALC. NO. 0 Rev.

<<~ ~~a ASSOCIATES INC 783 5t~ @224 TXIMPR MPR Associates, Inc:

320 King Street Alexandria, VA 22314 Calculation No. Prepared By Checked By 085-295-03 Qww Page4 Figure 1.

ANSYS Piping Model Isometric 3C 1( D 1l

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CApC QQ g g z9- rvl d io Rev.

9-11-1997 11:27AM FROM MPR A99QQtPTES i'93 519 8224 P. 18 MPR Associates, Inc.

WAMPR 320 King Street Alexandria, VA 22314 Calculation No. Checked By Page 5 085-295-03 Material properties, consistent with References 1 and 2, include the following:

E = 27.9x 10'psi at 70'F v =0.3 3.3 Structural Bounda Conditions The model includes only the portion of the system that could be affected by shrinkage of the weld overlay'ocated at element 91, end J. Two runs axe incorporated in the ANSYS model, corresponding to runs 3 and 4 in the SUPERPIPE model, References 1 and 2. Both the horizontal xun (run 3 in SUPERPIPE), and the vertical run (run 4 in SUPERPIPE), axe anchored at one end at element 91, end J: the nozzle to the regenerative heat exchanger.

The other end of the vertical run is anchored at element 90, end J: tlie reducer entrance to Auxiliary Clean Up Pump number 1. The othex end of the, horizontal run is anchored at element 44, end J, which is far enough along in the model such that the effects of the weld shxinkage are minimal, i.e., between 22 psi and 93 psi for the last four elements in this run.

BA ~Load in Based on the dimensions between established punch marks before and aftex welding (see Reference 6), the shrinkage due to the weld overlay is 1/8 inch in the'axial direction of the pipe. This displacement is modeled as an anchor motion of 0.125 inches in the negative Y-direction.

4.0 REFERENCES

1. SUPERPIPE Input, Calc. S14-33.3P01 Revision 02, Attachment A, Input File 033.X.

2. SUPERPIPE Output - electronic copy, Calc. S14-33.3P01 Revision 02, Attachment A, Input Pile 033.X.

3. NMPC Drawing No. F-26852-C, Revision 0, Sheet 5.

4. NMPC Drawing No. C-26852-C, Revision 7, Sheet 2.

5. NMPC Drawing No. C-26852-C, Revision 7, Sheet 1.

6. NMPC Work Order No. 97-02246-02, Detailed Workplan, page 9, step 2.1.

'I F'age&8 Rev.

0

,8-11-1997 11:27AM FROM MPR ASSQCJATES INC 783 519 8224 P. 11 filMPR MPR Associates, inc.

320 King Street Alexandria, VA 22314 Calculation No. Checked By 086-295-03 Page 1 of+

ATTACHMENTA ANNOYS Output. Table CALC. NO. Sf/ ZS-wo o- Page~~

Rev.

,8-11-1997 1>:274M FROM MPR ASSOCjATES INC 783 ~~9 @224 POSTl ELErDDe TABLE LISTING %wee ~ PAGE 2 of 2 STAT MIXED MIXED MIXED MIXED EIEM SMZ SMJ SPAGTZ SPAGZU 1 639.64 639.64 1.0000 1.0000 2 598.12 43S.06 1. 0000 1 ~ 0000 3 639.64 627.40 1.6428 1.6428 4 627.40 598. 12 l. 6428 1.6428 1.0000 5 324. 12 88.006 1. 0000 6 435.06 383' 49 1. 0000 1 ~ 0000 7 383.49 324.12 1.0000 1.0000 9 88.006 25.544 1.0000 1.0000 11 25.544 81. 396 1.0000 1.0000 13 81. 396 223.50 1.0000 1.0000 15 223e50 218. 85 1.0000 1.0000 16 218.85 206.78 1.0000 1.0000 17 206.78 206.77 1. 0000 1.0000 le 203.69 199. 68 1. 0000 l. 0000 19 206.77 205.07 1.6428 1.6428 20 205.07 203e69 1. 6428 1.6428 21 196. 85 197.08 1.0000 1 0000 22 23 199 '8 197.07 197.07 196. 85 1.0000 1.0000 F

1.0000 1 F 0000 25 197,08 198.80 1.0000 1.0000 26 198.80 201.81 l. 0000 1.0000 27 201.81 204.35 . ,1. 0000 1.0000 29 204.35 203.06 1 F 0000 1. 0000 30 191. 41 177.03 1.0000 1. 0000 31 203.06 198. 59 l. 0000 1.0000 32 19S. 59 191 41

~ 1.0000 1.0000 33 171 4 5

~ 171. 43 1.0000 1. 0000 34 177. 03 114. 36 1:6428 1 ~ 6428 35 174.36 171.45 1.6428 1. 6428 36 171.43 151.83 1.0000 1 ~ 0000 37 151. 83 lbs.78 1.0000 1.0000 39 108.78 96.846 1.0000 1.0000 41 96 '46 92.898 1.0000 1.0000 43 92.898 35a490 1. 0000 1. 0000 44 22 '93 22.524 1.0000 1 ~ 0000 45 35.490 29.403- 1.0000, 1.0000 46 29.403 22.493 1.0000 1.0000 47 1067. 9 637.82, 1.0000 1.0000 48 553.57 1043. 8 1.0000 i+oooo 49 63'2 485.94 1 ~ 6428 1.6428

1. 6428 1.64'28 50 485.94 553 F 51 51 1010.1 903.02 1.0000 1. 0000 52 1043 8 1120.1 l. 6428 1. 6428

l. 6428

~

53 1120.1 1010.7 1.6428 55 903.02 834.82 1,0000 1.0000 56 395.69 1058.5 1.0000 1.0000 57 834.82 538.80 1. 0000 1.0000 58 538.80 395'69 1.0000 1.0000 60 1058.5 1124.7 1.0000 1. 0000 62 1124.7 2161.6 1.0000 1.0000 65 2161. 6 371. 94 1.0000 1. 0000 68 371.94 497.40 1.0000 1.0000 69 586.50 648.48 1.0000 1.0000 70 497.40 542.65 1.0000 1 ~ 0000 71 542.65 586.50 1. 0000 1.0000 72 281. 37 199.37 1 0000 l. 0000 73 74 648 '8 618.11 618.71 281. 3'7

~

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76 199 o37 243.50 1. 0000 1. 0900 77 342.89 342. 81 1. 0000 1.0000 78 342. 81 205.02 l. 0000 1. 0000 0000 19 205.02 171.72 1. 0000 1 ~

80 243 50 335.83 1.6443 1. 6443 el 82 F

335.83 171. 72 342 '9 171. 79

1. 6443 1 ~ 0000 1 ~ 6443 1.0000 83 177. 82 187.18 1. 0000 1.0000 84 171.19 176. 86 . 1.6428 1.6428 85 176. 86 177. 82 1. 6428 1. 6428 86 177.54 372.64 1.0000 1.0000 87 187.18 195.62 2. 1527 2.1527 88 195. 62 177 54

~ 2. 1S27 2.1527 90 372.64 215. 77 1.0000 1.0000 91 92 657 '0 639.64 657.90 639.64

1. 0000

1. 2460

1. 0000 1.2460 93 1067. 9 1265.8 1. 2460 1.2460 94 657.90 745.32 1.2460 1.2460 MIMZMVM VALUES ELEM 44 46 1 I VALUE 22.493 22.493 1.0000 1.0000 MAXIMUM VALUES ELEM 65 62 87 87

~ram> >tKl. 6 2. l 627 2.1527 F

CALC. NO. </K-S r -~~ Page Rev.

8-11-1997 11:284M FROM htPR ASSPPyATES INC 783 519 822d P. 13 MPR Associates, Inc.

WMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared By Checked By Page 1 of $ 7 085-295-03 ArrAeHMErmS ANSYS Results Page CALC; NO. -SS-ldll r d Rev.

8-11-1997 11t28AM FROM MPR A99OC/ATE9 INC 783 519 8224 P. 14 Executing /ansys53/bin/usparc/ahsys.e53 Z/II 9JEr,coME TO T H B AN SYS PROGRAM

~ e e ~ e e e e ~ 0 e 0 I e t e e 1 'I e 0 0 k 1 e 1 0 I ANSYS 5.3 NOTICES 0 e

o 4 ~ ~ 1 1 e I e e t e t 1 ~

THIS ANSYS. INC. SOFTWARE PRODUCT (THB PRCGRAM) AND PROGRAM ~

DOC(JNENTATXON (DOCUNBJJTATION) ARE URtlISHBD BY ANSYS, 'INC ~ ~

UNDER AN ANSYS SOFTWARE LZCBJJSB AGREEi7 THAT COJJTAXNS PROVISIONS CONCERNING JJON-DISCLOSUREi COPYltlG, LEtlGTH AND NATURE OF USB, WARRANTIES, DISCLAIMERS AND REMEDIES, AND OTHER PROVISIONSa .THE PROGRtur AND DOCUMBNTATZON MAY B'8"

'USED OR COPXKD ONLY IN ACCORDANCE WITH THE TERMS 08'HAT

LICENSE AGREEMENT.

e I 0 Ir e f % * ~ v e I e e e e e e e ~ 4 e t I 0 0 8 e ~

The Progrme also contains the following licensed software)

cA&sx, 2004 s. wright st~eet. Urbana, XI 61821 Ph (217)244 7875 Fax (217) 244-7874

&SZ DOES tlOT GUARANTEE THE CORRECTNESS OR USBFULNBSS OF RESULTS OBTAINED USING PCGLSS ~ CA&SZ ZS NOT LZABLE FOR CONCLUSIONS OR ACTIONS BASED ON THE PZSULTS, ZT IS THE SPOtlSZBZLXTY OF THB USER TO CONFIRM THE ACCURACY AND

.USEFULNESS OF THE RESULTS.

~ I

e ~ t t 0 e ~ v e w v e e e

I '0 e ~ e 1 1 e e e e- ~

AtlSYS/Mechanical AFTER YOU 1(AVE READ AtlQ UNDERSTOOD THE PREVIOUS tlOTICBS, PRESS <CR> OR cENTERi TO CONTINUE tutsYS CotrNAND LZJJE ARCUMBJJTS ~*~~~

NQ JE trQTE ceo CPa 0.670 TIME~ 09t21t27 There are no parameters and no abbreviations defined.

40197CHG VERSXONsSOLARZS RELEASEe 5.3 UP071096 FOR SUPPOPT CALL Edward Bird pHONE 703-519-0410 FAX 703-519-0224 CURRENT QOBNANE file 09t21t27 AUG 08. 1997 CP~ 0.672 RUN SETUP PROCEDURE FROM FILE~ /ansys53/docu/start.ans

/ZtJPUT PZLBe /anayS53/dOCu/Start.ana r ZNE~

SET STARTUP OF THE MAZN AREA TO OFF SBT STARTUP OF THE 'TOOL AREA TO OFF BEGIN:

1 /BATCH, 1 1st 2 /fi lena+, rwcu 3 /pre p7 4

5 material properties np,ex,1,27.9o6 Jvp,nuxy,1.0.3 10 PUNIT. 1 Page CALC. NO. <A->S -Moio Rev.

8-11-1997 11:29A~ FROM MPR ASSOCIATES INC 783 619 8224 P. 15 13 type of pipe 14 POFT, b31. I 15 standard pepin% analysis foii~ino ANSI B31 I 16 17 BRANCH, I 18 RUN,, 1+3+1/4 RUM> 3+6>> 3+6 RUN>,, -4~10 23 FSPRNG>> >170>0,1>0 24 PUN... -I+11+I/O 25 PSPRNG...I.O,O,I ! snubbers axe set at kal to vie ually eliminata 25 RUN> ~ 1~1+3/4

~

27 PSPRNG, ~,1>-1>0 ~ 0 28 RVN> ..-2~8il/4 29 PSPRNG... Ie10, 0, 1. 0 30 RUN.. -0+ 9+ 1/4

~

31 VALVE,,2,835/386.4..1 32 RUN...-0+3+3/4 33 RUN, -ITS+3/8,, -li8+3/8 34 BWD... 0+9 35 RON>-1~3 36 BEND> ~ ,2+6 37 PSPPXC...1,0>1,0 38 RUN> I+ 5 39 VALVE,.'2.485/385.4,,1>

40 RUN, 1~5 41 PSPRNG>> ~ 680 '> I 0 42 RUN> 1~5+1/2 43 RUN, -Zt2+I/8, . 2+2+I/8 44 ~ 2+6 'ND>>

45 RUN>..0+3+3/4 46 BEND>> ~ 0~9 47 VALVE,,2,835/385.4. > I 48 RUN>> 4~5~1/4 49 PSPRNC...1 0 0> -1 ~

50 RUN> ~ > I+3 51 PSPRNG... I, -1, 0. 0 52 RUN>> 0+5 >

53 PSPRNC>> ~ 112>.0>1 0 54 RVN...7+9+1/2 RUN,-3, ~ 3 BEND , ~ 2+6 BRMfCH. I RUN>> > 2~3 RUN > ~ 3+2+ 1/2 B'END>> > 0+9 RUN... I+ I+I/2 63 BEND>> ~ 0+9 64 PSPRNC... 84, 0, 0 I, 65 RUN>> I+IO~I/2 66 RUN,0+41. 237,0. 0+19-229 67 BEND>> > 2 + 6 68 PSPRNG...l,'.906,0, .423 69 RVN,Oil. 813,0,0+ 845 ~

70 PSPRNG,, ~ 112 ~ 0, 1,0 71 RUN,0~27.869,0,0+12 72 FSPRNG... Ie10. 0, I, 0 73 PSPRNG...le10.0.423.0, 0.906 74 RUN>4.532.0,2.113 75 PSPRNC... Iel0, 0.l. 0 76 PSPMQ... Ie10, 0. 423. 0, -0. 906 77 RVN, 0+26. 283, 0, 0+12. 256 78 79 80 RUN, 3+10 BEND...2 RW>>, 3 81 BEND... 2+6 82 FS PRNC... Ie10, 0, 0, 1 83 RUN,, -2 84 RUN>0~9 85 VALVE,~ 2',835/386.4>> I 86 VALVE,,2~3+3/4.1100/386.4,, I 81 BEND. .0~8.988

~

88 RUN,0+3+3/4 89 RUN,O+9,,0+9 90 B END > ~ ~ 0 +9 91 RUN.. -2 92 BEND...O+6 93 PSPRNG... Ie10, 1,0,0 94 RVN>> -2+7 95 6 BRANCH, I 7 RUN>> -0+4+1/10000 I, NT...

~

9 TEE, 0> 5+5/8, 0>>5+5/8, 0+4 A A >>

Pago CALC. NQ. </4 -ZZ-My Rev.

g-] 1-1997 11:29AM FROM )1PR ASSOCIATES INC 783 519 8224 P. 16 103 d,57,all,o 104 d, 121, all, 0 105 d>122.all.o 106 d.122,uy,-.125 107 108 rmodi f, 16, 3, I. 2460, 1. 246O i 114

/viau. I, I, I, 1. 5 eplot alla el nlist CALt . NO. s'rX- s'z-r~oyg Page Z4 115 elist 116 dlist Rev.

117 118 save 119 finish 120 121 /solution 122 >

outpr, basic, all 123 antype, static 124 solve 125 save 126 finish 127 128 /postl 129 file. rucu, rst 130 set,last 131 esel, s, type,. I 132 esel,a, type,,2 133 esel, a, type, ', 4 134 e eel a, type>> 5 135 e table, smi, nmisc, 84 136 e table. st. nmisc, 85 ~

137 etable, s facti, nmisc, 81 138 enable.sfact),nmisc,82 ~

139 allsel 140 prctab. smi, smj, sfacti, sfactg 141 save 142 finish CURRENT JOBNAME REDBFZNED AS rwcu I

~~ ANSYS - ENGINEERZNC ANALYSIS SYSTEM RELEASE,S 3

~

/Mechanical CHG VERSIONsSOLARIS 09s21:27 AUC 08. 1997 CP= 0.777

. SUPPORT CALL Edward Bird pHOBE 703-519-0410 FAX 703-519-0224

~~~~ ~ ABSYS ANALYSIS DBPZNITZON (PREP7)

MATERIAL 1 EX >> ~ 0.2790000E~08 MATERIAL I NUXY e 0.3000000 USE FEETiINCH+FRACTION FOR THESE PZPINC COMMANDS-PDRAC BRANCH RUN BEND MITER REDUCER VALVE BELLOWS FLANGE PSPRINC PGAP USE INCHtFRACTZON FOR 'tHESE 'PZPZNC COMMANDS PIBSULATE PCORROSION PSPEC

~~ STFJLIGNT PIPE MATBRIAL AND DIMENSION SPECIFICATION ii USE MATERZAZ NUMBER I PIPE NOMINAL O.D. ~ 6 SCHEDULE ~ 80 PIPE O,D, ~ 6.6250 HALL THICKNESS e 0.43200 PZPINC ANALYSZS OPTION SELECTIOH ~ B31

..~ OPTIONS SELECTED .~~

ANSI B31.1 BRANCH POINT ZS NODE I GLOBAL X,Y,Z ~ 0.

DEFINE A RUN OF STRAIGHT PZPB DX>DY,DZ 0. 15.250 0~

NUMBER OF EIE))ENTS e I ENDING NODE NUMBER ~ 2 STARTINC ELEMENT NUMBER e I INCRP U>))T>> I NODE 2 X,Y,Z, >> 0 15 ' 0. IN,SYSTEM 0 TRAIGHT PIPE ELE))ENT I NODES DX,DY,DZ ~ '2.000PIPE NE A RUN OF STRAZCHT

'Ill>>e >> >>c'> olIc>Ypc 0.

PNDTvR; NDDR 42.000 Nl)wlee a ~

3

,8-11-1997 11:38JtM FRPW h>PR A8SPP~PTES INC 7@3 ~19 @224 P. 18 ATTACH A SPRING AT BODB 18 - TYPE TRAN SPRZtfG CONSTANT ~ 0.10000Eill DXrDYrDZ 12.000 ELEJKNT tRJHBER r 14 ODE 19 X.Y,K - 42.0 27.2 -170 ~ Itf SYSTEM 0 RZJJG ELEMEtlT 14 NODES 18 19 tiE A RUtl OF STRAICHT .PIPE DX.DY,DZ < 0. 0~ "9.2500 RJJfBER OF EIKKHTS ~ 1 ENDINC NODE NUMBER a 20 STARTZNC ELEMENT NUMBER 15 INCREMENT e 1 BODE 20 X.Y.Z e 42.0 15.2 -179. Itf SYSTEtf 0 STRAZGffT PZFE ELEMENT 15 NODES 18 20 INSERT A VALVE AT NODE 20 t EBCTH ~ 24.000 MASS ~ 2.1610 STRESS INTe FACTOR ~ 1.0000 FLBX. FACTOR e 1. 0000 INSULATION AREA AREA OF EQUAL LENGTH OF P1PE ELEMENT tfUHBER ~ 16 COMPONENT TO BE LOCATED AT Etfo OF ELEMENT 15 NODE 21 GLOBAL X, Y,Z 42.000 15. 250 202.75 VALVE ELRCEBT 16 NODES ~ 20 21 DEFZBE A RUff OF STRAIGHT PIPE DXrDY,DZ < 0. 0. -3.7500 tfUHSER OF ELEMENTS ~ 1 ENDING NODE NUMBER e 22 STARTZNC Ef EJOrtfT NUMBER ~ 17 INCREMENT ~ 1 NODE 22 X.Y,Z e 42.0 15.2 -206. ZN SYSTEM 0 STRAIGHT PZPE ELEMENT 1'7 NODES 21 22 D VINE A RUN OF STRAIGHT PIPE ~

DXr DY, DZ > -20. 375 0. -20.375 tfUJJSER OF ELEMENTS e 1 ENDING NODE NUMBER ~ 23 STARTINC ELEifENT NUMBER = 18 ZNCREHENT ~ 1 NODE 23 X,Y,Z ~ 21.6 15' -227 ~ IN SYSTEM 0 STRAIGHT PIPE ELEMENT 18 NODES 22 23 RT CURVED PIPE ELEMENTS BETWEEN ELEMENTS 17 AND 18 BErVD RADIUS ~ 9.0000 JfoÃOER OF ELEMENTS a 2 STARTINC ELEMENT tfUHSER a 19 INCREMENT a 1 BEND FLEXIBILITYFACTOR + ~ 4 '6911 (tfo PRESSURB TERM USED)

BODB 24 GLOBAL X,Y,Z = 33.000 15.250 -202.77 tfODE 25 GLOBAL XrYrz ~ 42 000 15.250 -202.77 NODE 26 GLOBAL X;Y.Z 41.315 15.250 206.22 CURVED PIPE ELEMENT 19 NODES 25 26 24 NODE 2't GLOffhfr X Y,Z 39.364 15.250 209.14 CURVED PIPE ELEMENT 20 "NODES 26 27 24 STRAIGHT PZPE ELEMENT 17 NEW NODES. 21 25 STRAIGHT PZPB ELEMENT 18 NEW NODES 27 23 I)EFZNE A RUN OF STRAIGHT PZPE DX,DYrDZ > "15.000 0. 0.

NotfSER OF EIMEtfTS ~ ENDING NODE NOHSER ~ 28 STARTING ELEMENT tfotmER 1

21 INCREMENT i 1 NODE 28 X,Y,Z ~ 6.62 15.2 -227r IN SYSTEH 0 STRAZGMT PIPE ELEMENT 21 NODES 23 28 INSERT CURVED PIPE ELEMENTS BETWEEN ELEMENTS 18 AND 21 BEtfO RADIUS 30. 000 NUMBER OF ELEMENTS ~ 2 STARTZNC ELEMENT NUMBBR ~ 22 INCREMENT re 1 BEkfO FLEXIBILITYPACTOR ~ 1.22073

{tfo PRESSURE TEJOf USED)

NODE 29 GLOBAL X Y.Z 9.1986 15. 250 196.88 NODE 30 GLOBAL X,Y,Z I 30.412 15.250 -218. 09 tlobE 31 GLOBAL X, Y,Z e 20 ~ 679 15.250. -224.59 CURVED PIPE ELEMENT 22 NODES 30 31 29 tfOOE 32 GLOBAL X, Y,Z ~ 9.1986 15 ~ 250 -226.88 CURVED PIPE ELEMENT 23 tfODES 31 32 29 STRAIC11T PZPE ELKff5tfT 18 NEW NODES 27 30 STJrJI,ZGHT PIPE ELEMENT 21 NEW NODES 32 28 CH A SPFING ~

I AT t1ODE

~

28 - TYPE i TRAN SPRING CONSTANT rr 1 ~

F 0000 DX,DY,DZ

~I I ~ 0: ~1 12. 000 0.

Page CAt C. NO. ~~<- ~ -<<pro Rev. 0

8-11-1997 11t384M FROM MPR A9SPCIATES INC 783 519 8224 SPRING ELEMENT 24 tlODES 28 33 DEFlttE A RUtl OF STRAZGHT PIPE DX,DY.DZ i -17.000 1

0. 0.

NUMMR OF ELEMttttTS' ENDING hQDE STARTlttG ELMKCT NUMBER m E 34 X,Y,Z ii -10.4 ZGHT PZPK ELEMENT 25

~

25 IttCttEMENT NODES 15.2 28

-227 'N SYSTEM 0 INSERT A VALVE AT tiOOE 34 LENGTH ~ 24.000 MASS a 1.2584 STRESS INT. FACTOR. ~ 1.0000 FLEX. FACI'OR ~ 1.0000

'6 ZNSULATZQN AREA = AREA OF EQUAL LENGTH OF PIPE ELEMENT NUttBER >

COMPONENT TO BE LOCATED AT END OF ELEMENT 25 ttODE 35 Gl,OBAL X.Y,Z ~ -34.375 15. 250 -226.88 VALVE ELEttEAT 26 NODES 34 35 DEFINE A RUN OF STRAIGHT'IPE DX,DY,DZ -17.000 0. 0.

tlUMB'ER OF ELEMENTS N 1 END HG NODE ttVMBER - 36 STARTING ELEMENT NUMBER w 27 INCREMENT ~ 1 NODE 36 Xi YiZ + 51 4 15.2 -227. IN SYSTEM 0 STRAIGHT PIPE ELEMENT 27 NODES 35 36 AT,"ACH A SPRING AT NODE 36 TYPE TRAN SPRING CONSTANT m, 680.00 DX,DY.DL Ni 0. . 12.000 ELEMENT NUMBER ~ 28 NODE 37 X,Y,Z ~ -51.4 ~ 27,2 "227. IN SYSTEM 0 SPRING ELEMENT 28 NODES 36 37 DEFINE A RUN OF STRAIGHT PIPE DX,DY>DZ ii 17.500 0. 0.

NUMBER OF ELEMENTS e 1 ENDING NODB NUMBER ~ 38 SYAKTIttG EI EiiT ttUMBER ~ 29 INCREMEttT ~ 1 NODE 38 X,Y.Z ~ < -68.9 ~ 15.2 -227. IN SYSTEM 0 STRAIGHT PIPE ELEMENT 29 NODES 36 38 A RUN OF STRAIGHT PIPE DX,DY,DZ a 26.125 0. 26.125 1BJMBER OF ELEMENTS = 1 ENDING NQDE )PJMSER m 39 STMtTZNG ELEMENT NUMBER ~ 30 ZttCamZttT = 1

'tlODE 39 X,Y,Z < -95 0 ~ l.S. 2 201. IN SYSTEM 0 STRAIGHT PZPE ELKttE-'tP 30 HODES 38 39 INSERT CURVED PIPE ELEttEttTS BETWEEN ELEMiENTS 29 AND 30 BEAD RADIUS ~ 30.000

)ROBER Ol'lEMENI'S = 2 SI'ARTING ELEKKT NUMBER ii 31 INCRB)tENT tt 1 BEND FLEXIBILITY'FACTOR ~ 1.22073

{NO PR'ESSURE TERH USED)

NODE 40 GLOBAL X.Y,Z ~ -56.449 15.250 -196.88 NODE 41 GlOBAL X,Y,Z "56.449 15.250 226.88 NODE 42 'GLOBAL X,Y,K 67.929 15. 250 -224.59 CURVED PIPE El EMEttT 31 NODES 4), 42 40 NODE 43 GLOBAL X,Y.Z i -77 .662 15 '50 -218.09 40 CURVED PIPE ELEMENT 32 NODES 42 43 STRAIGHT PIPE ELEMEAT 29 ttEW NODES 36 41 STRAIGHT PIPE ELEMENT 30 NEW NODES 43 39 DEFINE A RUN OF STRAIGHT PZPE DX.DY. DZ ii 0. 0. 3.7500 ttUMBER OF EI.EHENTS ~ 1 ENDZttG tlODE NUMBER s 44 STARTING ELEMENT NUMBER < 33 INCREMENT ~ 1 NODE 44 XiYiZ N -95 ' 15.2 -197. IN SYSTEM 0 STRAIGHT PIPE ELEMENT 33 NODES 39 44 INSERT CURVED PIPE ELEttENTS BETWEEN ELEMENTS 30 AND 33 BFtlD RADIUS ~ 9.0000 NUMBER OF ELEME)tiS ~ 2 STARTING EL'EtENT NUMBER >. 34 Itl REMENT e 1 BEttD PLEXZBZLZTY FACTOR ~ 4.06911 ttQ PRESStJRK TERM USED)

E 45 GLOBAL XiYiZ - 86i000 15.250 -197. 02 E 46 GLOBAL X, Y.Z ~ -92.364 15.250 -203.39 DE 41 GLOBAL X, Y, Z -94,315 15.250 -200.47 Page CALC. NO S/4-Z>-~oro Rev.

8-11-1997 11:31AM FRCN MPR Ay+Of [AT+9 INC 783 519 8224 P. 28 STRAIGHT PIPE ELEMEffT 30 NEW NODES 43 46 STRAIGHT PIPE BLEMEÃP 33 NEW NODES 48 44 INSERT A VALVE AT NODE 44 LENGTH c 24.000 MASS c 2.1666 STRESS ZNT. FACTOR 1.0000 FLEX. FACTOR ~ 1. 0000 IELEMENT'UMBER c fSULATIOff AREA ~ AREA OF EQUAL LJDJGTM OF 36 OMPONENT TO BE LOCATED AT EffD OF 49 GLOBAL X,Y,Z c -95.000 ELEMENT'ODE 15 '50 -173.00 VAlVE EIENKÃT 36 NODES 44 49 DEFZNE A RUN OF STRAIGHT PIPE DX,DY<DZ ~ 0. 0 ~ 53.250 NUMBER OF ELEMENTS c ENDING NODE NJMBER = 50 STARTIHQ ELEMElfT NUMBER ~ 37 INCREMENT c 1 50 X, Ypz c -9S 0, NODE ~ 15. 2 120. IN SYSTEM 0 STRAIGHT PIPE ELEMENT 37 NODES 49 50 ATTACH A SPRING AT NODE 50 - TYPE c TRAN SPRING CONSTANT c 1.0000 DX.DY.DZ c 0. -12. 000 ELEMENT NUMBER c 38

-95.0 15.2 -132 IN NODE 51 SPRING ELEffENT '8 X, Y,Z c NODES 50 51 SYSTEM 0 DEFINE A RUN OF STRAIGHT PIPE DX,DY,DZ c 0. 0. 15 000 F

NUMBER OF ELEMEHTS c 1 ENDING tfODE NUMBER c 52 STARTINQ ELEMENT NUMBER c 39 INCREMENT c 1 NODE 52 XiYiz c -95 '

STRAIGHT PIPE ElBMBNT '9 HODES 15.2 50 105.

52 IN SYSTEM 0 ATTACH A SPRING AT NODE 52 TYPE ~ TRAN SPRING CONSTANT c 1 F 0000 DX,DY.DZ ~ -12.000 0, 0.

ELEMENT NUMBER c 40 llODE RIlfQ EIEMENT '0 53 X,Yg Z c -107.

NODES 15.2 52

-105.

53 ZN SYSTEM 0 A RUN OF STRAIGHT PIPE DX, DY, DZ c 0. 0. 5.0000 NUMBER OF ELEMENTS = 1 ENDING NODE NUMBER c 54 START~ ELEMEJJT NUMBER w 41 INCREffENT c 1 NODE 54 X,Y,Z c -95.0 15.2 ~99.8 ZN SYSTEM '0 STRAZOHT PZPE ELBMENT 41 NODES 52 54 .

ATTACH A SPRZlfG AT NODE 54 - TYPE c TRAN SPRING CONSTANT c II2.00 DX,DY,DZ 0 ~ 12 ~ 000 Oa ELEMENT NUMBER c 42 BODB 55 X Y Z -95 0 27 ' -99 ~ 8 ZN SYSTEM 0 SPRING ELEMENT 42 NODES 54 55 DEFINE A FUN OF STRAIGHT PIPE DX,DY,DZ c 0. 93.500 tlUMBER OF ELEMENTS c 1 ENDING NODE NUMBER c 56 STARTING ELEMENT NUMBER c 43 INCREMENT + 1 NODE $6 X.Y.Z c 95.0 15.2 -6. 2S IN SYSTEM 0 STRAIGHT PIPE BLEMENT 43 NODES 54 56 DEFINE A RUN OF STRAIGHT PIPE DX.DY.DZ c -36e000 0. 36.000 NUMBER OP ELEMEFiS ~ 1 ENDING NODE NUMBER' 57 STARTINQ ELEMENT NUMBER 44 INCREMENT ~ 1 NODE 57 Xi Yez c -131. 15. 2 29 a 8 IN SYSTEM 0 STRAIGHT PIPE ELEMENT 44 NODES 56 57 INSERT CURVED PIPE El'EMENTS BETWEEN ELEMENTS 43 AND 44 BBJJD RADIUS c 30.000 ffUMBER OF ELEMENTS c 2 STARTINQ EIEMENT NUMBER c 45 INCREMENT ~ 1 BEND FLEXIBILITYFACTOR c 1.22073 NO PRESSURE TE1Qf USED) 58 GLOBAL X.Y. Z c -125. 00 15. 250 -1'76 DE 59 GLOBAL X,Y,Z c 95.000 15.250 -18.676 Te ch c1 Achf, Y Y c s'47, 7R4 15.250 -7.1050 Page Rev.

,8-11-1997 11 t31At4 FROM hPR ASSOCIATES INC 783 519 8224 P. 21 PIPE ELEMENT r 46 NODBS 61 58 CURVED STRAIGHT PZPB ELEMENT 43 'EW NODES 54 59 STRAIGHT PIPE KLKHKNT 44 NEW NOD??S 61 57 BRANCH POINT ZS NOD'E 1 PREVZOUSI Y DEFINED AT, GLOBAL Xr Yr Z

0. 0. 0<

A RUN OP STRAICHT PZPB-DX,'DY,DZ r tfUNPER OF EIEMKNTS -

START ZNC KLEltEtfT NUMBER =

0.

1 0.

ENDZNG NODE NUMBER a 47 INCREMENT 27.000

'2 NOD8 62 X,Y,Z'~ 0. 0. 27 0 ~ IN SYSTEM .0 STRAIGHT PIPE ELEtfBtlT 4'J NODES 1 62 DEFINE A RUN OF STRAIGHT PIPE DX.DY, DZ ~ 0. ' 38.500, 0.

NUMBER OF KLEHKt?TS + ENDING tfODB NUMBER m 63 STARTING ELEMENT NUMBER > 48 ZNCRKMEttT m NOOK 63 XYZ= 0 ~ 38.5 27.0 IN SYSTEM 0 STRAIGliT PIPE EI EMBNT 48 NODES 62 63 INSERT CURVED PIPE BLEHENTS B-TWEEN ELF"lENTS 47 AND 48 BEND PJLDZUS ~ 9.0000 ttUtfBER OF ELEMENTS 2 STARTING ELEMENT NUttBER i 49 IifCREtmT s 1 BEND FLEXIBILITYFACTOR a 4.06911 (ffO PRESSURlf TERM USED)

NODE 64 GIOBAL Xr Y,Z a 0 ~ 9, 0000 18.000 NODE 65 GIOBAL X,Y<Z ~ 0. 0 ~ 18.000 tlODE 66 GLOBAL X,Y,Z % 0. 2.6360 24.364 CURVED PZPK KLEMEtfi'9 NODES 65 66 64 27.000 NODE 67 GLOJtAL X<Y,Z 0 ~ 9.0000 CURVED PZPK ELEMENT 50 NODES 66 67 64 STRAIGHT PIPE EIEMKNT 47 NEW NODES 1 65 STRAZGJ?T PZPE ELEHEtlT ~ 48 NEW NODES 67 63 DEFINE A RUN OF STRAICHT PIPE

13. 500 DX,DY,DZ ~

tfUMSBR OF BI EMRfTS 1 0.

1 0.

EÃDZNC NODE tlUMBER 51 INCREMENT ~

<<68 STARTINC ELEMENT NUMBER > 1 E 68 X Y Z ~~ 0.

~

38 AS 40.5 ZN SYSTEM 0 ICHT PIPE ELKMJ?ttT'1 NODES 63 68 ZttSERT CURVED PZPE ELEMENTS BKZ?fEEtf ELEMENTS 48 AND Sl BEtfD RADIUS a 9.0000

~

tfUMBER OF ELEMENTS ~ 2 STARTZNG KLEMKIT NUMBER ~ 52 ZNCREtQ?NT ~ 1 BKtfD FLJ?XZBILITY PACTOR = 4. 06911 ftfO PRESSURE TEJUf USED)

NOD'8 69 GLOBAL X, Y,Z ~ 0. 29.500 36.000 NODB 70 GLOBAL X.Y.Z ~ ~ 0. 29.500 ~00 29.636 71 GLOBAL Xr Y 2 ~ 35.864

<<0.

NODE 0~

CURVED PIPE ELEMENT 52 NODES 'JO 71 69 tlQDK 72 CLOBAl X.Y,Z 38.500 36.000 CURVED PIPE ELEMENT 53 NODES 71 72 69 STRAIGHT I'ZPE ELEMENT 48 ttKW NO'OBS 67 70 STRAIGHT PIPE ELKHENT 51 NEW NODES 72 68 ATTACH A SPRING AT NODB 68 - TYPE m TRAN SPRING CONSTAtfT ~ 84.000 DX<DY,DZ O. 12. 000 0.

EI EMKNT NUMBER e 54 NODE 'J3 X,Y,Z > 0. SO.S 40.S IN SYSTEM 0 SPRING ELEMENT 54 NODES 68 73 DBFZNB A RUN OF STRAIGHT PIPE DX DY DZ ~ 0~ 22.500 lftJHJJER OF ELEMB?fTS m . 1 KNDZttC tfODE NUMBER ~ 74 STARTZNG t?LKHJ?NT NUMBER ~ 55 INCREMENT ~ 1 NODS 74 X,Y,Z ~ O.. 38.5 63<0 ZN SYSTEM 0 STRAIGHT PIPE KLKJJENT 55 NODES 68 74 DEFINE A RUN OF STRAIGHT PIPE DX,DY,DZ c NUMBER OF ELEMENTS STARTING ELEMENT NUMBER ~

<<1 41.237 56 0~

ENDING tfODB NUMBER ~

INCREMENT w 19.229 1

75 DE 75 XYZ ~ 412 38.5 82.2 ZN SYSTEM 0 ZCHT PIPE ELK?r<EttT 56 NODES 74 75 Page CALC. NO. <l -~s- moro Rev.

9-11-1997 11 t32AM FRY MPR A99QcjATES INC 783 519 8224 P. 22 NUMBER OF ELEMENTS a B R 57 INCREMENT a 1 SEttD FLEXZBILITYFACTOR a 1. 22073 (NO PRESSURE TERM USED)

NODE 76 CLOBAL X, YkZ a 30.000 38.500 43.888 ODB 77 GLOBAL X>Y,Z a a

0. 38 500 F 43 '88 DE 78 GLOBAL X,YiZ 4 ~ 6983 38 F 500 60.007

.VED PZPB ELEMEii'7 NODES 77 76 DE 79 GLOBAL x, Y,z a 3,7,322 38.500 71.077 CURVED PZPE ELEHEÃI'8 NODES 78 79 76 STRAICHT PIPE ELENEttT SS NEW NODES 68 77 STRAIGHT PIPE EtEMENT 55 NEW NODES 79 75 ATTACH A SPRZNG AT NODE 75 TYPE TRAN SPRING CONSTANT a 1.0000 DXkDY.DZ a 10 '72 Ok 5 '760 ELEMENT NUMBER 59 NODE 80 X, Y,Z 52.1 38. 5 8'7 ~ 3 ZN SYSTEM 0 SPRING ELEMENT 59 NODES 75 80 DEFIttB A RUN OF STRAIGHT PZPE DX,DY,DZ ~ 1.8130 0. 0.84500 NUHBER OF ELEMEltTS a 1 ENDIhC NODE 1tUkkBER a 81 STARTZNC MtENT SiltBER a 60 INCREMENT a 1 NODE 81 X, Y,Z 43.1 38.5 83. 1 ZN SYSTEM 0 STPAZGHT PZPE ELEMENT 60 NODES 75 81 7

ATTACH A SPRING AT NODE 81 TYPE a TRAN SPRING CONSTANT a 112.00 DX,DY,DZ a 0. 12 000 F 0.

ELEMENT NUMBER a 61 NODE 82 XiYrZ 43.1 50.5 83.1 IN SYSTEM 0 SPRING ELEMENT 61 NODESk 81 82 DEFINE A RUN OF STRAIGHT PIPB DX.DY,DZ a 27 '69 0. 12 F 000 NUI&ER OF ELEMENTS a 1 ENDING NODE NUMBER a 83 STARTING ELEMENT NUMBER a 62 ZNCREttENT s 1 NODE 83 X,Y,Z = 70 9 ~ 38.5 95.1 IN SYSTEM 0 TRAIGHT PIPE ELElmT 62 NODES 81 83 A SPRING AT NODB 83 - TYPE a TRAN SPRING CONSTAttT = 0. 10000E<<11 DX,DY,DZ.H 0. . 12.000 ELKfgHT NUMBER a 63 NODE 84 XYZ a 709 50 ' 95.1 IN SYSTEM 0 SPRZNC ELEMENT 63 NODES 83 84 ATTACH A SPRING AT NODE .83 - TYPE a TRAN SPRING CONSTANT = Ok10000B<<11 DX,DY,DZ a 5.0760 . 0. 10.872 Et EMENT NUMBER a 64 NODE 85 X, Y,Z > 76,0 38. 5 84.2 IN SYSTEMS 0 SPRING ELEMENT 64 NODES 83 85 DEFINE A RUN OF STRAIGHT PIPE DXkDYkDZ = 54.384 0, 25.356 NUMBER OF ELEMENTS a 1 ENDZNC NODE NUMBER a 86 STARTINC ELEMEtlT NUMBER a 65 INCREMENT a 1 86 X.Y,Z a 125. 38.5 120.

'ODE IN SYSTEM 0 STRAIGHT PIPE ELEMENT 65 NODES . 83 86 ATTACH A SPRING AT NODE 86 - TYPE a TRAN SPRING CONSTANT a 0 10000E+11 DXkDY,DZ a 0. 12. 000 ELEMENT NUMBER a ~ 66 NODE 87 X, Y,Z a 125. 50.5 120 k ZN SYSTEM 0 SPRING Et EMEH1 66 NODES 86 87 ATTACH h SPRING AT NODE 86 TYPE a TRAN SPRING CONSTANT a 0.10000E+11 DX,DY.DZ a 5.0760 0. <<10. 872

'Et EMENT NUMBER a 67 ~

ODE 88 X,Y,Z a 130 38.5 110. ZN SYSTEM 0 ELEMENT 67 NODES 'INC 86 88 NE A RUN Or STRAZCHT PIPE DX.DY.DZ a 26.283 12.256 Page Plev.

,8-11-1997 11 532AM FRCN h1PR A9SPC1ATE9 [NC 783 519 8224. P. 23 tlODK 89 X,Y,Z ~ 15'2 ~ 38r5 133, Ztf SYSTEM 0 11 /5'1 STRAIGHT PIPE ELEMENT 68 NODES 86 89 DEFZtlK A RUN OP STRAIGHT PIPE DX,DY,DZ a 46.000 0. 0.

NUJ555KR OP ELR{ENTS a EHDIHC NODE NUMBER o STARTItlG Ef EMENT NUMBBR a 69 INCREMENT a 1 DK 90 X,Y.Z a 19'" 38.5 133. Itl SYSTEH 0 TRAICHT PIPE ELEMEtfT 69 NODES 89 90 ZJJSERT CURVED PIPE ELEMENTS BKT55KEH KLKtfKHTS 68 Allo 69 BKtlD RADIUS = 30 ~ 000 NUMBER OF BLKMEHTS STARTING KLKJJKHT BU5555KR a 70 XHCREMKHT a BEND FLEXZBZLITY FACTOR a 1.22073 (NO PRESSURE 'TERM USED)

NODE 91 CLOBAL X,Y,Z a 158.24 38.500 102.69 NODE 92 GfOBAf X,Y,Z a 145.56 38.500 129. 88 NODE 93 CIOBAL XrY,Z a 151r74 38.500 131.97 CURVED PIPE ELEMENT 70 NODES 92 93 91 NODE 94 GLOBAL X,Y,Z 158.24 38.500 132.69 '1 CURVED PIF ELEMENT 71 NODES 93 94 STRAXGHT PXPE ELEMiENT 68 NEtf NODES 86 92 STRAIGHT PIPE ELEHiEtlT 69 NEW NODES 94 90 DEPItlE A RUtf OF STRAIGHT PXPE DX,DYrDZ ~ ,0. '

-36 000 F 0

~

NUMBER OF KLKtfKHTS -. . EBDZNC HODK tRJMBER 95 STARTXHC ELEMENT NJMBER a 72 INCREMENT a 1 tfODE 95 X.Y,Z a 198. 2.50 133 IN SYSTEM 0 STRAIGHT PIPE ELEMENT 72 NODES 90 95 INSERT CURVED PIPE KLKMStfTS BETWEEN ELEMENTS 69 AND 72 BKtfD RADIUS a 30 ~ 000 NUMBER OF ELKJJEHTS a 2 STARTXNC ELKMEtfT NUMBBR 73 ZtfCRKMKNT I SEND Ff, XXBZLITY FACTOR 1.22073 (NO PRESSURE TERM USED)

NODE 96 GLOBAL X,Y,Z 167.59 8.5000 132.69 ODE E

97 GLOBAL Xi' 98 CLOBAL X,Y.Z a 188 a 167 '9

'0 38.500 29.713'7 132.69 132. 69 VKD PZPK KfKJJKtfT 73 NODES 98 95 DE 99 CLOPAL X,Y,Z a 197.59 8.5000 132. 69 CURVED PZPK ELEMENT 74 NODES 98 99 96 STRAZCHT PIPE ELEHEHT 69 NEW NODES 94 97 STRAZGHT PIPE ELEMKtfT 72 NEW BODES 99 95 ATTACH A SPRING AT hODE 95 - TYPE a TRAN SPRZHC CONSTANT 0 ~ 10000K+I 1 DX DY DZ a 0. 0. 12.000 KLKtfKtfX'Ot5BKR~ 75 NOOK 100 X,Y,Z, a 198. 2.50 145. XN SYSTEM 0 SPRINC ELEMENT 75 NODES 95 100 DEFINE A RUtf OF STRAIGHT PIPE DXrDY,DZ 0~ -24.000 Or tPJNBER OF ELKl5KHTS a 1 KNDZBG NODE NUMBER a 101 STARTZMC ELEMENT NUMBER a 76 INCREMENT ~ 1 tlODE 101 X, Y, Z a 198. -21.5 133. IN SYSTEM 0 STRAICHT PIPE EIEMEHT 76 NODES 95 101 DEFINE A RUtl OP STRAIGHT PIPE DX.DY,DZ a 9.0000 0. 0.

'tfUMBER OP ELEMENTS a 1 EHDZifC NODE NUtCJKR a 102 STARTING KLKMKtfT NUMJJKR a 77 Xt'CREHEHT a 1 NODE 102 X, Y,Z STRAIGHT PZPK ELEMENT a

'7 207 ~

NODES

-21r5 101 133r 102 IN SYSTEM 0 ZiNSKRT A VALVE AT NOD'E 102 LKtfGTtf = 24.000 MASS a 2.1610 STRESS ZHT. PACTOR a 1.0000 FLEX. FACTOR a 1 0000

~

ItfSULATZOH AREA a AREA OF EQUAL LEHGTH OF PIPE ELEMENT NUMBER a 78 COMPONENT TO BE LOCATED AT Kt'ID OF ELEMENT 77 DE 103 GLOBAL X.Y.Z a 230.S9 -21. 500 132.69 LVK KLKMKHT 78 NODES 102 103 on s ararnta an aonno sh1 Page CALC NO S~4-z3-<<<<

Rev. 0

v8-11-1997 11l33AM FROM MPR P99PO~gyE9 INC 783 619 8224 P. 24 STRESS ZNT. FACTOR a 1.0000 ZNSULATZOTT AREA 'a AREA OF EQUAL LETTGTH PF PIPE PLEX. PACTOR a 1 F 0000 IZ/~(

ELuee NUMBER a 79 COMPONENT TO BB LOCATED AT ETTD OF ELElgmr NODE 104 GLOBAL XiYrZ - 258.34 -21. 500 132.69 VALVE ET EMEHT ~ ~

79 NODES 104 AT CURVED PIPE ELEMENTS BETWEEN ELEMENTS BE)ID RADIUS a 8 ~ 9880 76 ~ 77 NUMBER OF ELEMEHTS STARTING ELEMENT NUMBER a 80 INCREMENT 1 BEND PLEXZBILITY FACTOR 4.07455 (HO PRESSURE TERM USED)

TTODE 105 GLOBAL X.Y,Z 206.57 -12. 512 132 69

~

TJODE 106 GLOBAL X,YiZ a 197.59 -12.512 132.69 NODE 107 CLOBAI X.Y,Z a 200.22 -18.867 132. 69 CURVED PIPE ELEMEHT 80 NODES 106 107 105 NODE 108 CLOBAT X,YpZ a 206.57 -21.500 132. 69 CURVED PIPE ELEMENT 81 NODES 107 I.08 105 STRAIGHT PIPE ELEMENT 75 hEW NODES 95 106 STRAIGHT PIPE ELEMENT 77 NEW NODES 108 102 DEFINE A RUN OF STRAIGHT PIPE DX.DY,DZ 3.7500 0. 0.

TJUMBER OF ELEMEHTS a 1 ENDING NODE TWNBER a 109 STARTITJC EI EMENT NUMBER a 82 INCREMENT - 1 TJODE 109 X.Y.Z i 262.. ~21.5 104 133.

109 IN SYSTEM 0 STRAIGHT PIPE ELEMENT 82 NODES DEFINE A RUN OF STRAIGHT PIPE DX,DY,DZ a 9.0000 0 ~ 9.0000 NUMBER OF ELEMENTS a 1 ENDING NODE NUMBER a 110 STARTITJC ELEMENT NUMBER a 83 INCREMEHT a 1 NODE 110 X, Y, Z 271 ~ 21. 5 142. IN SYSTEM '

STRAIGHT PIPE ELEMENT 83 HODES 109 110 INSERT CURVED PIPE ELEMENTS BETWEEN ELEMENTS 82 AND 83 BEND RADIUS a 9.0000 tTUMBER OF BLIGHTS a . 2 STARTING ELEMENT NUMBER a 84 INCREMENT a 1 FLEXZBZLZTY FACTOR - 4.06911 NO PRESSURE TERM USED)

DE 111 GLOBAL X,Y,Z a 258.36 -21. 500 141. 69 NODE 112 GLOBAL X,Y,Z a 258.36 -21. 500 132.69 NODE 113 GLOBAL X, Y Z a 261.80 -21 500

~ 133.37 CURVED PIPE ELEMETJT 84 NODES 112 113 111 NODE 114 GLOBAL X,Y,Z a 264.72 -21. 500 13S. 32 CURVED PIPE ELEMENT 85 NODES 113 114 111 STRAIGHT PIPE ELEMENT 82 NEW NODES 104 112 STRAZCHT PIPE ELEMENT 83 NEW NODES 114 110 DEFINE A FUN OF STRAIGHT PIPB ~

DX.DY,DZ 0. 24.000 0.

NU?TBER OF EI,EMEHTS a 1 ~ EHDZNQ NODE NUMBER a 115 STARTING ELEMENT NUTTBER a 86 ZNCREMEHT a 1 NODE 115 X,Y,Z STRAZCHT PZPB ELEMENT" 271

'45.5 86 NODES 110 142 ~

115 IN SYSTEM 0 INS'ERT CURVED PIPE ELEMENTS BETWEEN BLEMEHTS 83 AND 86 BEND RADIUS a a

6.0000'UMBER OF ELEMENTS 2 STARTZNC ELEMENT NUMBER a,. 87 INCREHEHT a 1 BEND FLEXIBZT ZTY FACTOR ~ 6. 10367 (NO PRESSURE TERM USED)

NODE 116 GLOBAL X,Y,Z a 266.84 -27.500 137. 44 NODE NODE 117 GLOBAL X,Y.Z a 266 118 GLOBAI X,Y,Z 269.84

'4 -21.500

-23.257 137.44 140o44 CURVED PIPE ELEMENT 87 NODES 117 118 116 NODE 119 GLOBAL X,Y,K a 271.09 -27.500 141. 69 CURVED PIPE ELEMENT 88 NODES 118 119 116 STRAIGHT PIPE ELEMENT '83 NEW NODBS 114 117 STRAZCHT PIPE ELEMENT 86 NEW NODES 119 115 ATTACH A SPRING AT hODE SPRINC CONSTANT a 115,

0. 10000Ea11 TYPE a TRAN DX,DY,DZ a 12.000 0. 0.,

ELl&E?TT E NURSER a 89 DE 120 X,Y,Z

~ ~

a 283. 45 ' 142 ZN SYSTEM 0 PRING SLEMETJT 89 NODES 115 '20 Page 3 J-CALO. NO.

Rev.

8-11-1997 11:33AM FROM MPR A9SOC1ATE9 >NC 783 519 8224 P. 25 1

NUMBER OF ELEMENTS ~ 1 ENDING NODE NUMBER ~ 121 STARTZlfQ ELEMENT NUMBER ~ 90 INCREMENT HOLE 121 X, Y, Z ~ 271. -76. 5 142 XN SYSTEM STRAIGHT PZPE ELmfENT, 90 NODES 115 121

'fCH POINT IS NODE PREVZOVSLX DEFINED AT GLOBAL X, Y, Z

0. 0. 0.

INE A Rtfff OF STRAIGHT PZPE ~

DX, DY, DZ 0. -410001 0.

NUMBER OP ELEMENTS ~ 1 ENDZBQ NODE lfVMBBR ~ 122 STARTING ELEMENT NUMBER ~ 91 IlfCREMEHT ~

lfODE 122 X, Y, 8 ~ 0. -F 00 0. IN SYSTEM 0 STRAIGlfT PIPE ELEMENT 91 NODES 1 122 INSERT 3 TEE ZEG ELEMENTS AT NODE 1 TYPE STPutTZIJG EIEMENT ?IVMBER w 92 INCRBHBNT w 1 LEG LEIJQTHS = 5 '250 5.6250 4o0000 TEE LEQ 1 STPXSS ZNT. FACTOR ~ 3..2460 lfODE 123 GLOBAL X, Y,Z 0. 5.6250 TEE LEQ ELEMENT 92 NODES 123 1 STRAIGHT PZPE ELEMENT 1 NEW NODES 123 TEE I,EQ 2 STRESS ZNT. FACTOR 1.2460 NODE 124 CLOBAL X,Y, Z ~ 0. 0 ~ 5.5250 TBB LEG ELEMEffT 93 NODES 124 1 STRAIGffT PIPE ELEMENT'7 NEW NODES 124 65 TEE LEG 3 STRESS INT. FACTOR e 1.2460 NODE 125 GLOBAL XiYrZ 0~ -4.0000 TEE LEC ELEMENT 94 NODES 125 1 STRAIGHT PIPE ELEMENT 91 NEW NODES 125 122 ATTACH A SPRING AT NODE 98 - TYPE TRAN sPRINC CONSTANT ~ 300.00 DX, DY,DZ ~ 0. 12.000 BI~MENT NUMBER ~ 9$

NODE 125 X;Y,Z ~ 189. 41. 7 133 ~ IN SYSTEM 0 SPRING ELEMENT 95 NODES 98 126 ATTACH A SPRZNG AT NODE 113 - TYPE ~ TRAN SPRING CONSTANT ~ 340.00 I DX.DY.DZ a 0. 12.000 0 ELEMENT NUMBER ~ 96 BODE 127 X, Y,Z ~

.,96 252- . 9 '0 113 127 133. ZN SYSTEM 0 SPRZtfC ELEMENT NODES SPECIFIED CONSTRAXNI'X FOR SELECTED NODES 57 TO 57 BY REALi 0. IRAQ+ 0 ~

ADDITIONAL DOFS- VY UZ ROTX ROTY ROTZ SPECZFXED CONSTRAINT UX FOR SELECTED NODES 121 TO 121 BY REAL~ 0. ZffACo 0.

ADDITIONAL DOFS~ VY VZ ROTX ROTY ROTE SPECIFIED CONSTPAINT VX FOR SELECTED NODES 122 TO 122 BY REAL~ 0. IMAG~ 0.

ADDITIONAL DOFS~ UY UZ ROTX ROTY ROTZ SPECIFIED COlfSTRAINT UY FOR SELECTED NODES 122 TO 122 BY REAL<-0.125000000 ZMACa . 0~

MODIFY REAL CCRfSTABTS FOR SET 16 STARTING WXTH 3 NEW VALVES ARE 1.2460 1.2460 1.0000 0. 0. 0.

vi,ew polnf; fox'indow 1 1.0000 1.0000 1. 5000 SELECT ALL ENTITIES OF TYPE~ ALL AND BELOW ALL SELECT FOR XTJIMaVOLU COMPONENT~

ZN RANCE 0 TO 0 STEP 1 0 VOLUMES (OF 0 DEFINED) SEI ECTED SY VSEL COMMAIfD.

ALL SELECT FOR ITEM=AREA COMPONENT+

IN RANGE 0 TO 0 STEP 1 0 AREAS {OP 0 DEFINED) SELECTED BY ASEL COMMAlfD. / ~

. SELECT POR ITEM~I XNE COMPONE:fT CE 0 TO 0 STEP 1 0 LINES <OF 0 DEFINED) SELECTED BY LSBL COMMAlfD.

Page ~~

CALC. NO.. 5/4-~z-bozo Rev.

,8-11-1997 1):34AM FROM h5'R ASSOOIATES INC 783 519 8224 P. 26 0 p,'EYPOINTS (OF 0 DEFINED) SELECTED BY poR ITeMaeLSM coMpoiamT~

ZN RANGE 1 TO 96 STEP 1 96 ELEMENT S (OF .96 DEPZNED) SELECTED BY ESEL COIO(AND SELECT a FOR ZTEMaNODE COMPONENTa RANGE 1 TO 127 STEP 1 127 NODES (OP 127 DEPZ))ED) SELECTED BY NSEI, LzsT Azz sELecTep Nopes. DEYs= 0 1

+~ ~ ~~ ANSYS ENGINEERING ANALYSIS SYSTEM RELEASE 5.3 trave ANSYS/Mochanical 40197CHO VERSZON~SOLARIS 09:21:27 AUG 08, 1997 CPN 0.997 POR SUPPORT CALL EdNard Bird PHONE 703-519-0410 FAX 703-519-0224 NODE X Y ~ Z THXY THZX 1 0. 0. 0. 0.00 0 00 F 0.00 2 0. 15.250 0. 0.00 0.00 0.00 3 42.000 15.250 -42.OOO 0.00 0.00 oooo 6.3640 6 ~ 2500 -6.3640 0 F 00 0.00 0.00 5 0. 6.2500 0. 0.00 0.00 0.00 6 1. 8640 12.614 -l.

-6.

8640 0.00 0.00 0.00 1 6.3640 15. 250 . 3640 0.00 0.00 0.00 8' 42.000 15.250 -100. 00 0.00 0.00 0.00 12.000 15.250 -54.426 0 F 00 0.00 0.00 10 33.213 15 '50 -33.213 0.00 0.00 0.00 11 39.'115 15.'2SO -42.946 0.00 0.00 0.00 12 42.OOO 15.250 -54o426 0.00 0.00 0.00 13 42.000 27.250 100.00 0.00 0.00 0.00 14 42.000 15. 250 -123.50 0.00 0.00 0.00 15 42.000 15.250 >>111. 50 0.00 O.M 0.00 16 42.000 15.'250 "137.25 0 00 F

'.00 0,.00 11 30.000 15.250 -137.25 0.00 0.00 0.00 18 42.000 15 '50 -169 50

~ 0.00 0.00 0.00 19 42.000 27.250 -169.50 0.00 0.00 0.00 ISED -178 75 42.000 15.250 a 0 00 F ,0.00 0.00 42 F 000 15.250 -202.15 0.00 0.00 :0.00 42.000 15. 250 206.50 0.00 0.00 0.00 21.625 15.250 -226.88 0.00 0.00 0.00 24 33.000 "15250 202.77 0.00 0.00 0.00 25 42.000 15 250

~ -202.77 0.00 0.00 .0. 00 26 41. 315 15. 250 206.22 0.00 0.00 0.00 27 39.364 15.250 -209.14 0.00 0.00 0.00 28 6.6250 15. 250 -226.88 0.00 0.00 0.00 29 9.1986 15.2SO 196.88 0.00 0.00 0.00 30 30. 412 15. 250 -218.09 0.00 0.00 0.00

20. 679 15.250 224.59 0.00 0.00 0.00 31 32 33 9.1996 6.6250 .

lsp250 27'.250

-226.88

-226.88 0.00 0.00 0.00 0.00

~ 0.00 0.00 34 -10.375 15.250 -226.88 0 00 F 0.00 0.00 35 -34.3'15 15.250 -226.88 0.00 0.00 0+00 36 -51. 315 250 -226.88 0.00 0.00 0.00 37 -51. 375 27.250 -226.88 0.00 0.00 0.00 38 -68. 815 15.250 -226.88 0.00 0.00 0.00 39 95.000 15.250 "200.75 0 00 F 0.00 0.00 40 -56.449 15.250 -196. BB 0.00 0.00 0.00 41 56.449 15.250 -225e88 oooo 0.00 0.00 42 -67.929 15.250 224.59 0.00 0.00 0.00 43 -77,662 15 250

~ -218. 09 0.00 0.00 0.00 44 95.000 15.250 197.00 0.00 0.00 0.00 45 -86.000 1S. 250 -191 02

~ 0.00 0.00 0.00 46 92.364 15.250 203.39 0.00 0.00 0.00 41 -94.315 15. 250 -200.47 0.00 0.00 0.00 48 95.000 15. 250 -197.02 0.00 0.00 0.00 49 -95.ooo 15.250 -173. 00 0.00 oooo 0.00 50 -95 000 F 15.250 , -119 15~ 0.00 0.00 0.00 1

P~~ ANSYS - ENQINEERZNG ANALYSIS SYSTEM RELEASE 5.3 ANSYS/Mechanical 40197CHG veeszoN~BQLARzs 09:21:27 AUG 08, 1997 CP 1.014 FOR SUPPORT CALI Echerd Bird PHONE 703-519-0410 PAX 703-519-0224 DE X Y Z THXY THYZ THZX 51 -95 000 15 250 -131 15 0.00 0.00 0.00

~

-ac nnn 16

~

jcn>>(04.75 ~

n on n.nn n nn Page~3 CALC. NO.. </4-~z- <<o~o Rev. 0

,8-11-1997 11:34AM FROM MPR ASSQO>ATE9 INC 783 619 8224 P. 27 55 95 000 27.250 -99.750 0.00 0.00 0.00 56 95.000 15. 250 6.2500 0.00 0.00 0.00 51 -131. 00 15.250 29+750 0.00 0.00 0.00 58 -125 00 F 15.250 -18.676 0.00 0.00 0.00 59 -95.000 15.250 -18.676 0 F 00 0.00 0.00 60 91. 284 15.250 -7 1959

~ 0 F 00 0.00 0,.00 103 e79 15.250 2.5368 0.00 0.00 0.00

0. 0. 27.000 0.00 0.00 0.00

0. 38.500 27.000 0.00 0.00 0.00 0~ 9.0000 18.000 0.00 0.00 0 F 00

0. 0. 18. 000 0 F 00 0.00 0.00 66 0. 2.6360 24.364 0.00 0.00 0.00 67 0 ~ 9.0000 27.000 0 F 00 0,00 0.00 68 0. 38.500'9.500 40.$ 00 0.00 0.00 0 F 00 69 0. 36o000 OIOO 0.00 0.00 10 O. 29.500 27 000 F 0.00 0.00 0.00 71 0. 35.864 29. 636 0. 00 0. 00 0.00 72 0. 38.500 36.000 0.00 0.00 0.00 73 0. 50.500 40.500 0.00 0.00 0.00 74 O. 38 '00 63.000 0.00 0.00 0.00 75 41. 231 38.500 82 229 F 0.00 0.00 0.00 76 30.000 . 38.500 43.888 '.00 0.00 0.00 77 0 ~ 38.500 43.888 Oe00 0.00 0.00 78 4.6983 38.500 60.007 0.00 0.00 0.00 79 17 322

~ 38.$ 00. 71.077 0.00 0.00 0.00 80 52.109 38.500 87.305 0.00 0.00 0.00 Sl 43.050 38.$ 00 83.074 0.00 0 F 00 0.00 82 43.050 50.500 83.074 0.00 0.00 0.00 83 70.919 38.500 95.074 0.00 0.00 0.00 84 '70. 919 50.500 95.0'14 0.00 0.00 0.00 85 75.99S 38.500 84.202 Oo00 0.00 0.00 86 125.30p 38.500 120 '3 120.43 0.00 0.00 0.00 0.00 0.00 87 125.30 50.500 0 00 F

88 130.38 38.500 109. 56 0.00 0.00 0.00 89 151. 59 38.500 132.69 0.00 0.00 0.00 90 197. 59 38.500 132.69 0.00 0.00 0.00 91 158.24 38.500 102.69 0.00 0.00 0.00 92 145. 56 38.500 129 88 F 0.00 0.00 0.00 93 ZS1.74 38.500 131. 97 Oo00 0 00 0.00 0.00, '

F 94 158.24 38.500 132 69

~ 0.00 0.00 95 197 59

~ 2.$ 000 132. 69 0.00 F 00 0.00 96 167. 59 8.5000 132. 69 0.00 0.00 0.00 97 167.59 38.500 13'2. 69 0.00 0.00 0.00 98 188.80 29.713 132. 69 0.00 0.00 0.00 197. 59 8.5000 132.69 0.00 0.00 0.00 oo 197.59 2.5000 144. 69 0.00 Oe00 0.00

~ see ~ ANSYS ENCZNEERZNG ANALYSZS SYSTEH RELEASE 5.3

~ ANSYS/Mec hnnical 40197CHG VERSZON=SOLARZS 09:21:21 AVC 08. 1997 Cta 1.031 POR SUPPO RT CALL Edward Eizd 'PHONE 703-519-0410 AX 703-519-0224 NODE X Y E TH YE THEX 101 197.$ 9 -21. 500 132. 69 0.00 0.00 0.00 102 206.59 21. 500 132. 69 0.00 0.00 0.00 103 230.$ 9 -21.500 132.69 0.00 0.00 0.00 104 258.34 -21.500 132.69 0.00 0.00 0 00 F

105 206.57 -12. 512 132.69 0 F 00 0 00 F 0.00 106 197. 59 -12 512

~ 132.69 0.00 0.00 Os00 107 200.22 -18. 867 132.69 0.00 0.00 0.00 108 206.57 -21. 500 132.69 0.00 0.00 0.00 109 262.09 21. 500 132 69

~ 0.00 0.00 0.00 110 271. 09 -21. 500 141. 69 0.00 0.00 0.00 111 258.36 -21.500 141. 69 0.00 0.00 0.00 112 113 258.36 261. 80

-21. 500

-21.$ 00 132 '9 133. 37 0.00 0 F 00 .

0.00 0.00 0.00 0.00 114 264.72 -21 500

~ 135. 32 0.00 0.00 0.00 115 271. 09 -45.500 141. 69 0.00 '0.00 0.00 116 266.84 27.500 l37.44 0.00 0.00 0.00 11.7 266.84 -21. 500 137.44 0.00 0.00 0.00 118 269.84 -23.257 140.44 0.00 0 F 00 0.00 119 271. 09 27.500 141 ~ 69 0.00 0.00 0 00 120 283 09 F -45.500 141. 69 0.00 0.00 0.00 121 211. 09 -7'6.500 141.69 0.00 0.00 0.00 122 0. -4.0001 0. 0.00 0.00 0.00 123 0 ~ 5.6250 0. 0.00 0.00 0.00 124 0. 0. 5.6250 0.00 0.00 0.00 l25 0 ;4.0000 0. 0.00 0 F 00 0.00 188.80 41. 713 Oe00 0 00 126 132 ~ 69 F

~

OIOO 261.80 -9.5000 133 37~ 0 00 F 0 F 00 0. 00 SELECTED. ELEHENTS ~ (LZST NODES)

Page CALC. NO. 5/4 Z3- ~o o Rev.

,8-11-1997 11:35AM F~C14 M1 R ASSOCIATES INC 703 ~19 0224 P. 28 C

40197CHG VERSIONa SOLARI8 09t21c27 AUG 08, 1997 CPa 1+041 FOR SUPPORT CALL Eche < S<z~ PHONE 703-519-0410 FAR 703-519-0224 IG /~ I REL ESY NODES

4 5

1 2

2 1

1 2

2 1

3' 0

0 0

~ 123

~

12 10 7

5 6

10 6

7 8

6 11 7 2 3 0 11 12 8 4 0 8 13 9 1 1 0 8 14 10 0 14 15 ll 12 3

3 5

1 5

0 0

14 16 16 17 13 1 1 0 16 18 14 3 6 0 18 19 15 1 0 18 20 0 16 4 7 0' 20 21 0 17 1 0 21 25 0 18 1 1 0 27 30 0 19 2 0 25 26 24 20 2 2 0 2'7 24 21 1 1 0 32 . 28 0 22 2 3 0' 30 ~ .31 29 23 2 0 31 32 29 24 5 0 28 33 25 1 0 28 34 26 4 8 0 34 35 27 1 1 0 35 '6 36 28 3 9 0 37 29 1 1 0 36 41 0 30 1 '1 0 43 46 0 31 2 3 '0 41 42 40 32 2 3 0 42 43 40 33 1 1 0 48 44 0 34 2 2 0 46 47 45 35 2 2 0 45 36 4 10 .'0 44 49 0 e.

1 1 0 49 50 0 3 5 0 50 51 1 1 0' 50 52 3 0 52 53 41 1 1 0 52 54 42 43 1.

11 1 i0 0

'4 54 55 59 0 44 1 I 0 61 57 0 45 2 3 0 59 60 58 46 2 3 0 60 51 58 47 1, 1 0 . 124 65 0 48 1 1 0 67 70 0 49 2 2 0 65 66 64 50 2 2 0 66 67 64 1

ANSYS - ENGINEERING ANALYSIS SYSTEH RELEASE 5.3 ANSYS/Hechanical 40197CHC VERSZONrSOLARZS 09 s 21 ) 27 AUG 08, 1997 CPa l. 059 FDR SUPPORT CALL E&azl si,zd pHUNE 703-519-0410 M 703-519-0224 NODES 51 1 1 0 72 68 0 52 1 2 0 70 71 69 53 1 2 0 71 72 69 54 1 12;, 0, 68 73 55 1 1 0 68 77 0 56 1 1 0 79 75 0 57 1 3 0 77 78 76 58 1 3 0 78 79 76 59 1 5 0 75 80 60 1 0 75 81 61 11, 0 81 82 62 1 0 81 83 63 1 6 0 83 84 1 6 0 83 85 1 1 '0 83 86 1 6 0 86 87 1 6 0 86 88

'7 0 86 92 Page~3 CALC. NO.

Rev.

,8-11-1997 ll:35AM FROM MPR ASSPO1PTE9 jNC 783 519 8224 P. 29 71 3 0 93 94 91 72 1 1 0 99 95 0 73 1 3 0 97 98 96

'74 1 3 '0 98 99 96 1 6 0 95 100 1 1 0 95 10.6 0 1 0 108 102 0 1 7 0 102 103 0 1 13 0 103 104 0 1 14 0 106 107 105 1 14 0 107 108 105 1 1 0 104. 112 0 1 1 0 114 117 0 84 1 2 0 112 113 111 85 1 2 0 113 114 111 86 1 1 0 119 '15 0 87 1 15, 0 117 118 116 88 1 15 0 118 119 116 89 6 0 115 120 90 1 1 0 115 121 0 91 1 0 125 122 0 9Z 1 16 0 123 1 0 93 1 16 0 ~ 124 1 0 94 1 16 0 125 1 0 95 1 17 0 98 126 96 1 18 0 113 127 LIST CONSTRAINTS FOR SELECTED NODES 1 TO 127 BY.

CURRENTLY SELECTED DOF. SET UX UY UZ ROTX ROTY ROTE I

~~~~r ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 5 3 r~~r*

2c>SYS/Mechanical 40197CHG VERSIONcSOLARIS '9<21:27 AUG 08, 1997 CFe 1.077 FOR SVFFORT CALL Edward Bird a(ONE 703-519-0410 FAX 703-519-0224 NODE 13 LABEL VX REAL '. IMAG 0.

13 UY 0. 0.

13 UZ 0. 0.

15 UX 0. 0.

UY 0. 0.

UZ 0 ~ 0~

VX 0. 0~

UY 0 ~ 0.

UZ 0. 0.

19 VX 0. 0.

19 UY 0. 0.

19 0. 0.

33 UK 0 ~

33 UY 0.

33 VZ 0. 0.

37 UX 0. 0~

37 UY 0 ~ 0..

37 UZ 0. 0.

51 VX 0. 0.

51 UY 0.

51 UZ 0. 0.

53 VX 0. 0.

53 0 ~ 0.

53 UZ 0. 0>>

55 UX 0>> 0.

55 UY 0. 0.

55 UZ 0. 0.

57 UX 0. 0.

57 UY 0.

57 UZ 0.

57 ROTX 0.

57 ROTY 0. 0.

57 ROTE 0. 0.

73 0. 0.

73 UY 0. 0.

73 UZ 0 ~

0. 0.

'X 80 80 UY 0~ 0.

80 VZ 0. 0.

82 UX 0. 0.

82 VY 0. 0.

82 UZ 0. 0>>

84 UX 0. 0>>

UY 0. 0.

UZ 0. 0>>

vx 0. 0.

UY 0. 0.

UZ 0 ~ 0 ~

Page~~

CALC NO 5/4-ZZ-~o~o Rev.

,8-11-1997 11:35AM FRQt4 MPR A9SQC<PTES jNC 783 519 8224 P. 38 1

eieee ANSYS ENCZNEERINC ANALYSIS. SYSTEM RELEASE 5 3 eeeee mJSYS/Mechanic.cal 40197CNC AUG 08 1997 CP 1 083 FOR SUPPORT CALL <
>>>>>>> CENTROID, MASS, AND MASS MOMENTS OF ZNERTZA ~ >>>>>>>>

CULATZONS ASSUME ELBHENT MASS AT ELEIIZG'ENTROID TOTAL MASS ~ 10.594 MOH. OF ZNERTIA HO'H. OF INERTIA CENTROZD ABOUT ORZGZN ABOUT CENTROID XC 4 96.761 IXX = 0.30938>>06 IXX ~ 0.2915E+06 YC ~ -2.1221 ZYY LI 0. 60318>>06 ZYY 0 '8618>>06 ZC 4 -40.974 IBB ~ 0.30108>>06 ZZZ a 0.2018E+06 ZXY 4 0.27308>>05 ZXY 4 OI25138+05 ZYS 4 0.31048+05 ZYK 4 0. 3196E>>05 ZKX '-" 0. 18228>>06 ZSX 4 "0.22428+06

>>>>>> MASS SUMHARY BY ELEMENT TYPE

"*'YPE MASS 4 10.S938 RanSo of element maximum matrix coefficients in global coordinates NaXimum4 1.1296897688>>13 at element 91.

Hinimume 0.821028942 at element 59.

>>>>>> WARNING CPi 1.205 TZME4 09:21:2'7 Coefficient ratio exceeds 1.0e8 - Check results.

ELEtSWIT MATRIX FORMULATION TIMES TYPE NUMBER ENAHE TOTAL CP AVE CP 1 38 PZP816, 0. 014 0 ~ 000 2 30 FZP818 0.011 0. 000 3 20 COMBIN14 0. 004 0. 000 4 5 PIP816 0.002 0.000 5 3 PZP816 0.001 0.000 att end ot element matrix formulation CP4 1 ~ 20736102. ~

ated number of active DOF= 444.

. mum Idavefronte 50.

Time at end of matrix trianyula isaticn CPa 1.24300262.

Equation solver maximum pivots 1.1297100158 13 at node 125 ROTX.

Euuation solver minimum pivot 24686.9165 at node 54 Ux.'

>>>> ANSYS ENGZNEERZNG ANALYSZS SYSTEM RELEASE 5.3 ANSYSI Mechanical 40197CHG VERSION>>SOLARIS 09:21:28 AUG 08, 1997 CP4 1.252 FOR SUPPORT CALL Kddard Bird PHONE 103-519-0410 FAX 703-519-0224 DEGREE OF FREEDOM SOLUTION>>>>" >>" TIME s 1.0000 LOAD STEPR 1 SUBSTEP R 1 CUM ~ ITBR ~ ~ 1 NOTE - ALL VECTOR DOFS ARE IN NODAL COORDINATE SYSTEHS ~

NODE UX UY UZ ROTX ROTY ROTE 1 -0.8924388-05 0. 124992 0. 2667218 04 -0. 2521078-04 0.1519778-04 0. 1142698-04 5 0. 1229878-03 -0.124990 -0.5597258-04 0. 1584148-04 0.167565E 04 0.2505398"04 6 -0.496628E 03 0 '24603 0.58$ 089E-03 0 '956498-03 -0. 1718368-05 0.947840E-04 7 -0.764997E-03 -0. 122715 0.1306288-02 0.3426618 03 -0.1938728-04 0. 1863 95E-03 8 0.7447298-03 -0.5497638-01 0. 194112E-02 0.7961478-03 -0. 140103 E-04 ' '86997E-03 10 -0. 2761458-03 -0. 104879 0. 1795178-02 0.5747858-03 -0. 1712408-04 O. 2016428-03 11 -O. 113370E-03 0. 9761728 01 0.1904288 02 Os6398348 03 -0:1638558 04 0. 2013008-03 12 0.7064168-04 -0.894664'8-01 0. 194115E-02 ,0. 6951148-03 -0.1570778 04 0.1983478-03

~ 3 0. 0. 0.

~ 4 0.1066388-02 -0.3608518-01 0.1941118 02 0. 8047748-03 -0.1341308-04 0 ~ 18114 48-03

~ 5 0 ~ 0. 0.

16 0.1'24882E-02 -0.2504258 01 Oe1941108 02 0.7975038-03 -0.131512E-04 0 ~ 1777208-03 17 0~ 0. 0 ~

18 0.1565908 02 0.6050888 08 0. 1941088" 02 0.7447718-03 -0.1279058-04 0.169688K-03 i 0.

0. 178393E 02 0.208985E-02 0.2090138-02 n 111wanv n4 O.

0.6785448-02 0.2345998-01 0.2347468-01 n 44dn444 hl 0.

0. 1941078-02 0.1941068-02

0. 1941068-02 n I411>de h4 0.7227058-03

0. 667 631E-03 0.557582E-03 n d'11n4KII n1

-0.1275258-04

-0.1279038-04 0 1279048-04 h 1>RRh>R hd 0.1673848-03 0.151407E-03

0. 1614018-03 h 1 add RR< he page 3 >

CALC. NO.

Rev.

8-11-1997 11:36AM FRCN h1PR pSSpp[pTE9 [Np 783 519 822<1 P. 32 30 0.22886SE-02 0. 309341E-01 0. 179035E-02 0. 581034E-03 -0.130915E-O4 0. 165153 E-03 31 p 237420E-02 0.3303498-01 0 ~ 156222B" 02 0.548980E-03 -0. 132378E-04 0.160147E-03 32 p.24O4$ 3B-OZ 0. 324541E-01 O. 1 5 0 934 E-OZ 0.516834E-03 -0. 133876E" 04 0 ~ 154892E-03 33 0 0, 0 34 P 240450E-02 0 ~ 29497 SE-01 0. 124$ 48E-02 0 '63463E-03 -0.13S600E-04 0.146594E 03 35 0.240446K-02 0.261259E 01 0.918046E 03 0.398022E 03 0.137087E 04 O. 133579 E-03 p 24p443E 02 0. 239450E-01 0.684355E-03 0. 3 5166 8E-03 -0. 137 724E-04 0.122467E-O3 11 0.

0.240442E 02 0.237288E-02 0.233336B-OI 0.212958E-01

0. o.

0.614433E-03 0.456003E 03 0 ~ 337834E-03

0. 30601$ E-03

-0 '37847E-04 "0. 13801$ E-04 0.119032E-03

0. 11.0711E-03 43 0. 228313E-02 0 e183726B-01 0 ~ 321584E-03 0 ~ 27S419E-03 -0. 137'7'79E-04 0.104157B-03 44 0.199523B-OZ 0. 11606$ E-01 0.841878E-04 O. ISllaaE-O3 -0. 13307 5E>>'04 0.8$ 0430E-04 46 0. 208130E-02 0. 13 1627 E-01 0.119878E-03 0,229973E-03 -0. 13 6364E-04 0. 100737 E-03 47 0.204169E-02 0 1233 85E-01

~ 0 '33918K-O4 0.207360m-03 0.134812K 04 0.900045K-O4 48 0. 199553E-02 0.116105E 01 0.841878E-04 0.181152E-03 -0.133077E-04 0.850519B-04 49 0.168009E-02 0.777108E-02 0.8417408-04 0.139809E-03 -O.'29047E-04 0.754332E-04 50 0. 103065E-02 0.289997E 02 0.841433E-04 0. 666177E-04 -0. 113089E-04 0. 541113B-04 51 p c 0. 0.

52 0.86547$ E-03 0. 1526768-02 0.841346B-04 0.505977E-04 -0.106847B<<04 0.481051B-04

ANSYS ENCZNEERING ANALYSIS SYSTEM RELEASE 5.3 ANSYS/Mechanical 40197CHG VERSION>SOLARIS 09: 21: 28 AUC 09, 1997 CP= 1. 271 FOR SUPPORT CALL EdNaxd Sird PHONE 703 519-0410 FAX 703-S19-0224 DEGREE OF FREEDOM SOLUTION TIME a 1.0000 LOAD STEPa 1 SUESTEP a 1 CUM. ITBRe ~ 1 NOTE - ALL VECTOR OOPS ARE ZN NODAL COORDINATE SYSTEMS.

NODE UX UY UZ ROTE ROTY ROTZ 53 0. 0. 0.

$4 0.812$ 68E 03 0 ~ 128721E-OZ 0 e 841317B-04 0.457068E704 -0.104596E-O4 0. 4 6103 0E-04 55 0. 0. 0.

57 0. 0. 0. 0: 0. 0.

59 0. 144895E-03 -0.679178K 04 0.840850E-04 -0. 184220E-os -0.562105B-05 0 '364028-04 60 0.863594E 04 0.535582B-04 0.728639B-04 -0. 41$ 941E-OS -0.453443E-OS 0. 906917E-05 61 0.474278B-04 -0.49893OE-04 0.473868E-04 "0.502259E-05 "0.338752B-05 0 ~ 518106E-05 65 0.70'7144E-03 -0. 122569 -0.714743E-OS -0.206339E-03 0 495896E-04 0.334053E 04 0.45S650E-04 6l 0.957352E-03 0 '649$ 2B-03 0.489553E 02

-0.1791558-02

-0.1Z0683

-0. 119559'0.104002

-0. 119523

-0.854357E-03

-0.369892B"02

-0. 238614E-01

0. 157550E-01 0.372931E 03 "0 520842E-03

~

-'0.131130E 02

-0 SS2409B-03

~

0.489766B-04

0. 343160E-04

-0. 100402E-03 0.202759E 04

0. 920412E 04

0. 417956B-03

0. 163 $ 16E-03 71 -0.323764E 02 -0. 117184 -0. 2 09 913 E-01 -0.987874E 03 0.21939$ B-04 0.300375B-03 72 -0.448005E-02 -0. 109864 0.238563E 01 ~ "0 127466E-02

~ -0.913323E-04 0.382657E-03

'73 o. 0. 0.

75 -0.128780E-O1 -0.231232B 01 -0.137982B-01 -0.119234E-02 -0 '64560E-03 0. 511052 E-03

/7 0.523858B-02 -0,994893E-01 -0.238577E 01 0.133410E-OZ -0.108999E"03 Oe444531B-03 78 -0.750286E-02 0.746843E-01 -0.231126B-01 -0.139891E-OZ -0.181730E-03 0.554128E 03 79 -0 '88945B-02 ro. $ 15937E 01 -0. 202718E-01 0.135938E 02 -0.251237B"03 0 '15052E-03 80 0. 0.

81 0.'0.

131015E-0 1 O. 211937E 01 -0.1331.37E-01 -0.117543B-02 -0.261364E-03 0.494054E-03 82 O. 0. 0.

83 -0.156537B-01 -0.870727E 07 Oa730856B 02 -0. 847008B-03 -0.137278B-03 0.780190E-04 84 0. 0. 0.

85 po 0. 0.

85 -0.15$ 974E 01 Oa386368B-07 -0.7282'21E-02 -0.400750Ã-03 0.742643E 04 0.359458E-03 87 ~ 0. 0; 0.

88 0. 0, 0.

92 -O.14S44OE-O1 -0.2694$ 9E-OZ 0.884298'E 02 -0.361235B-03 0.724942E-04 -0.2506$ 8E-03 93 0. 146897E-01 -0,336698B-02 -0.927289E-02 -0.355709E-03 0.6$ 0757E 04 -0 '06157B-03 94 -0. 1463 84E-01 -0. 431158E 02 0. 966612B-02 -0 '51507E-03 0.$ 69109E-04 0. 158076E-03 95 -0 '44510B-02 -0.399980E-02 -0.390841E 08 0.289986E"03 0 529326E-04

~ 0.262451E-03 97 -0 146284E-01 0.552346B-02 -OololSZSB-01 -Oe34643$ E-03 0. 494173E 04 -0. 9 52188E-04 98 -0. 1,423 61E-01 0 548672E 02 0.810900E 02 -0.330362E-03 0. 416936E-04 0.109996K 03 99 0. 100214E-01 -0.399755B-OZ -0. 177380E-02 -0.299351E 03 0.498802B-04 0.250571E-03 100 0. O. 0.

102 0.254798B-02 "0. 262719E-02 0.552$ 58E-02 -0.197143B 03 0.960874B-04 0.83$ 437E-O4 103 -0.252238E-02 -0.143806B-02 0.310761B-OZ, -0.1453'72E-03 0. 10$ 381E-03 0.269559E-04 104 -0.249279E-OZ -0 101344E 02

~ 0.356$ 71E"04 0. 855121E-04 0. 11598 6B-03 0.1757678-04

.106 -0.439848E-02 -0, 400$ 45E-02

~ 0. 416 580E-02 -0.26502SE 03 0.605698E-04 0.257261E"03 1

i ANSYS - KNCZNEERZNC ANALYSIS SYSTEM RELEASE 5.3 ANSYS/Mechandcal 40197CHG VERSZONaSOLARIS 09 ( 21 28

> AUG 08, 1997 CP~ 1.288 FOR SUPPORT CALL B@racd Bird pHONE 703-$ 19-0410 FAX 703 519-0224 Page QP,LQ. h1O. 6/4-ZZ- ~os Rev.

@-11-1997 11:37AM FROM MPR /29SPC1/2TE9 INC 783 519 8224 P. 33 NOTE ALL VECTOR DOSS ARE IN NODAL COORDINATE SYSTEHS NODE UX UY U? ROTX ROTY ROTE 107 0.2946348-02 -0.344909E 02 0.5528678-02 -0 '207388 03 0.759017K 04 '0.1801928-03 108 -0.2547998-02 -0. 2628118-02 0 '52673E 02 0.1971698 03 0.960827E-04 8358328-04 112 -0.2492768-02 0. 101310E-02 0.330961E 04 -0.8546448 04 0.115995E 03 0-1'159328-04 113 -0.2406458-02 -0. 8813218-03 -0.3780318-03 -0.7881908-04 0.120716E-O3 0 2684928 04

-0.2150688-02 0.659892E-03 -0.739799E-03 -O.7211458-04 0. 121178E-03 0. 3281028-04 III 119

-0.4310798-07

-0. 1894868-02.

-0. 1461228-02

-0.1069498-02

0. 116977E-04

-0.443383E-03

0. 122830E 03 0.1848998-04

-0 '543178-03

-0.1002438-02

-0.2238558-02

-0.1136638-02

-0.2935198-04 0 ~ 667908E oh

-0 6300298-04

~

0.4648118 04

0. 6510108-04

0. 1198578-03 0 '080318-03

0. 1029028-03 0.336909E-04 0.3806658-04 0.4873598-04 0 6209058-04

~

120 0. 0. 0.

121 oa Oe 0. 0. 0. 0.

122 0. -0.125000 0. 0. 0. 0.

123 -0.1077498 03 '.124990 0.64588SE-04 0.1173608-04 0.151007E-04 0.2369188 04 224 0. 1450998-03 -0.124599 -0.2057068-04 -0 '441208-04 0.3123848-04 0 - 1829 52E-04 125 o.33o6a8E-09 ':

0.125000 0. 563712E-09 -0.5852438-09 0.4049328-09 0.259268E 09 226 0. 0.

127 0. 0. 0 ~

MAXIMUMS NODE 83 122 12 78 75 79 VALUE -0 ~ 1565378" 01 ~ -0 125000 o

-0 '386638-01 -0. 1398918-02 0.264560E-03 0.6150528"03 1

ANSYS ENCINEERZNC,ANALYSIS SYSTEM RELEASE 5 '

ANSYS/Mechanical 40297CHC VERSZONeSOLARZS 09'.21:28 AUG 08, 2997 CP> 1.297 FOR SUPPORT CALL Edward Bird PHONE 703-519-0410 FAX 703 519-0224

~~ ~ ELEMENT SOLUTION ~"~*" TIME = 1.0000 LOAD STEPe 1 SUESTEP s K

1 CUH. ITER.i 2 ELi 90 NODES'15 121 MATi 1 STR PIP SFACTle 1.0000 SFAQTJs 1.0 000 SINE~

END I ANGLE SAXL 371.70 0

340 ~ 48 S3MN~ -342.11 45 305 ~ 91 90'35 SINTMXi 391. 44

98. 313 -160.71 SBQVMXe

-319. 42 180 3 81'95 225

-284.85 270

-77.2$ 7 315 281.76 SRAD 0 O. o. 0. 0. 0 ~ Oo 0.

SH D. 0. 0. 0. 0. 0. 0. ~

0.

SXH 74.595 105.06 117.72 20$ .14 14.700 44.230 31. 579 44. 156 Sl 356.10 338'.52 176. 72 51. 975 16. 606 6.7098 11.265191 92 S3 SINT

-15.626 372 73 o

-32.608 371 13~

-78.410 -212.68 264.66 352.63

-336.03'55.13

-291 298.27

'6 -88.523 99.'188 10.159 202.08

~

SEQV 364.17 35S.94 226.35 242.88 344.63 294.98 94.659 197.20 EPELAXL 0. 0000122 0 0000110

~

0 '000035 -0.0000058 -0.0000114 -0.0000102 -0.0000028 0 0000055

~

EPELRAD 0.0000037 0.0000033 -0.0000012 0.0000011 Or0000034 0. 0000031 0+0000008 -0.0000020 EPELH -0.0000037 -0,0000033 -O.OOOO011 O.OOOOO17 O.OOOOO34 0.0000031 0.0000008 -0.0000020

~ EPELXH SRAD 0.0000070 J SAXL -118.54 '19.057 0

0.0000098 0.

0.0000210 97.753 0.

0.0000098 163.47 0.

0.0000010 139.59 0.

0.0000041

40. 113 0.

0 0000029

76. 697 0

0 0000041

-142. 41 0 ~

~0.

a SH 0. 0, 0. 0. 0. 0. 0 ~

SXH 74.595 105'.06 117.72 10$ .14 14.100 44.230 31 '19 44 '56 Sl 36.005 95.966 176.34 214.91 172.03 68.6aa 21.329 12.580 S3 154.54 '-115.02 18. $ 83 -$ 1. 437 -32. 436 -28.509 -88.026 -154.99 SZNT 190.55 Z10.99 254.92 256.34 204.47 97. 131 99.35$ 167.57 SEQV 175.34 182.97 226.11 244.72 190.33 86. 416 94. 203 161. 65 EPELAXL -0.0000042 -0.0000007 0.0000035 0.0000059 0.0000050 0.000001,4 0.0000021 -0.0000051 EPEZRAD 0.0000013 0.0000002 -0.0000011 -0.0000018 -0.0000015 -0 0000004 0.0000008 0.0000015 EPELH 0.0000013 0.0000002 -0.0000011 -0.0000018 -0.0000015 -0.0000004 0.0000025 '.0000008 EPELXH 0 '000070 0 0000098 0.0000110 0.0000098 0.0000070 0.0000041 0.0000029 0.0000041 FORCES ON ~ER AT NODE

~

115 88 .4868 -180.993 -0.22085Z 1824. 91 1073.05 -h033.14 121 88 .4868 -180.993 -0.220852 1824. 91 1066.21 1577. 64 EL< 89 NODES~ 115, 120 PORC~ 431.08 STRETCH~ 0 I 000000 RATE~ 0.2000008~12 ELs 86 NODES'19 '15 MAT> 1 STR PIP SFACTI~ 1.0000 SFACTJ~ 1.0000 SIR(~ 361.68 S3HNi ~353.79 SZNTNXi 316.69 SEQVHX~ 366.63 Ala'CL8 0 45 90 135 ~ 180 225 270 31$

END I SAXL 27.791 45 '36 98 '38 99 927 48,847 -2h.680 -11. 583 -18. 812 SRAD 0. 0. Oo 0. 0~ 0 ~ 0 ~

SH 0 0. 0. 0. , 0. 0. 0. 0.

01,

~

SXH 74. 595 32. 531 15. 138 32. 605 74.700 116.76 234 16

~ 116.69 Sl 61. 982 ~ 62 ~ 632 100. 91 109 62

~ 103 ~ 105. 07 100.86. 83.737 S3 -89.173 -16.896 -2.2709 9.6915 -S4.168 -129 75~ -178. 44 -162. 61 SINT 151.76 79.528 103.18 129.32 157 F28 234.83 279.30 246.35 SEQV 132.16 72. 571 102.06 114.18 138.30 203.74 244.97 216.96 EPELAXL -0 0000010

~ 0.0000016 0 ~ 0000035 ~

0.0000036 '.0000018 -0.0000009 -0.0000028 -0.0000028 eELRAD 0.0000003 "0.0000005 -0.0000011 -0.0000011 -0 0000005

~ 0 0000003

~ 0.0000008 0.0000008 EPELH 0.0000003 -0.0000005 -0.0000012 -0.0000011 -0.000000$ 0.0000003 0.0000008 0.0000008 PELXH 0.00000'10 0.0000030 0 ~ 0000014 0-0000030 0.0000070 0.0000109 0.0000225 0. 0000109

,'t c'hvr. eA a Ae 1ac 41 4ll 'tl 1 ~ ca 'll 110 AO See oc 1 01 'la Pege~l CALC. NO. Sl -s3-+o Rev.

,8-11-1997 11:37AM FROM WPP ASSPC1ATE9 INC 783 519 8224 P. 34 74 595 32. 531 ]SII38 74 700 116. 76 134. 16 116. 69 SXH Sl

~

356 10 F 309.33 32 605 6.3631. 16.606 41.745 100.98 238.'79 22/5 I S3 15.626 -3.4211 -167. 07 336. 03 -326.60 -178.24 57 '23 SINT 371.73. 312. 75 173.43 352.63 368+34 279.2] 295.81

, SZQV 364.17 311. 06 ]70.34 344.63 349.35 244.87 271. 82 EPELAYL 0. 0000122 0. 0000110 0 0000035 -0.0000058 -0.0000114 "0.0000102 -0.0000028 0.0000065 ZPZLRAD -0.0000037 -0.0000033 0.0000011 0. ppppp]7 p. pppp034 0 ~ 0000031 0.0000008 -0 0000020

~

EPELH -0.0000037 -0.0000033 0 0000011 0.0000017 0.0000034 0 0000031

~ 0.0000008 -0.0000020 ZPZLXH 0.0000070 0.0000030 0.0000014 O.p000030 0.0000070 0. 0000109 0. 0000125 0 ~ 0000109 ES ON MEMBER AT NODE 119 88 250 '86 -0.220852 1824 ~ 91 1077.03 468.395

'15 88 ~ 4868 250.086 -0.220852 1824 91 ~ 1073.05 -4033 14F 88 NODESa 118 119 MATa ]

~,

SFACTI a 2' 1527 SFACT Ja 2 ~ 1 527 S]MY, 2]9,2] S3Ela 260 41~ SINTNXa 32d. 51 SEQmaca 297. 68 ANCLZ 0 45 90 135 ]80 225 270 315 ZND I SAXL 63 ~ 381 0-71.739 0.

51.142 0.

13.654 0.

-18.764 0.

-27.122 0~

-6.5246 0.

30.963 0.

SRAD SH 0. 0; 0. 0. 0. 0. 0.

SXH 82 274 116 40 ~ 139 ~ 23 137.39 111. 95 77 ~ 826 54.997 56 840 F

Sl 119.86 157.67 167.13 144.38 102.96 65 '38 51. 832 74.392

-43 '29 S3 SINT SEQV

-56.476 176.33 155. 96

-85.933 243 214 00

']

~

"115.99 283.12 246 52 ~

-130.73 275.11 238.3S

-121.73 224.69 194.81

92. 560 158.00 137.50

-58.356 110. 19 95;481 117. 82 103.20 ZPELAXL 0. 0000023 0. 0000026 0.0000018 0. 0000005 -0.0000007 "0.0000010 -0.0000002 0.0000011 EPELRAD -0.0000007 -0.0000008 -0.0000005 -0.0000001 0 0000002 0.0000003 0.0000001 -0 0000003

~

ZPZLH -0.0000007 -0.0000008 "0.0000005 0.000000] 0.0000002 0.0000003 0.0000001 0.0000003 EPELXH 0. 0000077 0. 0000108 0. 0000130 0. 0000128 0. 0000104 0. 0000073 pe000005] 0 '000053 ZND J SAXL 202.98'3.017 65.264 -179.15 -181 92 ~ -71. 961

. 0.

86.320 0.

200.20 0,

SRAD 0. Oe 0, 0. 0.

SH 0. 0. 0. 0. 0. 0. 0. 0.

SXH 32. 605 "

74.700 115.75 134.16 116.69 74 '95 32.531 15 138

~

Sl 208.09 134.50 . 88.606 71.738 55.993 46.838 97.206 201.34 83 -5.1089'1.486 -153 87 ~ -250.88 -238. 91 -118. 80 -10. 887 108.09

-1. 1382 202.48 SDK 213. 19 175. 99 242. 48 322. 62 295. 91 165. 64 SEQV 210. 69 159. 35 212. Sl 293.41 271,93 147.89 103.08 201. 91 EPELAXL 0.0000073 0.0000033 0.0000023 -0.0000064 -0.0000065 ~0.0000026 0. 0000031 0.0000072 EPELRAD -0.0000022 -0.0000010 0.0000007 0.0000019 0.0000020 0.0000008 -0.0000009 -0.0000022 EPZLH -0 0000022

~ -0.0000010 0.0000007 0 0000019

~ 0.0000020 0.0000008 0.0000009 -0.0000022 EPELXH 0.0000030 0.0000070 0.0000109 0.0000125 0.0000109 0.0000070 0.0000030 0. 0000014

?~ER AT NODE l]8 187.502 176 '93 "62.3627 '374.16 163.723 "233.223 FORCES ON 119 88.4868 "176 '93 -176.681 1824.91 -430 '58 -1092 '8 ELa 117 118 MATe 1

'S 87 NODESa CTIa 2.1527 SPACTJa 2.]527

]85. 54 S3HHa . 179.70 SINTMXa 285.79 8ZQVHXa 2 48 ~ 15 ANGLE 0 90 135 180 225 270 . 315 I SAXL -113 ~ 34, "61.685 38.420 0.

128.33 0.

155. 38 0.

103.73 0.

3. 6220 0.

-86. 291 0.

SRAD 0 ~ Oe SH 0 ~ 0. O. 0. .0; 0. 0 ~ 0 ~

SXH 109. 19 132 81 130 25 ~ 103.03 67.083 43.469 46.022 73.246

~

Sl 66.354 105.50 150.87 ]85.54 180. 34 119.53 47.869 41 e 864 S3 -179. 70 167 . 18 -112 45 ~ -57. 212 -24.954 -15o808 ->>8.15 SINT 246 05 e 272. 68 263 33 ~ 242.76 205.29 135.34 92.115 170. 02 SEQV 220 49 ~ 238.16 228.86 219.81 194.02 128. 17 79.795 153.43 EPELAXL 0. 0000041 -0,.0000022 0. 0000014 0. 0000045 0.0000055 0.0000037 0.0000001 0. 0000031 EPELRAD 0.0000012 0.0000007 -0.0000004 -0.0000014 =0 0000017 -0 0000011 ~ 0.0000000 0.0000009 ZPELH 0.0000012 0.0000007 h0.0000004 0.0000014 -0 0000017 -0. 0000011

~ 0.0000000 0.0000009 EPELXH 0.0000102 0.0000124 0.0000121 0.0000096 0.0000063 0 0000041

~ 0 0000043

~ 0 0000068

~

zND J sAxt 63.381 71.739 S1.142 13.654 -18 '64 -27.122 -6.5246 30.963 SRAD 0. 0. 0. 0. 0. 0, 0.

SH 0 ~ 0. p. 0 ~ Oe '0. 0. 0.

SXH 82 274

~ 116.40 139 23 137 39 ~ 111.95 77.826 54.997 56.840 Sl 119.86 157. 57 167.13 144.38 102. 96 6S.d38 51. 832 74.392

$3 56.476 -85.933, -115 99 ~ -130.73 121.73 -92.560 -58.356 -43.429 SINT ]76.33 243. 61 283.12 275 11 ~ 224.69 158. 00 110.19 117.82 SKQV 155.96 214.00 246.52 238.35 194.81 137.50 95.481 103.20 EPELAxL 0.0000023 0 ~ 0000026 '.0000018 0.0000005 -0.0000007 -0 0000010 ~ -0.0000002 0.0000011 EPELRAD 0 '000007 0 0000008

~ 0 0000005

~ 0 0000001

~ 0.,0000002 0.0000003 0.0000001 -0.0000003 ZPZLH , 0 0000007

~ -0.0000008 -0.0000005 "0.0000001 0.0000002 0.0000003 0.0000001 -0.0000003 EPELXH 0. 0000077 0. 0000108 0. 0000130 0. 0000128 0. 0000104 0.0000073 0.0000051 0.0000053 FORCES ON MEMBER AT NODE 117 176.681 ~176.993 88.4868 2154.74 98.7975 762.952 118 187.502 -176.993 -62.3627 2374. 16 163.723 -233.223 ELa 83 NODZSa 114 117 MATa 1 STR PIP SPACTZa 1 F 0000 SFACTJa '.0000 SDKa 145 ~ 62 S3HNa -141.79 SINTHXa 270.45 SEQVHXa 23d. 22 A?FJLE ' 4S 90 135 180 225 270 315 RID I SAXL SRAD 34.656 0.

17.243 0.

2.0437 0 ~

-2.0390 0.

7.3866 0.

24:799 0,

39.998 0.

dd.081 OI SH 0. ~

0 0. 0. Oo 0. 0. 0.

SXH 46.022 73.246 109.19 132. 81 130. 25 103.03 67.083 43.469 Sl 66.504 82.374 110.22 131. 79 134.00 116. 17 90.000 70.778 S3 '31.848 65.130 -108 18 -133. 83 -126. 51 -91. 375 -50.001 -26.597 BINT 98.352 147.50 128.03 218.40 189.14

~

265 230.04

'2 260. 61 225.73 207.55 180.17 140. 00 122.88 97.475 87.245 SEQV 86.920 PELAXL 0.0000 012 0.0000006 0 ~ 0000001 -0.0000001 0.0000003 0.0000009 0.0000014 0.0000016 h hhhhhhl h hhhhhhh h hhhhhnh n nnnnnnn ,h nnnhnn1 n nnnnnnw n nnnnnna -n nnnnnna

<~'~

i egest~

CALC. NO. ~~4-~~

Rev.

,8-11-1997 11:38AM FADE MPR ASSQCIATES INC 783 519 8224 P. 35 28.829 EtfD J SAXL SHAD 12.939 0.

0.

~

-41.395 O.

0.

17.399 p.

29.104 0.

0..

70.871 0.

0.

83. 431 0.

$9 ~ 441 0.

0.

x'/5 I

0. 0.

46.022 73 246

~ 109 19 132.81 130.25 103.03 67.083 43.469 52.944 60.237 89 ~ 066 90.441

-131 ~ 84 224.39 14$ .62 144.39

-73:518 120.12 82 '78 83 4Q,QQ5 141 ~ 79 -116. 51 -37.278 -22.937 SZNT 92 ~ 949 149 30 ~ 222.28 266.19 262 ~ 13 217. 91 157.99 105.32 SEQt 80.756 130 ~ 10 193 ~ 61 230. 69 22'8 192. 01 143.05 95 '26 PELAXL 0.0000005 0000020 -0.0000015 -0 0000006 ~ 0 0000010

~ 0.0000025 0.0000030 0 ~ 0000021 PELF~ p. Qppppnl 0 . 0000003 0. 0000004 0 .0000002 -0.0000003 0.0000008 0.0000009 0.0000006 EPELH 0.0000001 0.0000003 0.0000004 0.0000002 -0.0000003 -0.0000008 -0.0000009 -O.on00005 EpEZXH p.ppppp43 0.0000068 0.0000102 O.ppppl24 0. 0000121 0.0000096 0.0000063 0.0000041 FORCES ON MEMBER AT NODE 114 176.682 -88.4868 176. 993 2154.74 -231.971 -166.663 117 176.681 -88 '868 -276.993 2154.74 -762.952 98.1975 EL>> 85 NODES>> . 113 114 MAT>> 1 SFACTI>> 1.6428 SFACTJ>> 1.6428 SlMX>> 168. 96 S3MN>> -141. 86 4$

SINTMX>>

90 270.76 SEQVMX>> 23 4 '7225 270 315 ANGLE 0 135 180 9>>2tp I SAXL -21.689 ~ 17.096 61.963 86.630 76.648 37.863 "7. 0037 -31 671~

SRAD 0, 0. 0. 0. 0., 0. 0>> 0.

SH SXH si 0.

63 ~ 696 53.168

'5.

94.245 0.

269. 107. 57 142.93 0.

117. 54 168.59 0.

~

109. 34 154. 19 0.

108.72 0.

81. 766 65.462 62:054 0.

$ $ .492 41 871

~

0.

S3 -75.451 -77.149 -80.965 -81.956 -77>> 538 -10".853 -69.0$ 7 -73.$ 42 SZNT 129.23 112.44 371 39 148.68

~ 223 196.36

'9 250 F 54 221.26 231.72 204.30 179. 57 156. 66 131.11 113. 60 ll5.41 102.20 SEQV EPELAXL 0.0000008 0.0000006 0 0000022

~ 0.0000031 0.0000027 0. 0000014 -0.0000003 -0. 0000011 EPELP>>AD 0.0000002 -0.0000002 -0.0000007 -0 0000009 -0.0000008

~ -0.0000004 0.0000001 0.0000003 EPELH 0.0000002 -0.000000Z -0.0000007 -0.0000009 -0.0000008 -0.0000004 0. 0000001 0.0000003 EPELXH 0. 0000059 0. 0000079 0. 0000100 0. 0000110 0. 0000102 0.0000082 0.0000061 0.0000052 EHD J SAXL 43.420 14 815

~ -10.155 -16.862 "1 3778

~ 27 '28 52. 197 58.904 SRAD 0~ 0. 0. 0 ~ 0. 0. O. 0.

SH 0~ 0. 0 ~ 0. 0. 0, 0 ~ 0>>

SXH 46. 022, 73. 246 109.19 132. 81 130.2$ 103.03 67.083 43.469 Sl 72. 596 81. 027 104.23 124. 64 129.57 117. 54 98.019 82.9$ 9 S3 -29.176 -66 213

~ -114.39 141.51 -130. 95 -90.312 -45.882 23.055 SINT 101.77 147.24 218. 62 266.15 260.51 207.85 143.96 105.01 90.771 1'21 13~ 189.40 230 65 ~

'EQV 225. 61 180.$ 2 12'7.38 95.595 EPELAXL 0.0000016 0.0000005 -0.0000004 -0.0000006 0.0000000 0.0000010 0.0000019 0 ~ 0000021 EPELPAD -0.000000S -0.0000002 0.0000001 0.0000002 0>>0000000 '-0 0000003 -0.0000006 -0.0000006 EPELH "0.0000005 -0 OPPOOPZ ~ 0.0000002 0.0000002 0>>0000000 -0>>0000003 -0.0000006 -0 0000005

~

EPELXH 0 0000043

~ 0.0000068 0 0000102

~ 0 0000124

~ 0 0000121

~ 0.0000096 0. 0000063 0>> 0000041 FORCES ON MEMMR AT NODE 113 230.964 -88.4868 95.9076 2115. 12 2$ 6.519 36$ .845 114 176. 681 -88. 4868 -115.993 2154. 74 232..972, . -1G6 663

~

96 NODES>> 113 127 FORC>> 0.30169 STRETCH>> 0.000887 P>>ATE>> 340.000 84 NODES 212 113 MAT>> 1 SFACTZ>> 1.6428 ,

SPACTJ>> 1.6428 SIOUX>> 195. 06 S3MN>> -1,31. 65 SlttTHX>> 250. 63 5EQVKC>> 1.31 ANGLE 0 45 90 135 180 225 270 31S EttD I SAXL 83.635 -9.6863 0.

87.366 250.67 143. 14 69.196 0.

-27.857 0.

-91.162 0.

SRAD 0. 0. 0~ 0 ~

SH 0. 0. 0. 0. 0. 0.

S:Qf 76. 624 91 ~ 477 97 661

~ 91. 552 76 '29 61. 87.6 55. 692 6l.

Si 45.475 8G.762 1$ 0.61 193.90 276.50 105>>49 31. 211 80'3.479 S3 -129.11 -96.449 63.302 -43.227 -33.356 -36.294 -71.336 122.37 SittT 274. 58 183. 21 213; 97 237. 13 209.86 141.78 114.82 153 58 ~

SEQV 1$ 6.87 158.74 190.38 218.74 195.33 227.57 200.40 140.60 EPEL'LXL "0 0000030

~ -0.0000003 0.0000031 0.0000054 0.0000051 0.0000025 -0.0000010 -0.0000033 EPEIRAD 0.0000009 0.0000001 0.0000009 0.0000016 -0.0000015 -0.0000007 0.0000003 0.0000010 BPELH 0.0000009 0.0000001 -0.0000009 -0.0000016 0.0000015 0.0000007 0.0000003 0. 0000010 EPEtXH 0 0000071

~ 0.000008$ 0.0000091 0.0000085 0.0000072 0.0000058 0.0000052 0.0000058 END>>7 SAXt -21.689 27.096 61.963 86.630 76.648 37.863 0031 -31 ~ 671 '7.

SRAD 0~ O. 0 ~ 0. 0. 0. 0. 0>>

SH 0. 0. 0. 0. 0>> 0. 0. P.

SXH 63.696 85.218 107.50 111.49 109.34 87.817 65.534 5$ . $ 42 Sl 53 ~ 168 94.194 142. 86 168 54 ~ 154.19 108.77 62.12$ 42.920 S3'5.457 -77.098 -80.896 -81.908 77.538 70.903 -69. 129 -13 591

'9

~

SlttT 129.23 171 223.75 2$ 231.72 179. 67 131 25 115 51 EPELAXL 112.44

-0.0000008

'48.59 0.0000006 196.24 0.0000022 221.18 0.45'EQV 0.0000031 204>> 30.

0.0000027 156.75

~

123.'72

0. 0000014 -0>>0000003 -P.pnnnpll 101. 28

~

EPELRAD 0.0000002 -0.0000002 -0.0000007 -O>>0000009 -0>>0000008 -0.0000004 0.0000002 0,0000003 EPELH 0>>0000002 -0 0000002 -0.0000007

~ 0.0000009 0.0000008 "0 0000004~ O.nnonnpi 0.0000003

'EPEIXH 0.0000059 0.0000079 0.0000100 0.0000209 0.0000102 0.0000082 0.0000062 0 00000$ 2

~

FORCES ON MEMSER AT NODE 112 250.086 -88.1851 -0.220852 1874.53 428.669 843 '95 113 230. 964 -88. 1851 -95.9076 2115.12 256.579 365 '45 EL>> 82 NODES>> 104 112 MAT>> 1 STR PIP SFACTZ>> 1,0000 SFACTJ>> 2.0000 S1MX>> 156. 81 S3MN>> "98.733'IHTttX>> 210.26 SEQVttX>> 189.28

~ ANGLE Z SAXI SRAD 0

-39>>108 O.

45 5.8592'4.824 0 ~

90 0.

103.25 135 0.

'8.617 180 0~

225 53.650 0.

270

-$ . 3148 O.

-43.736 315 0>>

SH 0~ 0. 0. 0>> 0. 0. 0. 0..

SXH 16. 624 91. 477 97. 661 91.552 76.129 61.876 55.692 61. 801

>> ~ c>> c>>c oc>>>>ca 11C 'll 1 CC '7'7 ca ace CR h4A CAP Page ~~

CALC. NO. Si.-3Z- thoro Rev.

8-11-1997 11:39A)'( FRO)q t(PR ASSOCJ+TFS 1NC '783 519 822d. P. 36 258. 55 iq j.

SEQV 138. 36 182. 15 289. 22 165. 49 119.85 96.608 115. 63 EPELAXL 0 0000014 0 ~ 0000002 0 ~ 0000023 Q QpQQQ37 p.0000035 0.0000029 -QI0000002 -0. 0000016

'4 EPELRAD Q. 0000004 -0. 0000001 -Q.OQOOQO7

~

-0. PPPPPll -0. 0000011 -0.0000006 0.0000001 0.0000005 EPELH P.PPPPQQ4 -0.0000001 O.QPPPPP7 P.PPPOP11 -0.0000011 -0.0000006 0.0000001 0.0000005 EPELXH p,p000071 o.oooooes o.opop092 0.0000085 0.0000072 o.ooooose 0.0000052 o.ooooose END J SAXI, -39.267 5-7463 '24 103 36~ 98e776 53.763 -5.3144 -43. 849

0. 0. 0. 0. 0. 0. 0. 0.

0. 0. 0 ~ 0. 0~ 0. 0. 0 ~

91 477 97.662 61.876 55.692 61.802 SZNT 76.624 59,466 98.733 158. 20

'8 F 94 396

~ 649 183 i 05 135.31

-70 487

~

205. 80 92.$ 52 156 ~ 81

-53.452 210. 26 76.729 140 64

-41 862

~

182. 50

~ 94.344

-40. 581 234 93~

53.099

-58.413 111. 52 43.6$ 1

-87.499 131. 15 SEQV 138. 40 1$ 8. 55 181. 15 189. 28 ~

16$ , 59 219.90 96.608 115. 68 BPBlAXL -O.PP00014 0.0000002 0.0000023 0.0000037 0.0000035 0. 0000019 -0.0000002 -0.0000016 EPELRAD O.OOOO004 -0 0000001

~ -O.OOOOO07 -0.0000022 -O.OOOQOll -0.0000006 0.0000001 0.0000005 EPELH O.OOOO004 -0.0000001 -0.0000007 -0.0000021 -0.0000011 -0.0000006 0.0000002 0.0000005 EPELXH 0.0000071 0.0000085 0.0000091 0.0000085 0.0000072 0.0000058 0.0000052 0.0000058 FORCES ON MEMBER AT NODE 104 250 '86 -88.1851 -0.220852 1874.53 ~ 428.674 841.748 112 250.086 -88.1851 -0.220852 1874.53 428.669 843.695 ELr '79 NODESr 103 104 MATr I TENP TOUT,TZN(Z)r 0 F 00 0.00 TOUT,TZN(J)r Q.pp 0.00 STHr 0.

SFACTZe 1.0000 SFACTJr 1.0000 SIMXr 199. 60 S3HNr -142. 81 SINTMXe 235 18~ SEQVHXr 22 8.46 225 315 END I ANGLE SAXI SRAO 161 09 0

~

0~

'47.770. 45 65 325

~

90 0.

135

-37 962

~

0.

-101 180

~ $8 0.

-88.266 0.

270 "5.8162 0.

97.470 0.

SH 0~ 0. 0. 0,, 0. 0. 0 ~ 0 ~

SXH 76.624 91.477 97.661 92 ~ 552 76.729 61.876 55 '92 61. 801 Sl 191.71 191.48 135 64 ~ 74 ~ 518 41.226 31.869 52.860 127. 44 S3 -30.625 -43.703 -70 315

~ -112.48 142.81 -120 13 ~ -58 676

~ -29.970 BINT 222.34 235.18 205.96 187.00, 184.0S 1$ 2.00 211. 54 157.41 SEQV 208 ~ 72 216 ~ 66 181. 33 163. 05 167. 27 138.84 95.637 144 77 ~

EPELAXL 0.0000058 0.0000053 0.0000023 0.0000024 -0.0000036 -0.0000032 -0.0000002 0.0000035 EPELRAD -0.0000017 0.0000016 -0.0000007 0.0000004 0.0000011 0.0000009 0.0000001 -0.0000010 EPELH 0.0000017 -0.0000016 -0.0000007 0.0000004 0.0000011 0.0000009 0.0000001 0. 0000010 EPELXH 0.0000072 0.0000085 0.0000091 0.0000085 0.00000'72 0.0000058 o ooooosa 0.0000058'.0000000 EPTHAXL 0 ~ 0000000 Oippppopp 0 ~ 0000000 0.0000000 0.0000000 0.0000000 0.0000000 EPTHRAD 0 0000000

~ 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0 0000000

~ 0.0000000 EPZHH 0 0000000

~ 0.0000000 0.0000000 0 ~ 0000000 0.0000000 '.0000000 0.0000000 0.0000000 END J SAXL -39.208 5.8592 64.824 103.25 98.617 53.650 -5.3).48 -43.736 SRAD 0. *

0. 0. 0~ 0. 0. 0. 0.

SH 0. 0. 0. 0. 0 ~ .0. 0 ~ 0.

SXH 76.624 91.477 97.661 91,552 76.729 61. 876 55.692 61. 801 Sl 59.526 94i454 135 31 ~ 156.73 140.52 94ea65 53.098 43.688 S3 -98.634 -88.595 70.487 -$ 3.480 -41.898 40. 615 -58. 413 -87.424 SZNT 158 16 183 05 205. 80 210. 21 182 41 ~ 134.88 111. 52 131.11 96 '08

~ ~

SEQV 138.36 158.55 181.15 189.22 165.49 119,85 115.63 EPELAXL 0.0000014 0. ~ 0000002 0.0000023 0.0000037 0.()000035 0.0000019 -0.0000002 -0.0000026 EPELRAD 0.0000004 -0.0000001 0.0000007 0.0000021 -0.0000011 -0.0000006 0.0000001 0.0000005 EPELH 0.0000004 -0.0000001 -0.0000007 -0.0000011 -0 0000011 -0.0000006

~ 0 0000001

~ 0.0000005 EPELXH 0.0000071 0.0000085 0.0000091 0.0000085 Oi0000072 0.0000058 0.0000052 0.0000058 EPTHAXL 0.0000000 0.0000000 0 ~ 0000000 0 ~ 0000000 0.0000000 0.0000000 0.0000000 0.0000000 EPTHPAD 0.0000000 0 ~ 0000000 0,0000000 0 0000000 0.0000000 0.0000000 0.0000000 0.0000000 EPTHH 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 FORCES ON MEMBER AT NODE 103 250.086 -88.2851 -0:220852 1874.53 434.803 -1605.39 104 250.086 -88.1851 -0.220852 1874.53 428.674 841.748 ELr '78 NOOSSr 202 103 MAge I VALVE TEMP TOUT,TZN(Z)+ 0.00 0.00 TOUT, TIN(J) e 0.00 0.00 STHr 0.

SPACTZ= 1.0000 SFACTJr 1.00 00 SIMXr 354 ~ 02 SSNNr 295,,51 SINTMXe 371. 69 SEQVNXr 3 63. 18 ANGLE 0 . 45 90 135 2.80 225 270 315 END I SAXL 334.23 , 270.51 65.759 0.

-160. 09 0.

-274 '20. -211. 00 0.

6.2498 0.

219.59 0.

SRAD 0. 0.

SN 0 ~ 0~ 0~ 0. 0. 0. 0 ~ 0.

SXH 76. 624 91. 4'77 97.661 91.552 76.729 61. 876 55.692 61. 801 Sl, 350.96

-16.729 298.54

-28.030 135. 93

-70.267

41. $ 6$

201. 65

19. 977 "294i70 16.806

-227.81 52.6$ 5 58.905 235.79

,-16. 198 S3 SZNT 367.69 359. 62 326 313. 50

'7 206.09 181. 49 243.22 225.33 324.68 305. 18 244.62 236.66 ill.

96.664

$6 251.d9 244.30 SEQV EPzuuL 0.0000120 0.0000097 O.OQOO024 -0.0000057 0.0000098 -0.0000076 -0.0000002 0.0000079 EPELRAD -0.0000036 0.0000029 -0.0000007 0.0000017 0.0000030 0.0000023 0.0000001 -0.0000024 EPELH -0.0000036 0.0000029 -0 0000007 ~ 0.0000017 0.0000030 0.0000023 OI0000002 "0>>0000024 EPELXH 0.0000072 0.0000085 Qa0000092 Oipo00085 0 0000072

~ 0.0000058 0.0000052 0.0000058 EPTHAXL 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 EPTKRAU 0.0000000 0 0000000

~ 0.0000000 0.0000000 0.0000000 0.0000000 0 0000000

~ 0.0000000 BPTHH 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0 0000000

~ 0.0000000 Et)D J SAXL 161.09 147.77 65.325 -37.961 "101. 58 -88.266 5. 8162 97.470 SRAD 0. . 0~ 0. 0, 0. 0. 0. 0.

SH 0. 0. 0 ~ oe 0 ~ o. 0. O.

SXH 76. 624 91 477 ~ 97.661 91. 552 '6.729 61.876 $ 5.692 61. 801 Sl 191,71 191. 48 2.35. 64 74. 518 41.226 31.869 52.860 127.44 S3 -30.625 -43.703 -70.315 -112. 48 142.82 120. 13 -58.676 -29.970 SZNT 222:34 . 235.18 205.96 187. 00 184.03 152.00 112. 54 157. 41

~ iAtl f i 1iC CC ~ d1 77 1C1 AC ~ C1 11 ~ le dA OC Cl7 1CC 77 page~4 CALC. NO. -33" /ddt Rev.

i8-11-1997 11:48AM FROM MPR ASSOC(ATES INC 783 519 8224 P. 37

-p.pp00017 -0.0000016 -0 0000007

~ O.pppppp4 0.0000011 0.0000009 0.0000001 -0.0000010 Q.0000071 0 0000085

~ 0.0000091 0,000 0.0000058 0.0000052 0.0000058 0000000 0~ 0.0000000 0.0000000 0.0000000 EPTHFAD 0.'0000000 0.0000000 0.'0000000 0.0000000 0.0'000000 0.0000000 0.0000000 0.0500000 p.oppooop 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 FORCES ON MEHSER AT NODE 102 250.086 -88.1851 -0.220852 1874.53 440.103 -3721. 83 103 250.086 -88.1851 -0.220852 1874.53 434.8O3 -1605 39~

BODES<< 108 102 ÃAT- STR PIP 77 CTZe 1.0000 SFACTJ~ 1.0000 SXMX<< 354.11 53MN<< -295.59 SZNTMX<< 371 77 SKO~~ 3 63.26 45 13S 180 2'2 5 270 315 .

ANGLE 0 END I SAXL 334.32 270. 57 65.759 -160.15 -274. 81 211. 07 -6.2500 219.66

0. 0. 0. 0. 0. 0.

'SRAD SH sXH

$1 76 '24 351.05 O.

0.

91 477 298 ~ 60 0.

97 '61 135.93 0.

91.552 41 555 0.

?9 19 972 0.

61. 876 16.8oa 0~

55.692 sa.655 OI

61. 801 235.85 0.

S3 -16.725 -28.025 -70.167 -a01.70 -294.78 -227.87 58. 905 16. 194 206.09 243.26 314'75 244.67 111. 56 252.04 SINT 367.77 .

359.70 0.0000120 326.62 313.55

'0.0000097

'81.490000024 0

225 37 p ppp0057 3Q5

-0.0000098 236.72 0.0000076

96. 664 0.0000002 244.35 0.0000079 EPELAXL ~

EPELFz D -0 0000036

~

-0.0000029 -0.0000007 O.ppppp17 Q.pppQQ3Q 0.0000023 0. 0000001 -0.0000024 EPELH -0.0000036 -0,0000029 -0.0000007 p pppppl7 0.0000030 0.0000023 0 0000001

~ -0.0000024 0.0000071 0.0000085 0,0000091 Q,QQQpp85 p ppppp72 0 0000058 o.ooooosa 0.0000058

'1

~

END J SAXL 33d.23 270 65.759 -160,09 -274,72 -211. 00 -6.2498 2X9.59 SRAD 0. 0. 0. 0. 0 ~ 0. 0. 0.

SH 0. 0. 0. 0. 0 ~ 0. 0. 0.

SXH 76.624 91.477 97-661 91 552

~ 76.729 61. 876 55. 592 61. 801 Sl 350 96 298,54 135 93 dl 565 19.977 16.806 52.655 235.79 S3 16.729

~

-'28 030, "70 167 e

-201 65

~

-294.70 227 '1 -58. 905 -16.198 SINT 367.69 326.57

~

206.09

~

243.22

~

314.68 244 '2 111. 56 251. 99 SKQV 359.62 313.50 181 '9 225.33 0.0000024 -0.0000057 305.18 236.66 0.0000098 -0.0000076 -0.0000002 96 '64 244.30 0.0000079 EPELAXL 0.0000120 0.0000097 EPELRAD -0.0000036 -0.0000029 -0.0000007 0 0000017

~ 0.0000030 0.0000023 Oe000000X -0.0000024

<<PELH "0.0000036 '0.0000029 -0 0000007 ~ 0.0000017 0 0000030

~ 0 0000023

~ 0.0000001 -0.0000024 EPELXH 0.0000071 0.0000085 0.0000091 0 0000085

~ 0.0000072 0.0000058 0.000005'2 0.0000058 FORCES ON MEMBER AT NODE 108 250.086 -88.1852 0.220852 1874.53 440.106 -3722.89 102 250.086 -88 1852

~ -0 '20852 1874.53 440.103 -3721. 83 EL<<81 NODES< 107 108 MAT<<1 SFACTJ<<'.6443 SFACTZa 1.6443 ,

SXMX> 565. 17 S3MNe -512. 07 SINTMX<< 566.78 SEQVMX<< 565.98 ANGLE 0 45 90 135 180 225 270 315 END I SSAXL 191.89 217.45 516.08 529.07 248.81 160.53 -459 ~ 16 -d'72.15 SRAD SH SXH Sl 68.707 22.063 0.

0~

'0. '4 233

-15.792 0.

0 691

~

41.413 519.38

-3.3020 0.

0.

22.165 530.00 0.

0.

14.224

0. 81051 0.

0.

3.0241 22.?40'49.62

-16'3. 55 0.

0.

41.518 3.7239

-462.88 0.

0.

60.765 7.6949

-479 0.

0.

'5 83 -213.95 0. 92701 SZNT 236.02 249.03 522.68 530 '2 250.,43 166. 58 466.61 48'd SEQV 225. 80 241. 52 521. 04 530.46 250.03 X65 ~ 09 464.76 483.74 EPELAXL 0.0000069 0.0000078 0.0000185 0 ~ 0000190 0,0000089 0.0000058 -0.0000165 -0. 0000169 EPELRAD 0.0000021 -0.0000023 -0 0000055

~ -0.0000057 0.0000027 0.0000017 0.0000049 0.0000051 EPELH 0.000002X -0.0000023 0.0000055 -0 0000057

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~ 1874. 53 3722. 89 440. 106 80 NODESa 106'07 MAT 1 SFACTZ 1.6443 SFACTJ 1.6443 565.17 -512. 07 '8 565.98 mD SXMXa I

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0.0000022 J SAXL -191. 89 217. 45 516. 08 529.07 248+81 -160.53 -459.16 -472.15 sean n ~ n O. 0. n. 0. 0. 0.

page ~~

CALC. No. / -ZZ - P'a (0 Rev.

,8-11-1997 11l48AM FROM MPR ASSPC)ATES (NC 783 519 8224 P. 38 SI. 22. 063 233. 24 519. 38 $ 30. 00 249, 62 3.0241 3.7239 7.6949 z'./s.(

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'4 260.66 259.22 94.703 93.080 149.31 143.45 264.70 262.93 SEQV 234.38 114.55 EPELAXI -0.0000084 -0 0000024 0.0000052 0.0000100 0;0000091 0.0000032 -0.000004$ -0.0000092 EPELRAD 0.0000025 0.0000001 -0.0000016 0.0000030 -0.0000027 -0.0000009 0.0000013 0.0000028 EPELH 0.000002$ 0.0000007 0.0000016 -0.0000030 -0.0000027 -0.0000009 0.0000013 0.0000028 EPELXH -0.0000008 "0.0000050 -0.0000072 0.0000062 -0.000002S 0.0000016 0.0000039 0.0000028 ~

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-442. 091

~ 1646.65 1879.83 2987,07 1486.$ 6 95 88. 1851 250. 086 38.8632 EL=, 74 NODESn 98 99 MATn 1 SFACTIn 1.0000 SFACTJn 1.0000 SIHXn 645.89 S3MNe -590.62 SZNTMXn 646.02 SEQVKGs 645.96 180 22$ 270 31$

END ANGLE I SAXI 0

81. 843 501.07 45 643 44 90

~

135 42$ .$ 7>> 24 926 444>> 15 -586.$ 3 -368 '50.

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0

,8-11-1997 11:41~ FROM 1hpR A99pp(ATp9 1'83 619 8224 P. 39

-0. 0000006 -0.0000005 0 0000011 0. 0000031 0.0000045 0 0000043 0 0000028 0 0000008 EPELXH J SAXL 145.20 2'78 ~ 54 2S4.86 88.032 124. 22 -257

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0. 0000143 184.78 0.0000023 364.27 0.0000116 PELAXL 0 ~ 0000194' ~ .0000164 0 000004$

~

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BPELM 0.0000058 0.0000049 -Or0000013 0.0000028 0 0000052

~ 0.0000043 0.0000007 -0.0000035 EPELXH 0.0000077 0.0000053 0.0000055 0 0000058

~ 0 0000070

~ 0.0000085 0.0000093 0.0000090 PORCES OM MEMBER AT ?CODE 92 243.079 86.5391 70.4690 3180.36 876.937 -5107.16 93 252.569 86 5391

~ 16.1866 1938.03 1161. 65 -6236. 38 EL< 68 NODES'6 92 MAT~ 1 STR PZP SFACTIe 1.0000 SFACTJ= 1.0000 SZMX>

E'ID I AISLE SAXL 494.29 230.67 0

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~ '5 "114.25

-427.08 SZNTMXi 86.023 90 535.74 252.85 135 SEQVMX=

180 288.51 51 6.27 225 172.10 270

-28.181 315

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'9 '8

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~

83 -277. 02 201. 69 -113 ~ 69 -74 767 ~ -61,503 -67.677 -124.49 -239.83 SZNT 323 38, ~ 289.12 . 313.40 402.39 411. 71 307.45 220 80 F 284.64 SEQV 302.87 256 82 ~ 274r80 370.70 384.63 279.82 191.74 265.09 BPBLAXI -0.0000083 -0.0000041 0.0000031 0.0000091 0. 0000103 0.0000062 -0.0000010 -0.0000070 EPELRAD 0.0000025 0.0000012 -0.0000009 -0.0000027 -0. 0000031 0. 0000019 0 0000003

~ Or0000021 EPELH 0 0000025

~ 0 0000012

~ 0 0000009

~ 0 '000027 -0. 0000031 -0.0000019 0.0000003 0.0000021 EPELXH 0 0000106

~ 0. 0000124 0. 0000140 0. 0000146 0. 0000137 0.0000119 P. 0000102 0. 0000097 END J SAXL -388.89 -317.25 -42,820 273.53 446.73 375.09 100 66 -215.79 SRAD'. 0-0.

0.

0, 0.

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0:

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132.79

48. 248

'50.68 130 r79 156.51 344. 69 146.86 490.69 127.39 414.26 109. 50 170. 84 103. 67 41.736 S1 30. 612 S3 SINT

-419. 50 450 ~ 12 435 52 365. 49 413.74 391 85

-173 61 304.39 264 48

~ -71 063 415.76 385 17

~ -43.954 534r64 514.08

-39. 172 453 '3 435. 17

-70.181 241.

214 '72 02'99. "257 52 280 73 F

26 SEQV ~ ~ ~ ~

EPELAXL 0 0000139

~ 0 0000114

~ 0 0000015

~ 0 0000098

~ 0.0000160 0.0000134 0.0000036 -0.0000077 EPELRAD 0.0000042 0.0000034 0.0000005 0.0000029 0.0000048 -0.0000040 -0.0000011 0.0000023 EPELM 0,0000042 0.0000034 0 000000S

~ 0.0000029 -0.0000048 0.0000040 -0.0000011 0.0000023 BPBLXH 0.0000106 0.0000124 0.0000140 0.0000146 0.0000137 0. 0000119 0.0000102 0.0000097 FDPCES ON MEMBER AT NODB 86 243 '79 86.5391 70.4690 3180.36 697.990 3173.08 92 243 '79 -85 $ 391

~ -70.4690 3180.36 -876.937 5107.16 EL- 67 NODES~ 86 88 FOKCe 39 '25 0.000000 BATE+ prlpppppEi11 66 NODES< 86 87 FORCe -386r37 STRETCHY 0.000000 BATES prlpppppE~11 65 NODES~ 83 86 MATa 1 STR PZP SPACTZ~ 1.0000 SFACTJ< 1 ~ '0000 Page 48

,8-11-1997 11:43AM FRQM MPP PSSpcypTE9 INC 783 519 9224 ANGLE 0 45 90 135 180 225 270 315 END I SRAD SAXL 2090 '

0.

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SXH 104.03 191.23 242.61 228.08 156 13 ~ 68.933 11.553 32.091

$1 2095.9 1926. 3 706. 74 49. 116 11. 922 2.5658 0.544Z1 1061 4

-5. 1636 18.985 -83.286 -1057,8 -2044 ' -1852 0 ~ 566.15 0.96478 2101 1 ~ 1945 '

1935 8 790 151-85

'3 1107.0 2056.8 1854. 6 1853.3 56'9 566.42 1068.4 1067 '

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0.0000749. 0.0000684 0.0000223 -0.0000352 -0,0000729 0.0000663 -0 0000203 ~ 0.0000382 BPBLRAD -0.0000225 -0.0000205 -0.0000061 0.000oloa 0.0000219 0. 0000199 0 0000061

~ -0. 0000115 EPELH -0.0000225 -0.0000205 -0.0000051 0.0000108 0~0000219 0. 0000199 0.0000061 0.0000115 EPELXH 0.0000097 0.0000178 0 0000225

~ 0 0000213

~ 0.0000146 0.0000064 0.0000016 0 0000030

~

END J SAXl 230.68 -114.26 86.026 252.81 288.53 172.11 -28. 118 -195 02 ~

SRAD 0. 0. 0. 0. 0. 0., 0. 0.

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SXH 104.03 191.23 242.61 228.08 156.13 68.933 17. 553 32. 091

$1 39.986 142.45

-256.72 289

-203

'1

'8 387.21

-134.34 '8.316356.84 196. 32

-24 '05,

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-36.597

5. 1450

-200 '6

$3 270.66 SZNT 310.65 399.17 492.8o szl.SS 425.16 220.52 ~ 45.016 205.31 SEQV 292.71 350.38 428 '4 0-0000031 469.04

0. 0000091 395.45 209.41 0.0000062 41.452 0.0000010 ZO2.19 0.0000070 BPELAXL -0.0000083 -O. 0000041 0. 0000103 EPELRAD 0. 0000012 -0. 0000009 -0. 0000027 0. 0000031 -0.0000019 0 0000003

~ 0.0000021

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0.0000225 0.0000213 0 0000146 0.0000064 0.0000016 0.0000030 726'0

~

PORCES ON HEMBEK AT NODE 83 243. 103 -472. 907 -109. 480 3180.18 -25203 3 F 86 Z43. 103 -472. 907 "109. 480 3180.18 697.990 3173.25 64 NODES~ 83 85 PORC~ -216. 84 STREZCHe 0. 000000 RATE> 0. 100000E411 63 NODES' 83 84 PORC~ 810.13 STRETCHY 0.000000 RATE~ 0.100000E+11 EL= 62 NODES~ al 83 HAT~ 1 STR PZP SFACTZa 1.0000 . SFACTJ< 1.0000 S1HXi '2179. 8 $ 3HNe -2119 ~ 5 SINTHXi 2193.7 SEQVHX~ 21 86.8 ANGLE 0 45 90 135 180 225 270 315 END Z SAXL 1094.0 895.98 1S9,67 -611.17 1037.4 -839. 31 133.06 667.77 SRAD 0, 0. 0. 0 ~ 0. 0~ 0. 0.

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$1 1130.2 912.57 210.35 6. 6968 13.498 44.447 197.28 755 18 ~

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-16. 592 929 16 920.98

~

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~ 0.0000219 0.0000372 -0. 0000301 0.0000048 0.0000239 EIPJLD -0.0000118 -0.0000096 0.0000020 0 0000066

~ 0. 0000112 0.0000090 0 0000014

~ -0.0000072 BPBLH -0.0000118 <<0.0000096 -0.0000020 0.0000066 0. 000011'2 0.0000090 0.0000014 0 0000072

~

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~ 0. 0000111 0.0000185 0 '000238 0.0000239 END J SAXL 2081.5 1900 ' 622.83 -1003.2 -2024.9 -1843. 9 "566.23 1059oa SRAD 0. 0. 0 ~ Oe . 0. '0. Oo 0 ~

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SXH 202.15 123,05 65.961 64.325 119. 10 198.20 255.29 256.92

$1 2101.0 19.450 1908.5

-7.9335 629

-6.9089

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<<1007.3

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-664.33 1118.

-59.002 8

$3 SINT 21Z0.4, 1916.4 636. 65 1011.4 2038.9 1886.1 752.43 718. 42 11'17.8 1149,4 SEQV 2110. 8 . 1912. 5. 633. 22 1009. 3 ~035. 4 1875. 6 EPELAXl 0.0000746 0.0000681 0.0000223 -0.0000360 -Oi0000726 "0.0000661 -0 '000203 0.0000380 EPEIRAD -0.0000224 -0.0000204 -0.0000057 0.0000108 0.0000218 0 ooooi98 0. 0000061 0 0000114

~

EPELH -0.0000224 -0.0000204 0.0000067 0.0000108 0. 0000218 0. 0000198 0.0000061 -0.0000114 EPELXH 0. 0000188 0. 0000115 0. 0000051 0. 0000060 0. 0000111 0. 0000185 0.0000238 0.0000239 ~

FORCES ON HEHBER AT NODE 81 237 ~ 882 397.820 174. 501 ~ 3926. 81 1912. 45 -13026. 9 83 237.882 397.820 174.501 3926.81 7267.30 -25097.8 EL 61 NODESa 81 82 FORCa 2.3737 STRETCHe 0.021194 RATE~ 112.000 EL> 60 NODES'5 , 81 HAM 1 STR PZP SFACTI> 1.0000 SFACTJ> 1.0000 SIHX~ 1141. 0 S3HN~ -1071. 2 SINT?Cti 1166 ' SEQVHX~ 11 53. 9 END Z SAXL AlKLE SRAD SH SXH

$1

$3 1038.2 184. 64 1070.0

31. 862 0

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0.

837,29 105. 64 850.41

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162.88

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'8 0.

0 ~

135

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-594 11 ~

0.

-980.35 180 104,98

11. 115

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0.

225 779.48 183. 98 41.243 820.12 0.

0.

-105. 07 240 270 193.19

-298.25

'4 0

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315 647.82 240.31 727 23

-79. 411

~

0.

SZNT 1101. 9 863: 53 190. 69 sga.zo 1002. 6 861.96 491 44 ~ 806.64 SEQV 1086.3 857 .05 184.13 596.16 997,. 07 842. 10 428.83 770.01 SXELAXL O.0000312 O.00003OO 0.0000058 -0.0000211 -0.0000351 -0.0000219 -0.0000038 0.0000232 EPELKAD 0.000011'2 -0.0000090 -0.0000018 0.0000063 0.0000105 0.0000084 0.0000011 0.0000070 EPELH -0. 0000112 -0. 0000090 -0. 0000018 0.0000063 0. 0000105 .,0.0000084 0.0000011 -0.0000070 EP??LXH 0. 0000172 0.0000098 0.0000046 0.0000046 0.0000098 0. 0000111 0.0000224 0.0000224 BND J SAXL 1103.6 902 ~ 95 190.27 -616.95 -1045.8 -845.15 -132.46 674.76 SRAD 0. 0. 0. 0. O. 0. 0 ~ 0.

SH 0. 0. 0. 0. 0. 0. 0. 0 ~

SXH 184.64 105.64 49.581 49.307 104.98 183,98 240.04 240.31

$1 1133.7 915. 16 202 41 ~ 3. 9158 10. 433 38 313

~ 182.78 751.60

-30 072 -12 194 -12. 145 620.87 -1056.3 -883.47 -315. 24 76.837 SINT

$3

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~

927. 35 214 56 ~ 624.18 1066.7 921 18~ 498.01 A') C OC 828

't4% 0 ~

'3 CALC. NO. ~

55- z<~v Rev.

,8-11-1997 11:434M FROM MPR PSSOcyPTE9 INC 783 519 8224 P. 42 EPBLRAD EPELH

-0.0000119

-P.OOOO119

-0.0000097

-O.OO00097

-0.0000020

-0.0000020 O.pQQQQ65 0.0000066

0. 0000112

0. 0000112 0 ~ 0000091 0>>0000091 0.0000024 0 0000014

-0.0000073

-p.0000073 "~/r )

RPELXH 0.00001'72 o 0000098

~ 0.0000046 0.0000046 0.0000098 0 0000271

~ 0.0000224 0.0000224 FORCES PN HEHBER AT 167.397 3540 ~ 19 1637.61 12335.7 Sl 242.934 400.194 167. 391 3540.19 1972.45 -23131. 2 59 NODES>> 15 80 PORC>> 0.27505R 02 STRETCH>> 0.017506 RATE>> 1.00000 56 NODES>> '19 75 HAT>> STR PIP I"- 1.0000 SFACTJ>> 1.0000 HX>> 1074. 5 S3HN>> -1003.2 45 SINTHX>> llpl 9 SBQVHX~ 1088 '

225 270 325 90 135 180 RND I ANGLE SAXL 174.30 0

-29.012 198.39 234 116 ~ 48 86 ~ 831 0.

?56 21 ~

0.

292 '4 0.

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SH 0 0. 0. 0. 0. 0. 0. 0.

SXH 184.54

~

105.54 49 '88 49,22j 104.89 183.89 239.94 240 21 ~

Sl 291.23 92.024 12.6S9 9.9076 61.738 232.35 400.10 427.43 S3 -116.93 -121.04 2IO.Q5 221.11

?44 53 -178.21 -145. 53 377.90

-143.80 544.00

-134 562.43

'9 S>NT 408.16 213.06 254 43 239.95 SRQV 364. 06 185. 08 216.12

-0.0000071 249. 63 215 '1 330 '4 o.oooo031 488.22 0.0000092 S08.55

0. 0000105 EPELML 0.0000062 -0.0000010 -0.0000084 -o.ooooo4a RPEI RAD -0.0000019 0.0000003 0.0000021 0.0000025 0.0000013 -0.0000009 -0.0000028 -0.0000031 EPELH -0.0000019 0 0000003

~ 0 ~ 0000021 0.0000025 0.0000023 0.0000009 0.0000028 -0.0000031 RPBLXH 0.0000172 0 ~ 0000098 0.0000046 0.0000046 0.0000098 0.0000171 0:0000224 0>>0000224 END J SAXL 1038.2 837.33 162.88 -590.05 -98O.4O -779.52 105.06 647.87 SRAD 0. 0. 0. 0. 0. 0. 0. 0 ~

0. 0. 0. 0. 0. 0. 0. 0.

'76 SN SXH 184.54 105.54 49 488 49.221 104.89 183.89 41.204 239 '4 240.21 727 21 Sl 2010.0 850.43 ~ 74 4.0777 11.097 193 ~ 10 ~

S3 -31. 825 -13 097

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~

F 596.17

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997.09 842.07

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-0.0000038 769.96 0.0000232 RPRLAXL 0.0000372 0.0000300 0.0000058 -0.0000211 -0.0000351 RPRLPAD 0 0000112

~ -0.0000090 -0.0000018 0.0000063 0.0000105 0.0000084 0. 0000011 -0.0000070 RPBLH -0.0000112 -0.0000090 <<0.0000018 0.0000053 0. 0000105 0. 0000084 0. 0000011 -0.0000070 EPELXH 0 0000172

~ 0.0000098 0 0000046

~ 0.0000046 0.0000098 0.0000171 0.0000224 0.0000224 PPRCES ON HRHBER AT NODE 79 242.983 400 '94 167.351 3537.90 -'2778.42 -1777. 14 75 242.983 400.194 167.351 3537.90 1637. 61 -12337 4 ~

EL>> 58 NODES>> 78 79 HAT>> I SFACTI>> 1.0000 SFACTJ>> 1.0000 >>

SINX>> 567,28 S3HN* -415. 33 SINTHX>> 665. 65 SEQVHX>> 62 2.28 ANGLE 0 45 90 235 180 225 270 315 END I SAXL 284.68 462>>31 389.67 109.32 214>>52 -392.15 0.

-319 51 F 0.

"39.150 0.

SRAD 0. 0. 0. 0 ~ 0.

SH 0. 0. 0. 0. 0. 0~ 0. 0 SXH 257.38 225.46 '55>>13 515.

229.02 290.11 152.42 87.383 94.348

21. 519

~ 64. 575 90.185 13.293

~

Sl 354 54~ 554. 05 85 12 595

~

S3 -69. 864 91.745 -225,18 -180.79 -301. 90 -413.66 -332. 10 122. 45 SINT 424.41 645.80 642.04 470.91 389.29 435 18 F 344.70 185.75 SEQV 394. 15 605.16 589. 17 411.46 353.78 424.83 338.58 162.05 RPRLAXL 0 0000102

~ 0.0000166 0.0000140 0.0000039 -0.0000077 -0 ~ 0000141 "0.0000115 -0.0000014 RPRIRAD -0.0000031 -0.0000050 -0 0000042 -0.0000012 ~ 0.0000023 0.0000042 0.0000034 0.0000004 BPBLH -0 0000031 -0.0000050 -0.0000042

~ 0.0000012 0.0000023 0>>0000042 0>>0000034 0 0000004

~

EPELXH 0 0000147

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~ 0.0000085 RND J SAXI>> 116.48 86.S31 256.21 292.44 174. 30 29.012 -198.39 "234.62 SRAD 0 0. ~ 0~ 0. 0 ~ 0. 0. 0.

SH . " 0. 0. 0. 0. 0. 0. 0. 0.

SXH 104. 89 183: 89 239. 94 240. 21 184.54 105.54 49.488 49. 221 Sl 61.738 232.36 400.10 427.43 291.23 92.024 11. 559 9.9076 S3 -178.21 -245.53 143.90 -134.99 -116.93 -121.04, -210.05 -244.53 SINT 239.95 377.90 544.00 562.43 408.16 223.06 221.71, 254.43 SEQV 215.81 . 330.14 '88.22 508.55 364>>06 185. 08 . 216. 12 249. 63 EPELAXL -0 0000042

~ 0 0000031

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~ 0. 0000105 0.0000062 <<0.0000020 0. 0000071 -0.0000084 EPBLRAD 0. 0000013 -0. 0000009 <<0.0000028 0. 0000031 -0. 0000019 0.0000003 0.0000022 '.0000025 EPELN 0 0000013 '"0.0000009

~ -0.0000028 -0.0000031 -0. 0000019 0.0000003 0.0000021 0.0000025 0.0000098 0.0$ 00272 0.0000224 0.0000224 0.0000172 0.0000098 0.0000046 0.0000046 RPELXH FORCES ON MENDER AT NODE 78 294.847

'242. 983 400.194

-400. 194

-10. 5879

-167.351 3909.19 3S37.90 4334 '6 2778.42

-3050.99 1777.14 79 EL>> 57 NODES> 17 78 HAT>> I SFACTI>> 1.0000 SFACTJ>> '.0000 SlNX>> 804.27 S3NN>> -656. 43 SINTHX>> 951.83 SEQVHX>> 890.38 ANGLE 0 45 90 135 180 225 270 315 I SRAD

&a) SAXL 596.61 0>>

612.24 0 ~

285.49 0.

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0. 0. 0. 0. 0. 0.

SH SXH Sl S3 314. 40 731.75

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~ 54 374. 05 543.11

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321. 01 239.85 429 0~

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-327.79 236.64 392.85 142. 55 BINT 856. 83 807.81 961. 83 88'7 800.73 707.99 669.48 587.50 723

,681,.8S

'7 664.96 638.32 430.53 3S9.53 535>>40 480>>26 SEQV RFBLAXL o.ooooal4 o.ooooa19 o.ooooloa -0.0000058 -0 ~ 0000292 -O. 0000197 -0.0000082 0.0000090 EPELRAD -0.0000064 -0.0000066 0.0000031 0.0000020 0.0000058 0.0000059 0.0000024 -0.0000027 EPEL'H -0 0000064

~ 0 ~ 0000066 "0.0000031 0.0000020 0 0000058

~ 0.0000059 0.0000024 -0.0000027 PELXH 0.0000293 0.0000346 0.0000349 0.0000299 0.0000227 0. 0000174 0.0000172 0. 0000221 SAXL 284.68 '62.31 389.67 109.32 -214, 52 n.

-392. 15 "319 51 ~ -39.160 n.

c>>an n h. n. n, n

~~

CALC. NO. <+dr'age Rev.

8-11-1997 11:44AM FROM MPR ASSOC(ATES INC 783 519 8224 P. 43 354 ~ 54 554 05 515, 85 87 ~ 383 21. 12. 595 73.293 S3 -69.864

~

-91.74$

~

-126. 18 Zgp, 11 180 '9 -301.90 519'413 66 -332. 10 -112. 45 3l/<(

SZNT 424. 41 394.15 645. 80 605.15 642. pd 589.17 470 91 389.29 353.78 435.18 424.83

~

344 70 185 '5 162.05 SSQU 411,46 338.58 FPELAXL 0.0000102 0 0000166

~ 0 000014P

~ O.OOPP039 0. 0000071 0. 0000141 0. 0000115 -0.0000014 EPELRAO 0 ~ 0000033. "'0 00000'50 F -0 0000042

~ -0 0000012

~ 0.0000023 0 ~ 0000042 0 '000034 0.0000004 EPELH -0.0000031 -0.0000050 0.0000042 -P,PPPOP12 0.0000023 0.0000042 0.0000034 0.0000004 EPELXH 0.0000147 0 0000210

~ 0.0000238 0.0000213 0. 0000151 0.0000088 0.0000050 0.0000085 ON HEMBER AT NODE 77 '254.360 400.194 149.492 6816.50 3119. 75 -6923 50 F

78 294I847 -400 '94 -10.5879 3909. 19 4334.36 3050.99 El. 55 NODESa 68 77 MAT 1 STR 'PZP SFACTZa 1.0000 SFACTJa 1.0000 S1MXa 873. 90 83MNa -742-94 SlhTMXa lp07, 3 SEQVMXa 947.66 ANCLE 0 45 90 135 190 225 210 315 END I SAXL -64'6 -599.85 -183.53 359.03 707.58 660.37 244.05 -297.50 SRAD 0 0 ~ 0. 0. 0. 0 ~ 0. 0.

SH 0. 0. 0. 0. pe 0 ~ 0. 0.

SXH 243.25 186 34~ 183. 60 235. 64 314. 40 371. 32 314 05~ 321: 01 Sl 81. 246 S3, 170 113 ~ 49 475. 74 827.09 827.08 515.48 205.05 S3 728. 30 -553. OZ -297. 02 -117. 71 -119 51~ -165. 70 -271.43 -502.55 SZNT 809. SS 106.19 410. 50 593.45 946.60 993.78 786. 91 107. 60 SEQV 712.14 681.16 367 16 544.23 892. 81 921. 80 692.32 630.59

~

EPELAXL -0. 0000232 -0. 0000215 "0. 0000066 0. 0000128 0.0000254 0.0000237 0:0000097 -0 . 0000101 EPELRAD 0.0000070 0.0000064 0.0000020 -0.0000038 -0 0000076 "0.0000071 -0 '000026

~ 0.0000032 EPELH 0.0000070 0.0000064 0.0000020 -0.0000038 -0.0000076 -0.0000071 -0.0000025 0.0000032 EPEZ XH 0. 0000227 0. 0000174 0 0000171 0. 0000221 0.0000293 0 '000346 0.0000349 0.0000299 END J Side BRAD

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250 '0 596. 61 0.

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SXH 243.2$ 186.34 , 183.60 235.64 314. 40 371. 32 374.05 321.01 Sl 93.915 57.122 102.83 392 85F 731:75 786.54 543.11 Z39.85 S3 -630.06 -607.84 -327.79 -142.55 -135.09 -175.29 -257.62 -429.63 SZNT'23.91 664.96 430.63 535.40 866.83 961.83 800.73 669.48 SEQV EPELAXL 681.88

-0. 0000192 638 '2 389.53

0. 0000197 -0 e 0000081 480.26 0 e 0000090 807.81 0.0000214 887.27 0.0000219 707.99 0.0000102 587.50

-0.0000068 EPElRAD 0.00000SB 0.0000059 0.0000024 -0.0000027 0.0000064 0.0000066 0. 0000031 0.0000020 EPELH 0.0000058 0.0000059 0.0000024 -0.0000027 -0.0000064 -0.0000065 -0. 0000031 0.0000020 EPEZXH 0.0000221 0.0000174 0.0000171 0.0000221 0.0000293 0.0000346 0.0000349 0.0000299 FORCES ON MEMBER AT NODE 68 254.360 400.194 "149. 492 6816. 50 -2613.30 8219. 29 71 254. 360 400. 194 149.492 '816.50 -3119.75 6923.50 ELa 54 NODES 68 73 FORC 8.7361 STRETCHa 0.104002 RATEa 84.0000 51 NODESa 72 68 MAT 1 STR PZP Za 1.0000 SFACTJa 1.0000 985.16 SSMN -871.09 SZNTMX 1097.1 SEQVMXa 1045,6 ANGLE 0 45 90 135 180 225 270 315

'2

~

I SAXL -191.60 -667.38 -128.49 503.39 858.13 727.91 189 442.87 SRAD 0. 0 ~ 0 ~ 0. 0. 0~ 0 ~ 0.

SH O. 0. 0. 0. 0. 0. Oo 0.

SXH 243.25 ~ 184 87~ 181.52 235.17 314 40

~ 372. 79 316. 13 322. 48 Si 68.333 47.786 128.31 596.16 960.99 884.95 482.33 169.75 S3 -865. 93 -715. 17 -256. 80 -92.'170 -102. 86 -151. 04 -293 31~ -612. 62 SZtlT 934.27 762.96 385.11 688.93 1063.8 1042.0 775.65 782.37 SEQV 902.04 74'0.22 339.64 641.55 1.016. 3 913. 02 678. 35 712. 82 EPELAXZI -0.0000285 -0.0000239 >>0.0000046 0.0000180 0~0000308 0.0000261 Or0000058 -0.0000159 EPELRAD 0.0000086 0.0000072 0.0000014 -0.0000054 -0.0000092 -0 '000078 -0.0000020 0.0000048 EPELH 0.0000085 0.0000072 0.0000014 0.0000054 0.0000092 -0,0000078 -0.0000020 0.0000048 EPELXH 0.0000227 0.0000172 0.0000169 0 '000219 0.0000293 0.0000347 0. 0000351 0.0000301 END J SAXL -647.06 -599.85 183.53 358.03 707.58 660.37 244.05 -297.50 SRAD 0. Oe 0. 0. 0. 0. O. O.

SH 0. 0. 0. 0. 0. 0. 0. 0.

SXH 243.25 '84.87 181.52 235.17 314.40 372.79 316. 13 322.48 206.38 Sl 81. 246 52. 396 111. 63 474. 51 827.09 828.18 517. 46 S3 -728.30 -652.24 -295.16 -116.54 -119. 51 -167. 80 -273.40 -503.98 SINT SEQV 809.55 772.14 704 679.96

'4 406.79 364.05 591.11, 542 31~

946.60 892.81 995.98 923.58 790.86 695.69 710.26 632.84 EPELAXL -0. 0000232 -0.0000215 -0. 0000066 0.0000128 0.0000254 0.0000237 0 0000087

~ 0. 0000107 EPELPAD 0,0000070 0.0000064 0 0000020

~ -0.0000038 -0.0000076 -0.0000071 0.0000026 0.0000032 EPELH '.0000070 0.0000064 0.0000020 0.0000038 0 0000076 -0.0000071 -0.0000025 0.0000032 ~

EPELXH FORCES ON ~R 0.0000227 AT NODE 0.0000112 72 68 254 '60 254.360 0.0000169 0.0000219 408 '30 408.930 0.0000293

-149+492 149a492 0.0000347 6816.50 6816.50 0.0000351

-1940. 58

-2613. 30 0.0000301 10119.5 8219. 29 ELa 53 NODES> 71 72 MATa 1 SPACTZa '1.6428 SFACTJa 1.6428 SlMXa 1843.7 S3MNa -1118.0 SZNTMXa 1865. 4 SEQVKfa 1854. 7 ANGLE 0 45 90 135 180 225 270 315 END I SAXL -648.'55 703.03 1675.5 0.

1699.1 0.

760ol5 0.

-591. 42 0.

-1563.9 -1581. 5 0.

SRAD 0. 0 ~ 0 ~

SH 0 0. 0. 0. 0. 0 ~ 0. 0.

SXH 131. 14 163. 91 192.72 200.69 183.16 150.39 121. 58 113. 61 Sl 25. 514 739 ..37 1697.3 1722.5 '801.98 35.043 9.3951 8.0886

-62'7

~

S3 674. 06 -36. 338 ~ -21. 882 23.383 -41. 830 -1573 ' -1595.6 SZNT 699.57 775.70 1719.2 1'145. 9 843 ~ 81 663. 51 1582s5 1503 7

'58-19.

~

SEQV 681. 17 1708 ~ 4 1734.3 823.69 '46.24 1578.0 1599.7 EPELAXL 0 0000232 0.0000252 0.0000601 0.0000609 0.0000272 -0. 0000212 -0.0000561 -0.0000559 v e.RAO n nnnnn7o -n.nnopov6 -0.00001BQ 0.0000183 O.nnnoodi 0.0000064 0.0000168 0.00001'11 Pege CALC. NO. 0 Rev.

,8-11-1997 ll:45AM FROM MPR PSSpc~pTE9 INC 783 519 8224 P. 44 EPELXH p. OOOO122 0. 0000153 0. 0000180 0.0000187 p.p000171 0 0000140 0. 0000113 0. 0000106 END J SAXL 230.54 80'7 52~ 1390 3 ~ 1176.4 291. 01 -747. 00 -1329. 8 -1115 8 ~

SRAD 0. 0. 0. 0. 0. 0. 0, 0.

SH 0. 0. 0. 0. 0. 0. p.

SXM 181.52 235.17 314.40 372.79 376. 13 0.'22.48 243.25 184.81 Sl 99,755 811 02 ~ 1458 1 ~ 12&4.$ 548.84 119.95 43. 101 29. 830 33p.30 -63.496. -61.792 108.19 -257.77 -866.95 '-1372. 9 -1145.7 S3

'2 SITTT SEQV EPELRAD EPELM BPBT XH 430.PS 389 81~

0 ppppp&3

0. pp00025 '. 934 904.44 0.0000289 0000087 1525.9 1493.1

-0 0.0000498

~

p.ppppp25 -0.0000087 -0.0000149 -0.0000126 -0.0000031 0.0000169 0 0000219

~ 0.0000293 1392.7 1341.9 0.0000422 0000149 -0.0000126 0.0000347 806.61 713.5$

0.0000104

-O.OOOO031 O,OOO0351 986.90 932.73

-0 ~ 0000258 0.0000080 0.0000080 0.0000301 1416. 0 1394. 9

-0.0000477

0. 0000143

0. 0000227 117$ . 5 1160 9

~

-0 0000400 0, 0000120

0. 0000120

0. 0000112 FORCES ON MEMEER AT NOPE 71 469.017 -149. 492 <<]09.297 3841.86 12051. 4 5240. 83 72 254.360 149.492 -408.930 6816.50 10119.5 1940.58 EL~ 52 NODES> 70 71 MAT~ 1 SFACTIa 1. 6428 SFACTJi 1. 6428 SlMX 1843.1 83MN= -1718. 0 SINTMX 1865.4 SEQVHXr 1854.7 ANGLE 0 .. 4$ 90 135 180 225 270 315 EMD I SAXL SRAD

-686. 64 0

622. 61 0..

1595. 5 0.

1662. 5 0.

783 '50. -525.30 0.

-1498.3 0 ~

-1565. 2 0, e SH 0. Oe 0. 0. 0. 0.. 0. 0.

SXH 36 182

~ 43 ~ 607 11.22S -41.990 -84 '71 92.297 -59%917 -6.6995 Sl 1.9013 625.65 1595.7 1663.5 793.03 1$ .745 2.3922 0.28676B-01 S3 688.54 -3.0394 0.79001E-01 -1.0599 -9.0830 -541.04 "1500.1 -1565.2 SINT 690.44,628.68 1595.8 1664.6 &02 ~ 11 556.79 1503 1 ~ 1565. 2 SEQV 689.49 62'7. 17 1595.8 1664.1 797 r 61 549 r 09' 1501.9 1565.2 EPELAXL -0.0000246 0.0000223 0.0000572 0 '000596 ~ 0000281 0000188 0.0000537 -0.0000561 EPBLRAD 0 ~ 0000074 -0. 0000067 -0 0000172

~ -0 0000179

~ -0,0000084 0.0000056 0.0000161 0.0000168 EPELH 0.0000074 -0 0000061

~

-0 0000172

~ "0 0000179

~ -0.0000084 0.0000056 0.0000161 0.0000168 EPELXH 0.0000034 0.0000041 0.0000010 "0.0000039 -0.0000079 0.000'0086 -0.0000056 -0 0000006

~

END J SAXL -648.55 ~ 703.03 1675.5 1699.1 760.15 -591.42 -1563.9 , -1587.5 SRAD 0~ 0. o. 0~ 0. 0. 0. 0 ~

SH 0. O. 0. , 0. pr 0. 0. O.

SXH 131.14 163 91 ~ 192 ~ 72 200 r 69 183.16 150.'39 121. 58 113. 61 Sl 25.514 739.31 1697.3 1722.5 801.98 36.043 9.3951 8.0886 S3 -674. 06 -36,338 -21. 882 23. 383 -41. 830'627. 47 1573.3 1545.6 SINT 699.57 77S.70 1719.2 1745.9 843.81 663. 51 1582.6 1603.7 SEQV 687. 17 '758. 19 1708. 4 1134. 3 823.69 646.24 1578.0 1599.7 EPELAXL 0.0000232 0.0000252 0.0000601 0.0000609 0.0000272 0.0000212 -0 0000561 -0.0000569

~

EPBLRAD 0.0000070 0.0000076 -0.0000180 -0.0000183 -0.0000082 0.0000064 0. 0000168 0. 0000171 EPELH 0. 0000070 -0. 0000076 0 0000180

~ "0. 0000183 -0.0000082 0.0000064 0. 0000168 O. 0000171

0. 0000122 0. 0000153 0. 0000180 0. 0000187 0. 0000171 0. 0000140 0.0000113 , 0.0000106 EPELXH S ON MEMBER AT NODB 70 71 408.930 469 017

~

-149 '92

-149. 492 254.360 109.297 595.158 3841.86 11510.6 12051. 4

'471.07 5240.83 48 NODES<< 67 70 MATTr 1 STR PIP SFACTI~ 1.0000 SFACTJ~ 1.0000 SIMX~ 1091. 6

~ S3MNs 994. 91~ SINTMX~ 1091.9 SEQVMXo 091r7 ANOLE' 4$ 90 135 180 225 270 315 END I SRAD SAXL -148.22 0.

273.67 0.

563.74 0.

552.08 0.

245.53 0-

-176.36 O.

-466.43 0.

-454.7s 0~

SH 0. 0. 0. 0. Or 0. O. 0~

SXH 36.182 43.607 11 228

~ -41.990 -84. 871 -92.297 -59.911 -6.6995 Si 8 3608 280 ~ 4S 563 96 555 26~ 272.01 39.470 7.5738 0.98670E-01 S3 -156.58 6.7807 -0.22353 <<3.1753 26~481 -215. 83 -474. 01 -454 ~ 88 SINT 16C.94 287.23 564.19 558 44~

298.49'86.

255.30 4S1 e 58 454. 91 SEQV 160.92 . 283,.90 554.08 556.SS 17 238.03 a'77.84 454.93

-0 r 0000167 -0. 0000163 EPELAXL 0.0000053 0.0000098 0.0000202 0.0000198 0.0000088 0.0000063 EPELRAD 0 0000016

~ -0 0000029

~ -Oe0000061 -0.0000059 ;0.0000026 0 0000019

~ 0.0000050 0.0000049 EPELH 0.0000016 -0.0000029 -Or0000061 -0 0000059

~ -0.0000026 0.0000019 0.0000050 0.0000049 EPBLXH 0.0000034 0 0000041 0 0000010 -0.0000039 0.0000079 0.0000006 -0.0000056 0.0000006 END J SAXL SRAD

-398 '30. ~

398,03 0.

~

990.32 0.

1031.0 0,

496.24 0.

-300.72 0

893 02 ~

0.

-933.70 0.

SM 0. 0. 0. 0. 0. 0. 0.

SXH 36.182 43.607 11.228 -41.990 -84.871 -92.297 -59.917 -6.6995 Sl 3.2550 . 402.15 990.45 1032.7 $ 10.35 4 0022

~ 0 48068E 01 26.068'326.79 83 -402.18 -4.7216 -pe12728 -1.7073 -14. 114 -897.02 "933.'74 SINT , 405.44 407.47 990.58 1034.4 524.46 352.86 901. 02 933. 79 SEQV 403.82

-0:0000143

'05.13 0.0000143 990.52 0.0000355 1033.6 0.0000370 517. 55 340.57 899.03

0. 0000178 -0.0000108 -0.0000320 -0.0000335 933.17 EPELAXL EPELRAD 0.0000043 -0.0000043 -0.0000106 0.0000111 -0.0000053 0.0000032 0.0000095 0.0000100 EPELH 0.0000043 "0.0000043 -0.0000105 -0.0000111 0.0000053 0.0000032 0.0000096 0 0000100

~

EPELXH 0 '000034 0 0000041

~ 0.0000010 -0 0000039 -0,0000079 -0.0000086 -0.0000056 -0.0000006

~

FORCES ON MENDER AT NODE 67 408 '30 -149 492 F 254.360 -595.158 6296.22 za06.49 70 408. 930 -149. 492 254.360 -595.158 11510. 6 5471. 07 BL~ 50 NODESe 66 67 MATe 1 SFACTI~ 1.6428 SFACTJe 1.6428 SIMX~ 954,71 S3TCT= -858. 74 SINTNXa 954.88 SEQVMX<< 954.80 ANGLE 0 4$ 90 '35 180 225 270 315 END I ScCXL 213.20 -379.86 717 '10. -602.45 -lpl. $ 9 0.

491.46 0.

829. 31 0

714.05 0.

SRAD 0. Oe ~ O. ~

SH O. 0 ~ 0. 0. 0. 0. 0. 0.

SXH 62.279 29.508 0.69906 -7.2723 10.264 43.035 71 844

~ 79. 815 Sl 230.06 2.2786 0.68090E-03 0.87774E-01 1 0265 ~ 495.20 835e49 722.86 S3 16.860 -382. 13 -717.71 -602.53 -102. 62 -3.7399 -6.1779 -8.8128 oon nn 7n1 1n no'p a> 101 . an aoa.oa Snl . 61 131. 68 Page ~~

CALC. NO. Q4-SS - /Coro Rev.

,8-11-1997 11:46AM FRPM MPR ASSPPIATES INC 783 519 8224 P. 45 EPELAXL 0,0000076 -0.0000136 -0 0000257 -Q.OQQQ216

~ p.OOOOO36 0.0000176 0.0000297 0 0000256

~

EPELRAD P.P000023 0.0000041 0.000PP77 Q.QPQP065 0,0000011 -0.0000053 Q,PPQPP89 -0.0000077 EPELH 0.0000023 0.0000041 0.0000077 0,0000065 0.0000011 0.0000053 P.QQQQQ89 0.0000077 EPBLXH 0.0000058 0.0000027 0.'0000001, -0.0000007 P . 0000010 0 0000040 0.0000067 0.0000074 372.08 -3Z1 00 ~ -797 53 ~ -778.39 -274.77 418.30 894. 84 87$ . 69 SRAD 0 ~ 0 0~ 0. 0. 0., 0. 0.

SH 0 ~ 0. 0. 0. 0. 0. 0. 0.

SXH -84. 871 -92 297 "$ 9. 917 -6. 6995 36.182 43 607 11. 228 -41 990 Sl 390. 52

'45.64

~

24 646

~ 4 4763

~

-802 01 0 576578-01 4.6846 422

-4 4976

~

'0 894 98

~

ro. 14086 877

~

-2. 0088

'0 53 18,445 F -778.44 -279.45 ~

SINT 408.97 370.29 806.49 778,50 284 14 ~ 427.30 895.12 879 71 ~

SEQV 400.06 358.60 80'6 778.47 281. 83 425,07 0.0000150

~ 89S,05 0.0000321 878.71 0 0000314

'EP LAXL 0.0000133 -0.000011$ -0.0000286 -PE OPOP279 -0.0000098 ~

EPELRAD -0 0000040

~ 0.0000035 0 0000086

~ 0.0000084 0.0000030 -0.000004S -0.0000096 -0.0000094 EPELH -P.OOOOO4O OS OOOO035 0.0000086 0.0000084 0.0000030 -0.0000045 0.0000096 0.0000094 EPELXH -0.0000079 -0.0000086 -0.0000056 -0.0000006 0.0000034 0.0000041 0.0000010 -0.0000039 FORCES ON MEMBER AT NODE 66 469 017

~ 149.492. 109.297 886.73S 575$ . 43 -1171.12 67 408.930 149.492 -2$ 4.360 595 158 ~ -6Z96.22 -2406.49 ELi SFACTIN 49 NODES-1 '428

'5 SFACTJ=

66 MAT> 1 1+6428 SXMXs 1072. 8 S3YN~ -.1008 ~ 1 SINTMX= 1077. 3 SEQVMX~ 1075. 1 45, 90 13S 180 225 270 315 ANGLE Ex' SAXL -70.570 0 .

i -771.58 '1002.90. -628.98 0.

131. 10 0.

832. 11 0.

1063.4 0.

689.$ 1 0.

SRAD 0. 0.

SH 0. >

0. 0. o. o. 0 0. o.

SXH 140 71 87.055 7.8295 -$ 0.558 -53 '05 -0 25097

~ 78.974 137.36 Sl 709.78 9.7001 0.61123E-01 4.0379 150.41 832.11 1069.2 715 87 F S3 -180.35 781 Z8 ~ -1002-9 -633.02 -19 318

~ -0.7$ 596E 04 "5.8330 25 '57 SINT 290.13 790. 98 1003 0 637,06 169.73 832.11 107$ .1 742.23 SEQV 253.73 796.18 1003.0

~

635.05 160. 95832.11 1072.2 0.0000381 729.40 0.0000247 EPELAXL -0 000002$ -0.0000277 -0.0000359 -0.0000225

~

0.0000047 0.0000298 EPBLRAD 0.0000008 . 0.0000083 0.0000108 0.0000068 "0.0000014 -0.0000089 -0.0000114 0.0000074 EPBLH 0.0000008 0.0000083 0.0000108 0.0000068 -0.0000014 -0.0000089 -0.0000114 -0.00000'74 EPELXH END J SAXL SRAD SH SXH Sx O.OOOOX3X 213. 20 62.279 230.06 0.

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S3 -16. 860 -382. 13 717. 71 -502. 53 S'INT 246-92 384.41 '17.71 602.62 103.64 498.94 497. 08 841. 67 838. 60 731 ~ 68 727 31 SEQV Z38.93 383.28 717.71 602.58 103. 14 ~

EPELAXL 0.0000076 0,0000136 -0.0000257 -0.0000216 -0. 0000036 0. 0000176 0.0000297 0.0000256

<<PELRAD -0.0000023 0.0000041 0.0000077 0.0000065 0.0000011 0.0000053 -0.0000089 -0.0000077 EPELH -0.0000023 0 0000041

~ 0.0000077 0 0000065

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-7687.34 750.270

'.'r CES ON MEMBER AT NODE 65 254.360 149.492 408.930 1061.06 66 469. 017 149. 492. 109.297 886.735 5755 '3 -1171.12 47 NODESi X24 65 MAT STR PIP SFACTIa 1.0000 SFACTJ-" 1'.0000 SXMX~ 1097.8 S3MN~ -1034.9 SINTHXa 1100.9 SEQVMX~ 1099.4 ANGLE 0 45 90 13$ 180 22S 270 315 END I SAXL -1012 ~ 6 -S$ 6.7S 242. 99 918 11 ~

0.

1073 2 ~

0.

617.28 0.

182.45 0.

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0.

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-53.90$

0.

-0.25097

0. ~

I8 974 0.

137 36 0.

140.71 0~

87.055 0.

SI 0. 60535E-01 4 '5538 254. 41 918. 11 1078.9 546.47 76 '66 8 7478 S3 -1012.7 561.31 -11.422 -0.58506E-04 -ST 7807 -29 '87 -2$ 8.93 -866.34 SINT 1012.7 565.86 265.83 918 11 1084.7 67$ 335.39 875.08 SEQV E?ELAXL 1012.7

-0.0000363 -0.0000200 563.60 260 '1 0.0000087 918.11 F

0.0000329 0.0000385

~ 8 561. 54

.65'081 304.45

0. 0000271 -O.OOOQO5$ -O.OCOO3O7 870.74 EPELRAD 0.0000109 0.0000060 -0.0000026 -0.0000099 0 0000115

~ -0.0000066 , 0.0000020 0.0000092 EPELH 0.0000109 0.0000060 -0 0000025 -0.0000099 -0.0000115 -0.0000056

~

0.0000020 0.0000092

-0.0000047 -0.0000050 0.0000000 0.0000074 0.0000128 0. 0000131 0 0000081 KPELXH 0.0000007

~,

~

END J SAXL -598 63 ~ -371.03 91. 642 518.36 6$ 9. 16 431. 56 -31.116 -4$ 7. 83 SRAD 0 0 0. 0 ~ 0. 0. 0~ 0.

SH 0. 0.. 0. 0 0. 0. 0. Q.

SXH , 7,8296 -50.5$ 8 -53.905 -0 '5097 78.974 137.36 140.71 87.0$ 5 Sl 0.10239 6.7658 116.57 518.36 668 49 e 471. 57 126.01 15.994 S3 -598.73 377. 80 -24. 927 -0.12151E-03 "9.3300 -40.012 -1$ 7.12 -473.83 SZNT 598. 84 384. $ 6 141. 50 518.36 677. 82 . $ 11. 58 283.13 489. 82 SEQV 598.78 381.22 130.83 S18.36 673.20 492.79 24$ .69 482.02

'EPELAXL 0. 0000215 -0. 0000133 0. 0000033 0. 0000186 0.0000236 0.0000155 -0 0000011 -0 0000164

~ ~

KPELRAD 0.0000064 0.0000040 ,-0.0000010 Os0000055 -0.0000071 -0.0000046 0 0000003

~ 0.0000049 EPELH 0.0000064 0.0000040 0.0000010 0 0000056 0.0000071 -0.0000046 0 0000003

~ 0.0000049 EPELXH 0 0000007

~ "0.0000047 0.00000)0 0 0000000

~ 0.0000074 0.0000128 0. 0000131 0. 0000081 FORCES ON MICRR AT NODE 124 254.360 408.930 149. 492 1061. 06 2600.23 12747.9 65 254.360 408.930 -149. 492 . 1061 e 06 7$ 0.270 7687.34 ELs 93 NODES~ 124 1 MAIs 1 SFACTI>> 1. 2460 SFACTJ~ 1.2460 XMX~ 160$ .7 S3MN~ -1543.8 SINTMX~ 1607.7 SEQVMX 1606e7 ANGLE 0 45 90 13S 180 225 270 31$

I SRAD SAXL 1269.2 0.

-1076.0 0.

-234.79 0.

761. 69 0.

1329.7 0 ~

1136. 5

.OI 29$ .32 0.

-701.16 0.

n n n n n Page ~~

CALC. NO. ~ i4- ~.3- ~~~@ ~o Rev.

l g-11-1997 11:47AM FROM MPR A99POygyg9 INC 783 519 8224 P. 46 S3 -1269.2 -1083.0 -300.64 24 4.6741 0.554ZIE"04 -9.5318 -704.79 SINT 1269.3 1090.0 '66.5Q 809 71 1339 1 1136 5 1136.5.

314.38 708.41

'1 SKQV 1269.2 1086.5 338.41 797 98 1336 7 ~ 309.72 706 EPELAXL -0.0000455 0.0000386 -0.0000084 0.0000273 0.000047'7 0 '000407 0 0000106

~ -0. 0000251 EPSLRAD 0. 0000136 0. 0000116 0. 0000025 -0. 000008Z -0,0000143 -0.0000122 -0 0000032 ~ 0.0000075 EPBLH 0. 000013 6 0 0000116

~ 0. 0000025 -0. 0000082 0 0000143

~ 0 0000122

~ -0 0000032

~ 0.0000075 p ppPP007 0.0000081 0.0000131 0 0000128

~ 0.0000074 0.0000000 -0.0000050 0.0000047 15p3.6 -1302nd -320 50 F 866.87 1564 2 F 1352.9 381.03 -806.35

0. 0 ~ 0. 0. 0. 0: 0. 0.

0. 0. 0. 0. 0. 0. 0. 0.

7 8296 87.055 140 '71~ 137.36 78.974 -0 '5097 -53.905 -50.558, Sl p 40768E-pl 5.7931 53.008 888.12 1568.2 1362.9 388.51 3.1576

]5Q3.7 1308 ' -373 51 -21.245 -3.9773 O.d6215E 04 7.4792 -809e50 53

'6 F

SINT ~ 7 1314 ' 426.52 909 '5Q3 1572.1 1362,9 395.99 812.66 SEQV 1503,7 1311.1 402.64 898.93 1570.1 1362 ' 392.30 811 09 ~

BPBLAXL O.pppp539 Q,pp00467 -0 ~ 0000115 0.0000311 0.0000561 0.0000489 0.0000137 -0.0000289 EPELPAD p,ppp0162 0.0000140 0.0000034 -0.0000093 -0 0000168 -0. 0000147 -0.0000041

~

0.0000087 BPBLH 0.0000162 0.0000140 0.0000034 -0.0000093 0. 0000168 -0. 0000147 -0.0000041 0.0000087 EPELXH O.OOOO007 0.0000081 0.0000131 O.OOOOI28 0.0000074 0.0000000 -0.0000050 0.0000047 FORCES ON MBMSER AT NODE 124 254.360 -408.930 149.492 1061.06 -2600.23 12747.9 I 254.360 -408.930 -149. 492 1061. 06 -344 12j. i,5048. 1 She SFACTI~

S IMXa END 94 NODES'25 ANGLE I SRAD 1.2460 937. 09 SAXL -242.33 SH 0

0.

'5SFACTJs SSMNa

~

321. 66 I

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961 35 135 743.88

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180 354.79 0~

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94 9.45 225 209.20 0.

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270 617.70 0

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315 631.42 0.

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TEE BRC SXH ZO4.43 2 11. BO . 179.42 126.25 83.442 76. 072 108.46 161.62 Sl 116.48 426.77 771.87 764,73 373.43 24.737 18 '89 38e965 S3 -358. 80 -105.11 -41.704 20. 842 -lga645 -233.94 -636. 19 670.39 SINT SEQV 475.

429.06 28, 531. 89 487 '0 813 57 793.54

~ 785. 57 775.36 392 08 383.10 F 258.67 247.23 654.68 645.63 709.35 690.70 EPBLAXL -0.0000087 0.0000115 0.0000262 0.0000267 0.0000127 0.0000075 -0.0000221 -0 '000226 ZPZLRAD 0.0000026 -O.O000035 -0.0000079 0.0000080 -0.0000038 0.0000022 0.0000066 0.0000068 BPELH 0 0000026

~ 0.0000035 -0.0000079 -0.0000080 -0.0000038 0.0000022 0.0000065 0.0000068 EPELXH 0. 0000191 0. 0000197 0 0000167

~ 0. 0000118 0.0000078 Oe0000071 0.0000101 0. 0000151 EÃD J SAXL -303.12 351.97 833e82 860.17 415. 58 239. 51 721. 36 -747.71 SRAD 0. - ~

0~ 0 ~ 0. 0 0 ~ 0. 0.

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SXH 204. 43, 211. 80 179,42 126. 25 83.442 76.072 108. 46 161. 62 Sl 102. 92 451. 35 870.78

-36.967 878. 32

-18.147 431

-16.128

'1 22.119 261.62

15. 953

-.737.31

33. 441

-781.15 S3 -406.05 -99.388 SINE 508. 97 550.74 907.75 896.46 447.84 283.74 753.26 814.59 SEQv 466.11 508.39 889.84 887.53 440;00 273.36 745 41 ~ 798 39 ~

ELAXL ~0.0000109 0.0000126 0.0000299 0.0000308 0 0000149 o -0.0000086 -0.0000259 0.0000268 PBLRAD 0.0000033 -0.0000038 -0 0000090 -0.0000092 -0.0000045 ~ Oa0000026 0.0000078 0.0000080 EPELH 0.0000033 -0.0000038 -0 0000090 -0.0000092 -0.0000045

~ 0 0000026

~ 0.0000078 0 0000080

~

BPELXH 0. 0000191 0. 0000197 0. 0000167 0. 0000118 0.0000078 0. 0000071 0.0000101 0. 0000151 FORCES ON MEMBER AT NODE 125 472 e616 -149.105 254.223 3518. BS 6611.44 2928.93 I 472. 616 -149. 105 254.223 3518.83 7628.34 3525.35 BL> 92 NODES~ 123 1 MAT= I TBE BRC SFACTla 1.2460 SFACTJa 1.2460 SIMX~ 804.54 SSMN> <<789.39 SINTMXi 804.56 SEQVMX~ 804. 55 ANGLE 0 45 90 135 180 225 270 315 BjlD I SAXL 258.55 -349.82 0

748 83 0.

70de74 0.

-243.40 0.

364.97 .

0.

763.98 0.

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3.2110 3. 1364 3.0863 3.0902 3.1457 3.2204 3.2704 3.2665 SxM Sl 258.59 0.28118E"01 0.12720B-OI 0.135SQE-OI 0.40650'E-pl 365.00

-243. 44 763 '9 719.91

-0.28dj4E-OI "0. 14000E-OI 0. 14822E-01 0.39872E-OI -349.84 -748.84 704.76 BINT

$3 258 '3 349 '7 748 85 F 704.77 243.48 365.03 764.01 764.00 719 719. 92

'3 SEQV 25S F 61 349.86 748.84 704.77 243 46 ~ 365.01 EPELAXL 0.0000093 -0.00001Z5 -0.0000268 -0.0000253 0.0000087 0.0000131 0.0000274 0.0000258 EPELRAD -0.0000028 0.0000038 0.0000081 0.0000076 0.0000026 -0.0000039 0 0000082

~ -0.0000077 EPELH <<0.0000028 0.0000038 0.0000081 0.0000076 0.0000026 -0.0000039 -0.0000082 -0 0000077 ~

EPELXH, 0.0000003 0.0000003 0.0000003 0.0000003 0.0000003 0.0000003 0.0000003 0.0000003 MD J SAXL 258.77 ~ -349.60 -748.75 704.85 0.

-243 '2 364.76 763.90 0.

720 00 F 0.

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3.2110 3.0863 3.0902 3.1457 3.2204 3.2704 3.2665 SXH

~

3 1364

~

Sl 258 81, 0 28135E<<01 0.12722E-OI 0. 13 548E-OI 0. 40613E-OI 364. 79 763 '2 720 01-'0.14819E-OI

'2 S3 -0.39838E 01 349.6S -748.76 -704.86 243 66 ~ -0.28430E-01-0.14001E SINI'58. 85 349. 66 349.65 748.77 748.77 704.87 704.87 243.70 243.68 364 81 364e80 F 763 93 763.92 720.03 720.02 SBQV 258.83 EPELAXL 0.0000093 -0.0000125 <<0.0000268 -Oo0000253 -0 0000087

~ 0.0000131 0 0000274 0 0000258 BPELRAD 0 ~ 0000028 0 ~ 0000038 0 0000081 0.0000076 0.0000026 -0.0000039 0.0000082 0.0000077 EPELH -0.0000028 0.0000038 0.0000081 0.0000076 0.0000026 .~0.0000039 -0.0000082 -0.0000077 EPELXH 0.0000003 0.0000003 0.0000003 0.0000003 0.0000003 0.0000003 0.0000003 0.0000003 FORCES ON MEMBBR.AT NODE 123 63.6861 0 386824 0.137122 77.7023 -7420.52 -2462.11 I 77 '023 -2464.29

'5

63. 6861 0 386824 0.137122 7419e74 91 MODESTY 125 122 MATa I STR FIP Ia 1.0000 SFACTJa 1.0000 681. 64 SSMN~ -567.91 SINTMX~ 715. 48 SBQVMX~ 699. 18 225 270 315 ANGLE T CLYDE, 1RC 0

$ ta 608.22 597.11 90 135 269.26 -183.38 18,0 495.66 -484.64 "156 '9 Page~~+

CALC. NO. ~l~-~Z-ao~o Rev.

8-11-1997 11:47AM FRCN MPR ASSPC1ATES INC 783 819 8224 P. 47 SH O. Oe 0. O. 0. 0. o. O.

SXH 8 3.442 17.75 226.25 633.29 179 42 646.87

~ 211. 80 204 132.36

'3 161. 62 48.04$

108.46

23. 163 76.072 30.841 Sl 385.59 S3 2 2.922 -25.268 6$ 8.46 49.763 696.63

-116.34 -325.74 543.70

$ 91.75

-507.81 530.97

-187 228.48

'4 SINT 3 39.67 501.93 448 F 10 SZQV 3 29.26 646.24 673.13 4$ $ .06 398.75 569i25 $ 19.78 204. 81 EPELAXL 0 ~ 0000106 0 ~ 0000218 0.0000214 0.0000057 0.0000066 -0. 0000178 0. 0000174 -0.0000056 PELRAD 0.0000032 -0.0000065 -0 '000064 -0.0000029 0.0000020 0.0000053 0 0000052

~ 0.0000017 EPELH 0.0000032 0.0000065 -0.0000064 -0.0000029 0.0000020 0.0000053 0.0000052 O. 0000017 SPELXH 0 0000078

~ 0 ~ 0000118 0.0000267 0.0000197 0.0000192 O. 0000151 0.0000101 0.0000071 J SAXL 2 95. 84 608 ~ 12 597.10 269.26 -183. 38 495.66 "484.64 -156.79 SHAD 0. 0. 0. o. Oo 0. 0. 0.

SH 0. O. 0. 0 ~ 0. 0. 0. 0.

SXH 8 3.442 126.25 179. 42 211. 80 204.43 161.62 108. 46 76.072 Sl 3 17.75 633.28 646.87 385.59 132.36 48 '45 23.164 30.841 S3 -2 1 912

~ -25 168 ~ -49.763 -115 34 ~ -315.74 543 7.0~ -$ 07.81 187.64 S INT 3 39.67 6$ 8.45 696 63 501 93 448.10 591.74 530. 97 228. 48 SEQV 3 29.26 646 '4 0.0000218 673. 13

~

0.0000214 455. 06

~

0.0000097 398.75

-o.ooooo66 569.2$ $ 19.78

-0.0000278 "0.0000174 "0>0000056 204.80 EPELAXL 0.0000106 EPELRAD 0.0000032 . "0 '000065 0.0000064 -0.0000029 0.0000020 0.0000053 0.0000052 0.0000017 EPELH OI0000032 0.0000065 -0.0000064 "0.0000029 0.0000020 0.0000053 0.0000052 0 '000017 EPELXH 0.0000078 0.0000118 0. 0000167 0. 0000197 0. 0000191 0.0000151 0. 0000101 0. 0000071 FORCES ON NEHBER AT NODE 125 47 2.616 -149.105 -254.223 3518.83 6611 44 2928.43 122 4'7 2. 626 149. 105 -254.223 3518 '3 ~

~

6621. 42 -2928.91 ELc SFACTZ~

S2NX4 END I SINT SEQV 1

ANGLE SH SXH Sl S3 NODES'23 1.0000 647.20 SAXL -193 ~ 85 SRAD 3.1457

-193.90 193.95 193.92 0

0~

0~ '.

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-564.11 5 HAT~ 1 45

3. 0902

-564.13 564o24

$ 64.14 O.

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0. 51036E-01 0. 169288-01 0,15889E 01 0.35221E-01

-599

$ 99.52 599 90

'0

'1 0.

0.

647.22 13$

-279.25 3.1364

-279.29 279.33 279.31 0.

0.

SEQVHXa 180 209.00 3.2110 209.05 209.10, 209.07 0.

0.

647.21 225 .

579.26 3.266$

579.28 579.30

$ 79.29 0.

0~

~

270 614.64 3.2704 614. 66 0.49322E-01-0.18420E 01 0.17401E-01-0.3$ 222E-02 614.68 614. 67 0.

0.

315

'294. 41 3.2?04 294.44 294.48 294.46 Oe o.

STR PZP EPELAXL -0.0000069 -0.0000202 -0.0000215 -0 0000100 ~ 0.0000075 0.0000208 0.0000220 O. 0000106 EPEIRAD 0.0000021 0.0000061 0.0000064 0.0000030 -0 '000022 -0..0000062 0.0000066 -0.0000032 EPELH 0.0000021 0.'0000061, 0.0000064 0 '000030 -0.0000022 Oa0000062 -0.0000066 0.0000032 EPEIXH 0.0000003 0.0000003 0 '000003 0 0000003

~ 0+0000003 a 0 0000003 0.0000003 0.0000003 END J SAXL -193.83 "564 10 ~ -599.49 -279.27 208.98 579.26 614. 65 294.43 SRAD 0. 0. 0. O. 0. 0. 0. 0.

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SXH 3.1457 . 3. 0902 3.0863 3.1364 3.2110 3.2665 3.2704 3.2204 SI 0 51041K 01 0.16928E-01 0.

~ 25889E-ol 0.35218E-01 209.03 579 27 F 614. 67 294.46 S3 193.88 -564.22 -599.51 -279.31 -0 '9326E-01-0.18420E-O1-0.17402E-01-0.3$ 220E-O2 SINT 193.93 564.13 599.53 279.34 209.08 579 29 ~ 614.68 294.50 SEQV 193.90 S64.13 599.52 279.33 209 05 F 579.28 614.68 294.48 EPELAXL -0.0000069 -O.OOP0202 -0. 0000215 0.0000100 0.0000075 0.0000208 ~

0.0000220 0.0000106 EPELRAD 0.0000021 0.0000061 0.0000064 0.0000030 0.0000022 -0.0000062 0.0000065 -0.0000032 EPELH 0.0000021 0.0000061 0.0000064 0.0000030 0.0000022 0.0000062 -0.0000066 -0.0000032 EPELXH 0.0000003 0.0000003 0.0000003 0.0000003 0.0000003 0.0000003 0.0000003 0.0000003 FORCES ON HEHBER AT NODS 123 63 .6861 0 .386824 . -0.137122

-0.137122 77.7023 77;7023

-7420

-7420.60

'2 2462.11 2461. 87 5 63 .6861 0 .386824 ELi 3 NODESN 5 6 HAT~ 1 SFACTI~ 1.6428 , SPACTJ= 1.6428 .

SIHX~ 1058.3 S3NNi "1043,2 SZNTHXo 1058 ' SEQVKXa 10 58.3 ANGLE 0 45 90 135 180 '22S 270 315 END Z SAXL -463.66 338.44 946.73 1004.9 478.82 323.29 -931.$ 8 -989.72 SRAD 0. o. 0. 0. 0. 0. 0. 0 ~

SK 0. 0. ~ 0. 0. 0. 0. 0. O.

SXH 3.1364 3.2110 3.2665 3.2704 3.2204 3.1457 3.0902 3.0863 Sl 0.21214E"01 .338.47 946.75 1004e9 478.84 0.30607E-O1 0. 10251K 01 O. 96242E-02 S3 -463. 68 '0.30462E-01-0.11270E-01 -0.10644E Ol 0 21658E"01 -323.32 ~ 931.59 -989.73 SZIIT 463.71 338.$ 0 946.76 1004.9 478.86 323.35 931. 60 989.74 SEQV 463.70 338.49 946.75 1004.9 478.8S 323.34 931,59 989.74

-0.0000166,0.0000121 0.0000339 0.0000360 0.0000172 -0.0000116 -0.0000334 -0.0000355

'e EPELAXI EPEIRAD 0.0000050 -0.0000036 0.0000102 -0.0000108 -0.0000051 0.0000035 0. 0000100 0.0000106 EPPLH 0.0000050 0.0000036 -0.0000102 -0.0000108 0. 0000051 0.0000035 0.0000100 0 0000106

~

EPELXH 0 '000003 0.0000003 0 '000003 0.0000003 0.0000003 0.0000003 0.0000003 0.0000003 RQ J SAXL -320.81 422.74 921.79 883.99 33'9 422.06 -911 10 873.30

0. "

~

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SXH 92.959 96.269 203 79 ~ 111 37 ~ 224 45 ~ 211. 24 203.62 46.044 Sl 24.990 443.59 ,933.33 897.80 367.17 28.113 11.635 . 10 ~ 438 S3 -34$ .80 -20.849 -11.542 -13 814 -35 675 -440 17 -922.74 883.74 4.38'39.15'7

~ ~ ~

SZNT 370.79 464.44 944 912. 6'2 402.84 468.28 934.37 894.28 SEQV 358.94

-0.

4$

0. 0000152 0 0000330 904 '9 0.0000317 386.24 0.0000119 454.88

-0.0000148 928 Gl ~

-0.0000327 889.01 0.0000313 EPELAXL 0000115 ~

ZPELRAD O.OOOOO34 -0.0000045 -0.0000099 "01000009$ -0.0000036 0.0000044 0:0000098 0.0000094 R'PRLH 0.0000034" -0 '000045 -0.0000099 0.0000095 -0.0000036 o.ooooon4 0 '000098 O.OOOOO94 E'PELXH 0.0000087 0 '000090 0.0000097 0.0000104 0.0000107 O. 0000104 0.0000097 0.0000090 CES ON HEKBER AT NODE $ 63.6861 -0 +370486 -0.176566 77.7023 6987.96 3506.3$

6 44o9080 -0 .370486 -45. 1577 2535.29 6818.96 2426.78 I 4 NODESa 6 7 HAT> 1 Page ~~

,0 8-11-1997 11:48AM FROM MPR A9SppyATES INC 793 519 8224 P. 48 ANGLE 0 45 90 135 180 225 270 315 END I SAXL -320. 81 422.74 0.

921.79 O.

883.99 331.49 -412. 06 0.

911.10 0.

"873 30~

0.

SRAD 0~ 0. 0 ~

SH 0. .Oo 0 ~ 0. 0 ~ 0. 0. 0 ~

SXH 92.959 96.169 103 79 111. 37 114.45 111. 24 103.62 96.044 Sl 24.990 443.59

-20. 849 933

-11. 542

'3 891.80 367. 17 28. 113

-440 '7 11 '35

-922.74 10,438

-883.74

-345.80 -13 814 35.675 S3 SINE 370.79 464 '4

'8 944I87

~

911 ~ 62 40i.sd 468.28 454.88 934 37 928. 61 894 18 889. 01 SEQV 358.94 454 939.15 904.79 386.24 ~

PELAXL -O.OOOO))S ., 0.0000152 0 ~ 0000330 0.0000317 0.0000119 -0.0000148 -0.0000327 0.0000313 EPEI PSLD 0.0000034 -0.0000045 -0.0000099 -0.0000095 -0.0000036 0.0000044 0.0000098 0+0000094 EPEIH 0.0000034 0.0000045 0 '000099 0.0000095 -Oe0000036 0.0000044 0.0000098 0.0000094 EPELXH 0.0000087 0.0000090 0.0000097 0. 0000104 0. 0000107 0.0000104 0.0000097 0.0000090 END J SAXL 9 .9738 616. 51 861. 89 602.37 10. 016 -616.55 -861.93 -602 42 F SRAD 0. 0. 0. 0. 0. 0. 0. O.

0. 0 0. 0. 0. 0. 0. 0 SH SXH 1 28 ~ 41 )32. 91

~

143. 65 154 +34 158. 72 1$ 4.22 143.47 132 '8 ~

S1 ) 33.49 " 643.94 885.20 639.62 153 +79 36.422-

-652.91 23.255 27.969

-630.39 S3 SZNT SEQV EPELAXL

-1 23.52 2 57.01 2 22. 63 0 000000'4

-27.432 671. 37 658. 09 0.0000221

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~

23.311 908. 51

~ 08

.0.0000309

-37.242 676.86 659.03

-163. 80 317.59 275,09 "

689.39 611. 92

-885.19 908.44 891. 04

0. 0000216 -0.0000004 -0. 0000221 -0.0000309 -0.0000216 658.36 644. 83 EPELRAD 0.0000001 -0.0000066 -0.0000093 -0.0000065 0. 0000001 0.0000055 0.0000093 0.0000065 EPEI H 0. 0000001 -0.0000066 0.0000093 -0 '000065 0.0000001 0.0000056 0:0000093 0.0000065 EPELXH 0. 0000120 0. 0000124 0. 0000134 0. 0000144 0. 0000148 0 0000144 Oa 0000 )34 0. 0000124 FORCES ON MEMEER AT NODE

~

6 44.9080 0 .370486

-0 370486 45.1577

-63. 6861 2535.29 3509.69 6818 6413.20

'6 2426.78 74.3680 7 "Oa)76566 ~

EL4 2 NODESe . 7 10 MAT~ 1 SFACTI> 1 0000 SFACTJ4 1.0000 S)NX4 F

561.39 S3$ 4a 561.47 SINTER 598.22 SEQVHX4 58 0.7 j 3)S ANGLE 0 45 90 135 180 225 210 END I SAXL 524 68~ -366.71 O.

6,0630 0.

315.21 0.

524 64

~

0.

366.67 0..

-6. 1050 0.

"375 31 ~

0.

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SH 0. 0 ~ ~ 0. 0 ~ 0. 0. 0. 0.

SXH 143.41 132 78 ~ 128.41 132.91 143.65 154.34 158.72 154.22 Sl 36. 670 43 031

~ 131. 41 417. 57 561. 39 422.98 155.69 55 '37 S3 -561.3S -409.74 125.41 -42.303 -36.757 -56.316 -161. 80 -430 SS ~

szNT 598.02 452.77 256.89 459.88 598.15 479.30 317 49F 485.79 SEQV 580.55 432.86 222.49 440.25 -580.65 ,453. 7'7 274.97 460.66 EPELAXL -0.000018S -0.0000131 0.0000002 0.0000135 0.0000188 0. 0000131 -0.0000002 -0.0000135 EPELRAD 0.0000055 0.0000039 -0.0000001 -0.0000040 -0.0000056 -0.0000039 , 0.0000001 0.0000040 0'.

EPELH 0.0000056 0 '000039 -Ooooooooj -0.0000040 -0 '000056 0.0000039 0.0000001 0.0000040 EPELXH 0.0000134 0 0000124

~ 0.0000120 0 0000124

~ 0.0000134 0.0000144 0. 0000148 0. 0000144 J SAXL -326. 85 -227 63 ~ 4. 9121 234. 51 326. 81 227.59 4. 9541 234. 61 SRAD 0, 0. 0. 0. 0. 0. 0. 0.

SH 0. 0,~ 0. 0 ~ Oe 0.

SXH

~ 143.41 132.78 128.41 132.91 143 65

~ 154.34 158.72 154.22 Sl 54.043 61.071 130.89 294.54 380 91 305.55 156.26 76.455 S3 -380.89 434.94

'288.7) 349.78

-125.97 256.86

-59.973 354.52 "54.155

~

435.14

-17.950 383. 51

-161. 21 317.47 311. 07 387.52 BINT SEQV 410 $ 9

~ 323 59 ~ 222 ~ 46 328 66~ 410 76

~ 351.09 274;95 355.$ 1 EPELAXL 0. 0000117 -0. 0000082 0. 0000002 0. 0000084 0. 0000117 0.0000082 0.000000? 0.0000084 EPELRAD 0.0000035 0.0000024 0.000000) 0.0000025 -0.0000035 -0.0000024 0.0000001 0.0000025 EPELH 0.0000035 0 '000024 -0 0000001 -0 '000025 -0 '000035 -0.0000024

~ 0.0000001 0.0000025 EPELXH 0.0000134 0.0000124 0.0000120 0.0000124'.0000134 0. 0000144 0.0000148 0 '000144 FORCES ON MEMBER AT NODE 7 -0.176566 63.6861 -0.370486 3509.69 74.3680 6413.20 10 -0.176566. 53.6861 0.370486 3509 '9 60.3004 3995.00 EI4 6 NODES> 10 11 MAT4 1 SFACTI~ 1.0000 "SFACTJs 1.0000 S)MXe 380.97 $ 3MN< "381.08 SZNTHX> 435.26 SEQVMX= 410. 86 ANGLE 0 45 90 135 180 225 270 315 KAID I SAXL 326.81 227,59 -4.9S41 -234. 61 326.85 227e63 0.

4 '121 0.

234.57 0.

SRAD 0. 0. Oe 0. Oe SH O. 0 0. 0. 0'. 0. Oa 0

'5

~

SXH 143 154.34 158 72 ~ 154. 22 143.47 132,18 128. 41 132. 91 Sl 380.97 305.55 156.26 76.455 54. 043 61. 071 130. 89 a94.54 S3 -54. 165 -77. 960 -161. 21 -311. 07 -380.89 -288.71 -125 97 ~ -59.973 SINT 435 ~ 14 383.51 317.47 387.52 434.94 349.'18 256.86 354.52 SEQV

~

410.74 351 09 ~ 274.95 355.51 410. 59

-0.0000117 323. 59

-0.0000082 222.46 o.ooooooa 328 '6 0.0000084 EPELAXL 0 ~ 0000117 0 ~ 0000082 0 ~ 0000002 0.0000084 EPELRAD "0 '000035 -0.0000024 0.0000001 o.oooooas 0.0000035 0.0000024 -0.0000001 -0.0000025 EPELH -0.0000035 0.0000024 Oa000000) Oroooooas Oo0000035 0.0000024 -0.0000001 0.0000025 EPELXH 0.0000134 0.0000144 0.0000148 0. 0000144 0. 0000134 0. 0000124 0. 0000120 0. 0000124 END J SAXL 352.01 245.69 -4.554'1 252.13 352.01 245.69 4.5496 252.13 SRAD 0. 0. 0. 0. 0. 0. 0 ~ 0.

SH 0. ~ Oo 0 ~ 0. 0. 0. 0. 0.

SXH 76.14S '6.83'2 91.202 86.694 75+950 65 '62 50.893 65.400 Sj 367.77 273.28 88.953 26.932 15.688 16.259 63 210

~ 268.08 S3 15.765 -27.590 -93.'507 -219.06 -367.70 -261.95 -58.660 15.955 SINT 383.54 300.87 182.46 306 00 383.39 278.21 121 81 284.04 SEQV 375.91 288.07 158.03 293.46 F

. 375.79 270."45

-0.0000088

~

105. 57 0.0000002 276 '0 0.0000090 EPELAXL 0.0000126 0 0000088

~ -0.0000002 -0.0000090 -0.0000126 PELRAD -0.0000038 -0.0000026 0.0000000 0.0000027 0.0000038 0.0000026 0.0000000 -0.0000021 EPELH -0.0000038 -0.0000025 0.0000000 0.0000027 0.0000038 0.0000026 0.0000000 -0.0000027 EPELXH 0. 0000071 0. 0000081 0. 0000085 0. 0000081 0. 0000071 0. 0000061 0.000005'1 0.0000061 swee ar 1 w~v ~ s~ awned 1h h 11CCCC a'0 coal h 4ehAOC '74h4 C4 cn 4nn >444 hn Page ~ <

Rev. D

,8-11-1997 11:49AM FRCN h<PR pSSpp(ATES INC 783 519 8224. P. 49 ELs 7 NODES'1SFACTJ~ 12 MATa SFACTZa 1.0000 SINXe 367. 77 83MN~ -367. 81 383 57 SEQVMX+ 37 5.94 0 45 90 180 225 270 315 END I ANCLB SAXL 352.01 24S.69 0.

-4.5547 252.13 135 352.01 "245.69 0.

4.5496 0.

252 '30.

SRAD 0. 0. 0. 0.

0. 0. 0. 0. 0 ~ 0. 0. 0 ~

SXH 76.145 . 85. 832 273.28 91.202 86 '94 15.950 6$ .262 16.259 60.893 65.400 268.08 Sl 367.77 88,9$ 3 26.932 15. 688 63.210 .

S3 -15.765 383.S4

-27 '90

'00.87

-93.5P7 182.46

-279 306.00

'6 -367.70 383.39

-261. 95 278.21

-58. 560 121. 87

-15. 955 284 04 SINT ~

SEQV 375.91 288 07 F 158.03 293.46 375>>79 210. 4$ 105.57 275.40 EPELAXL 0,0000126 0.0000088 -P.0000002 -0.0000090 0. 0000126 <<0.0000088 0 0000002

~ 0.0000090 EPEZRAD 0.0000038 -0.0000026 0.000000p 0.0000027 0.0000038 0.0000026 0.0000000 -0.0000027 EPSLB 0.0000038 0.0000026 0 0000000

~ 0.0000027 0>>0000038 0.0000026 0 0000000

~ "0.0000027 EPELXH O.OOO0071 0.0000081 O.OOOOO85 0.0000081 O.OOOO071 0.0000061 0.0000057 0.0000061 END J SAXL 323.62 225>>90 -4>>1459 -231.75 -323.59 225.86 4.1796 231 ~ 78 SRAD 0. 0. p 0>> 0. 0. 0. 0.

0. 0. 0. 0. 0.

SH SXH 8.9448 0.

19.634 227.59 0.

'4.007 22.023 19.503

l. 6299 0.

8.7607

0. 23701

-1.9281

0. 16459E-01 8.7289

-6. 3011 -1. 7980 231.80 Sl 323.87, S3 -0.24704 1.6937 -26.170 -233.38 323.83 -225 225.90

'8 "4 5494

~

13. 278

-0. 1394 6E-OI 231. 81 SINE 324. 12 229. 28 48 193 ~ 235.01 324.06 SEQV 323.99 228.44 41.788 234.20 323.95 225.89 11'688 231.81 EPELAXL 0.0000116 0 0000081

~

-0 0000001

~ -0.0000083 -0 0000116 ~ -0.0000081 0.0000001 0.0000083 EPEIRAD -0.0000035 '0.0000024 0>>0000000 0 0000025

~ 0.0000035 0.0000024 0.0000000 -0.0000025 EPELH -0.0000035 -0.0000024 0.0000000 0.0000025 0.0000035 0.0000024 -0 0000025

~ '.0000000 BPEIXH 0.0000008 0.0000018 0>>0000022 0.0000018 0.0000008 0.0000002 "0.0000006 -0.0000002 FORCES ON MEMEER AT NODE ll -0 213469E-ol,

~

12 0.137122

63. 6861 63.6861 0.409853 0.386824 1859.14 216.425

-$ 5 6438

~

<<50.8898

-4302.85

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-323.83

~ ~

-225. 88 -4 5494 -0.13946E-01-0.24704

~

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'24.06 323.95

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11. 688 231.81 231.81 324 12 323. 99

~ 229.28 228 44 ~

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~ 0.0000116 0. 0000081 -0. 0000001 0. 0000083 PELRAD 0.0000035 0.0000024 0 0000000

~ -0.0000025 0.000003S -0.0000024 0.0000000 0.0000025 EPELH 0.0000035 0.0000024 0.0000000 -0;0000025 -0.000003S -0.0000024 0.0000000 0.0000025 PXLXN O.OOOOOO8 -O.OOOOOO2 -O.OOOO006 -O.OOOOOO2 O.OOOOOO8 0.0000018 0.0000022 0.0000018 J SAXL -86.147 -58'.986 2.7373 62.867 86.180 $ 9.019 -2.7047 -62.834 SRAD 0. 0 ~ 0. 0. 0 ~ 0. 0~ 0.

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~ 8. 9448 19.634 24 19.503 Sl 0 88189~ 0. 62959E"Ol 7 8173 ~ 62 918 ~ 81 098~ 64.954 . 22.693 5.5615 S3 -87.029 -$ 9.049 -5.0799 -0.51378E 01 0.91861 -5.9347 -25.398 -68.396

81. 911 59. 112 12. 897 62. 970 88. 017 70.888 48.091 13.958 SZNT SEQV EPELAXL

87. 473

-0.0000031

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~

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~

EPEIxN 0.0000008 -0.0000002 -0,0000005 -0.0000002 0.0000008 0.0000018 0>>0000022 0.0000018 FORCES ON MEMBER AT NODE 12 0.137122 63.6861 -0>>386824 216.425 50.8898 3955>>63 8 0 137122

~ 63 6861

~ 0. 386824 216.425 33. 2608 10S3 23~

ELm 8 NODES 8 13 PORC~ 9.3460 STRETCH< 0.054976 RATE~ 170 000 F EL~ 9 NODES"- 8 14 MAT> 1 STR PIP SFACTIs 1 F 0000 SFACTJa 1.0000 S1HXa>> 87.098 S3MN~ -87 155 F SZNTHX~ 88.119 SEQVHX 87 . 641 ANOLE 0 45 90 135 180 225 270 315 I -86.147 -5'86 2.7373 62.867 86.180 59. 019 -2.1047 -62.834 END SRAD'.0.

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~ 62. 868 87.098 64.107 20.473 4.7568 S3 -87. 029 -58. 988 -2. 9326 -0. 80813K-03-0. 91861 -S.O884 -23>>178 -61.591 SI?K 81. 911 58. 991 8. 6026 62. 869 88. 017 69.196 43.650 72.348 SEQV 87. 473 58. 990 7 5148

~ 62. 868 87 561~ 66.797 31. 827 70.091 EPELAXL "0. 0000031 -0. 0000021 0. 0000001 0. 0000023 0. 0000031 0.0000021 -0.0000001 -0.0000023 EPELRAD 0.0000009 0.0000006 0 0000000

~ -0.0000007 -0.0000005 -0.0000006 0.0000000 0.0000007 EPELH 0 0000009

~ 0.0000006 0.0000000 -0.0000007 -0.0000009 -0.0000006 0.0000000 0.0000007 EPELXH 0.0000008 0.0000000 "0.0000004 0>>0000000 0.0000008 ~ 0>> 0000017 0.0000020 O. 0000017 END J SAXL 18.322 14 '59 1.9937 -11.530 -18.290 14.326 ' 1.9610 0.

11 552

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0.

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SXN 8.7607 -0.35551 -4. 0777 -0. 22540 '.9448 18. 061 21 783

~ 17. 931 Sl 21.837 14.368 5.1947 0 44048E-02

~ 3 6472

~ 12,267 20.825 24.621 S3 -3.5147 -0.81999E-02 -3.2010 ll>>534 -21.937 -26.593 -22>>786 -13.059 SZNT 25 352 lh ~ 376 8 3956

~ 11 S39 25 ~ 584 38.859 43.611 37.680 sent ~'l ann wa.%7> 7>> 3389 11.536 ol.o7n 3a an7 37.181 33.140 page ~ 7 Rev.

8-11-1997 11:58AM FRCM MPR p9SppypTES INC 783 519 8224 EPELH -O.OOO0002 -0.0000002 0.0000000 O.oopoopl 0 OOOOOO2 0 ~ 0000002 0.0000000 -0 0000001 ~

FPELXH 0 ~ 0000008 0 ~ 0000000 0 Oppop04 p pppgpgp 0 ggpppob 0 0000017

~ 0.0000020 PORCES ON YXMBER AT )

ODE. 8 0.137122 54.3401 -0 385824

~ 216 425

~ 33.2608 1053 23

~

14 0.137122 $ 4 3401 -0.385824 216.42$ 24. 1704 -223.765 ZLm 10 NODES< 14 15 FORC>-0 I194IZE-02 STRETCHY 0. 001941 RATEa 1.00000 11 NODESe 14 16 MATe STR PZP CTZa 1 0000

~

SFACTJ<< 1 ~ oboo D)~ 80. 402 S3MN~ -80. 481 SINTMXe 81 ~ $ 32 SEQVMXe 81,012 ANGLE 0 45 90 135 180 225 270 315 D I SAXL lb.322 14.3$ 9 1.9934 11 $ 30 18 29Q -1 9613

~ 11. 562 SRAD 0, O. 0. 0. 0. 0. 0 ~ 0.

SH 0. 0. o, 0. 0. 0. 0.

SXH 8.7607 -0.35557 -4, 0777 -0.22540 8.9448 lb.051 21. 783 17 931

~

Sl 21.837 14.36 5.1945 0 44Q478 02

~ 3 6472 12 267 20.82$ 24.621 S3 3 ~ 5147 -0.88000E-02 -3IZ011 <<11.$ 34 21 937 26 593 <<22.786 -13.0$ 9 SINT 2$ .352 14.376 8.3956 11.$ 39 2$ .584 38.86p 43.511 37.580 SEQV 23.790 14 72 7 '388 11.537 23,97p 34 dp7 37.781 33.140 EPELAXL 0.0000007 0.0000005 P.OO00001 -0 0000004 -0.0000007 -0.000000$

~ -0.0000001 0.0000004 EPELPAD -0.00000O2 -0.0000002 0.0000000 0.0000901 0.0000002 0.0000002 0.0000000 -0.0000001 EPELH -0.0000002 -0.0000002 0.0000000 0.0000001 O.PQ00002 0.0000002 0 0000000

~ -0.0000001 EPELXH 0.0000008 0.0000000 -0.0000004 0.0000000 0.0000008 0.0000017 0 0000020

~ 0.0000017 END J SAXL 79,448 57.273 1.5583 -55.060 79,415 57.241 -1.5251 $ 5.092 SRAD 0. 0. Oo 0. 0. 0. 0. 0.

SH 0. 0. 0. 0. 0. 0. 0. 0.

SXH 8.7607 -0.35557 4 07>7

~ -0.22540 8.9448 lb.061 21.783 17.931 Sl 80 402~ 57 276

~ 4.9307 0.92271E-03 0,99501 5.2223 Zl 034 e 6P 414

~

S3 0.95458 -0.22075E 02 3.3724 -55.061 "80.411 -62e464 -22. 560 -5. 3219 SINT 81. 357 57. 278 8. 3030 55 062 e 81. 406 67 686

~ 43 '93 6$ .736 SEQV 80.884 57.277 7.2327 55.062 80.913 65.232 37.761 63.243 EPELAXL 0.0000028 0.0000021 0 0000001

~ "0.0000020 -0.0000028 0.0000021 -0.0000001 0.0000020 EPELRM) -0.0000009 -0,0000006 0 0000000

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~

EPELXH 0.0000008 0.0000000 -0.0000004 0.0000000 0.0000008 0.0000017 0.0000020 '.0000017 FORCES ON MEMBER AT NODE 14 0.135181 $ 4.3401 -0.386824 216.425 24.1704 -223.766 16 0.135181 54.3401 -0.386824 216.425 lb.8516 -970.943 EL- 12 MODESTY 16 17 PORC~ 0.12488E-02 STRETCH ~ 0.001249 RATE~ 1.00000 1

EL= 13 NODES~ 16 18 MAT~ 1 STR PIP SFACTZ~ 1.0000 . SPACTJ~ 1.0000 SIMXa 223.16

~ S3)O)a -223;1S SINTMXi 223, 51 SEQVHXi 22 3.33 ANGLE 0 4S 90 13$ 180 22$ ' 270 315 Z SAXI 79.448 57.273 1.$ 583 55.060 -79.416 -57 241 ~ -1. SZ51 $ 5.092 SRAD 0~ 0. 0. 0.~ 0. 0. 0. 0.

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~ -0 22561

~ 8.9445

~ 18 061

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~

-80.411 -62.463 67.686

'22.560 43 '93

-5.3220 65.736 BINT 81.357 57.278 8.3030 81.406 SEQV 80.884 $ 7.277 7 .2327 55.062 80.913 65. 231 37. 761 63 '44 EPELAXL 0.0000028 0.0000021 0.0000001 -0.0000020 -0.0000028 -0.0000021 -0.0000001 0.0000020 EPELPAD 0.0000009 -0.0000006 0.0000000 0.0000005 0.0000009 0 0000006

~ 0.0000000 -0 0000006 ~

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~ 0.0000006 0.0000009 0.0000006 0.0000000 -0.0000005 EPELXH Q.gpppoob 0.0000000 0.0000004 OI0000000 0.0000008 0.0000017 0.0000020 0.0000017 END J SAXL 222.82 157.93 0.

~ 0 ~ 54104 157.16 -Z22,78 -157 '0 0:

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~

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~ 0.0000000 -0.0000017 EPELXH 0 0000008

~ 0.0000000 0.0000004 0 0000000 0.0000008 0.0000017 0.0000020 0. 0000017 FORCES ON MEMBER AT NODE 16 0.135181 54.3401 -0.385575 216. 425 18. 8$ 1 6 -970.943 18 0. 135181 54.3401 . -0.38S575 216 425~ 6. 4168 1 2723. 41 14 NODESe 18 19 PORC< 60.509 STRETCH~ 0.000000 RATEa 0.100000E<<11

'I ELs 15 NODES~ 18 20 MAT~ 1 STR PIP SPACTZ~ 1.0000 SFACTJ~ 1.0000 SIMXII 223. 16 S3MN -223. 14 SZNTMX> 223. $0 SEQV))Xe 223.33 ANCLE 0 45 90 135 180 225 270 31$

E))D Z SAXL 222. 82 1$ 7. 93 0. 54104 -157.16 -222.78 -157.90 >>0 50887

~ 157.19 SRAD 0, 0. 0. O. 0~ 0, 0 ~ o.

SH 0. 0. 0. 0. 0. .. 0. 0. 0.

SXH 8. 7610 9. 8258 lp. 321 9. 9556 8.9445 7.8797 7.3849 7.7499 Sl 223 16 ~ 158. $ 4 10 595

~ 0. 62816 0.35854 0 39225

~ 7.1348 1$ 7.57 S3 -0 34395

~ -0.60898 -10.054 -157.78 .-223.14 158.29 -7.6437 0.38) lb 223.50 ~ 159.15 20 '48 158.41 223.50 1$ 8.68 14.779 ).57.95 SZNT SEQV 223. 33 158. 84 17. 884 158. 10, 223.32 158.49 12.801 157 '6 0.0000056 PELAXL 0 0000080

~ O.O000057 0,0000000 -0.0000056 -0 0000080 ~ -0.0000057 0.0000000

-PELRAD -0.0000024 -O.opoool') 0.0000000 0.0000017 Q.POOQQ24 0.0000017 0.0000000 -0.0000017 EPELK 0.0000024 0.0000017 Q.opoppoo 0 0000017

~ 0.0000024 0.0000017 0.0000000 -0.0000017 Page ~E CALC. NO. s/X-Z3-@toro Rev. 0

8-11-1997 11:584M FROM MPP 4SSQQ$ 4TES INC 783 519 @224 P. 51 e

SRAD 0. 0~ p. 0. 0. 0. 0.

SH Oe 0. 0. 0. 0. 0. 0 ~

SXH 8.7610 9. 8258 10,321 9 9556 8 9445 7.8797 7.3849 7e1499 Sl 218.50 155.05 10.446 0 64068 Q 36518 0. 40112 7.2711 154. 48 S3 0.35129 -0.62270 -10.197 j54 7p 218.48 -154.79 -7. 4942 -0 38819

~

SINT 218. 85 155 67 20, 643 155 34 218 8$ lsse 19 14.171 154.87 SBQV 218 ~ 67 155.36 17.878 1$ 5.02 218.66 154.99 12.793 154.68 ELAXL 0.0000078 0.0000055 O.OOPPPpp -p 0000055

~ p QPQPP18 0 ~ 00000$ 5 0.0000000 0.0000055 ELRAD 0.0000023 -0.0000017 0.0000000 P PP00011 P QPPP023 0 ~ 0000017 0.0000000 -0.0000017 EPELH -0.0000023 -O.pppppl1 0.0000000 Q,ppppp17 Q,QQQQQ23 0. 0000017 0 0000000

~ -0.0000017 EPEIgpf 0.0000008 0.0000009 O.OOPPP10 O.ppppp09 O.ppPPppd 0.0000007 0.0000007 0.0000007 FORCES ON MEMBER AT NODE 18 0.135181 <<Se16872 p 385575 216.425 6 41681

~ -2723 41

~

20' ~ 135181 -6.16872 -0 385575 216.425 2.85024 -2666.35 EL~ 16 NODES< 20 21 MAT~ 1 VALVE SFACTZI 1.0000 SFACTJ~ 1.0000 SIMXe END I SAXL 218. 50 22188.15

~ 1 S3MNa -218. 48 154'.42 45 SZNZMXe 0.24926 90 218. 85 154.06 135 SEQVMX~

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-218.12 218. 67 22$

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10.321 10.446

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~ 0.0000009 0.0000008 0.0000007 0 0000007

~ 0.0000007 EN J SAXL 206.04 145.32 -0.50779 -146.03 -206.00 -145.29 0 ~

0.~ 0. 0.

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-.0. 66135 '10. 20.648 578 -146.71 147.38

-206.39 206.78

-14S.72 146.14

-7.1198 14.780

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~ -0.0000016 EPELXH 0..0000008 0.0000009 Oepoooolp 0 0000009

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~ 0.0000007 0.0000007 FORCES ON MEMBER AT NODE '20 0.135181 -6.16872 -0.385S15 216.425 16.425 2.85024 -2665.35 21 0 135181 ~ 6.16872 '-0.385575 216.425~ . -6.40357 2518.30 17 NODES< 21 25 MAT~ 1 e SIR PIP TI= 1.0000 SFACTJ"- 1.0000 e 206.41 S3MNa -206.39 SZNTMXei 206.78 SEQVMX~ 206.59 ANGLE 0 45 90 135 180 225 270 END I SAXL SRAD 206.04 145 '20. -0.$ 0779 -146 '30. -206.00 ~ -145.29 0.

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~ 7.3849 7.6S98 146.47 S3 -0 37186 -0 66135 -10 518 -146.7i, 206 39 -145.72 -7.1198 -0 4'100$

'46 38,206.

~ ~ ~ ~ ~

SZNT 206.78 146. 65 20. 648 147. 78 146. 14 14. 780 146. 88 SEQV 206 59~ ~ 32 17 883

~ 147.05 206.59 14$ .93 12.S02 146 68 ~

EPELAXL 0 0000074

~ Oe0000052 0.0000000 -Oe0000052 -0.0000074 0.0000052 0.0000000 0.0000052 EPELRAD "0 0000022

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~ -0.0000016 EPBLH -Oe0000022 -0.0000016 0.0000000 0 0000016

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~ 0.0000007 gg J SAXL 206.02 ~ 145.32 "0.50848 -146.02 -205.99 -145.28 0 ~ 54OSS 146.O6 SRAD 0. 0. 0. 0. 0.

SH 0. 0. 0 0 0 0. 0.

SXH 8.'1610 '.82SS 10 321

~

9 ~ 9556

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0.42612 8197

~

7 ~ 3849 7.6602 7.7499 146.47 Sl 206.40 145.98 10.070 O.67562 0.38766 S3 -0.37188 -Oe 65139 -10.578 146.70 -206.38 145 71 -7.1195 -0.41007 SINT 206.17 146.64 20.648 147.38 206.77 146.14 14.780 146-88 SBQV 206.58 146.31 17.883 147.04 206.5 7 145.92 12.802 146e67 EFELAXL . o.ooooo74 o.ooooosa o.ooooooo -o.ooooosa -o.ooooo14 -o.ooooosa o.ooooooo EPELRAD "0 0000022

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~ 0.0000016 0.0000000 -0.0000016 EPELXM 0.0000008

~ 0 0000009

~ 0.0000010 0.0000009 0.0000008 0.0000007 0.0000007 0.0000007 FORCES ON MEMBER AT NODE 21 0.1351S1 6.16872 0.3SSS75 216.425 25 -6.40357 -2518.30 25 0.135181 -6.16812 <<0.385575 216.425 -6 41208

~

ELi 19 NODESa 25 26 MAT~ 1 SPACTIe 1.6428 SFACTJ- 1 6428

~

SZMX~ 338.68 S3MN< -338.65 SINTMxe 338.90 SEQVMXa 338.79 135 180 225 210 315 END ANGLE I SAXL 338e42 0

-238.68 45 0.87784 90 239.93 338.45 238 ~ 11 0.

-0.84568 0.

-239 '00.

SRAD 0. 0. 0. p. 0.

SH . 0 0. 0~ 0. 0~ 0~ 0 0.

SXH 8.9445 7.8797 7.3849 7.7499 8. 7610 9.8258 10.321 9.9555 Sl 0.23624 0.25985 1.8368 240eld 338.67 239. 12 9.9055 0.41244 S3 -338.65 -,238.94 -6.9590 -0.25001 0.22663 -0.40376 -10.752 20.659

-240 240.73

'1 SINT 338.89 239.20 14.796 240.43 338.90 239.52 e X 0 '7'I ewe 07 11. %21 Zdo.at 338.19 239.32 17.896 240.52 CALC. NO. </4 ->> - ~~,~ Page ~

Rev. O

, 8-11-1997 11:51AM FROM MPR P99OgiyyEP INC 783 519 822d P. 52 BpELH 0.0000036 0.0000026 0.0000000 -0.0000026 0.0000036 -0.0000025 O.ppppppp 0.0000026 EPBLXH 0 ~ 0000008 0 ~ 0000007 Orpppppp1 p.ppp0001 0.0000008 0.0000009 p.ppppplp 0.0000009 END J SAXL -298.65 -210 44 ~ 1.0602 298.72 210 51 ~ -0.99537 -211.90 S BAD 0~ 0. O. 0. Q. 0. 0 ~

Sm 0. O. O. 0. 0. 0. Q. O.

SXH 47. 491 46 ~ 437 4$ -9S6 46. 335 47.352 48. 411 48 892 48 513 1.3717 ' 7915 46 489 221.65 306.04 221;11 48.397 10.579 Sl ~

'30

~

S3 306. 02 "210 23 ~ 45 ~ 419 -9 6862

~ -7.3263 -10.599 49.392 -222.47 313 40 ~ 03 91 ~ 91S 231 33 313. 37 231. 71 91.789 233 05 F SEQV 3Q9 ~ 18 225 ~ 29 79 ~ 605226.65 309.77 0.0000107 225.59 0.0000075 84.689 227.95 0.0000000 -0.0000076 Q.P000107 Oe0000075 0.0000000 0.0000076 EpELRAD p.p000032 0.0000023 0.0000000 -0.0000023 "0.0000032 -0.0000023 0.0000000 0.0000023 EPPLH 0.0000032 0.0000023 0.0000000 0 OOQQ023 -0.0000032 -0.0000023 0.0000000 0.0000023 EPEI,XH 0.0000044 0.0000043 0.0000043 Q,QPOQQ43 0.0000044 0.0000045 0 0000046

~ 0.0000045 25 0.135181 6.16872 0.385575 215.425 6.41208 2518 "7 FORCES ON MEMBER AT NODE 26 0. 272444 6. 16872 0 '04494 1159.39 7 '4745 2222 '1 ELe 20 NODBSe 26 27 MATe 1 SFACTZe 1.642S SFACTJe 1.6428 SIMXe 306,04 S3MNe -306. 03 szllTleXe 313. 4Q SEQVMXe 3 0 9.78 AllCLE 0 4S 90 135 180 225 270 315 END I SRAD SAXL -298.6S 0.

210 r44 0.

1.0602 0.

211.96 0.

298.12 0 ~

210 51 ~

0.

0. 99537 0.

-?11. 90 O.

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SXH 47.497 45.437 45.956 46.335 47.352 48 ~ 411 48 892 48. 513

'4

~

Sl 1. 3711 9.7915 46. 489 221. 65 306 221.11 48.397 10.579 S3 306 02 ~ -220- 23 "45. 429 -9. 6861 7.3263 -10. 599 -49.392 222.47 SINT 313.40 230 03 91 ~ 918 231 33 313. 37 231.71 97.789 233.05

'8

~

SEQV 309 225.29 79.605 226.65 309.77 226.59 84.689 227.9$

EPBLAXL -0.0000107 0.0000075 Q F 0000000 0.0000076 0. 0000107 0.0000075 0.0000000 -0.0000076 EPBLRAD 0.0000032 0.0000023 0.0000000 -0 '000023 -0.0000032 -0.0000023 0.0000000 0.0000023 EPELH 0.0000032 0.0000023 0 ~ 0000000 -0.0000023 -0.0000032 -0.0000023 0.0000000 0 0000023

~

EPELXH 0.0000044 0.0000043 0.0000043 0.0000043 0.0000044 0 0000045

~ 0 0000046 0.0000045 RD J SAXL -213.42 150.09 1.1815 151.79 213 r 51 150. 18 1. 0998 -151 71 ~

SRAD 0, 0. 0 ~ 0. 0. 0. 0. O.

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0 ~ 0. 0. 0'. O. 0 ~ 0.

SXH 78 472 71. 422 . 76.962 '71.362 78.388 79.438 79.898 79.497 79 '50

~

Sl 25. 747 32,778 77. 558 184. 27 239.20 184.40 34.026

-239,17 -182.87 -76.370 -32.478 -25.689 -34.221 -80.449 185.73 S3 SZNT 264.91 , 21S.6S 153.93 216.7S 254.89 218. 62 203.68 159e80 138.39 219 204.88

'6 SEQV, 253.03 201.27 133.31 202.48 253.02 EPELAXL "0.0000076 -0.0000054 0.0000000 O.OQOPOS4 0.0000017 0.0000054 0.0000000 -0.0000054 EPELRAD 0.0000023 0.0000016 0.0000000 -0.0000016 0.0000023 -0.0000016 0.0000000 0.0000016 BPELH 0.0000023 0..0000015 0.0000000 0.0000016 -0 0000023 -0.0000016

~ 0 0000000

~ 0.0000015 EPELXH 0.0000073 0.0000072 0.0000072 0.0000072 0.0000073 0.0000074 0.0000074 0.0000074 ES ON MEMBER AT NODE 26 0.272444 5.16871 0.304494 1159.39 7.64745. 2222.41 27 0.368230 6.16872 0.177055 1917. 39 8.50952 1588.31 ELe 18 NODESe 27 30 MATe 1 STR PZP SPhCTZe 1.0000 SFACTJe 1.0000 SIMXe ANGLE 166.82 0

S3MNe -156 45

'2 SZNTMXe 90 203.74 135 SEQVMXe 180 18 8.02 225 270 315 END I SAXL -129.89 SRAD 0 ~ .

-91.344 0.

0.13997 0.

92.417 0.

129.98 0.

91.432 0.65234 O.

-92.329 0.

SH 0 ~ 0~ 0. 0. 0. 0. 0. 0 ~

71.422 76.962 77.362 ~8. 388 79.438 79.898 79.497 SXH Sl S3 78.472 36.915

-166.81 44.211

-13$ .56 77.333 76.593

'36.32

-43 '03 148-.82

-36.834 137.37 45 '37 79.572

-80.224 45 '65

-138.09 SINT 203.73 179..78 153.93 180.22 203.65 183.'31 159.80 183.86

'62.25 SEQV l88.01 133.30 162.71 187. 96 165.20 138.39 165.78 EPELAXL -0.0000047 -0 0000033 ~ 0.0000000 0.0000033 0.0000041 0.0000033 0.0000000 -0 0000033 ~

EPELRAD 0.0000014 0.0000010 0.0000000 -0 0000010 ~ 0.0000014 -0,0000010 0.0000000 0.0000010 EPELH 0 0000014

~ 0.0000010 0.0000000 0.0000010 -0,0000014 -0. 0000010 0.0000000 0,0000010 EPETXH 0.0000073 0.0000072 0.0000072 0.0000072 0.0000073 0 0000074

~ 0.0000074 0.0000074 END J ShxL -123.51 -86 '97 0.92335 88.029 123 59 ~ 86.785 -0.83572 -8'1 ~ 941 SRAD 0 ~ 0. 0 ~ 0. Or 0 ~ 0. 0 ~

SlC 0 ~ 0. 0 ~ Or O. 0. O. 0.

SXH 78.472 77.422 16.962 77.362 78.388 19.438 79.898 79.497 Sl 38 103

~ 4S.382 77.425 133.02 161. 61 133. 91 79.481 46 '77

$3 ~

161. 61 -132. 08 -76. 502 44. 992 -38. 020 -47. 124 -80 317~ -134. 82 SINT 199.71 177.46 153.93 178.01 199.63 181. 03 159 80 ~ 181, 69 SEQV 183. 65 159. 68 133. 31 160. 32 183.60 162r67 138.39 163.38 BPBLAXl. -0.0000044 -Oe0000031 0.0000000 0.0000032 0.0000044 0.0000031 0.0000000 -0.0000032 EPELRAD 0.0000013 0.0000009 0 0000000

~ -0.0000009 0. 0000013 "0.0000009 0.0000000 0.0000009 EPELH 0.0000013 0 ~ 0000009 0.0000000 0.0000009 -0. 0000013 0.0000009, 0.0000000 0.0000009 EPELXH 0 ~ 0000073 0.0000072 0.0000012 0.0000072 0 ~ 0000073 0.0000074 Or0000074 0.0000074 FORCES ON MEMBER AT NODE 27 0.368230 6 '5872 0.177056 1917 '9 8.50952 1588.32

'0 30 0.368230 6.16872 0. 171056 1917.39 10.1511 1510.22 ELe 22 NODESe 30 31 MATe 1 SFACTle 1.0000 SPACTJe 1.0000 S1MXe 161. 61 S3MNe 161. 62 SINTMXe 199. 73 SEQVHXe 183.67 ANGLE 0 45 13$ 180 225 270 315

-123. 51 -86.697 0.

0.92335 0.

88.029 0.

123 '90. 86.185 -0.83572 0.

-81. 941 0.

0. 0~

0. 0. 0. 0. 0. 0. 0. O.

78.472 'l7.422 76.962 17. 362 78.388 '9.438 79.898 79.491 Sl 38. 103 45.382 17.425 133.02 161. 61 133.91 79.481 46.877 S3 16rl.61 -132.09 -76.502 -44.992 -38.020 -47. 124 -80.317 -134-82 CALC. NO.

,8-11-1997 11:52AM FROM MPR ASSOCIATES INC 783 519 8224 P. 53 183.65 159. 68 133. 31 160.32 162. 67 . 13 8 39 ~ 163 . 38 EPELAXL p p000044 -0.0000031 0 ~ 0000000 0 ~ 0000032 O.PP00044 P,OQ00031 0.0000000 0.0000032 EPELRAD 0.0000013 0 0000009 0.0000000 O.pppppps -O.PP00013 -0.0000009 0.0000000 0.0000009 EPELH Os0000023 0.0000009 0.0000000 -0.0000009 Q.QQQQQ13 -0.0000009 0.0000000 0.0000009 EPELXH PE 0000073 0.0000072 0 ~ 0000072 O,POPPP12 Q.PPPPP73 P.OP00074 0.0000074 0.0000014

-48 275 "33 431 1 ~ 0255 34 ~ 909 48.372 33.528 -0.92850 -34,812 J SAXL

'6

~ ~

SRAD 0. 0. 0. 0~ 0. 0. 0. 0.

0. 0. 0. 0. 0. ,0. 0. 0.

SH SXH 95.529 94 '89 94.056 94.482 95,518 96.558 '91 96.56S 74,394 79.242 94.570 113.54 122.72 114.77 96.528 80.715

-122,67 112.67, -93.$ 4d 78.626 74.347 -81.238 -97.457 "115.53 SZN 197 06 ~ 191 ~ 91 188 11 ~ 192 1'5 197.07 196.00 193 99 ~ 196.24 SEQV 172.36 257.04 262.91 267.33 172.37 170.$ 7 158.00 170.84 EPELKCL -0,0000027 -0 0000012

~ 0.0000000 0 0000013

~ 0.0000012 0-0000000 0.0000012 '.0000017 XPXLRAD 0.0000005 0.0000004 0.0000000 -0 0000004 -0.0000005 -0.0000004 0 0000000

~ 0.0000004 EPELH 0.0000005 0.0000004 0.0000000 -0.000000d 0.0000005 -0.0000004 0.0000000 0.0000004 RPELXM 0.0000089 0.0000088 0.0000088 O.OQQPQSS 0.0000089 0.0000090 Oo0000090 0 0000090

~

FORCES ON MEMBER AT NODE 30 0.368230 6. 16872 0.177056 1917.39 . ~ 10.1511 1510.22 2335. 28 1 1. 9429 590.690 31 0-407957 6 16S72 0.225624E-01 XI<< 23 NODES% 31 32 MAT%

SFACTZ% 1 0000 SFACTJ< 1 F 0000 SIMX%

ANOLE 122 '2 0 S3MN% 122.70 45 SZEEZMX%

90 197 ~ 53 135 SEQVMX%

180 172.42 225 270 "

315 D I SAXL 48 ~ 275 33 431 1 0256 0.

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0.

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~

192 16 ~ 197 172.37

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EPEIAxL <<0 0000017

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~ 0.0000004 EpEIxH 0.0000089 o.ooooode o.oooooes o.oooooss 0.0000089 0.0000090 0.0000090 0.0000090 EMD J SAXL 34 '05 24.923 0.96798 -23 '27 -34. 213 24. 831 -0 87523

~ 23. 619 SRAD 0 0. 0. 0. 0~ 9 0. 0 ~ 0.

0.

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97 '38 Sl 115 55 ~ 109.23 95.940 84 '63 82.346 86.351 97.953 110.46 S3 -81.2hh - -84.207 -94.972 108.39 -115.56 -111.18 -98.829 "86.838 BINT 196.79 193. 34 290. 91 193 25 ~ 196.90 197.53 19'8 197 F 29 SEQV 111.29 167.90 165.33 167.77 171. 38 171. $ 2 170. 42 171. 27 EPEIAXL 0.0000012 0.0000009 0.0000000 <<0.000000S -0.0000012 -0.0000009 0.0000000 0.0000008 ELRAD -0.0000004 -0 0000003 ~ 0.0000000 0;0000003 0.0000004 0.0000003 0.0000000 -0.0000003 BPELH 0.0000004 -.0.0000003 0.0000000 0.0000003 0.0000004 0.0000003 0.0000000 -0.0000003 EPELXH 0.0000090 0.0000089 0.0000089 0.0000089 0.0000090 0.0000091 0.0000092 0.0000091 CES OM ME%&EX AT NODE 31 0.401951 6.16872 0.226624E-01 2335.28 11. 9429 590. 690 32 0.385575 6.15S72 0.135182, 2369.48 ll.2114 -418 768 ~

EL% 21 NODES% 32 28 MAT% 1 STR PIP SFACTZ% 1.0000 SFACTJ% 1.0000 S1MX% 216.31 S3MN% 116.37 SINTMX% 197 65 ~ SEQVMX% 171. 71 AHCLE 0 4$ 90 235 180 225 270 315 BND I BRAD SAXL 34.305 0.

24.923 0.

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SXE5 96. 890 ~ 95. 862 95. 4 55 95.907 96.955 91. 983, 98.390 97.938 Sl 11$ .$ $ 109.23 95.940 sds863 81.346 86. 351 97 ~ 953 110.46 s3 -sl.ahd -ed.a07 -94 972~ -108.39 <<115 56 ~ "111.18 '98.829 -86.838 BINT 196 ~ 79 193.34 190. 91 193.25 196. 90 197.53 196.78 197.29 SEQV 212.29 267.90 165.33 161.17 171.38 171.52 170 42 ~ 172. 27 EPELAXL 0. 0000012 0. 0000009 0.0000000 <<0,0000008 -0.0000012 -0.0000009 0.0000000 0 ~ 0000008 EPELRAD "0.0000004 0 ~ 0000003 0.0000000 0 ~ 0000003 0.0000004 0.0000003 0.0000000 '.0000003 EPELH "0 0000004

~ -0.0000003 0.0000000 0.0000003 0.0000004 0.0000003 0.0000000 -0.0000003 EPELXH 0.0000090 Oe0000089 0 ~ 0000089 0.0000089 0 0000090

~ O.0000091 0.0000092 0.0000041 END J SAXL 35.604 25 ~ 821 0.93952 -24.465 35. 512 -25.729 0. 84117 24.557 SRAD 0~ 0. 0. 0. 0. 0. 0. 0.

SH 0. 0~ 0. 0. 0 0., 0. 0.

96.890 95.862 95.455 96.955 91.983 98 '90 97.938 SXH S1 116. 31 109. 64 95. 925 84.452

'5.907 eo.ell 85.959

-111. 69

'7.967 -98. 815 110

-86.426

'8 S3 -80.710 -83.817 -94 986 ~ -108.92 -116.32 SINT 297 02 ~ 193.45 290.91 193.37 197 ~ 13 191. 65 196 78 ~ 197.41 SEQV 171. 55 168. 03 16$ 33 ~ 167. 91 171. 64 171. 6$ 170.42 171 40 ~

EPRIAXL 0 0000013

~ 0 0000009

~ 0 0000000

~ -0.0000009 0.0000013 0.0000009 0.0000000 0.0000009 EPELPAD -0.0000004 -0.0000003 0.0000000 0.0000003 0.0000004 0.0000003 0.0000000 -0.0000003 EPELH 0.0000004 -0 0000003

~ 0 0000000

~ 0.0000003 0.0000004 0 ~ 0000003 0.0000000 -0 0000003

~

EPELXH 0.0000090 0.0000089 0.0000089 0.0000089 0.0000090 0.0000091 0,0000092 0.0000092 FORCES OM MEMBER AT NODE 32 0.385575 6.16872 -0.135181 2369.48 22e2724 -418.768 28 Os38$ $ 75 6.16872 <<0.135181 2369 48 F 10.9235 -434.644 24 MODES% 28 33 FORC= 0.32056i-pl sTRETcH% -0.032056 RATE% 1.00000 34 STR PZP 25 NODES% 28 tfAT% 1 CTZ% 1. 0000 SPACTJ% . 1.0000 121.44 S3MN% -121. 47 SZNTMX% 198.90 SEQVMX% 173. 65 iQECLE 0 45 90 135 180 225 270 325 Page~<

Rev.

. 8-1)-1997 11:53AM FRpM MPR p88ppypTES INC 793 519 8224 P. 54 0>> 0. O. 0. 0. 0. 0. 0.

SH SXH 96.890 95 '57, 95 '62 95.913 96.955 97 978

~ 98.383 91 '32 'IZ/5i Sl 116.31

-8Q.710 109.64

-83. 822 95.933

94. 994 84 '51 80.811 116.32 85.954

-111 '8 97.95P

-98.807 110.98

-86 '20 S3

~

108.92 193.47 SZNT SEQV 197.02 168 F 04 190.93 165.35 193.38 167. 92 197.13 171. 54 191>>

171.54 64 ~

'7p 195,77 41 197 40 171 39

~

EPBLAXL p.PPPQ013'.0000009 0 QOQOPPP

~ -0 0000009

~ -0.0000013 -0>>0000009 0.0000000 0.0000009 PELRAD p.pppppp4 -0.0000003 O.ppppppp 0.0000003 0.0000004 0.0000003 0.0000000 -0.0000003 EPELH P.OQPQ004 0.0000003 O.QQOPOPP 0.0000003 0.0000004 0.0000003 0.0000000 0.0000003 EPELXH O.ppppp90 0.0000089 0.0000089 0.0000089 0.0000090 0. 0000091 0.0000092 0>>0000091 J SAXL 44.138 ~

31.723 0.75152 -30.633 -44.046 -31.631 -0.65977 30.725 SP>>AD 0. 0.' 0. 0. 0. 0. 0. 0.

SH 0. 0. 0. 0. 0. 0.. 0. 0.

SXH 96.890 95.867 9$ .462 9$ . 913 96 955 97.978 98.383 97.932 Si 121 '4 113 '3 95 '39

-95.087

81. 811

~

77. 401. 83.430

-115. 05

98. 053 114 49

-83.767

~

S3 -77.303 ~ 81.309 -112. 44 121. 45 98.713 SINT 198.74 194.34 190.93 194.26 198.85 198.49 196. 77 198.26 SEQV 173.53 169 0$~ 165.3$ 168,93 173. 61 172. 63 170. 41 172.38 EPELAXL 0.0000016 0.0000011 0.0000000 -0.0000011 -0.0000016 -0.0000011 0.0000000 0. 0000011 EP ELf>>BED 0.0000005 0.0000003 0 ~ 0000000 0 ~ 0000003 0.0000005 0.0000003 0.0000000 -0.0000003 EPELH -0.0000005 -0.0000003 0.0000000 0.0000003 0.0000005 0.0000003 0.0000000 -0.0000003 EPELXH 0.0000090 0.0000089 0.0000089 0.0000089 0.0000090 0.0000091 0.0000092 0.0000091 PORCES ON NEHE ER AT NODE 28 0 ~ 385575 6 ~ 13666 0.135181 2369.48 10.9235 -434.644 34 0.385575 5.13666 -0.135181 2369.48 8.62547 538.957 EL>> 26 NODESr 34 35 NATr 1 TZHP TOUT TZN(I)r 0;00 0.00 TOUT>>TZN{J)r 0.00 0.00 SIHr 0.

SPACTZr 1.0000 SrACTJr 1.0000 S1NXr 128 ~ 97 S3NNr 128, 99 SINTNXr 201,88 SEQVHXr 1 77.07 AffGLE 0 ~

45 90 135 180 225 270 315 EffD I SAXL 44.138 31.723 0.1S152 -30 633

~ -44.046 -31. 631 0 '5977 30.725 SRAD 0. 0. 0. 0. 0. 0. 0. 0.

SH 0~ 0 ~ 0 ~ 0. 0 ~ 0>> 0>> 0.

SXH 96.890 95.867 95.462 95.913 96.955 97.978 98.383 41. 932 Sl 121. 44 113. 03 95. 839 81. 811 11. 401 83.430 98 '53 114. 49 S3 77.303 81.309 -95.087 112.44 121.4S 115. 06 -98.713 -83.761 SZNT 198.74 194.34 190 93~ 194.26 198.85 ~

198.49 196.77 198.26 SEQV 173 53

~ 169. 05 165. 35 168. 93 173. 61 172.63 170. 41 172.38 EPELAXL 0>>0000015 0 ~ 0000011 0.0000000 -0.0000011 -0.0000016 -0.0000011 0 0000000

~ 0.0000011 EPELRAD 0.0000005 0.0000003 0.0000000 0.0000003 0>>0000005 '.0000003 0.0000000 -0.0000003 EPELH -0 0000005 "0 0000003

~ ~ 0.0000000 0 0000003

~ 0.000000$ 0.0000003 0.0000000 -0 0000003

~

EPEIXH 0.0000090 0.0000089 0.0000089 0.0000089 0.,0000090 0.0000091 0.0000092 0.0000091 EPTHAXL 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 EPTHRAD 0.0000000 0.0000000 0 0000000

~ 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 EPTNH 0.0000000 0.0000000 0.0000000 0:0000000 0.0000000 0.0000000 0.0000000 0.0000000 SAXL 56 187

~ 40. 055 0. 48610 39. 341 -56. 095 -39.963 0.39435 39.432 SRAD 0. 0. 0. 0. 0. 0. 0 ~ 0.

SH 0. 0 ~ 0. 0 ~ 0. 0>> 0. 0.

SXH 96 890

~ 95. 867 9S. 462 95. 913 96. 955 97. 918 98.383 97.932 Sl 128. 97 117. 96 95. 706 78.239 72.882 80. 013 98. 186 119 61 ~

S3 -12.787 -11. 909 -9$ . 219 -117. S8 "128. 98 -119. 98 -98.580 -80.181 SINT 201.76 195. 87 190. 92 195.82 201.86 199.99 196.77 '99.79 SEQV 116. 97 170. 81 165.35 170 72

~ 117.05 174.34 170.40 174. 15 EPELAXL 0. 0000020 0. 0000014 0. 0000000 0. 0000014 -0. 0000020 -0.0000014 0.0000000 0.0000014 EPELRAD -0.0000006 -0 0000004 ~ 0 0000000

~ 0.0000004 0.0000006 0.0000004 0.0000000 -0.0000004 EPELH 0.0000006 0.0000004 0.0000000 0.0000004 0 0000006 0.0000004 0.0000000 -0.0000004 EPELXH 0 '090090 0 0000089

~ 0 '000089 0 0000089

~ 0 '000090 0. 0000091 0.0000092 0>>0000091 KPTHAXL 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0".0000000 0>>0000000 EPTHRAD 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 ~

EPTHH 0.0000000 0.0000000 0.0000000 0 0000000

~ 0.0000000 0.0000000 0.0000000 0.0000000 PORCES ON ~>> ER AT NODE 34 0.385575 6.13666 0.135181 2369.48 8.62547 538.967 35 0.385575 6.13665 -0.135181 2369.48 5. 38113 "686.247 ELr 27 NODESr 35 36 HATr 1 STR PZP SPACTI ~ 1.0000 SPACTJr 1.0000 SZNXr ANGLE 134. 51 0

S3NNr -134>> $ 2 45 SZNTHXr 90 204 '1 135 SEQVNXr 180 179. 9$

225 270 315 END Z SAXL 56.18'l 40.055 0.48610 -39.341 -56.095 -39.963 -0.39435 39.432 SRAD 0. 0. 0. 0. 0. 0. 0. 0 ~

SH 0. ~ 0~ 0. 0. 0. 0. 0.

SXH 96.890 95.867 95.452 9$ . 913 95.95$ 97.978 98.383 97.932 Sl 128 ~ 97 117 ~ 96 95 ~ 706 78 '39 72.882 80.013 98>>185

-98.580 119 61

-80.181

~

$3 -72.787 -77.909 -95.219 117. 58 -128. 98 119.98 SZNT SEOV 201.76 176.97 195. 87 170.81 190. 92 165.35 195 '2 170. 72 201. 96 177.05 199. 99 174 34 195.77 170. 40 199.79 174. 15 EPELAXL 0.0000020, 0.0000014 0.0000000 -0.0000014 -0.0000020 -0.0000014 0.0000000 0.0000014 EPELPJiD -0.0000006 -0.0000004 0.0000000 0 0000004

~ 0.0000006 0.0000004 0.0000000 -0.0000004 EPELH 0.0000006 0.0000004 0.0000000 0.0000004 0.0000006 0.0000004 0.0000000 0 ~ 0000004 EPELXH 0.0000090 . 0.0000089 0.0000089 0.0000089 0.0000090 .0.0000091 0.0000092 0.0000091 END J SAXL 64.722 45.957 0.29810 -45.508 64.630 45.865 -0.20635 45 '00 SRAD 0. O. 0. 0. 0. 0. 0. 0.

SH 0. 0. 0. 0. 0. 0. 0. 0.

SXH 96'.890 95.867 95.462 9$ 913

~ '96 '55 97.978 98.383 91. 932 Sl 134. 51 121>> 56 95. 611 75.821 69.883 77.693 ~ 98.280 123.35 S3 SINT SEQV "69.791 204.30 179.87

-15.604 197. 17 172.29

'90. -95.313 165.35 92

-121. 33 197 15

~

>>172.25

-134. 51 204.40 179. 94

-123.$ 6 201.25 175.79

-98.486 196>>77 170.40 77.751 201>>0 175 ~ 65 Page < >

CALC. NO. Z /4-3'3 Pdaro Rev.

D

.8-11-1997 11:54AM FROM MPP P~OQJQ'JEST ggt" 7@3 519 .82gg P. 55 EPEIH -Q.0000007 0.0000005 Q QQQQQQQ

~ p Qppppp5 0 QQQQQQ7 0.000000$ 0.0000000 0.0000005 EPELXH 0.0000090 0.0000089 0.0000Q89 P,PPPQ089 Q 0000090 0 ~ 0000091 0.0000092 0.0000091 f >)g I FORCES ON MEMBER AT NODE 35 0.385575 6.13666 0.135181 2369.48 5 '8113 "686.247

6. 13666 -0. 135181 2369.48 3.08305 -790.570 NODES< 36 37 FORCi 16.283 STRETCHY 0.02394$ RATE> 680.000 41

'a 29 NODES~ 36 MAT~ STR PZP I= 1.0000 SFACTJ~ 1.0000 34.52 S3MN+ 1 .51 SINTHXe 204 40 SEQW 1 79.94 ANGLE 0 45, 90 135 180 22$ 270 31$

EÃD Z SAXL 64.722 4$ . 957 0. 29810 -45. 508 -64 630

~ 45.865 -0.20635 45.600 SRAD 0 ~ 0. 0. 0, 0. 0. 0 ~

0.

SH SxH 96.890 0.

98.607 '9.3370, 98 6$ 2 0.

96 955 0 ~

95.238 0 ~

94.508 0.

95.193 0.

Sl 134.51 124.23 99 486

~ 78.d88 69.883 75.028 94.405 120. 69 S3 -69.791 78.270 99. 188 124.QQ -120.89 -94.611 -75.0$ 5 SINT 204.30 202.$ 0 198.67 2p2.48 204.40 195. 92 189. 02 195.77 SEW 179 ~ 87 176 ~ 87 172 06 176,83 179 94 171. 21 1,63. 69 171. 07 EPELAXL 0.0000023 0.0000016 0.00000PP -Q.QPQP016 P P000023 -0.0000016 0.0000000 0.0000016 EPELRAD -0.0000007 -0.0000005 0.0000000 0.0000005 0,0000007 0.000000$ 0.0000000 0.0000005 EPELH -0.0000007 0 0000005

~ 0.0000000 0.000000$ 0.0000007 0.0000005 0.0000000 -0.0000005 EPELXH 0.0000090 P.0000092 0.0000093 0.0000092 0.0000090 0 0000089 0.0000088 0.0000089 END J SAXL 60.510 42.939 0.24199 42 570

~ -60.419 -42. 848 -0. 15024 42.662 SRAD 0. Q. 0. Q. 0. 0. O. 0.

SH 0~ Qa 0. 0. 0~ 0. 0. 0 ~

SXH 96 '90 98 '07 99 '37 98 652 96 '55 95.238 94 '08 9$ .193 Sl 131.76 122.39 99.458 79.637 '71.343 76.194 94.433 118.88 S3 71.249 . 79,447 99.216 -122.21 131.76 -119. 04 -94e$ 83 -76.222 SZNT SEQV 203.01 178. 39 201.83 176. 11 198 67 172 06

~

201.84 176.09 203.10 178 47~

195 '4 170. 43 189. 02 153. 69 195.11 170.31 EPELAXL O. 0000022 4. 0000015 0 0000000

~ "0. 0000015 -0. 0000022 0.0000015 . 0.0000000 0.000001$

EPELRAD -0.0000007 -0.000000$ 0.0000000 0 ~ 0000005 0.0000006 0.000000$ ~ 0 0000000

~ "0 0000005

~

EPELH "0.0000007 -0.0000005 0 0000000

~ 0.0000005 0.0000006 0.0000005 0.0000000 -0 0000005

~

EPELXH 0.0000090 Oo0000092 0.0000093 0.0000092 0.0000090 0.0000089 0.0000088 0.0000089 FORCES ON MEMBER AT NODE 36 0.385575 -10.1459 -0.135181 2369.48 3.08305 790.570 41 0. 385575 -10.1459 -0.135'181 2369.48 2e39720 739.094 EL~ 31 NODES'1 42 MATi 1 SFACTI~ 1.0000 SFACTJ~ 1.0000

$ 1HX~ 159.53 '3lpl~ 159.58 SINT16(i 203 10

~ SEQVHXe 18 2.30 ANGLE 0 45 90 13$ 180 225 270 315 END Z SAXL 60.510 42.939 0.24199 ~42.570 60,419 -42 '48 -0.15024 42 '52 SRAD 0. 0. 0. 0. 0. 0. 0. Oa SH 0 ~ 0. 0. 0. 0 ~ 0. 0 ~ 0.

S'xH 96.890 98.607', 99.337 98.6$ 2 96.955 95 '38 94.SQB 95,193 Sl 131.76 122:39 99.458 79.637 71 343

~ 76. 194 94.433 118.88 83 71.249 79.447 -99.216 122.21 -131.76 -119. 04 -94.583 -76.222 SINT 203.01 201.. 83 198. 67 '201. 84 203.10 195.24 189.02 195. 11 SEQV EPELAXL 178.39

0. 0000022 176.11 ~ 172.06

0. 00000150. 0000000 -0. 0000015 176.09 178.d7

0. 0000022 170 F 43

-0.0000015 163. 69 0.0000000 170 '1

0. 000001$

EPELPAD -0 0000007

~ 0.0000005 Q.QQP0000 0.0000005 0.0000006 0.000000$ 0.0000000 -0 000000$

~

EPELH -0.0000007 0.0000005 0.0000000 0.0000005 0.0000006 0.0000005 0.0000000 -0.000000$

EPELXH 0.0000090, 0.0000092 0.0000093 0.0000092 0.0000090 0 ~ 0000089 0 0000088 0.0000089

-8'78

~

END J SAXL 120.$ 5 85.250 0.33344E 01 -85 182 ~ 120 48~ 0 39112E-01

~ 8$ .255 SRAD 0~ 0. 0. 0. 0. 0. 0. 0.

SH SXH 78.858 0.

80.584 pe 81 '337 0.

80.676 0~ ~

78.988 0.

77.262 0.

76.509 0.

77.170 0.

Sl 159.53 133 79

~ 81.354 48.637 39.098 45.633 76.528 130. 79 S3 38.981 -48.538 -81.321 "133 ~ 82 1S9.58 130.81 -76.489 -45 $ 33

~

SINT 198. 51 182. 33 162 67 ~ 182-46 198 a 67 176. 44 153. 02 176.32 SEQV 182. 18 163.55 140 88 F 163.65 182,30 158 63~ 132. 52 158 54~

EPELAXL 0.0000043 0.0000031 0 0000000

~ -0 '000031 0.0000043 -0. 00000/1 0.0000000 0.0000031

-0.0000013 -0.0000009 0,0000000 0.0000009 0,0000013 'PELRAD 0.0000009 0.0000000 0.0000009'0.0000009 EPELH -0.0000013 -0.0000009 0.0000000 0 0000009

~ 0.0000013 0.0000009 0.0000000 EPELXH 0.0000073 0.0000075 0 0000076

~ 0.0000075 0.0000074 0.0000072 0.0000071 0.0000072 FORCES ON ¹HBER AT NODE 41 0 '85575 1P.1459 0.135181 2369.48 2 '9720 739.094 42 0.304494 10.1459 -0.272444 1929.4$ -0 352513 E-pl -1473.11

~

El~ 32 NODES~ 42 43 MATa 1 SFACTZa 1.0000 SFACTJ~ 1.0000 SiMXe 176.79 S3MNe -176.84 SZNTMXe 198.67 SEQVHXa 184. 60 ANGL'E 0 45 90 135 180 225 270 315 ZING) Z SAXL 120.$ S 85.250 0.33344E 01 ~85.182 -120.48 "8$ . 178 0 ~ 39112E-01 8$ .255 BRAD 0, 0 O. 0. 0. 0. 0. 0 ~

SH 0. 0. 0. 0. 0, 0. 0. 0.

78.858 80.$ 84 81.337 80.676 78.988 77.262 76.509 77. 170 SXH Sl 159.53 '33 '9 81-3$ 4 48.637 39.098 45.633 76.528 130o79 S3 BINT SEQV 38.981 198. 51 182. 18

~ -48.538 182 33

~

163 $ 5

~

'62. -81.)21 140. 88 67 133. 8'2 182 46

~

163 65

~

-159 SB 198.67 182.30

~ 130.81 176.44 158.63 76.489 153.02 132.52 45.533 176.32 1$ 8 ~ 54 EPELAXl 0. 0000043 0. 0000031 0 0000000

~ '0.0000031 "0.0000043 '.0000031 0.0000000 0.0000031 EPELRAD 0. 0000013 -0. 0000009 0. 0000000 0.0000009 Oe0000013 0 0000009

~ 0.0000000 -0.0000009 EPELH 0. 0000013 -0. 0000009 0 0000000

~ 0.0000009 0 0000013

~ 0.0000009 0.0000000 -0.0000009 EPELXH 0.0000073 0.000007$ 0.0000076 0.0000075 0.0000074 0.0000072 0.0000071 0.0000072 J SAXL 162.24 114.$ 0 -0.29459 -114. 91 162.20 -114.46 0.33672 114. 95 SRAD 0. 0. 0. 0. 0. 0. 0, 0.

@ex n n. 0. 0. 0.

Page~~

Rev.

, 8-11-1997 11:54AM FRY'4 MPR PSSOcgpTE9 [NC 783 519 8224 P. 56 s3 -14 549 "20 393 53 '65 176. 84 132 -48.221 96.779

-18.075 151.10 w/si 155 29

'30.0000000

'7'50.

191.34 106.44 191 ~ 49 89

, SINT 146.16 92.177 142. 66 814 142.92 SEQV 184.49 146 61 184.60 ~

EPRLAXL 0 ~ 0000058 0'0000041 0,0000000 Q,P000041 0.0000058 -0.0000041 0.0000041 EPELPAD -0.0000011 -0 ~ OOOOO1. O.0000000 0.0000012 0.0000017 0.0000012 0 0000000

~ -0.0000012 RPELH -0.0000017 0.0000012 0 ~ 0000000 0.0000012 0.0000017 0. 0000012 0.0000000 -0.0000012 EPEZXN Q.Q000047 0~ 0000049 O.PPOP050 O'QOQQ049 0.0000047 0.0000046 0 0000045

~ 0.0000046 ES ON NK93ER AT NODE 42 0 304494 -10.1459 0.27Z444 1929.45 -0.3525138-01 -1473 11 ~

43 0.177056 -10.1459 0.358230 1242.01 -3 '5839 1982.87 30 NODES'3SFACTJs 46 HAT~

1.0000 1 STR PIP SFACTI~ 1..0000

$ 1HX~ 176.79 $ 3HN~ -176 84 ~ SINnar ~ 191 49 SEQmaCe 84.60 ANGLE 0 45 90 135 180 Z25 270 315 END I SAXL 15Z. 24 114 50 ~

-0. 29459 -114. 92 -162. 20 114. 46 0.33672 124.95 SRAD 0. 0. O. 0. 0. 0. 0. 0.

SH 0. 0. 0. 0, 0. 0. 0. 0 ~

SXH 50 716

~ 52.449 53.218 '2.573 50. 891 49. 159 48.389 49.035 Sl 176.79 134. S9 53 ~ 071 20 ~ 423 14.646 18.214 48.558 133.02

$3 -14 '49 -20 '93 -5'65 135.33 176. 84 <<232.67 -48.221 18.075 SINT 191.34 155.29'06.44 155.75 191. 49 150.89 96.779 151.10 142.92 SRQV 184. 49 146. 16 92. 171 146. 61 184.60 142.66 83.814 EPEI>>AXL 0.0000058 0.0000041 0.0000000 -0.0000041 -0 0000058 -0. 0000041

~ 0.0000000 0 0000041

~

RPRLRAD -0.0000017 -0.0000012 0.0000000 0.0000012 0.0000017 0.0000012 0:0000000 0.0000012 EPELH -0.0000017 -0 0000012

~ 0 ~ 0000000 0.0000012 0. 0000017 0.0000012 0.0000000 -0 0000012

~

RPELXH 0 0000047 0.0000049 0 0000050 O.0000049 0.0000047 0.0000046 0.0000045 0.0000046 END J SAXL

~

144.98 101.86 0.92093 0.

-103 '5 0.

-144>>94 0.

-101 81 ~

0.

0. 95307 0.

103 19 ~

0.

SRAD 0 0, SR 0. o. 0>> 0. 0. 0. 0. 0 ~

SXH 50 716 52 449

~ 53 ~ 218 52 ~ 513 50. 891 49.159'9 48.389 49.035 Sl 160.96 124.03 52.760 22.073 16.084 '61 48.873 122.77

$3 15. 980 -22 178

~ -53. 680 "125. 22 -161.02 -121. 67 -47. 910 -19. 584 SINT 176.94 246.22 105.44 147.29 177.11 141.54 96.784 142.36 sEQv 159.52 136 '8 92 '81 137 '9 169, 64

-0.0000037 -O.OOOOO52 -0.0000036 132.72 83. 818 0.0000000

~

133. 64 0 0000037 EPELAXL 0.0000052 0.0000037 0 0000000

~ ~

EPELRAD 0 0000016 0 0000011

~ 0 0000000

~ 0 0000011

~ 0 0000016

~ 0.0000011 0 0000000 0.0000011 RPELH 0.0000016 -0.0000011 0 0000000

~ 0 0000011

~ 0. 0000016 0. 0000011 0.0000000 0.0000011 EFELXH 0.0000047 0.0000049 0.0000050 0.0000049 0.0000047 0 0000046

~ 0.0000045 0.0000045 FORCES ON HEHBER AT NODE 43 0.177056 -10.1459 0.368230 1242.01 "3.85839 <<2982.87 46 0.177056 10.1459 '.368230 1242 01 F -11.5146 -1771.92 ELi 34 NODES> 46 47 HATN 1 SPACTle 1 6428

~ SFACTJ~ 1.6428 SINE~ 280.54 $ 3HN~ -280.56 SINIHXa 281>>93 SR&Ca 2 81>> 25 ANGLE 0 45 90 135 180 225 270 315 SAXL 238. 16 167. 32 -1. 5265 -169.46 -238.12 -167. 27 1.5686 169.50 SRAD 0. 0. 0. 0. 0. 0. 0. ~ 0.

SH 0. 0. 0. 0. 0. Q 0 ~ 0 ~

SXH 50.716 52.449 53.218 52.573 50. 891 49. 159 48.389 49.035

$1 248.51 182.40 52 '60 14.985 10. 421 13 '77 49 180

~ 182 67~

S3 -10.350 -15.082 -53.987 -184.45 -248.54 -180. 65 -47. 611 13. 163 SINT 258.S6 197.48 206.45 199.43 258 '6 294>>03 187. 70 96.792 83.828 195 189.59

'3 SEQV 253.84 190.39 92.1S9 192.3S 253,91 EPELAXL 0.0000085 0..0000060 0.0000001 -0.0000061 "0.0000085 -0.0000060 0 ~ 0000001 0.0000061 RPELRAD 0.0000026 -0.0000018 0.0000000 0.000001S 0.0000026 0.0000018 0.0000000 0.0000018 EPELH -0.0000026 0.0000018 0.0000000 0.0000018 0 0000026

~ 0.0000018 0 ~ 0000000 -0.0000018 EPEIXH 0.0000047 0 0000049 0.0000050 0.0000049 0~0000047 0.0000046 0.0000045 0.0000046 ZtG) J SAXl>> 279.20

~

196.20 -1.7316 -198.64 -279 '9 0.

-196 '9 0.

1.7370 0.

198 '50.

SRAD 0. 0. 0~ 0.

SH 0. 0. 0>> 0. 0>> 0~ 0. 0>>

SXH 19. 387 21. 123 21. 899 21. 260 19 581

~ 17. 846 17.070 17.708 Sl 280.54 198 ~ 44 . 21.050 2.2499 1 ~ 3667 1. 6101 17.961 200.'2l S3 -1.3398 -2.2483 >> -22.781 -200.89 280.56 197. 80 16.224 1.5663 SINT 281. 88 200. 69 43. 831 203. 14 281.92 199.41 34.184 201.78 SEQV 281.21 . 199.58 37.969 202.03 281.24 198. 61 29.617 '201 00F RPELAXL 0.0000100 0.0000070 -0.0000001 -0.0000071 -0.0000100 -0.0000070 0.0000001 0.0000071 EPELPJLD -0.0000030 -0.0000021 0.0000000 0.0000021 0.0000030 0.0000021 0.0000000 "0>>0000021 PPELH -0 0000030 -0.0000021

~ 0>>0000000 0>>0000021 0.0000030 O.OOOOO21 0.0000000 0.0000021 EPELXH 0.0000018 0.0000020 0.0000020 0.0000020 0.0000018 0.0000017 0.0000016 0.0000017 FORCES ON HEHEER AT, NODE 46 0.177056 -10.1459 0.36SZ30 1242.01, -12. 5146 1771. 91 47 0.2266248 01 10.1459 0.407957 476.335 -12.9042 -2077.39 EL~

SPACTI~

35 NODES~

1.6428 47 '8 SFACTJ~

MAT~ 1 1.6428

$ 2NXe ANGLE 280.54 0

$ 3HN~ -280 45

'6 SINTHX~

90 281.93 135 SEQVHX~

180 281. 25 225 270 315 RM) I SRAD SAXL 279.20 0,

196.20 0.

-1.7316 0>>

-198.64 0.

-279.19 0.

196.19 0.

1.7370 0.

198 65 ~

0.

SH 0 ~ 0. 0~ 0. 0 ~ 0. 0 ~ 0.

SXH 19.387 21.123 21.899 21.250 19. 581 17. 846 17. 070 17. 708 Sl

$3 280.54

-1.3398 198

-2.2483

'4 21.050

-22.781 2.2499 200.89 1.3667 280.56

1. 6101 197.80

11. 951

-15.224 200 21 "1.5663

~

281.88 200.69 43.831 203.14 281. 92 199. 41 34.184 201.78 SINT SEQV PELAXL 281.21 0.0000100

~ 199.58 0.0000070

'7.969 -0.0000001 202.03 '281.24

-0.0000071 -0.0000100 198.61

-0.0000070

29. 617 0.0000001 201 00 ~

0.0000071 PEI RAD -0 0000030

~ -0.0000021>> 0.0000000 0. 0000021 0 0000030

~ 0 0000021 0.0000000 -0.0000021 EPELH -0.0000030 -0.0000021 0.0000000 0,0000021 0.0000030 0.0000021 0.0000000 -0.0000021 RpELxa o>>nnoonia 0.0000020 0.0000020 0.0000020 0.0000018 0.0000017 Q. 0000016 0 0000017 Page~<

CALC. NO. Rev.

0

,8-11-1997 11:55AM FROM MPR ASSOCIATES "INC 7@3 5i9 8224 P. 57

0. 0. 0.

SH SXH -14. 325 -12. $ 91 -ll 8190.

. -12. 461 0.

-14.141

~

-15. 875 -16.647 -)6.0PS H5/5 i 278,46 195 83 10.888 0.78202 0.71809 1.2836 17.629 199.03 0,73688 -0 '0952 -12.829 -198.55 -278 '8 -196. 33 15. 720

'49

~ -1. 2871 SINT S3 279 278,83

'0 196.64.

196.23 23.717 20.562 199.34 198 95 ~

279.20 278.84 197. 62'96.98 33 28.897 200.31 199.67 SEQV -0 0000001 -0.0000071 -0.0000070 0.0000001 0.0090071 EPELAXL 0.0000)00 0 0000070

~ 0 ~ 0000100 PEZRAD -0 0000030 -0 0000021

~ 0.0009000 0 ~ 0000021 0.0000030 0. 0000021 0 ~ 0009000 0 ~ 0000021 O.poooQ30 -0.0000021 0 ~ 0000000 0 ~ 0000022 0.0000030 0. 0000021 0.0000000 -0.0000021 0 PPPP013 -0. 000001'2 0.009001 1 -0 0000012 -0.0000013 -0.0000015 0.0000016 -0.0000015 BPELXH ~

-12. 9042 -2077.39 RCES ON HEHBER AT NODE 47 0.226624B-01 -20 1459

~ 0.407957 476.335 48 -0.235181 1459 0.385575 -347.9$ 4 -14.3248 -2066. 60 44 STR PIP EL 33 NODBSe 48 SFACTZ 1 0000

~

SFACTJe 1.0000 17 0.87 Q.'.

S)2D(r 170. 26 S3HNr -170. 26 SINZHX= SBQVNXe ANGLE 0 45 90 135 180 225 270 315 END I SAXL -169.08 -118.74 1.1558 '20.36 169.0$ 118.70 -1.1880 -120 39 ~

SRAD Q, 0. 0 ~

0". 0. 0.

SH 0. "

0. 0. 0 ~ 0. 0. 0. 0.

-14. 141 -15. 875 -16. 647 -16. 005 -14 325 -12.591 12.. 829 12 ~ 461 SXH Sl 1. 1745 83 -170 26 ~

2.0859

-120. 82

'7-235

-16. 079 122.45

-2. 0919

~

170.26 1.2052 120. 02

-1. 3208

~ 11. 240

-12.428 1.2762

-121.67 SINT 171. 43 122:91 33 314 124 54 171.46 121.34 23i667 122.94 SEQV 170. 85 121. 88 28 857

~

~ 123 51

~

~ 170. 86 120.69 20.505 0 ~ 0000000 122

-0.0090043

'1 EPELAXL -0.0000061 -0.0000043 0.0000000 0 0000043

~ 0 0000062

~ 0.0000043 EPELRAD 0.0000018 0,0000013 0.0000000 -0 ~ 0000013 -0 ~ 0000028 -9.0000013 0 ~ 0000000 0.0000013 EPELH 0.0000018 0.0000013 0 0000000

~ -0.0000013 -0. 0000018 -0.0000013 0.0000000 0.0000013 EPELXH -0 0000013 -0. OQOOQ)S -0 0000016

~ 0 0000015

~ -0 0000013 -0.0000012

~ 0.0000011 "0 0000012 ~

END J SAXI -)69e06 -218.72 1.1565 120.3S 169. 03 118. 69 -1.1887 -120. 38 SRAD 0. 0. 0. 0. 0. 0. 0 ~ 0.

SH 0 ~ 0. 0. 0. 0. 0. 0.

SXH -14. 141 -15. 875 -16 647 ~ -16. 005 -14. 325 591 0.'12.

-11. 819 "12 461 ~

Sl 1. 1747 2. 0861 17. 23$ 122. 44 170.24 120. 01 22.239 1 2763

~

S3 "'70. 24 -120. 81 -16. 079 -2. 0921 -l. 2054 -l. 3209 -12.428 121.65 SZNT 171.41 122 89 ~ 33.314 124.53 171.44 121. 33 23 '67 122.93 SEQV 170.83 121.86 28.857 123-$ 0 170.84 120. 68 20.505 122.30 EPELAXL -0.0000061 -0 0000043 ~ 0.0000000 0 0000043

~ 0.0000061 0.0000043 0.0000000 -0.0000043 EFELFWD O.OOOOO)8 O.OOOOO)3 O.OOOOOOO -O.OOOOO)3 0.0000018 -0.0000013 0.0000000 0 0000013

~

EPELH 0.0000018 0.0000013 0.0000000 0 0000013

~ -0.0009018 0. 0000013 0.0000000 0 0000013

~

EPELXH -0. 0000013, -0. 0000015 -0. 0000016 -0. 0000015 -0.0000013 '-0.0000012 -0.0000021 0.0000012 FORCES ON NENSER AT NODE 48 -0.13S)81 )po)459 0.385575 -347.955 14.3248 2066.60 44 -0.135181 10.1459' 0.385575 -347.95$ 14.3333 2066.37 36 NODBSr 44 49 NATe 1 VALVE TOUT.TZN(Z)r 0.00 0.00 TOUT,TZN(J) ~ '.00 r Oa CTIe 1,0000 SFACTJe 1.0000 S1HXr 170. 24 S3HNe -170. 24 SINTHXc 171. 4$ 8EQVNXr 17 0.85 ANGLE 0 45 90 13$ 180 22$ 270 315 Et(D I SAXL -169.06 -118.72 1.1565 120,3S 169.03 118.69 -1. 1887 -220 38 ~

SRAD 0. 0. 0 ~ 0. Oo 0. 0. 0.

SH 0 0, 0. 0. 0. 0. 0. 0.

-12. 819 SXH -24')42 -1$ .875 -26e647 -16.005 14.325 -22.591 12 ~ 461 Sl 1.1747 2.0861 17.235 122.44 1'70. 24 120. 01 12.239 1.2763 S3 -170 24 ~ 120. 81 -16. 0'79 "2. 0921 -1. 2054 -2.3209 -12.428 -221 66 ~

SINE 171.41 122.89 33.314 ~ 124.53 23).44 121.33 23.667 122.93 SEQV 170. 83 121. 86 28. 857 123.50 170'84 120. 20.505 122.30 EPELAXI -0 0000061 -0.0000043

~ 0.0000000 0.0000043 0 0000061

~

68'.0000043 0.0000000 0.0000043 EPELRAD 0 0000018

~ 0.0000013 0.0000000 -0.0000023 -0.0000018 0. 0000013 0.0000000 0.0000013 ~

BPELH 0.0000018 ~ 0.0000013 0.0000000 -0.0000023 0.0000018 -0.0000013 0.0000000 0.0000013 EPELXH -0 0000023 -0. 0000015

~ 0. 0000016 -0 000001$ -0.0000023

~ -O.OOOOO)2 . -0.0000011 -0.0000012 BPTHAXI 0.0000000 0.0000000 0.0000000 0.0000000 0 0000000

~ 0.0000000 0.0090000 0.0000000 BPTNmu 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000900 EPTHH WD J SAX'49.14 SRAD SH SXH Sl, S3 0.0000000 14.141 1 3290

~

)50.47 0.'.

0.

0.0000000

-104.10

-15. 875 2.3671

-106.47

0. .

0 0000000 1.9136

-16. 647 17.631

-1$ .718

~

0.

0~

0.0000000 106.80 16.005 109.14 2.3470 0.

0.

0.0000000 149. 11

-14.325 1$ 0.47

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0.

~

0.0000000 204a07 22.591 10$ .57

1. 5016 0.

0.

0.0000000

-i. 9457 "11. 819 10.886

-12.831 0.

0.

0.0000000 106. 83

-12.461 1.4342

-108.26 0.

0.

BINT 151 Bo ~ 108. 83 33. 349 111. 49 151. 84 107. 07 23 '17 )09:70 SEQV 151. 14 107 ~ 67 28. 897 110.34 1$ 1.16 106m 33 20.$ 63 208.99 BPBLAXL -0.0000053 -0.0000037 0.0000001 0.0000038 0.0000053 0.0000037 -0.0000001 -0.0000038 EPELPAD 0 0000016

~ 0.0000011 0.0000000 -Oeopppo)2 -0. 0000016 -0.0000011 0.0000000 0.0000011 EPELH 0+00000)6 0 0000021

~ 0 0000000

~ 0 0000011

~ -0.0000026 -0. 0000011 0.0000000 0.0000011 BPELXH -0. 0000013 0. 000001$ -0 0000016 <<0. 0000015

~ 0 0000013

~ -0. 0000012 -0.0000011 -0 0000012

~

KPTHAXL 0.0900000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 O.OOOQOOO O ~ OOQOOOO EPTNRAD 0.0000000 0.0000000 0.0000000 0 0000000

~ 0.0000000 0.0000000 0.0000000 0.0090000 BPTHH 0.0000000 0 0000000

~ 0.0000000 0.0000000 Oeopppppp 0 0000000 0.0000000 0.0000000 FORCES ON NBNBBR AT NODE 44 -0.135181 10.1459 0.38557$ -347.955 14.3333 2066.37 49 -0 135182

~ 10.1459 0.385575 -347.9$ 5 23.$ 871 1822.87 37 NODESr 49 5Q HATe 1 SIR PIP CTIe 1.0000 SFACTJr . 1.0000 150.49 S3HNe -150.48 SINTHXe 151 ~ 86 SBQVKtr 151. 18 ANGLE 0 45 90 135 280 22$ 270 31$

I SAXL -149.14 .83 Rage Rev.

,8-11-1997 11:56AM FROM WPR ASSPg~ATEg INC 783 5>9 8224 P. SS SXH 14.141 -15. 875 16. 647 -16,POS -14.325 -12. 591 -11. 819 -12. 461 Sl 1,3290 2.3671 17.631 109 14 150 47 ~ 105. 10.886 1.4342

-106. 47 -108.26 57'1.

83 150.47 -15.718 1.3637 $ 016 -12 831 ~

108 83 33 349 151. 84 107.07 23.717 109>>70 SINT SEQV 151 ~ 80 151, 14 107. 67 28. 897 111 49 lip. 34 151.16 106: 33 0.0000037 20 '63 108 '9 EPELAXL -0 0000053. -0.000003 I

~ 0 0000001 0.0000938 0.0000053 -0.0000001 0.0000038 EPELRAD P.0000016 0.0000011 0.0000000 -O.PPPPP11 -0.0009016 -O.OOOOO11 0.9000000 0.00000'11 EPELH 0,0000016 0.0000011 0.0009000 -0.0000016 -0.0000011 0.0000000 0.0000011 EPELXH 0.0000013 -0.0000015 -0.0000016 0 P000015 0.0000013 "0.0000012 -0.0900011 -0.0000012 J SAXI>> 104.94 -71 6$ 9

~ 3.5932 76.731 104. 91 71.627 -3.6254 -76.764 SRAD 0. 0. 0~ 0. 0. 0. 0. 0.

SH 0. 0. 0. 0. 0>> 0. 0 ~ 0.

SXH 14.141, -15.87$ -16.647 -1$ .005 -14. 325 -12. 591 -11. 819 -12. 461 Sl 1.8721 3 '594 18 '40 79.936 106. 83 73>>776 10.144 1 9721

~

S3 106 '2 -7'19 -14 '47 -3.204S -1. 9207 -2.1487 7$ .925 13.770 23.914

-78.736 80.708 SZNT 108.69 78 378 33 488

~ 83.141 108.75 SEQV 107,76 76 ~ 7$ 4 29.0S7 81 ~ Se6 107 81 ~ 74.873 . 20.789 79.740 EPELAXL -O,CP00038 0.0000026 0.0000001'.0000028 0.0000038 0.0000026 -0.0000001 -0.0000028 SPELRAb 0.0009011 0.0000008 0.0000000 -O.OOOPOOB -0.0000011 -0.0000008 0.0000000 0.0000008 EPELH o.oooooll o.ooooooe o.ooooooo -o.oooooos -0. 0000011 0.0000008 0.0000000 0.0000008 EP LXH -O,OPPCP13 -0.0'00001$ -0.0000016 -0.0000015 -0 0000013 ~ -0.0900012 -0.0000011 -0 0000012 ~

FORCES ON MEMBER AT NODE 49 -0>>13S181 10.1459 0.385575 -347.954 23. 5871 1822. 87

$ 0 -0.135181 10.1459 0.385575 -347.954 44. 1190 1282.60 EL~ 38 NODES' 50 51 FORCs 0.84143E 04 STRETCHY 0.000084 RATEi 1.00000 E Le 39 NODESa 50 52 MAT~ STR PZP SFACTZ~ 1.0000 SFACTJ- 1.0000 SIHXa ANCLE 106 '2 0 S3MN~ -106.86 45 SZNTHX<

90 108.86 135 SEQVMXi 180 107 90 ~

225 270 315 EllD I SAXL 104.94 -71. 659 3 ~ 5933 76.732 104.91 71 '27 -3.6254 -76 '64 SRAD 0~ 0. 0>> 0. 0. 0. 0. 0.

SH 0>> 0 0. 0. 0. 0. 0. 0.

-11 '19

~

SXH -14 141

~ "15. 875 -16. 647 -16. 005 -14. 325 12. 591 -12.461 Sl 1. 8721 3. 3594 18.$ 40 79.936 106.83 73 '76 10. 144 1. 9721

$3 -106. 82 75. 019 -14. 947 -3. 2045 -1.9207 -2.1487 -13 770 F -78 '36 SZNT SEQV EPELAXL 108. 69 107.76

-O.OOOOO3S

'78. 378 76.754

-O.OOOOO26

33. 488 29.057 O.OOOOOOI 83.141 81.586 O.OOPOOIS 108.75 107. 81'4 0.0000038

'75,925

~ 873 0.0000026

. 23.914 20.789

-0.0000001 -0.0000028 80.708 79.740 EPELRAD 0.0000011 0.0000008 0.0000COO -0.0000008 --0.0000011 -0.0000008 0.0000000 0.0000008 EPELH 0.0000011 0.0000008 0.0000000 -0.0000008 0.0000011 '-0.0000008 0.0000000 0.0900008 EPELXH -0.0000013 -0.0000015 -0.0000016 -0 0000015 -0 0000013

~ ~ 0.0000012 -0.0090011 -0.0000012 END J SAXL 92.494 -62.521 4.0664 68.262 92 '62 62.489 -4.0986 -68.294 BRAD 0. 0. 0. 0. 0. P. 0. 0.

SH 0. 0. 0. 0. 0. '0 0. ~

0.

SXH -14.141 '15.87$ -16.647 -16'.005 -14.325 12.591

~

-11. 819 -12 461 ~

Sl 2.1137; 3. 8000 18. 894 71. 829 94.630

-2 1684 64.930

-2.4414 9.9457 2.2026

-70 '97 S3 -94.607 -66.321>> -14.738 -3.5662 ~ 14.044 SZNT 96. 721 70.121 33. 542 75. 395 96.798 67>> 372 23 '90 72 700~

SEQV 95 682

~ " 68 300

~ 29 119 73 676

~ 95.733 66. 185 20.877 71.624 EPELAXL -0.0000033 0.0000022 0.0000001 0.0000024 0.0000033 0.0000022 C.oocoool "0 0000024 ~

EPELP~ 0 0000010

~ 0 0000007

~ 0 0000000

~ 0 0000007

~ -0.0009010 -0.0000007 0.0000000 0.0000007 EPELH 0.0000010 0.0000007 0.0000000 -0.0000007 -0.0000010 -0>>4000007 0.0000000 0 0000007

~

EPELXH -0. 0000013 -0. 0000015 -0. 0000016 0 0000015

~ "0.0000013 -0 0000012 -0.0000011

~ -0.0000012 FORCES ON MEMBER AT, NODE 50 0 1 3 50 97

~ 1 0 1 4 59

~ 0.385575 347.954 44. 11'90 1282>> 60 52 -0.135097 10.1459 0.385575 -347.954 49.9026 1130.41 ELa 40 NODESe 52 53 P0RCe 0 ~ 86548E~03 STR ETCH< 0.000865 RATE~ 1.00000 EL-SFACTZ~

S1MX-41 NODES>

l.

94.750 0000 S2 SFACTJs S3MN~

Sd NATi 1

-94. 665

'. 0000 SINTMX> 96.947 SEQVMX~ 9 $ .867 31$

STR PIP ANOLE 0 45 -

90 13$ 180 225 270 END I SAXL -92 ~ 494 BRAD 0~

-62.521 0.

4.0664 0.

68.262 0.

92.462 0;

62.489 0.

4.0986 0.

-68.294 P.

SH 0. o. 0. 0. 0. o. 0. 0.

SXH 14. 141 -15. 87 5 -16. 647 -16.005 >>14.324 -12.$ 90 -11. 819 -12. 461 Sl 2. 1138 3. 8001 18. 804 71. 828 94.630 64.930 9.9457 2.2026 S3 -94.608 -66.321 -14.738 -3 '662 -2 '683 -2. 4414 -14.044 -70>>497 SINT, 96.721: 70.121 33.542 75.395 96.798 67.372 23.990 72.700 SEQV 95 '82 68.300 29.119 73.676 95.733 66.185 0.0000022 20.877

-0. 0000001 71.624 0.0000024 EPELAXL -0.0000033 -0.0090022 0 ~ 0000001 0.0000024 0.0000033 EPELRAD 0.0000010 0.0000007 0.0000000 -0.0000007 -0.0000010 0.0000007 0.0000000 0.0000007 EPELH 0.0000010 , 0.0000007 0.0000000 0.0000007 -0.0000010 -0.0000007 0 OOOCOOO

~ 0.0000007 EPEIXH 0.0000013 0,.0000015 -0.0000016 -0.0000015 0.0000013 -0. 0000012 -0.0000011 -0.0000012 END J SAXL -88.344 -59.475 4.2238 65.439 88. 312 59.443 -4.2559 -65.471 SRAD 0>> 0. 0>> 0~ 0. o. 0. P.

SH 0>> 0. 0. 0. 0. 0. 0. 0.

SXH -14. 141 -1$ . 87$ -16. 647 -16.005 -14.324 12.590 -11. 819 -12. 461 Sl 2.2084 '.9722 18.892

-14.669 69.144

-3.7047 90.577

-2.2654 62.000 2.5568 9.8807

-14 137 2.2915

-67.763 S3 -90.5S2 -63.447 ~

SINT 92.761 67.419 33.561 72.848 92.842'1.731 64.$ $ 7 24 017 ~ 70.0$ 4 SEQV 91 676 65 524~ 29 141~ 71. 068 63>>317 20,908 68.937 0.0000021 -0.0000002 -0.0000023

~

EPELAXL -0.0000032 -0.0000021 0.0009002 0 0000023

~ 0.000003'2

.PELRAD 0.0000009 0 ~ 0000006 0.0000000 0.0000007 0.0000009 -0 0000004

~ 0.0000000 0.0000007 EPEIH 0.0000009 '0.0000006 0.0000000 -0.0000007 -0.0000009 -0.0000006 0.0000000 0.0000007 EPELXH 0 0000013 0 ~ 000001S -0 0000016

~ 0.0000015 0.0000013 -0.0000012 -0.0000011 -0.0000012 PCES ON MEMBER AT NODE 5'2 0.1350 7 1 4 49 02 6 1130 41 F

Page~<

CALC. NO.

Rev.

8-11-1997 11:57AM FACN MPA ASS0C(ATE9 [NC 783 519 8224 P. 59 42 NODES>> 55 PORC>>-0.14417 STRETCH>> -0.001287 RATE>> 112,000 I i/5'I S4 59 NAT>> STR PIP EL>> 43 NODES>>

SFACTZ>> 1.0000 SFACTJ 1.0000 SINE>> 90.112 S3HN>> -90. 616 SINTNX>> 93 012 SZqmp(>> 91 .884 OGLE 0 45 90 135 180 225 270 315 I SAXL -88.344 -59 ~ 475 4.2238 65,439 88.312 59.443 -4.2559 65.471 SRAD 0~ 0. 0. 0. 0. 0. 0. 0.

SH 0~ 0~ 0. 0. 0. 0. 0. 0.

SXX "14. 141,-15. 900 ~16. 681 -16. 029 14.324 -12.566 -11.784 -12 437~

'459 2.2829 SI 2 ~ 2084 3 ~ 9836 18. 927 69. 154 90.577 61. 990 9

$3 -90 552 ~

-63.'459 14.703 3 7153 -2.2654 -2.5473 -14 103 ~ "67.754 SINT 92. 761 67. 442 33. 629 92.842 64.538 23.950 70>>037 SEQV 91. 676 65 541 29.200 71.085 91. 731 63.302 20.850 68.924 EPELAXL .0 0000032

~

-0.0000021 0 0000002 0 0000023 0.0000032 0 0000021

~ -0.0000002 0.0000023 EPELRAD 0 ~ 0000009 0 ~ 0000006 0.000QQPP p pppppp7 -0.0000009 -0.0000006 0.0000000 0.0000007 EPELH 0 ~ 0000009 0.0000006 p.ppppppQ 0 Oopppp7 0.0000009 -0.0000006 0.0000000 0.0000007 EPELXH -0. 0000013 -0,0000015 0. 0000016' 0000015 -0.0000013 0.0000012 0.0000011 -0.0000012

-20.094 -9.4111 6.7754 18.984 20.062 9.3790 -6.8075 -19. 015 SRAD 0. 0. 0. 0. 0. 0 ~ 0 ~

SX 0. 0. 0. 0. 0. 0. 0 ~ 0.

SXH -14. 141 -15 900 ~ -16. 681 -16. 029 14.324 -12. 566 -11.784 -12>> 437 Sl 7. 3000 11 ~ 876 20. 410 28, 120 27. 518 18. 102 8.8623 6 1469

~

S3 -27.394 -21.287 -13 634

~ -9.1368 7.4564 -8. I232 -15:670 25. 163 BINT 34. 694 33.163 34 044

~ 37.257 34 '75 26.825 24.532 31 310

~

SEQV 31. 681 29. 103 29 ~ 677 33 ~ 633 31.907 23.700 21. 516 28.734 BPBLAXL -0.0000007 -O.OOO0003 0.0000002 0.0000007 0.0000007 0.0000003 -0.0000002 -0.0000007 EPELRAD 0.0000002 0,0000001 0 ~ 0000001 -0.0000002 -0.0000002 -0.0000001 0. 0000001 0.0000002 EPELH 0.0000002 0.0000001 -0.0000001 -0.0000002 -0.0000002 -0.0000001 0.0000001 0 0000002

~

EPELXH 0. 0000013 -0. 0000015 0 ~ 0000016 0 0000015 -0. 0000013 -0 0000012 -0.0000011

~ 0.0000012 PORCES ON NENBER AT NODE 54 -0.135097 10.2901 0. 384710 347.954 51.8261 1019. 58 59 -0.135097 10>>2901 0.384710 -347.954 83. 0159 245.426 EL>> 45 NODBS>> 59 60 NAT>> I SFACTX>> 1.0000 SFACT>>7>> 1.0000 SINX>> 29 '36 S3NN- 27.665 SZNTNX>> 37.257 SEQVK(>>

180 33 .660 225 270 315 A!&LE 0 45 90 135 END I SAXL -20.094 9.4111 0.

6.7754 0.

18.984 0

20.062'. 9.3790 0>>

-6.8075 0.

-19. 016 0'.

SRAD 0~

0. 0. 0. 0. 0. 0. 0 0.

SH

-II.784

~

-IS,900 -16.681 -16.029 -14.324 12.566 -12.437 SXH Sl S3 14.141 7.3000

-27.394 11.876

-21..287

'0.410 -13.634 28.120 9.1368

27. 518

-7.4564

18. 102

-8.7232 8.8623

-15. 670 6 '469

-25. 163 BINT 34. 694 33. 163 34.044 31,2S7 34.975 26.825 24.532 31. 310 SEQv 31. 681 29. 103 29. 677 33. 533 31. 907 23.700 21.516 28.734 ELAXL -0.000000'7. -0.0000003 0.0000002 0:0000007 0.0000007 0.0000003 -0.0000002 -0>>0000007 BLRAD 0.0000002 0.0000001 -0.0000001 "0.0000002 -0.0000002 -0.0000001 0.0000001 0.0000002 EPELX 0.0000002 0.0000001 -0.0000001 -0.0000002 -0.0000002 -0 0000001 ~ 0.0000001 0.0000002 EPELXH 0 ~ 0000013 -0. 0000015 -0. 0000016 0 0000015

~ -0,0000013 0. 0000012 -0.0000011 -0.0000012 END 4 SAXL -19>>776 -8. 9073 7.1807 19 064

~ 19.781 8. 9126 -7. 1753 19.059 SRAD 0 0 ~ 0. 0. 0. 0.'. 0. 0.

SH 0. 0. 0. 0. 0 ~ 0. 0.

SXX -10.172 -11.932 -12.717 12.069 -10.366 -8.6060 -7 '203 -8.4590 Si 4.2980 8.2823 16.805 24.911 24.218 14.148 5 0163

~ 3.2195

$ 3 -24.074 17.190 - -9.6242 -5.8471 -4.4368 -5.2350'9.383

12. 192 22.278 SINT 28.372 25.472 26.429 30.758 28.655 17. 208 25.498 SEQV 26.485 22.504 23.168 28.291 2~714 17.367 15. 328 24.050 EPEIAXI>> 0.0000007 -0.0000003 0.0000003 0 0000007

~ 0.0000007 0.0000003 -0.0000003 -0.0000007 EPBLRAD 0.0000002 0 0000001

~ -0 opooopl -0.0000002

~ 0.0000002 -0.0000001 0.0000001 0 0000002

~

EPELH 0>>0000002 0.0000001 0.0000001 -0.0000002 -0.0000002 0.0000001 0.0000001 0.0000002 EPELXH -0.0000009 0.0000011 -0 0000012 -0.0000011

~ 0.0000010 -0.0000008 -0.0000007 -0.0000008 FORCES ON NEYBER AT NODE S9 0 135097 10.2901 0.384710 347.954 83.0159 '245.426 60 0. 224089B-QI, 10. 2901 0.407125 -251. 045 87.7411 241.765 EL>> 46 NODES>> 60 61 NAT>> I SFACTZ>> I ~ 0000 SFAC1Q>> 1.00 00 28.615 SINE 25.885 S3HN -24.588 30.758 SEQVNX>>

~ ANGLE Z SAXL BRAD,

-19 776 ~

0 0.

-8.9013 45>

0.

7.1807 90 0.

135

19. 054 0.

180 19.781 0.

225 8.9126 0.

-7, 1753 270 O.

-19.059 315 0~

SH 0. 0. 0, 0 ~ 0. Q. 0. 0.

SXH 10 172

~ -11 932 ~ -12. 717 -12.069 -10 '66 -8.6060 7.8203 -8.4690 Sl 4. 2980 8. 2823 16.805 24. 911 24.218 14.148 5.0163 3.2195 S3 -24 074 -17. 190 9.6242 -5 8471

~ -4.4368 5.2350 -12. 192 -22.278 28 '55

~

S17G'8.372 25.472 26.429 30.758 19.383 17.208 25.498 SEQV 26.486 22.504 23.168 28.291 26.714 17 '67 15.328 24 050F EPELAXL "0.0000007 -0.0000003 0 0000003

~ 0.0000007 0.0000007 0.0000003 -0.0000003 -0.0000007 EPELRAD 0 0000002

~ 0.0000001 -0. 0000001 -0>>0000002 "0>>0000002 -0.0000001 0.0000001 0.0000002 EPELH 0.0000002 0.0000001 -0.0000001 -0.0000002 0.0000002 -0.0000001 0.0000001 0.0000002 EPELXH -0 0000009 -0.0000011 -0.0000012 -0.0000011 -0.0000010 -0.0000008

~

-0.0000007 -0.0000008 EW>>7 SAXL -16.447 "6.2806 7.5772 17. 009 16.489 6.3225 -7.5352 -16.967 SRAD SH SXH -6.5165 Sl 2. 3063

-18 753 0.

0. ~

'8 ~

5. 7653

-12. 046 3335 0>>

0.

~

-9.1125

13. 657 6.0801 0.

0.

-8.4572 20.498

-3.4893 0.

0.

5.7514 0.

0

18. 901

-2.4117

~

-4 '944

9. 0721

-2.1495 0

0

~

-4. 2154 l.

0.

8861

9. 4213 0>>

4.8707 1.2988

-18. 265 0.

0>>

ll.

'3

~

SINT 21.060 17. Bll 19.737 23.987 21.312 11.822 307 19. 564 SROV 'Pp,pod 15.741 17.508 22.447 20. 215 10.715 10 '92 18. 948 Page <~

CALC. NO.

Rev.

.8-11-1997 11:57AM FROM MPR A99PP1ATE9 INC 783 519 8224 P. 68 EPELH 0.0000002 0.0000001

-0 0000008

-0.0000001 0 P000002 -0.0000002 -0.0000001 0.0000001 0.0000002 l5/5 1 EPELXH -P.0000006 ~ -P.POPOPP8 P PPPPP08 -Q QPQ0006

~ 0 ~ 0000005 0 0000004

~ 0 ~ 0000005 FORCES ON MEMBER ATODE 60 0 ~ 224089E 01 1P,29Q1 P.401125 -251.046 87.7411 241.765 61 0.176503 10.2901 0. 367559 -162. 915 92.3639 201.298 EL 44 NODES a 61 57 MATw 1 STR 'PIP ACTZa 1,0000 . SFACT>>7i 1.0000 e 21.042 S3MNN -19 108 SZNTHX~ 24.128 SEQVMXs 22 ~ 643 ANOLE 0 45 90 135 1SO 225 270 315 SAXL 16 489 6 ~ 3226 7 5352 16 ~ 967 16 441

                                                                                                  ~
                                                                                                              -6 2806
                                                                                                                   ~            7.5772            17.009 SEA D            0.                   0                  0.                 0.             0>>                 0~              0.               0.

SH 0~ 0. 0. '0. 0. 0. 0. 0. SXH -6.7514 4 ~ 9944 -4 2154

                                                              ~              -4 8707
                                                                                ~            -6.5765          -8 3335
                                                                                                                   ~           -9.1125           -8. 4572 Sl     18 ~ 901            9 ~ 0121            1.8861             1.2988          2.3063           5 1653
                                                                                                                   ~            13. 651           20.498 S3     2.4117            -2 7495
                                          ~                 9 4213           -18.265         -18.753            12 046
                                                                                                                     ~         %6.0801            3.4893 SINT      21. 312             11. 8'22          11. 307         19. 564          21. 060          1'1. 811        19.137            23. 987 SEQV      20.215              10.715              10.492            18.948 .         20.006           15.741          17.508            22.447 BPELAXL          0.0000005           0.0000002 -0.0000003 -0.000P006 -0.0000006 -0.0000002                                  0.0000003         0.0000006 EPELRAD        -0.0000002 -0.0000001                     0 0000001
                                                                ~               0.0000002       0.0000002          0.0000001 "0 0000001 -0.0000002
                                                                                                                                     ~

EPELH -0.0000002 -0 0000001 ~ 0 0000001

                                                                ~               0.0000002       0,0000002          0 0000001
                                                                                                                     ~          -0.0000001 -0.0000002 EPELXH        -0.0000006 -0.0000005 -0.0000004 -0.0000005 -0.0000006 -0.0000008 -0.0000008 -0.0000008 WD>>7 SAXL          15.909            -17.404              -8.6924             5.1237          15.951           17 446
                                                                                                                     ~          8.7344            5.0817 SRAD             0.                   0.     ~

0. 0. 0. 0. 0. 0.

SH 0. 0. 0. 0. 0. 0. 0. 0. SXH -6.7514 -4.9944 -4.2154 -4.8707 -6.5765 -8.3335 -9 1125

                                                                                                                                  ~              -8.4572 Sl 2.4189                  1.3314              1 7085
                                                              ~               8.0652           18.313           20.787          14.472            6.2898 S3     18.388            -18.736              -10 401
                                                                ~            -2 9415
                                                                                ~            -2.3618          -3 3409
                                                                                                                   ~           -5 '378           -11.372 SINE      20. 861             20. 067             12. 109           11. 001          20. 674          24.128          20.210            17.661 SEQV      19.744              19.436              11.352            9 '704           19.600           22.643          18>>039            15.505 BPELAXL         -0 0000006 -0.0000006 -0.0000003
                       ~                                                        0 0000002
                                                                                  ~             0.0000006          0.0000006      0.0000003 -0.0000002 EPBLRAD          0 ~ 0000002          0 0000002           0 ~ 0000001       0 ~ 0000001     0 ~ 0000002        0 ~ 0000002  -0 0000001
                                                                                                                                     ~              0 ~ 0000001 EPELH        0.0000002            0.0000002           0.0000001         0.0000001      "0.0000002          0.0000002     0.0000001          0.0000001 EPELXH        -0.0000006          "0.0000005          -0.0000004        -0 0000005 -0.0000006
                                                                                  ~                             -0.0000008      ~0.0000008 -0>>0000008 FORCES ON }}EM5ER AT NODE                    61   '.176503                 10.2901          0.367559              -162.915             92.3639             201.298 57     0.176503              -10.2901         "0.367559              -162.915            "106. 510            194.7l9 ELEME}}T RESULT CALCULATION TIMES TYPE      NUMBER       ENAME              TOTAL CP AVE CP 38,PIPB16                      0.593         0.016 30    PIPE18                   0.463         0 015
                                                                ~

20 COMBZN14 0.016 0.001 5 PZPE16 0.091 0.018 3 PIPE16 0.047 0. 016 NODAL LOAD CALCULATION TINES N'JMBBR ENAME TOTAL CP AVE CP 1 38 PZPB16 0.004 0.000 2 30 PIPE18 0.003 0.000 3 20 COHBIN14 0.002 0.000 4 5 PZPE16 0. 001 0.000 I 5 3 PIPB16 0.000 0.000

   "~+ ANSYS      -  BNGINEERZNO ANAIYSIS SYSTEM                      RELEASE S.3 msYS/Mechanical 40197CHC                   VERSION~SOLARZS                       09}21:29      AUD    08, 199'7 CP=          2.532 FOR SUPPORT      CAIL Edward         Bird               PHONE 703     519-0410           FAX 703-519-0224
  ~*~~~ REACTION SOLUTION                                         TIME s      1.0000 LOAD STEP~             1     SUBSTEP =             >>1    CUM. ZTER.w              1 NOTE    -  ALL vEcTQR DQFs ARB zN }1QDAL cooRDINATE BYsTKts>>

NODE FX FY FK MZ 13 0, 9.34597 0>> 15 0. 0.. 0. 1941118 02 17 -0. 12 4882E-02 0; 0. 19 0. 60.5088 0. 33 0. -0. 320564E-01 0. 37 0>> -15.2826 0>> 51 0. 0 ~ -0 '414338-04 53 -0 8654158-03 0. 0. 55 ,p. -0. 144168 0. 57 0.384710 10.2901 -0 135097

                                                                        ~                     252.886            . 106.510              22.4888 73                 0.                 8. 73614                         0.

80 0.158624E-01 0. 0.740597E-02 82 0 ~ 2,37370 0>>

0. 870.727 0.

                 -117.119                              0.               250.851 0 ~              -386.368                           0.

16.5095 0. -35.3608 0, o. 3~.08aa Page Cg CALC NO S~g-~S ~d.o Rev. 0

        , 8-11-1997 11s58AM                       FROM MPR ASSOC(ATES                    INC 7@3 519 8224                             P. 61 122        -149. 105              -472. 616 1.64602 254,223              6611 '2               -3518.83 -2928. 91      "I+./Gl 125                 0                                              0.

127 0. 0 ~ 301689 0. TO AL -0. 3062215-07 0. 353 910E-04 -0. 166590E-07 7930. 51 -523/.23 1328 '8 NOTE CP>> TIME>> 09s21s29 s may cot he correct .1! assy zeactlo ode az a zotated ssodal dKssatc system. LOAD STEP 1 SUBSTEP 1 cosspLETED I.ER >> 1 TIME 1.00000 TIHE INC>> 1.00000 NEW TRZANC MATRIX PROBLEM STATISTICS ACTUAL NO. OF ACTIVB DECREES OF FREEDOM >> 444 R.M.S. WAVEPROffT SIZE >> 25.9 ~ ">> ANSYS BINARY FILE STATZSTICS BUFFER SIZE USED>> 16384 0.188 Mb WRITTEN ON ELEMENT MATRIX FILEs zwcu.emat 0.125 MB WRITTEN ON Ef EMEHT SAVED DATA FZLEs rwcu.esav 0.125 MS WRITTEN ON TRZANCULARZZED MATRIX PILEs rwcu.trl 0.250 MB WRITTEN ON RESULTS FILE ~ zsNcu. ZSt ALL CURRENT ANSYS DATA WRZTT8N TO FILE NAME>> rwcu.db FOR POSSZBI,E RESUME FROM THIS POINT 1 FINISH SOLUTION PROCESSINC ROUTINE COMPLETED CP >> 2.603 ANSYS - ENQZNEERXNG ANALYSIS SYSTEM RELEASB 5.3 ANSYS/Mechaoical 40197CBG VERSION>>SOLARIS 09s21s29 AUC OS, 1997 CP>> 2.604 FOR SUPPORT CAfh Ecbrnrd Bird PHONE 703-519 0410 FAX 703-519 0224'>>"

                   ~ >> SSNSYS    RESULTS INTERPRETATION (POSTl) o>>o~e FILE    CHANCED TO       FILE>> zwcu,rst USE LAST SUBSTEP ON RBSUIT                FILE     FOR LOAD CASE 0 SET COMMAND COT LOAD              STEP>>,'           SUSSTEPs            1    CUMULATIVE ZTERATIONc               1 TIME/FREf)UENCI= 1. 0000 TITLE>>

SELECT POR ITEM>>TYPE COMPONENT>> ZN RANCE 1 TO 1 STEP . 1 38 ELEMENTS (OF 96 DEPINED) SELECTED SY ESEL COSSffANDs ALSO SELECT FOR ITESf>>TYPE COMPO)fENT>> ZN RANGE 2 TO 2 STEP' 68 ELEMENTS (OP 95 DEFINED) SELECTED BY BSBL COHYJNP. ALSO SELECT POR ITEM>>TYPE COMPOÃENTc IN RANCE 4 TO ~ 4 STEP 1 73 ELEVE!ITS (OF 96 DEPZNED) SELKCfED BY ESBL COMMA)fD. ALSO SELECT FOR ITEM>>TYPE COMPONENT>> ZN RANCE 5 TO 5 STEP 1 76 ELEMENTS (OF 96 DEFINED) SELECTED SY ESEf COMMA?fDI STORE SMZ FROM ITEM>>NMZS COMP> 84 FOR ALL SELECTED ELEMENTS STORE SKI PROM ZTEM>>NMZS COMP>> 85 FOR ALL SELECTED ELEMENTS STORE SFACTZ FROM ITEM>>NMIS COMP>> Sl FOR AfL SELECTED BIBHENTS STORE SPACE FROM ITEM>>NMZS COSfP>> 82 'FOR ALL SELECTED ELEMESfTS CT ALL ENTITIES OP TYPE>> ALL AND BELOW SELECT POR ITEN>>VOLU COMFONE))Tss

   ~ t \late%            A 41K              h  ca>>n              1 Page CALC NO                             Eral-/s-i<ore Rev.

8-11-1997 >1:684M FROM MPR 4+SQC/4TES INC 783 6)9 (-')224 P. 62

 ~    SELPCT         FOR ZTSMeAREA COMPONENT~

0 STEP 1

                                                                                                                                  ~o/i i IN  RANGE AREAS (OF          0    DEFINED) SEt ECTED BY ASBL COMMAND.

L SELECT FOR ITEMvLINB COMPONENT~ RANGE 0 TO 0 STEP 1 0 LZ~ {OF 0 DEFZM D) SELECTED BY LSBL COMMAND ALL SELECT FOR ZTEMeKP COMPONENTa Ztt RANCE 0 TO 0 STEP 1 0 KEYPOIN"S (OF 0 DEFINED) SELECTED BY KSEL COtCvJO{D. ALL SELECT POR ITEHvELEM COMPONENT= IN RANGE 1 TO 96 STEP 1 96 EIEMSMTS (OF 96 DBFZNED) SELECTED BY ESBL COMMAND. ALL SELECT FOR ZTEMeNODB COMPONENTi ZN RANCE 1 TO 127 STEP 1 127 NODES (OF 127 DEFINED) SELECTED BY NSEL COYNQiD. PRZNT ELEMENT TABLE ITEMS PER ELEMENT 1 v*v"v ANSYS ENGINEERING ANALYSIS SYSTEM RELEASE 5 3 ANSYS/Mechanical 40197CHG VEPiSZONeSOLARZS 09:21:29 AUG CSEE 1997 CPa 2.690 POR SUPPORT CAt t Edward Bird PHONE 703-519-0410 FAX 703-519-0224

                            'I POST1 ELEMENT TABLB           LISTING vvvv*

STAT CURRENT 'CURRENT CURRENT CURRENT El EM SMI SMJ SPACTZ SFACTJ 1 639.64 639.64 1.0000 1.0000 2 598.12 435.06 1.0000 1.0000 3 639.64 627 ~ 40 1. 6428 1.6428 627.40 598.12 ~ 1.6428 1.6428 324. 12 88.006 1. 0000 1. 0000 435.06 383.49 1.0000 1.0000 383.49 324.12. 1.0000 1 0000 F 88.006 25.544 1.0000 1.0000 11 25.544 81. 395 1.0000 1.0000 13 81.396 223.50 1 ~ 0000 1.0000 15 223.50 218.85 1.0000 1.0000 16 218.85 206.78 1. 0000 1.0000 17 206.78 206.'77 1. 0000 1.0000 18 203.69 199.68 1.0000 1.0000 19 206.77 205.07 1. ~ 6428 l. 6428 20 205.07 203.69 . 1.6428 1.6428 21 196 85

                      ~           197. 08              la0000               1.0000 22     199. 68          197 07 F

1.0000'.0000

1. 0000 23 197 07

                      ~           196. 85                                   1.0000 25     197. 08          198. 80              1.0000               1.0000 25     198. 80          201. 81              1.0000               1.0000 27     201.81           204,35               1.0000               1.0000 29 30 204  '5 191. 41 203.06 177.03 1.0000 1.0000 1.0000 1.0000 31     203.06           198. 59 '         ~  1.0000               1.0000 32     198.59           191.41               1.0000               1.0000 33     171.45           171. 43              1.0000               1.0000 34     177.03            174. 36             1.6428               1.6428 35     174. 36           171.45              1.6428               1. 6428 36     171. 43           151. 83             1.0000               1. 0000 37     151.83            108 78
                                        ~              1.0000               1. 0000 39     108.78            96.846              1. 0000              1.0000 41     96.846            92.898              1.0000               1. 0000 43     92.898            35.490              1.0000               1  F 0000 44     22.493            22.524              1.0000               1.0000 45     35.490            29.403              1. 0000              1. 0000 46     29.403            22.493,             1 0000 F               1,0000 47     1067.9            637,82              1.0000               1. 0000 4S     553.57          '043     ~ 8          1.0000               1. 0000 49      637.82           485.94       .      1.642S               1.6428 50     485.94            553. $ 7            1.6428                1.6428 1

vv ANSYS - ENGZNEERZNG ANALYSIS SYSTEM RELEASE 5 ~ 3 8/Mechanic eel 97CHG ,VERSION~SOLARZS 09:21:29 ~ AUG 08, 1997 CPe 2.703 R SUP PORT raLL zd~erd Bird PHONE 703-519-0410 PAX 703-519-0224 Pggg 7D

     .,8-11-1997 11:59AM                                  FROM MPR PSSPPgPTE9                  [NQ    7'19  8224      P. 63 y *res POST1 ELEMENT TABIvE 'LISTING STAT      CURRENT         CURRENT                         CURRENT           CURRENT ELEH      SMZ             SMJ                             SFACTZ            SFACTJ 1010. 7        903.02                          1. 0000           1. 0000 1043 ~ 8       1120. 1                         1. 64'28          1    6428

l. 6428

1120.1 1010 v 1 ~ 6428 903.02 7'34.82

1. 0000 1 F 0000 395.69 1058 5 ~ 1. 0000 1.0000 57 834v82 . 538.80 1;0000 1.0000 5S 53S.80 395.69 1.0000 1 ~ 0000 60 1058 ' 1124. 7 1.0000 1. 0000 62 1124.7 2161 ' 1.0000 '.0000 65 2161. 6 371. 94 $ .0000 1.0000 68 371. 94 497 '0 648.48

1. 0000 1.0000 lv0000 1.0000 69 586.50 70 497.40 542.65 1 F 0000 1.0000 71 542.65 586.50 1.0000 1. 0000 72 281.37 199.37 1.0000 1.0000 73 648.48 '18.71 1.0000 1.0000 74 618.71 281. 37 1.'0000 1. 0000 76 199.37 .243 50 1.0000 1. 0000 77 78 342 '9 342. 81 F

342 ~ 81 205vOZ 1.0000

                                                          .1.0000

1. 0000 1.0000 79 205v02 171.72 1.0000 1.0000 80 243.50 335.83 l. 5443 1.6443 1.6443 81 335.83 342.89 1. 6443 82 171. 72 171.79 1.0000 1.0000 83 177. 82 187.18 1.0000 Iv0000 84 171.79 176. 86 1 ~ 6428 l. 6428 85 176.86 177 F 82 1. 6428 1 ~ 6428 86 177.54 372.64 1.0000 1. 0000 87 187. 18 195v62 2, 1527 2. 1527 88 195. 62 1'77.54 . 2. 1527 2.1527 90 372.64 215.77 1.0000 1.0000 91 657.90 657.90 1 F 0000 1.0000 92 639.64 639.64 1. 2460 1.2460 93 1067. 9 1265. 8 .l. 2460 1.2460 94 657.90 745.32 1.2460 1.2460 HINZHUH VALUES ELEM 46 1 1 22.493 22.493 1.0000 1.0000 VALUES 65 62 87 87 VALUE 2161. 6 2151. 6 2.1527 2.1527 ALL CURRENT ANSYS DATA WRITTEN TO FILE NAHEe rwcu.db FOR POSSIBLB RESUME FROM TMZS POINT EXIT THE ANSYS POST1 DATABASE PROCESSOR

"~~ ~ ROUTINE COMPLETED ~~~~e CP ~ 2.758 v ~~~ "~ END OF INPUT ENCOUNTERED PURGE ALL SOLUTION AND POST DATA SAVE ALL MODEL DATA ALL CURRENT ANSYS DATA WRITTEN TO FILE NAMEe ~u.dh FOR POSSIBLE RESUME FRO'M THIS POINT NUMBER OF WARNING MESSAGES ENCOUNTERED+ NUMBER OF ERROR MESSAGES ENCOUNTERED~ ANSYS RUN COHPLETED PELEASB 5.3 UP071096 SOLARZS CP TIME (sec) 2.788 TIME a 09: 21': 30 PLAPSBD TINE (sec) 5.000 DATE ~ 08/08/97 Page CALC. NO. ~/4-~~- mo Rev.

783 519 8224 P. i<1 8 11-1997 3:81PM FRCN h<PR ASSPCIATES INC Page 7~ v~lMPR CALO. NO. l4->~

                                                                  ~oio ASSOCIATES E N G I t4 INC.

E E IT S Rev. 0 Appendix B MPR Caiculation 085-295-04 Revision 0 MPR-1854

8 1 l t 997 I I '2 ~ F~OM lviPR ASSOCIATES INC 7@3 ~19 8224 P.2 MPR Associates, inc. 320 King Street Alexandria, VA 22314 CALCULATIONTITLE PAGE Client Niagara Mohawk Power Corporation Page1 of 4 Project Task No. NMP-1 RWCU Line Crack - Code Case N-504 Evaluation 085-295 Calculation No. Evaluation of Effects of Stress Due to Weld Overlay Shrinkage 085-295-04 Preparer/Date Checker/Date Reviewer/Approver/Date Rev. No. 8/>> /9P

   /   z. ">rur-.'--)'j>rl         8. c-.r,..(                    P. ~.7~4 QUALITYASSURANCE DOCUMENT This document has been prepared, checked, and reviewed in accordance with the Quality Assurance requirements of 10CFR50 Appendix 8, as specified in the MPR Quality Assurance Manual.

CALC. NO. S ~4 '3~-~o ia- Page Rev.

8-11-1997 11:24AM FROM MPR ASSOCIATES INC 783 519 8224 P. 3 MPR Associates, Inc. 320 King Street Alexandria, VA 22314 RECORD OF REVISIONS Calculation No. Checked By Page 2 085-295-04 Revision Description Initial Issue 7 CALO NO'/+ -rz woID Page

8-11-1997 11:24AM FROM MPR ASSOCIATES INC 783 519 8224 P. 4 MMPR MPR Associates, inc. 320 King Street Alexandria, VA 22314 Calculation No. Checked By 085-295-04 ~ cg~~ Page 3 1.0 PURPOSE The purpose of this calculation is to evaluate the effects of stress, due to weld overlay shrinkage at weld 33-FW-22, on the Reactor Water Qean Up (RWCU) system. Z 0 RESULTS The maximum piping stress in the RWCU system due to the weld shrinkage is 2,162 psi. This stress is within the ASME Code allowable stress for single nonrepeated anchor movement of 45,000 psi. 3.0 APPROACH ASME Code Case N-504 (Reference 1) requires that the effect of weld overlay shrinkage on the other components in the system be evaluated. Specifically, the stresses in the system due to shrinkage of the overlay must be within the "applicable stress limits of the. Construction Code." NMP1 piping systems must meet the design xequixements of either ANSI 831.1 1986, or ASME BEcPV Section III 1980 (Reference 2). This evaluation is performed in accordance with Subsection NC-3600 of the ASME Code. The ASME Code requirements for stress analyses considers two types of stresses: Pximary and Secondary. Pximary stresses are defined as those produced by mechanical loads, e.g., deadweight. Secondary stresses are defined as. those produced by constraints, e.g., thermal or stxesses at discontinuities. Secondary stresses are self-limiting; Primary stresses are not.- For analysis of the stresses in piping systems, the Code evaluates Primary and Secondary stresses separately. Subsection NC-3652.3 includes a provision (Equation 12) for evaluating the Secondary stress due to a "single nonrepeated anchor movement." Subsection NC-3652.3 Equation 12 is appxopxiate for evaluating the stresses due to the one-time displacement (anchor motion) imposed on the RWCU piping by weld overlay shrinkage. 4.0 CALCULATION 1980 ASME Code, Section III(Reference 2) states that the effects of any single non-repeated anchor movement shall meet the requirements of Equation 12: uV> z 5 3.0S C Page CALC. NO; S Rev.

8-11-1997 I 1:25AM FROM MPR ASSOCIATES INC 783 519 8224 P. 5 MPR Associates, inc. iLBMPR 320 King Street Alexandria,.VA 22314 Calculation No.. Pr pared By Checked By Page, 4 085-295-04 where M~ = resultant moment due to any single nonrepeated anchor movement, in-lb Z = section modulus, ins i = stress intensification factor S, = the basic material allowable stress at the cold temperature, psi From Reference 3, iMJZ = 2,162 psi. From Reference 4, S, = 15,000 psi for SA106 Grade B (sec Reference 3). Equation 12 is evaluated below: 2,162 psi ( 3.0(15,000 psi) = 45,000 psi Therefore, the effects of stress in the RWCU system, due to weld overlay shrinkage at weld 33-FW-22, are within the applicable stress limits of the Construction Code.

5.0 REFERENCES

ASME Code Case N-504, Alternative Rules for Repair of Class 1, 2, and 3 Austenitic Stainless Steel Piping, Section XI, Division 1. 1980 ASME Boiler and Pressure Vessel Code, Section III,Subsection NC-3600. MPR Calculation 085-295-03, "Calculation of Stresses in RWCU System Due to Weld Overlay Shrinkage." 1980 ASME Boiler and Pressure Vessel Code, Section III,Appendix I, Table I-7.1. CALC. NO. ~~4->>- ~>> Page~7 eev.

,8-11-1997 3:82PM FRCN MPR ASSOCIATES INC 783 519 8224 P. 15 riiMPR page~7 6 N C I N I8 R S Rev. Appendix C MPR Calculation 085-295-05 MPR-1854 Revision 0

8-11-1997 3:82PM FROM MPR ASSQCJATES INC 783 519 8224 P. 16 MPR Associates, inc. RMPR 320 King Street Alexandria, VA 22314

                                   'CALCULATlONTiTLE PAGE Client Niagara Mohawk Power Corporation                                        Page  1   of 16 Project                                                                                        Task No.

NMP-1 RWCU Line Crack - Code Case N-504 Evaluation 085-295 Title Calculation No. Calculation of Flaw Growth Due to Fatigue 085-295.05, Preparer/Date Checker/Date Reviewer/Approver/Date Rev. No.

                                ~c P~C          Slake
           ~~t+L/' ~/'&l'r3      Nc7e (

QUAI.ITYASSURANCE DOCUMENT This document has been prepared, checked, and reviewed in accordance with the Quality of 10CFR50 Appendix 8, as specified in the MPR Quality Assurance Manual. Assurance'equirements Page 7+ CALC. NO. Rev.

8-11-1997 3:82PM FROM htPR ASSOCIATES INC 783 619 8224 MPR Associates, Inc. RMPR 320 King Street Alexandria, VA 22314 RECORD OF REVtStONS Calculation No. Prepared By . Checked Sy Page 2 085-295-05 ~ C y ~@~Op Revision Description Initial Issue Page 7> CALC; NO. Rev.

,8-11-1997 3:82PM FROM MPR ASSOOIATES tNC 783 ~19 8224 MPR Associates, inc. MMPR

320 King Street Alexandria, VA 22314 Calculation No. 085-295-05 Zcr Z'age Checked By 3 1.0 PURPOSE The puxpose of this calculation is to perform a flaw growth analysis for fatigue for an assumed flaw in the overlay at weld 33-BV-22, in accordance with the. method of ASME Boiler and Prcssure Vessel Code, Section XI, Appendix C Z.O RESULTS The final law depth for an assumed 0.0625 inch initial flaw through the first weld pass (around the entixe circumferencc) is 0.0699 inches. The final flaw depth to overlay thickness ratio, 0.22, is within the allowable ratio of 0.29, per Table IWB-3641-5 (Reference 5). 3.0 APPROACH The mechanism that caused the original flaw in RWCU weld 33-FW-22 was Stress Corrosion Cracking (SCC). The delta ferrite content of the weld overlay (308L or 309L) is at least 7.5% (Reference 7), and is therefore not susceptible to SCC (pex Reference 8). However, the first weld pass is mixed with the base metal, has lower ferrite content, and is susceptible to SCC. This evaluation therefore assumes that the first weld pass (minimum 1/16 inch thick) is cracked 1/16 inch deep, 360'round its circumference, at the start of this evaluation. A fatigue flaw evaluation, in accordance with Appendix C of ASMB 88cPV. Code Section XI (Reference 5), is performed for the r'emaining 4/16 inch thickness of the overlay (which is not susceptible to SCC). Note that this evaluation considers thc 5/16 inch weld overlay to. be the only load carrying poxtion of thc weld overlaid pipe, i.e., no structural cxedit is taken for the pipe. 3.1 Discussion I Paragraph C-3210 of ASME BEcPV Code Section XI, Appendix C states that fatigue fiaw growth in austenitic piping can be characterized in terms of the range of applied stress intensity factor, dKr. This characteristic is of the form: da dN

                                                     =<.(~r)"

where da/dN is the increase in flaw depth-per cycle, n and C, are constants dependent on F Page~> CALC. No. S/ -~~- r+d~o Rev.

lu , 8-11-1997 3:83PM FROM MPR ASSOCIATES INC 783 519 8224 P. 19 MPR Associates, Inc.

       /LlMPR                                                                  320 King Street Alexandria, VA 22314 Calculation No.                    Prepared By                   Checked By page 4 085-295-05                                               v c~y the material and environmental conditions, and 8K, is the maximum range of stress intensity factor associated with the transient.

The stress intensity factor at a flaw depth a (measured in inches) is generally defined as: Z, = o M pm~a/Q + ap/b+r~a(Q where e and ob represent the membrane and throughwall bending stresses (in psi) applied at the flaw location, M'nd iVb, axe unitless correction factors for membrane and bending stress, respectively, and Q is the flaw shape parameter. Mand Mb are dependent on the ratio of fiaw depth to the section thickness and the flaw aspect ratio (thc ratio of flaw depth to length). Values for these correction factors are given in Figures A-3300-3 and A-3300-5 for surface flaws. Q is dependent on the flaw aspect ratio and applied stresses at the flaw and is given in Figure A-3300-1. 3.2 Procedure for Calculatin Flaw GrowOi for the Assumed Flaw In order to determine the growth by fatigue of the assumed flaw, a cumulative fatigue flaw growth study is perfoxmed as follows: r The number of fatigue cycles is determined. Based on past experience, NMP-1 will likely experience no more than five startups and shut downs per year. Fox conservatism, the original design assumption of seven such startup/shutdown cycles per year, for 22 years (12 years reinaining life of current operating license, plus 10 additional years), axe considexed for a total of 154 cycles. Each startup/shutdown cycle includes a change in the RWCU system pressure from 0 psi to the system design pressure of 1300 psi (per Reference 3), and a change in the system temperature from 70'F to the worst case (highest stress) hot temperature. The thermal loading condition considered in Reference 6 that results in the largest axial force and overturning moments at the weld over)ay does not use the design temperature, pcr References 2 and 6. The largest axial force and overturning moments occur at the weld overlay when all piping (including the discharge line from the Aux. Cleanup pump) in the system is at 370'F. The directions (signs) of the axial force and overturning moments due to the thermal loading conditions are the same foi all thermal loading conditions (Reference 6). It is therefore appropriate to define the thermal cycle stress range as the

                                                ~i~->>-~'~o                        Page~

CALC. NO; Rev.

8-11-1997 3:84PM FROM MPR ASSQCIATES INC 783 519 8224 MPR Associates, inc. R~MPR 320 King Street Alexandria, VA 22314 Calculation No. Checked By Prepped By Page 5 085-295-05 dtfference between the stress due to the 370'.F thermal loadmg case and the cold

             '70'F) stress state (zero).

In addition to the thermal/pxessuxe cycles due to startup/shutdown, ten, full seismic cycles axe considered and applied via superposition to the final thexmal cycle. The ten seismic cycles represent one Safe Shutdown Earthquake, and are equal.to the peak stress due to the seismic inertial loading. The stresses due to the seismic axial force and overturning moments (which axe unsigned, i,e., vary from negative to positive) are obtained from Reference 2. These stresses are doubled to obtain the stress range. The application of the ]54 thermal/pressure cycles (due to startup/shutdown) and the 10 seismic cycles is shown graphically in Figure 1. Note that the stress due to the first of the ten seismic cycles is superimposed on the thermal/pressure cycle 4154 stress, but that the remaining nine seismic cycle stresses are assumed to occur during the final thexmal/pressure cycle, i.e., the total stress does not return to zero between seismic cycles. If The maximum range of stress intensity factor, dKassociated with each transient will be determined using the formula above. Values for membrane and bending stresses for the startup/shutdown cycles, and for the seismic cycles, are calculated from the forces and moments shown in Reference 2. Membxane stresses for pressure loading are determined using aI= I', /4 t. The initial flaw is assumed to be a full circumferential surface flaw with a depth equal to the. thickness of the Qrst pass of the weld overlay (0.06%"). The incremental flaw growth da/dN corresponding to dK, for each cycle is then determined: The flaw depth a is updated and the process repeated for each later cycle, to yield the final flaw size. 3.3Sim li n Assum tionsandBases Conservatisms used herein to simplify the analysis are as follows: The correction factors Mand M, and flaw shape parameter Q are considered to be constant at bounding values for each cycle (i.e., they are set at bounding constant values which do not vary with fiaw depth or length). The overall section bending stress is added absolutely with the anal membrane stress, to yield the total membrane stress. The bending stress is then set to zero. Rev.

8-11-1997 3r841 M FROM MPR ASSOCIATES INC 783 619 8224 P. 21 MPR Associates, inc.

     ~A~MPR                                                                        320 King Street Alexandria, VA 2231 4 Calculation Ho.                                                         Checked By 085-295-05                                                      g(~                         Page 6 This is conservative because the membrane correction factor M is greater than the bending correction factor M~ for all ranges of flaw size and length. Further, this is appropriate because the thxoughwall bending stresses due to the moments applied to the pipe are small in comparison to the peak axial stress on the wall due to these moments, Constants n and C, are obtained from the most bounding cases shown in Figure A-4300-1 of Section XI:
                                                -" 1.20x10"        gE')  'lV where da/d¹is expressed in micro-inches per cycle and MIis in ksi-root inches.

This relationship uses the high stress ratio curve for alloy steel water xeactor environment surface flaws in Section XI. This provides a worst case fiaw growth rate for stainless steel, which exhibits less crack growth per cycle than does the material shown in Figure A-4300-1 of Section XI. 4.0 CALCULATION 4.1 Initial Conditions Flaw Depth a = 0.0625 inches Flaw Length L = 20.8 inches. (m6.625")(assumed 360'round pipe OD) Overlay Thickness t= 0;313 inches (Ref. 4) Ovexlay OD D, = 7.25 inches Section Modulus Z = 11.33 in Cross-Sectional Area A = 6.81 in'.2 A lied Stresses Design Pressuxe P = 1300 psig Axiai Membrane Stress Dne to~Press e:

                        =P *D; /(4t)
                        = (1300 psi)(7.25 in) /(4 '.313 in)
                        = 7528 psi CALC. NO.                                                        Rev.

9-11-1997 3sGSPM FROM 11PR ASSQCIATES INC 783 519 822(1 P. 22 s MPR Associates, inc. MMPR 320 King Street Alexandria, VA 223t4 Calculation Prepared By Checked By Page 7 No.'85-295-05 4C/~ r Cs S D T~hll Axial Force (FY Direction) = 1562 lbs Cross Sectional Area = 6.81 in'. Axial Stress'(F / A) = 229 psi Bending Moment (SRSS of Mx and MZ) ~ 8493 ft-lbs Section Modulus 11.33 ln Bending Stress (12 M/Z) = 8995 psi Total Thexmal Membxane + Bending Stress 9224 psi S* D ~Di ll Axial Force (FY Direction) = 357 lbs Cxoss Sectional Area = 6.81 in' Axial Stxess (F/A) 52psi Bending Moment (SRSS of Mx and MZ) = 1185 ft-lbs Section Modulus = 11.33 ln Bending Stress (12 M / Z) = 1255 psi

                                .Total Seismic Membrane + Bending Stress       = 1307 psi 2 X Total Seismic Stress                      = 2614 psi Combined Pressure and Thermal Stresses (for Startup and Shutdown. Cycles)
                                 = 7528 psi + 9224 psi
                                 = 16752 psi Combined Pressure Thermal and Seismic Stresses,
                                 = 7528  psi + 9224 psi + 2614 psi
                                '= 19366  psi CALC. NO.              ~f4'sz- <<ohio                    Page Rev.

4~ 8-11-1997 3:GSPM FROM MPR ASSQQtATES INC 783 519 8224 P. 23 MPR Associates, Inc. tAMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepar d By Checked By 085-295-05 ~~/zCc~ Page 8 4.3 C cl Stress Definition A diagram of the cycling process is shown in Figure 1. For the first 253 of the assumed 154 startup and shutdown cycles, the alternating stress will be the combined pressure plus thermal stress of 16752 psi. For the last startup cycle, numbex 154, the first half of the cycle will include the fixst seismic cycle stress. The total pxessure plus thermal stress plus seismic stress is 19366 psi. The nine remaining seismic cycles are assumed to occur during the peak thermal and pressure loading, so the stress range for these cycles is just the seismic stress range of 2614 psi. The flaw size following each cycle considered is shown on the spreadsheet in the final six pages of this calculation. Thc final flaw size is 0.0699 inches. The ratio of the final flaw depth to thc overlay thickness is 0.0699 inches /0.313 inches = 0.22. 4.4 Com arison with Allowable Final Flaw De th

The allowable final flaw size shown in Table IWB-3641-5 is a function of two parameters, the Stress Ratio, and the Ratio of Flaw Length to Pipe Circumfexence. These parameters are determine'd as follows: Stress Ratio = M(P+ P, +.P, /2.77)/S M = 1.0 (for SMAW c 24 inches OD) S= 16.67 ksi (Reference 3, Attachment 1) P = membrane stress due to pxessuxe plus seismic

                            .= 7528 psi + 2614 psi
                             = 10142 psi P~   = conservatively combinedwithP
                             ~ Opsi P,-  = thermal stress
                             = 9224 psi Stress Ratio      = 1.0(10142 psi + 0 psi + 9224 psi/2.77) /16670 psi
                      = 0.81
                                                                                        ~3 NO          3 I 4 33      rgoio--             Page Rev.

, 8-11-1997 3:891'M FRCN W R <SSOCt>TES INC 783 519 822~ MPR Associates, Inc. WMPR 320 King Street Alexandria, VA 22314 Calculation No. Checked Sy Page 9 085-295-05 For a Stress Ratio of 0.81, and Flaw Length to Pipe Circumference Ratio of 1.0, the allowable fiiialflaw size depth to thickness ratio is interpolated from Table 1%8-3641-5 as 0.29, which is greater than the calculated final law depth ratio of 0.22.

5.0 REFERENCES

ASME Code Case N-504, Alternative Rules for Repair of Class 1, 2, and 3 Austenitic Stainless Steel Piping, Section XI, Division l. MPR Calculation 085-295-01, "Stresses for Input to Program SSFLAW." 3., MPR Calculation 085-295-02, "SSFLAW Ovexlay Size."

4. NMPC Weld Recoxd for 33-FW-9702246-02'Repair.

5. ASME Code Section XI, 1986 Edition.

6. SVPERPIPE Output - electronic copy, Calc. S14-33.3P01 Revision 02, Attachment A, input File 033.X.

7. NMPC Work Order No. 97-02246-02, Detailed Workplan, page 9, step 2.1.

8 NUREG-0313, Revision 2, Technical Repoxt on Material Selection and Pxocessing Guidelines for BWR Coolant Pressure Boundary Piping-Final Report," published January 1988. Page~~ Rev. 0

, 8-11-1997 3:86PM FROM MPR ASSOC(ATES INC 7@3 519 @224 P. 25 iirMI Calculation No. I MPR AssocIates, Inc. 320 King Street Alexandria, VA 22314 Checked By Page 10 085-295-05 Page -7 CALC. NO. Rev.

Calculation No. 085-295-05 cn I I Flaw Size Tncremettt for Each Cycle co tO Cycle Flaw Size at Correction Factors Applied Stresses Delta K da/dN End of Cycle Number Start of Cycle (inch) (unitless) (Rsi) (Icsi- (inch Flaw Depth Depth Length Mm "Mb Membrane Ilending rootinch) per cycle) (inch) Initial 0.062S00 22.$ 1.5 0.8 16.8 12.484S 0.000040 0.062540 I 0.062540 22.8 1.5 0.$ 16.8 I2.4885 0.000040 0.062580 l 2 0.062580 22.8 1.5 0.$ 16,8 12.4925 0.000040 0.062620 CO .3 0.062620 22.8 1.5 0.8 16.8 12.4965 0.000040 0.062661 0.062661 22.8 1.5 0.8 16.$ 12.5005 0.000040 0.062701 5 0.062701 0.$ 16.8 12.5045 0.000040 0.062741 0 6 7 0.062741 0.0627 S2 22.$ 2? S 15 15 0.8 0.8 16.8 16.8 12.5086 12.S 126 0.000041 0.000041 0.062782 0.062823 12.5 167. 0.000041 0.062863 O 8 0.062823 22.8 15 0.8 16.8 O 9 0.062863 22.8 15 0.8 16.8 12.5207 0.000041 0.062904 IO 0.062904 22.8 0.8 16.8 12.5248 0.000041 0.062945 m 0.062945 22.S 15 0.8 16.8 125288 0.000041 0.062986 12 0.062986 15 0.8 16.4 12.5329 0.000041 0.063027 13 0.063027 22.S 15 0.8 16.8 125370 0.000041 0.063068 14 0.063068 22.$ 15 0.8 16.8 125411 0.000041 0.063109 I 15 0.063109 22.S 15 0.8 16.8 125451 0.000041 0.063150 16 0.063150 22.8 15 0.8 16.$ 125492 0.000041 0.063 I 91 17 0.063191 22.8 15 0.8 16.$ 12.5533 0.000041 0.063233 D 0.063274

            -1$    0.063233        22.8  15                       0.8            16.8                     125S75    0.000041.

D 19 0.063274 22.8 1.5 0.8 16.$ 125616 0.000042 0.063316 IQ 20 0.063316 22.8 1.5 0.8 16.8 125657 0.000042 0.063357 21 22 0.063357 0.063399

22.8 22.8 1.5 1.5 0.8 0.8 16.$ 16.$ 125698 12.5740 0.000042 0.000042 0.063399 0.063441 be 33 0 125781 0.000042 0.063483 CD Dl 23 0.063441 22.8 1.5 0.8 16.$ CQ ~ cD 24 0.063483 22.8 1.5 0.8 16.$ I? SS23 0.000042 0.063525 25 0.063525 22.8 1.5 0.8 16.8 12.5864 0.000042 0.063567 26 0.063567 22.8 1.5 0.8 16.$ 12.5906 0.000042 0.063609 27 0.063609 22.8 1.5 0.& 16.$ 12.5947 0.000042 0.063651 2$ 0.063651 22.8 15 0.8 16.$ V 5989 0.000042 0.063693 29 0.063693 22.8 15 0.8 16.$ 12.6031 0.000042 0.063736 Page ~(

e Calculation No. 0$ 5-295-05 tn I I Cycle Raw Size at Correction Factors Applied Stresses Delta K da/dN End of Cycle Number Shrt uf Cycle (loch) (unitless) (icsi) (ksi- (inch Flaw Depth io Depth 'Length Mm Mb Membrane Bending rootinch) per cycle) (inch) 30 0.063736 LS 0.8 16.8 12.6073 0.000042 0.063778 31 0.063778 15 Q.8 16.$ 12.6115 0.000043 0.0638?. 1 32 0.063821 22.8 1.5 0.8 16.8 12.6157 0.000043 0.063863 0.063906 O 33 34 0.063863 0.063906 22.8 22.8 15 1.5 0.8 0.8 16.$ 16.8 12.6199 12.6241 0.000043 0.000043 0.063949 35 0.063949 22.8 13 0.$ 16.8 12.6284 0.000043 0.063992 I 36 0.063992 - 22.8 1$ 0.$ 16.8 12.6326 0.000043 0.064035 CO 37 0.064035 22.8 ld 0.8 16.8 12.6368 0.000043 0.064078 38 0.064078 22.8 1.5 0.8 16.8 12.6411 0.000043 0.064121 G 39 40 0.064 121 0.064164 22.$ 22.8 13 1.5 0.8 0.8 16.8

                                                                                     '6.8 12.6453 12.6496 0.000043 0.000043 O.Q64164 0.064207          O O

41 0.064207 22.$ 1.5 0.8 16.8 12.6539 O.OOQ043 0.064251 42 0.064251 22.S 1.5 0.8 16.8 12.6581 0.000043 0.064294 l Pl 43 0.064294 22.$ 1.5 0.8 16.8 12.6624 0.000044 0.06433 S to 44 0.064338 22.8 1.5 0.8 16.$ 12.6667 0.000044 0.0643&1 Z 45 0.064381 .1.5 0.8 16.8 12.6710 0.000044 0.064425. n

        '46   0.064425        22.S   1.5                      0.8              16.$                       .12.6753 . O.OOOO44    0.064469 6) 47   0.064469               1.5                      0.$              16.$                     '2.6796       0.000044    0.064513          td 48   0.064513        22.8   1.5                      0.8              16.$                        12.6839    0.000044    0.064557          Ul 49   0.064557        22.8   1.5                      0.8              16.8                        12.6$ S3   0.000044    0.064601          t0 50   0.064601        -22.8  ld                       0.8              16.$                        12.6926    0.000044    0.064645          G IV 51   O.Q64 645        22.S  1.5                      0.8              16.8                        12.6969    0.000044    0.064689          lV 52   0.064689         2? 8  13                       0.8              16.8                        12.7013    0.000044    0.064734 53  0.064734         22.S  1.3                      0.8              16.8                        12.7056    0.000044    0.064778 54  0.064778         22.S  I.S                      0.8              16.8                        12.7100    O.OOO045    0.064823 55  0.064823         22.$  1.5                      0.8              16.8                        12.7144    0.000045    0.064 S68 33    D                                                        0.8              16.8                        12.7187    0.000045    0.064912 Cb         56  0.064868         22.8  1.5 C    CQ 57  0.064912         22.$  1.5                      0.8              l6.8                        12.7231    0.000045    0.064957 CD 58  0.064957               1.5                      0.8              16.8                        12.7275    0.000045    0.065002 0.8                                          12.7319    Q.I$ 0045   0.065047 g vj 59  0.065002         22.8  1.5                                       16.S 60  0.065047         2o 8  1.5                      0.8               16.$                       l2.7363    0.000045    0.065092 61  O.t) 65092             1.5                      0.8              16.$                        12.7407    0.000045    0.065137 Page  I 7.

Calculation No. 085-295-05 R I I Cycle Flaw Siae at Correction Factors Applied Stresses Delta K da/dN End of Cycle Number Start of Cycle (inch) . ~ (unitless) (ksi) (ksi- (inch Flaw Depth U) Depth Length Mrn . Mb Q Membrane Sending root inch). per cycle) (inch)

"                                                                                                    12.7452        0.000045              0.065183 62   0.065137        22.8        15                          0.$            16.$                                                    .

63 0.065183 223 15 0.$ 16.8 12.7496 0.000045 0.06522$ 64 0.06522$ 22.8 13'3 0.$ 16.8 12.7540 0.000045 0.065273 65 0.065273 22.$ 0.$ , 16.8 12.7585 0.000046 0.065319 66 0.065319 22.$ 0.8 16.S 0.000046 0.065365 1.5'.5 12.7629'2.7674 67 0.065365 22.$ 0.8 16.8 0.000046 0.065410

68 0.065410 22.$ 1.5 0.8 16.8 12.7719 0.000046 0.065456 69 0.065456 22.S 1.5 0.8 16.8 12.7763 0.000046 0.065502 70 0.065502 22.$ 1.5 0.8 16.8 12.7808 0.000046 0.065548 71 0.065548 22.8 1.5 0.8 16.& 12.7853 0.000046 0.065594 72 0.065594 22.8 1.5 0.8 16.8 12.7898 0.000046 0.065641 0 12.7943 0.000046 0.065687 0 73 0.065641 22.8 1.5 0.8 16.$ l> 0.065687 22.8 15 0.8 16.$ 12.7988 0.000046 0.065733 74 m 75 0.065733 15 0.$ 16.$ 12.8034 0.000047 0.065780 U) 76 0.065780 22.8 13 0.$ 16.8 12.$ 079 0.000047 0.065827 Z 77 0.065827 22.8 ld 0.$ 16.$ 12.S124 0.000047 0.065 S73 0 7S .0.065873 22.8 13 0.8 16.$ 12.S 170 0.065920 0.000047'.000047 l9 0.065920 22.8 13 0.8 16.8 12.8215 0.065967 4) 79 80 0.065967 22.8 1.5 0.8 16.8 12.8261 0.000047 0.066014 Ql 81 0.066014 22.S 1.5 0.8 16.8 12.$ 307 0.000047 O.Q66061 tO 82 0.066061 22.$ 1.5 0.8 16.8 12.S352 O.QQQQ47 0.06610S IQ 83 0.066108 22.$ l.5 0.8 16.8 12.8398 0.000047 0.066156 IV 84 0.066156 22.$ '.5 0.8 16.8 12.8444 0.000047 0.066203 0.066203 22.$ 1.5 0.8 16.8 12.8490 0.000048 0.066251 85

                        ~D.S        1.5                        0.8             16.8                   12.8536        0.000Q48             0.066298
   $6  Q.Q66251 0.066298                     1.5                        0.$             16.$                   12.8583        0.000048             0.066346 87 0.066346         ~%.8       1.5                        0.$             16.$                   12.8629        0.000048             0.066394 SS 22.8       13                         0.$             16.$                   12.8675        0.000048              0.066442 89   0.066394 0.066442         22.8       1.5                        0.8             16.$                   12.8722        0.000048              O.o66490 90 0.066490         22.8       1.5                        0.$             16.S                   12.$ 768        0.000l)48            0.066538 91 92   0.066538         22.8       1.5                        0.$              16.$                  12.$ 8 l5       0.000048             0.066586 0.066586         22.$       1.5                         0.$             16.$                  12.8&61         0.000048             0.066635 93

Calculation No. 085-295-05 Cycle Flaw Size at Correction Factors Applied Stresses Delta K da/dN End of Cycle Number Start of Cycle (inch) (unitless) (ksi) (ksi- (inch Flaw Depth Depth Length Mtn Mb Membrane Bending root inch) per cycle) (inch) 94 0.066635 22.8 Id 0.8 16.$ 12.890$ 0.000048 0.066683 95 0.066683 '22.8 Id 0.$ 16.8 12.$ 955 0.000049 0.066732, 96 0.066/32 22.8 ld- 0.8 16.8 12.9002 0.000049 0.0667SO 97 0.066780 22.8 1.5 0.8 16.8 12.9049 0.000049 0.066829 98 0.066829 22.8 ID 0.8 16.$ 12.9096 0.000049 0.066878 99 0.066878 22.8 1.5 0.$ 16.$ 12.9143 0.000049 0.066927 100 0.066927 22.$ 1.5 O.S 16.8 12.9191 0.000049 0.066976 101 0.066976 22.8 1.5 0.8 16.8 12.9238 0.000049 0.067025 102 0.067025 22.$ I.S 0.8 16.8 12.9285 0.000049 0.067075 103 0.067075 22.$ 1.5 0.$ 16.8 12.9333 0.000049 0.067124 104 0.067124 22.$ 1.5 0.8 16.8 12.9381 0.000050 0.067174 105 0.061174 22.8 1.5 0.$ 16.S 12.9428 0.000050 0.067223 106 0.067223 22.$ 1.5 0.8 16.8 12.9476 0.000050 0.067213 107 0.067273 22.$ 1.5 0.8 16.8 12.9524 0.000050 0.067323 108 0.067323 22.$ . 1.5 0.8 ~ 16.8 12.9572 0.000050 0.067373 109 0.067373 22.$ 1.5 0.8 16.8 12.9620 0.000050 0.067423 110 0.067423 22.S . 1.5 0.8

                                                                               '6.8 12.9668   0.000050    0.061473 111  0.067473                  1.5                       0.8             16.8                      .12.9117   0.000050    0.067523 112  0.067523         22.8     Id                        0.8             16.8                       12.9765   0.000050    0.067574 113  0.067574         22.8     1.5                       0.8             16:8                       12.9813   0.000051    0.067624 114  0.067624         22.8     1.5                       0.8             16.8                       12.9862   0.000051    0.067675 115  0.067675         22.8     ld                        0.8             16.8                       12.9910   0.000051    0.067126 116  0.067726         22.8   '.5                         0.8             16.$                       12.9959   0.000051    0.067776 117  0.067776         22.8     1.5                       0.$             16.$                       13.0008   0.000051    0.067827 11$  0.067$ 27        22.8     1.5                       0.$             16.$                       13.0057   0.000051    0.067878 119   0.067878        22.8      1.5                      0.8             16.S                       13.0106   0.000051    0.067930 120   0.067930         22.8                              0.$             16.$                       13.0155   0.000051    0.067981 121   0.067981         22.$    1.5                       0.8             16.$                       13.0204   0.000051     0.068032 122  0.068Q32         22.$     1.5                      O.S             16.$                       13.0253   0.000052     0.068084 123  0.068084         22.8     1.5                      0.$             16.$                       13.0303   0.000052     0.068136 124  0.068136         22.$     1.5                      0.$             16.$                       13.0352   O.Q00052     0.06S 187 125  0.068187         22.$     1.5                      0.8             16.$                       13.0401   0.000052    0.068239 I

Page Q

Calcuhtion No. 085-295-05 Cycle Fhw Size at Correction Factors Applied Stresses Delta K da/dN End of Cycle Number Start of Cyme (inch) (nnitless) (ksl) (ksi- (inch Flaw Depth Depth Length ~ Mb Q . Membrane ilendlng root inch) per cycle) (inch) 126 0.068239 2? 8 1.5 0.8 16.$ 13.0451 0.000052 0.068291 127 0.068291 22.$ 1.5 0.8 i6.8 13.0501 0.000052 0;068343 128 0.068343 22.8 1.5 0.8 16.8 13.0551 0.000052 0.068396 129 0.068396 22.S 15 0.$ 16.$ 13.0600 0.000052 0 068448 130 0.068448 22.8 - 1.5 0.8 16.8 13.0650 0.000052 O.Q68500 131 0.06SSQQ 22.8 15 0.$ 16.8 13.0701 0.000053 0.068553 132 0.068553 22.8 15 0.8 16.8 13.0751 0.000053 0.068606 133 0.068606 22.8 15 0.$ 16.8 13.0801 0.000053 0.068659 XI 134 0.068659 22.8 15 0.8 16.8 13.0SSI 0.000053 0.068712 135 0.068712 22.8 15 0.8 16.$ 13.0902 0.000053 0.06S765 M M 136 0.068765 22.8 1.5 0.8 16.8 13.0952 0.000053 0.068S 1$ 0 13.1Q03 0.000053 0.068871 0 137. 0.068818 22.8 1.5 0.8 16.8 138 0.068871 22.8 1.5 0.8 . 16.$ 13.1054 0.000053 0.068925 l Pl 139 0.068925 22.8 1.5 0.8 16.$ 13.1105 0.000054 0.068978 U) 140 0.068978 1.5 0.8 16.8 13.1156 0.000054 0.069032 141 0.069032 22.8 1.5 0.8 16.8 13.1207 0.000054 0.069086 142 0.069086 22.$ 1,5 0.$ 16.8 13.1258 O.OQQOS4 0.069140 143 0.069140 22.S 15 0.8 16.8 13.1309 0.000054 0.069194 144 0.069194 22.8 1.5 0.8 16.$ 13.1360 0.000054 0.069248 145 0.069248 22.8 1.5 0.8 16;8 13.1412 0.000054 0.069302 146 0.069302. 22.$ 1.5 0.8 16.8- 13.1463 0.000054 0.069357 147 0.069357 22.$ 1.5 0.8 16.$ 13.1515 0.000055 0.069411 14$ 0.069411 22.S '.5 0.8 . '6.$ 13.1567 0.000055 0.069466 149 0.069466 22.$ 1.5 0.$ 16.8 13.1619 0.000QSS 0.069521 150 0.069521 22.8 1.5 0.$ 16.$ 13.1671 0.000055 0.069576 151 0.069576 22.8 1.5 0.8 16.8 13.1723 0.000QSS 0.069631 152 0.069631 22.8 1.5 0.$ 16.8 13.1775 0.000055 0.069686 153 0.069686 22.$ 1.5 0.8 16.8 13.1827 0.000055 0.069742 154 0.069742 22.$ 15 0.8 19.4 15.2289 0.000131 0.069872 155 0.069872 22.$ 1.5 0.8 2.61 2.0508 0.000000 0.069872 156 0.069872 ~D.S 1.5 0.8 2.61 2.0508 0.000000 0.069872 157 0.069872 22.$ 1.5 0.8 2.61 2.0508 0.000000 0.069S72 Patte ~~

CalculaIIon No. 085-295-05 Cycle Flaw Size at Correction Factors Applied Stresses Delta K da/dN End of Cycle Number Star t of Cycle (inch) (uui tless) (hd) (ksi ~ (hIch Flaw Depth

             , Depth         Length    Mm     . Mb                      ,Membrane         Bending rootinch) per cycle)  - (inch) 158   0.069872         22.8  , 1.5                      '0.8            2.61                    2.0508  O.OX000      0.069872 159   0.069872         22.8    1.5                       0.8            2.61                    2.0508  0.000000     0.069872 160   0.069 B72        22.8    1.5                       0.8            2.61                    2.050 S 0.000000     0.069872 161   0.069872         22.&    15                        0.8            2.61.                   2.0508  0.00X00      0.069872 162   0.069872         22.S    13'3                      0.8            2.61                    2.0508  0.000000     0.069872 163   0.069872         22.8                              0.8            2.61                    2.0508  0.000000     0.069872 Final Slaw Depth:            0.069872         inches Zl  "0 CD CO

~ Q page l(

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