tBMPR Page IrIc CALC. NO.8-11-1997 2:CPM FRCM itPPt ASSOCIATES INC 783 519 8224 P.2 tBMPR...
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8-11-1997 2:CPM FRCM itPPt ASSOCIATES INC 783 519 8224 P.2 tBMPR AssocIATlis IrIc E N & I N S 5 R S CALC. NO. Page 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 Approved by SV/- 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 p5pp0220 I pDR ADQCK pDR p
Transcript of tBMPR Page IrIc CALC. NO.8-11-1997 2:CPM FRCM itPPt ASSOCIATES INC 783 519 8224 P.2 tBMPR...
8-11-1997 2:CPM FRCM itPPt ASSOCIATES INC 783 519 8224 P.2
tBMPRAssocIATlis IrIcE N & I N S 5 R S
CALC. NO.Page
Rev.
Evaluation of Overlay for RWCUWeld 33-FW-22
MPR-1864Revision 0
AUgUSt 11, ]997
QUAUTYASSURANCE DOCUMENTThis document has been prepared, reviewed, andapproved In accordance with the Quality Assurancerequirements ot.tOGFR50 Appendix 8, as specifiedin the MPR Quality Assurance Manual.
prepared by
Reviewed by
Approved bySV/-
Ia'repared
For
Nagara Mohawk Power CorporationP.O. Box 63
Lycorning, NY 13093
320 IQIIc: STIISKT ~ AI.SXANQIIIA. VA 223 I 4<230 703%19%200 FAX: 703<1 0 0224
p5pp0220 I
pDR ADQCK pDRp
~8-11-1997 2t~71'M FROM MPR ASSOCIATES INC 783 519 8224 P.3
vwsMPRKNWIHQSRS
CONTENTS
Section
1 BACKGROUNDANDPURPOSE
2 ANALYTICALEVALUATION
3 SUMMARY
'ae4 REFERENCES.
5 APPENDICES
Appendix A MPR Calculation 085-295-03
Appendix B MPR Calculation 085-295-04
Appendix C MPR Calculation 985-295-05
A-1
CALC. NO.Page
. Rev.
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NUCLEARENGINEERING
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Section 1
BACKGROUNDANDPURPOSE
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 ofweld 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 torepair 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 twoanalytical 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 ofweld overlay shxinkage.
A summary is provided in Section 3, and xefexences in Section 4,
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Section 2
ANALYTlCALEVALUATION
2.1 CODE CASE N-504, SECTION (g)(2)-POSTUI ATED FLAWFATIGUEEVALUATION
Code Case N-504, Section (g)(2) (Reference 1) states that the requirements of IWB-3640from the 1983 or later ASME 8&PV Code (Reference 5) shall be satisfied for the designlife of the overlay repair, considering potential flaw gxowth due to fatigue and themechanism believed to have caused the flaw. Additionally, when structural credit is takenfor SMAWweld 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 StressCorxosion Cracking (SCC). The delta ferrite content of the weld overlay (308L or 309L) isat 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 issusceptible to SCC This evaluation therefore assumes that the first weld pass (minimum1/16 inch thick) is cracked 1/16 inch deep, 360'round its circumference, at the start of thisevaluation. A fatigue fiaw evaluation, in accordance with Appendix C ofASME B&PVCode Section XI (Reference 5), is performed for the remaining 4/16 inch thickness of theoverlay (which is not susceptible to SCC). Note that this evaluation considers the 5/16 inchweld overlay to be the only load carrying.portion of the weld overlaid pipe, i.e., nostructural credit is taken for the pipe.
The fatigue fiaw growth analysis for an assumed initial flaw through the first weld pass ofthe 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 flawgrowth study is performed as follows:
~, The number of fatigue cycles is determined. Based on past experience, NMP-1 willlikely experience no more than five startups and shut downs per year. Forconservatism, 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/shutdowncycle includes a change in the RWCU system pressure from 0 psi to the system design
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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 overturningmoments at the weld overlay does not use the design tempexature. The largest analforce and overturning moments occur at the weld overlay when all piping (includingthe 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 thermalloading conditions are the same fox all thermal loading conditions evaluated. It is
therefoxe appropriate to define the thermal cycle stxess range as the differencebetween 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. Theten 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 topositive) 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 formembrane and bending stresses for the thermal portion of the startup/shutdowncycles, 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 flawwith a depth equal to the thickness ofthe first pass of the weld overlay (0.0625"). The incremental flaw growth da/dHcorresponding 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.
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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 constantvalues 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 appropriatebecause 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 inFigure A-4300-1 of Section XI (Reference 5);
—~ 1.20x10 '(M',)'"dN
where da/d¹s expressed in micro-inches per'cycle and dK, is in ksi-root inches. Thisrelationship uses the high stress ratio curve for alloy steel water reactor environmentsurface 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 inFigure 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 of2614 psi.
The flaw size followingeach 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.
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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 Ratioof 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 OVERLAYSHRINKAGE
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 ConstructionCode.
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 maximumstress'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 ofMaximum Stress in RWCU S stem due to Weld Shrinka e
The ANSYS structural analysis computer code, Version 5.3, was used to develop a finiteelement 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. Themodel 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 negativeY-direction.
The maximum RWCU system stress for the combined (by SRSS) stresses resulting frombending moments in the three oxthogohal directions is 2161.6 psi. The stress at the weld
overlay is 657.9 psi.
2.2.2 valuation ofMaximum 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 III1980 (Reference 6). This evaluation is performed in accordance
with Subsection NC-3600 of the ASME Code.
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The ASM@ Code requirements for stress analyses considers two types of stresses: Primaryand 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., thermalor 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 Secondarystresses separately. Subsection NC-3652.3 includes a provision (Equation 12) for evaluatingthe Secondary stress due to a "single nonrepeated anchor movement." SubsectionNC-3652.3 Equation 12 is appropriate for evaluating the stresses due to the one-timedisplacement (anchox motion) imposed on the RWCU piping by weld overlay shrinkage:
—s 3.0$iMD
z C
where M = resultant moment due to any single nonxepeated anchor movement, in-lbDZ = section modulus, in'
= stress intensification factorS, = 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 weld33-FW-22, are within the applicable stress limits of the Construction Code.
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wwlMPR6HCINEERS
Section 3
'QMMAR7
The weld overlay repair of RWCU weld 33-FW-22 meets the requirements of ASME CodeCase N-504 Sections (g)(2) and (g)(3) as follows:
Section 2 -Postulated Fati ue Flaw Evaluation-A postulated initial flaw throughthe first weld pass of the overlay (360'around the overlay) is calculated to grow intothe remaining weld overlay thickness less than the allowable depth specified byASME Section XITable 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 theASME Section IIIallowable stress of 45~000 psi in SA106 Grade B piping due to a
one-time anchor motion.
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fAHMPRASSOCIATES INC.RN| INEEAS
CALC. NO.Rev.
Section 4,
REFERENCES
1. ASME Code Case N-504, Alternative Rules for Repair of Class 1, 2, and 3 AusteniticStainless 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," publishedJanuary 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.
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PilMPR8 N CI I N E E R S
CALO. NO. <t4 —zz- thoroPage 12.
Rev.
Section 5
APPENDICES
Appendix A
Appendix 8
Appendix C
MPR Calculation 085-295-03
MPR Calculation 085-295-04
MPR Calculation 085-295-05
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w~3MPRENCINEERS
CALC. NQ. <4-~z-r proPage />
Rev.
Appendix A
MPR Calculation 085-295-03
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MPR Associates, inc.320 King StreetAlexandria, VA 223t4
GALCULATIONTITLE PAGE
Client Niagara Mohawk Power Corporation Page 1 of 5
Project NMP-1 RWCU Line Crack - Code Case N-504 EvaluationTask No.
085-295
Title Calculation of Stresses in RWCU System Due to Weld Overlay, Shrinkage
Calculation No.
085-295-03
Preparer/Date Checker/Date Reviewer/Approver/Date Rev. No.
g.J2. /A~C~m0.p:
QUAI ITYASSURANCE DOCUMENT
This document has been prepared, checked, and reviewed in accordance with the Quality Assurancerequirements of 10CFR50 Appendix B, as speciTied in the MPR Quality Assurance Manual.
CALC. NO.Page~~
Rev.
$3-11-1997 11.-26AM FROM MPR QQSOQIPTE9 [NQ 783 5]9 @224
/LlMPRRECORD OF REVISIONS
MPR Associates, Inc.320 King StreetAlexandria, VA 22314
E
Calculation No.
085-295-03
Revision
Q77~mDescription
Page 2
Initial Issue
Page
Rev.
.8-11-1997 11:26AM FRCN MPR PSSPPtATE9 tNP 783 519 822cL
rAMPR MPR Associates, Inc.320 King StreetAlexandria, VA 22314
Calculation No.
085-295-03
Prepared Sy
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1.0 PURPOSE
The purpose of this calculation is to determine the effects ofweld overlay shrinkage at weld33-FW-22 on the NMP-1 Reactor Watex Clean Up (RWCU) system. Stresses due to weldshrinkage are determined for:
(1) the highest stress location within the system, and(2) the location of the weld overlay.
2.0 RESULTS
Asummary table of stxesses due to weld overlay shrinkage for all elements in the pipingmodel is shown in Attachment A. Thc stresses shown are fox the combined (by SRSS)stxesses resulting from bending moments in the three orthogonal directions. StressIntensification 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 inthe 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 finiteelement model of the portions of thc RWCU system that could be affected by shrinkage inthe weld overlay at the nozzle to the regenerative heat exchanger, weld 33-FW-22.
3.1 Pi in Model Geome
Aplot of the two RWCU piping runs affected by the overlay at weld 33-FW-22 is shown inFigure 1. The model was generated based on the NMPC model documented inReferences'1, 2, and 3.
Attachment B shows the entire ANSYS output file.
3.2 Material Proerties'he
piping in the portion of the Reactor Water Clean Up system modeled is 6-inch, SA106Grade B, Seamless Carbon Steel, Schedule 80, per References 1 and 2.
lf
CALC. NO.Page~~
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«~ ~~a ASSOCIATES INC 783 5t~ @224
TXIMPR MPR Associates, Inc:320 King StreetAlexandria, VA 22314
Calculation No.
085-295-03
Prepared By Checked By
Qww Page4
Figure 1.
ANSYS Piping Model Isometric
lCI
lSl
5'I
55 53
57
5\
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44'(( 77
CApC QQ g g z9- rvl d ioPage~~
Rev.
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WAMPRMPR Associates, Inc.320 King StreetAlexandria, VA 22314
Calculation No.
085-295-03
Checked ByPage 5
Material properties, consistent with References 1 and 2, include the following:
E = 27.9x 10'psi at 70'Fv =0.3
3.3 Structural Bounda Conditions
The model includes only the portion of the system that could be affected by shrinkage ofthe weld overlay'ocated at element 91, end J. Two runs axe incorporated in the ANSYSmodel, corresponding to runs 3 and 4 in the SUPERPIPE model, References 1 and 2. Boththe 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 toAuxiliaryClean Up Pump number 1. The othex end of the, horizontal run is anchored atelement 44, end J, which is far enough along in the model such that the effects of the weldshxinkage 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 negativeY-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
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Calculation No.
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Checked ByPage 1 of+
ATTACHMENTA
ANNOYS Output. Table
CALC. NO. Sf/ ZS-wo o-Page~~
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POSTl ELErDDe TABLE LISTING %wee ~ PAGE 2 of 2
STATEIEM
12345679
1113151617le19202122232526272930313233343536373941434445464748495051525355565758606265686970717273747677781980el828384858687889091929394
MIXEDSMZ
639.64598.12639.64627.40324. 12435.06383.4988.00625.54481. 396223e50218.85206.78203.69206.77205.07196. 85199 '8197.07197,08198.80201.81204.35191. 41203.0619S. 59171 ~ 4 5177. 03174.36171.43151. 83108.7896 '4692.89822 '9335.49029.4031067. 9553.5763'2485.941010.11043 ~ 81120.1903.02395.69834.82538.801058.51124.72161. 6371.94586.50497.40542.65281. 37648 '8618.11199 o37342.89342. 81205.02243 F 50335.83171. 72177. 82171.19176. 86177.54187.18195. 62372.64657 '0639.641067. 9657.90
MIXEDSMJ
639.6443S.06627.40598. 1288.006383' 49324.1225.54481. 396223.50218. 85206.78206.77199. 68205.07203e69197.08197.07196. 85198.80201.81204.35 .
203.06177.03198. 59191 ~ 41171. 43114. 36171.45151.83lbs.7896.84692.89835a49022.52429.403-22.493637.82,1043. 8485.94553 F 51903.021120.11010.7834.821058.5538.80395'691124.72161.6371. 94497.40648.48542.65586.50199.37618.71281. 3'7
243.50342. 81205.02171.72335.83342 '9171. 79187.18176. 86177. 82372.64195.62177 ~ 54215. 77657.90639.641265.8745.32
MIXEDSPAGTZ
1.00001. 00001.6428l. 64281. 00001. 00001.00001.00001.00001.00001.00001.00001. 00001. 00001.64281. 64281.00001.00001.00001.0000l. 0000
,1. 00001 F 00001.0000l.00001.00001.00001:64281.64281.00001.00001.00001.00001. 00001.00001.0000,1.00001.00001.00001 ~ 64281.64281.0000l. 6428l. 64281,00001.00001. 00001.00001.00001.00001.00001.00001.00001.00001. 00001 ~ 00001. 00001. 00001. 00001. 0000l. 00001. 00001.64431. 64431 ~ 00001. 0000
. 1.64281. 64281.00002. 15272. 1S271.00001. 00001. 24601. 24601.2460
MIXEDSPAGZU
1.00001 ~ 00001.64281.64281.00001 ~ 00001.00001.00001.00001.00001.00001.00001.0000l. 00001.64281.64281 F 00001.00001 F 00001.00001.00001.00001. 00001. 00001.00001.00001. 00001 ~ 64281. 64281 ~ 00001.00001.00001.00001. 00001 ~ 00001.00001.00001.0000i+oooo1. 64281.64'281. 00001. 64281.64281.00001.00001.00001.00001. 00001.00001. 00001.00001.00001 ~ 00001.0000l. 00001 ~ 0000l. OOOO
1. 09001.00001. 00001 ~ 00001. 64431 ~ 64431.00001.00001.64281. 64281.00002.15272.15271.00001. 00001.24601.24601.2460
MIMZMVMVALUESELEM 44VALUE 22.493
MAXIMUMVALUESELEM 65~ram>
4622.493
62>tKl.6
11.0000
872. l627
I1.0000
872.1527
F
CALC. NO. </K-S r -~~ Page
Rev.
8-11-1997 11:284M FROM htPR ASSPPyATES INC 783 519 822d P. 13
WMPR MPR Associates, Inc.320 King StreetAlexandria, VA 22314
Calculation No.
085-295-03
Prepared By Checked ByPage 1 of $7
ArrAeHMErmS
ANSYS Results
CALC; NO. -SS-ldll rdPage
Rev.
8-11-1997 11t28AM FROM MPR A99OC/ATE9 INC 783 519 8224 P. 14
Executing /ansys53/bin/usparc/ahsys.e53Z/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 IANSYS 5.3 NOTICES 0
eo 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 ANDNATURE OF USB, WARRANTIES, DISCLAIMERS AND REMEDIES, ANDOTHER PROVISIONSa .THE PROGRtur AND DOCUMBNTATZON MAY B'8"
'USED OR COPXKD ONLY IN ACCORDANCE WITH THE TERMS 08'HAT *LICENSE AGREEMENT.
copyright 1996 sas zpi xnc. Proprietary Data.Unauthorized use, distribution. or duplication isprohibited. All Rights Reserved.
e I 0 I r 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)PCGLSSt I inear Equations Solver
(c) Copyright 1992-1995 Coreputational Applications andSystole Integration Znc.
All rights Reserved.
cA&sx, 2004 s. wright st~eet. Urbana, XI 61821Ph (217)244 7875Fax (217) 244-7874
&SZ DOES tlOT GUARANTEE THE CORRECTNESS OR USBFULNBSS OFRESULTS OBTAINED USING PCGLSS ~ CA&SZ ZS NOT LZABLE FORCONCLUSIONS 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~ 09t21t27There are no parameters and no abbreviations defined.
40197CHG VERSXONsSOLARZS RELEASEe 5.3 UP071096FOR SUPPOPT CALL Edward Bird pHONE 703-519-0410 FAX 703-519-0224CURRENT QOBNANE file 09t21t27 AUG 08. 1997 CP~ 0.672
/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:12345
/BATCH, 11st/ filena+, rwcu/pre p7
material properties
np,ex,1,27.9o6Jvp,nuxy,1.0.3
10 PUNIT. 1
CALC. NO. <A->S -Moio
RUN SETUP PROCEDURE FROM FILE~ /ansys53/docu/start.ans
Page
Rev.
8-11-1997 11:29A~ FROM MPR ASSOCIATES INC 783 619 8224 P. 15
131415161718
2324252527282930313233343536373839404142434445464748495051525354
636465666768697071727374757677787980818283848586818889909192939495
67
BRANCH,IRUN,, 1+3+1/4RUM> 3+6» 3+6
RUN>,, -4~10
FSPRNG» >170>0,1>0PUN... -I+11+I/OPSPRNG...I.O,O,IRUN> ~ ~ 1~1+3/4PSPRNG, ~,1>-1>0 ~ 0RVN> ..-2~8il/4PSPRNG... Ie10, 0, 1. 0RUN.. ~ -0+ 9+ 1/4VALVE,,2,835/386.4..1RUN...-0+3+3/4RUN, -ITS+3/8,, -li8+3/8BWD... 0+9RON>-1~3BEND> ~ ,2+6PSPPXC...1,0>1,0RUN> I+5VALVE,.'2.485/385.4,,1>RUN, 1~5PSPRNG» ~ 680 '> I 0RUN> 1~5+1/2RUN, -Zt2+I/8, . 2+2+I/8
'ND»
~ 2+6RUN>..0+3+3/4BEND» ~ 0~9VALVE,,2,835/385.4. > IRUN» > 4~5~1/4PSPRNC...1 ~ 0 0> -1RUN> ~ > I+3PSPRNG... I, -1, 0. 0RUN» > 0+5PSPRNC» ~ 112>.0>1 0RVN...7+9+1/2RUN,-3, ~ 3BEND , ~ 2+6
! snubbers axe set at kal to vie ually eliminata
BRMfCH.IRUN» > 2~3RUN > ~ 3+2+ 1/2B'END» > 0+9RUN... I+ I+I/2BEND» ~ 0+9PSPRNC... 84, 0, I, 0RUN» > I+IO~I/2RUN,0+41. 237,0. 0+19-229BEND» > 2 + 6PSPRNG...l,'.906,0, .423RVN,Oil.813,0,0+ ~ 845PSPRNG,, ~ 112 ~ 0, 1,0RUN,0~27.869,0,0+12FSPRNG... Ie10. 0, I, 0PSPRNG...le10.0.423.0, 0.906RUN>4.532.0,2.113PSPRNC... Iel0, 0.l. 0PSPMQ... Ie10, 0. 423. 0, -0. 906RVN, 0+26. 283, 0, 0+12. 256RUN, 3+10BEND...2 'RW>>, 3BEND... 2+6FS PRNC... Ie10, 0, 0, 1RUN,, -2RUN>0~9VALVE,~ 2',835/386.4» IVALVE,,2~3+3/4.1100/386.4,, IBEND. ~ .0~8.988RUN,0+3+3/4RUN,O+9,,0+9BEND > ~ ~ 0 +9RUN.. -2BEND...O+6PSPRNG... Ie10, 1,0,0RVN» -2+7
BRANCH, IRUN» -0+4+1/10000
type of pipePOFT, b31. I
standard pepin% analysis foii~ino ANSI B31 I
9 TEE, I,NT... 0> 5+5/8, 0»5+5/8, 0+4A A >>
CALC. NQ. </4 -ZZ-My Pago
Rev.~
g-] 1-1997 11:29AM FROM )1PR ASSOCIATES INC 783 519 8224 P. 16
103104105106107108
i114115116117118119120121122123124125126127128129130131132133134135136137138139140141142
d,57,all,od, 121, all, 0d>122.all.od.122,uy,-.125
rmodi f,16, 3, I.2460, 1. 246O
/viau. I,I,I,1. 5eplotalla elnlistelistdlistsavefinish/solution
> outpr, basic, allantype, staticsolvesavefinish/postlfile.rucu, rstset,lastesel, s, type,. Iesel,a, type,,2esel, a, type, ', 4e eel > a, type» 5e table, smi, nmisc, 84e table. st. nmisc, 85 ~
etable, s facti, nmisc, 81enable.sfact),nmisc,82 ~
allselprctab. smi, smj, sfacti, sfactgsavefinish
CALt . NO. s'rX- s'z-r~oyg Page Z4
Rev.
CURRENT JOBNAME REDBFZNED AS rwcuI
~~ ANSYS - ENGINEERZNC ANALYSIS SYSTEM RELEASE,S ~ 3/MechanicalCHG VERSIONsSOLARIS 09s21:27 AUC 08. 1997 CP= 0.777
. SUPPORT CALL Edward Bird pHOBE 703-519-0410 FAX 703-519-0224
MATERIAL
MATERIAL
~~~~ ~ ABSYS ANALYSIS DBPZNITZON (PREP7)
1 EX » ~ 0.2790000E~08
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 COMMANDSPIBSULATE PCORROSION PSPEC
~~ STFJLIGNT PIPE MATBRIAL AND DIMENSION SPECIFICATION iiUSE MATERZAZ NUMBER IPIPE 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 NODEGLOBAL X,Y,Z ~
I0.
DEFINE A RUN OF STRAIGHT PZPBDX>DY,DZ 0.NUMBER OF EIE))ENTS e ISTARTINC ELEMENT NUMBER e
15.250 0 ~
ENDING NODE NUMBER ~ 2I INCRP U>))T» I
NODE 2 X,Y,Z, » 0TRAIGHT PIPE ELE))ENT I
NE A RUN OF STRAZCHT PIPEDX,DY,DZ ~ '2.000'Ill>>e» >>c'> olIc>Ypc
15 'NODES
0. IN,SYSTEM 0
0. 42.000PNDTvR; NDDR 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 TRANSPRZtfG CONSTANT ~ 0.10000EillDXrDYrDZ 12.000ELEJKNT tRJHBER r 14
ODE 19 X.Y,K - 42.0RZJJG ELEMEtlT 14 NODES '
tiE A RUtl OF STRAICHT .PIPEDX.DY,DZ < 0.RJJfBER OF EIKKHTS ~ 1STARTZNC ELEMENT NUMBER
27.218
-170 ~ Itf SYSTEM 019
0 ~ "9.2500ENDINC NODE NUMBER a 20
15 INCREMENT e 1
BODE 20 X.Y.Z e 42.0 15.2STRAZGffT PZFE ELEMENT 15 NODES
-179. Itf SYSTEtf 018 20
INSERT A VALVE AT NODE 20t EBCTH ~ 24.000MASS ~ 2.1610STRESS INTe FACTOR ~ 1.0000 FLBX. FACTOR eINSULATION AREA — AREA OF EQUAL LENGTH OF P1PEELEMENT tfUHBER ~ 16
COMPONENT TO BE LOCATED AT Etfo OF ELEMENT 15NODE 21 GLOBAL X, Y,Z 42.000 15. 250VALVE ELRCEBT 16 NODES ~ 20 21
1. 0000
202.75
DEFZBE A RUff OF STRAIGHT PIPEDXrDY,DZ < 0. 0. -3.7500tfUHSER OF ELEMENTS ~ 1 ENDING NODE NUMBER e 22STARTZNC Ef EJOrtfT NUMBER ~ 17 INCREMENT ~ 1
NODE 22 X.Y,Z e 42.0 15.2STRAIGHT PZPE ELEMENT 1'7 NODES
-206. ZN SYSTEM 021 22
D VINE A RUN OF STRAIGHT PIPE ~
DXr DY, DZ > -20. 375tfUJJSER OF ELEMENTS e 1STARTINC ELEifENT NUMBER =
0. -20.375ENDING NODE NUMBER ~
18 ZNCREHENT ~ 123
NODE 23 X,Y,Z ~ 21.6 15' -227 ~ IN SYSTEM 0STRAIGHT PIPE ELEMENT 18 NODES 22 23
RT CURVED PIPE ELEMENTS BETWEEN ELEMENTS 17 AND 18BErVD RADIUS ~ 9.0000JfoÃOER OF ELEMENTS a 2STARTINC ELEMENT tfUHSER a 19 INCREMENT a 1
BEND FLEXIBILITYFACTOR + ~ 4 '6911(tfo PRESSURB TERM USED)
BODB 24 GLOBAL X,Y,Z = 33.000tfODE 25 GLOBAL XrYrz ~ 42 000NODE 26 GLOBAL X;Y.Z 41.315CURVED PIPE ELEMENT 19 NODESNODE 2't GLOffhfr X Y,Z 39.364CURVED PIPE ELEMENT 20 "NODESSTRAIGHT PZPE ELEMENT 17 NEW NODES.STRAIGHT PZPB ELEMENT 18 NEW NODES
15.25015.25015.250
25 2615.250
26 272127
-202.77-202.77206.22
24209.14
242523
I)EFZNE A RUN OF STRAIGHT PZPEDX,DYrDZ > "15.000NotfSER OF EIMEtfTS ~ 1STARTING ELEMENT tfotmER—
0. 0.ENDING NODE NOHSER ~ 28
21 INCREMENT i 1
NODE 28 X,Y,Z ~ 6.62 15.2 -227r IN SYSTEH 0STRAZGMT PIPE ELEMENT 21 NODES 23 28
INSERT CURVED PIPE ELEMENTS BETWEEN ELEMENTS 18 ANDBEtfO RADIUS 30. 000NUMBER OF ELEMENTS ~ 2STARTZNC ELEMENT NUMBBR ~ 22 INCREMENT re 1
21
15. 25015.25015.250.
30 3115 ~ 250
31 322732
BEkfO FLEXIBILITYPACTOR ~ 1.22073{tfo PRESSURE TEJOf USED)
NODE 29 GLOBAL X Y.Z — 9.1986NODE 30 GLOBAL X,Y,Z I 30.412tlobE 31 GLOBAL X,Y,Z e 20 ~ 679CURVED PIPE ELEMENT 22 NODEStfOOE 32 GLOBAL X,Y,Z ~ 9.1986CURVED PIPE ELEMENT 23 tfODESSTRAIC11T PZPE ELKff5tfT 18 NEW NODESSTJrJI,ZGHT PIPE ELEMENT 21 NEW NODES
~ I I
~
~
I~
~
~
~1
CH A SPFING AT t1ODE 28 - TYPE i TRANSPRING CONSTANT rr 1 F 0000DX,DY,DZ 0: 12. 000 0.
196.88-218. 09-224.59
29-226.88
293028
CAt C. NO. ~~<- ~ -«pro Page
Rev. 0
8-11-1997 11t384M FROM MPR A9SPCIATES INC 783 519 8224
SPRING ELEMENT 24 tlODES 28 33
DEFlttE A RUtl OF STRAZGHT PIPEDX,DY.DZ i -17.000 0. 0.NUMMR OF ELEMttttTS' 1 ENDING hQDESTARTlttG ELMKCT NUMBER m 25 IttCttEMENT
E 34 X,Y,Z ii -10.4 ~ 15.2 -227 'N SYSTEM 0
ZGHT PZPK ELEMENT 25 NODES 28
INSERT A VALVE AT tiOOE 34LENGTH ~ 24.000MASS a 1.2584STRESS INT. FACTOR. ~ 1.0000 FLEX. FACI'OR ~ 1.0000ZNSULATZQN AREA = AREA OF EQUAL LENGTH OF PIPEELEMENT NUttBER > '6
COMPONENT TO BE LOCATED AT END OF ELEMENT 25ttODE 35 Gl,OBAL X.Y,Z ~ -34.375 15. 250VALVE ELEttEAT 26 NODES 34 35
-226.88
DEFINE A RUN OF STRAIGHT'IPEDX,DY,DZ -17.000 0. 0.tlUMB'ER OF ELEMENTS N 1 END HG NODE ttVMBER - 36STARTING ELEMENT NUMBER w 27 INCREMENT ~ 1
NODE 36 XiYiZ + 51 4 15.2 -227. IN SYSTEM 0STRAIGHT PIPE ELEMENT 27 NODES 35 36
AT,"ACH A SPRING AT NODE 36 TYPE TRANSPRING CONSTANT m, 680.00DX,DY.DL Ni 0. . 12.000ELEMENT NUMBER ~ 28
NODE 37 X,Y,Z ~ -51.4 ~
SPRING ELEMENT 28 NODES27,2
36"227.37
IN SYSTEM 0
-227. IN SYSTEM 036 38
NODE 38 X,Y.Z < -68.9 15.2STRAIGHT PIPE ELEMENT 29 NODES
~ ~
A RUN OF STRAIGHT PIPEDX,DY,DZ a 26.1251BJMBER OF ELEMENTS = 1STMtTZNG ELEMENT NUMBER ~
0. 26.125ENDING NQDE )PJMSER m 39
30 ZttCamZttT = 1
DEFINE A RUN OF STRAIGHT PIPEDX,DY>DZ ii 17.500 0. 0.NUMBER OF ELEMENTS e 1 ENDING NODB NUMBER ~ 38SYAKTIttG EI EiiT ttUMBER ~ 29 INCREMEttT ~ 1
'tlODE 39 X,Y,Z < -95 ~ 0STRAIGHT PZPE ELKttE-'tP 30
l.S. 2 201. IN SYSTEM 0HODES 38 39
INSERT CURVED PIPE ELEttEttTS BETWEEN ELEMiENTS 29 AND 30BEAD RADIUS ~ 30.000)ROBER Ol'lEMENI'S = 2SI'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 ~ -56.449NODE 41 GlOBAL X,Y,Z "56.449NODE 42 'GLOBAL X,Y,K 67.929CURVED PIPE El EMEttT 31 NODESNODE 43 GLOBAL X,Y.Z i -77 .662CURVED PIPE ELEMENT 32 NODESSTRAIGHT PIPE ELEMEAT 29 ttEW NODESSTRAIGHT PIPE ELEMENT 30 NEW NODES
15.25015.25015. 250
4), 4215 '50
42 433643
-196.88226.88
-224.5940
-218.0940
4139
DEFINE A RUN OF STRAIGHT PZPEDX.DY.DZ ii 0. 0. 3.7500ttUMBER OF EI.EHENTS ~ 1 ENDZttG tlODE NUMBER s 44STARTING ELEMENT NUMBER < 33 INCREMENT ~ 1
NODE 44 XiYiZ N -95 ' 15.2 -197. IN SYSTEM 0STRAIGHT PIPE ELEMENT 33 NODES 39 44
INSERT CURVED PIPE ELEttENTS BETWEEN ELEMENTS 30 ANDBFtlD RADIUS ~ 9.0000NUMBER OF ELEME)tiS ~ 2STARTING EL'EtENT NUMBER >. 34 Itl REMENT e 1
33
BEttD PLEXZBZLZTY FACTOR ~ 4.06911ttQ PRESStJRK TERM USED)
E 45 GLOBAL XiYiZ - 86i000E 46 GLOBAL X,Y.Z ~ -92.364
DE 41 GLOBAL X, Y, Z -94,315
15.25015.25015.250
-197. 02-203.39-200.47
CALC. NO S/4-Z>-~oro Page
Rev.
8-11-1997 11:31AM FRCN MPR Ay+Of [AT+9 INC 783 519 8224 P. 28
STRAIGHT PIPE ELEMEffTSTRAIGHT PIPE BLEMEÃP
30 NEW NODES33 NEW NODES
4348
4644
INSERT A VALVE AT NODE 44LENGTH c 24.000MASS c 2.1666STRESS ZNT. FACTOR — 1.0000 FLEX. FACTOR ~
I fSULATIOff AREA ~ AREA OF EQUAL LJDJGTM OFELEMENT'UMBER c 36
OMPONENT TO BE LOCATED AT EffD OFELEMENT'ODE
49 GLOBAL X,Y,Z c -95.000 15 '50VAlVE EIENKÃT 36 NODES 44 49
1. 0000
-173.00
DEFZNE A RUN OF STRAIGHT PIPEDX,DY<DZ ~ 0.NUMBER OF ELEMENTS cSTARTIHQ ELEMElfT NUMBER ~
0 ~ 53.250ENDING NODE NJMBER = 50
37 INCREMENT c 1
NODE 50 X, Ypz c -9S ~ 0, 15. 2 120. IN SYSTEM 0STRAIGHT PIPE ELEMENT 37 NODES 49 50
ATTACH A SPRING AT NODE 50 - TYPE c TRANSPRING CONSTANT c 1.0000DX.DY.DZ c '. 0. -12. 000ELEMENT NUMBER c 38
NODE 51 X,Y,Z c -95.0SPRING ELEffENT '8 NODES
DEFINE A RUN OF STRAIGHT PIPEDX,DY,DZ c 0.NUMBER OF ELEMEHTS c 1STARTINQ ELEMENT NUMBER c
15.2 -132 IN SYSTEM 050 51
0. 15 F 000ENDING tfODE NUMBER c 52
39 INCREMENT c 1
NODE 52 XiYiz c -95 ' 15.2 105. IN SYSTEM 0
STRAIGHT PIPE ElBMBNT '9 HODES 50 52
ATTACH A SPRING AT NODE 52 TYPE ~ TRANSPRING CONSTANT c 1 F 0000DX,DY.DZ ~ -12.000 0, 0.ELEMENT NUMBER c 40
llODE 53 X,Yg Z c -107.RIlfQ EIEMENT '0 NODES
15.252
-105. ZN SYSTEM 053
A RUN OF STRAIGHT PIPEDX,DY, DZ c 0. 0. 5.0000NUMBER OF ELEMENTS = 1 ENDING NODE NUMBER c 54START~ ELEMEJJT NUMBER w 41 INCREffENT c 1
NODE 54 X,Y,Z c -95.0 15.2 ~99.8 ZN SYSTEM '0STRAZOHT PZPE ELBMENT 41 NODES 52 54 .
ATTACH A SPRZlfG AT NODE 54 - TYPE c TRANSPRING CONSTANT c II2.00DX,DY,DZ 0 ~ 12 ~ 000ELEMENT NUMBER c 42
BODB 55 X Y Z -95 0 27 'SPRING ELEMENT 42 NODES 54
Oa
-99 ~ 8 ZN SYSTEM 055
DEFINE A FUN OF STRAIGHT PIPEDX,DY,DZ c 0. '. 93.500tlUMBER OF ELEMENTS c 1 ENDING NODE NUMBER c 56STARTING ELEMENT NUMBER c 43 INCREMENT + 1
NODE $ 6 X.Y.Z c 95.0 15.2STRAIGHT PIPE BLEMENT 43 NODES
-6. 2S IN SYSTEM 054 56
DEFINE A RUN OF STRAIGHT PIPEDX.DY.DZ c -36e000NUMBER OP ELEMEFiS ~ 1STARTINQ ELEMENT NUMBER
0. 36.000ENDING NODE NUMBER' 57
44 INCREMENT ~ 1
NODE 57 XiYez c -131. 15. 2STRAIGHT PIPE ELEMENT 44 NODES
29 a 8 IN SYSTEM 056 57
INSERT CURVED PIPE El'EMENTS BETWEEN ELEMENTS 43 AND 44BBJJD RADIUS c 30.000ffUMBER OF ELEMENTS c 2STARTINQ EIEMENT NUMBER c 45 INCREMENT ~ 1
BEND FLEXIBILITYFACTOR c 1.22073NO PRESSURE TE1Qf USED)
58 GLOBAL X.Y.Z c -125. 00DE 59 GLOBAL X,Y,Z c 95.000Te ch c1 Achf, Y Y c s'47, 7R4
15. 25015.25015.250
-1'76-18.676-7.1050
Page
Rev.
,8-11-1997 11 t31At4 FROM hPR ASSOCIATES INC 783 519 8224 P. 21
CURVED PIPE ELEMENT r 46 NODBS 61 58
STRAIGHT PZPB ELEMENT 43 'EW NODES 54 59STRAIGHT PIPE KLKHKNT 44 NEW NOD??S 61 57
BRANCH POINT ZS NOD'E 1PREVZOUSI Y DEFINED AT, GLOBAL
0. 0.
A RUN OP STRAICHT PZPB-DX,'DY,DZ r 0.tfUNPER OF EIEMKNTS - 1STARTZNC KLEltEtfT NUMBER =
XrYr Z0<
0. 27.000ENDZNG NODE NUMBER a '2
47 INCREMENT
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 PIPEDX.DY,DZ ~ 0. 38.500, 0.NUMBER OF KLEHKt?TS + ' ENDING tfODB NUMBER m 63STARTING ELEMENT NUMBER > 48 ZNCRKMEttT m
NOOK 63 XYZ= 0 ~ 38.5 27.0 IN SYSTEM 0STRAIGliT PIPE EI EMBNT 48 NODES 62 63
INSERT CURVED PIPE BLEHENTS B-TWEEN ELF"lENTS 47 AND 48BEND PJLDZUS ~ 9.0000ttUtfBER OF ELEMENTS 2STARTING ELEMENT NUttBER i 49 IifCREtmT s 1
BEND FLEXIBILITYFACTOR a 4.06911(ffO PRESSURlf TERM USED)
NODE 64 GIOBAL XrY,Z a 0 ~
NODE 65 GIOBAL X,Y<Z ~ 0.tlODE 66 GLOBAL X,Y,Z % 0.CURVED PZPK KLEMEtfi'9 NODESNODE 67 GLOJtAL X<Y,Z 0 ~
CURVED PZPK ELEMENT 50 NODESSTRAIGHT PIPE EIEMKNT 47 NEW NODESSTRAZGJ?T PZPE ELEHEtlT ~ 48 NEW NODES
9, 00000 ~
2.636065
9.000066
167
66
67
18.00018.00024.364
6427.000
646563
DEFINE A RUN OF STRAICHT PIPEDX,DY,DZ ~ 0. 0. 13. 500tfUMSBR OF BI EMRfTS 1 1 EÃDZNC NODE tlUMBER «68STARTINC ELEMENT NUMBER > 51 INCREMENT ~ 1
~
~
~
E 68 X Y Z ~ 0. 38 AS 40.5 ZN SYSTEM 0ICHT PIPE ELKMJ?ttT'1 NODES 63 68
ZttSERT CURVED PZPE ELEMENTS BKZ?fEEtf ELEMENTS 48 AND SlBEtfD RADIUS a 9.0000tfUMBER OF ELEMENTS ~ 2STARTZNG KLEMKIT NUMBER ~ 52 ZNCREtQ?NT ~ 1
BKtfD FLJ?XZBILITY PACTOR = 4. 06911ftfO PRESSURE TEJUf USED)
NOD'8 69 GLOBAL X, Y,Z ~ 0.NODB 70 GLOBAL X.Y.Z ~ ~ 0.NODE 71 GLOBAL XrY 2 ~ 0 ~
CURVED PIPE ELEMENT 52 NODEStlQDK 72 CLOBAl X.Y,Z «0.CURVED PIPE ELEMENT 53 NODESSTRAIGHT I'ZPE ELEMENT 48 ttKW NO'OBS
STRAIGHT PIPE ELKHENT 51 NEW NODES
29.50029.50035.864
'JO 7138.500
71 726772
36.000~0029.636
6936.000
697068
ATTACH A SPRING AT NODB 68 - TYPE m TRANSPRING CONSTAtfT ~ 84.000DX<DY,DZ O. 12. 000 0.EI EMKNT NUMBER e 54
NODE 'J3 X,Y,Z > 0.SPRING ELEMENT 54 NODES
SO.S68
40.S IN SYSTEM 073
DBFZNB A RUN OF STRAIGHT PIPEDX DY DZ ~ '.lftJHJJER OF ELEMB?fTS m . 1STARTZNG t?LKHJ?NT NUMBER ~
0 ~ 22.500KNDZttC tfODE NUMBER ~ 74
55 INCREMENT ~ 1
NODS 74 X,Y,Z ~ O.. 38.5STRAIGHT PIPE KLKJJENT 55 NODES
63<0 ZN SYSTEM 068 74
DEFINE A RUN OF STRAIGHT PIPEDX,DY,DZ c 41.237NUMBER OF ELEMENTS «1 0 ~ 19.229
ENDING tfODB NUMBER ~ 7556 INCREMENT w 1
82.2 ZN SYSTEM 074 75
STARTING ELEMENT NUMBER ~
DE 75 XYZ ~ 412 38.5ZCHT PIPE ELK?r<EttT 56 NODES
CALC. NO. <l -~s- moroPage
Rev.
9-11-1997 11 t32AM FRY MPR A99QcjATES INC 783 519 8224 P. 22
NUMBER OF ELEMENTS aB R 57 INCREMENT a 1
SEttD FLEXZBILITYFACTOR a 1. 22073(NO PRESSURE TERM USED)
NODE 76 CLOBAL X,YkZ a 30.000ODB 77 GLOBAL X>Y,Z a 0.
DE 78 GLOBAL X,YiZ a 4 ~ 6983.VED PZPB ELEMEii'7 NODES
DE 79 GLOBAL x, Y,z a 3,7,322CURVED PZPE ELEHEÃI'8 NODES
STRAICHT PIPE ELENEttT SS NEW NODES
STRAIGHT PIPE EtEMENT 55 NEW NODES
38.50038 F 50038 F 500
7738.500
78 796879
43.88843 '8860.007
7671.077
767775
ATTACH A SPRZNG AT NODE 75SPRING CONSTANT a 1.0000DXkDY.DZ a 10 '72ELEMENT NUMBER 59
NODE 80 X, Y,Z 52.1SPRING ELEMENT 59 NODES
TYPE TRAN
Ok
38. 575
5 '760
8'7 ~ 3 ZN SYSTEM 080
DEFIttB A RUN OF STRAIGHT PZPEDX,DY,DZ ~ 1.8130 0. 0.84500NUHBER OF ELEMEltTS a 1 ENDIhC NODE 1tUkkBER a 81STARTZNC MtENT SiltBER a 60 INCREMENT a 1
NODE 81 X,Y,ZSTPAZGHT PZPE ELEMENT
7
ATTACH A SPRING AT NODESPRING CONSTANT aDX,DY,DZ aELEMENT NUMBER a
81 TYPE a TRAN112.000. 12 F 000
610.
43.1 38.5 83. 1 ZN SYSTEM 060 NODES 75 81
NODE 82 XiYrZSPRING ELEMENT 61
43.1NODESk
50.5 83.1 IN SYSTEM 081 82
DEFINE A RUN OF STRAIGHT PIPBDX.DY,DZ a 27 '69NUI&ER OF ELEMENTS a 1STARTING ELEMENT NUMBER a
0. 12 F 000ENDING NODE NUMBER a 83
62 ZNCREttENT s 1
NODE 83 X,Y,Z = 70 ~ 9 38.5 95.1 IN SYSTEM 0TRAIGHT PIPE ELElmT 62 NODES 81 83
A SPRING AT NODB 83 - TYPE a TRANSPRING CONSTAttT = 0. 10000E«11DX,DY,DZ.H 0. . 12.000ELKfgHT NUMBER a 63
NODE 84 XYZ a 709SPRZNC ELEMENT 63 NODES
50 '83
95.1 IN SYSTEM 084
ATTACH A SPRING AT NODE .83 - TYPE a TRANSPRING CONSTANT = Ok10000B«11DX,DY,DZ a 5.0760 . 0.Et EMENT NUMBER a 64
10.872
NODE 85 X, Y,Z > 76,0SPRING ELEMENT 64 NODES
38. 583
84.2 IN SYSTEMS 085
DEFINE A RUN OF STRAIGHT PIPEDXkDYkDZ = 54.384 0, 25.356NUMBER OF ELEMENTS a 1 ENDZNC NODE NUMBER a 86STARTINC ELEMEtlT NUMBER a 65 INCREMENT a 1
'ODE
86 X.Y,Z a 125. 38.5STRAIGHT PIPE ELEMENT 65 NODES . 83
ATTACH A SPRING AT NODE 86 - TYPE a TRANSPRING CONSTANT a 0 10000E+11DXkDY,DZ a 0. 12. 000ELEMENT NUMBER a ~ 66
120. IN SYSTEM 086
NODE 87 X, Y,Z a 125.SPRING Et EMEH1 66 NODES
50.586
120 k ZN SYSTEM 087
ATTACH h SPRING AT NODE 86 TYPE a TRANSPRING CONSTANT a 0.10000E+11DX,DY.DZ a 5.0760 0.'Et EMENT NUMBER a 67 ~
«10. 872
ODE 88 X,Y,Z a 130'INCELEMENT 67 NODES
NE A RUN Or STRAZCHT PIPEDX.DY.DZ a 26.283
38.586
110. ZN SYSTEM 088
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 0STRAIGHT PIPE ELEMENT 68 NODES 86 89
11 /5'1
DEFZtlK A RUN OP STRAIGHT PIPEDX,DY,DZ a 46.000NUJ555KR OP ELR{ENTS aSTARTItlG Ef EMENT NUMBBR a
0. 0.EHDIHC NODE NUMBER o
69 INCREMENT a 1
DK 90 X,Y.Z a 19'" 38.5 133. Itl SYSTEH 0TRAICHT PIPE ELEMEtfT 69 NODES 89 90
ZJJSERT CURVED PIPE ELEMENTS BKT55KEH KLKtfKHTS 68 Allo 69BKtlD RADIUS = 30 ~ 000NUMBER OF BLKMEHTSSTARTING KLKJJKHT BU5555KR a 70 XHCREMKHT a
BEND FLEXZBZLITY FACTOR a 1.22073(NO PRESSURE 'TERM USED)
NODE 91 CLOBAL X,Y,Z a 158.24NODE 92 GfOBAf X,Y,Z a 145.56NODE 93 CIOBAL XrY,Z a 151r74CURVED PIPE ELEMENT 70 NODESNODE 94 GLOBAL X,Y,Z 158.24CURVED PIF ELEMENT 71 NODESSTRAXGHT PXPE ELEMiENT 68 NEtf NODESSTRAIGHT PIPE ELEHiEtlT 69 NEW NODES
38.50038.50038.500
9238.500
938694
93
94
102.69129. 88131.97
91132.69
'1
9290
DEPItlE A RUtf OF STRAIGHT PXPEDX,DYrDZ ~ ,0. -36 F 000 0 ~
NUMBER OF KLKtfKHTS -. '. EBDZNC HODK tRJMBER - 95
STARTXHC ELEMENT NJMBER a 72 INCREMENT a 1
tfODE 95 X.Y,Z a 198. 2.50STRAIGHT PIPE ELEMENT 72 NODES
133 IN SYSTEM 090 95
INSERT CURVED PIPE KLKMStfTS BETWEEN ELEMENTS 69 ANDBKtfD RADIUS a 30 ~ 000NUMBER OF ELKJJEHTS a 2STARTXNC ELKMEtfT NUMBBR 73 ZtfCRKMKNT I
72
SEND Ff, XXBZLITYFACTOR 1.22073(NO PRESSURE TERM USED)
NODE 96 GLOBAL X,Y,Z 167.59ODE 97 GLOBAL Xi' a 167 '9
E 98 CLOBAL X,Y.Z a 188 '0VKD PZPK KfKJJKtfT 73 NODES
DE 99 CLOPAL X,Y,Z a 197.59CURVED PZPK ELEMENT 74 NODESSTRAZCHT PIPE ELEHEHT 69 NEW NODESSTRAZGHT PIPE ELEMKtfT 72 NEW BODES
8.500038.50029.713'7
8.500098
9499
98
99
132.69132.69132. 69
95132. 69
969795
ATTACH A SPRING AT hODE 95 - TYPE a TRANSPRZHC CONSTANT 0 ~ 10000K+I 1DX DY DZ a 0. 0. 12.000KLKtfKtfX'Ot5BKR~ 75
NOOK 100 X,Y,Z, a 198.SPRINC ELEMENT 75 NODES
2.50 145. XN SYSTEM 095 100
DEFINE A RUtf OF STRAIGHT PIPEDXrDY,DZ 0 ~
tPJNBER OF ELKl5KHTS a 1STARTZMC ELEMENT NUMBER a
-24.000 OrKNDZBG NODE NUMBER a
76 INCREMENT ~ 1101
tlODE 101 X, Y, Z a 198. -21.5 133. „IN SYSTEM 0STRAICHT PIPE EIEMEHT 76 NODES 95 101
DEFINE A RUtl OP STRAIGHT PIPEDX.DY,DZ a 9.0000'tfUMBER OP ELEMENTS a 1STARTING KLKMKtfTNUMJJKR a
0. 0.EHDZifC NODE NUtCJKR a
77 Xt'CREHEHT a 1102
NODE 102 X, Y,Z a 207 ~ -21r5 133r IN SYSTEM 0STRAIGHT PZPK ELEMENT '7 NODES 101 102
ZiNSKRT A VALVE AT NOD'E 102LKtfGTtf = 24.000MASS a 2.1610STRESS ZHT. PACTOR a 1.0000 FLEX. FACTOR aItfSULATZOH AREA a AREA OF EQUAL LEHGTH OF PIPEELEMENT NUMBER a 78
COMPONENT TO BE LOCATED AT Kt'ID OF ELEMENT 77DE 103 GLOBAL X.Y.Z a 230.S9 -21. 500LVK KLKMKHT 78 NODES 102 103
on s ararnta an aonno sh1
1 ~ 0000
132.69
CALC NO S~4-z3-«« Page
Rev. 0
STRESS ZNT. FACTOR a 1.0000 PLEX. PACTOR a 1 F 0000ZNSULATZOTT AREA 'a AREA OF EQUAL LETTGTH PF PIPEELuee NUMBER a 79
COMPONENT TO BB LOCATED AT ETTD OF ELElgmrNODE 104 GLOBAL XiYrZ - 258.34 -21. 500VALVE ET EMEHT ~ ~ 79 NODES 104
AT CURVED PIPE ELEMENTS BETWEEN ELEMENTS 76 ~ 77BE)ID RADIUS a 8 ~ 9880NUMBER OF ELEMEHTSSTARTING ELEMENT NUMBER a 80 INCREMENT 1
132.69
v8-11-1997 11l33AM FROM MPR P99PO~gyE9 INC 783 619 8224 P. 24
IZ/~(
BEND PLEXZBILITY FACTOR 4.07455(HO PRESSURE TERM USED)
TTODE 105 GLOBAL X.Y,Z 206.57TJODE 106 GLOBAL X,YiZ a 197.59NODE 107 CLOBAI X.Y,Z a 200.22CURVED PIPE ELEMEHT 80 NODESNODE 108 CLOBAT X,YpZ a 206.57CURVED PIPE ELEMENT 81 NODESSTRAIGHT PIPE ELEMENT 75 hEW NODESSTRAIGHT PIPE ELEMENT 77 NEW NODES
-12. 512-12.512-18.867
106 107-21.500
107 I.0895
108
132 ~ 69132.69132. 69
105132. 69
105106102
DEFINE A RUN OF STRAIGHT PIPEDX.DY,DZ 3.7500 0. 0.TJUMBER OF ELEMEHTS a 1 ENDING NODE TWNBER a 109STARTITJC EI EMENT NUMBER a 82 INCREMENT - 1
TJODE 109 X.Y.Z i 262.. ~21.5STRAIGHT PIPE ELEMENT 82 NODES
133. IN SYSTEM 0104 109
DEFINE A RUN OF STRAIGHT PIPEDX,DY,DZ a 9.0000NUMBER OF ELEMENTS a 1STARTITJC ELEMENT NUMBER a
0 ~ 9.0000ENDING NODE NUMBER a 110
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 ANDBEND RADIUS a 9.0000tTUMBER OF BLIGHTS a . 2STARTING ELEMENT NUMBER a 84 INCREMENT a 1
FLEXZBZLZTY FACTOR - 4.06911NO PRESSURE TERM USED)DE 111 GLOBAL X,Y,Z a 258.36 -21. 500
NODE 112 GLOBAL X,Y,Z a 258.36 -21. 500NODE 113 GLOBAL X, Y Z a 261.80 -21 ~ 500CURVED PIPE ELEMETJT 84 NODES 112 113NODE 114 GLOBAL X,Y,Z a 264.72 -21. 500CURVED PIPE ELEMENT 85 NODES 113 114STRAIGHT PIPE ELEMENT 82 NEW NODES 104STRAZCHT PIPE ELEMENT 83 NEW NODES 114
83
141. 69132.69133.37
11113S. 32
111112110
DEFINE A FUN OF STRAIGHT PIPB ~
DX.DY,DZ 0. 24.000 0.NU?TBER OF EI,EMEHTS a 1 ~ EHDZNQ NODE NUMBER aSTARTING ELEMENT NUTTBER a 86 ZNCREMEHT a 1
115
NODE 115 X,Y,Z — 271 '45.5 142 ~ IN SYSTEM 0STRAZCHT PZPB ELEMENT" . 86 NODES 110 115
INS'ERT CURVED PIPE ELEMENTS BETWEEN BLEMEHTS 83 AND 86BEND RADIUS a
6.0000'UMBER
OF ELEMENTS a 2STARTZNC ELEMENT NUMBER a,. 87 INCREHEHT a 1
BEND FLEXIBZTZTY FACTOR ~ 6. 10367(NO PRESSURE TERM USED)
NODE 116 GLOBAL X,Y,Z a 266.84NODE 117 GLOBAL X,Y.Z a 266 '4NODE 118 GLOBAI X,Y,Z 269.84CURVED PIPE ELEMENT 87 NODESNODE 119 GLOBAL X,Y,K a 271.09CURVED PIPE ELEMENT 88 NODESSTRAIGHT PIPE ELEMENT '83 NEW NODBSSTRAZCHT PIPE ELEMENT 86 NEW NODES
-27.500-21.500-23.257
117 118-27.500
118 119114119
137. 44137.44140o44
116141. 69
116117115
E
~ ~~
ELl&E?TT NURSER a 89
DE 120 X,Y,Z a 283.PRING SLEMETJT 89 NODES
45 '115
ATTACH A SPRING AT hODE 115, TYPE a TRANSPRINC CONSTANT a 0. 10000Ea11DX,DY,DZ a 12.000 0.
142'20
0.,
ZN SYSTEM 0
CALO. NO.Page 3 J-
Rev.
1
NUMBER OF ELEMENTS ~ 1 ENDING NODE NUMBER ~ 121STARTZlfQ ELEMENT NUMBER ~ 90 INCREMENT
142 XN SYSTEM115 121
HOLE 121 X,Y, Z ~ 271. -76. 5STRAIGHT PZPE ELmfENT, 90 NODES
'fCH POINT IS NODEPREVZOVSLX DEFINED AT GLOBAL X, Y, Z
0. 0. 0.
8-11-1997 11:33AM FROM MPR A9SOC1ATE9 >NC 783 519 8224 P. 25
INE A Rtfff OF STRAIGHT PZPE ~
DX, DY, DZ 0.NUMBER OP ELEMENTS ~ 1STARTING ELEMENT NUMBER ~
-410001 0.ENDZBQ NODE lfVMBBR ~ 122
91 IlfCREMEHT ~
lfODE 122 X, Y, 8 ~ 0. -F 00STRAIGlfT PIPE ELEMENT 91 NODES
0. IN SYSTEM 01 122
INSERT 3 TEE ZEG ELEMENTS AT NODE 1 TYPESTPutTZIJG EIEMENT ?IVMBER w 92 INCRBHBNT w 1LEG LEIJQTHS = 5 '250 5.6250 4o0000
TEE LEQ 1 STPXSS ZNT. FACTOR ~ 3..2460lfODE 123 GLOBAL X, Y,Z 0.TEE LEQ ELEMENT 92 NODES 123STRAIGHT PZPE ELEMENT 1 NEW NODESTEE I,EQ 2 STRESS ZNT. FACTOR 1.2460NODE 124 CLOBAL X,Y,Z ~ 0.TBB LEG ELEMEffT 93 NODES 124STRAIGffT PIPE ELEMENT'7 NEW NODESTEE LEG 3 STRESS INT. FACTOR e 1.2460NODE 125 GLOBAL XiYrZ 0 ~
TEE LEC ELEMENT 94 NODES 125STRAIGHT PIPE ELEMENT 91 NEW NODES
5.62501
123
0 ~
1124
-4.00001
125
5.5250
65
122
ATTACH A SPRING AT NODE 98 - TYPE TRANsPRINC CONSTANT ~ 300.00DX, DY,DZ ~ 0. 12.000BI~MENT NUMBER ~ 9$
NODE 125 X;Y,Z ~ 189.SPRING ELEMENT 95 NODES
41. 7 133 ~
98 126IN SYSTEM 0
ATTACH A SPRZNG AT NODESPRING CONSTANT ~
DX.DY.DZ aELEMENT NUMBER ~
113 - TYPE ~ TRAN340.000. 12.000
96
I 0
BODE 127 X,Y,Z ~SPRZtfC ELEMENT .,96
252- . 9 '0 133. ZN SYSTEM 0NODES 113 127
SPECIFIED CONSTRAXNI'X FOR SELECTED NODES 57 TO 57 BYREALi 0. IRAQ+ 0 ~
ADDITIONALDOFS- VY UZ ROTX ROTY ROTZ
SPECZFXED CONSTRAINT UX FOR SELECTED NODES 121 TO 121 BYREAL~ 0. ZffACo 0.ADDITIONAL DOFS~ VY VZ ROTX ROTY ROTE
SPECIFIED CONSTPAINT VX FOR SELECTED NODESREAL~ 0. IMAG~ 0.ADDITIONALDOFS~ UY UZ ROTX ROTY ROTZ
SPECIFIED COlfSTRAINT UY FOR SELECTED NODESREAL<-0.125000000 ZMACa . 0 ~
122 TO
122 TO
122 BY
122 BY
MODIFY REAL CCRfSTABTS FOR SET 16 STARTING WXTH 3 NEW VALVES ARE1.2460 1.2460 1.0000 0. 0. 0.
vi,ew polnf; fox'indow 1 1.0000 1.0000
SELECT ALL ENTITIES OF TYPE~ ALL AND BELOW
ALL SELECT FOR XTJIMaVOLU COMPONENT~ZN RANCE 0 TO 0 STEP 1
1. 5000
0 VOLUMES (OF 0 DEFINED) SEI ECTED SY VSEL COMMAIfD.
ALL SELECTIN RANGE
FOR ITEM=AREA COMPONENT+0 TO 0 STEP 1
0 AREAS {OP 0 DEFINED) SELECTED BY ASEL COMMAlfD./ ~
. SELECT POR ITEM~IXNE COMPONE:fTCE 0 TO 0 STEP 1
0 LINES <OF 0 DEFINED) SELECTED BY LSBL COMMAlfD.
CALC. NO.. 5/4-~z-bozo Page ~~
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
a
96 ELEMENT S (OF .96 DEPZNED) SELECTED BY ESEL COIO(AND
SELECT FOR ZTEMaNODE COMPONENTa
RANGE 1 TO 127 STEP 1
127 NODES (OP 127 DEPZ))ED) SELECTED BY NSEI,
LzsT Azz sELecTep Nopes. DEYs= 01
+~ ~ ~~ ANSYS ENGINEERING ANALYSIS SYSTEM RELEASE 5.3ANSYS/Mochanical40197CHO VERSZON~SOLARIS 09:21:27 AUG 08,
trave
1997 CPN 0.997POR SUPPORT CALL EdNard Bird PHONE 703-519-0410 FAX 703-519-0224
NODE123
5618'
10111213141516111819
242526272829303132333435363738394041424344454641484950
1
X0.0.
42.0006.3640
0.1. 86406.364042.00012.00033.21339.'11542.OOO42.00042.00042.00042.00030.00042.00042.00042.00042 F 00042.00021.62533.00042.00041. 31539.3646.62509.198630. 41220. 6799.19966.6250 .
-10.375-34.3'15-51. 315-51. 375-68. 815
95.000-56.449
56.449-67.929-77,662
95.000-86.000
92.364-94.315
95.000-95.ooo-95 F 000
Y ~
0.15.25015.2506 ~ 25006.250012.61415. 25015.25015.25015 '5015.'2SO15.25027.25015. 25015.25015.'25015.25015 '5027.25015.25015.25015. 25015.250
"15„25015 ~ 25015. 25015.25015. 25015.2SO15. 25015.250lsp25027'.25015.25015.250
ISED
25027.25015.25015.25015.25015.25015.25015 ~ 25015.2501S. 25015.25015. 25015. 25015.25015.250
Z0.0.
-42.OOO-6.3640
0.-l.8640. -6. 3640-100. 00-54.426-33.213-42.946-54o426
100.00-123.50»111. 50"137.25-137.25-169 ~ 50-169.50-178 a 75-202.15206.50
-226.88202.77
-202.77206.22
-209.14-226.88
196.88-218.09224.59
-226.88-226.88-226.88-226.88-226.88-226.88-226.88"200.75-196. BB-225e88224.59
-218. 09197.00
-191 ~ 02203.39
-200.47-197.02-173. 00
, -119 ~ 15
THXY0.000.000.000 F 000.000.000.000.000 F 000.000.000.000.000.000.000 F 000.000.000.000 F 000.000.000.000.000.000.000.000.000.000.000.000.000.000 F 000.000.000.000.000 F 000.00oooo0.000.000.000.000.000.000.000.000.00
THZX0.000.00oooo0.000.000.000.000.000.000.000.000.000.000.000.000,.000.000.000.000.00
:0.000.000.000.00.0. 000.000.000.000.000.000.000.000.000.000+000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00
0 F 000.00
0.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00oooo0.00
0.000.000.000.000.000.000.000.000.000.000.000.00O.M
'.00
0.000.000.00
,0.000.000.000.000.000.000.000.000.000.000.000.000.00 ~
P~~ ANSYS - ENQINEERZNG ANALYSIS SYSTEM RELEASE 5.3ANSYS/Mechanical40197CHG veeszoN~BQLARzs 09:21:27 AUG 08, 1997 CP 1.014FOR SUPPORT CALI Echerd Bird PHONE 703-519-0410 PAX 703-519-0224
DE X Y Z51 -95 ~ 000 15 ~ 250 -131 ~ 15
-ac nnn 16 jcn»(04.75THXY THYZ
0.00 0.00n on n.nn
THZX0.00n nn
CALC. NO.. </4-~z- «o~oPage~3
Rev. 0
0.000.000.000.000.000,.000.000.000.000 F 000.000.000.000 F 000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00
27.25015. 25015.25015.25015.25015.25015.250
0.38.5009.0000
0.2.6360
-99.7506.250029+750
-18.676-18.676-7 ~ 19592.536827.00027.00018.00018. 00024.36427.00040.$ 0036o00027 F 00029. 63636.00040.50063.00082 F 22943.88843.88860.00771.07787.30583.07483.07495.07495.0'1484.202120 '3120.43109. 56132.69132.69102.69129 F 88131. 97132 ~ 69132. 69132. 6913'2. 69132. 69132.69144. 69
95 00095.000
-131. 00-125 F 00-95.000
91. 284103 e79
0.0.0 ~
0.0.0 ~
0.0.O.0.0.0.O.
41. 23130.000
0 ~
4.698317 ~ 32252.10943.05043.05070.919'70. 91975.99S125.30p125.30130.38151. 59197. 59158.24145. 56ZS1.74158.24197 ~ 59167. 59167.59188.80197. 59197.59
0.000.000.000.000.000.000.00
555651585960
0.000.000.000.000 F 000 F 000.00
0.000.000.000.000.000,000.000.000.00
0.000.000.000 F 000.000 F 000.00OIOO0.00
666768691071727374757677787980Sl8283848586878889909192939495969798
oo~ see ~ ANS
~ ANSYS/Mec40197CHGPOR SUPPO
9.000038.500'9.500
29.50035.86438.50050.50038 '0038.500
. 38.50038.50038.500
0. 000.00
0. 000.00
0.000.000.00
'.00
Oe000.000.000.000.000.000.000.00Oo000.000.00
0.000.000.000.000.000.000.000.000 F 000.000.000.000.000.000 F 00
38.$ 00.38.50038.$ 0050.50038.50050.50038.50038.50050.50038.500 0.00 0.00
0.000.000.000.000 F 000.00, '
F 000.00
0.000.000.000.00Oo000.000.000.00
38.50038.50038.50038.50038.50038.5002.$ 0008.500038.50029.7138.50002.5000
0.000.000.00Oe00
0.000.000.000.00
YS ENCZNEERZNG ANALYSZS SYSTEH RELEASE 5.3hnnical
VERSZON=SOLARZS 09:21:21 AVC 08. 1997 Cta 1.031AX 703-519-0224RT CALL Edward Eizd 'PHONE 703-519-0410
,8-11-1997 11:34AM FROM MPR ASSQO>ATE9 INC 783 619 8224 P. 27
NODE10110210310410510610710810911011111211311411511611.7118119120121122123124l25126
-
X197.$ 9206.59230.$ 9258.34206.57197. 59200.22206.57262.09271. 09258.36258.36261. 80264.72271. 09266.84266.84269.84271. 09283 F 09211. 09
0.0 ~
0.0
188.80261.80
Y-21. 500
21. 500-21.500-21.500-12. 512-12 ~ 512-18. 867-21. 50021. 500
-21. 500-21.500-21. 500-21.$ 00-21 ~ 500-45.50027.500
-21. 500-23.25727.500
-45.500-7'6.500-4.00015.6250
0.;4.0000
41. 713-9.5000
E132. 69132. 69132.69132.69132.69132.69132.69132.69132 ~ 69141. 69141. 69132 '9133. 37135. 32141. 69l37.44137.44140.44141 ~ 69141. 69141.69
0.0.
5.62500.
132 ~ 69133 ~ 37
SELECTED. ELEHENTS ~ (LZST NODES)
0.000.000.000.000 F 000.000.000.000.000.000.000.000 F 000.000.000.000.000.000.000.000.000.000.000.000.00Oe000 F 00
THYE0.000.000.000.000 F 000.000.000.000.000.000.000.00
. 0.000.00
'0.000.000.000 F 000.000.000.000.000.000.000 F 000 F 000 F 00
THEX0.000.000.000 F 000.00Os000.000.000.000.000.000.000.000.000.000.000.000.000 000.000.000.000.000.000.00
~ OIOO0. 00
CALC. NO. 5/4 Z3- ~o oPage
Rev.
,8-11-1997 11:35AM F~C14 M1 R ASSOCIATES INC 703 ~19 0224 P. 28C
40197CHG VERSIONa SOLARI8 09t21c27 AUG 08, 1997 CPa 1+041FOR SUPPORT CALL Eche < S<z~ PHONE 703-519-0410 FAR 703-519-0224 IG /~ I
;456789
10ll12131415161718192021222324252627282930313233343536
e.41424344454647484950
1
1221
2
13
313
411
2122
4131122122413131
1.
1221,
122
REL ESY
0 ~
1 02 02 01 03'3 04 01 05 01 05 01 06 01 07 0'
01 02 02 01 03 0'
05 01 08 01 09 01 0
'1 03 '03 01 02 02 0
10 .'0
1 05 01 0'
01 0
11 01 i0I 03 03 01 0 .
1 02 02 0
12375
~ 6121011
88
14141616181820212725
NODES
10678
11121314151617181920212530262'7
3128283435
'6
364341424846
444950
„50525254'4615960
124676566
323334353637414642434447
495051525354555957605165706667
32 . 2830 ~ .31
0000
2424
02929
00
4040
04545
00
00
5858
00
6464
ANSYS - ENGINEERING ANALYSIS SYSTEH RELEASE 5.3ANSYS/Hechanical40197CHC VERSZONrSOLARZS 09 s 21 ) 27 AUG 08, 1997 CPa l.059FDR SUPPORT CALL E&azl si,zd pHUNE 703-519-0410 M 703-519-0224
51525354555657585960616263
111111111
11111'7
1 02 02 0
12;, 0,1 01 03 03 05 01 0
11, 01 06 06 01 '06 06 0
0
727071686879777875758181838383868686
NODES
687172737775787980818283848586878892
06969
00
7676
CALC. NO.Page~3
Rev.
,8-11-1997 ll:35AM FROM MPR ASSPO1PTE9 jNC 783 519 8224 P. 29
717273'74
84858687888990919Z93949596
11111111111111111
1
11111
61
7131414
11221
15,15
611
1616161718
0000000000000000000 ~
000
3 01 03 03 '0
939997989595
108102103106107104.114112113119117118115115125123124125
98113
94959899
10010.6102103104107108112117113114'15118119120121122
111
126127
910
9696
0000
105105
00
111111
0116116
00000
LIST CONSTRAINTS FOR SELECTED NODESCURRENTLY SELECTED DOF. SET UX UY UZ
I1 TO 127 BY.ROTX ROTY ROTE
~~~~r ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 5 3 r~~r*2c>SYS/Mechanical40197CHG VERSIONcSOLARIS '9<21:27 AUG 08, 1997 CFe 1.077FOR SVFFORT CALL Edward Bird a(ONE 703-519-0410 FAX 703-519-0224
NODE13131315
19191933333337373751515153535355555557575757575773737380808082828284
LABELVXUYUZUXUYUZVXUYUZVXUY
UKUYVZUXUYUZVXUYUZVX
UZUXUYUZUXUYUZROTXROTYROTE
UYUZ
'X
UYVZUXVYUZUXUYUZvxUYUZ
REAL '.0.0.0.0.0 ~
0.0 ~
0.0.0.0.
0.0.0 ~
0.0.
0.0.0 ~
0.0»0.0.0.
0.0.0.0.
0.0 ~
0.0.0.0.0.0.0.0.0.0 ~
IMAG0.0.0.0.0.0 ~
0 ~
0.0.0.0.0.0 ~
0.0.0 ~
0..0.0.0.0.0.0.0»0.0.0.0.0.0.0.0.0.0.0.0 ~
0.0.0.0.0.0»0»0.0»0.0.0 ~
CALC NO 5/4-ZZ-~o~oPage~~
Rev.
'
1
,8-11-1997 11:35AM FRQt4 MPR A9SQC<PTES jNC 783 519 8224 P. 38
eieee ANSYS ENCZNEERINC ANALYSIS. SYSTEM RELEASE 5 3 eeeeemJSYS/Mechanic.cal40197CNC AUG 08 1997 CP 1 083FOR SUPPORT CALL «br d Sisd PHONE 703 519 0
87888888
1001001001201201201211'2112112112112112212212212212212212612612612'7127127
LABELUZ,UXUYUZUXUYUZUXUYUZUXUYUZROTXROTYROTEUX
0.12UZROTXROTYROTZUXUYUZUXUYUZ
REAL0.0.0.0.0.0.0.Oa0.0.0.0.0.00.0.0..
50000000.0.0;0.0.0.0.0.0.0.
IMAC'0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0 ~
0.0 ~
0.0.0.0 ~
0.0.0,0.0.0.
ALL CURRENT MTSYS DA'TA WPITTEN TO FILE NAME~ rwcu.dbFOR POSSIBLE RESUNB FROM THIS POINT
ROUTINE COMPLBTED e see
ANSYS SOLUTZON ROUTINE
CP ~ 1.118
PRINT BASZ ITEMS WITH A FREQUE:ICY OF ALLFOR ALL APPLZCASLE ENTITIES
PERFORM A STATIC ANALYSISTHIS WILL BE A NEW ANALYSIS
~ ~~~ ~ ANSYS SOLVE COmm
NOTE CPsThere i.s no title detined for this analysis.
1.122 TIMB= 09:21!27
ANSYS - ENGINEERING ANALYSZS SYSTEM RELEASE 5 3RNS YS/Mechanical40197CHG VERSION~SOLARIS 09:21:27 AUG 08. 1997 CPe 1 ~ 129FOR SUPPORT CALL Edward Bird PHONB 703-519-0410 FAX 703-519-0224
SOLUTION OPTIONSPROBLEM DIMENSIONALITY~ ~
DEGREES OF FREEDOM.ANALYSZS TYPE . ~ ~ . ~
~ ~ ~ ~ ~
UX UY~ ~ ~ ~ ~ ~
~ ~ ~ ~ ~ 3 DUZ ROTX ROTY ROTZ~ . ~ .STATIC (STEADY-STATE)
NOTE seePresent time 0 is lass thanTime will default tO 1.
or ogual toCP~ 1 ~ 136 TIME 09 )21 i27tho previous time.
LORD STEP OPTIONSLOAD STEP NURSER.
'RE AT END OF THE LOAD STEP- ~
BER OF SUBSTEPS.BP CHANGE BOUNDRPY CONDITIONS
RINT OUTPUT CONTROLS
1l.00001
NO
CALC. NO. 5 /O'-Z3- ~gagPage
~8-11-1997 11 I36AM FROM MPR ASSCIC1ATES INC 793 619 8224 P. 31
DATABASE OUTPUT CO~o . ~ . . ~ . . ~ ~ e ~ .ALL DA'TA WRITTENFOR THE LAST SUBSTEP
~ »»»» CENTROID, MASS, AND MASS MOMENTS OF ZNERTZA ~ »»»»
CULATZONS ASSUME ELBHENT MASS AT ELEIIZG'ENTROID
TOTAL MASS ~ 10.594
CENTROZDMOH. OF ZNERTIA
ABOUT ORZGZNHO'H. OF INERTIAABOUT CENTROID
XC 4 96.761YC ~ -2.1221ZC 4 -40.974
IXX =ZYY LI
IBB ~ZXY 4ZYS 4ZKX'-"
0.30938»060. 60318»060.30108»060.27308»050.31048+050. 18228»06
IXX ~ZYYZZZ aZXY 4ZYK 4ZSX 4
0.2915E+060 '8618»060.2018E+06OI25138+050. 3196E»05
"0.22428+06
»»» MASS SUMHARY BY ELEMENT TYPE"*'YPE
MASS4 10.S938
RanSo of element maximum matrix coefficients in global coordinatesNaXimum4 1.1296897688»13 at element 91.Hinimume 0.821028942 at element 59.
»»» WARNING CPi 1.205 TZME4 09:21:2'7Coefficient ratio exceeds 1.0e8 - Check results.
ELEtSWIT MATRIX FORMULATION TIMESTYPE NUMBER ENAHE TOTAL CP AVE CP
1 38 PZP816, 0. 014 0 ~ 0002 30 FZP818 0.011 0. 0003 20 COMBIN14 0. 004 0. 0004 5 PIP816 0.002 0.0005 3 PZP816 0.001 0.000
t ~at 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 5.3ANSYSI Mechanical40197CHG VERSION»SOLARIS 09:21:28 AUG 08, 1997 CP4 1.252FOR SUPPORT CALL Kddard Bird PHONE 103-519-0410 FAX 703-519-0224
DEGREE OF FREEDOM SOLUTION»»"»" TIME s 1.0000LOAD STEPR 1 SUBSTEP R 1 CUM ~ ITBR ~ ~ 1
NOTE - ALL VECTOR DOFS ARE IN NODAL COORDINATE SYSTEHS ~
NODE15678
101112~ 3~ 4~ 5161718
i
UX-0.8924388-050. 1229878-03
-0.496628E 03-0.764997E-03
0.7447298-03-0. 2761458-03-O. 113370E-030.7064168-04
0.0.1066388-02
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0.1'24882E-020 ~
0.1565908 020.
0. 178393E 020.208985E-020.2090138-02n 111wanv n4
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-0.2504258 010.
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0.6785448-020.2345998-010.2347468-01n 44dn444 hl
UZ0. 2667218 04
-0.5597258-040.58$ 089E-030.1306288-020. 194112E-020. 1795178-020.1904288 020. 194115E-02
0.0.1941118 02
0.Oe1941108 02
0 ~
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0. 1941078-020.1941068-020. 1941068-02n I411>de h4
ROTX-0. 2521078-040. 1584148-040 '956498-030.3426618 030.7961478-030.5747858-03Os6398348 03,0. 6951148-03
ROTY0.1519778-040.167565E 04
-0. 1718368-05-0.1938728-04-0. 140103 E-04-0. 1712408-04-0:1638558 04-0.1570778 04
0.7227058-030. 667 631E-030.557582E-03n d'11n4KII n1
-0.1275258-04-0.1279038-04
0 1279048-04h 1>RRh>R hd
0. 8047748-03 -0.1341308-04
0.7975038-03 -0.131512E-04
0.7447718-03 -0.1279058-04
ROTE0. 1142698-040.2505398"040.947840E-040. 1863 95E-03
' '86997E-03O. 2016428-030. 2013008-030.1983478-03
0 ~ 18114 48-03
0 ~ 1777208-03
0.169688K-03
0.1673848-030.151407E-030. 1614018-03h 1 add RR< he
CALC. NO.page 3 >
Rev.
8-11-1997 11:36AM FRCN h1PR pSSpp[pTE9 [Np 783 519 822<1 P. 32
303132333435
11434446474849505152
0.22886SE-02p 237420E-02p.24O4$ 3B-OZ
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p c
0.86547$ E-03
0. 309341E-010.3303498-010. 324541E-01
0,0 ~ 29497 SE-010.261259E 010. 239450E-01
0.0.233336B-OI0.212958E-010 e183726B-010. 11606$ E-010. 13 1627 E-010 ~ 1233 85E-010.116105E 010.777108E-020.289997E 02
0.0. 1526768-02
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00. 124$ 48E-020.918046E 030.684355E-03
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* ANSYS ENCZNEERING ANALYSIS SYSTEM RELEASE 5.3ANSYS/Mechanical40197CHG VERSION>SOLARIS 09: 21: 28 AUC 09, 1997 CP= 1. 271FOR SUPPORT CALL EdNaxd Sird PHONE 703 519-0410 FAX 703-S19-0224
DEGREE OF FREEDOM SOLUTIONLOAD STEPa 1 SUESTEP a 1 CUM.
TIME a 1.0000ITBRe ~ 1
NOTE - ALL VECTOR OOPS ARE ZN NODAL COORDINATE SYSTEMS.
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0.552$ 58E-020.310761B-OZ,0.356$ 71E"040. 416 580E-02
ROTE ROTY ROTZ
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0.83$ 437E-O40.269559E-040.1757678-040.257261E"03
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i ANSYS - KNCZNEERZNC ANALYSIS SYSTEM RELEASE 5.3ANSYS/Mechandcal40197CHG VERSZONaSOLARIS 09 ( 21 > 28 AUG 08, 1997 CP~ 1.288FOR SUPPORT CALL B@racd Bird pHONE 703-$ 19-0410 FAX 703 519-0224
QP,LQ. h1O. 6/4-ZZ- ~os Page
Rev.
@-11-1997 11:37AM FROM MPR /29SPC1/2TE9 INC 783 519 8224 P. 33
NOTE ALL VECTOR DOSS ARE IN NODAL COORDINATE SYSTEHS
NODE107108112113
III119120121122123224125226127
UX0.2946348-02
-0.2547998-02-0.2492768-02-0.2406458-02-0.2150688-02-0.4310798-07-0. 1894868-02.-0. 1461228-02-0.1069498-02
0.oa0.
-0.1077498 030. 1450998-03o.33o6a8E-09
':
0.
UY-0.344909E 02-0. 2628118-020. 101310E-02
-0. 8813218-030.659892E-030. 116977E-04
-0.443383E-030. 122830E 030.1848998-04
0.Oe
-0.125000'.124990-0.1245990.125000
0.0.
U?0.5528678-020 '52673E 020.330961E 04
-0.3780318-03-0.739799E-03-0 '543178-03-0.1002438-02-0.2238558-02-0.1136638-02
0.0.0.
0.64588SE-04-0.2057068-04
0. 563712E-090.0 ~
ROTX-0 '207388 030.1971698 03
-0.8546448 04-0.7881908-04-O.7211458-04-0.2935198-04
0 ~ 667908E oh-0 ~ 6300298-04
0.4648118 04
0.0.
0.1173608-04-0 '441208-04-0.5852438-09
ROTY0.759017K 040.960827E-040.115995E 030.120716E-O30. 121178E-030. 6510108-040. 1198578-030 '080318-030. 1029028-03
0.0.
0.151007E-040.3123848-040.4049328„-09
ROTE'0.1801928-03
8358328-040-1'159328-040 2684928 040. 3281028-040.336909E-040.3806658-040.4873598-040 ~ 6209058-04
0.0.
0.2369188 040 - 1829 52E-040.259268E 09
MAXIMUMSNODE 83 122VALUE -0 ~ 1565378" 01 ~ -0 o 125000
1
12-0 '386638-01
78-0. 1398918-02
750.264560E-03
790.6150528"03
ANSYS ENCINEERZNC,ANALYSIS SYSTEM RELEASE 5 'ANSYS/Mechanical40297CHC VERSZONeSOLARZS 09'.21:28 AUG 08, 2997 CP> 1.297FOR SUPPORT CALL Edward Bird PHONE 703-519-0410 FAX 703 519-0224
~~ ~ ELEMENT SOLUTION ~"~*"LOAD STEPe 1 SUESTEP s 1
K
ELi 90 NODES'15 121 MATiSFACTle 1.0000 SFAQTJs 1.0SINE~ 371.70 S3MN~ -342.11
ANGLE 0 45END I SAXL 340 ~ 48 305 ~ 91
SRAD 0 O.SH D. 0.
SXH 74.595 105.06Sl 356.10 338'.52S3 -15.626 -32.608
SINT 372 o 73 371 ~ 13SEQV 364.17 35S.94
EPELAXL 0. 0000122 0 ~ 0000110EPELRAD 0.0000037 0.0000033
EPELH -0.0000037 -0,0000033EPELXH 0.0000070 0.0000098~ J SAXL -118.54 '19.057
SRAD 0 a 0.SH 0. 0,
SXH 74.595 105'.06Sl 36.005 95.966S3 154.54 '-115.02
SZNT 190.55 Z10.99SEQV 175.34 182.97
EPELAXL -0.0000042 -0.0000007EPEZRAD 0.0000013 0.0000002
EPELH 0.0000013 0.0000002EPELXH 0 '000070 0 ~ 0000098
FORCES ON ~ER AT NODE 115 88121 88
TIME = 1.0000CUH. ITER.i 2
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EL< 89 NODES~ 115, 120 PORC~ 431.08 STRETCH~ 0 I 000000 RATE~
ELs 86 NODES'19 '15 MAT> 1SFACTI~ 1.0000 SFACTJ~ 1.0000SIR(~ 361.68 S3HNi ~353.79 SZNTNXi 316.69 SEQVHX~ 366.63
Ala'CL8 0 45 90 135 ~ 180 225END I SAXL 27.791 45 '36 98 '38 99 927 48,847 -2h.680
SRAD 0. '. 0. Oo 0. 0 ~
SH 0 ~ 0. 0. 0. , 0. 0.SXH 74. 595 32. 531 15. 138 32. 605 74.700 116.76Sl 61. 982 ~ 62 ~ 632 100. 91 109 ~ 62 103 ~ 01, 105. 07S3 -89.173 -16.896 -2.2709 9.6915 -S4.168 -129 ~ 75
SINT 151.76 79.528 103.18 129.32 157 F28 234.83SEQV 132.16 72. 571 102.06 114.18 138.30 203.74
EPELAXL -0 ~ 0000010 0.0000016 0 ~ 0000035 ~ 0.0000036 '.0000018 -0.0000009eELRAD 0.0000003 "0.0000005 -0.0000011 -0.0000011 -0 ~ 0000005 0 ~ 0000003
EPELH 0.0000003 -0.0000005 -0.0000012 -0.0000011 -0.000000$ 0.0000003PELXH 0.00000'10 0.0000030 0 ~ 0000014 0-0000030 0.0000070 0.0000109
110 AO See oc~ ca 'll4ll 'tl1,'t c'hvr. eA a Ae 1ac 41
0.2000008~12
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31$-18. 812
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-162. 61246.35216.96-0.0000028
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1 01 'la
STR PIP
CALC. NO. Sl -s3-+o Pege~l
Rev.
,8-11-1997 11:37AM FROM WPP ASSPC1ATE9 INC 783 519 8224 P. 34
SXH 74 ~ 595 32. 531Sl 356 F 10 309.33S3 15.626 -3.4211
SINT 371.73. 312. 75, SZQV 364.17 311. 06
EPELAYL 0. 0000122 0. 0000110ZPZLRAD -0.0000037 -0.0000033
EPELH -0.0000037 -0.0000033ZPZLXH 0.0000070 0.0000030ES ON MEMBER AT NODE 119 88'15 88
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ZPELAXL 0. 0000023 0. 0000026 0.0000018 0. 0000005EPELRAD -0.0000007 -0.0000008 -0.0000005 -0.0000001
ZPZLH -0.0000007 -0.0000008 "0.0000005 0.000000]EPELXH 0. 0000077 0. 0000108 0. 0000130 0. 0000128
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SDK 213. 19 175. 99 242. 48 322. 62SEQV 210. 69 159. 35 212. Sl 293.41
EPELAXL 0.0000073 0.0000033 0.0000023 -0.0000064EPELRAD -0.0000022 -0.0000010 0.0000007 0.0000019
EPZLH -0 ~ 0000022 -0.0000010 0.0000007 0 ~ 0000019EPELXH 0.0000030 0.0000070 0.0000109 0.0000125
FORCES ON ?~ER AT NODE l]8 187.502 176 '93119 88.4868 "176 '93
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EPELAXL 0. 0000041 -0,.0000022 0. 0000014 0. 0000045EPELRAD 0.0000012 0.0000007 -0.0000004 -0.0000014
ZPELH 0.0000012 0.0000007 h0.0000004 0.0000014EPELXH 0.0000102 0.0000124 0.0000121 0.0000096
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ZPZLH , 0 ~ 0000007 -0.0000008 -0.0000005 "0.0000001EPELXH 0. 0000077 0. 0000108 0. 0000130 0. 0000128
FORCES ON MEMBER AT NODE 117 176.681 ~176.993118 187.502 -176.993
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83 4Q,QQ5 89 ~ 066 -131 ~ 84 141 ~ 79SZNT 92 ~ 949 149 ~ 30 222.28 266.19SEQt 80.756 130 ~ 10 193 ~ 61 230. 69
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FORCES ON MEMBER AT NODE 114 176.682 -88.4868117 176.681 -88 '868
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EPELAXL 0.0000008 0.0000006 0 ~ 0000022 0.0000031EPELP»AD 0.0000002 -0.0000002 -0.0000007 -0 ~ 0000009
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FORCES ON MEMMR AT NODE 113 230.964 -88.4868114 176. 681 -88. 4868
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FORCES ON MEMSER AT NODE 112 250.086 -88.1851113 230. 964 -88. 1851
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EMBER AT NODE 104 250 '86 -88.1851 -0.220852112 250.086 -88.1851 -0.220852
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CALC. NO. -33" /ddtpage~4
Rev.
i8-11-1997 11:48AM FROM MPR ASSOC(ATES INC 783 519 8224 P. 37
-p.pp00017 -0.0000016 -0 ~ 0000007 O.pppppp4 0.0000011Q.0000071 0 ~ 0000085 0.0000091 0,000
0000000 0 ~
EPTHFAD 0.'0000000 0.0000000 0.'0000000 0.0000000 0.0'000000p.oppooop 0.0000000 0.0000000 0.0000000 0.0000000
FORCES ON MEHSER AT NODE 102 250.086 -88.1851 -0.220852103 250.086 -88.1851 -0.220852
77 BODES« 108 102 ÃAT-CTZe 1.0000 SFACTJ~ 1.0000
SXMX« 354.11 53MN« -295.59 SZNTMX« 371 77 SKO~~ 3
ANGLE 0 45 13S 180END I SAXL 334.32 270. 57 65.759 -160.15 -274. 81
'SRAD O. 0. 0. 0. '.SH 0. 0. 0. 0. 0.
sXH 76 '24 91 477 97 '61 91.552 ''?9$ 1 351.05 298 ~ 60 135.93 41 555 19 972S3 -16.725 -28.025 -70.167 -a01.70 -294.78
SINT 367.77 . 326.62 206.09 243.26 314'75359.70 313.55 '81.49 225 37 3Q5
EPELAXL 0.0000120 '0.0000097 0 ~ 0000024 p ppp0057 -0.0000098EPELFz D -0 ~ 0000036 -0.0000029 -0.0000007 O.ppppp17 Q.pppQQ3Q
EPELH -0.0000036 -0,0000029 -0.0000007 p pppppl7 0.00000300.0000071 0.0000085 0,0000091 Q,QQQpp85 p ppppp72
END J SAXL 33d.23 270 '1 65.759 -160,09 -274,72SRAD 0. 0. 0. 0. 0 ~
SH 0. 0. 0. 0. 0 ~
SXH 76.624 91.477 97-661 91 ~ 552 76.729Sl 350 ~ 96 ~ 298,54 135 e 93 dl ~ 565 19.977S3 16.729 -'28 ~ 030, "70 ~ 167 -201 ~ 65 -294.70
SINT 367.69 326.57 206.09 243.22 314.68SKQV 359.62 313.50 181 '9 225.33 305.18
EPELAXL 0.0000120 0.0000097 0.0000024 -0.0000057 0.0000098EPELRAD -0.0000036 -0.0000029 -0.0000007 0 ~ 0000017 0.0000030
«PELH "0.0000036 '0.0000029 -0 ~ 0000007 0.0000017 0 ~ 0000030EPELXH 0.0000071 0.0000085 0.0000091 0 ~ 0000085 0.0000072
FORCES ON MEMBER AT NODE 108 250.086 -88.1852 0.220852102 250.086 -88 ~ 1852 -0 '20852
0.00000090.00000580.00000000.00000000.00000001874.531874.53
63.262'2 5
211. 070.0 ~
61. 87616.8oa
-227.87244.67236.72
0.00000760.00000230.00000230 ~ 0000058
-211. 000.0.
61. 87616.806227 '1244 '2236.66-0.0000076
0.00000230 ~ 00000230.0000058
1874.531874.53
0.00000010.00000520.00000000.00000000.0000000
440.103434.8O3
-0.00000100.00000580.00000000.05000000.0000000
-3721. 83-1605 ~ 39
270-6.2500
0.OI
55.692sa.655
315 .
219.660.0.
61. 801235.85
58. 905 16. 194111. 5696. 664
0.00000020. 00000010 ~ 0000001o.ooooosa
-6.2498
252.04244.35
0.0000079-0.0000024-0.0000024
0.00000582X9.59
0. 0.0. 0.
55. 592 61. 80152.655 235.79
-58. 905 -16.198111. 56 251. 9996 '64 244.30-0.0000002 0.0000079
Oe000000X -0.00000240.0000001 -0.00000240.000005'2 0.0000058
440.106 -3722.89440.103 -3721. 83
STR PIP
566.78135
529.070.0.
22.165530.00
0. 92701530 '2530.46
0 ~ 0000190-0.0000057-0 ~ 00000570. 0000021
425.730.0.
91.477444 '5)8.824463.37454.250. 0000153
-0.0000046-0 ~ 00000460.0000085
220852220852
EL«81 NODES< 107 108 MAT«1SFACTZa 1.6443 , SFACTJ«'.6443SXMX> 565. 17 S3MNe -512. 07 SINTMX«
ANGLE 0 45 90END I SAXL 191.89 217.45 516.08S
SRAD 0. 0. 0.SH 0 ~ 0 ~ 0.
SXH 68.707 '0. 691 41.413Sl 22.063 233 '4 519.3883 -213.95 -15.792 -3.3020
SZNT 236.02 249.03 522.68SEQV 225. 80 241. 52 521. 04
EPELAXL 0.0000069 0.0000078 0.0000185EPELRAD 0.0000021 -0.0000023 -0 ~ 0000055
EPELH 0.000002X -0.0000023 0.0000055EPELXH 0 ~ 0000064 0 ~ 0000057 0.0000039
E!G) J SAXL -29.447 342.00 530.54SRAD 0. . 0. 0.
SH 0. 0. 0 ~
SXH 55. 692 61. 801 76. 624Sl 42. 882 352. 83 541 ~ 39S3 -72. 329 -10 ~ 825 -10. 845
SENT 115e21 363.65 552.23slav 100.86 , 358.36 546.89
EPELAXL "0 ~ 0000011 0. 0000123 0.0000190EPEIRAD 0.0000003 0 ~ 0000037 -0.0000057
EPELH 0.0000003 -0.0000037 -0.0000057EPELXH 0.0000052 0.0000058 0.00000'7l
FORCES ON MEHBER AT NODE 107 239. 193 0.108 250.086 0.
SEQVMX« 565.98180 225
248.81 160.530. 0.0. 0.
14.22422.?40'49.62
3.02410. 81051 -16'3. 55
250.,43 166. 58250.03 X65 ~ 09
0,0000089 0.00000580.0000027 0.0000017
-0.0000027 0.00000170.0000013 0 ~ 0000021
88.956 282.49~ 0. 0.0. 0.
97. 661 91, ~ 552151.79 27.075
-62.834 . -309.57214. 62 336 ~ 65191.12 323.960. 0000032. 0. 00001010.0000010 0.0000030
-0.0000010 0.00000300.0000091 0.0000085
114. 481 1013 ~ 71"88 ~ 1851 1874. 53
270 315-459 ~ 16 -d'72.15
0.0.
41.518
0.0.
60.7653.7239 7.6949
-462.88 -479 '5466.61 48'd464.76 483.74-0.00001650.00000490.00000490.0000039
-0. 00001690.00000510.00000510.0000057
-471.03 -366.220. 0.0. 0.
76 ~ 729 61. 87612. 184 10. 172
-483.22 -376.39495 '0 386.56489. 42 381. 5$ ~
-0 ~ 0000169 -0.0000131"0.0000051 Oe00000390 ~ 0000051 0.00000390.0000072 0.0000058
3624.99 1638.103722. 89 440. 106
80 NODESa 106'07 MAT 1SFACTZ 1.6443 SFACTJ 1.6443SXMXa 565.17 S3MN« -512. 07 SINTMXe
!Q:GLE 0 45 90mD I SAXL -241.93 47.7O3 '15 '4
SRAD 0'e 0. 0.SH 0. 0. 0.
SXH dl ~ 426 23. 959 -18 ~ 136Sl 6. 8967 57. 659 316. 58S3 -248. 83, -9 ~ 9554 -1 ~ 0390
SINT 255.72 67 '14 317 '2SKQV 252 ~ 34 63,227 317. 10
EPELAXL 0 ~ 0000087 0 ~ 0000017 0-0000113EPELFAD 0.0000026 -0.0000005 0.0000034
EPELH '.0000026 -0.0000005 -0.0000034EPELXH 0.0000039 0.0000022 -0.0000017J SAXL -191. 89 217. 45 516. 08
sean n ~ n O.
566 '8135
4O4.6800.
-60.200413. 458.7655422.214X7.90
0. 0000145-0.0000044-0.0000044-0.0000056529.07
0.
180262.91
22526.719
0:0.
-77.593284.10
-21 ~ 192305.30295.27
0.0000094'0.0000028
-OI0000028-0.0000072248+81
n.
0 ~
0.-60.126.
'8.232
-74.952123.18107.51-0. 00000100.00000030.0000003
-0 ~ 0000056-160.53
0.
SEQVMX« 565.98270
-294.550.0.
-18.0311.0997295.65296.75296oao-0.00001060.0000032Oe0000032
-0.0000017-459.16
0.
315383.70
0.0.
24.0331.4995
-385.20386.70385.95-0.00001380.00000410. 00000410.0000022
-472.150.
CALC. No. / -ZZ - P'a (0page ~~Rev.
3.0241-163. $ 5
166.5816$ .09,-O.OOOC058
0 ~ 00000110.00000170. 0000021-442. 0911013.71
SI. 22. 063 233. 24 519. 38 $30. 00 249, 62S3 213. 9S -15.792 -3. 3020 -0 ~ 92701 -0. 8IOSI
SINT 236. 02 249. 03 522. 68 530,92 2$ 0. 43225. 80 241. 52 S21. 04 530 ~ 46 250 ~ 03
EPELAXL -0.0000069 0 '0000018 0 0000185 0 '000190 0.0000089gpELRAD 0.0000021 -0 '00'00023 -0 ~ 00000$ $ -0.0000057 -0.0000027
EPELH 0.0000021 -0.0000023 -0.0000055 -0 ~ 0000051 -0.0000027PELXH 0.0000064 0.0000057 0.0000039 0.0000021, 0.0000013S ON MEMBER AT NODE 106 88.1851 0.220852 250.086
107 239.193 0.220852 114.481
EL~ 16 NODESa 95 106 MAT«« 1
SFACTle 1.0000 SFACTJ~ , 1.0000SIMX< 263. 96 S3MNn -232. 01 SINTMXr 211. 69 SEQVMX„27
ANGLE 0 45 135 180END I SAXI, »111. I'2 33.242 154.28 205,23
BRAD 0. 0. 0. 0. 0.SH 0. 0. 0 ~ 0. 0 ~
SXH -18 ~ 136 -60 ~ 200 -71.593 -60.126 -18 ~ 031SI 2.8851 '9.073 195 ~ 13 221-$ $ 134 ~ 52S3 -114.01 -45.831 "30.854 "16 ~ 318 -2.4168
SZNT 116. 89 124. 90 225. 99 231. 86 136. 94SEQV IIS.48 109,44 212,25 230.14 13$ .75
EPELAXL -0.0000040 0.0000012 0.0000059 0.0000074 0.0000047EPELRAD 0.0000012 0.0000004 -0.0000018 0.0000022 -0.0000014
EPELH 0.0000012 -0.0000004 0.0000018 -0.0000022 -0.0000014EPELXH -0.0000017 -0.0000056 -0.0000072 -0.0000056 -0.0000017
END J SAXL 196.01 250.23 164.01 -12.139 -17$ .03SRAD 0. " 0. 0. 0. 0 ~
SH 0. 0. 0. 0. 0.SXH -18.136 -60.200 -77.593 -50.126 18.031Sl 197.68. 263 '6 194.90 54 '62 1.8382.S3 -1.6639 -13.730 -30 '91 -66.$ 01 -176.87
SINT 199.34 277.69 225.79 120.86 178.70SEQV 198.51 271.08 212.04 104.85 177.79
EPELAXL 0.0000070 0 '000090 0 '000059 -0 ~ 0000004 -0.0000063EPELRAD -0.0000021 -0.0000027 -0.0000018 0.0000001 0.0000019
EPELH -0.0000021 -0.0000027 -0 ~ 0000018 0.0000001 0.0000019EPELXH 0.0000017 -0,0000056 «0.0000072 -0.0000056 0.0000017
FORCES ON ABER AT NODE 95 BS.1851 2$ 0.086 "0.220852106 88.1851 250.086 -0.220852
I ~ 08225
12.2580.0.
24.033'8.673
30.931'9.604
43.394-0.0000004
0.00000010 ~ 00000010.0000022
229 '40.0.
24.0332.4924
-231.74234.23232.99.
0»00000820.00000250.00000250.0000022-442.091"442.091
,8-11-1997 11l48AM FROM MPR ASSPC)ATES (NC 783 519 8224
3.7239 7.6949462.88 -479.85466. 61 481. Sa464 ~ 76 483.74-0 ~ 0000165 -0. 0000169
0.0000049 0.00000510 ~ 0000049 0.00000510.0000039 0.0000057
2267.73 1876.513624.99 1638.10
270 ~ 315-143.29 -184.25
0. 0.0. 0.
41.426 23 '5911.114 3.0645
-154 ~ 41 -181 ~ 3116$ .52 190.37160.25 188.85-0.0000051 "0.00000660.0000015 0.00000200 ~ 000001$ 0.00000200.0000039 0.0000022
-143.02 33.1230. 0.0. 0.
41.426 23.95911. 132 45. 687
-154. 16 -12. 564165.29 $ 8.251160.01 53 '96-0.0000051 0.00000120.0000015 0.00000040.000001$ -0.00000040.0000039 0.0000022
1879.83 1485.551875.$ 1 -2267.73
P. 38
z'./s.(
STR PIP
ELi 75 NODESa 95 100 FORC= 39.084 STRETCH~ 0.000000 RATEn 0 ~ 100000E+ll
72 NODES~ 99 95 HATn 1In 1.0000 SFACTJ~ 1.0000
299 60 S3IQI~ 269 ~ 85 SZNTMX+ 309 ~ 66ANGLE 0 45 90 135
END I SAXL -233.88 -67.048 145.20 278.54SRAD 0. 0. 0. 0.
SH 0. 0. 0. 0.SXH -8.8358 .-53.624 -77 ~ $ 93 -66.702Sl 0.33334 29.'716 178 '6 293.69,S3 -234.21 96 '65 -33 '60 15.149
SXNT 234.54 125.48 212 '2 308 '4SEQV 234.38 114.55 191,85 301.55
EPELAXI -0.0000084 -0 0000024 0.0000052 0.0000100EPELRAD 0.0000025 0.0000001 -0.0000016 0.0000030
EPELH 0.000002$ 0.0000007 0.0000016 -0.0000030EPELXH -0.0000008 "0.0000050 -0.0000072 0.0000062
END J SAXI 111.12 33.242 164.28 ZOS.23SRAD 0. 0 ~ — 0» 0»
SH 0. 0. 0 ~ 0.SXH -8.8358 53.624 -'11.$ 93 66.702Sl 0 '9S19 72.762 195,13 225 00S3 -111.82 -39.520 -30.854 19.774
SINT 112.52 112.28 225 '9 244.78sEQV 112.17 98. 649 ~ 212.25 235,51
EPELAXL -0. C000040 0. 0000012 0. 0000059 0.0000074EPEIRAD, 0.0000012 -0.0000004 0.0000018 0 ~ 0000022
EPELH 0.0000012 -0,0000004 -0.0000018 «0.0000022EPELXH -0.000000S -0.0000050 -0.0000072 -0.0000062
FORCES ON MEMBER AT NODE 99 88 1851 250 '8695 88. 1851 250. 086
SEQVMX~ 30180
254.86
0.-27 '31257.76
-2.S980260.66259.22
0;0000091-0.0000027-0.0000027-0.000002S132.11
0.0.
-27.331137.54
-5. 4312142. 97140.33
0 ~ 0000041-0.0000014-0.0000014
0.000002538.863238.8632
4.75225
88.032 ~
0.0 ~
17. 45791,3683.335394.70393.0800.0000032
-0.0000009-0.00000090.0000016
-12.2580.0.
17. 45712.372
-24.63037.00332.626-0.0000004
0 ~ 00000010.00000010. 0000016
442 ~ 091-442. 091
270 315-124.22 257.56 '
~ 0.0. 0.
41 ~ 426 30 ~ $ 3$12.548 3.5706
"136.77 -261.13149.31 264.70143.45 262.93-0.000004$ -0.00000920.0000013 0.00000280.0000013 0.00000280.0000039 0.0000028 ~
-143.29 -184.250. 0.0. 0»
41.426 30.53511. 114 4. 9287
-154,41 -189.17165.52 194 ~ 10
'60.2$ 191. 69«0,0000051 -0.0000066
0 0000015 0 ~ 00000200.0000015 0.00000200.0000039 0,0000028
1646.65 2987,071879.83 1486.$ 6
STR PIP
EL=, 74 NODESn 98 99 MATn 1SFACTIn 1.0000 SFACTJn 1.0000SIHXn 645.89 S3MNe -590.62 SZNTMXn
ANGLE 0 45 90END I SAXI 81. 843 501.07 643 ~ 44
SRAD 0. 0 ~ 0.SN 0. 0. 0»
SXH -6.3691 -.4. 9294, 11. 62$Sl 82.335 501.12 643. 55S3 0.49268 -0.48490E-01-0.20994
SINT 82.828 501.16 543.86SEQV 82.583 501.14 643.76
t»DIRT %'vT n nnnnnvo h hhhhlhh h hhnhO'll
646.02135
42$ .$ 7»0 ~
0»33.$ 96428. 21
-2.6358430.84429.53n.onnnts1
SEQVKGs 645.96180 22$
24 926 444» 150 ~ 0.0» 0,
48.114 46 ~ 61437.239 4.8518
-62. 164 -449. 0099.403 453'8586»983 4$ 1.4S-n nnnnnne C.nnn0159
270-586.$ 3
0.0.
30.1201. 5421
-$88.07589.61588»84-0.0000210
31$-368 '5
0.0.
8.14880.18004-368.83369.01368.92-0.0000132
CALC. NO. ~i4 3z- ohioPage 4c
Rev.
0
0 0000028 0 0000008-233.88 -67.048
0.0000045124. 22
0.0.
42.42612 548
-236.77149 31243.45-0.0000045
0 ~ 00000130.00000130 '000039
-214,481250.086
0 ~ 0000043-257 '6
0. '
~ ~
30.5353.5706
-261. 13264.70262.93-0 ~ 0000092
0 '0000280.00000280.0000028
510. 268-442.092
EPELXH -0. 0000006 -0.0000005 0 0000011 0. 0000031J SAXL 145.20 2'78 ~ 54 2S4.86 88.032
SRAD 0 ~ 0. 0. 0.SH O Q. 0.
SXH 77,593 . -66.702 -27.331 27.457178. 86 ~ 293 ~ 69'57 ~ 76 91.36833 660')S T )49 -2 '980 3,3353
SZNT 212.52 308.84 260.66 94.703SEQV 197.85 301 ~ 55 2$ 9-22 93 ~ 080
ELAXL 0.0000052 0.0000100 0.0000091 0.0000032EpELRAD -0.0000016 0.0000030 -0 ~ 0000027 Q.QOOQ009
EPELH -O.OOOOO)6 -0.0000030 -0.0000027 -0.0000009EPELXH -O.0000072 -O.OOOQO62 -0 '000025 O.OOOOO)6
FORCES ON MEMBER AT NODE 98 239.293 38,863299 88 ~ 1851 38.8632
95 MODESTY 98 126 PORC~ 1.6460 STRETCHe
0 ~ . o.0. 0.
-8.8358 -53.6240. 33334 29.716-234. 21234.54234.38-0.00000840.00000250.0000025
-O.OOOOOOB
-96 '65226.48114 ~ 55
0.0000024Oa00000070.00000070.0000050
7517.32 -652.5492987.07 -1646.65
0.005487 RATE+ 300.000
,8-11-1997 11:41~ FROM 1hpR A99pp(ATp9 1'83 619 8224 P. 39
ELa 73 NODESe 97 98 HAT= 1SFACTZe 1.0000 SPACTJ< 1.0000S)HX* 677 ~ 15, S3HN -619. 06 SINTMX 677. 26 SEQVMXs 677 ~ 20
ANCLE 0 45 90 135 180 225END I SAXL -29. 459 443. 67 674 e33 $27.41 88.968 -384. 16
SRAD 0 a 0.. 0. 0. 0. 0.SH 0» 0. 0. 0.'. 0.
SXH 40.257 27.687 10 ~ 417 -1.4352 -0.92751 11 ~ 643Sl 28.138 445.39 674.49 527.41 88.978 0 ~ 35255S3 57.$ 97 -1.7211 -0.16089 -0.39057B-02"0.96685E-02 384 ~ 51
SINT 8$ .735 447. 11 674. 65 S27. 41 88. 988 3 84, 86SEQV 75.695 446.25 674.57 527.41 88.9S3 384.69
EPELAXL -0. 0000011 0. 0000159 0 ~ 0000242 0. 0000189 0. 0000032 -0 ~ 0000138EPELRAD 0. 0000003 -0. 0000048 0. 0000073 -0. 0000057 -0. 0000010 0. 0000041
EXELH O.OOOOOO3 -O.OOOOO48 -O.OOOOO73 -O.OQOOO$ 7 -O.OOOOO)O O.OOOOO41EPELXH 0.0000038 0.0000026 0.0000010 -0.0000001 -0.0000001 0.0000011
EHD J SAXL 81.70$ 500.93 643.30 425.43 -25.064 -444.29SRAD 0. 0'.'. 0. 0. Qa
SH 0. 0 ~ 0. 0. 0. . 0 ~
SXH 6,646] -5.)2S3 11.625 33 '91'8.391 46.870Sl 82.242 500.98 643 AS) 428.10 37.455 4.8906S3 0.53708 -0 '2434E-O)-0 '0999 2 '573 =62 '19 -449-18
SINT 82.779 '01.03 643.72 430.77 99.974 '454 '7SEQV 82. 511 501.0) 643.62 d29.44 8'92 451.64
EPELAXL 0.0000029 0.0000280 0.0000231 0.0000152 -0.0000009 -0.0000159EPELRAD -0 ~ 0000009 0.0000054 -0.0000069 -0.0000046 0.0000003 0.0000048
EPELH 0.0000009 -0.00000S4 -0.0000069 0 ~ 0000046 0 ~ 0000003 0 ~ 0000048PELXH -0.0000006 0.0000005 0.0000021 0:0000031 0.0000045 0.0000044S ON MEMBER AT NODE 97 250.086 38 '632 86.5391 480 '52
98 238 '30 38.8632 115.645 510.268
270-624.82
0.0.
28. 9132.35676)6.)76 7.53616. 85-0.00002200.00000660.00000660.0000027
-$86.660 ~
0.30 ~ 120
315-467. 90
0.0.
40.7653.5251
-471 ~ 42474.9$473.20
0.00001680.00000500.00000500.0000038
368.790 ~
0 ~
7.95301.$ 423 0.17143588.21 -368.96589.7$ 369.13588.98 369.05-0.0000210 -0.00001320.0000063 0.00000400.0000063 0.00000400.0000028 0.0000007
7879.00 723.8057517.32 652.$ 49
EL~ 69 NODES~ 94 97 MAT+ 1SFACTZa 1.0000 SFACTJ~ 1.0000S)MXi 677. 1$ S3MNe 619. 06 SINTMX~ 677 ~ 26 SEQVMX< 677. 20
ANCLE 0 4$ 90 135 180 225 270 3)5BH) Z SAXL 548.63 -442 F 11 -59.283 37$ .85 608.14 50).62 118.69 316.34
SRAD 0. 0. 0. 0. 0. 0. 0. 0.SH 0. Oe 0. 0. 0. 0. 0. 0.
SXH 28. 913 40 ~ 765 40. 257 . 27. 687 1+427 -1. 4352 -0. 92751 21. 643S) 1.5195 3.7273 20.372 377.87 608.'32 $01.63 118.70 0.4279553 -550.15 -44S.84 79.5$ 5 -2.0286 -0.17839 0.41065E-02-0.72475E-02 -316.76
SINT SS1. 67 449. 57 99. 926 379. 90 608. 50 501. 63 118.71 317. 19SEQV 550. 91 447. 72 91. 4$ 8 378 ~ 89 608. 41 501. 63 118.70 316. 98
EPELAXL 0. 0000197 -0. 0000158 -0. 0000021 0.0000135 0.0000218 0 ~ 0000180 0. 0000043 0. 0000113EPELPAD 0.0000059 0.0000048 0.0000006 -0.0000040 -0.0000065 -0.0000054 0.0000013 0.0000034
EPELH 0 0000059 0 ~ 0000048 0.0000006 -0.0000040 0.0000065 "0.0000054 -0.0000013 0.0000034'PELXH0.0000027 0.0000038 '.0000038 0.0000026 0.0000010 0.0000001 -0.0000001 0.0000011
BS J SAXL -614.82 ~ -467.90 29.4$ 9 443.67 674.33 527.41 88 '68 -384 AD )6SRAD 0. 0 ~ 0, 0. 0. Oe 0. 0.
SH 0. 0 ~ 0 ~" 0. 0. 0. 0. o.
SXH 28,913 40.765 40.2$ 7 27 '87 10 ~ 417 1.4352 -0 '2751 11.643Sl', 1.3567 3 ~ 5251 28.138 44$ .39 674.49 527.41 88.978 0 ~ 35255S3 -616.17 -471.42, 57.597 -1.7211 -0.16089 -0.39057E 02 0.96685E-02 -384.51
SINT 617. 53 474. 95 85.735 447.11 674. 65 527. 41 88. 988 384 ~ 86SEQV 616.85 . 473.20 75 ~ 69$ 446.25 674.$ 7 527.41 88.983 384.69
EPELAxL -0. 0000220 -0. 0000168 -0. 0000011 0. 0000159 0. 0000242 0. 0000189 0. 0000032 -0 ~ 0000138EPELRAD 0.0000066 0.0000050 0.0000003 -0.0000048 -0.0000073 "0.0000057 -0.0000010 0.0000041
EPELH 0 '000066 0 ~ 00000$ 0 0 ~ 0000003 0 ~ 0000048 -0.0000073 0.0000057 0.0000020 0 ~ 0000042EPELXH 0.0000027 0.0000038 0.0000038 0.0000026 0.0000010 -0.0000001 -0.0000001, 0.0000011
FORCES ON MEMBER AT NODE 94 250 '86 -86 '391 38.8632 '80.752 -1007.14 7069.93
STR PIP
97 2$ 0.086 -86.5391 38a8632 480.752 -723.805 7879.00
EL- 71 NODES>SFACTZ~ 1.0000S)MXr 61$ ~ 03
AHCLE 0Sh:CL $ 40.24SRAD 0.
SH 0.OYER a» ee4
93 94 HAT~ 1SFACTJa 1.0000
83MNi -557 ~ 26 SINTMX>dS 90
458.01 125 F 080. 0 ~
0. " 0.4'7.427 '%R.68'2
6)5.11135
-263.$ 10 ~
0.62„OeO
SEQVHX~180
-480.140.0.
1S 493
62$ .07225
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-327.79430.533S9.53-0.0000082
0.00000240.00000240.0000172
"319 ~ 51
315250.30
P.0.
236.64392.85142. 55535»40480»26
0.0000090-0.0000027-0.00000270. 0000221
-39.160n.
CALC. NO. -53- <+dr'age ~~
Rev.
,8-11-1997 11:44AM FROM MPR ASSOC(ATES
354 ~ 54 ~ 554 ~ 05 515, 85 Zgp, 11S3 -69.864 -91.74$ -126. 18 180 '9
SZNT 424. 41 645. 80 642. pd 470 91SSQU 394.15 605.15 589.17 411,46
FPELAXL 0.0000102 0 ~ 0000166 0 ~ 000014P O.OOPP039EPELRAO 0 ~ 0000033. "'0 F 00000'50 -0 ~ 0000042 -0 ~ 0000012
EPELH -0.0000031 -0.0000050 0.0000042 -P,PPPOP12EPELXH 0.0000147 0 ~ 0000210 0.0000238 0.0000213
ON HEMBER AT NODE 77 '254.360 400.19478 294I847 -400 '94
El. 55 NODESa 68 77 MAT 1SFACTZa 1.0000 SFACTJa 1.0000S1MXa 873. 90 83MNa -742-94 SlhTMXa lp07, 3
ANCLE 0 45 90 135END I SAXL -64'6 -599.85 -183.53 359.03
SRAD 0 0 ~ 0. 0.SH 0. 0. 0. 0.
SXH 243.25 186 ~ 34 183. 60 235. 64Sl 81. 246 S3, 170 113 ~ 49 475. 74S3 728. 30 -553. OZ -297. 02 -117. 71
SZNT 809. SS 106.19 410. 50 593.45SEQV 712.14 681.16 367 ~ 16 544.23
EPELAXL -0. 0000232 -0. 0000215 "0. 0000066 0. 0000128EPELRAD 0.0000070„ 0.0000064 0.0000020 -0.0000038
EPELH 0.0000070 0.0000064 0.0000020 -0.0000038EPEZ XH 0. 0000227 0. 0000174 0 ~ 0000171 0. 0000221
END J Side -536.14 -550 '2 -224.96 250 '0BRAD 0», 0. O. '.
SH 0. 0. 0. 0.SXH 243.2$ 186.34 , 183.60 235.64Sl 93.915 57.122 102.83 392 F 85S3 -630.06 -607.84 -327.79 -142.55
SZNT'23.91 664.96 430.63 535.40SEQV 681.88 638 '2 389.53 480.26
EPELAXL -0. 0000192 0. 0000197 -0 e 0000081 0 e 0000090EPElRAD 0.00000SB 0.0000059 0.0000024 -0.0000027
EPELH 0.0000058 0.0000059 0.0000024 -0.0000027EPEZXH 0.0000221 0.0000174 0.0000171 0.0000221
FORCES ON MEMBER AT NODE 68 254.360 400.19471 254. 360 400. 194
INC 783 519 8224
87 ~ 383-301.90389.29353.780. 00000710.00000230.00000230. 0000151
149.492-10.5879
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6816.503909. 19
SEQVMXa 947.66190 225
707.58 660.370. 0 ~
pe 0 ~
314. 40 371. 32827.09 827.08
-119 ~ 51 -165. 70946.60 993.78892. 81 921. 800.0000254 0.0000237
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596. 61 611;240. 0.0. 0.
314. 40 371. 32731:75 786.54
-135.09 -175.29866.83 961.83807.81 887.270.0000214 0.00002190.0000064 0.0000066
-0.0000064 -0.00000650.0000293 0.0000346
"„149. 492 6816. 50149.492 '816.50
12. 595 73.293-332. 10 -112. 45
344 70 185 '5338.58
0. 00001150 '0000340.00000340.0000050
3119. 754334.36
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0.00000040.00000040.0000085
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0.00001020. 0000031
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0.00000200.00000200.0000299
8219. 296923.50
314 ~ 05 321: 01515.48 205.05
-271.43 -502.55
P. 43
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STR 'PZP
ELa 54 NODES 68 73 FORC 8.7361 STRETCHa 0.104002 RATEa 84.0000
51 NODESa 72 68 MAT 1Za 1.0000 SFACTJa 1.0000
985.16 SSMN -871.09 SZNTMX 1097.1ANGLE 0 45 ~ 90 135
I SAXL -191.60 -667.38 -128.49 503.39SRAD 0. 0 ~ 0 ~ 0.
SH O. 0. 0. 0.SXH 243.25 ~ 184 ~ 87 181.52 235.17Si 68.333 47.786 128.31 596.16S3 -865. 93 -715. 17 -256. 80 -92.'170
SZtlT 934.27 762.96 385.11 688.93SEQV 902.04 74'0.22 339.64 641.55
EPELAXZI -0.0000285 -0.0000239 »0.0000046 0.0000180EPELRAD 0.0000086 0.0000072 0.0000014 -0.0000054
EPELH 0.0000085 0.0000072 0.0000014 0.0000054EPELXH 0.0000227 0.0000172 0.0000169 0 '000219
END J SAXL -647.06 -599.85 183.53 358.03SRAD 0. Oe 0. 0.
SH 0. 0. 0. 0.SXH 243.25 '84.87 181.52 235.17Sl 81. 246 52. 396 111. 63 474. 51S3 -728.30 -652.24 -295.16 -116.54
SINT 809.55 704 '4 406.79 591.11,SEQV 772.14 679.96 364.05 542 ~ 31
EPELAXL -0. 0000232 -0.0000215 -0. 0000066 0.0000128EPELPAD 0,0000070 0.0000064 0 ~ 0000020 -0.0000038
EPELH '.0000070 0.0000064 0.0000020 0.0000038EPELXH 0.0000227 0.0000112 0.0000169 0.0000219
FORCES ON ~R AT NODE 72 254 '60 408 '3068 254.360 408.930
SEQVMXa 1045,6180 225
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0. 0.314 ~ 40 372. 79960.99 884.95
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-149+492 6816.50149a492 6816.50
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678. 35Or0000058
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0 ~ 0.Oo 0.
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-293 ~ 31 -612. 62
STR PZP
ELa 53 NODES> 71 72 MATa 1SPACTZa '1.6428 SFACTJa 1.6428SlMXa 1843.7 S3MNa -1118.0 SZNTMXa
ANGLE 0 45 90END I SAXL -648.'55 703.03 1675.5
SRAD 0. 0 ~ 0.SH 0 0. 0.
SXH 131. 14 163. 91 192.72Sl 25. 514 739 ..37 ~ 1697.3S3 674. 06 -36. 338 ~ -21. 882
SZNT 699.57 775.70 1719.2SEQV 681. 17 '58-19. 1708 ~ 4
EPELAXL 0 0000232 0.0000252 0.0000601v e.RAO n nnnnn7o -n.nnopov6 -0.00001BQ
1865. 4135
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-1595.61503 ~ 71599.7-0.0000559
0.00001'11
CALC. NO.Pege
Rev. 0
,8-11-1997 ll:45AM FROM MPR PSSpc~pTE9 INC 783 519 8224 P. 44
EPELXHEND J SAXL
SRADSH
SXMSlS3
SITTTSEQV
EPELRADEPELM
BPBT XHFORCES ON MEME
p. OOOO122 0. 0000153 0. 0000180 0.0000187230.54 80'7 ~ 52 1390 ~ 3 1176.4
0. 0. 0. 0.0. 0. 0. 0.
181.52 235.17 314.40 372.7999,755 811 ~ 02 1458 ~ 1 12&4.$33p.30 -63.496. -61.792 108.19430.PS 934 '2 1525.9 1392.7389 ~ 81 904.44 1493.1 1341.9
0 ppppp&3 0.0000289 0.0000498 0.00004220. pp00025 '. 0000087 -0 ~ 0000149 -0.0000126p.ppppp25 -0.0000087 -0.0000149 -0.00001260.0000169 0 ~ 0000219 0.0000293 0.0000347ER AT NOPE 71 469.017 -149. 492
72 254.360 149.492
p.p000171291. 01
0.0.
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0.0000104-O.OOOO031-0.0000031
O,OOO0351«]09.297-408.930
0 0000140-747. 00
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986.90932.73-0 ~ 0000258
0.00000800.00000800.00003013841.866816.50
0. 0000113 0. 0000106-1329. 8 -1115 ~ 8
0, 0.0. p.
243.25 184.8143. 101 29. 830
'-1372. 9 -1145.71416. 0 117$ . 51394. 9 1160 ~ 9-0.0000477 -0 ~ 00004000. 0000143 0, 00001200. 0000143 0. 00001200. 0000227 0. 0000112
12051. 4 5240. 8310119.5 1940.58
EL~ 52 NODES> 70 71 MAT~ 1SFACTIa 1. 6428 SFACTJi 1. 6428SlMX 1843.1 83MN= -1718. 0 SINTMX 1865.4
ANGLE 0 .. 4$ 90 135EMD I SAXL -686. 64 622. 61 1595. 5 1662. 5
SRAD 0 0.. 0. 0.SH 0. Oe 0. 0.
SXH 36 ~ 182 43 ~ 607 11.22S -41.990Sl 1.9013 625.65 1595.7 1663.5S3 688.54 -3.0394 0.79001E-01 -1.0599
SINT 690.44,628.68 1595.8 1664.6SEQV 689.49 62'7. 17 1595.8 1664.1
EPELAXL -0.0000246 0.0000223 0.0000572 0 '000596EPBLRAD 0 ~ 0000074 -0. 0000067 -0 ~ 0000172 -0 ~ 0000179
EPELH 0.0000074 -0 ~ 0000061 -0 ~ 0000172 "0 ~ 0000179EPELXH 0.0000034 0.0000041 0.0000010 "0.0000039
END J SAXL -648.55 ~ 703.03 1675.5 1699.1SRAD 0 ~ 0. o. 0 ~
SH 0. O. 0. , 0.SXH 131.14 163 ~ 91 192 ~ 72 200 r 69Sl 25.514 739.31 1697.3 1722.5S3 -674. 06 -36,338 -21. 882 23. 383
SINT 699.57 77S.70 1719.2 1745.9SEQV 687. 17 '758. 19 1708. 4 1134. 3
EPELAXL 0.0000232 0.0000252 0.0000601 0.0000609EPBLRAD 0.0000070 0.0000076 -0.0000180 -0.0000183
EPELH 0. 0000070 -0. 0000076 0 ~ 0000180 "0. 0000183EPELXH 0. 0000122 0. 0000153 0. 0000180 0. 0000187
~ ~
S ON MEMBER AT NODB 70 408.930 -149 '9271 469 ~ 017 -149. 492
48 NODES« 67 70 MATTr 1SFACTI~ 1.0000 SFACTJ~ 1.0000SIMX~ 1091. 6 S3MNs 994. 91 SINTMX~ 1091.9
ANOLE' 4$ 90 135END I SAXL -148.22 273.67 563.74 552.08
SRAD 0. 0. 0. 0.SH 0. 0. 0. 0.
SXH 36.182 43.607 11 ~ 228 -41.990Si 8 3608 280 ~ 4S 563 96 555 ~ 26S3 -156.58 6.7807 -0.22353 «3.1753
SINT 16C.94 287.23 564.19 558 ~ 44SEQV 160.92 . 283,.90 554.08 556.SS
EPELAXL 0.0000053 0.0000098 0.0000202 0.0000198EPELRAD 0 ~ 0000016 -0 ~ 0000029 -Oe0000061 -0.0000059
EPELH 0.0000016 -0.0000029 -Or0000061 -0 ~ 0000059EPBLXH 0.0000034 0 ~ 0000041 0 ~ 0000010 -0.0000039
END J SAXL -398 '3 398,03 990.32 1031.0SRAD 0. 0. 0. 0,
SM 0. 0. ', 0.SXH 36.182 43.607 11.228 -41.990Sl 3.2550 . 402.15 990.45 1032.783 -402.18 -4.7216 -pe12728 -1.7073
SINT , 405.44 407.47 990.58 1034.4SEQV 403.82 '05.13 990.52 1033.6
EPELAXL -0:0000143 0.0000143 0.0000355 0.0000370EPELRAD 0.0000043 -0.0000043 -0.0000106 0.0000111
EPELH 0.0000043 "0.0000043 -0.0000105 -0.0000111EPELXH 0 '000034 0 ~ 0000041 0.0000010 -0 ~ 0000039
FORCES ON MENDER AT NODE 67 408 '30 -149 F 49270 408. 930 -149. 492
091r7SEQVMXo180
245.530-Or
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352.86340.57-0.0000108
0.00000320.0000032
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SEQVHXr 1854.7180 225
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-84 '71 92.297793.03 1$ .745
-9.0830 -541.04&02 ~ 11 556.79797 r 61 549 r 09'
~ 0000281 -0-0000188-0,0000084 0.0000056-0.0000084 0.0000056-0.0000079 0.000'0086760.15 -591.42
0. 0.pr 0.
183.16 150.'39801.98 36.043
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254.360 595.158109.297 3841.86
270 315-1498.3 -1565. 2
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11510.6 '471.0712051. 4 5240.83
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STR PIP
BL~ 50 NODESeSFACTI~ 1.6428SIMX~ 954,71
ANGLE 0END I ScCXL 213.20
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S3TCT= -858. 74 SINTNXa4$ 90
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CALC. NO. Q4-SS - /Coro Page ~~
Rev.
,8-11-1997 11:46AM FRPM MPR ASSPPIATES INC 783 519 8224 P. 45
EPELAXL 0,0000076 -0.0000136 -0 ~ 0000257 -Q.OQQQ216EPELRAD P.P000023 0.0000041 0.000PP77 Q.QPQP065
EPELH 0.0000023 0.0000041 0.0000077 0,0000065EPBLXH 0.0000058 0.0000027 0.'0000001, -0.0000007
372.08 -3Z1 ~ 00 -797 ~ 53 -778.39SRAD 0 ~ 0 0 ~ 0.
SH 0 ~ 0. 0. 0.SXH -84. 871 -92 ~ 297 "$9. 917 -6. 6995Sl 390. 52 24 ~ 646 4 ~ 4763 0 576578-0153 18,445 '45.64 -802 F 01 -778.44
SINT 408.97 370.29 806.49 778,50SEQV 400.06 358.60 80'6 778.47
'EP LAXL 0.0000133 -0.000011$ -0.0000286 -PE OPOP279EPELRAD -0 ~ 0000040 0.0000035 0 ~ 0000086 0.0000084
EPELH -P.OOOOO4O OS OOOO035 0.0000086 0.0000084EPELXH -0.0000079 -0.0000086 -0.0000056 -0.0000006
FORCES ON MEMBER AT NODE 66 469 ~ 017 149.492.67 408.930 149.492
ELi 49 NODES- '5 66 MAT> 1
SFACTIN 1 '428 SFACTJ= 1+6428SXMXs 1072. 8 S3YN~ -.1008 ~ 1 SINTMX= 1077. 3
ANGLE 0 . 45, 90 13SEx' SAXL -70.570 i -771.58 '1002.9 -628.98
SRAD 0. 0. 0. 0.SH 0. > 0. 0. o.
SXH 140 71 87.055 7.8295 -$0.558Sl 709.78 9.7001 0.61123E-01 4.0379S3 -180.35 781 ~ Z8 -1002-9 -633.02
SINT 290.13 790. 98 1003 ~ 0 637,06SEQV 253.73 796.18 1003.0 635.05
EPELAXL -0 ~ 000002$ -0.0000277 -0.0000359 -0.0000225EPBLRAD 0.0000008 . 0.0000083 0.0000108 0.0000068
EPBLH 0.0000008 0.0000083 0.0000108 0.0000068EPELXH O.OOOOX3X O.OOOOO81 O.QOOOOO7 -O.OOOOO47
END J SAXL 213. 20 -379. 86 -717.71 -602. 45SRAD 0. 0. 0 ~ 0.
SH 0. 0. 0. 0.SXH 62.279 29.S08 0.69906 -7 '723
Sx 230.06 2 '786 0.58090E 03 0.87774E-01S3 -16. 860 -382. 13 717. 71 -502. 53
S'INT 246-92 384.41 '17.71 602.62SEQV Z38.93 383.28 717.71 602.58
EPELAXL 0.0000076 0,0000136 -0.0000257 -0.0000216«PELRAD -0.0000023 0.0000041 0.0000077 0.0000065
EPELH -0.0000023 0 ~ 0000041 0.0000077 0 ~ 0000065EPELXH 0.0000058 0.0000027 0.0000001 -0 ~ 0000007
CES ON MEMBER AT NODE 65 254.360 149.49266 469. 017 149. 492.
0.0000176 0.0000297 0 ~ 0000256-0.0000053 Q,PPQPP89 -0.00000770.0000053 P.QQQQQ89 0.00000770 0000040 0.0000067 0.0000074
418.30 894. 84 87$ . 690., 0. 0.0. 0. 0.
43 ~ 607 11. 228 -41 ~ 990422 '0 894 ~ 98 877 '0
-4 ~ 4976 ro. 14086 -2. 0088427.30 895.12 879 ~ 71425,07 ~ 89S,05 878.710.0000150 0.0000321 0 ~ 0000314
-0.000004S -0.0000096 -0.0000094-0.0000045 0.0000096 0.00000940.0000041 0.0000010 -0.0000039
886.73S 575$ . 43 -1171.12595 ~ 158 -6Z96.22 -2406.49
p.OOOOO360,00000110.0000011P . 0000010
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36.1824.6846
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109.297-2$ 4.360
SEQVMX~ 1075. 1180 225
131. 10 832. 110. 0.o. 0
-53 '05 -0 ~ 25097150.41 832.11
-19 ~ 318 -0.7$ 596E 04169.73 832.11160. 95832.110.0000047 0.0000298
"0.0000014 -0.0000089-0.0000014 -0.0000089-0.0000050 0 ~ 0000000
-101 ~ 59 491 ~ 460. 0,0.'.
10.264 , 43 '35-1.0265 495 '0-102.62 -3.7399,103.64 498.94103. 14 497. 08-0. 0000036 0. 00001760.0000011 0.00000530 ~ 0000011 -0.00000530.0000010 0.0000040
408.930 1061.06109.297 886.735
270 3151063.4 689.$ 1
0. 0.0. o.
78.974 137.361069.2 715 F 87
"5.8330 25 '57107$ .1 742.231072.2 729.40
0.0000381 0.0000247-0.0000114 0.0000074-0.0000114 -0.00000'74
0.0000074 0.0000128829. 31 714. 05
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71. 844 79 ~ 815835.49 722.86
-6. 1779 -8. 8128841. 67 731 ~ 68838. 60 727 ~ 31
0.0000297 0.0000256-0.0000089 -0.0000077-0.0000089 -0.00000770.0000067 0.0000074
-7687.34 750.2705755 '3 -1171.12
47 NODESi X24 65 MATSFACTIa 1.0000 SFACTJ-" 1'.0000SXMX~ 1097.8 S3MN~ -1034.9 SINTHXa 1100.9
ANGLE 0 45 90 13$END I SAXL -1012 ~ 6 -S$ 6.7S 242. 99 918 ~ 11
SRAD 0. '.'r 0.SH 0. 0. 0. 0.
SXH 7.8296 -50.558 -53.90$ -0.25097SI 0. 60535E-01 4 '5538 254. 41 918. 11S3 -1012.7 561.31 -11.422 -0.58506E-04
SINT 1012.7 565.86 265.83 918 F 11SEQV 1012.7 563.60 260 '1 918.11
E?ELAXL -0.0000363 -0.0000200 0.0000087 0.0000329EPELRAD 0.0000109 0.0000060 -0.0000026 -0.0000099
EPELH 0.0000109 0.0000060 -0 ~ 0000025 -0.0000099KPELXH 0.0000007 -0.0000047 -0.0000050 0.0000000
END J SAXL -598 ~ 63 -371.03 91. 642 518.36SRAD 0~, 0 0. 0 ~
SH 0. 0.. 0. 0SXH , 7,8296 -50.5$ 8 -53.905 -0 '5097Sl 0.10239 6.7658 116.57 518.36S3 -598.73 377. 80 -24. 927 -0.12151E-03
SZNT 598. 84 384. $ 6 141. 50 518.36SEQV 598.78 381.22 130.83 S18.36
'EPELAXL 0. 0000215 -0. 0000133 0. 0000033 0. 0000186KPELRAD 0.0000064 0.0000040 ,-0.0000010 Os0000055
EPELH 0.0000064 0.0000040 0.0000010 0 0000056EPELXH 0 ~ 0000007 "0.0000047 0.00000)0 0 ~ 0000000
FORCES ON MICRR AT NODE 124 254.360 408.93065 254.360 408.930
SEQVMX~ 1099.4180 22S
1073 ~ 2 617.280. 0.~ 0. 0.
I8 974 137 361078.9 546.47
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~ 8 561. 540.0000385 0. 00002710 ~ 0000115 -0.0000066
-0.0000115 -0.00000560.0000074 0.0000128
6$ 9. 16 431. 560. 0.0. 0.
78.974 137.36668 e 49 471. 57
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0.0000236 0.0000155-0.0000071 -0.00000460.0000071 -0.00000460.0000074 0.0000128
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2600.23 12747.97$ 0.270 7687.34
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0. 0000136 0. 0000116 0. 0000025 -0. 000008Z0. 000013 6 0 ~ 0000116 0. 0000025 -0. 0000082p ppPP007 0.0000081 0.0000131 0 ~ 0000128
15p3.6 -1302nd -320 F 50 866.870. 0 ~ 0. 0.0. 0. 0. 0.
7 8296 87.055 140 ~ '71 137.36p 40768E-pl 5.7931 53.008 888.12
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MSER AT NODE 124 254.360 -408.930I 254.360 -408.930
4.6741 0.554ZIE"041339 1 1136 51336 ~ 7 1136.5.
0.000047'7 0 '000407-0,0000143 -0.0000122
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SINT 475. 28, 531. 89 813 ~ 57 785. 57SEQV 429.06 487 '0 793.54 775.36
EPBLAXL -0.0000087 0.0000115 0.0000262 0.0000267ZPZLRAD 0.0000026 -O.O000035 -0.0000079 0.0000080
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ELAXL ~0.0000109 0.0000126 0.0000299 0.0000308PBLRAD 0.0000033 -0.0000038 -0 ~ 0000090 -0.0000092
EPELH 0.0000033 -0.0000038 -0 ~ 0000090 -0.0000092BPELXH 0. 0000191 0. 0000197 0. 0000167 0. 0000118
FORCES ON MEMBER AT NODE 125 472 e616 -149.105I 472. 616 -149. 105
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0.137122 77.70230.137122 77 '023
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681. 64 SSMN~ -567.91 SINTMX~ANGLE 0 '5 90
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CALC. NO. ~l~-~Z-ao~o Page~~+
Rev.
8-11-1997 11:47AM FRCN MPR ASSPC1ATES INC 783 819 8224 P. 47
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3.442 , 226.2517.75 633.292.922 -25.26839.67 6$ 8.4629.26 646.240 ~ 0000106 0 ~ 00002180.0000032 -0.00000650.0000032 0.00000650 ~ 0000078 0 ~ 000011895. 84 608 ~ 12
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122 4'7
0. O.179 ~ 42 211. 80646.87 385.5949.763 -116.34696.63 501.93673.13 4$ $ .060.0000214 0.0000057
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597.10 269.260. o.0. 0 ~
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2.616 -149.1052. 626 149. 105
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FORCES ON HEHBER AT NODS 123 635 63
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8-11-1997 11:48AM FROM MPR A9SppyATES INC 793 519 8224 P. 48
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0.000000? 0.00000840.0000001 0.00000250.0000001 0.00000250.0000148 0 '000144
74.3680 6413.2060.3004 3995.00
EI4 6 NODES> 10 11 MAT4 1SFACTI~ 1.0000 "SFACTJs 1.0000S)MXe 380.97 $3MN< "381.08 SZNTHX>
ANGLE 0 45 90KAID I SAXL 326.81 227,59 -4.9S41
SRAD 0. 0. Oe
SH O. 0 ~ 0.SXH 143 '5 154.34 158 ~ 72Sl 380.97 305.55 156.26S3 -54. 165 -77. 960 -161. 21
SINT ~ 435 ~ 14 383.51 317.47SEQV 410.74 351 ~ 09 274.95
EPELAXL 0 ~ 0000117 0 ~ 0000082 0 ~ 0000002EPELRAD "0 '000035 -0.0000024 0.0000001
EPELH -0.0000035 0.0000024 Oa000000)EPELXH 0.0000134 0.0000144 0.0000148
END J SAXL 352.01 245.69 -4.554'1SRAD 0. 0. 0.
SH 0. ~ Oo 0 ~
SXH 76.14S '6.83'2 91.202Sj 367.77 273.28 88.953S3 15.765 -27.590 -93.'507
SINT 383.54 300.87 182.46SEQV 375.91 288.07 158.03
EPELAXL 0.0000126 0 ~ 0000088 -0.0000002PELRAD -0.0000038 -0.0000026 0.0000000
EPELH -0.0000038 -0.0000025 0.0000000EPELXH 0. 0000071 0. 0000081 0. 0000085
435.26135
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326.85 227e63Oe 0.0'. 0.
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352.01 245.690. 0.0. 0.
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0.0000038 0.00000260.0000038 0.00000260. 0000071 0. 0000061
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Page ~ <
Rev. D
315234.57
0.0 ~
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ELs 7 NODES'1 12 MATa
SFACTZa 1.0000 SFACTJ~
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0. 0. 0.SXH 76.145 . 85. 832 91.202Sl 367.77 273.28 88,9$ 3
S3 -15.765 -27 '90 -93.5P7SINT 383.S4 '00.87 182.46SEQV 375.91 288 F 07 158.03
EPELAXL 0,0000126 0.0000088 -P.0000002EPEZRAD 0.0000038 -0.0000026 0.000000p
EPSLB 0.0000038 0.0000026 0 ~ 0000000EPELXH O.OOO0071 0.0000081 O.OOOOO85
END J SAXL 323.62 225»90 -4»1459SRAD 0. 0. p
SH 0. 0. 0.SXH 8.9448 19.634 '4.007Sl 323.87, 227.59 22.023S3 -0.24704 1.6937 -26.170
SINE 324. 12 229. 28 48 ~ 193SEQV 323.99 228.44 41.788
EPELAXL 0.0000116 0 ~ 0000081 -0 ~ 0000001EPEIRAD -0.0000035 '0.0000024 0»0000000
EPELH -0.0000035 -0.0000024 0.0000000BPEIXH 0.0000008 0.0000018 0»0000022
FORCES ON MEMEER AT NODE ll -0 ~ 213469E-ol,12 0.137122
383 57135
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0.0000001 0.00000830.0000000 -0.0000025
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ANCLE 0 45 90 135 180END I SAXL -323.59 '22S.86 4 ~ 1796 231.78 323.62
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SINT '24.06 '2S.90 13.278 231.81 324 ~ 12SEQV 323.95 225. 89 11. 688 231.81 323. 99
EPELAXL 0.0000115 -0 ~ 0000081 0.0000001 0 ~ 0000083 0.0000116PELRAD 0.0000035 0.0000024 0 ~ 0000000 -0.0000025 0.000003S
EPELH 0.0000035 0.0000024 0.0000000 -0;0000025 -0.000003SPXLXN O.OOOOOO8 -O.OOOOOO2 -O.OOOO006 -O.OOOOOO2 O.OOOOOO8
J SAXL -86.147 -58'.986 2.7373 62.867 86.180SRAD 0. 0 ~ 0. 0. 0 ~
SH 0. 0. 0 ~ 0. 0.SXH 8.7607 -l.9281 -6. 3017 -1 ~ 7980 8. 9448
Sl 0 ~ 88189 0. 62959E"Ol 7 ~ 8173 62 ~ 918 81 ~ 098S3 -87.029 -$ 9.049 -5.0799 -0.51378E 01 0.91861
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EPELH '0.0000009 0.0000006 0.0000000 -0.0000007 -0.0000009EPEIxN 0.0000008 -0.0000002 -0,0000005 -0.0000002 0.0000008
FORCES ON MEMBER AT NODE 12 0.137122 63.6861 -0»3868248 0 ~ 137122 63 ~ 6861 0. 386824
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225.90 -4.1459 231.750. 0. 0.o. 0. 0.
19.634 24.007 19 '03227.59 22.023 1.6299
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0. 0000081 -0. 0000001 0. 0000083-0.0000024 0.0000000 0.0000025-0.0000024 0.0000000 0.00000250.0000018 0.0000022 0.0000018
$ 9.019 -2.7047 -62.8340. 0 ~ 0.0. 0» 0,
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EPELAXL "0. 0000031 -0. 0000021 0. 0000001 0. 0000023 0. 0000031EPELRAD 0.0000009 0.0000006 0 ~ 0000000 -0.0000007 -0.0000005
EPELH 0 ~ 0000009 0.0000006 0.0000000 -0.0000007 -0.0000009EPELXH 0.0000008 0.0000000 "0.0000004 0»0000000 0.0000008
END J SAXL 18.322 14 '59 1.9937 -11.530 -18.290SRAD 0. 0. 0» 0. 0 ~
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STR PIP
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
FPELXH 0 ~ 0000008 0 ~ 0000000 0 Oppop04 p pppgpgp 0 ggpppobPORCES ON YXMBER AT ) ODE. 8 0.137122 54.3401 -0 ~ 385824
14 0.137122 $ 4 3401 -0.385824
0 ~ 0000002 0.0000000 -0 ~ 00000010 ~ 0000017 0.0000020
216 ~ 425 33.2608 1053 ~ 23216.42$ 24. 1704 -223.765
14 15 FORC>-0 I194IZE-02 STRETCHY 0. 001941 RATEa 1.00000
270 315-1 ~ 9613 11. 562
0 ~ 0.0. 0.
21. 783 17 ~ 93120.82$ 24.621
«22.786 -13.0$ 943.511 37.58037.781 33.140-0.0000001 0.00000040.0000000 -0.00000010 ~ 0000000 -0.00000010 ~ 0000020 0.0000017
-1.5251 $ 5.0920. 0.0. 0.
21.783 17.931Zl e 034 6P ~ 414
-22. 560 -5. 321943 '93 6$ .73637.761 63.243-0.0000001 0.0000020
0.0000000 0.00000060 ~ 0000000, -0.0000P060.0000020 '.0000017
24.1704 -223.766lb.8516 -970.943
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EL= 13 NODES~ 16 18 MAT~ 1SFACTZ~ 1.0000 . SPACTJ~ 1.0000SIMXa 223.16 S3)O)a -223;1S SINTMXi 223, 51 SEQVHXi 22
ANGLE 0 4S 90 13$ 180~
~
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SH 0. 0; 0. 0. 0.SXH 8.7610 -0.35535 4 ~ 0777 -0 ~ 22561 8.9445Sl 80-403 57.276 4.9307 0 ~ 92444E-03 0.9949SS3 -0.95464 -0.22049E 02 -3.37Z4 -SS.051 -80.411
BINT 81.357 57.278 8.3030 55.062 81.406SEQV 80.884 $7.277 7 .2327 55.062 80.913
EPELAXL 0.0000028 0.0000021 0.0000001 -0.0000020 -0.0000028EPELPAD 0.0000009 -0.0000006 0.0000000 0.0000005 0.0000009
EPELH -0.0000009 -0.0000006 0 ~ 0000000 0.0000006 0.0000009EPELXH Q.gpppoob 0.0000000 0.0000004 OI0000000 0.0000008
END J SAXL 222.82 157.93 ~ 0 ~ 54104 157.16 -Z22,78SRAD 0 a- 0. ,0. 0. 0.
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EFELAXL 0.0000080 0.0000057 0.0000000 -0 ~ 0000056 -0.0000080EPELRAD -Q.0000024 -0.0000017 0.0000000 0.0000017 0 ~ 0000024
'EPELH -Oa0000024 0.000001,7 0.0000000 0.0000017 O.0000024EPELXH 0 ~ 0000008 0.0000000 0.0000004 0 0000000 0.0000008
FORCES ON MEMBER AT NODE 16 0.135181 54.3401 -0.38557518 0. 135181 54.3401 . -0.38S575
3.3322$ ' 270
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6 -970.9431 2723. 41
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SZNT 223.50 ~ 159.15 20 '48 158.41SEQV 223. 33 158. 84 17. 884 158. 10,
PELAXL 0 ~ 0000080 O.O000057 0,0000000 -0.0000056-PELRAD -0.0000024 -O.opoool') 0.0000000 0.0000017
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0.000000 RATEa 0.100000E«11
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8.9445 7.8797 7.3849 7.74990.35854 0 ~ 39225 7.1348 1$ 7.57.-223.14 158.29 -7.6437 0.38) lb223.50 1$ 8.68 14.779 ).57.95223.32 158.49 12.801 157 '6-0 ~ 0000080 -0.0000057 0.0000000 0.0000056
Q.POOQQ24 0.0000017 0.0000000 -0.00000170.0000024 0.0000017 0.0000000 -0.0000017
ZLm 10 NODES<
11 NODESe 14 16 MATe
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SINT 2$ .352 14.376 8.3956 11.$ 39 2$ .584 38.86pSEQV 23.790 14 ''72 7 '388 11.537 23,97p 34 dp7
EPELAXL 0.0000007 0.0000005 P.OO00001 -0 ~ 0000004 -0.0000007 -0.000000$EPELPAD -0.00000O2 -0.0000002 0.0000000 0.0000901 0.0000002 0.0000002
EPELH -0.0000002 -0.0000002 0.0000000 0.0000001 O.PQ00002 0.0000002EPELXH 0.0000008 0.0000000 -0.0000004 0.0000000 0.0000008 0.0000017
END J SAXL 79,448 57.273 1.5583 -55.060 79,415 57.241SRAD 0. 0. Oo 0. 0. 0.
SH 0. 0. 0. 0. 0. 0.SXH 8.7607 -0.35557 4 ~ 07>7 -0.22540 8.9448 lb.061
Sl 80 ~ 402 57 ~ 276 4.9307 0.92271E-03 0,99501 5.2223S3 0.95458 -0.22075E 02 3.3724 -55.061 "80.411 -62e464
SINT 81. 357 57. 278 8. 3030 55 e 062 81. 406 67 ~ 686SEQV 80.884 57.277 7.2327 55.062 80.913 65.232
EPELAXL 0.0000028 0.0000021 0 ~ 0000001 "0.0000020 -0.0000028 0.0000021EPELRM) -0.0000009 -0,0000006 0 ~ 0000000 0.0000006 0.0000009 0.0000006
EPELH -0.0000009 -0.0000006 0 ~ 0000000 0.0000006 0.0000009 0.0000006EPELXH 0.0000008 0.0000000 -0.0000004 0.0000000 0.0000008 0.0000017
FORCES ON MEMBER AT NODE 14 0.135181 $ 4.3401 -0.386824 216.42516 0.135181 54.3401 -0.386824 216.425
EL- 12 MODESTY 16 17 PORC~ 0.12488E-02 STRETCH ~ 0.001249 RATE~
1
STR PZP
STR PIP
STR PIP
CALC. NO. s/X-Z3-@toro Page ~E
Rev. 0
8-11-1997 11:584M FROM MPP 4SSQQ$ 4TES INC 783 519 @224 P. 51
e
SRAD 0. 0 ~ p. 0. 0.SH Oe 0. 0. 0.
SXH 8.7610 9. 8258 10,321 9 9556 8 9445Sl 218.50 155.05 10.446 0 64068 Q 36518S3 0.35129 -0.62270 -10.197 j54 7p 218.48
SINT 218. 85 155 67 20, 643 155 34 218 8$SBQV 218 ~ 67 155.36 17.878 1$ 5.02 218.66
ELAXL 0.0000078 0.0000055 O.OOPPPpp -p ~ 0000055 p QPQPP18
ELRAD 0.0000023 -0.0000017 0.0000000 P PP00011 P QPPP023EPELH -0.0000023 -O.pppppl1 0.0000000 Q,ppppp17 Q,QQQQQ23
EPEIgpf 0.0000008 0.0000009 O.OOPPP10 O.ppppp09 O.ppPPppdFORCES ON MEMBER AT NODE 18 0.135181 «Se16872 p 385575
20' ~ 135181 -6.16872 -0 385575
0.0.
7.87970. 40112-154.79lsse 19154.99
0 ~ 00000$ 50 ~ 00000170. 00000170.0000007
216.425216.425
0.0. 0 ~
7.3849 7e14997.2711 154. 48
-7. 4942 -0 ~ 3881914.171 154.8712.793 154.68
0.0000000 0.00000550.0000000 -0.00000170 ~ 0000000 -0.00000170.0000007 0.0000007
6 ~ 41681 -2723 ~ 412.85024 -2666.35
VALVEEL~ 16 NODES< 20 21 MAT~ 1SFACTZI 1.0000 SFACTJ~ 1.0000SIMXe 218. 50 S3MNa -218. 48 SZNZMXe 218. 85 SEQVMX~ 218. 67
45 90 135 180 22$ '70END I SAXL 218 ~ 12 8.15 154'.42 0.24926 154.06 -218.12 154 ~ 39 -0 21709 154 ~ 09
e 0. 0. O.' 0. 0.SRAD 0, 0. 0. 0. 0.
0. 0. 0.SXH 8.7610 9.8258 10.321 9.9556 8.9445 7 ~ 8191 I.3849
SH 0. Oe7.7499
Si 218.50 155.05 10.446 0 ~ 64068 0.36618 0 ~ 40112 7 ~ 2171 'Sd ~ 48S3 -0.3S129 -0 ~ 62270 ~ -10.191 154.70,-Z18.48 -154.79 -7.4942 -0.3SS79
SING 218.85 1SS. 67 20 ~ 643 1$ 5.34 . 218.85 155.19 14.171SEQV 218.67 155.36 11.878 155.02 218.66 154.99 12 '93 154.68
EPELAXL 0.000007S 0.0000055 0.0000000 -0.0000055 -0.0000078 -0.0000055 0.0000000 0.0000055EPELRAD -0.0000023 0,0000017 0.0000000 0.0000017 0.0000023 0.0000017 0.0000000 -0.0000011
EPELH 0.0000023 -0 ~ 0000017 0.0000000 0e0000017 0.0000023 0.0000017 '0.0000000 -0.0000017EPELXH 0.0000008 0.0000009 0 ~ 0000010 0.0000009 0.0000008 0.0000007 0 ~ 0000007 0.0000007
EN J SAXL 206.04 145.32 -0.50779 -146.03 -206.00 -145.290 ~
0.~ 0. 0.SXH 8.7610 9.8258 . 10.321 9.9556 8.9445 1.8197 7.3849Sl 206.41 145.98 10.070 0.67559 0.38763 0.42610 7.6598 145.47S3 -0.37185 -.0. 66135 '10. 578 -146.71 -206.39 -14S.72 -7.1198 -0. 41005
SINT 206.78 146.65 20.648 147.38 206.78 146.14 14.780 146.89SBQV 206.59 146.32 17.883 141.05 206.59 145.93 12.802
EPELAXL 0 ~ 0000074 0.0000052 0.0000000 -0.0000052 -0.0000074 -0.0000052 0 ~ 0000000 0 ~ 0000052EPELRAD -0.0000022 -0.0000016 0.0000000 0,0000015 —0.0000022 ,0.0000016 0.0000000 0.0000016
EPELH -0.0000022 -0.0000016 0.0000000 0.0000016 0.0000022 0.0000016 0 ~ 0000000 -0.0000016EPELXH 0..0000008 0.0000009 Oepoooolp 0 ~ 0000009 0 ~ 0000008 0 ~ 0000001 0.0000007 0.0000007
FORCES ON MEMBER AT NODE '20 0.135181 -6.16872 -0.385S15 216.42516.425 2.85024 -2665.3521 0 ~ 135181 6.16872 '-0.385575 216.425 . -6.40357 2518.30
~
~~
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TI= 1.0000 SFACTJ"- 1.0000e 206.41 S3MNa -206.39 SZNTMXei 206.78 SEQVMX~ 206.59ANGLE 0 , 45 90 135 180 225 270
END I SAXL 206.04 145 '2 -0.$ 0779 -146 '3 -206.00 -145.29 0.53995SRAD 0 ~ 0. Oe 0. '. 0. 0.
SXH 8.7610 9.82S8 '0.321 9 'S56 „ 8.9445 7.8791 ~ 7.3849SH 0 ~ 0 ~ 0.
Sl 206.41 145.98 10.070 0.67559 0.38763 0.42610 7.6S98 146.47S3 -0 ~ 37186 -0 ~ 66135 -10 ~ 518 -146.7i, 206 ~ 39 -145.72 -7.1198 -0 ~ 4'100$
SZNT 206.78 146. 65 20. 648 147. 38,206. 78 146. 14 14. 780 146. 88SEQV 206 ~ 59 '46 ~ 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 0.0000052EPELRAD "0 ~ 0000022 "0 ~ 0000016 0.0000000 0.0000016 0.0000022 0.0000015 0 ~ 0000000 -0.0000016
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0.98.38398. 186
-98.580196.77170.40
0.00000000.00000000.00000000.00000920".00000000.00000000.0000000
8.625475. 38113
31530.725
0.0.
41. 932114. 49
-83.761198.26172.38
0.0000011-0.0000003-0 ~ 0000003
0.00000910.00000000.00000000.0000000
39.4320.0.
97.932119 ~ 61
-80.181'99.79174. 15
0.0000014-0.0000004-0.0000004
0»00000910»00000000.0000000 ~
0.0000000538.967
"686.247
ELr 27 NODESr 35 36 HATr 1SPACTI ~ 1.0000 SPACTJr 1.0000SZNXr 134. 51 S3NNr -134» $ 2 SZNTHXr
ANGLE 0 45 90END Z SAXL 56.18'l 40.055 0.48610
SRAD 0. 0. 0.SH '. 0. ~ 0 ~
SXH 96.890 95.867 95.452Sl 128 ~ 97 117 ~ 96 95 ~ 706$ 3 -72.787 -77.909 -95.219
SZNT 201.76 195. 87 190. 92SEOV 176.97 170.81 165.35
EPELAXL 0.0000020, 0.0000014 0.0000000EPELPJiD -0.0000006 -0.0000004 0.0000000
EPELH 0.0000006 0.0000004 0.0000000EPELXH 0.0000090 . 0.0000089 0.0000089
END J SAXL 64.722 45.957 0.29810SRAD 0. O. 0.
SH 0. 0. 0.SXH 96'.890 95.867 95.462Sl 134. 51 121» 56 95. 611S3 "69.791 -15.604 -95.313
SINT 204.30 197. 17 '90. 92SEQV 179.87 172.29 165.35
SEQVNXr 179. 9$204 '1135
-39.3410.0.
9$ . 91378 '39117. 58195 '2170. 72-0.0000014
0 ~ 00000040.00000040.0000089
-45.5080.0.
9$ ~ 91375.821
-121. 33197 ~ 15
»172.25
180-56.095
0.0.
95.95$72.882
-128. 98195.77170. 40
199. 99174 34
201. 96177.05-0.00000200.00000060.00000060.0000090
-0.00000140.00000040.0000004
.0.0000091
0.00000000.00000000.00000000.0000092
45.865 -0.206350. 0.0. 0.
97.978 98.383
64.6300.0.
'96 '5577.693 ~ 98.280
-123.$ 6 -98.486201.25 " 196»77175.79 170.40
69.883-134. 51204.40179. 94
225 270-39.963 -0.39435
0. 0.0. 0.
97.978 98.38380.013 98»185119.98 -98.580
31539.432
0 ~
0.97.932119 ~ 61
-80.181199.79174. 15
0.0000014-0.0000004
0 ~ 00000040.0000091
45 '000.0.
91. 932123.3577.751201»0175 ~ 65
STR PZP
CALC. NO. Z /4-3'3 PdaroPage < >
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
EPELXH 0.0000090 0.0000089 0.0000Q89 P,PPPQ089 Q 0000090FORCES ON MEMBER AT NODE 35 0.385575 6.13666 0.135181
6. 13666 -0. 135181
0.000000$0 ~ 0000091
2369.482369.48
0.0000000 0.00000050.0000092 0.0000091 f >)g I
5 '8113 "686.2473.08305 -790.570
NODES< 36 37 FORCi 16.283 STRETCHY 0.02394$ RATE> 680.000
29 NODES~ 36 41 MAT~I= 1.0000 SFACTJ~ 1.0000
34.52 S3MN+ 1 .51 SINTHXe 204 40 SEQW 1ANGLE 0 45, 90 135 180
EÃD Z SAXL 64.722 4$ . 957 0. 29810 -45. 508 -64 ~ 630SRAD 0 ~
'a 0. 0. 0,SH 0. 0. 0, 0. 0 ~
SxH 96.890 98.607 '9.337 98 6$ 2 96 955Sl 134.51 124.23 99 ~ 486 78.d88 69.883S3 -69.791 78.270 99. 188 124.QQ
SINT 204.30 202.$ 0 198.67 2p2.48 204.40SEW 179 ~ 87 176 ~ 87 172 06 176,83 179 94
EPELAXL 0.0000023 0.0000016 0.00000PP -Q.QPQP016 P P000023EPELRAD -0.0000007 -0.0000005 0.0000000 0.0000005 0,0000007
EPELH -0.0000007 0 ~ 0000005 0.0000000 0.000000$ 0.0000007EPELXH 0.0000090 P.0000092 0.0000093 0.0000092 0.0000090
END J SAXL 60.510 42.939 0.24199 42 ~ 570 -60.419SRAD 0. Q. 0. Q. 0.
SH 0 ~ Qa 0. 0. 0 ~
SXH 96 '90 98 '07 99 '37 98 652 96 '55Sl 131.76 122.39 99.458 79.637 '71.343S3 71.249 . 79,447 99.216 -122.21 131.76
SZNT 203.01 201.83 198 ~ 67 201.84 203.10SEQV 178. 39 176. 11 172 ~ 06 176.09 178 ~ 47
EPELAXL O. 0000022 4. 0000015 0 ~ 0000000 "0. 0000015 -0. 0000022EPELRAD -0.0000007 -0.000000$ 0.0000000 0 ~ 0000005 0.0000006
EPELH "0.0000007 -0.0000005 0 ~ 0000000 0.0000005 0.0000006EPELXH 0.0000090 Oo0000092 0.0000093 0.0000092 0.0000090
FORCES ON MEMBER AT NODE 36 0.385575 -10.1459 -0.13518141 0. 385575 -10.1459 -0.135'181
79.9422$ 270
45.865 -0.206350.0 ~
95.23875.028
0.0.
94.50894.405
-120.89 -94.611195. 92 189. 02
1,63. 69171. 21-0.0000016 0.0000000
0.000000$ 0.00000000.00000050 0000089
0.00000000.0000088
-42. 848 -0. 15024O.0.
94 '0894.433
-94e$ 83189. 02153. 69
0.0.
95.23876.194
-119. 04195 '4170. 430.0000015 . 0.00000000.000000$ ~ 0 ~ 0000000
0.00000000.0000088
3.083052e39720
0.00000050.00000892369.482369.48
31$45.600
0 ~
0.95.193120. 69
-75.0$ 5195.77171. 07
0.00000160.0000005
-0.00000050.0000089
42.6620.0 ~
9$ .193118.88
-76.222195.11170.31
0.000001$"0 ~ 0000005-0 ~ 00000050.0000089
790.570739.094
STR PZP
EL~ 31 NODES'1 42 MATi 1SFACTI~ 1.0000 SFACTJ~ 1.0000$ 1HX~ 159.53 '3lpl~ 159.58 SINT16(i 203 ~ 10 SEQVHXe 18
ANGLE 0 45 90 13$ 180END Z SAXL 60.510 42.939 0.24199 ~42.570 60,419
SRAD 0. 0. 0. 0. 0.SH 0 ~ 0. 0. 0. 0 ~
S'xH 96.890 98.607', 99.337 98.6$ 2 96.955Sl 131.76 122:39 99.458 79.637 71 ~ 34383 71.249 79.447 -99.216 122.21 -131.76
SINT 203.01 201.. 83 198. 67 '201. 84 203.10SEQV 178.39 176.11 ~ 172.06 176.09 178.d7
EPELAXL 0. 0000022 0. 00000150. 0000000 -0. 0000015 0. 0000022EPELPAD -0 ~ 0000007 0.0000005 Q.QQP0000 0.0000005 0.0000006
EPELH -0.0000007 0.0000005 0.0000000 0.0000005 0.0000006EPELXH 0.0000090, 0.0000092 0.0000093 0.0000092 0.0000090
END J SAXL 120.$ 5 85.250 0.33344E 01 -85 ~ 182 120 ~ 48SRAD 0 ~ 0. 0. 0. 0.
SH 0. pe 0. 0 ~ ~ 0.SXH 78.858 80.584 81 '337 80.676 78.988Sl 159.53 133 ~ 79 81.354 48.637 39.098S3 38.981 -48.538 -81.321 "133 ~ 82 1S9.58
SINT 198. 51 182. 33 162 ~ 67 182-46 198 a 67SEQV 182. 18 163.55 140 F 88 163.65 182,30
EPELAXL 0.0000043 0.0000031 0 ~ 0000000 -0 '000031 0.0000043'PELRAD-0.0000013 -0.0000009 0,0000000 0.0000009 0,0000013
EPELH -0.0000013 -0.0000009 0.0000000 0 ~ 0000009 0.0000013EPELXH 0.0000073 0.0000075 0 ~ 0000076 0.0000075 0.0000074
FORCES ON ¹HBER AT NODE 41 0 '85575 1P.1459 0.13518142 0.304494 10.1459 -0.272444
2.30225
-42 '480.0.
95 '3876. 194
-119. 04195.24170 F 43-0.00000150.000000$0.00000050 ~ 0000089-8'78
0.0.
77.26245.633130.81176. 44158 ~ 63-0. 00000/10.00000090.00000090.00000722369.481929.4$
270-0.15024
31542 '52
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-76.222195. 11170 '10. 000001$
-0 ~ 000000$-0.000000$0.0000089
8$ .2550.0.
77.170130. 79
-45 ~ $ 33176.32158 ~ 54
0.00000310.0000009'0.0000009
0.0000072739.094
E-pl -1473.11
0.0 ~
94.SQB94.433
-94.583189.02163. 69
0.00000000.00000000.00000000 ~ 0000088
0 ~ 39112E-010.0.
76.50976.528
-76.489153. 02132. 52
0.00000000.00000000.00000000.0000071
2 '9720-0 ~ 352513
El~ 32 NODES~ 42 43 MATa 1SFACTZa 1.0000 SFACTJ~ 1.0000SiMXe 176.79 S3MNe -176.84 SZNTMXe
ANGL'E 0 45 90ZING) Z SAXL 120.$ S 85.250 0.33344E 01
BRAD 0, 0 O.SH 0. 0. 0.
SXH 78.858 80.$ 84 81.337Sl 159.53 '33 '9 81-3$ 4S3 38.981 ~ -48.538 -81.)21
BINT 198. 51 182 ~ 33 '62. 67SEQV 182. 18 163 ~ $ 5 140. 88
EPELAXl 0. 0000043 0. 0000031 0 ~ 0000000EPELRAD 0. 0000013 -0. 0000009 0. 0000000
EPELH 0. 0000013 -0. 0000009 0 ~ 0000000EPELXH 0.0000073 0.000007$ 0.0000076J SAXL 162.24 114.$ 0 -0.29459
SRAD 0. 0. 0.@ex n n. 0.
198.67135
~85.1820.0.
80.67648.637133. 8'2
182 ~ 46163 ~ 65
'0.0000031
0.00000090.00000090.0000075
-114. 910.0.
180-120.48
0.0,
78.98839.098
-159 ~ SB198.67182.30"0.0000043
Oe00000130 ~ 00000130.0000074
162.200.0.
225"8$ . 178
0.0.
77.26245.633130.81
„176.44158.63
'.0000031
0 ~ 00000090.00000090.0000072
-114.460.
SEQVHXa 184. 60270
0 ~ 39112E-010.0.
76.50976.52876.489153.02132.52
0.00000000.00000000.00000000.0000071
0.336720,
3158$ .255
0 ~
0.77. 170130o7945.533176.321$ 8 ~ 540.0000031
-0.0000009-0.0000009
0.0000072114. 95
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, SINT 191.34 155 29 106.44
SEQV 184.49 146.16 92.177 146 61EPRLAXL 0 ~ 0000058 0'0000041 0,0000000 Q,P000041EPELPAD -0.0000011 -0 ~ OOOOO1. O.0000000 0.0000012
RPELH -0.0000017 0.0000012 0 ~ 0000000 0.0000012EPEZXN Q.Q000047 0 ~ 0000049 O.PPOP050 O'QOQQ049ES ON NK93ER AT NODE 42 0 304494 -10.1459
43 0.177056 -10.1459
176. 84191 ~ 49184.60
0.00000580.00000170.00000170.0000047
0.27Z4440.358230
»
132'7'50.
89142. 66-0.0000041
0.00000120. 00000120.0000046
1929.451242.01
-48.221 -18.07596.779 151.10'3 ~ 814 142.92
0.0000000 0.00000410 ~ 0000000 -0.00000120.0000000 -0.00000120 ~ 0000045 0.0000046
-0.3525138-01 -1473 ~ 11-3 '5839 1982.87
w/si
30 NODES'3 4 6 HAT~ 1SFACTI~ 1..0000 SFACTJs 1.0000$ 1HX~ 176.79 $ 3HN~ -176 ~ 84 SINnar ~ 191 49
ANGLE 0 45 90 135END I SAXL 15Z. 24 114 ~ 50 -0. 29459 -114. 92
SRAD 0. 0. O. 0.SH 0. 0. 0. 0,
SXH 50 ~ 716 52.449 53.218 '2.573Sl 176.79 134. S9 53 ~ 071 20 ~ 423$3 -14 '49 -20 '93 -5'65 135.33
SINT 191.34 155.29'06.44 155.75SRQV 184. 49 146. 16 92. 171 146. 61
EPEI»AXL 0.0000058 0.0000041 0.0000000 -0.0000041RPRLRAD -0.0000017 -0.0000012 0.0000000 0.0000012
EPELH -0.0000017 -0 ~ 0000012 0 ~ 0000000 0.0000012RPELXH 0 ~ 0000047 0.0000049 0 0000050 O.0000049
END J SAXL 144.98 101.86 0.92093 -103 '5SRAD 0 0, 0. 0.
SR 0. o. 0» 0.SXH 50 716 52 ~ 449 53 ~ 218 52 ~ 513Sl 160.96 124.03 52.760 22.073$ 3 15. 980 -22 ~ 178 -53. 680 "125. 22
SINT 176.94 246.22 105.44 147.29sEQv 159.52 136 '8 92 '81 137 '9
EPELAXL 0.0000052 0.0000037 0 ~ 0000000 -0.0000037EPELRAD 0 0000016 0 ~ 0000011 0 ~ 0000000 0 ~ 0000011
RPELH 0.0000016 -0.0000011 0 ~ 0000000 0 ~ 0000011EFELXH 0.0000047 0.0000049 0.0000050 0.0000049
FORCES ON HEHBER AT NODE 43 0.177056 -10.145946 0.177056 10.1459
ELi 34 NODES> 46 47 HATN 1SPACTle 1 ~ 6428 SFACTJ~ 1.6428SINE~ 280.54 $3HN~ -280.56 SINIHXa 281»93
ANGLE 0 45 90 135SAXL 238. 16 167. 32 -1. 5265 -169.46SRAD 0. 0. 0. 0.
SH 0. 0. 0. 0.SXH 50.716 52.449 53.218 52.573
$ 1 248.51 182.40 52 '60 14.985S3 -10.350 -15.082 -53.987 -184.45
SINT 258.S6 197.48 206.45 199.43SEQV 253.84 190.39 92.1S9 192.3S
EPELAXL 0.0000085 0..0000060 0.0000001 -0.0000061RPELRAD 0.0000026 -0.0000018 0.0000000 0.000001S
EPELH -0.0000026 0.0000018 0.0000000 0.0000018EPEIXH 0.0000047 0 ~ 0000049 0.0000050 0.0000049
ZtG) J SAXl» 279.20 196.20 -1.7316 -198.64SRAD 0. 0. 0 ~ 0.
SH 0. 0. 0» 0.SXH 19. 387 21. 123 21. 899 21. 260Sl 280.54 198 ~ 44 . 21.050 2.2499S3 -1.3398 -2.2483 » -22.781 -200.89
SINT 281. 88 200. 69 43. 831 203. 14SEQV 281.21 . 199.58 37.969 202.03
RPELAXL 0.0000100 0.0000070 -0.0000001 -0.0000071EPELPJLD -0.0000030 -0.0000021 0.0000000 0.0000021
PPELH -0 ~ 0000030 -0.0000021 0»0000000 0»0000021EPELXH 0.0000018 0.0000020 0.0000020 0.0000020
FORCES ON HEHEER AT, NODE 46 0.177056 -10.145947 0.2266248 01 10.1459
84.60Z25
114. 460.0.
49. 15918.214
«232.67150.89142.66-0. 0000041
0.00000120.00000120.0000046
-101 ~ 810.0.
49.159'9
'61-121. 67141.54132.72-0.00000360.00000110. 00000110 ~ 0000046
1242.011242 F 01
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-162. 200.0.
50. 89114.646176. 84191. 49184.60-0 ~ 0000058
0.00000170. 00000170.0000047
-144»940.0.
50. 89116.084
-161.02177.11169, 64-O.OOOOO52
0 ~ 00000160. 00000160.0000047
0.368230'.368230
SR&Ca 2180
-238.120.0.
50. 89110. 421
-248.54258 '6253,91"0.00000850.00000260 ~ 00000260~0000047
-279 '90.0»
19 ~ 5811 ~ 3667280.56281.92281.24-0.0000100
0.00000300.00000300.0000018
0.36SZ300.407957
81» 25225
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49. 15913 '77
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-196 '90.0 ~
17. 8461. 6101197. 80199.41198. 61-0.0000070
0.0000021O.OOOOO210.0000017
1242.01,476.335
270 3150.33672 124.95
0. 0.0. 0 ~
48.389 49.03548.558 133.02
-48.221 18.07596.779 151.1083.814 142.920.0000000 0 ~ 00000410:0000000 0.00000120.0000000 -0 ~ 00000120.0000045 0.0000046
0. 95307 103 ~ 190. 0.0. 0 ~
48.389 49.03548.873 122.77
-47. 910 -19. 58496.784 142.3683. 818 ~ 133. 640.0000000 0 ~ 00000370 0000000 0.00000110.0000000 0.00000110.0000045 0.0000045
"3.85839 «2982.87-11.5146 -1771.92
270 3151.5686 169.50
0. ~ 0.0 ~ 0 ~
48.389 49.03549 ~ 180 182 ~ 67
-47. 611 13. 16396.792 195 '383.828 189.59
0 ~ 0000001 0.00000610.0000000 0.00000180 ~ 0000000 -0.00000180.0000045 0.0000046
1.7370 198 '50. 0.0. 0»
17.070 17.70817.961 200.'2l16.224 1.566334.184 201.7829.617 '201 F 00
0.0000001 0.00000710.0000000 "0»00000210.0000000 0.00000210.0000016 0.0000017
-12. 5146 1771. 91-12.9042 -2077.39
STR PIP
EL~ 35 NODES~ 47 '8 MAT~ 1SPACTI~ 1.6428 SFACTJ~ 1.6428$ 2NXe 280.54 $3HN~ -280 '6 SINTHX~
ANGLE 0 45 90RM) I SAXL 279.20 196.20 -1.7316
SRAD 0, 0. 0»SH 0 ~ 0. 0 ~
SXH 19.387 21.123 21.899Sl 280.54 198 '4 21.050$ 3 -1.3398 -2.2483 -22.781
SINT 281.88 200.69 43.831SEQV 281.21 ~ 199.58 '7.969
PELAXL 0.0000100 0.0000070 -0.0000001PEI RAD -0 ~ 0000030 -0.0000021» 0.0000000
EPELH -0.0000030 -0.0000021 0.0000000RpELxa o»nnoonia 0.0000020 0.0000020
281.93135
-198.640.0.
21.2502.2499200.89203.14202.03-0.00000710. 00000210,00000210.0000020
SEQVHX~ 281. 2 5180 225
-279.19 196.190. 0.0 ~ 0.
19. 581 17. 8461.3667 1. 6101280.56 197.80281. 92 199. 41
'281.24 198.61-0.0000100 -0.0000070
0 ~ 0000030 0 00000210.0000030 0.00000210.0000018 0.0000017
2701.7370
0.0 ~
17. 07011. 951
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0.0.
17. 708200 ~ 21
"1.5663201.78201 ~ 00
0.0000071-0.0000021-0.0000021
0 0000017
CALC. NO.Page~<
Rev. 0
,8-11-1997 11:55AM FROM MPR ASSOCIATES "INC 7@3 5i9 8224 P. 57
SH 0. 0.SXH -14. 325 -12. $ 91 -ll. 819 -12. 461
278,46 195 83 10.888 0.78202S3 0,73688 -0 '0952 -12.829 -198.55
SINT 279 '0 196.64. 23.717 199.34SEQV 278,83 196.23 20.562 198 ~ 95
EPELAXL 0.0000)00 0 ~ 0000070 -0 0000001 -0.0000071PEZRAD -0 0000030 -0 ~ 0000021 0.0009000 0 ~ 0000021
O.poooQ30 -0.0000021 0 ~ 0000000 0 ~ 0000022BPELXH 0 PPPP013 -0. 000001'2 0.009001 1 -0 ~ 0000012
RCES ON HEHBER AT NODE 47 0.226624B-01 -20 ~ 145948 -0.235181 -10-1459
EL 33 NODBSe 48 44SFACTZ 1 ~ 0000 SFACTJe 1.0000S)2D(r 170. 26 S3HNr -170. 26 SINZHX=
ANGLE 0 45 90 135END I SAXL -169.08 -118.74 1.1558 '20.36
SRAD Q, Q.'. 0.SH 0. " 0. 0. 0 ~
SXH -14. 141 -15. 875 -16. 647 -16. 005Sl 1. 1745 2.0859 '7-235 122.4583 -170 ~ 26 -120. 82 -16. 079 -2. 0919
SINT 171. 43 122:91 33 ~ 314 124 ~ 54SEQV 170. 85 121. 88 28 ~ 857 123 ~ 51
EPELAXL -0.0000061 -0.0000043 0.0000000 0 ~ 0000043EPELRAD 0.0000018 0,0000013 0.0000000 -0 ~ 0000013
EPELH 0.0000018 0.0000013 0 ~ 0000000 -0.0000013EPELXH -0 ~ 0000013 -0. OQOOQ)S -0 0000016 0 ~ 0000015
END J SAXI -)69e06 -218.72 1.1565 120.3SSRAD 0. 0. 0. 0.
SH 0 ~ 0. 0. 0.SXH -14. 141 -15. 875 -16 ~ 647 -16. 005Sl 1. 1747 2. 0861 17. 23$ 122. 44S3 "'70. 24 -120. 81 -16. 079 -2. 0921
SZNT 171.41 122 ~ 89 33.314 124.53SEQV 170.83 121.86 28.857 123-$ 0
EPELAXL -0.0000061 -0 ~ 0000043 0.0000000 0 ~ 0000043EFELFWD O.OOOOO)8 O.OOOOO)3 O.OOOOOOO -O.OOOOO)3
EPELH 0.0000018 0.0000013 0.0000000 0 ~ 0000013EPELXH -0. 0000013, -0. 0000015 -0. 0000016 -0. 0000015
FORCES ON NENSER AT NODE 48 -0.13S)81 )po)45944 -0.135181 10.1459'
~
-14.1410.71809-278 '8
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0.0000001 0.00900710 ~ 0009000 0 ~ 00000210.0000000 -0.00000210.0000016 -0.0000015
-12. 9042 -2077.39-14.3248 -2066. 60
270 315-1.1880 -120 ~ 39
0. 0.0. 0.
12.. 829 12 ~ 46111. 240 1.2762
-12.428 -121.6723i667 122.9420.505 122 '1
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-1.1887 -120. 380 ~ 0.0. 0.
-11. 819 "12 ~ 46122.239 1 ~ 2763
-12.428 121.6523 '67 122.9320.505 122.30
0.0000000 -0.00000430.0000000 0 ~ 00000130.0000000 0 ~ 0000013
-0.0000021 0.000001214.3248 2066.6014.3333 2066.37
H5/5 i
STR PIP
36 NODBSr 44 49 NATe 1TOUT.TZN(Z)r 0.00 0.00 TOUT,TZN(J) ~ '.00
r OaCTIe 1,0000 SFACTJe 1.0000
S1HXr 170. 24 S3HNe -170. 24 SINTHXc 171. 4$ANGLE 0 45 90 13$
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SH 0 , 0, 0. 0.SXH -24')42 -1$ .875 -26e647 -16.005Sl 1.1747 2.0861 17.235 122.44S3 -170 ~ 24 120. 81 -16. 0'79 "2. 0921
SINE 171.41 122.89 33.314 ~ 124.53SEQV 170. 83 121. 86 28. 857 123.50
EPELAXI -0 ~ 0000061 -0.0000043 0.0000000 0.0000043EPELRAD 0 ~ 0000018 0.0000013 0.0000000 -0.0000023
BPELH 0.0000018 ~ 0.0000013 0.0000000 -0.0000023EPELXH -0 ~ 0000023 -0. 0000015 0. 0000016 -0 ~ 000001$
BPTHAXI 0.0000000 0.0000000 0.0000000 0.0000000BPTNmu 0.0000000 0.0000000 0.0000000 0.0000000
EPTHH 0.0000000 0.0000000 0 ~ 0000000 0.0000000WD J SAX'49.14 -104.10 1.9136 106.80
SRAD 0. 0. . 0. 0.SH 0.'. 0 ~ 0.
SXH 14.141 -15. 875 -16. 647 16.005Sl, 1 ~ 3290 2.3671 17.631 109.14S3 )50.47 -106.47 -1$ .718 2.3470
BINT 151 ~ Bo 108. 83 33. 349 111. 49SEQV 151. 14 107 ~ 67 28. 897 110.34
BPBLAXL -0.0000053 -0.0000037 0.0000001 0.0000038EPELPAD 0 ~ 0000016 0.0000011 0.0000000 -Oeopppo)2
EPELH 0+00000)6 0 ~ 0000021 0 ~ 0000000 0 ~ 0000011BPELXH -0. 0000013 0. 000001$ -0 ~ 0000016 «0. 0000015
KPTHAXL 0.0900000 0.0000000 0.0000000 0.0000000EPTNRAD 0.0000000 0.0000000 0.0000000 0 ~ 0000000
BPTHH 0.0000000 0 ~ 0000000 0.0000000 0.0000000FORCES ON NBNBBR AT NODE 44 -0.135181 10.1459
49 -0 ~ 135182 10.1459
0.8522$
118.690.0.
-22.591120. 01
-2.3209121.33120.
68'.0000043
0. 0000013-0.0000013-O.OOOOO)20.00000000.00000000.0000000
204a070.0.
22.59110$ .571. 5016107. 07106m 33
0.0000037-0.0000011-0. 0000011-0. 0000012
0.00000000.00000000 0000000-347.955-347.9$ 5
8EQVNXr 17180
169.03Oo0.
14.3251'70. 24
-1. 205423).44170'84
0 ~ 0000061-0.0000018
0.0000018-0.0000023
0 ~ 00000000.00000000.0000000
149. 110 ~
0.-14.325
1$ 0.47-l.3637151. 841$1.160.0000053
-0. 0000016-0.0000026
0 ~ 00000130.00000000.0000000Oeopppppp
0.38557$0.385575
270 315-1. 1887 -220 ~ 38
0. 0.0. 0.
-12. 819 12 ~ 46112.239 1.2763
-12.428 -221 ~ 6623.667 122.9320.505 122.30
0.0000000 0.00000430.0000000 0.0000013 ~
0.0000000 0.0000013. -0.0000011 -0.0000012
0.0090000 0.00000000.0000000 0.00009000.0000000 0.0000000-i.9457 106. 83
0. 0.0. 0.
"11. 819 -12.46110.886 1.4342
-12.831 -108.2623 '17 )09:7020.$ 63 208.99-0.0000001 -0.00000380.0000000 0.00000110.0000000 0.0000011
-0.0000011 -0 ~ 0000012O.OOOQOOO O ~ OOQOOOO0.0000000 0.00900000.0000000 0.0000000
14.3333 2066.3723.$ 871 1822.87
VALVE
37 NODESr 49 5Q HATe 1CTIe 1.0000 SFACTJr . 1.0000
150.49 S3HNe -150.48 SINTHXeANGLE 0 45 90
I SAXL -149.14
151 ~ 86 SBQVKtr 151. 18135 280 22$
Rage
Rev.
270 31$.83
SIR PIP
,8-11-1997 11:56AM FROM WPR ASSPg~ATEg INC 783 5>9 8224 P. SS
SXHSl83
SINTSEQV
EPELAXLEPELRAD
EPELHEPELXHJ SAXI»
SRADSH
SXHSlS3
SZNTSEQV
EPELAXLSPELRAb
EPELHEP LXH
FORCES ON MEM
14.141 -15. 875 16. 647 -16,POS1,3290 2.3671 17.631 109 14150.47 -106. 47 -15.718151 ~ 80 108 83 33 349 111 49151, 14 107. 67 28. 897 lip.34-0 ~ 0000053. -0.000003 I 0 0000001 0.0000938P.0000016 0.0000011 0.0000000 -O.PPPPP110,0000016 0.0000011 0.00090000.0000013 -0.0000015 -0.0000016 0 P000015
104.94 -71 ~ 6$ 9 3.5932 76.7310. 0. 0 ~ 0.0. 0. 0. 0.
14.141, -15.87$ -16.647 -1$ .0051.8721 3 '594 18 '40 79.936106 '2 -7'19 -14 '47 -3.204S108.69 78 378 33 ~ 488 83.141107,76 76 ~ 7$ 4 29.0S7 81 ~ Se6-O,CP00038 0.0000026 0.0000001'.0000028
0.0009011 0.0000008 0.0000000 -O.OOOPOOBo.oooooll o.ooooooe o.ooooooo -o.oooooos
-O,OPPCP13 -0.0'00001$ -0.0000016 -0.0000015BER AT NODE 49 -0»13S181 10.1459
$ 0 -0.135181 10.1459
-14.325150 ~ 471.3637151. 84151.16
0.0000053-0.0009016-0.0000016
0.0000013104. 91
0.0»
-14. 325106. 83
-1. 9207108.75107 ~ 810.0000038
-0.0000011-0. 0000011-0 ~ 0000013
0.3855750.385575
-12. 591105.
57'1.
$ 016107.07106: 33
0.0000037-O.OOOOO11-0.0000011"0.000001271.627
0.0.
-12. 59173»776
-2.14877$ .92574.873
0.0000026-0.0000008
0.0000008-0.0900012-347.954-347.954
-11. 819 -12. 46110.886 1.4342
-12 ~ 831 -108.2623.717 109»7020 '63 108 '9-0.0000001 0.00000380.9000000 0.00000'110.0000000 0.0000011
-0.0900011 -0.0000012-3.6254 -76.764
0. 0.0 ~ 0.
-11. 819 -12. 46110.144 1 ~ 972113.770 -78.73623.914 80.708
. 20.789 79.740-0.0000001 -0.0000028
0.0000000 0.00000080.0000000 0.0000008
-0.0000011 -0 ~ 000001223. 5871 1822. 8744. 1190 1282.60
EL~ 38 NODES'„ 50 51 FORCs 0.84143E 04 STRETCHY 0.000084 RATEi 1.00000
SEQVMXi 107 ~ 90180 225
104.91 71 '270. 0.0. 0.
-14. 325 12. 591106.83 73 '76
-1.9207 -2.1487108.75 '75,925 .
107. 81'4 ~ 8730.0000038 0.0000026
--0.0000011 -0.00000080.0000011 '-0.0000008
-0 ~ 0000013 0.000001292 '62 62.489
0. P.0. '0
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-14.325 12.59194.630 64.930
-2 ~ 1684 -2.441496.798 67» 37295.733 66. 1850.0000033 0.0000022
-0.0009010 -0.0000007-0.0000010 -0»4000007"0.0000013 -0 ~ 0000012
0.385575 347.9540.385575 -347.954
ETCH< 0.000865 RATE~ELa 40 NODESe 52 53 P0RCe 0 ~ 86548E~03 STR
ELe 39 NODESa 50 52 MAT~SFACTZ~ 1.0000 SFACTJ- 1.0000SIHXa 106 '2 S3MN~ -106.86 SZNTHX< 108.86
ANCLE 0 45 90 135EllD I SAXL 104.94 -71. 659 3 ~ 5933 76.732
SRAD 0 ~ 0. 0» 0.SH 0» 0 ~ 0. 0.
SXH -14 ~ 141 "15. 875 -16. 647 -16. 005Sl 1. 8721 3. 3594 18.$ 40 79.936$ 3 -106. 82 75. 019 -14. 947 -3. 2045
SZNT 108. 69 '78. 378 33. 488 83.141SEQV 107.76 76.754 29.057 81.586
EPELAXL -O.OOOOO3S -O.OOOOO26 O.OOOOOOI O.OOPOOISEPELRAD 0.0000011 0.0000008 0.0000COO -0.0000008
EPELH 0.0000011 0.0000008 0.0000000 -0.0000008EPELXH -0.0000013 -0.0000015 -0.0000016 -0 ~ 0000015
END J SAXL 92.494 -62.521 4.0664 68.262BRAD 0. 0. 0. 0.
SH 0. 0. 0. 0.SXH -14.141 '15.87$ -16.647 -16'.005
Sl 2.1137; 3. 8000 18. 894 71. 829S3 -94.607 -66.321» -14.738 -3.5662
SZNT 96. 721 70.121 33. 542 75. 395SEQV 95 ~ 682 " 68 ~ 300 29 119 73 ~ 676
EPELAXL -0.0000033 0.0000022 0.0000001 0.0000024EPELP~ 0 ~ 0000010 0 ~ 0000007 0 ~ 0000000 0 ~ 0000007
EPELH 0.0000010 0.0000007 0.0000000 -0.0000007EPELXH -0. 0000013 -0. 0000015 -0. 0000016 0 ~ 0000015
FORCES ON MEMBER AT, NODE 50 0 ~ 1 3 50 97 1 0 ~ 1 4 5952 -0.135097 10.1459
270 315-3.6254 -76 '64
0. 0.0. 0.
-11 '19 -12.46110. 144 1. 9721
-13 F 770 -78 '3623.914 80.70820.789 79.740-0.0000001 -0.00000280.0000000 0.00000080.0000000 0.0900008
-0.0090011 -0.0000012-4.0986 -68.294
0. 0.0. ~ 0.
-11. 819 -12 ~ 4619.9457 2.202614.044 -70 '9723 '90 72 ~ 70020.877 71.624C.oocoool "0 ~ 00000240.0000000 0.00000070.0000000 0 ~ 0000007
-0.0000011 -0.000001244. 11'90 1282» 6049.9026 1130.41
1.00000
STR PZP
96.94713$
68.2620.0.
-16.00571. 828
-3 '66275.39573.676
0.0000024-0.0000007
0.0000007-0.000001565.439
0 ~
0.-16.005
69.144-3.704772.84871. 068
0 ~ 00000230.0000007
-0.00000070.0000015
1 4
CALC. NO.
EL- 41 NODES> S2 Sd NATi 1SFACTZ~ l. 0000 SFACTJs '. 0000S1MX- 94.750 S3MN~ -94. 665 SINTMX>
ANOLE 0 45 - 90END I SAXL -92 ~ 494 -62.521 4.0664
BRAD 0 ~ 0. 0.SH 0. o. 0.
SXH 14. 141 -15. 87 5 -16. 647Sl 2. 1138 3. 8001 18. 804S3 -94.608 -66.321 -14.738
SINT, 96.721: 70.121 33.542SEQV 95 '82 68.300 29.119
EPELAXL -0.0000033 -0.0090022 0 ~ 0000001EPELRAD 0.0000010 0.0000007 0.0000000
EPELH 0.0000010 , 0.0000007 0.0000000EPEIXH 0.0000013 0,.0000015 -0.0000016
END J SAXL -88.344 -59.475 4.2238SRAD 0» 0. 0»
SH 0» 0. 0.SXH -14. 141 -1$ . 87$ -16. 647
Sl 2.2084 '.9722 18.892S3 -90.5S2 -63.447 -14.669
SINT 92.761 67.419 33.561SEQV 91 ~ 676 65 ~ 524 29 ~ 141
EPELAXL -0.0000032 -0.0000021 0.0009002.PELRAD 0.0000009 0 ~ 0000006 0.0000000
EPEIH 0.0000009 '0.0000006 0.0000000EPELXH 0 0000013 0 ~ 000001S -0 ~ 0000016
PCES ON MEMBER AT NODE 5'2 0.1350 7
SEQVMX~ 9180
92.4620;0.
»14.32494.630
-2 '68396.79895.733
0.0000033-0.0000010-0.0000010
0.000001388. 312
0.0.
-14.32490.577
-2.265492.842'1.731
0.000003'20.0000009
-0.00000090.0000013
$ .867225
62.4890.o.
-12.$ 9064.930
-2. 441467.37266.1850.00000220.0000007
-0.0000007-0. 000001259.443
o.0.
12.59062.0002.556864.$ $ 763»3170.0000021
-0 ~ 0000004-0.0000006-0.0000012
2704.0986
0.0.
-11. 8199.9457
-14.04423.99020.877-0. 0000001
0.00000000 ~ OOOCOOO
-0.0000011-4.2559
0.0.
-11. 8199.8807
-14 ~ 13724 ~ 01720,908-0.0000002
0.00000000.0000000
-0.000001149 02
31$-68.294
P.0.
-12. 4612.2026
-70»49772.70071.624
0.00000240.00000070.0000007
-0.0000012-65.471
P.0.
-12. 4612.2915
-67.76370.0$ 468.937-0.00000230.00000070.0000007
-0.00000126 1130 F 41
Rev.
Page~<
STR PIP
, 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'IEL» 43 NODES» S4 59 NAT»
SFACTZ» 1.0000 SFACTJ 1.0000SINE» 90.112 S3HN» -90. 616 SINTNX» 93 012
OGLE 0 45 90 135I SAXL -88.344 -59 ~ 475 4.2238 65,439
SRAD 0 ~0. 0. 0.
SH 0 ~0 ~ 0. 0.
SXX "14. 141,-15. 900 ~16. 681 -16. 029SI 2 ~ 2084 3 ~ 9836 18. 927 69. 154$ 3 -90 ~ 552 -63.'459 14.703 3 7153
SINT 92. 761 67. 442 33. 629SEQV 91. 676 65 541 29.200 71.085
EPELAXL .0 ~ 0000032 -0.0000021 0 0000002 0 0000023EPELRAD 0 ~ 0000009 0 ~ 0000006 0.000QQPP p pppppp7
EPELH 0 ~ 0000009 0.0000006 p.ppppppQ 0 Oopppp7EPELXH -0. 0000013 -0,0000015 0. 0000016' 0000015
-20.094 -9.4111 6.7754 18.984SRAD 0. 0.'. 0.
SX 0. 0. 0. 0.SXH -14. 141 -15 ~ 900 -16. 681 -16. 029Sl 7. 3000 11 ~ 876 20. 410 28, 120S3 -27.394 -21.287 -13 ~ 634 -9.1368
BINT 34. 694 33.163 34 ~ 044 37.257SEQV 31. 681 29. 103 29 ~ 677 33 ~ 633
BPBLAXL -0.0000007 -O.OOO0003 0.0000002 0.0000007EPELRAD 0.0000002 0,0000001 0 ~ 0000001 -0.0000002
EPELH 0.0000002 0.0000001 -0.0000001 -0.0000002EPELXH 0. 0000013 -0. 0000015 0 ~ 0000016 0 0000015
PORCES ON NENBER AT NODE 54 -0.135097 10.290159 -0.135097 10»2901
SZqmp(» 91180
88.3120.0.
14.32490.577
-2.265492.84291. 7310.0000032
-0.00000090.0000009
-0.000001320.062
0.0.
14.32427. 5187.456434 '7531.907
0.0000007-0.0000002-0.0000002-0. 0000013
0. 3847100.384710
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59.4430.0.
-12.56661. 990
-2.547364.53863.302
0 ~ 0000021-0.0000006-0.0000006
0.00000129.3790
0.0.
-12. 56618. 102
-8. I23226.82523.700
0.0000003-0.0000001-0.0000001-0 ~ 0000012
347.954-347.954
270 315-4.2559 65.471
0.0.
0.0.
23.95020.850-0.0000002
0.00000000.00000000.0000011
70»03768.924
0.00000230.00000070.0000007
-0.0000012-6.8075 -19. 015
0 ~
0 ~
-11.7848.8623
-15:67024.53221. 516-0.0000002
0. 00000010.0000001
-0.0000011
0 ~
0.-12» 437
6 ~ 146925. 16331 ~ 31028.734-0.0000007
0.00000020 ~ 00000020.0000012
1019. 5851.8261245.42683. 0159
-11.784 -12 ~ 4379 '459 2.2829
-14 ~ 103 "67.754
STR PIP
EL» 45 NODBS» 59 60 NAT» ISFACTX» 1.0000 SFACT»7» 1.0000SINX» 29 '36 S3NN- 27.665 SZNTNX» 37.257
A!&LE 0 45 90 135END I SAXL -20.094 9.4111 6.7754 18.984
SRAD 0 ~ 0. 0. 0SH 0. 0. 0. 0.
SXH 14.141 -IS,900 -16.681 -16.029Sl 7.3000 11.876 '0.410 28.120S3 -27.394 -21..287 -13.634 9.1368
BINT 34. 694 33. 163 34.044 31,2S7SEQv 31. 681 29. 103 29. 677 33. 533
ELAXL -0.000000'7. -0.0000003 0.0000002 0:0000007BLRAD 0.0000002 0.0000001 -0.0000001 "0.0000002EPELX 0.0000002 0.0000001 -0.0000001 -0.0000002
EPELXH 0 ~ 0000013 -0. 0000015 -0. 0000016 0 ~ 0000015END 4 SAXL -19»776 -8. 9073 7.1807 19 ~ 064
SRAD 0 0 ~ 0. 0.SH 0. 0. 0. 0.
SXX -10.172 -11.932 -12.717 12.069Si 4.2980 8.2823 16.805 24.911$ 3 -24.074 17.190 - -9.6242 -5.8471
SINT 28.372 25.472 26.429 30.758SEQV 26.485 22.504 23.168 28.291
EPEIAXI» 0.0000007 -0.0000003 0.0000003 0 ~ 0000007EPBLRAD 0.0000002 0 ~ 0000001 -0 ~ opooopl -0.0000002
EPELH 0»0000002 0.0000001 0.0000001 -0.0000002EPELXH -0.0000009 0.0000011 -0 ~ 0000012 -0.0000011
FORCES ON NEYBER AT NODE S9 0 135097 10.290160 0. 224089B-QI, 10. 2901
SEQVK(» 33180
20.062'.
0.-14.32427. 518
-7.456434.97531. 907
0.0000007-0.0000002-0.0000002-0,000001319.781
0.0 ~
-10.36624.218
-4.436828.6552~714
0.00000070.0000002
-0.00000020.0000010
0.3847100.407125
.660225
9.37900»0.
12.56618. 102
-8.723226.82523.700
0.0000003-0.0000001-0 ~ 0000001
0. 00000128. 9126
0.'.
-8.606014.148
-5.2350'9.383
17.3670.0000003
-0.00000010.0000001
-0.0000008347.954
-251. 045
315-19. 016
0'.0.
-12.4376 '469
-25. 16331. 31028.734-0»00000070.00000020.0000002
-0.000001219.059
0.0.
-8.45903.219522.27825.49824.050-0.0000007
0 ~ 00000020.0000002
-0.000000883.015987.7411
'245.426241.765
270-6.8075
0.0 ~-II.784
8.8623-15. 670
24.53221.516-0.0000002
0.00000010.0000001
-0.0000011-7. 1753
0.0.
-7 '2035 ~ 016312. 19217. 20815. 328-0.0000003
0.00000010.0000001
-0.0000007
EL» 46 NODES» 60 61 NAT»SFACTZ» I ~ 0000 SFAC1Q» 1.00SINE 25.885 S3HN -24.588
ANGLE 0 45>~ Z SAXL -19 ~ 776 -8.9013BRAD, 0. 0.
SH 0. 0.SXH 10 ~ 172 -11 ~ 932Sl 4. 2980 8. 2823S3 -24 ~ 074 -17. 190
S17G'8.372 25.472SEQV 26.486 22.504
EPELAXL "0.0000007 -0.0000003EPELRAD 0 ~ 0000002 0.0000001
EPELH 0.0000002 0.0000001EPELXH -0 ~ 0000009 -0.0000011
EW»7 SAXL -16.447 "6.2806SRAD 0. 0»
SH 0. ~ 0.SXH -6.5165 '8 ~ 3335Sl 2. 3063 5. 7653 ~
'3-18 ~ 753 -12. 046SINT 21.060 17. BllSROV 'Pp,pod 15.741
I00
907.1807
0.0,
-12. 71716.8059.624226.42923.168
0 ~ 0000003-0. 0000001-0.0000001-0.00000127.5772
0.0.
-9.112513. 6576.080119.73717.508
30.758135
19. 0540.0 ~
-12.06924. 911
-5 ~ 847130.75828.291
0.0000007-0»0000002-0.0000002-0.000001117. 009
0.0.
-8.457220.498
-3.489323.98722.447
SEQVNX» 28.615180 225
19.781 8.91260. 0.0. Q.
-10 '66 -8.606024.218 14.148
-4.4368 5.235028 '55 19.38326.714 17 '67
0.0000007 0.0000003"0»0000002 -0.00000010.0000002 -0.0000001
-0.0000010 -0.000000816.489 6.3225
0. 0 ~
0 ~ 0 ~
5.7514 -4 '94418. 901 9. 0721
-2.4117 -2.149521.312 11.82220. 215 10.715
270-7, 1753
O.0.
7.82035.0163
-12. 19217.20815.328-0.0000003
0.00000010.0000001
-0.0000007-7.5352
0.0»
-4. 2154l. 88619. 4213ll.30710 '92
315-19.059
0 ~
0.-8.4690
3.2195-22.27825.49824 F 050-0.00000070.00000020.0000002
-0.0000008-16.967
0.0»
4.87071.2988
-18. 26519. 56418. 948
CALC. NO.Page <~
Rev.
.8-11-1997 11:57AM FROM MPR A99PP1ATE9 INC 783 519 8224
EPELH 0.0000002 0.0000001 -0.0000001 0 P000002 -0.0000002 -0.0000001EPELXH -P.0000006 -0 ~ 0000008 -P.POPOPP8 P PPPPP08 -Q ~ QPQ0006 0 ~ 0000005
FORCES ON MEMBER AT }}ODE 60 0 ~ 224089E 01 1P,29Q1 P.401125 -251.04661 0.176503 10.2901 0. 367559 -162. 915
P. 68
0.0000001 0.0000002 l5/5 1
0 ~ 0000004 0 ~ 000000587.7411 241.76592.3639 201.298
EL 44 NODES a 61 57 MATw 1ACTZa 1,0000 .
SFACT»7i 1.0000e 21.042 S3MNN -19 108 SZNTHX~ 24.128 SEQVMXs 22 ~ 643
ANOLE 0 45 90 135 1SO 225SAXL 16 489 6 ~ 3226 7 5352 16 ~ 967 16 ~ 441 -6 ~ 2806SEAD 0. 0 0. 0. 0» 0 ~
SH 0 ~ 0. 0. '0. 0. 0.SXH -6.7514 4 ~ 9944 -4 ~ 2154 -4 ~ 8707 -6.5765 -8 ~ 3335Sl 18 ~ 901 9 ~ 0121 1.8861 1.2988 2.3063 5 ~ 1653S3 2.4117 -2 ~ 7495 9 4213 -18.265 -18.753 12 ~ 046
SINT 21. 312 11. 8'22 11. 307 19. 564 21. 060 1'1. 811SEQV 20.215 10.715 10.492 18.948 . 20.006 15.741
BPELAXL 0.0000005 0.0000002 -0.0000003 -0.000P006 -0.0000006 -0.0000002EPELRAD -0.0000002 -0.0000001 0 ~ 0000001 0.0000002 0.0000002 0.0000001
EPELH -0.0000002 -0 ~ 0000001 0 ~ 0000001 0.0000002 0,0000002„
0 ~ 0000001EPELXH -0.0000006 -0.0000005 -0.0000004 -0.0000005 -0.0000006 -0.0000008
WD»7 SAXL 15.909 -17.404 -8.6924 5.1237 15.951 17 ~ 446SRAD 0. 0. ~ 0. 0. 0. 0.
SH 0. 0. 0. 0. 0. 0.SXH -6.7514 -4.9944 -4.2154 -4.8707 -6.5765 -8.3335Sl 2.4189 1.3314 1 ~ 7085 8.0652 18.313 20.787S3 18.388 -18.736 -10 ~ 401 -2 ~ 9415 -2.3618 -3 ~ 3409
SINE 20. 861 20. 067 12. 109 11. 001 20. 674 24.128SEQV 19.744 19.436 11.352 9 '704 19.600 22.643
BPELAXL -0 ~ 0000006 -0.0000006 -0.0000003 0 ~ 0000002 0.0000006 0.0000006EPBLRAD 0 ~ 0000002 0 0000002 0 ~ 0000001 0 ~ 0000001 0 ~ 0000002 0 ~ 0000002
EPELH 0.0000002 0.0000002 0.0000001 0.0000001 "0.0000002 0.0000002EPELXH -0.0000006 "0.0000005 -0.0000004 -0 ~ 0000005 -0.0000006 -0.0000008
FORCES ON }}EM5ER AT NODE 61 '.176503 10.2901 0.367559 -162.91557 0.176503 -10.2901 "0.367559 -162.915
ELEME}}T RESULT CALCULATION TIMESTYPE NUMBER ENAME TOTAL CP AVE CP
270 3157.5772 17.009
0. 0.0. 0.
-9.1125 -8. 457213. 651 20.498
%6.0801 3.489319.137 23. 98717.508 22.447
0.0000003 0.0000006"0 ~ 0000001 -0.0000002-0.0000001 -0.0000002-0.0000008 -0.00000088.7344 5.0817
0. 0.0. 0.
-9 ~ 1125 -8.457214.472 6.2898
-5 '378 -11.37220.210 17.66118»039 15.505
0.0000003 -0.0000002-0 ~ 0000001 0 ~ 00000010.0000001 0.0000001
~0.0000008 -0»000000892.3639 201.298
"106. 510 194.7l9
STR 'PIP
38,PIPB1630 PIPE1820 COMBZN14
5 PZPE163 PIPE16
0.5930.4630.0160.0910.047
0.0160 ~ 0150.0010.0180. 016
NODAL LOAD CALCULATION TINESN'JMBBR ENAME TOTAL CP AVE CP
12345
I
38 PZPB1630 PIPE1820 COHBIN14
5 PZPE163 PIPB16
0.0040.0030.0020. 0010.000
0.0000.0000.0000.0000.000
"~+ ANSYS - BNGINEERZNO ANAIYSIS SYSTEM RELEASE S.3msYS/Mechanical40197CHC VERSION~SOLARZS 09}21:29 AUD 08, 199'7 CP= 2.532FOR SUPPORT CAIL Edward Bird PHONE 703 519-0410 FAX 703-519-0224
~*~~~ REACTION SOLUTION TIME s 1.0000LOAD STEP~ 1 SUBSTEP = »1 CUM. ZTER.w 1
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CALC NO S~g-~S ~d.o Page Cg
Rev. 0
, 8-11-1997 11s58AM FROM MPR ASSOC(ATES INC 7@3 519 8224 P. 61
122 -149. 105125 0127 0.
-472. 6161.64602
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NOTE CP»
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LOAD STEP 1 SUBSTEP 1 cosspLETEDTIME — 1.00000 TIHE INC» 1.00000
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-523/.23 1328 '8
PROBLEM STATISTICSACTUAL NO. OF ACTIVB DECREES OF FREEDOM » 444R.M.S. WAVEPROffT SIZE » 25.9
~ "» ANSYS BINARY FILE STATZSTICSBUFFER SIZE USED» 16384
0.188 Mb WRITTEN ON ELEMENT MATRIX FILEs zwcu.emat0.125 MB WRITTEN ON Ef EMEHT SAVED DATA FZLEs rwcu.esav0.125 MS WRITTEN ON TRZANCULARZZED MATRIX PILEs rwcu.trl0.250 MB WRITTEN ON RESULTS FILE ~ zsNcu. ZSt
ALL CURRENT ANSYS DATA WRZTT8N TO FILE NAME» rwcu.dbFOR POSSZBI,E RESUME FROM THIS POINT
1
FINISH SOLUTION PROCESSINC
ROUTINE COMPLETED CP » 2.603
ANSYS - ENQZNEERXNG ANALYSIS SYSTEM RELEASB 5.3ANSYS/Mechaoical40197CBG VERSION»SOLARIS 09s21s29 AUC OS, 1997 CP» 2.604FOR SUPPORT CAfh Ecbrnrd Bird PHONE 703-519 0410 FAX 703-519
0224'»"
~ » SSNSYS RESULTS INTERPRETATION (POSTl) o»o~e
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USE LAST SUBSTEP ON RBSUIT FILE FOR LOAD CASE 0
SET COMMAND COT LOAD STEP»,' SUSSTEPs 1 CUMULATIVE ZTERATIONc 1TIME/FREf)UENCI= 1. 0000
TITLE»
SELECTZN RANCE
POR ITEM»TYPE COMPONENT»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 COMPOÃENTcIN 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
CALC NO Eral-/s-i<ore Page
Rev.
„8-11-1997 >1:684M FROM MPR 4+SQC/4TES INC 783 6)9 (-')224
~ SELPCT FOR ZTSMeAREA COMPONENT~
IN RANGE 0 STEP 1
AREAS (OF 0 DEFINED) SEt ECTED BY ASBL COMMAND.
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L SELECT FOR ITEMvLINB COMPONENT~
RANGE 0 TO 0 STEP 1
0 LZ~ {OF 0 DEFZM D) SELECTED BY LSBL COMMAND
ALL SELECTZtt RANCE
FOR ZTEMeKP COMPONENTa0 TO 0 STEP 1
0 KEYPOIN"S (OF 0 DEFINED) SELECTED BY KSEL COtCvJO{D.
ALL SELECTIN RANGE
POR ITEHvELEM COMPONENT=1 TO 96 STEP 1
96 EIEMSMTS (OF 96 DBFZNED) SELECTED BY ESBL COMMAND.
ALL SELECTZN RANCE
FOR ZTEMeNODB COMPONENTi1 TO 127 STEP 1
127 NODES (OF 127 DEFINED) SELECTED BY NSEL COYNQiD.
PRZNT ELEMENT TABLE ITEMS PER ELEMENT1
v*v"v ANSYS ENGINEERING ANALYSIS SYSTEM RELEASE 5 3
ANSYS/Mechanical40197CHG VEPiSZONeSOLARZS 09:21:29 AUG CSEE 1997 CPa 2.690POR SUPPORT CAt t Edward Bird PHONE 703-519-0410 FAX 703-519-0224
'I
POST1 ELEMENT TABLB LISTING vvvv*
STATEl EM
123
1113151617181920212223252527293031323334353637394143444546474S4950
1
CURRENTSMI
639.64598.12639.64627.40324. 12435.06383.4988.00625.54481.396223.50218.85206.78203.69206.77205.07196 ~ 85199. 68197 ~ 07197. 08198. 80201.81204 '5191. 41203.06198.59171.45177.03174. 36171. 43151.83108.7896.84692.89822.49335.49029.4031067.9553.57637.82485.94
'CURRENTSMJ
639.64435.06627 ~ 40598.12 ~
88.006383.49324.12.25.54481. 395223.50218.85206.78206.'77199.68205.07203.69 .197. 08197 F 07196. 85198. 80201. 81204,35203.06177.03198. 59 ~
191.41 '171. 43174. 36171.45151. 83108 ~ 7896.84692.89835.49022.52429.40322.493,637,82'043 ~ 8485.94 .553. $7
CURRENTSPACTZ
1.00001.00001. 64281.64281. 00001.00001.00001.00001.00001 ~ 00001.00001. 00001. 00001.00001. ~ 64281.6428la00001.0000'.0000
1.00001.00001.00001.00001.00001.00001.00001.00001.64281.64281.00001.00001. 00001.00001.00001.00001. 00001 F 00001.00001.00001.642S1.6428
CURRENTSFACTJ
1.00001.00001.64281.64281. 00001.00001 F 00001.00001.00001.00001.00001.00001.00001.0000l. 64281.64281.00001. 00001.00001.00001.00001.00001.00001.00001.00001.00001.00001.64281. 64281. 00001. 00001.00001. 00001 F 00001.00001. 00001,00001. 00001. 00001.64281.6428
vv ANSYS - ENGZNEERZNG ANALYSIS SYSTEM RELEASE 5 ~ 38/Mechanic eel
97CHG ,VERSION~SOLARZS 09:21:29 ~ AUG 08, 1997 CPe 2.703R SUP PORT raLL zd~erd Bird PHONE 703-519-0410 PAX 703-519-0224
Pggg 7D
.,8-11-1997 11:59AM FROM MPR PSSPPgPTE9 [NQ 7'19 8224 P. 63
y *res POST1 ELEMENT TABIvE 'LISTING
STATELEH
575S60626568697071727374767778798081828384858687889091929394
CURRENTSMZ
1010. 71043 ~ 81120.1903.02395.69834v8253S.801058 '1124.72161. 6371. 94586.50497.40542.65281.37648.48618.71199.37342 '9342. 81205v02243.50335.83171. 72177. 82171.79176.86177.54187. 18195. 62372.64657.90639.641067. 9657.90
CURRENTSMJ
903.021120. 11010 v
7'34.82
1058 ~ 5. 538.80
395.691124. 72161 '371. 94497 '0648.48542.65586.50199.37
'18.71
281. 37.243 F 50342 ~ 81205vOZ171.72335.83342.89171.79187.18176. 86177 F 82372.64195v621'77.54 .215.77657.90639.641265. 8745.32
CURRENTSFACTZ
1. 00001. 64'281 ~ 64281. 00001. 00001;00001.00001.00001.0000$ .00001. 00001.00001 F 00001.00001.00001.00001.'00001.00001.0000.1.00001.0000l. 54431. 64431.00001.00001 ~ 64281. 64281.00002, 15272. 15271.00001 F 00001. 2460.l. 24601.2460
CURRENTSFACTJ
1. 00001 ~ 6428l. 64281 F 00001.00001.00001 ~ 00001. 0000
'.00001.0000lv00001.00001.00001. 00001.00001.00001. 00001. 00001. 00001.00001.00001.64431.64431.0000Iv0000l. 64281 ~ 64281. 00002. 15272.15271.00001.00001.24601.24601.2460
HINZHUH VALUESELEM
22.49346
22.4931
1.00001
1.0000
VALUES65
VALUE 2161. 662 87
2151. 6 2.152787
2.1527
ALL CURRENT ANSYS DATA WRITTEN TO FILE NAHEe rwcu.dbFOR POSSIBLB RESUME FROM TMZS POINT
EXIT THE ANSYS POST1 DATABASE PROCESSOR
"~~ ~ ROUTINE COMPLETED ~~~~e CP ~ 2.758
~ ~ ~ "~ END OF INPUT ENCOUNTERED
v
PURGE ALL SOLUTION AND POST DATASAVE ALL MODEL DATA
ALL CURRENT ANSYS DATA WRITTEN TO FILE NAMEe ~u.dhFOR POSSIBLE RESUME FRO'M THIS POINT
NUMBER OF WARNING MESSAGES ENCOUNTERED+NUMBER OF ERROR MESSAGES ENCOUNTERED~
ANSYS RUN COHPLETED
PELEASB 5.3
CP TIME (sec)PLAPSBD TINE (sec)
UP071096
2.7885.000
SOLARZS
TIME a 09: 21': 30DATE ~ 08/08/97
CALC. NO. ~/4-~~- moPage
Rev.
8 11-1997 3:81PM FRCN h<PR ASSPCIATES INC 783 519 8224 P. i<1
v~lMPRASSOCIATES INC.
E N G I t4 E E IT S
CALO. NO. l4->~—~oio Page 7~
Rev. 0
Appendix B
MPR Caiculation 085-295-04
MPR-1854Revision 0
8 1 l t 997 I I '2 ~ F~OM lviPR ASSOCIATES INC 7@3 ~19 8224 P.2
CALCULATIONTITLE PAGE
MPR Associates, inc.320 King StreetAlexandria, VA 22314
Client Niagara Mohawk Power Corporation Page1 of 4
Project NMP-1 RWCU Line Crack - Code Case N-504 EvaluationTask No.
085-295
Preparer/Date Checker/Date Reviewer/Approver/Date
Evaluation of Effects of Stress Due to Weld Overlay ShrinkageCalculation No.
085-295-04
Rev. No.
/ z. ">rur-.'--)'j>rl
8/»/9P
8. c-.r,.„.( P. ~.7~4
QUALITYASSURANCE DOCUMENT
This document has been prepared, checked, and reviewed in accordance with the Quality Assurancerequirements 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
RECORD OF REVISIONS
MPR Associates, Inc.320 King StreetAlexandria, VA 22314
Calculation No.
085-295-04
Checked ByPage 2
Revision Description
InitialIssue
CALO NO'/+ -rz woIDPage 7
„8-11-1997 11:24AM FROM MPR ASSOCIATES INC 783 519 8224 P. 4
MMPR MPR Associates, inc.320 King StreetAlexandria, VA 22314
Calculation No.
085-295-04
Checked By~ cg~~ Page 3
1.0 PURPOSE
The purpose of this calculation is to evaluate the effects of stress, due to weld overlayshrinkage 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 anchormovement of 45,000 psi.
3.0 APPROACH
ASME Code Case N-504 (Reference 1) requires that the effect of weld overlay shrinkageon the other components in the system be evaluated. Specifically, the stresses in the systemdue 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 eitherANSI 831.1 1986, or ASME BEcPV Section III1980 (Reference 2). This evaluation isperformed in accordance with Subsection NC-3600 of the ASME Code.
The ASME Code requirements for stress analyses considers two types of stresses: Pximaryand 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., thermalor 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 Secondarystresses separately. Subsection NC-3652.3 includes a provision (Equation 12) for evaluatingthe Secondary stress due to a "single nonrepeated anchor movement." SubsectionNC-3652.3 Equation 12 is appxopxiate for evaluating the stresses due to the one-timedisplacement (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 ofEquation 12:
uV>—5 3.0Sz C
CALC. NO; SPage
Rev.
8-11-1997 I 1:25AM FROM MPR ASSOCIATES INC 783 519 8224 P. 5
iLBMPRMPR Associates, inc.320 King StreetAlexandria,.VA 22314
Calculation No..
085-295-04
Pr pared By Checked ByPage, 4
where M~ = resultant moment due to any single nonrepeated anchor movement, in-lbZ = section modulus, ins
i = stress intensification factorS, = 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 SA106Grade 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 weld33-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 3Austenitic 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 toWeld 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
riiMPR6 N C I N I 8 R S
page~7
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
RMPR MPR Associates, inc.320 King StreetAlexandria, VA 22314
'CALCULATlONTiTLE PAGE
ClientNiagara Mohawk Power Corporation Page 1 of 16
Project
Title
NMP-1 RWCU Line Crack - Code Case N-504 Evaluation
Calculation of Flaw Growth Due to Fatigue
Task No.
085-295
Calculation No.
085-295.05,
Preparer/Date
~~t+L/' ~/'&l'r3
Checker/Date
~c P~C Slake
Nc7e (
Reviewer/Approver/Date Rev. No.
QUAI.ITYASSURANCE DOCUMENT
This document has been prepared, checked, and reviewed in accordance with the QualityAssurance'equirements
of 10CFR50 Appendix 8, as specified in the MPR Quality Assurance Manual.
CALC. NO.Page 7+
Rev.
8-11-1997 3:82PM FROM htPR ASSOCIATES INC 783 619 8224
RMPRRECORD OF REVtStONS
MPR Associates, Inc.320 King StreetAlexandria, VA 22314
Calculation No.
085-295-05
Revision
Prepared By . Checked Sy
~ C y ~@~Op
Description
Page 2
Initial Issue
CALC; NO.Page 7>
Rev.
,8-11-1997 3:82PM FROM MPR ASSOOIATES tNC 783 ~19 8224
MMPR ~ MPR Associates, inc.320 King StreetAlexandria, VA 22314
Calculation No.
085-295-05
Checked By
Zcr Z'age 3
1.0 PURPOSE
The puxpose of this calculation is to perform a flaw growth analysis for fatigue for anassumed flaw in the overlay at weld 33-BV-22, in accordance with the. method of ASMEBoiler 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 overlaythickness 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 StressCorrosion Cracking (SCC). The delta ferrite content of the weld overlay (308L or 309L) isat 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 issusceptible to SCC. This evaluation therefore assumes that the first weld pass (minimum1/16 inch thick) is cracked 1/16 inch deep, 360'round its circumference, at the start of thisevaluation. A fatigue flaw evaluation, in accordance with Appendix C ofASMB88cPV.Code Section XI (Reference 5), is performed for the r'emaining 4/16 inch thickness of theoverlay (which is not susceptible to SCC). Note that this evaluation considers thc 5/16 inchweld overlay to. be the only load carrying poxtion of thc weld overlaid pipe, i.e., nostructural cxedit is taken for the pipe.
3.1 DiscussionI
Paragraph C-3210 of ASME BEcPV Code Section XI,Appendix C states that fatigue fiawgrowth in austenitic piping can be characterized in terms of the range of applied stressintensity factor, dKr. This characteristic is of the form:
—=<.(~r)"da
dN
where da/dN is the increase in flaw depth-per cycle, n and C, are constants dependent on
F
CALC. No. S/ -~~- r+d~oPage~>
Rev.
lu
, 8-11-1997 3:83PM FROM MPR ASSOCIATES INC 783 519 8224 P. 19
/LlMPRMPR Associates, Inc.320 King StreetAlexandria, VA 22314
Calculation No.
085-295-05
Prepared By Checked By
v c~ypage 4
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) appliedat the flaw location, M'nd iVb, axe unitless correction factors for membrane and bendingstress, respectively, and Q is the flaw shape parameter. M„and Mb are dependent on theratio of fiaw depth to the section thickness and the flaw aspect ratio (thc ratio of flaw depthto 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 flawand 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 flawgrowth study is perfoxmed as follows:
r
The number of fatigue cycles is determined. Based on past experience, NMP-1willlikelyexperience no more than five startups and shut downs per year. Foxconservatism, the original design assumption of seven such startup/shutdowncycles 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. Eachstartup/shutdown cycle includes a change in the RWCU system pressure from0 psi to the system design pressure of 1300 psi (per Reference 3), and a change inthe system temperature from 70'F to the worst case (highest stress) hottemperature.
The thermal loading condition considered in Reference 6 that results in thelargest 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 andoverturning moments occur at the weld overlay when all piping (including thedischarge line from the Aux. Cleanup pump) in the system is at 370'F. Thedirections (signs) of the axial force and overturning moments due to the thermalloading conditions are the same foi all thermal loading conditions (Reference 6).It is therefore appropriate to define the thermal cycle stress range as the
CALC. NO; ~i~-»-~'~o Page~Rev.
8-11-1997 3:84PM FROM MPR ASSQCIATES INC 783 519 8224
R~MPRMPR Associates, inc.320 King StreetAlexandria, VA 22314
Calculation No.
085-295-05
Prepped By Checked ByPage 5
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, fullseismic cycles axe considered and applied via superposition to the final thexmalcycle. 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 tothe seismic axial force and overturning moments (which axe unsigned, i,e., varyfrom negative to positive) are obtained from Reference 2. These stresses aredoubled 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 tothe first of the ten seismic cycles is superimposed on the thermal/pressure cycle4154 stress, but that the remaining nine seismic cycle stresses are assumed tooccur during the final thexmal/pressure cycle, i.e., the total stress does not returnto zero between seismic cycles.
If
The maximum range of stress intensity factor, dK„associated with each transientwillbe determined using the formula above. Values for membrane and bendingstresses for the startup/shutdown cycles, and for the seismic cycles, are calculatedfrom the forces and moments shown in Reference 2. Membxane stresses forpressure loading are determined using a„I=I',/4 t„.
The initialflaw is assumed to be a fullcircumferential surface flawwith a depthequal to the. thickness of the Qrst pass of the weld overlay (0.06%"). Theincremental flaw growth da/dN corresponding to dK, for each cycle is thendetermined: The flaw depth a is updated and the process repeated for each latercycle, 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 M„and M, and flaw shape parameter Q are considered tobe constant at bounding values for each cycle (i.e., they are set at boundingconstant values which do not vary with fiaw depth or length).
The overall section bending stress is added absolutely with the anal membranestress, 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
~A~MPRMPR Associates, inc.320 King StreetAlexandria, VA 2231 4
Calculation Ho.
085-295-05
Checked Byg(~ Page 6
This is conservative because the membrane correction factor M is greater thanthe bending correction factor M~ for all ranges of flaw size and length. Further,this is appropriate because the thxoughwall bending stresses due to the momentsapplied to the pipe are small in comparison to the peak axial stress on the wall dueto these moments,
Constants n and C, are obtained from the most bounding cases shown in FigureA-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 xeactorenvironment surface flaws in Section XI. This provides a worst case fiaw growthrate for stainless steel, which exhibits less crack growth per cycle than does thematerial shown in Figure A-4300-1 ofSection XI.
4.0 CALCULATION
4.1 Initial Conditions
Flaw DepthFlaw LengthOverlay ThicknessOvexlay ODSection ModulusCross-Sectional Area
a = 0.0625 inchesL = 20.8 inches. (m6.625")(assumed 360'round pipe OD)t„= 0;313 inches (Ref. 4)D, = 7.25 inchesZ = 11.33 inA = 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(1s
P. 22
MMPR MPR Associates, inc.320 King StreetAlexandria, VA 223t4
CalculationNo.'85-295-05
Prepared By Checked By
4C/~ r Cs
Page 7
S D T~hllAxial Force (FY Direction)Cross Sectional AreaAxial Stress'(F / A)
Bending Moment (SRSS of Mx and MZ)Section ModulusBending Stress (12 M/Z)
= 1562 lbs= 6.81 in'.= 229 psi
~ ——8493 ft-lbs11.33 ln
= 8995 psi
Total Thexmal Membxane + Bending Stress'
9224 psi
S* D ~Di llAxialForce (FY Direction)Cxoss Sectional AreaAxial Stxess (F/A)
= 357 lbs= 6.81 in'
52psi
Bending Moment (SRSS of Mx and MZ) = 1185 ft-lbsSection Modulus = 11.33 lnBending Stress (12 M/ Z) = 1255 psi
.Total Seismic Membrane + Bending Stress = 1307 psi2 XTotal 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- «ohioPage
Rev.
4 ~
8-11-1997 3:GSPM FROM MPR ASSQQtATES INC 783 519 8224 P. 23
tAMPR MPR Associates, Inc.320 King StreetAlexandria, VA 22314
Calculation No.
085-295-05
Prepar d By
~~/zCc~—Checked By
Page 8
4.3 C cl Stress Definition
Adiagram of the cycling process is shown in Figure 1.
For the first 253 of the assumed 154 startup and shutdown cycles, the alternating stress willbe the combined pressure plus thermal stress of 16752 psi.
For the last startup cycle, numbex 154, the first half of the cycle willinclude the fixst seismiccycle 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 andpressure loading, so the stress range for these cycles is just the seismic stress range of2614 psi.
The flaw size followingeach 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 flawdepth 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 parametersare 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
Page ~3NO 3 I 4 33 rgoio--
Rev.
, 8-11-1997 3:891'M FRCN W R <SSOCt>TES INC 783 519 822~
WMPR MPR Associates, Inc.320 King StreetAlexandria, VA 22314
Calculation No.
085-295-05
Checked SyPage 9
For a Stress Ratio of 0.81, and Flaw Length to Pipe Circumference Ratio of 1.0, theallowable 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.
8
NMPC Work Order No. 97-02246-02, Detailed Workplan, page 9, step 2.1.
NUREG-0313, Revision 2, Technical Repoxt on Material Selection andPxocessing Guidelines for BWR Coolant Pressure Boundary Piping-FinalReport," published January 1988.
Page~~
Rev. 0
, 8-11-1997 3:86PM FROM MPR ASSOC(ATES INC 7@3 519 @224 P. 25
iirMII MPR AssocIates, Inc.320 King StreetAlexandria, VA 22314
Calculation No.
085-295-05
Checked ByPage 10
CALC. NO.Page -7Rev.
Calculation No. 085-295-05
Flaw Size Tncremettt for Each Cycle
cnI
I
cotO
CycleNumber
Flaw Size atStart of Cycle (inch)Depth Length
Correction Factors
(unitless)Mm "Mb
Applied Stresses
(Rsi)
Membrane Ilending
Delta K(Icsi-
rootinch)
da/dN(inch
per cycle)
End of CycleFlaw Depth
(inch)
lCO
0
I
DD
33 0CD Dl
CQ~ cD
InitialI2
.3
56
78
9
IO
12
13
14
15
16
17
-1$19
2021
2223
24
25
2627
2$
29
0.062S00
0.062540
0.0625800.0626200.062661
0.062701
0.062741
0.0627 S2
0.0628230.062863
0.0629040.062945
0.0629860.063027
0.063068
0.0631090.0631500.063191
0.063233
0.063274
0.063316
0.063357
0.0633990.063441
0.063483
0.063525
0.063567
0.063609
0.063651
0.063693
22.$
22.8
22.822.8
22.8
22.$2? S
22.822.822.822.S
22.S
22.$22.S
22.8
22.8
22.8
22.8
22.8~ 22.8
22.8
22.8
22.822.8
22.8
22.8
22.8
22.8
1.5
1.5
1.5
1.5
1.5
15151515
15151515151515151.5
1.5
1.5
1.5
1.5
1.5
1.5
1.5
1.5
1515
0.80.$
0.$0.80.80.$0.80.8
0.80.80.80.80.80.80.80.80.80.80.80.80.8
0.8
0.8
0.8
0.8
0.8
0.8
0.&
0.8
0.8
16.8
16.8
16,8
16.8
16.$
16.8
16.8
16.8
16.8
16.8
16.8
16.8
16.4
16.8
16.8
16.8
16.$
16.$
16.8
16.$
16.8
16.$
16.$
16.$
16.$
16.8
16.$
16.$
16.$
16.$
12.484S
I2.488512.4925
12.4965
12.5005
12.5045
12.5086
12.S 126
12.5 167.
12.5207
12.5248
12528812.5329
12537012541112545112549212.5533
125S75
12561612565712569812.5740
125781
I? SS23
12.5864
12.5906
12.5947
V 5989
12.6031
0.000040
0.0000400.0000400.0000400.0000400.0000400.000041
0.000041
0.000041
0.000041
0.000041
0.0000410.000041
0.0000410.000041
"
0.000041
0.000041
0.000041
0.000041.0.0000420.0000420.000042
0.000042
0.000042
0.000042
0.000042
0.000042
0.000042
0.000042
0.000042
0.062540
0.0625800.0626200.062661
0.062701
0.062741
0.0627820.062823
0.0628630.062904
0.062945
0.0629860.0630270.0630680.063109
0.0631500.063 I91
0.0632330.0632740.0633160.063357
0.063399
0.063441
0.063483
0.063525
0.063567
0.063609
0.063651
0.063693
0.063736
OO
m
IQ
be
Page ~(
CycleNumber
Raw Size atShrt uf Cycle (loch)Depth 'Length
Correction Factors(unitless)
Mm Mb
Applied Stresses
(icsi)
Membrane Bending
Calculation No. 0$5-295-05
Delta K(ksi-
rootinch)
da/dN(inch
per cycle)
End of CycleFlaw Depth
(inch)
etn
I
I
io
OI
CO
G
33 DCbC CQ
CD
30
31
3233
34
35
36
37
38
39
4041
4243
44
45'46
47
48
49
50
51
52
5354
55
56
57
58
59
60
61
0.063736
0.063778
0.063821
0.063863
0.063906
0.063949
0.0639920.064035
0.064078
0.064 121
0.064164
0.064207
0.064251
0.064294
0.064338
0.064381
0.064425
0.0644690.0645130.064557
0.064601
O.Q64 645
0.064689
0.064734
0.064778
0.064823
0.064868
0.0649120.064957
0.065002
0.065047
O.t)65092
22.8
22.822.8
22.8- 22.8
22.822.8
22.$22.822.$22.S
22.$22.8
22.S
22.822.8-22.8
22.S
2? 8
22.S
22.S
22.$
22.8
22.$
22.82o 8
LS151.5
151.5
131$ld1.5
131.5
1.5
1.5
1.5
1.5
.1.5
1.5
1.5
1.5
1.5
ld1.5
131.3
I.S1.5
1.5
1.5
1.5
1.5
1.5
1.5
0.8
Q.8
0.8
0.8
0.80.$0.$0.80.80.80.80.80.80.80.80.80.80.$0.80.80.80.80.80.80.80.8
0.8
0.80.8
0.80.8
0.8
16.8
16.$
16.8
16.$
16.8
16.8
16.8
16.816.8
'6.8
16.8
16.8
16.8
16.8
16.$
16.8
16.$16.$
16.$
16.8
16.$
16.8
16.8
16.8
16.8
16.8
16.8
l6.816.8
16.S
16.$
16.$
12.6073
12.6115
12.6157
12.6199
12.6241
12.6284
12.632612.6368
12.6411
12.6453
12.649612.6539
12.6581
12.662412.6667
12.6710
.12.6753 .
'2.679612.683912.6$ S3
12.6926
12.6969
12.701312.7056
12.7100
12.7144
12.7187
12.7231
12.7275
12.7319
l2.736312.7407
0.000042
0.000043
0.000043
0.000043
0.0000430.000043
0.0000430.0000430.0000430.0000430.000043O.OOQ043
0.0000430.0000440.0000440.000044O.OOOO44
0.000044
0.0000440.0000440.0000440.0000440.0000440.000044
O.OOO045
0.000045
0.000045
0.000045
0.000045Q.I$0045
0.000045
0.000045
0.063778
0.0638?. 1
0.063863
0.063906
0.063949
0.0639920.064035
0.0640780.064121
O.Q64164
0.0642070.064251
0.0642940.06433 S
0.0643&1
0.064425.0.0644690.0645130.0645570.0646010.0646450.0646890.064734
0.064778
0.064823
0.064 S68
0.064912
0.064957
0.065002
0.065047
0.0650920.065137
g vj
OO
lPlto
Zn6)tdUl
t0
GIVlV
Page I 7.
CycleNumber
Flaw Siae atStart of Cycle (inch) . ~
Depth Length
Calculation No. 085-295-05
Correction Factors(unitless)
Mrn . Mb
Applied Stresses
(ksi)
Q Membrane Sending
Delta K(ksi-
root inch).
da/dN(inch
per cycle)
End of CycleFlaw Depth
(inch)
RI
I
U)
"62
63
64
65
66
67~ 68
69
7071
7273
74757677
7S
7980
81
82
83
84
85
$6
87
SS
89
90
91
92
93
0.065137
0.065183
0.06522$
0.065273
0.0653190.0653650.065410
0.0654560.0655020.065548
0.0655940.065641
0.065687
0.0657330.0657800.065827
.0.0658730.0659200.0659670.066014
0.066061
0.0661080.0661560.066203
Q.Q66251
0.066298
0.066346
0.0663940.066442
0.066490
0.066538
0.066586
22.8
22322.8
22.$22.$22.$22.$22.S
22.$
22.822.822.822.8
22.822.822.8
22.8
22.822.S
22.$22.$22.$
22.$~D.S
~%.8
22.8
22.8
22.8
22.8
22.$
151513'3
1.5'.5
1.5
1.5
1.5
1.5
1.5
1.5
151513ld13131.5
1.5
1.5
l.5'.51.5
1.5
1.5
1.5
131.5
1.5
1.5
1.5
0.$0.$0.$0.$ ,
0.80.8
0.80.8
0.80.80.80.80.80.$0.$0.$0.80.80.80.80.8
0.80.8
0.8
0.8
0.$0.$0.$0.80.$0.$0.$
16.$
16.8
16.8
16.8
16.S
16.8
16.8
16.8
16.8
16.&
16.8
16.$
16.$
16.$
16.8
16.$
16.$
16.8
16.8
16.8
16.8
16.8
16.8
16.8
16.8
16.$
16.$
16.$
16.$
16.S
16.$
16.$
12.7452
12.7496
12.7540
12.7585
12.7629'2.7674
12.7719
12.7763
12.7808
12.7853
12.7898
12.7943
12.7988
12.803412.$ 07912.S124
12.S 170
12.821512.8261
12.$ 307
12.S352
12.8398
12.8444
12.8490
12.8536
12.8583
12.8629
12.8675
12.8722
12.$76812.$ 8 l512.8&61
0.000045 .
0.000045
0.000045
0.0000460.000046
0.0000460.0000460.0000460.0000460.0000460.000046
0.0000460.000046
0.0000470.0000470.000047
0.000047'.000047
0.0000470.000047
O.QQQQ47
0.0000470.0000470.000048
0.000Q48
0.000048
0.000048
0.000048
0.000048
0.000l)48
0.000048
0.000048
0.065183
0.06522$
0.065273
0.065319
0.065365
0.0654100.0654560.0655020.065548
0.0655940.065641
0.0656870.065733
0.0657800.0658270.065 S73
0.0659200.0659670.066014O.Q66061
0.06610S
0.0661560.0662030.066251
0.066298
0.066346
0.066394
0.066442
O.o66490
0.0665380.066586
0.066635
00l>
mU)
Z0l94)
Ql
tO
IQIV
Calculation No. 085-295-05
CycleNumber
Flaw Size atStart of Cycle (inch)Depth Length
Correction Factors(unitless)
Mtn Mb
Applied Stresses
(ksi)Membrane Bending
Delta K(ksi-
root inch)
da/dN(inch
per cycle)
End of CycleFlaw Depth
(inch)
94
95
96
97
98
99100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
11$
119
120
121
122
123
124
125
0.066635
0.066683
0.066/320.066780
0.066829
0.066878
0.066927
0.066976
0.067025
0.067075
0.067124
0.061174
0.067223
0.067273
0.0673230.0673730.067423
0.067473
0.0675230.067574
0.067624
0.067675
0.067726
0.067776
0.067$ 27
0.067878
0.067930
0.067981
0.068Q32
0.068084
0.068136
0.068187
22.8'22.822.8
22.8
22.8
22.8
22.$22.822.$
22.$22.$22.822.$22.$22.$ .
22.$22.S
22.822.822.822.8
22.8
22.822.8
22.8
22.822.$
22.$22.822.$
22.$
IdIdld-1.5
ID1.5
1.5
1.5
I.S1.5
1.5
1.5
1.5
1.5
1.5
1.5
. 1.5
1.5
Id1.5
1.5
ld'.51.5
1.5
1.5
1.5
1.5
1.5
1.5
1.5
0.8
0.$
0.80.80.80.$
O.S
0.80.80.$0.80.$0.80.8
0.80.80.8
0.80.80.80.80.80.80.$0.$
0.80.$0.8
O.S
0.$
0.$0.8
16.$
16.8
16.8
16.8
16.$
16.$
16.8
16.8
16.8
16.8
16.8
16.S
16.8
16.8~ 16.8
16.8'6.8
16.8
16.8
16:8
16.8
16.8
16.$
16.$
16.$
16.S
16.$
16.$
16.$
16.$
16.$
16.$
12.890$
12.$ 955
12.9002
12.9049
12.9096
12.9143
12.9191
12.9238
12.9285
12.9333
12.9381
12.9428
12.947612.9524
12.9572
12.9620
12.9668" .12.9117
12.9765
12.9813
12.9862
12.9910
12.9959
13.0008
13.0057
13.0106
13.0155
13.0204
13.0253
13.0303
13.0352
13.0401
0.000048
0.0000490.0000490.000049
0.000049
0.0000490.0000490.0000490.0000490.0000490.0000500.0000500.0000500.0000500.0000500.0000500.0000500.0000500.0000500.000051
0.000051
0.0000510.000051
0.000051
0.000051
0.000051
0.000051
0.0000510.000052
0.000052O.Q00052
0.000052
0.066683
0.066732,
0.0667SO
0.0668290.066878
0.0669270.0669760.0670250.067075
0.0671240.067174
0.0672230.0672130.0673230.067373
0.0674230.0614730.0675230.0675740.0676240.067675
0.0671260.067776
0.067827
0.067878
0.0679300.067981
0.0680320.068084
0.068136
0.06S 187
0.068239
I
Page Q
Calcuhtion No. 085-295-05
CycleNumber
Fhw Size atStart ofCyme (inch)Depth Length
Correction Factors(nnitless)
~ Mb
Applied Stresses
(ksl)
Q . Membrane ilendlng
Delta K(ksi-
root inch)
da/dN(inch
per cycle)
End of CycleFlaw Depth
(inch)
126
127
128
129
130
131
132
133
134
135
136
137.138
139
140
141
142
143
144
145
146
147
14$
149
150
151
152
153
154
155
156
157
0.068239
0.068291
0.068343
0.068396
0.068448
0.06SSQQ
0.068553
0.0686060.0686590.068712
0.0687650.068818
0.0688710.068925
0.0689780.069032
0.069086
0.0691400.069194
0.0692480.069302.
0.0693570.069411
0.069466
0.069521
0.069576
0.069631
0.069686
0.069742
0.069872
0.069872
0.069872
2? 8
22.$
22.8
22.S
22.8
22.8
22.822.822.822.822.822.822.822.8
22.822.$22.S
22.822.8
22.$
22.$22.S
22.$
22.8
22.8
22.8
22.$
22.$
22.$~D.S
22.$
1.5
1.5
1.5
15- 1.5
15151515151.5
1.5
1.5
1.5
1.5
1.5
1,5
151.5
1.5
1.5
1.5'.5
1.5
1.5
1.5
1.5
1.5
151.5
1.5
1.5
0.8
0.8
0.8
0.$
0.80.$0.8
0.$0.8
0.80.80.80.8 .
0.80.80.80.$0.8
0.80.80.80.8
0.80.$
0.$
0.8
0.$0.8
0.8
0.80.8
0.8
16.$
i6.816.8
16.$
16.8
16.8
16.8
16.8
16.8
16.$
16.8
16.8
16.$
16.$
16.8
16.8
16.8
16.8
16.$
16;8
16.8-16.$
. '6.$16.8
16.$
16.8
16.8
16.8
19.4
2.61
2.61
2.61
13.0451
13.0501
13.0551
13.0600
13.0650
13.0701
13.0751
13.0801
13.0SSI
13.0902
13.095213.1Q03
13.105413.1105
13.115613.1207
13.1258
13.1309
13.1360
13.141213.1463
13.1515
13.1567
13.1619
13.1671
13.1723
13.1775
13.1827
15.2289
2.05082.05082.0508
0.000052
0.000052
0.000052
0.0000520.000052
0.0000530.0000530.000053
0.0000530.0000530.000053
0.0000530.0000530.000054
0.0000540.000054O.OQQOS4
0.0000540.000054
0.0000540.0000540.000055
0.000055
0.000QSS
0.000055
0.000QSS
0.000055
0.000055
0.000131
0.000000
0.000000
0.000000
0.068291
0;0683430.0683960 068448
O.Q68500
0.0685530.0686060.0686590.0687120.06S765
0.068S 1$
0.068871
0.068925
0.0689780.0690320.0690860.0691400.0691940.0692480.0693020.0693570.069411
0.0694660.069521
0.069576
0.069631
0.069686
0.069742
0.069872
0.069872
0.069872
0.069S72
XI
MM00
lPlU)
Patte ~~
CalculaIIon No. 085-295-05
CycleNumber
Flaw Size atStar t ofCycle (inch)
, Depth Length
Correction Factors
(uui tless)
Mm . Mb
Applied Stresses
(hd),Membrane Bending
Delta K(ksi ~
rootinch)
da/dN End of Cycle(hIch Flaw Depth
per cycle) - (inch)
158
159
160
161
162
163
0.069872 22.8
0.069872 22.8
0.069 B72 22.8
0.069872 22.&
0.069872 22.S
0.069872 22.8
, 1.5
1.5
1.5
15
13'3
'0.8
0.8
0.8
0.8
0.8
0.8
2.61
2.61
2.612.61.
2.61
2.61
2.0508
2.0508
2.050 S
2.0508
2.0508
2.0508
O.OX000
0.000000
0.000000
0.00X000.000000
0.000000
0.069872
0.069872
0.0698720.0698720.069872
0.069872
Final Slaw Depth: 0.069872 inches
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