ML20214Q998
| ML20214Q998 | |
| Person / Time | |
|---|---|
| Site: | Fort Saint Vrain  |
| Issue date: | 05/31/1987 |
| From: | Almajan I GENERAL ATOMICS (FORMERLY GA TECHNOLOGIES, INC./GENER |
| To: | |
| Shared Package | |
| ML20214Q991 | List: |
| References | |
| 909438, TAC-63576, NUDOCS 8706050290 | |
| Download: ML20214Q998 (674) | |
Text
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SUMMARY
TITLE O R&0 VERIFICATION REPORT FOR THE g g APPROVAL LEVEL 2 BUCKLE COMPUTER PROGRAll O DESIGN
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DISCIPLINE SYSTEM 00C. TYPE PROJECT DOCUMENT NO. ISSUE N0dLTR. M 01 RGE 1900 909438 N/C QUALITY ASSURANCE LEVEL SAFETY CLASSIFICATION SEISMIC CATEGORY ELECTRICAL CLASSIFICATION Q1 FSVI FSVI NA APPROVAL ISSUE ISSUE DATE PREPARED FUNDING APPLICABLE DESCRIPTION / ENGINEERING QA CWBS NO. PROJECT PROJECT YJ N/C g y 3 3 jgg7 I.T. C.P. Initial Release Almajan Conn rs 2970503/9032300
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f ( CONTINUE ON GA FORM 14851 N EXT INDENTU R ED DOCUMENTS Issue Summary 1 1 - 111 3 N6082 / 2- 14 13 905982 Appendix A Al-A 20 20 Appendix B B1-B 332 332 Appendix C Cl-C 17 17 Appendix D Dl-D 286 286 Total 672 p GA PROPRIETARY INFORMATION THIS DOCUMENT IS THE PROPERTY OF G A TECHNOLOGIES INC. ANY TRANSMITTAL OF THIS DOCUMENT OUTSIDE G A WILL BE IN CONFIDENCE. EXCEPT WITH THE WRITTEN CONSENT OF GA,(1) THIS DOCUMENT MAY NOT BE COPIED IN WHOLE OR IN PART AND WILL BE RETURNED UPON REQUEST OR WHEN NO LONGER NEEDED BY RECIPIENT AND (2)INFORMATION CONTAINED HEREIN MAY NOT BE COMMUNICATED TO OTHERS AND MAY BE USED BY RECIPIENT ONLY FOR THE PURPOSE FOR WHICH IT WAS TRANSMITTED. NO G A PROPRIETARY INFORMATION JO - 7803 COXWL 000. 38 PAGE 1 0F 67-8706050290 870529 ' DR ADOCK0500g7
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909438 N/C VERIFICATION REPORT FOR THE BUCKLE COMPUTER PROGRAM J J By I. T. Almajan i i MAY 1987 l l l i l l l I
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909438 N/C ABSTRACT This report was produced to verify the accuracy and to document the capabilities of the BUCKLE computer code, as was used in the PSC-FSV EES Firewater Cooldown Analysis. A set of two example problems are solved using the MARC General Purpose Finite Element Program and :he results are compared with those computed by BUCKLE. These problems exercise a limited number of the BUCKLE program featuress however, they cover more features than were used in the PSC-FSV Reheat Tube Bundle Creep Analysis during EES firewater cooldown analyses. The theoretical and user's manual for the BUCKLE code is GA Document 909410 NC. l l l 11 J
i 909438 N/C f 1 i CONTENTS r
, ABSTRACT . . . . . . . . . . . . ................. 11
- 1. INTRODUCTION AND CONCLUSIONS . . ............... 2
- 2. TEST CASES . . . . . . . . . ................. 3 j 2.1. Model . . . . . . . . ................. 3 2.2. External Pressure, Thermal Load, and Results ...... 4
- 3. REFERENCES . . . . . . . . . ................. 6 APPENDIX A I
APPENDIX B: APPENDIX C: i APPENDIX D: 'I FIGURES
- 1. Tube geometry for BUCKLE analysis .............. 8 1
l 2. Tube model for BUCKLE analysis ...... ........ 9
- 3. Tube geometry for MARC analysis . ...... ....... 10
] 4. Elements and nodes for MARC analysis ............ 11 [ 5. Boundary conditions and loads for MARC analysis . ...... 12 i j 6. Test case 1 - radial displacement .............. 13
; 7. Test case 2 - radial displacement .............. 14 I
i i l I i ) 1 t 111 l I
909438 N/C l
- 1. INTRODUCTION AND CONCLUSIONS The purpose of this report is to verify the applicability and accuracy of the BUCKLE code as used in the PSC-FSV EES cooldowns for EQ and Appendix R events (Ref. 1). This code verification satisfies the requirements of 10CFR50 Appendix B Criterion III. The BUCKLE code solves for the creep collapse time of an externally pressurized cylinder (tube). This also includes thermal gradients through the wall and around the circumference. Specifically, the BUCKLE Code was used to predict creep collapse time for the reheater tubes which are uncooled and externally pressurized.
Toward this end, a well-established and documented code " MARC-General Purpose Finite Element Program" (Ref. 2) - has been chosen as the verification tool. A previous version of the BUCKLE code was verified also, using the MARC-General Purpose Finite Element Code as a comparison (Ref. 3). A set of two sample problems (Ref. 4) consisting of a long i cylindrical shell, subjected to external pressure, and constant temperature or radial linear temperature gradient have been considered. The results of the creep analysis obtained from the BUCKLE code for both sample problems show consistent conservative results in computing the time-dependent radial displacement (see Figs. 6 and 7) and circumferential stress (see Appendices A, B, C, and D). Therefore, the BUCKLE minimum collapse time is conservative when compared to the values generated by the MARC code. HARC is a finite element program including secondary effects and is thus more accurate. 2
909438 N/C The integration of equations of equilibrium in the BUCKLE code requires a set of simplifications which consist of ignoring the initial global shortening of the circle due to the uniform pressure and the l assumption of a displacement field which does not include secondary terms. l The net effect of these simplifications is a relative softening of the stiffness representing the cylindrical shell under external pres-sure, and therefore larger magnitudes of the radial displacement and circumferential (hoop) stress and shorter creep collapse time than the similar values generated by MARC, or experienced in the real physical situation.
/
In the MARC code the initial displacement due to uniform external pressure is tsken into account and the displacement field includes the secondary terms. Therefore, the results obtained from MARC analysis are more accurate. i From an economic point of view " MARC" is a more expensive (10 times j more expensive than BUCKLE) method to analyze the stability of the l cylindrical structures under creep phenomena. The BUCKLE code offers a simple, conservative, and yet a relative inexpensive alternative to assess the status of structural stability of the long cylindrical shells subjected to external pressure and thermal j gradients. 1
- 2. TEST CASES I 2.1. MODEL
- The mathematical model under consideration is a circular cylindrical shell with a slight ellipticity (see Ref. 4 Example B) (an ;
- oval tube).
l l l l l i
909438 N/C The model for the BUCKLE code is shown in Figs. I and 2 (these are the same as Figs. 2 and 3 of Ref. 5) and the model for the MARC code is shown in Fig. 3 of this document. MARC, being a finite element code, requires a much more detailed input data (nodes, elements, boundary conditions, etc.) as is shown in Figs. 4 and 5. To capture the shell behavior of the cylindrical structure, the curved shell element type No. 4 (Appendices B and D) and appropriate boundary conditions (see Fig. 5) were selected. In Appendices B and D, the subroutine UFXORD shows the procedure used to generate the initial elliptical curve in MARC. UFXORD is a user-developed subroutine which generates the full coordinate set (14 coordinates per node for curved shell element type No. 4), on the basis of a reduced set of coordinates. The material properties and the creep law for Haste 11oy N (a nickel base alloy) are defined in Ref. 4 Example B, with the provision that the coefficient "n" is equal to 5.04 (Ref. 3). For this type of material the creep behavior is quantified as an exponential curve, as follows: C=Aan , where A = 4.657 x 10-25, n = 5.04 . Complete lists of the model input data for both the BUCKLE and the MARC codes are shown in Appendices A and B respectively for test case 1, and in Appendices C and D respectively for test case 2. 2.2. EXTERNAL PRESSURE, THERMAL LOAD, AND RESULTS In test case 1, the external pressure is set at 45.0 psi and the average temperature of the shell at 1405'F (see Ref.'4, Example B). No W k i 4 l
909438 N/C thermal gradient loads are associated with this case. At time zero, under external pressure of 45.0 psi, the shell, using the BUCKLE code, experiences a compressive axial force of 11.1 lb. To induce in the MARC analysis an axial stress equivalent to applying pressure to the end of a closed cylinder, an axial compressive force of 6.42 lb/in. (11.1 lb total force) at one circumferential boundary and a restriction of motion on axial direction at the other boundary were imposed (as shown in Fig. 5). The maximum radial displacement occurs at station 25 in the BUCKLE code and at node 19 in the MARC code. These are the same physical location. The time histories of the maximum radial displacement for both codes are shown in Fig. 6. For the first 6.0 x 104 h, both codes compute almost identical amplitudes for the radial displacement and the circumferential (hoop) stress in Appendices A and B. As the deformation increases, the effects of secondary terms in the displacement field become more important and the radial deformation com-puted by BUCKLE code at T = 10.0 x 104 h shows an increase of 25% of the value computed by MARC. The BUCKLE code computes a time of 11.8 x 104 h when the circumferential stress reaches the yield stress (40 kai) and the tube is assumed to have collapsed. MARC analysis computations were stopped at time 11.5 x 104 h due to its high computer cost. Since the purpose of the report is to validate the BUCKLE code, no attempt was made to continue the MARC analysis to its conclusion. In the test case 2, the same external pressure of 45.0 psi and com-pressive axial forces of 11.1 lb as was applied in test case 1 have been retained with the addition of a linear radial thermal gradient load.
909438 N/C In Appendix D, the subroutine "CREDE" shows the procedure to gener-ate the thermal gradient. CREDE is a user-developed subroutine which allows the specification of temperature increments at all integration points for each element throughout the model. The time histories for the maximum radial displacement for both BUCKLE and MARC Case 2 are shown in Fig. 7. As expected, the effect of thermal gradient load is to increase the radial displacement and reduce the creep collapse time (see Figs. 6 and 7). For a 20*F radial thermal gradient, the creep collapse time as predicted by BUCKLE is reduced from 11.5 x 104 h (test case 1) to 9.8 x 104 h, a reduction of 15%. As in the test case 1, the radial displacements computed by both the BUCKLE and the MARC codes agree up to the time of 6.0 x 104 h, As stated in the introduction, due to the effects of the secondary terms in the displacement field, the difference between the BUCKLE and the MARC codes become more and more substantial as the radial deformations increase.
- 3. REFERENCES
- 1. Lewis, A. C. and I. T. Almajan, "Effect of Firewater Cooldown Using EES Bundle on Steam Generator Structural Integrity," GA Document 909204/NC, December 4, 1986.
- 2. Marcal, V. P., " MARC General Purpose Finite Element Program," MARC Analysis Corporation, Palo Alto, California, March 1983.
- 3. Krishnan, M., " Creep Buckling Benchmark Test - Status Report," GA Document 905547/3, February 26, 1982.
i i -.
909438 N/C 4 f I 4. Pan, Y. S., " Creep Buckling of Thin-Walled Circular Cylindrical i Shear Subject to Radial Pressure and Thermal Gradients," J. of Applied Mechanics, pp. 206-216 (1971).
- 5. Almajan, I. T. , " BUCKLE User's Manual," GA Document 909410 N/C, April 29, 1987.
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909438 N/C z(1) = 0.4869533H, z(2) = 0.3425317H z(3) = 0.3397048H, z(4) = 0.2166977H z(5) = 0.074431717H, z(6) = -z(5) z(7) = -z(4), z(8) = -z(3) z(9) = -z(2), z(10) = -z(1) NOTES: IN ONE QUADRANT (a) THERE ARE TWENTY FlVE STATIONS ALONG THE CIRCUMFERENTIAL DIRECTION (k) (b) THERE ARE TEN STATIONS ALONG THE RADIAL DIRECTION (c) THERE ARE A TOTAL OF 250 NODAL POINTSIN ONE QUADRANT OF THE TUBE k x
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909438 N/C EXTERNAL PRESSURE P = 45.0 PSI 6.0 - A NODE 25 G A* PROD. BUCKLE /4092 O NODE 19 MARC 5.0 - mi i 2 [ 4.0 - 5 s Es
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5 Y a K 2.0 - 1.0 0.5 - t i I I I I 2.0 4.0 6.0 8.0 10.0 12.0 x 104HRS CREEP TIME TEST CASE 1 - RADIAL DISPLACEMENT FIGURE 6 l
909438 N/C I l 1 4.0 - TEMPERATURE GRADIENT AT = 200F EXTERNAL PRESSURE P = 45.0 PSI > A NODE 25 G A* PRO D. BUCK LE/4092 j O N00E 19 MARC
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.3588+008 .1600+S86 i 1 CREEP COLLAPSE LOADING HISTORY TIME DURATION (HRS) e PRESSURE e TEMPERATURE FROM TO . (PSI) * (DEC. F.)
i ' S.Seeses e 1.e8000e+s18 e 4.Seesee+ eel e 1.406800+s63 e lee PAN EXAMPLE FROM J. OF APPL. MECH. MARCH 1971 N = S.e4 ee
- MEAN RADIUS = .27688e+S88 WALL THICNNESS = . lessee-sel MODULUS OF ELASTICITY = .263688+s88 COEFFICIENT OF EXPANSION = .9918e8-886 POISSON'S RATIO = .380886+s88 YIELD STRESS = .4essee+ess INITIAL OVALITY = .58080s-883 MAXItWM TIME = .168888+s86 MINIMUM TIME STEP = .688ee8-806 CONSTANT RnDIAL DIFF. = .sesses COEFFICIENT A6 = .sesses i
COEFFICIENT A8P = .secess MATERIAL TYPE = 6 PRESSURE S. F. = .30 esse +881 APPLIED AXIAL FORCE = .sessee REQUIRED LIFE = .losese+eso lee PAN EXAMPLE FROM J. OF APPL. MECH. MARCH 1971 N = 5.e4 ee '
! > TIME .secesses DTIME .seessese PRESSURE .46808888+es2 TEMPERATURE .14eSe000+864ICYCLE 1
*~ e K 1 2 3 4 5 e V 8. sees 5.1742-se6 1.8268-896 1.5170-886 1.9828-886 W 7.9265-806 7.8677-806 7.6666-896 7.3223-806 6.8637-886 0.000s e. Sees S. sees e.eSee e sees
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. TAUXX 4 -6.9767+S02 -6.9719,802 -6.9675+ee2 -6.9339+002 -6.9614+s82 1 TAUXX 5 -6.6822+s82 -6.6s06+s82 -6.5968+882 -6.5879+s82 -6.5778+882 TAUXX 6 -6.211e+862 -6.2127+S82 -6.2179+862 -6.2265+882 -6.2383 862 + TAUXX 7 -5.8365+882 -5.8414,882 -5.8562+ee2 -5.8805+002 -5.9139 882 TAUXX 8 -5.514e+s82 -3.5217+882 -5.5447+S82 -5.5826+882 -5.6347+ee2
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-E.3426-set -4.7974-808 -4.1382-008 -3.3923-808 -2.5964-808 TAUYY 1 -1.5963+S83 -1.5697+883 -1.5108+003 -1.4719+883 -1.4222+ee3 TAUYY 2 -1.5584+S83 -1.5264+s83 -1.489e+S83 -1.4481,083 -1.184e+003
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2.9528-806 1.0340-e85 5.7832-815 -1.e348-SGS -2.0628-e86 Z l 8. sees e. sees e. sees e. sees 8.0000 N ! -3.2061-886 -4.1388-896 -0.2897-e14 4.1384-806 S.2861-Se6 O I
-5.1764-804 -2,6106-0e4 -1.9842-812 2.6186-004 6.1764-884 i -1.7568-e08 -S.8667-899 -6.7318-017 8.8667 009 1.7568-908 1
0.0000 e. sees e. sees e.SeGe 8. sees ! -1.7668-se8 -8.8657-8e9 -6.7318-817 8.8557-069 1.7668-008 TAUYY 1 -1.3697+0e3 -1,3163+003 -1.26e8 883 -1.2847+883 -1.1583+es3 TAUYY 2 -1.3574+863 -1.3891+003 -1.2688,983 -1.2109+0e3 -1.1626+s63 TAUYY m-3 -1,3363+ee3 -1.2986+es3 -1.2680 083 -1.2216+963 -1.1837+ee3
+ . , aw a*' -1.2845+ea' ' **** "** * *'re aa2 -1 911 C + #M
. . . _ . - - . - . - _ - - - - . - . . ~ - . _ - . . - . . _ . . . _ . . . - . . _ . - - - __ . - . . - ~ - - - - - . . . . . . - - - - . -- - . . -
l , i r TAUYY E -1.2762 8e3 -1.2682*es3 -1.2888+es3 -1.251S+e83 -1.243e+es3 TAUYY 8 -1.2424 8e3 -1.2511+es3 -1,2640+883 -1.2889+es3 -1.2776+es3 TAUYY 7 -1.21 1+ess -1.234e+ess -1.2888+e83 -1.2852+ess -1.3899+ess I i TAUYY S .-1.1823+ess -1.2280,883 -1.2688+e83 -1.2992+es3 -1.3377,883 TAUYY 9 -1.1413*ess -1.2182 893 -1.280s+es3 -1.30eS+esa -1.3687+S93 TAUYY 18 -1.1489+ess -1.2See+003 -1.2888+e83 -1.318e+esa -1.3711+es3 TAUKX 1 -8.7434 882 -4.5e85+e82 -8.414E+s82 -e.2486+e02 -4.885E+e82 i TAUKX 2 -8.7ese+est -8,541S+402 i
-0.414E+e92 -S.2672+e92 -4.122E+482 j
TAUKX 3 -e.843E+s82 -4.53es+es2 -8.414E+892 -e.2991+es2 -e.1856+882 TAUKX 4 -4.548e+882 -8.4879+892 -4.414E+e92 -4.3412,802 -8.2491+e82
+
TAUXX E -S.4831+est -8.4399+es2 -4.414E+002 -8.3901+S82 -4.3685,e92 i TAUKX 4 -4.3419+e82 -8.3885+892 -4.414E+882 -4.4411+002 -4.4672+482 i TAUKX 7 -4.2849,892 -8.3391+es? -4.414E+e82 -4.490s+eS2 -4.5442+e82 ;
, TAUKX. 8 -4.1815+892 -4.2975+e82 -4.414E+882 -4.5321+882 -S.8478+882 1 TAUKX 9 -e.1183+892 -4.2452+492 -S.414E+882 -4.5439+est .-4.7187+492 i
TAUKX 15 -S. 813+892 -4.2485+s92 -4.414E+S92 5826+S92 -4.7478+S82 s EPSYY 1 8.ses S. eses S. sees -4.. sos S.Sese le e.come e. Sees e. sees e. esse e. esse s EPsxx 1 e. sees e.asse S. sees S. sees e.sese le S.Sese e.sese S. eses S.sese S. Sees lee PAN FmPLE FROM J. OF APPL. ECH. MARCH 1971 N = 5.54 ee TIE .sessesse DTIE .secessee PRESSURE .45808 89+S82 TERFERATURE .14eSeseS+e84ICYCLE
- -e K IS 17 -18 19 2e 1 t
( e V 3.8823-esE 3.4335-886 3.1449-0e6 2.0035-8e5 2.4132-8e5 W -3.e335-895 -3.9828-8e5 -4.8248-805 -E.Se42-SSE -8.2878-805.
- e.eSee e.eees e.eeme S.eees e. sees
? 5.000s e. sees e. sees e.sese S. sees i s. sees e. sees S.Sese e.Sese e. Sees t ! .e.Sese S. sees S. sees S. sees e..See ] -3.8345-8 5 -3.9841-886 -4.8244-e E -E.ee81-Se5 -8.2898-886
- t; e. esse S.ses ... e e.es.S e. see 1.2132-884 1.5851-8s4 1.9299-e84 2.2417-8s4 2.5151-es4 I
7.8537-s94 1. sees-eea 1.2175-883 1.4142-883 1.5887-803 2.5984-est 3.3923-8e8 4.1382-seS 4.7974-808 E.*928-8 8
! 8. Sees e.eems e. sees e.csse S. sees i 2.5984-8e0 3.3923-eeS 4.1302-Set 4.7974-800 E.3428-8 8
- TAUYY 1 -1.e978+883 -1.e481+8e3 -1.SS2S+es3 -9.8 3S+S82 -9.2375+892 i
+ TAUYY 2 -1.114S+893 -1.5719+e.3 -1.e310+es3 -9.9481+s82 -9.415e+est i j TAUYY 3 -1.1472+483 -1.1124+003 -1.0805+893 -1.8515+e83 -1.5241+883 '
- TAUYY 4 -1.1883+s83 -1.1483+883 -1.1459*es3 -1.1275+893 -1.1113+e03
- TAUYY E -1.2381,893 .-1.2287+8e3 -1.2219+893 -1.215e+e93- -1.2184+ess l TAUYY S -1.200S+es3 -1.2939+893 -1.3813*es3 -1.3e00+e93 -1.313S+893 I i TAUYY 7 -1.3337+s93 -1.3583+893 -1,3773+8e3 -1.3963+093 -1.4129+e03 l TAUYY S -1.3749+883 -1.4151+S83 .-1.4427+893 -1.4723+e93 -1.4901+es3 t TAUYY 9 -1,4eee+es3 -1.4557+003 -1.4922+s93 -1.5297+8e3 -1.5626+8e3 i e TAUYY 18 -1.4242+ess -1.4744+8e3 -1.5212+893 -1.543E+803 -1.eess+es3 3 i
+
1 T m ant 1 .E.9200+S82 -E.7700+892 -E.84e5+882 -E.515E+492 -E.4eEs+S82 TAUKX 2 ' i -E.9827 882 -E.eE83+e.2 -E.7275+8e2 -E.8188+892 -E.5192+e02 $- { TAUKX 3 -4.87ee+eS2 -E.9722+es2 -E.870e+e92 -E.7898+892 -E.7127+es2 e , TAUKX 4 -4.1994+e92 -4.133E+882 -8.8723+892 -6.8171+e02 -E.9886+402 e ! TAUKX 5 -4.3427+es2 -4.3287+es2 } TAUKX S -4.4924+e92 -4.5183+892
-4.38s3+892
-8.5385*e92
-8.2819+882
-6.EE85+es2
-4.2657,802
-0.5768,892
$e li l Tunnt 7 -a.8368 882 -e.7838 882 -4.7484+892 -e.8233+882 -8.8732+882 Z '
TAUKX.8 -S.864S+S82 } i TAUKX 9
-4.7692+S82
-4.052E+492 -S.9088+e82
-8.962S+e02
-7.1112+892
-7.e513,882'
-7.223S+492
-7.1298+es2
-7.322E+es2 3 [
l TAUKX 18 -8.9872+es2 -7.e643,882 -7.1983+892 -7.3249+882 -7.4359+892 i e EPSYY S.sese S. sees e. sees S. sees e. Sees t 1.1 S.sese S.sese e.ases e. sees e. ! e EPSXX 1 S. sees S. Sees e. sees S.Sese S. sees k i le e. sees e.8888 S.8000 e. sees e. sees ! A lee PAN EXAMPLE FROM J. OF APPL. MECH. MARCH 1971 N = E.e4 ee i TIME .seessees DTIME .seesseee PRESSURE .4Easesse+es2 TEMPERATURE .14eSecesese4ICYCLE 1 i
. 8 21 22 23 24 25
- K.
. , a*
- aac 1.517e-ees i ene-eas e eeee l E 174%eeA
W -6.8637-805 -7.3223-005 -7.6555-865 -7.8577-005 -7.9255-ee5 8.8068 e. sees 6.0000 8.0000 e.Sese 5.8688 8.8688 e. Sees 8.0008 e.Sese S. Sees e. Sees e.Sese 8. Sees 8.0888 0.0006 e. Sees S. sees 0.0000 0.0000
-6.8668-865 -7.3247-se5 -7.6588-865 -7.8683-885 -7.9282-865 e.Sese 0.0008 e. Sees e.eees 8.0008 2.7455-884 2.9289-084 3.0622-884 3.1431-884 3.1782-884 1.7321-883 1.8478-883 1.9319-883 1.9829-883 2.0008-883 5.8756-888 6.2682-808 6.5534-888 6.7266-808 6.7846-888 8.0000 9.9886 s. Sees e.0006 6.0008 5.8756-888 6.2682-888 6.5534-908 6.7266-888 6.7846-888 TAUYY 1 -8.9295+882 -8.6843+882 -8.5861+s82 -8.3979+e82 -8.3616+982 TAUYY 2 -9.3423+e82 -9.1246+882 -8.9665,002 -8.8785+862 -8.8383+802 TAUYY 3 -1.8846+083 -9.8758 882 -9.7518+s82 -9.6765+002 -9.6513+982 TAUYY 4 -1.8977+s83 -1.s869+883 -1.8798 863 -1.0742*e03 -1.0726,983 TAUYY 5 -1.2858+S83 -1.2822+883 -1.1996+883 -1.1988+883 -1.1975+883 TAUYY 6 -1.3188+s83 -1.3227+883 -1.3255 es3 -1.3273+983 -1.3278+883 TAUYY 7 -1.4269+S83 -1.4388+883 -1.4461+863 -1.451e+983 -1.4527+503 TAUYY 8 -1.520e+863 -1.5373+883 -1.558e,8e3 -1.5576+s83 -1.5682+s63 TAUYY 9 -1.5904+883 -1,6124+883 -1.6285+es3 -1.6382+603 -1.6415+s83 TAUYY le -1,6316+883 -1.6565+883 -1.6745,883 -1.6855+883 -1.6891+863 TAUXX 1 -5.3134 862 -5.2398+862 -5.1864+862 -5.1539+e82 -5.143e+0e2 TAUXX 2 -5.4372+0e2 -5.3719+962 -5.3245+882 -5.2957+s82 -5.2868+e82 TAUXX 3 -5.6484+882 -5.5973+002 -5.56e1+882 -5.5375+s82 -5.5299+882 TAUXX 4 -5.9277+S82 -5.8952+082 -5.8716+962 -5.8572+882 -5.8524+e62 TAUXX 5 -6.2521+882 -6.2412+e82 -6.2333+002 -6.2285+082 -6.2269+982 TAUXX 6 -6.5988+862 -6.6826+002 -6.6112,882 -6.6163*ee2 -6.6181+082 TAUXX 7 -6.9152+s82 -6.9486+882 -6.9729+e82 -6.9877+882 -6.9926+962
% TAUXX 8 -7.1944+ee2 -7.2465+S82 -7.2844+882 -7.3874+882 -7.3151+982 TAUXX 9 -7.4857+882 -7.4719+882 -7.5288+882 -7.5492+S62 -7.5598+e82 TAUXX 18 -7.5295+882 -7.6848+882 -7.6581+082 -7.691S+S82 -7.782e+s02 e EPSYY 1 e. Sees S. sees 9. Sees S.9888 0.880s le 5.8888 8. sees S. sees e. sees e.eees e EPSXX 1 8. sees e. sees e. sees 8.0008 e. Sees le S. Sees 0.8688 8.Sese 8.0000 e.Sese lee PAN EXAMPLE FROW J. OF APPL. WECH. MARCH 1971 N = 5.84 ** TIME .48142753+e85 DTIME .11679664,064 PRESSURE .45600ese+882 TEMPERATURE .14858600+884ICYCLE 38 8 K 1 2 3 4 5 8 V 8. sees 3.4871-885 6.9155-865 1.8227-004 1.3367-964 W 5.4977-s64 5.4518-064 5.3146-884 5.0887-984 4.7779-864
-1.5788+s81 -1.5682+881 -1.529e+881 -1.4792+881 -1.4137+881 3.6117-882 3.5784-882 3.4799-882 3.3196-802 3.1827-962
-5.6773-881 -5.6298-001 -5.4901-881 -5.2665-881 -4.9724-801 1.3239-963 1.3114-e83 1.2747-883 1.2153-883 1.1356-883 5.3428-004 5.2979-864 5.1638-064 4.9428-884 4.6385-864 8.sese -1.8126-882 -1.9887-882 -2.8971-682 -3.7188-902
-2.1587-883 -2.1316-883 -2.8749-083 -1.9822-s83 -1.8558-803 e
-2.8888-883 -1.9829-883 -1.9319-es3 -1.8478-903 -1.7321-883 o
-6.7846-888 -6.7266-se8 -6.5534-968 -6.2682-908 -5.8756-808 e 8.0068 3.2229-866 6.2475-886 8.8887-966 1.8984-885 e
-1.6165-885 -1.6849-866 -1.5719-ed5 -1.5171-865 -1.4468-805 $s TAUYY 1 -1.7554+883 -1.7522+s83 -1.7427+s83 -1.7268+003 -1.7847+063 Z TAUYY 2 TAUYY 3
-1.7366+0G3
-1.6829+983
-1.7269+883
-1.8798+963
-1.7175+883
-1.6788 883
-1.7819+983
-1.6557+603
-1,6802+883
-1.6349+983 N
TAUYY 4 -1.6112+S83 -1.6884+883 -1.5998+883 -1.5857+083 -1.5661+963 TAUYY 5 -1.5882+883 -1.5857+863 -1.4979+063 -1.4852+863 -1.4678+003 TAUYY 6 -1.3591+s83 -1.3578+s83 -1.3567+003 -1.3487+ee3 -1.3273+883 TAUYY 7 -1.1156+883 -1.1151+003 -1.2138+803 -1.1121+003 -1.1196+e63 TAUYY 8 -7.0234+002 -7.8727+002 -7.2191+002 -7.4584+002 -7.7844 002 TAUYY 9 -2.3606+e02 -2.4721+002 -2.8035+002 -3.3450+002 -4.0880+002 TAUYY le 6.7500+001 5.2953+001 9.6476,000 -6.1393,001 -1.5842+002
- . - ~ . - ---' ***
-8.5895+Pe* * * * * ' * *
- a *****639 -8 3447+ee?
_ _ . _ _ _ _ . _ _ _ _ _ _ _ _ _ _ . ~ - _ _ _ _ _ . _ _ _ . . _ . . __.--.___.__m.____ - . _ - - _ _ _ _ _ , _ _ _ _ . - __. _ _ _ . l i 1 i TAUMX 2 -8.4785+es2 -3.4543+e82 -S.4866+382 -0.3259+e92 -8.214S+082 l TAUKX 3 -S.2198+402 -S.2843+s82 -0.1581+es2 -8.3817,882 TAUKX 4 -7.8423+s82 -7.9786+882
- -7.8281+882 -7.7457+S92 -7.7148,892 -7.6284+S92 1
- TAUKX 5 -7.3181+e92 -7.3881+882 -7.27e8+482 -7.212S+e92 -7.124S+892 i TAUKX S -4.8291 882 -4.8209+882 -4.5968+882 -4.5582+882 -4.5874+est j TAUKX 7 -5.7242+s82 -5.7228+e92 -5.7193+es2 -5.7149 est -5.712S+eet .
4 TAUKX S -4.4993+e92 -4,5129+492 -4.5534+S02 -4.8198+892 -4.713e+S92 l TAUKX 9 -3.1792+e92 -3.2021+882 -3.2985+eS2 -3.4583,882 -3.8541+S82 a TAUKX 18 -2.2851+e82 -2.3275+382 -2.463S+e82 -2.8597+es2 -2.9397+S92 s EPSYY 1 -1.4244-es4 -1.4128-804 -1.3778-e84 -1.3193-eS4 -1.2419-e84 l l' 18 -7.2849-887 ~7.5519-897 -S.4471-887 -1.8218-808 -1.3232-888 ! S EPSXX 1 3.1412-888 3.1346-888 3.8523-896 2.91SS-eOS 2.7284-808
- IS -2.8942-887 -2.8518-897 -2.2024-897 -2.4709-887 -2.9174-es7 i
- lee PAN EXAWLE FROM J. OF APPL. E CH. MARCH 1971 N = 5.e4 ee
- 1 TIE .48142753 eSE DTIE .11479884+eS4 PRESSURE .45808088+es2 TEWERATURE .3486SSSS+S94ICYCLE as 4
e K S 7 8 9 le f 8 V 1.8282-494 1.8923-394 2.1244-884 2.3207-884 2.4777-884 i W 4.3878-894 3.9258-894 3.3975-884 2.8141-894 2.1844-eS4 4
-1,3388+e91 -1.2531 001 -1.1482,891 -l
-1.0879+S81 -1.810S+est ;
2.0353-892 2.5238-882 2.1736-892 1.7087-892 1.3725-892
-4.4258-est -4.2447-e91 -3.8545-891 -3.4808-881 -3.1518-801 9.2849-894 1.8384-883 S.9154-884 8.4428-894 6.1393-884 !
! 4.2559-894 3.8814-894 3.2821-894 2.7884-884 2.8848-894 i i 4
-4.4371-892 -5.8071-892 -5.8244-882 -4.1298-892 -4.5818-892
-1.6904-eS3 -1.5144-883 -1.3057-883 -1.8757-883 -8.2722-e94 ,
-1.5887-893 -1.4142-883 -1.2175-883 -1.8888-883 -7.6537-894 i j -5.3826-898 -4.7974-800 -4.1382-898 -3.3923-888 -2.5984-e00 '
} 1.2402-885 1.3838-e85 1.2813-885 1.1894-885 9.8954-888 .
-1.3851-e85 -1.2773-805 -1.1895-895 -1.1868-885 -1.8338-e85 I i ,
i TAUYY 1 -1.8784+483 -1.441S+e83 -1.0888+e93 -1.5522+eS3 -1.4953+eS3 ! ! 3 TAUYY 2 -1.8525+493 -1.8187+883 -1.5788+893 -1.5317+483 -1.4772 893 ! 1 TAUYY 3 -1.8883+e83 -1.5789+S93 -1.5389+s83 -1.4942 883 -1.4443+eS3 l
' TAUYY 4 -1.5413.e93 -1.5114+883 -1.4772+e83 -1.4385+S83 -1.3988+s33 i TAUYY 5 -1.44e6+S83 -1.4285+893 .-1.392S+S83 -1.3817+e83 -1.3312+003 !
' TAUYY 4 -1.3113+e03 -1.2938+e93 -1.2784+e93 -1.2009,893 -1.2497+s83 ! TAUYY 7 -1.1185 893 -1.1129+s83 -1.1198+493 -1.1322+883 -1.1525+S83 I TAUYY S -S.1994 882 -0.8881+s82 -9.2007+892 -9.813S+492 -1.8473+e83 ~ TAUYY 9 -4.983S+S92 -S.822S+S82 -7.1545 892 -S.3313+482 -9.5642,802
- TAUYY 18 -2.7079+892 -4.1969+492 -5.7198+882 -7.3875+492 -8.8547+S92-1 f i TAUKX 1 -0.1985+e92 -S.0213+882 -7.8124+892 -7.5780+882 -7.2954+e92 TAUKX 2 -S.8720+882 -7.9811+892 -7.8998+492 -7.4891+e92 l
-7.2000+S92 jl TAUKX 3 -7.8422+882 -7.881S+482 -7.4954+eS2 -7.2864+S82 -7.8542 892
. Ymnm 4 -7.5805+e92 -7.3689+S82 -7.1983*e92 -7.9223+882 -4.8362 892
- TAUKX 5 -7.8374 882 -4.9284*e92 -4.0053+892 -4.8797+e82 -4.5542+e92 '
] TAUKX -S -4.4478+s92 -4.3839 892 -4.3214 882 -4.2874*882 -4.2298+002 TAUKX 7 -E.714S+S92 -5.7253+892 -5.7514+e82 -5.7987+eS2 -5.8733+892 ! TAUKX S -4.825S+892 -4.9829+882 -5.1234+e92 .-5.3885+e82 -5.5198 892 1 TAUKX 9 -3.9124+e92 -4.2943+e82 -4.5241+Ss2 -4.8832+e82 -5.2148 892 e TAUKX 1e !
-3.2845+S82 -3.881S+892 -4.114S+e92 -4.5488+402 -5.0181+s82 o j e EPSYY 1 -1.1478-em -1.8405-894 -9.2 n7-eOS -0.Seu-a 5 -4.n48-en g le -1.8310-888 -2.8957-898 -4.1875-888 -4.6248-eOS -1.8514-895 e EPSXX 1 2.4805-808 2.1989-888 1.0821-888 u L 1.4828-898 1.0895-808 on 1 se -3.5826-487 -4.4418-887 -5.5897-887 -8.4984-e87 -4.9799-e87 8 t
lee PAN EXAMPLE FROM J. OF APPL. ECH. MARCH 1971 N = 5.04 oo
- I TIE .48142753+eSE DTIE .11879864+S84 PRESSURE .45808888+e82 TEWERATURE .1485 eses +e64ICYCLE 3e n-I e K 11 12 13 14 15 ,
e V 2.5927-894 2.8438-884 2.8899-884 2.6885-884 2.8822-894 ! W 1.5198-884 S.3991-885 1.2988-885 -5.7191-885 -1.2417-884
-9.8414 80s -9.3883+889 -9.2098 888 -9.3578,80s -9.7398+S88 !
4 9.2879 303 4.8394-883 -1,3138-884 -4.9184-883 -9.4878-803 j -2.8937-801 -2.7324-881 -2.8838-901 -2.7512-881 -2.9325-881 3.5488-884 1.7849-884 -4.2147-886 -1.8557-884 -3.4141-894 1.4245-884 7.3877-886 3.8432-888 -4.4445-8e5 -1.3543-884
-S 9881-882 -7.2217-882 -7.3288-882 -7.2857-802 -7.0448-802
_r m3ao.maa -2.8858-884 -7.4471-MA 9 7414-M4 E K8A4-M4
-5.1764-e04 -2.6185-804 -1.9842-812 2.6185-884 5.1764-884
-1.7568-088 -8.8557-809 -6.7318-817 8.8557-889 1.7568-808 6.9219-806 3.5673-806 -1.8384-007 -3.7862-806 -7.1758-906
-9.7464-806 -9.3328-866 -9.1353-806 -9.1792-eed -9.4699-806 TAUYY 1 -1.4285+S83 -1.350s.es3 -1.2577+863 -1.1495 883 -1.8236 8e3 TAUYY 2 -1.414e+ee3 -1,3412,863 -1.2580 803 -1.1641+883 -1.8688+883 TAUYY 3 -1.3888+983 -1.3257,883 -1.2584+8e3 -1.1879+ee3 -1.1167+ee3 TAUYY 4 -1.3587+863 -1.3843+S83 -1.2598+883 -1.2174+003 -1.1823+803 TAUYY 5 -1.3825+S83 -1.2779+883 -1.2596+003 -1.2494+883 -1.2477+883 TAUYY 6 -1.2458+883 -1.2483+863 -1.2683+883 -1.2882+863 -1.3864+003 TAUYY 7 -1.1812+883 -1.2179+e83 -1.261e+883 -1.3877+003 -1.3554+863 TAUYY 8 -1.1176+s83 -1.1899+883 -1.2615+e83 -1.3299+883 -1.3932+003 TAUYY 9 -1.8629+e83 -1.1674+983 -1.2628,863 -1,3459+s03 -1.4196+083 TAUYY IS -1.8279+083 -1.1537+S83 -1.2622+883 -1.355e+S83 -1.4342+883 TAUXX 1 -6.9856+es2 -6.6423+se2 -6.2685+882 -5.8683+862 -5.4455+882 TAUXX 2 -6.9199,882 -6.6852,002 -6.2696+802 -5.9199+882 -5.5633+082 TAUXX 3 -6.884e+e02 -6.5486+se2 -6.2713+es2 -6.9655+002 -5.7525+882 TAUXX 4 -6.6428+se2 -6.4527 882 -6.2737 982 -6.1145+882 -5.9827+882 TAUXX 5 -6.4427+882 -6.3478,882 -6.2763+es2 -6.2366+982 -6.2262+S82 TAUXX 6 -6.2162,882 -6.2319+S82 -6.2792+882 -6.3663+862 -6.4584+882 TAUXX 7 -E.9797+882 -6.1168+S82 -6.2818,802 -6.4689+042 -6.663e+882 TAUXX S -5.7568+882 -6.8135+802 -6.2842+882 -6.5586+882 -6.8276+ee2 TAUXX 9 -5.5732+S82 -E.9325+882 -6.2859+882 -6.6268+882 -6.9457+s82 TAUXX 18 -E.4595+se2 -5.8838+862 -6.2869+se2 -6.6647+982 -7.e126+882 e EPSYY 1 -5.5283-885 -4.3452-865 -3.2734-065 -2.3464-005 -1.5966-885 18 -1.6286-895 -2.3839-885 -3.3298-865 -4.4244-885 -5.6286-885 S EPSXX 1 6.3747-887 2.1238-887 -1.6983-887 -4.6746-807 -6.4688-887 le -6.4166-887 -4.6629-Se7 -1.5623-887 2.4153-887 6.7676-067 1** PAN EXAwLE FROW J. OF APPL. MECH. MARCH 1971 N = 5.04 ee
$ S K TIME .48142753+S85 DTIME .11579664+s64 PRESSURE .4580888e+s82 TEMPERATURE .14eSeese+e64ICYCLE 38 16 17 18 19 28 e V 2.4912-884 2.3372-884 2.1428-964 1.9112-864 1.6434-884 W -1.9286-864 -2.5594-844 -3.1450-se4 -3.6756-884 -4.1482-864
-1.0329+S81 -1.1988+S81 -1.1937,881 -1.2838+881 -1.3724+S81
-1.4111-882 -1.8361-902 -2,2318-882 -2.5919-882 -2.9141-882
-3.2186-881 -3.5616-801 -3.9G86-881 -4.3722-881 -4.7754-881
-5.2781-884 -6.8196-984 -8.2381-884 -9.5352-884 -1.0703-883
-2.8345-884 -2.6693-884 -3.2635-884 -3.8824-864 -4.2763-864
-6.7867-882 -6.2733-882 -5.7858-882 -5.2325-002 -4.5964-882 8.1675-964 1.0683-883 1.3e19-883 1.5144-883 1.7827-883 7.6537-864 1.0088-883 1.2175-883 1.4142-003 1.5867-803 2.5964-908 3.3923-888 4.1362-808 4.7974-008 5.3826-988
-9.9975-806 -1.2845-885 -1.3283-805 -1.3444-805 -1.2882-885
-9.9874-806 -1.0683-885 -1.1489-805 -1.2333-005 -1.3158-065 TAUYY 1 -8.8875+s82 -7.2536+S82 -E.6574,802 -4.1145+882 -2.7e71+802 TAUYY 2 -9.4783+se2 -8.3973+S82 -7.1389+862 -5.9984+e02 -4.9579+s82 TAUYY 3 -1.0475+883 -9.8272+s82 -9.2346+e82 -8.7832+002 -8.2378+882 e TAUYY 4 -1.1552+043 -1.1365+S83 -1.1265+883 -1.1284+s03 -1.1193+983 o TAUYY 5 -1.254e+ee3 -1.2668+S83 -1.2836+863 -1.3823+se3 -1.3288+883 e TAUYY 8 -1.3365+883 -1.3683+863 -1.3998+883 -1.4293+883 -1.4556+S83 D
< TAUYY 7 TAUYY 8
-1.4819+863
-1.45e5+883
-1.4454+ee3
-1.5814,883
-1.4862+983
-1.5482+883
-1.5285+883
-1.5851,883
-1.5611+003
-1.6181,863 TAUYY 9 -1.4836+083 -1.5391 003 -1.5869+883 -1.6278,803 -1.6624+883 Z
- TAUYY 18 -1.5918+ee3 -1.5596+983 -1.6898+883 -1.6518+083 -1.6864+883 N TAUXX 1 -5.e54e+882 -4.5686+882 -4.8971+982 -3.6618+582 -3.2689+882 TAUXX 2 -5.2868+882 -4.8562 882 -4.5174+882 -4.1974,002 -3.9649+882 TAUXX 3 -5.5282+002 -5.3129+S82 -5.1312+e82 -4.9738 002 -4.8394+882 TAUXX 4 -6.8823+882 -5.8132+0e2 -5.7718+982 -5.7498+002 -5.7428+802 TAUXX 5 -6.2461+002 -6.2897,882 -6.3493+002 -6.4169+002 -6.4854+802 TAUXX 6 -6.5782+002 -6.7876 802 -6.8389 002 -6.9652+802 -7.8889 882 TAUXX 7 -6.8614+882 -7.8543+002 -7.2359,002 -7.4016 002 -7.5477+002 TAUXX 8 -7.e834+002 -7.3286+002 -7. 8, e9+16 + 802
_y gpzz,p -7.5357.+002
,, ~~~ -7.7266. 002
,n , ~~~ o e, men
-.--- -----_----_----- --__. -_-__.__- __ _ - ------- _ . - _ . _ . ~ - - - ~ _ _. _ . . . -- - . . -
l J j t TAuxx Is -7.3275+882 -7.e881+es2 -7.8547+e92 -S.8883+482 -8.2497+892 e EPSYY 1 -1.e372-e86 -4.5478-est -4.1306-888 s is -4.9974-885 -0.le75-esE
-2.4421-808 -1.8384-eOS i e -9.4542-896 -1.8879-884 -1.1784-es4 "
EPSxx 1 -e.9683-887 -S.4862-897 -E.4439-887 j 1e 1.1198-e88 1.5422-888
-4.4884-e07 -3.E377-e87 1.9307-888 2.2757-888 2.5726-888 i lee PAN F m *LE FROM J. SF APPL. E CH. MAeCM 1971 N = E.84 ** !
!' TIE 48142753+e85 1 e K 21 DTIE .31870es4+es4 22 PRESSURE 23 .4Easesse+es2 TEMPERATURE .148680Se+SS4ICYCLE 38 i e 24 25 V 1.3639-8e4 1.saae-Se4 7.8991-885 3.5355-885 8. sees ; 1 W -4.5325-484 -4.8452-es4 -E.e726-Se4 -E.2188-804 -E.2675-SS4 3
-1.4539+e91 -1.5232+401 -1.574S+401 -1. Gees +est -1.8263 801
-3.1914-882 -3.4148-882 -3.5837-802 -3.0883-882 -3.7218-892
-E.1446-891 -E.4542-801 -E.8937-801 -E.8423-481 -E.8920-est
-1.1719-883 -1.2554-883 i
-1.3188-883 -1.3548-403 -1.3497-803
' -4.8788-es4 ~4.9063-884 -E.2299-894 -E.3793-884 -E.4177-se4
-3.eSee-es2 -3.e13e-eer -2.s711-est -1.eEE2-es2 s. sees 1.0833-883 1.9827-883 2.e877-Se3 2.1459-883 2.1865-883 1
1.7321-es3 1.8478-893 1.9319-883 1.9829-883 2.8088-883 j E.8754-888 S.2842-888 4.5534-888 4.7244-808 4.7844-e8e ,
-1.1349-e85 -9.1913-888 -4.4846-888 -3.3358-808 8. Sees '
i
, -1,3891-885 -1.4514-ess -1.4984-ess -1.5278-886
, -1.5378-886 TAUYY 1 -1.4943+e82 -E.1599+481 2.8892+881 S.3897+4e1 7.8498+est a i TAUYY 2 -4.852S+e82 -3.3147+882 -2.7711 es2 -2.4344+e82 -2.3244+482 TAUYY 3 -7.8414+882 -7.5232+e92 -7.2897+492 -7.1478+S82 -7.8999+S92 TAufY 4 -1.12e6+e83 -1.1231+S93 -1.125E+e83 -1.1273+883 -1.1288+es3 TAUYY E -1.3377 883 -1.3517+es3 -1,3823+883 -1.344S+e83 -1.3718 483 j TAUYY S -1.4701+e93 -1.4981 883 -1.5893+e83 -1.5172+e83 -1.5199+ess 'j TAUYY 7 -1.5765+ess -1.5004+ess -1.8112+es3 -1.8288+493 -1.4229+483 TAUYY e -1,64E4+e83 -1.8888+e03 -1.8422+893 -1.891E+Se3 -1.4947 883 TAUYY 9 -1. eses +eS3 -1.713S+033 -1.7298+es3 -1.7388+e83 -1.7419+893 D TAUYY 18 -1.7154+883 -1.730S+883 -1.7543,883 -1.7441+S93 -1.7873+003 1 ' Tm anr 1 -2.9131 892 -2.830S+882 -2.4224 882 -2.2956 882 -2.2521.e82 1 Tatarx 2 -3.8499+492 -3.4413+e92 -3.200S+e82 -3.1919+S92 -3.1599+es2 4 TAtatx 3 -4.7273+492 -4.8383+e82 -4.573E+S82 -4.534G+es2 -4.5287+S82 1 TAUKX 4 -E.7447+est -E.75e7+e92 -E.7574+es2 -E.782E+es2 -E.7643+482 Tm ant 5 -4.5498+S92 -e.8929+es2 -4.843S+492 -e.0694+402 -4.47eS+SS2 Tm anr 8 -7.1814+e92 -7.2832*est -7.323E+e82 -7.3ee5+482 -7.3729+est ! TAUKX 7 -7.8734 802 -7.7782+882 -7.8422+882 -7.8069 892 -7.9005 492 T m ant 3 -e.8291+e92 -S.1378+e92 -8.2184+492 -8.2639+S92 -S.2798+892 i Tm ant 9 -8.2648+882 -0.383S+eet -S.4463+e92 -S.5149+es2 -e.5315 892 T m ant Is -S.39eS+492 -0.5159+eS2 -S.5900+S92 -S.8585+482 -0.4474 882 ! e EPSYY 1 -1.3275-ess -1.8297-888 -8.5442-897 -7.8342-887 -7.3588-897 i 1e -1.2783-894 -1.35e9-804 -1.4171-804 -1.4543-804 -1.4004-884 e EPSxx 1 -2.9e15-e87 -2,48s6-887 -2.1975-se7 -2.8498-e87 -2.e838-e87 le 2.8105-888 3.e118-eeS 3.15eE-est 3.2343-8e8 3.2623-888 l lee PAN EXAte'LE FSOM J. OF APPL. ECH. beteCM 1971 M = E.84 ee i TIE .80516443 885 DTIE .89548708 883 PRESSURE .4Easesse+es2 TEMPERATURE .340 Eases +804ICYCLE Ee 1 e K 1 2 3 4 E i e y S. sees E.7244-e86 1.1354-884 e j u 1.8792-894 2.1948-e94 O 9.841e-es4 S. Sees-So4 s.74et-see s.3Ser-e84 7.eSot-as4 * ! -2.7377+881 -2.7181+e81 -2.4524+4s1 -2.5687 481 -2.4172+est w
~
S.3547-882 S.2974-892 8.1184-se2 E.9242-882 E.4323-882 co
- -E.Ses2-est -E.9143-881 j
-E.7385-481 -E.44eS-est -E.eS49-est e ,
1.4294-ess 1.4845-883 1.3581-883 1.2848-es3 1.1898-ess ( i s.7715-see S.8979-894 S.4782-804 8.1183-es4 7.4181-e84
] e. Sees -1.0645-892 -E.2814-SS2 o
-3.8429-802 -4.8784-882
-3.5428-883 -3.5182-8e3 -3.4142-883 -3.2579-803 -3.e462-883
-2.0008-883 -1.9829-883 -1.9319-883 -1.8478-803 -1.7321-883
-4.7846-e88 -S.7268-888 -4.5534-808 -6.2482-808 -E.8754-888 i S.5482-808
' S.8000 1.2731-886 1.8112-esE 2.2388-806
-2.3191-885 -2.7952-896 -2.7263-086 -2.8144-885 -2.4784-806 TAUYY 1 -1.3734+a83 -1.0893+e03 -1.8572+883 -1.8373+es3 -1.8098+e83
.TAufY 2 .1.8441 883 -1.8421+483 ,1.810,6 j-.---_. - --ee ==+ .y 7m s,e+3 -1.8382.
.+ v 883
.+ ++ . +s83. ,1.78,35,88._3
+n.. .,,,-
TAUYY 4 -1.7134+se3 -1.7147,383 -1.7836 883 -1.6855+S43 -1.6684+s83 TAUYY E -1.6871+883 -1.6837+983 -1.5934+S83 -1.5766+483 -1.5534+883 TALITY 6 -1.4449 383 -1.4419+ee3 -1.433e+8e3 -1.4183+s83 -1,3984+se3 TAUYY 7 -1.1698+es3 -1.1688+s83 -1.162S+ss3 -1.1545+s83 -1.1441+es3 TAUYY 8 -E.E34e+S02 -E.5968+SS2 -5.7792+S82 -6.8759+e82 -6.4762 882 l TAUYY 9 2.5162+882 2.3546+882 1.8587+S82 1.8558 882 -3.5837 80s TAUYY le 7.5465+882 7.3408+s82 6.6836+882 5.6511+082 4.2148,882 TAUXX 1 -9.1881+882 -9.1674+S82 -9.1955+S82 -9.8834 882 -S.862e+882 ( TAUXX 2 -9.9432 8e2 -9.822S+882 -S.9618+se2 -8.8612 882 -8.7219+842 i TAUXX 3 -8.7733+s82 -S.7634+e82 -S.6942+s82 -0.59e5 882 -S.4615+e82 ) TAUXX 4 -S.3681+8e2 -S.3413+882 -8.285&+s82 -S.1924+882 -S.0651+S62 i TAUXX E -7.7657+8e2 -7.7487 002 -7.6988+882 -7.6149+882 -7.5815+882
- TAUXX 6 -6.9361+es2 -6.9227+882 -6.8829+S82 -6.8184+882 -6.7321+862 r TAUXX 7 -E.7686+882 -E.7627 882 -E.7454+S82 -E.7186+882 -5.6857+882
- TAUXX S -3.9134+es2 -3.9298 882 -3.9794 802 -4.964e+S82 -4.1692+S82 TAUXX 9 -1.5965+S82 -1.644S+8e2 -1.7878+882 -2.828e+882 -2.3333+S82 TAUXX 18 -4.711S+ees -1.1627+sel -3.1969+e81 -6.4668+s81 -1.083e+882 4 EPSYY 1 -2.4726-884 -2.4583-884 -2.3842-884 -2.2777-884 -2.1357-884 1e -1.7212-487 -2.8486-887 -5.2443-887 -8.6912-887 -1.2766-se6 e EPSXX 1 4.4825-886 4.4486-886 4.3474-se6 4.18es-se6 3.9476-se6 IS -E.2437-887 -4.9390-887 -4.2196-887 -3.5411-887 -3.3253-887 les PAN F N LE FROW J. OF APPL. IEC*t. MARCH 1971 N = E.e4 ee TIME .68518483+s06 DTInE .8966870e+ss3 PRES $URE .45808888+S82 TEMPERATURE .14868ese+es4ICYCLE Es e K 6 7 8 9 18 8 V 2.6736-984 3.1875-Se4 3.4892-884 3.8121-884 4.8798-884 W 7.2153-884 6.4545-se4 E.5876-984 4.6291-884 3.5964-864
-2.2688+881 -2.8486 881 -1.9136+881 -1.7463+881 -1.5989,881 4.9648-882 4.4455-se2 3.79E9-es2 3.1321-802 2.4147-802
-4.6168-est -4.1283-s81 -3.6272-881 -3.1422-901 -2.7868-801 1.8757-803 9.4949-864 S.1448-884 6.7266-884 E.2244-884
$ 6.9920-e04 6.2481-884 E.3984-884 4.4563-884 3.4388-804
-7.8771-882 -8.8765-302 -9.7384-882 -1.0548-881 -1.1376-881
-2.7852-883 -2.4813-883 -2.1482-es3 -1.7865-es3 -1.3628-803
-1.5067-883 -1.4142-883 -1.2175-883 -1.0000-883 -7.6537-884
-E.3826-808 -4.7974-808 -4.1382-888 -3.3923-888 -2.5964-888 2.5314-896 2.6718-e66 2.6463-885 2.4428-896 2.0613-806
-2.3829-806 -2.1235-ses -1.9448-806 -1.7787-886 -1,6331-9e5 TAUYY 1 -1.7749+883 -1.7327+s83 -1.6831 883 -1.6253+e83 -1.5577+ss3 TAUYY 2 -1.7492+s83 -1.7877+883 -1.6598+883 -1.6826 883 -1.5378+0e3 TAUYY 3 -1.7814+8e3 -1.6613+ss3 -1.6145+es3 -1.5686+ee3 -1.4998+883 TAUYY 4 -1.6288 003 -1.5989+983 -1.5478+s83 -1.4975+883 -1.4425+S83 TAUYY E -1.5244 883 -1.49ee+S83 -1.4518+883 -1.4887+883 -1.364S+es3 TAUYY 6 -1.3739+883 -1.3459+883 -1.3162+s43 -1.2871+883 -1.2626+se3 TAUYY 7 -1.133e+8e3 -1.1232+s83 -1.1174+S83 -1.1189+883 -1.132e+s83 TAUYY S -4.9696+ee2 -7. 5467+ se2 -8.2828+0e2 -0.9381 882 -9.7644+882 TAUYY 9 -1.3825+882 -2.9431+es? -4.6544+s82 -6.4335 842 -8.1885 882 TAUYY 18 2.4401 882 2.834e+s81 -2.8981 882 -4.6812+882 -7.0652+ee2 TAUXX 1 TAUXX 2
-S.6822+882
-8.5452 882
-0.4647+s82
-S.3317+882
-S.2089 882
-S.8817+082
-7.9122+e82
-7.7936 882
-7.5687,002
-7.4635+e82
- TAUXX 3 -S.2900+s82 -0.8457 882 -7. 8476 + se2 -7.5789+S42 -7.2731+S82
- TAUXX 4 TAUXX E
-7.9e61+482
-7.3611+882
-7.715e,882
-7.1978+es2
-7.4978,882
-7.8178+082
-7.257e+8e2
-6.8256+S82
-6.9968+s82
-6.6335 862
$ e TAUXX 6 -6.6283+S82 -6.5129 982 -6.3938+es2 -6.2817 882 -6.1969+se2 Z TAUXX 7 -5.6518+882 -E.6112+ee2 -5.6831+e82 TAUXX S -4.3454 882
-E.6239+882
-4.4688+882 -4.6585+882
-5.6259+882
-4.8824 882 -5.1482+882 N TAUXX 9 -2.7171+882 -3.1578+882 -3.6383+882 -4.1416+882 -4.6565+8e2 TAUXX 18 -1.6151 882 -2.2294+882 -2.9669+0d2 -3.6175 882 -4.3232+862 8 EPSYY I -1.9644-804 -1.77e4-se4 -1.5686-804 -1.3411-884 -1.1177-es4 1e -1.8256-806 -2.71e7-se6 -4.2679-886 -7.1169-886 -1.2299-ee5 8 EPSXX X 3.6517-886 3.2938-ee6 2.8713-886 2.3844-886 1.8382-eas is -3.7148-887 -4.6263-887 -6.9881-887 -7.6757-687 -8.9984-667 1+e PAN EXAneLE FROW J. OF APPL. WECH. MARCH 1971 N = S.84 ee TIndE .68518483+885 DTIME ,,.895687e8+003 .P.RESSURE .45000000+e02 TEMPE,RATURE .14e50eee+ee4ICYCLE 50
e V 4.2686-864 4.3782-864 4.4212-004 W 2.5827-804 1.3785-884 4.3885-804 4.2886-004 2.1778-885 -1#.3558-806 -2.9697-884
-1.4837+S81 -1.4114+881 -1.3893+081 -1.4198+s81 -1.5008+s81 1.6437-882 8.2662-963 -1.8483-864 -0.6655-8e3 -1.6924-882
-2.3573-841 -2.1335-881 -2.8689-881 -2.1495-801 -2.3912-881 3.5996-864 1.8385-es4 -1.2669-866 2.3557-964 1.2386-984
-1.8728-884 -3.6591-884 7.9981-886 -1.8765-864 -2.2187-884
-1.2165-881 -1.2756-est -1.3482-881 -1.2847-861 -1.2338-861
-9.3228-084 -4.7999-984 -1.5312-885 4.5844-884 9.8575-884
-5.1764-884 -2.6195-904 -1.9842-812 2.8105-884 5.1764-864
-1.7588-988 -8.8557-se9 -6.7318-817 8.8557-009 1.7568-088 1.4888-865 7.7878-866 -1.8289-887 -8.8716-886 -1.5282-006
-1.5125-805 -1.4248-845 -1.3886-885 -1.3882-865 -1.4511-865 TAUYY I -1.4778+803 -1.3791 883 -1.2591+863 -1.1165+883 -9.2627,882 TAUYY 2 -1.4597+863 -1.3688+043 -1.2592,843 -1.1314+003 -9.8481+se2 TAUYY 3 -1.4284,683 -1.3483+883 -1.2594+883 -1.1648+883 -1.6698+S83 TAUYY 4 -1.3829+863 -1.3206+S83 -1.2596+S83 -1.2854+883 -1.1835+S83 TAUYY 5 -1.3224+883 -1.2859+883 -1.2598+S83 -1.2479+683 -1.2514+063 TAinY a -1.2476+883 -1.2481 883 -1.2681+s83 -1.2881+se3 -1.3265+863 TAUYY 7 -1.1643+S43 -1.2942+883 -1.2683 883 -1.3231 003 -1.3878+s83 TAUYY 8 -1.9678+883 -1.1644+883 -1.2685 883 -1.3589+s83 -1.4326+s83 TAUYY 9 -9.8363+s82 -1.1318+883 -1.2687 883 -1.3787+0e3 -1.4638+883 TAUfY 18 -9.2729+082 -1.1115+883 -1.2648+083 -1.3819+883 -1.4811+S83 TAUXX 1 -7.1784+882 -6.7114+882 -6.1919+se2 -5.8167+862 -4.9999+e82 TAUXX 2 -7.9865+002 -8.6610+S82 -6.1925+882 -6.6929+s82 -5.1773+s62 TAUXX 3 -6.9367+s82 -6.5727+882 -6.1935+882 -5.8188+882 -5.4677,882 TAUXX 4 -6.7243+S82 -6.4513+882 -8.1949+882 -5.9747+882 -5.8877+882 TAUXX 5 -6.4539+es2 -6.3838+S82 -8.1964+882 -6.1457+082 -6.1539+882 TAUXX 6 -6.1385+S82 -6.1388+S02 -6.1988+S82 -6.3131+882 -6.4725+882
$ TAUXX 7 TAUXX 8
-5.7967+S82 -5.9715+s82 -6.1996+882 -6.464e+882 -6.7452,982
-5.4621 002 -5.8186+es2 -6.2009+S82 -8.5874+882 -6.9598+882 TAUXX 9 -5.1774+S02 -5.6969+s82 -8.2819+882 -8.6775+862 -7.1996+882 TAUXX 18 -4.9952+882 -5.8229+S82 -8.2825+882 -8.7281+S82 -7.194e+S82 s EPSYY 1 -8.9683-SGS -8.8867-005 -4.9462-905 -3.3287-886 -2.8656-885 13 -2.9974-865 -3.3714-805 -5.9243-885 -6.9776-806 -9.1367-885 s EPSXX 1 1.2138-ses 5.8138-887 -6.7796-808 -5.78el-se7 -0.6643-se7 1s -8.6152-es7 -6.6486-887 -4.5272-808 5.9438-887 1.2583-806 1ee PAN EXAMPLE FROM J. OF APPt.. WECH. MARCH 1971 N = 5.04 ee TIME .68510483 885 DTIME 17 .89668788+883 PRESSURE .4586800e+se2 TEMPERATURE .145580ee+884ICYCLE 50 s K 16 18 19 28 s V 4.9989-864 3.8463-884 3.5271-864 3.1466-se4 2.7112-804 W -3.1651-884 -4.2831-884 -5.1662-884 -6.8388-884 -6.8838-864
-1.6253+sel -1.7826+0e1 -1.9683+881 -2.1459+061 -2.3276+881
-2.4778-882 -3.2128-se2 -3.8963-882 -4.5279-C32 -5.8992-882
-2.7608-881 -3.2213-881 -3.7337-881 -4.2642-881 -4.7827-861
-5.3239-884 -6.8762-984 -8.3526-884 -9.7659-884 -1.1992-863
-3.3264-884 -4.3888-864 -5.3687-884 -6.2518-904 -7.8347-804
-1.1618-881 -1.8842-861 -1.8664-881 -9.2166-982 -8.2876-882 e 1.3413-883 1.7512-003 2.1323-883 2.4812-883 2.7938-883 O 7.6537-884 1. Sees-se3 1.2175-883 1.4142-003 1.5867-903
- 2.5964-868 3.3923-8e8 4.1382-808 4.7974-808 5.3826-808
-2.1134-885 -2.5194-865 -2.7341-885 w
-2.7654-805 -2.6248-806 co
-1.5663-Se5 -1.7295-965 -1.8939-806 -2.8786-805 -2.2379-805
.)
s TAUYY 1 -7.9453,982 -4.5845,882 -2.8332+882 3.6286+s81 2.5889+882 TAUYY 2 -8.1968,se2 -6.4429+862 m
-4.6613+002 -2.9449+002 -1.3774+082 TAUYY 3 -9.8826+S92 -8.9968+882 -8.2883+882 -7.6457+862 ~7.8884+e02 TAUYY 4 -1.1374+983 -1.1265+983 -1.1272.se3 -1.1351 003 -1.1467+003 TAUYY 5 -1.2685+883 -1.2948,883 -1.3255+ee3 -1.3567+803 -1.3858+863 TAUYY 6 -1.3786+083 -1.4161 803 -1.4599+003 -1.5001 003 -1.5356+003 TAUYY 7 -1.4483+883 -1.5847+e03 -1.5556 003 -1,6007+003 -1.6398+003 TAUYY 8 -1.5846+003 -1.5677+003 -1,6229,083 -1.6711+083 -1.7123+ee3 TAUYY 9 -1.5426+863 -1.6896 003 -1.6674 003 -1.7174+003 -1.7601+003 TAUYY 18 -1.5632+863 -1.6323+003 -1.6915+003 -1.7425+003 -1.7859 003
I i } TAUXX 1 -4.317e+492 TAUXX 2
-3.8878+e92 -2.8912+S92 -2,2868+892 -1.5454+es2 1 -4.8588+882 -4.1447+S92 -3.64e9+e92 -3.1589+e92 -2.716e+S92 l TAuxx 3 -E.1599 392 -4.8999 882 -4. 819. = -4.4978. = -4 . 3 ne.=
3 TAUKX 4 -E.7819+eS2 -E.8526+eS2 -E.6455+es2 -E.8853+es2 t TAUKX E -S.2147+e92 -4.3136,892 -E.4997+eS2
-8.433E+eS2 -8.5598+882 -4.6818+eS2 l TAUKX S -s.sesE+882 -4.0887+892 -7.8597+492 -7.2478+S92
+
4 TAUMX 7 -7.825S+492 -7.4172+s82
-7.2938+e92 -7.542S+892 -7.7861 892 -7.9622+S82 TAUXX S -7.3831+eS2 -7.414E+S82 -7.8924+002 -0.1372+e92 i TAUKX 9 -0.3483+482 +
-7.4941+es2 -7.8318+S92 -S.1268+S92 -8.3834+S82 -0.8827+892 TAUXX 18 -7.59eS+eS2 -7.95e3+eS2 -S.254S+S92 -8,5164+es2 d e EPSYY I -1.2112-885 -0.7399+e92
! Is
-7.8203-864 -4.2251-896 -2.8956-806 -1.0238-8e8 e
-1.1489-894 -1.3717-884 -1.5993-804 -1.8177-884 -2.82e1-894 i
' EPSXX 1 -S.9811-887 -7.e234-SS7 -E.9342-887 -4.5863-887 -3.8946-807 1e 1.8884-888 2.4521-888 2.95es-se6 3.3819-888 : 3.7498-8e6 l 1- 1ee PAN EXAWLE FROM J. OF APPL. ECH. MARCH 1971 N = E.84 ee i TIE .eeE19483+esE e K 21 DTIE .89548708+s8322 PRESSURE 23 .45888888+S82 24 TEWERATURE .1486eese+aS4ICYCLE se i S V 25 ' 2.2284-894 1.7885-894 1.1547-884 E.8246-SSE e. Sees W -7.4508-884 -7.9853-894 -0.3492-804 -S.5881-884 -S.8445-894 '
-2.4943+491 -2.8388+e81 -2.744S+S81 -2.8116+S81 -2.8348,e81
- i -b.6974-SS2 -S.3135-802 i
-4.8872-882 -6.5833-882 -4.5875-eS2
-E.2594-801 -5.8455-801 -E.9756-881 -4.1897-8e1 -S.2359-s91 i -1.2287-893 -1.3386-803 -1.4878-883 -1.4578-898 i -7.8974-e94
-1.4739-883
-0.2267-894 -0.8124-894 -0.8489-804 -8.9256-884
) -4.9772-882 3.8814-493
-5.5881-892 -3.0188-882 -1.9582-882 S.SSSS i
4 3.2795-803 3.4488-883 3.5399-883 3.5734-883 1.7321-803 1.8478-883 1.9319-803 1.9e29-883 2.8000-383 ' 5.8754-888 S.2882-898 S.5534-888 8.7266-800 8.7846-3e3 1
-2.3249-885 -1.8838-885 -1.3247-885 -6.8379-886 e.Sese l
-2.3898-885 -2.515e-SSE -2.sle9-eSE -2.se99-eSE -2.sS99-eSE D TAUYY 1 4.3341+882 5.7892+882 S.8329+S92 7.4583+882 7.843S+eS2 O TAUYY 2 -2.2395+ese 1.8757+S02 1.884S+S82 2.3808+882 '2.540S+eS2 i
-TAUYY a -s.813S+882 -4.2279+S82 -E.9425+e92 -5.7662+S82 -E.7865+S82 TAUYY 4 ;
-1.1593+S83 -1.171S+893 -1.1982+S83 -1.1888 803 -1.1879 003 TAUYY E -1.4114+eS3 -1.4321+e93 -1.4473+S93 -1.4546+e83 -1.4597+S93 i
TAUYY S -1.5858+es3 -1.5898+S83 .-1.8878 003 -1.6175+883 -1.8211+S83 TAUYY 7 -1.8724+e83 -1.8982+893 -1.7178+883 -1.7284+S83 -1.7322+003 TAUYY 8 -1.7486+s93 -1.7737+e83 -1.7934+S83 -1.0853+003 -1.8993+es3 }- TAUYY 9 -1.795E+S93 -1.0234+S83 -1.8438+Ss3 -1.8558+883 -1.8599+e83 ' } TAUYY le -1.8218+e03 -1.8501 e93 -1.070$+e83 -1.8831+e83 -1.8873+e03 3 TAUXX 1 -1.e441+882 -8.8291+881 -2.7826+es1 -6.2976+000 7.E375-801
. TAUXX 2 -2.3297+882 -2.0141+S92 -1.7800+892 -1.8356+882 -1.5888+S82 3 TAUMX- 3 -4.2e85+e92 -4.1834+e92 -4.8288+s92 -3.9783+892 -3.9622+s82 t TAUKX 4 -5.7394+892 -5.7778+e82 -E.0072+e82 -E.824E+S82 -5.8331+e92 l TAUKX E -4.7999+492 -8.8810+892 -8.9495+S92 -6.9913+082 -7.8964+S82 j TAUKX 4 -7.543S+892 -7.48e8+eS2 -7.7869+e92 -7.0196+S82 -7.8372+882' i
TAUXX 7 -8.1274+892 -0.2589+e92 -0.354E+S92 -8.4126+882 -0.4321+S92 j TAUKX S -8.5241+eS2 -8.8431,882 -8.7838+482 i
-0.8249+892 -8.8454+S92 e TAUMX 9 -0.784E+e82 -0.9279+e82 -9.8316+S92 -9.8944+482 -9.1155+S92 O ! TAUXX 18 -0.9246+892' -9.0781,892 -9.1753+S92 -9.2391+892 -9.2684+e92 4 ~
e EPSYY 1 -1.2755-896 -0,5497-897 -4.9763-887 -2.2596-807 -1.2258-897 [ w 18 -2.1993-884: -2.3481-384 .-2.4599-884 -2.5292-884 -2.5628-884 00 S EPSXX 1- -3.3449-887 -3.8313-887 -4.4812-807 -E.2eSE-e87 le
-E.5385-887 j,,,
4.8534-886 4.2923-ess 4.4644-ess 4.5485-886 4.6834-806 % , lee PAN EXAFLE FROM J. OF APPL. ECH. MARCH 1971 N = 5.84 ee . O TIE .88921943+s85 DTI E .6274781E+e83. PRESSURE .45esesse+eS2 TEWERATURE .14858080+eS4ICYCLE 76 J e K 1 2 3 4 E S V S.sese 8.79E9-885 1.7443-884 2.%797-884 3.3716-884 i W 1.3995-es3 1.3788-8e3 1.3437-883 1.2868-803 1.2869-883 1
-4.3331,881 -4.2931 881 -4.1758+e01 -3.9887+s81 -3.7437+e81 l 1.0286-8e1 1.8178-881 9.8337-882 .9.3883-892 S.6847-802 j -6.2413-881 -8.1827-801 -E.9338-sel -E.5696-801 -E.8994-901 1.6888-883 1.5829-883 1.6883-e03 1.3948-883 1.2624-883
.{ 1.3477-e83 3
-1.3824
---.-es3 1.2466-803 4
.,1. 3,38,y ,88,3
, --. . , . , 1. 169
. -.,9 -3. . __ _ ,_. _ . _ _ _ _ _ . _ . _ .
.- - - - . - - - - - - - . - . . - - - - . - - - - _ - - . _ . _ _ - _ . _ _ - - - -...- - -. - - . .- -~~.
l t 2 i
-5.5847-883 -5.4489-803 -5.2846-883 -5.0209-883 -4.6787-893 1 -2.seOS-SS3 -1.9829-803 -1.9319-803 -1.8478-883 -1.7321-883 i
-6.7846-898 -6.7266-888 -6.2682-eOS
- e. Sees 1.2121-896
-6.5534-898 -5.0756-808 2.3449-885 3.3271-895 4.1926-885 '
{ -4.4995-805 -4.4434-895 -4.3866-885 -4.9920-895
. -3.0175-805 .
! TAUYY 1 -2.94E3+883 -2.8394+883 -2.8219+S83 -1.9933+ess TAUYY 2 -2.8147+SS3 -1.9549+s83
-2.8889+S83 -1.9916+S83 -1.9037+Se3 -1.9259+S83 TAUYY 3 -1.9576+883 -1.952S+S83 -1.9355+S93 -1.9085+S83 -1.8720+003 TAUYY 4 -1.8784+S93 -1.0652+S83 -1.0498+S83 -1.8243+S93 -1.7899+883 TAUYY 5 -1.7437+893 -1.7398+S83 -1.725S+S83 -1.7921+s83 -1.6789+883
+ TAUYY 8 -1.5567 803 -1.5529+S93 -1.5415+S83 -1.5227+e03 -1.4965,803
+
TAUYY 7 -1.2299+S93 -1.2282+S93 -1.2226+883 -1.2127+883 -1.1980+S83 TAUYY 8 -2.9845+882 -3.802S+S92 -3.4199+S82 -3.9343+S82 -4.574S+S82 i TAUYY 9 9.8895+S92 9.4493+S02 S.724S+S92 7.6139+s92 5.8568+S82 TAUYY le 1.4934+S93 1.3988+SS3 1.3494+S93 1.2723+883 1.1433+S83 l TAUXX 1 -1.8822+883 -9.9917+S82 ' -9.9824+S92 TAUXX 2 -9.7573+s82 -9.5613+S82 ? -9.8594+892 -9.8298+S92 -9.7422+S82 -9.5996+S82 -9.4868+S82 i TAUXX 3 -9.5561+892 -9.5276+S92 j -9.443S+002 -9.3852+S82 -9.1185+002 TAUXX 4 -9.8891+892 -9.8822+S02 -8.9824+S82 -8.8522+S92 -0.8765+S92 i TAUXX 5 -S.4846+S92 .-0.38S4+S82 -0.3804*es2 -8.1998+S82 -8.9306+882 4 TAUXX.8 -7.481S+892 -7.3818+S82 -7.3248+s82 -7.2311+002 -7.le3S+882 i TAUXX. 7 -5.0532+S92 -5.8459+S82
-5.8236+882 -5.705S+892 -5.7294+882 TAUXX e -2.9888+882 -2.9998+S82 -3.9933+802 -3.2378+882 -3.4145+S82
- TAUXX 9 9.3282+S81 8.3891+S81 5.6977+S91 1.5269 881 -3.7493+891 j TAUXX 18 3.5321+882 3.4198+S82 3.8799+S82 2.5188+S82 1.7569+882 S EPSYY 1 -3.9388-894 -3.8981-884 -3.7707-894 -3.5886-884 -3.3391-884 le 1.5941-895 1.4916-885 1.2925-886 7.8364-886 3.3589-806 S EPSXX 1 8.se61-80s 8.3374-se6 6.1931-896 5.9582-886 5.6482-806 p 18 -4.2645-888 -5.9728-886 -5.1231-806 -3.8219-806 -2.3421-806 3
~ 1ee PAN EXAw1.E FROM J. OF APPL. ISECH. MARCH 1971 N = 5.84 ee 1
' TIE .88821943+SS5 DTIE .82747815+S83 PRESSURE .45808088+S92 TEWERATURE .14858000+884ICYCLE 76 e K 8 7 8 9 le 8 V 4.1987-894 4.7729-884 5.3598-884 5.8551-894 8.2529-s84 W 1.1977-883 9.9841-894 8.5697-894 7.9967-884 E.5895-884
-3.4567+S81 -3.142S+e01 -2.8217+881 -2.5144+881 -2.2485+S81 7.7848-882 8.8717-882 5.8872-802 4.8430-882 3.7381-902 1
-4.5533-891 -3.9811-801 -3.3573-881 -2.7788-891- -2.2568-881 I
j 1.9978-883 9.4148-894 7.8799-894 8.3744-884 4.0959-es4 1.0736-883 9.5933-884 S.2984-884 6.0477-884 5.2874-8e4 , d 1
-1.3387-801 -1.4534-801 -1.5516-881 -1.6395-891 -1.7411-881 l
-4.2488-883 -3.7683-803 i i -1.5887-883
-3.2392-883 -2.6689-883 -2.8618-853
-1.4142-883 .-1.2175-883 -1.8888-883 -7.6537-884 1 -5.3828-898 -4.7974-898 -4.1382-888 -3.3923-888 -2.5964-898 1
' -4.6313-885 4.8827-885 4.8391-885 4.4964-885 ~ 3.0293-885
-3.5858-885 -3.1788-805 -2.8588-885 -2.5478-905 -2.2896-895 TAUYY 1 -1.9877*S83 -1.8527+S83 -1.7898+S83 -1.7182+S83 -1.6368+893 l TAUYY 2 -1.8795+S93 -1.0254 803 .-1.7636+803 -1,6931,883 -1.6127+S83
! TAUYY 3 -1.0272+S83 -1.7747+083 -1.7147+863 -1.6467,883 -1.5698+883 e } TAUYY 4 -1.7474+S83 -1.8974+883 o
-1.5762,883 -1.5961+893
-1.6403 803 .e '
j TAUYY E -1.6319+003 -1.5858+e03 -1.5333 883 -1.4764+S83 -1.4139+893 i TAUYY S -1.4632+S83 -1.4233+003 -1.3787+S83 7-1.3324+883 -1.2889+S83 C co l TAUYY 7 -1.1781+s83 -1.1649+883 -1.1327+e03 -1.1173+003 --1.1168+S83 1 DUYY S -5.2882+S92 -4.M 54+es2 -6.8844+S92 -7.8878+002 -0.8342+M2 1 i TAUYY 9 3.8385+802 1.5485+882 -9.5481+S81 -3.5900+S82 -6.2156+e02 (n TAUYY le 9.4148+SS2 4.8804+S82 3.283S+S82 -5.9112+881 -4.2785+002 i 4 TAUXX 1 -9.3190+892 -9.9366+892 -8.7187+892' -8.3382+s92 -7.9189+S82 ! } TAUXX 2 -9.1691+892 -0.8901+882 -8.5693+e82 -8.2839+s82 -7.7877+S82 f TAUXX 3 -8.8880+882 -8.8171,802 -8.3865+es2 -7.9554+eS2 -7.5618 802 ! TAUXX 4 -8.4567+Se2 -8.1996+S82 -7.9867+892 -7.5811,se2 -7.2266+882 ! ' TAUXX 5' -7.8319+S92 -7.5991+892 -7.3384+S82 -7.8583+882 -6.7706+8e2 TAUXX e -6.9439+s92 -6.7597+S82 -6.5614+882 -6.3643+882 -6.1884+es2 } TAUXX 7 -5.6683+892 -5.6792+882 -5.5883+082 -5.4664,802 -5.4784+502 1 m wv * *** aa' -3.8269+8 * -d ******** d **So a * .-d 878A #89 5 L . -
_._ _ _ _ . _ _ _ . _ _ _ _ _ _ _ _ _ . _ _ _ _ . __ __m- _ _ _ _ _ , . _ . .. . _. _ _ _ - . ___ m. _ __ __- - { 1 l TAUXX 9 -9.7973+s61 -1.6434+S82 -2.3683+882 TAUXX le 8.5e46+001
-3.1988+882 -3.8678+ee2 I
' s -1.281S+S81 -1.1683+002 -2.2181+S82 -3.2994+ee2 EPSYY 1 -3.0438-804 -2.7169-004 -2.3674-004 -2.8089-864 -1.6491-884 i s le -2.2643-887 -2.4381-806 -4.2646-866 -7.1423-806 e EPSXX 1 -1.2679-886
, E.2461-886 4.7794-886 4.2388-886 3.6167-886 2.9834-886 18 -1.1666-806 -6.2642-807 -6.1398-807 lee PAN EXAMPLE FROM J. OF APPL. MECH. MARCH 1971
-7.8662-887 -9.8186-007 N = 5.04 ee J TIME .88821943+005 PTIME .62747815+e83 PRESSURE .4cammama,se2 TEMPERATURE .14eSeese+es4ICYCLE e K 11 12 13 14 76 e 16 i V 6.6462-884 6.7289-se4 6.7945-804 6.7461-804 6.5821-804 f
W 3.8341-884 2.8983-884 3.3118-886 -1.4372-804 -3.1766-864 ! -2.8227+881 -1.8834+s81 -1.0388+881 -1.8968+S81 -2.6478+881 4 2.5583-802 1.2981-882 -1.7046-es4 -1.3380-802 -2.6147-882 ' j -1.8289-801 -1.5449-801 -1.4475-e01 -1.5636-8e1 -1.8688-401 3 3.3866-884 1.7591-884 2.e622-806 -1.7381-804 -3.39e4-se4
- 3.6335-884 1.9113-884 1.4847-806 -1,6266-864 -3.3801-884
] -1.0662-sel -1.9788-881 -2.8276-881 -1.9966-881 -1.8986-est i -1.4158-883 -7.3326-884 -2.8782-806 6.7776-884 1.3664-803 j -E.1764-804 -2.6106-884 -1.9842-812 2.6106-804 5.1764-004
-1.7568-800 -S.8667-e99 !
-6.7318-817 S.8657-899 1.7648-808 '
2.8121-805 1.4869-806 -1.3661-887 -1.5263-806 -2.8886-806
- -2.8086-806 -1.9198-806 -1.0321-686 -1.8432-806 -1.9681-806 TAUYY 1 -1.5337+ess -1.4170+883 -1.2621,883 -1.8668+883 -7.7906+S02
- TAUYY 2 -1.5185,883 -1.4838+883 -1.2619+003 -1.8863+893 -8.7433+es2 TAUYY 3 -1.4816+s93 -1.3789+003 -1.2614+S83 -1.1341+S83 -1.0879,es3 TAUYY 4 -1.4278+s83 -1,343E+ess -1.26e9+S83 -1.1982+003 -1.1432+es3 '
j TAUrY 5 -1.3625+S83 -1.2986+S83 -1.2683+883 -1.2472+S83 -1.261S+S83 TAUYY 6 -1.2543 883 -1.2445+003 -1.2596+s83 -1.2994+893 -1.3668+S93 TAUYY 7 -1.1369+S83 -1.1861+083 -1.2589+883 -1.3437+S83 -1.4293*e83 p TAUYY 8 -1.8002 883 -1.1288+003 -1.2684+883 -1.3783,883 -1.4833+8e3
- TAUYY 9 -S.6622+802 -1.8001+883 -1.2588+003 -1.482E+es3 -1.5198+S83 N -7.7205+882 1
TAUYY 1e -1.e491+8e3 -1.2577+8e3 -1.4161+883 -1.6397+e83 TAUXX 1 -7.4183+892 -6.8121+882 -6.182e+882 -5.2797+882 -4.3498+882 TAUXX 2 -7.3868+882 -6.7454+802 -6.1814+se2 -E.3926+es2 -4.6493+ee2 ! TAUXX 3 -7.1197+492 -6.6274+S82 -6.1864+882 -E.6751,802 -E.8987+882 TAUXX 4 -6.8498+892 -6.4638+882 -6.8991 8e2 -E.7998+SS2 -E.5996+S92 TAUXX 5 -6.4942+S92 -6.2684+s92 -6.8976+402 -6.8378+es2 -6.8849+s82 TAUXX 6 -6.8644+882 -6.e269+es2 -6.8968+S92 -6.2664+es2 -6.5122+es2 TAUXX 7 -E.5789+es2 -E.7853+892 -6.994S+492 -6.4682+882 -6.8648 882 TAUXX 8 -E.0747+882 -6.5591+s82 -6.0932+882 -6.6303+s82 -7.1336+892 1 TAUXX 9 -4.6254+S02 -E.375e+882 -6.8922+8e2 -6.7465+802 -7.3193+es2 4 TAUXX 18 -4.3276+e82 -5.2612+882 -6.0916+s92 -6.8123+0e* -7. 422e+eet e EPSYY 1 -1.2957-884 -9.5949-886 -6.6706-806 -4.8828-605 -2,33274Ja 18 -2.3317-885 -4.1251-806 -6.6424-896 -9.7194-806 -1.3161-804 i e EPSXX 1 2.8866-se6 1.1516-886 1.9249-Se7 -6.1899-807 -1.8126-806 le -1.8079-es6 -8.8326-887 2.8386-887 1.1716-886 2.1142-886 3 lee PAN EXAMPLE FROM J. OF APPt.. MECH. MARCH 1971 N = 5.04 ** ' TINE .00e21943 895 DTIME 17 .62747815+S83 PRESSURE .460sesse+ec TEMPERATURE .148680se+884ICYCLE e K 16 18 76 e 19 28 o e V 6.3e48-804 5.9184-884- E.4291-804 4.8462-804 4.1762-004
- i W -4.8577-884 -6.4623-884 -7.9348-e04 -9.2777-884 -1.e468-883 i -2.2793+891 -2.5696+e81 w
-2.8968+8s1 -3.2346+S81 -3. 56 74 +881 m
-3.8195-882 -4.9663-802 -6.8377-Se2 -7.8628-882 -S.0174-882 8 l -2.2967-891 -2.8440-801
-4.9462-804 -6.4820-804
-3.4548-881
-8.0641-884
-4.0936-881
-9.6686-804
-4.7237-881
-1.1317-883
( n 2
-E.8842-884 -6.7876-884 -8.2214-004 -9.6988-884 -1.0814-803
-1.7868-081 -1.6926-801 -1.6116-est -1.6171-901 -1.3942-881 2.8204-803 2.6397-883 3.2233-883 3.7669-883 4.2624-883
, 7.6537-884 1. sees-es3 1.2176-8e3 1.4142-863 1.6867-e83
}
2.5964-888 3.3923-e08 4.1342-808 4.7974-808 6.3826-888
-3.9368-886 -4.6373-896 -6.8683-806 -6.8681-806 -4.8187-866 i -2,2818-806 -2.68e1-886 -2.8194-806 -3.1418-806 -3.4683-086 >
TAUYY 1
-4.3363+S82
-6.3413+961 3.2993+002 6.6476 002 9.4923+0e2
-3.6829+0e* * ***" *** ' ar *** * 'a'a a**
TAUYY 3 -8.9396+882 -7.9458 882 -7.8638+882 TAUYY 4 -1.1247+es3 -6.2673+s82 -5.5348+882
-1.1296+983 -1.2471,083 -1.1718+883 -1.1971+e83 TAUYY 5 -1.2957+883 -1.3413+es3 -1.3895+es3 -1.4359+s83 TAUYY 6 -1.4193+e83 -1.4773+s83
-1.4828+s83 -1.5425+0e3 -1.5968 883 -1.6445+0e3 TAUYY 7 -1.5896+083 -1.5828+ee3 -1.6489+e83 -1.7878+ee3 TAUYY 8 -1.5738+S83 -1.7694+s63
-1.6528 883 -1.7229.se3 -1.7848+883 -1.8396+s83 TAUYY 9 -1.6184 883 -1.699e+883 -1.7715+e83 TAUYY le -1.6395+e83
-1.8364+883 -1.8913+083
-1.724e+e83 -1.7978 883 -1.8626+883 -1.9194+s83 1AUXX 1 -3.3191+882 -2.2294+s82 -1.2498+s82 -1.1339+881 8.8248+861 TAUXX 2 -3.895e+882 -3.1368+882 -2.3841,882 -1.6649+862 -9.9546,881 TAUXX 3 -4.7831+S82 -4.3835+0e2 -4.1175+882 -3.8886+802 -3.6836+e82 TAUXX 4 -6.5199+882 -E.5893+s82 -5.5618+0e2 -5.6429 882 -6.7313+882 TAUXX 5 -6.2191+s82 -6.4854+S62 -6.613e+882 -6.821e+882 -7.814e+s82 TAUXX 8 -6.7992+S82 -7.9975+0e2 -7.3879+se2 -7.6588+882 -7.8993+882 TAUXX 7 -7.2532+002 -7.6183+882 -7.954e+s82 -8.2563+882 -8,522e+s82 TAUXX 8 -7.5867+882 -7.9911+882 -8.3523+882 -8.6724+e82 -8.9519+S82 TAUXX 9 -7.8114+s62 -8.2384+se2 -8.6141 882 -8.9445+802 -9.2323+882 TAUXX 18 -7.9339,882 -8.3722+s82 -8.7551+e82 -9.0966+882 -9.3827+882 e EPSYY 1 -1.2494-005 -7.6448-806 -4.2113-886 -2.4187-886 -1.4872-867 18 -1.6881-884 -2.9526-804 -2.4265-884 -2.7896-884 -3.3334-884 e EPSXX 1 -9.7967-887 -7.8815-887 -6.9879-867 -6.2828-e87 -1.1981-886 le 2.9527-806 3.6818-886 4.3188-886 4.8749-886 5.3553-886 lee PAN EXA WLE FROW J. OF APPL. WECH. WARCH 1971 N = 6.04 ee TIME .88822943 8e5 DTIME .62747e15+ss3 PRESSURE .45808e8e+0e2 TEMPERATURE .14eSeeee+884ICYCLE 78 e K 21 22 23 24 e V 25 3.4336-884 2.6382-864 1.7846-884 8.9884-885 8.sese W -1.1468-883 -1.2268-883 -1.2842-883 -1.3197-883 -1.3316-883
-3.8736+S81 -4.1345+s81 -4.334e+s81 -4.4593+881 -4.582e+S61
-8.8781-882 -9.6898-se2 -1.0172-881 -1.0527-881 -1.8648-881 p -5.3475-801 -5.8122-881 ~6.2834-881 -6.4511-881 -6.5368-881 w
-1.2964-883 -1.4452-883 -1.5662-883 -1.6452-883 -1.6727-883
-1.1845-883 -1.2676-803 -1,3272-883 -1.3639-883 -1.3762-883
-1.2266-881 -9.9875-802 -7.8887-882 -3.6868-882 e.Sese 4.6988-083 5.8617-883 5.3356-883 6.5866-883 5.5648-883 1.7321-883 1.8478-883 1.9319-083 1.9829-883 2.8886-883 5.8756-898 6.2682-808 6.5534-808 6.7266-868 6.7846-808
-4.2768-885 -3.4739-806 -2.4512-866 -1.2679-805 e.0000
-3.7224-895 -3.9447-806 -4.1695-885 -4.2106-806 -4.2444-885 TAUYY 1 1.1522 883 1.2811 003 1.358e+s83 1.3991+883 1.4121+S83 TAUYY 2 5.8297+s82 7.5104+882 8.7392+882 9.4758+982 9.7197+s82 TAUYY 3 -4.8494+s82 -4.2317*S82 -3.7316+882 -3.4834+882 -3.2888+se2 TAUYY 4 -1.2186+s83 -1.2347+s83 -1.2456+s83 -1.2517+e83 -1.2537+883 TAUYY 5 -1.5119+S83 -1.6391+003 -1.6588+S63 -1.5786+003 -1.5746+883 TAUYY 6 -1.6449+s63 -1.7172 883 -1.7409+s83 -1.7554 883 -1.7683+883 TAUYY 7 -1.8834+883 -1.8389+S83 -1.8652+s83 -1.8813+883 -1.8867+883 TAUYY 8 -1.8854+883 -1.9231+883 -1.9509+S83 -1.9681 883 -1.9738+S63 TAUYY 9 -1.9392+883 -1.9782+883 -2.8871+s83 -2.8249+883 -2.e389+s83 TAUYY 18 -1.9682+883 -2.8879+s93 -2.0374*883 -2.0555+863 -2.0616+s83 e TAUXX 1 1.8868+882 2.5831+882 o 3.1535+e82 3.4978+e02 d.6125+882
- TAUXX 2 -3.8356+S81 1.5189+881 5.7584 061 TAUXX 3 -3.4937+s82 -3.3224+S82 -3.1831+S82 8.4958+881
-3.0914+s82 9.4442*881
-3.8593+s62 b
oo TAUXX 4 -6.8182+s02 -6.8722+882 -5.9156+se2 -5.94e9+882 -5.9492+882 8 TAUXX 5 -7.1888+s82 -7.3151+882 -7.4134+862 -7.4 732+ 882 -7.4933+882 TAUXX 6 -8.1954 082 -8.2715+S82 -8.3936+se2 -8.4683 882 -8.4934+s82 ( m TAUXX 7 -8.7481+se2 -8.9389+S82 -9.8655+ee2 -9.1488 882 -9.1768+882 TAUXX 8 -9.190s+882 -9.3828+882 -9.5251 882 -9.6125,882 -9.642e+802 TAUXX 9 -9.4777+882 -9.6768+882 -9.8248+802 -9.9145+se2 -9.945e+882 TAUXX 18 -9.6319+s82 -9.8344+882 -9.9842+ee? -1.8876+803 -1.8187+e83 e EPSYY 1 3.5891-886 8.2644-806 1.2617-805 1.5616-805 1.6676-Se5 18 -3.4438-e84 -3.7866-884 -3.9674-004 -4.8335-e64 -4.8766-884 e EPSXX 1 -2.4341-866 -3.9789-086 -5.3118-806 -6.1832-806 -8.4817-806 IS 5.7615-806 8.9897-986 6.3321-006 6.4811-006 6.5313-806 lee PAN EXAMPLE FRou J. CF APPL. WECH CH 1971 N = 5.84 ee
e K 1 2 3 4 6 e V 8. Sees 1.4592-884 2.8932-864 4.2773-884 E.5879-884 i W 2.3863-883 2.2861-es3 2.2261-883 2.1277-943 1.9934-es3
-7.1136+881 -7.8386+s81 -6.7891 881 -6.4196+s81 -E.9266+881 1.84s7-eel 1.0131-801 1.7338-881 1.6484-881 1.4518-901
-6.4586-8e1 -6.3297-801 -6.9828-e01 -E.4624-sel -4.8182-881 2.8782-003 2.e335-803 1.9644-883 1.7846-883 1.4536-883 2.2368-883 2.2186-es3 2.1596-483 2.8644-883 1.9348-303
- 8. sees -S.3618-882 -1.6896-Set -2.1889-881 -2.5819-861
-9.4383-8e3 -9.3182-003 -S.9676-883 -0.4141-803 -7.7802-883
-2.9848-983 -1.9829-803 -1.9319-883 -1.8478-883 -1.7321-es3
-6.7846-888 -6.7266-806 -6.6534-898 -6.2682-808 -E.8766-808 S. Sees 2.5149-886 4.8817-885 6.6753-806 S.8374-806
-7.5145-896 -7.4892-806 -7.1542-006 -6.6292-886 -6.s279-006 TAUYY 1 -2.4178+883 -2.4848+883 -2.3787+083 -2.3346+803 -2.2644+ee3 TAUYY 2 -2.3786+es3 -2.3689+s83 -2.34s2+0e3 -2.2928+883 -2.2279+8e3 TAUYY 3 -2.3461+sS3 -2.2968 803 -2.2679+883 -2.2222+es3 -2.1698+S63 TAUYY 4 -2.191e+883 -2.1822+S83 -2.1568+883 -2.1127+883 -2.8643,083 TAarYY E -2.s281+s83 -2.8121 883 -1.9882+883 -1.9496+883 -1.8979 303 TAUYY 6 -1.7582 003 -1.743S+883 -1.725S+S83 -1.6964+883 -1.6672+883 TAUYY 7 -1.187.,8e3 -1.1886+803 -1.1989+083 -1.1961*883 -1.2904 003 TAUYY 8 7.8872 8e2 6.6288+S82 5.5256 8e2 3.8163 882 1.717e+es2 TAUYY 9 1.7971+383 1.7347+403 1.7465+es3 1.6726+8s3 1.6488 383 TAUYY le 1.9313 883 1.9211 003 1.8897+883 1.8346+s83 1.7512+e03 TAUXX 1 -1.1859 883 -1.1988+883 -1.1666,883 -1.1486+883 -1.1866 083 TAUXX 2 -1.1652+es3 -1.1682 883 -1.1452+883 -1.1287,803 -1.e873+se3 TAUXX 3 -1.1263+es3 -1.1214+883 -1.1878+883 -1.8833+s83 -1.e611.es3 TAUXX 4 -1.seE6+ss3 -1. sees es3 -1.e473+ess -1.825e+883 -9.9486+002 y TAUXX 5 -9.7397+882 -9.6988+882 -9.5747 862 -9.3752 802 -9.1991 3e2 TAUXX 6 -S.2996 882 -S.2673,882 -S.1727+882 -S.8224+8e2 -7.8268+882 TAUXX 7 -E.6436 002 -E.8439+892 -E.6454+s82 -E.6488+es2 -E.6497+es2 TM mr 8 2.5787 881 1.4278+e81 -1.8837 8c1 -4.9434+ eel -1,3e97 8e2 TAUXX 9 6.3179 882 6.4781 982 6.e462+882 E.2964 802 4.187s+es2 TAUXX 1e 3.4443 802 S.3614+882 8.s631 882 7.4993+es2 6.6463+ee2 e EPSYY 1 -6.7559-804 -6.6451-894 -6.4811-884 -5.9885-884 -E.4635-884 IS 9.5365-886 9.2194-806 8.3849-806 6.8793-806 5.1134-806 s EPSXX 1 1.9869-896 9.9638-306 9.7314-886 9.3177-806 8.7573-886 18 -1.8416-806 -1.8348-806 -1.7543-886 -1.5978-886 -1.3593-806 1** PAN EXAMPLE FROW J. OF APPL. kECH. MARCH 1971 N = E.e4 ee TIME .2000645S+806 DTIME .3190e627+es3 PRESSURE .4580e888+882 TEnPERATURE .14eE8eee+e84ICYCLE 12e e K 6 7 8 9 18 8 V 6.8e29-804 7.9824-884 S.6634-004 9.6854-864 1.e346-383 W 1.3261-803 1.6294-883 1.4878-883 1.1629-803 9.s111-884
-E.3482 881 -4.7712 801 -4.1884+sel -3.5938 881 -3.seet,est 1.2753-881 1.s942-881 9.1628-882 7.4e27-Se2 E.6576-se2 4.1271-881 -3.4489-001 -2.7732-881 -2.1537-801 -1.6864-881 1.1797-883 9.2192-884 7.8333-864 5.2866-804 3.8396-884 1.7734-es3 1.5822-803 1.3658-883 1.1273-883 S.7s66-964 ,
-2.7533-881 -2.7618-801 -2.7803-881 -2.6588-881 -2.6844-est o
-6.8768-883 -5.9918-8e3 -5.8751-883 -4.1383-883 -3.1764-8e3 e
-1.5867-883 -1.4142-883 -1.2175-883 -1.9886-883 -7.6537-se4 e
-E.3826-808 -4.7S74-See -4.1382-888 -3.3923-808 -2.5964-008 $
S.8865-806 9.2329-896 9.0652-886 S.3949-885 7.1813-806 e
-E.3638-806 -4.7125-806 -4.1800-885 -3.5661-805 -3.9948-896 Z s
O TAUYY 1 -2.1838+803 -2.9911 883 -1.9924,883 -1.8883 883 -1.7758+s83 TAUYY 2 -2.1482+803 -2.s683 883 -1.9614+S63 -1.8598+863 -1.7476+se3 TAUYY 3 -2.9613 8s3 -1.9978+ss3 -1.9836.s63 -1.8445+883 -1.6967+883 TAUYY 4 -1.9633+883 -1.992S+ss3 -1.8158 883 -1.7218+es3 -1.6189+s83 TAUYY E -1.8357+883 -1.7645+es3 -1.6855+883 -1.6993+883 -1.5868+ec3 TAUYY 6 -1.6117+883 -1.5571+883 -1.4938+883 -1.4284+883 -1.3457+es3 TAl#Y 7 -1.2889 883 -1.1888+863 -1.1664+s83 -1.1249+ee3 -1.8995+e83 TAUYY S -4.6667 881 -2.4 4 46 + es? -4.1333+962 -5.6188+802 -7.1212+882 , TAUYY 9 ,1.34e6+883 1.s154+s83 6.e625+s82 1.8363+ec2 -2.3566+es2 T omv .a a s a i. Am t 1.4694 883 1.1813+083 6.9456+c02 1.8812+ee2
TAUXX 1 -1.8658 863 -1.0182+s83 -9.6764+882 Tum 2 -1.e465 8e3
-9.1391 082 -S.5486 882
-1.8886 803 -3.5497 882 -3.9687 882 -S.4884 882 TAa n 3 -1.8126 883 -9.8776+882 -9.1979 882 TALDtX 4 -3.68E8 882 -S.1253 882
-9.5835 482 -9.1494+882 -4.7169 882 -S.2311 882 -7.7878+892 TAUXX E -S.7876 882 -8.4195+8e2 -8.8124.Se2 -7.5747 8e2 -7.1175 8e2 TALIXX 8 -7.5387 882 -7.3882+882 -6.9499 882 -4.8445 882 TAUXX 7 -8.3184 8e2
-E.6296 882 -E.5439 882 -E.4548 882 -E.332e+S82 -E.2681 882 TAUXX 3 -1.9453 882 -2.5194 882 -3.8183+s82 TMW 9 2.7978 882
-3.4512+e82 -3.9216 882 1.3364 882 -2.1284+ese -1.2644 882 -2.4866+882 TM m la E.451e+882 3.9649+882 2.8756 8e2 2.5433 881 -1.4774 8e2 e EPSYY 1 -4.8685-464 -4.2428-884 -3.6128-es4 -2.9946-se4 -2.39ee-se4 18 3.7868-486 1.3886-80E 1.1445-ee7 -8.9068-806 -1.2693-806 e EPSXX 1 S.8793-ess 7.3162-ee4 6.4 944-ess 5.6862-886 4.6188-886 18 -1.0261-8e5 -6.1126-806 -2.3e62-229 -9.1362-487 -9.9896-887 lee PAN EXAWLE FRCtf J. OF APPL. ECH. MARCH 1971 N = E.84 ee TIE .388e64E8 888 DTIME .31900627 883 PRES $URE .45808086 882 TLurERATLTE 14eE80se.864ICYCLE 12e e K 11 12 13 14 15 e V 1.8822-883 1.1122-8e3 1.1235-883 1.1159-e83 1.8093-883 5 6.2569-884 3.4896-864 E.1347-se6 -2.3849-884 -E.2393-864
-2.8643 881 -2.3938 881 -2.3416 8e1 -2.4861 881 -2.6946 881 3.8785-882 1.9839-882 -1.e956-eeE -1.9979-882 -3.9156-492
-1.1864-881 -S.5339-882 -7.3996-es2 -3.4913-882 -1.1596-881 2.5696-884 1.3429-884 4.45e8-806 -1.2679-884 -2.5253-884 E.9921-884 3.1715-864 2.8438-806 -2.8245-884 -E.5875-884
-2.7944-881 -2.9715-est -3.8696-est -3.0064-881 -2.8524-881
-2.1964-883 -1.1379-ee3 -E.5929-eeE 1.0382-883 2.8839-883
-E.1784-864 -2.6186-884 -1.9442-312 2.6186-884 E.1764-e64
-1.7584-808 -S.8557-899 -S.7318-817 S.8E57-499 1.7586-808 E.3896-806 2.9332-896 2.2846-807 -2.9242-886 -E.46e5-896
-2.7411-886 -2.4726-806 -2.3413-886 -2.3281-896 -2.5992-896
- TAtJfY 1 -1.84E7 883 -1.4861 883 -1.2687 883 -9.5136+S82 -4.8949 882 TAttfY 2 -1.6212+e83 -1.4877+883 -1.2877 803 -1.0018 883 -4.4286 882 TAUYY 3 -1.5759 883 -1.434E+883 -1.2644 883 -1.8784 883 -S.9649.se2 TAttfY 4 -1.5876 883 -1.3843 8e3 -1.2638+es3 -1.1845 483 -1.114E+883 TAUYY E -1.4114,893 -1.3227 893 -1.2M 2 883 -1.2446 883 -1.28E1 8e3 TAUYY 8 -1.28e6 883 -1.2444 883 -1.25a6+883 -1.3211 8e3 -1.4129 8e3 TALffY 7 -1.1834+S83 -1.1554 883 -1.2559 8e3 -1,3811 883 -1.5867 883 TAUYY S -8.7788+482 -1.8622 803 -1.2537 883 -1.4267 883 -1.5725 883 TALFrY 9 -8.3444+482 -9.7945 002 -1.252S+es3 -1.4583 883 -1.6169 883 TALffY 18 -4.5883+482 -9.2498+S82 -1.251S+883 -1.4757 883 -1.6489 883 Tu rinr 1 -7.8733 882 -7.eEE1.se2 -6.0257 882 -4.7545 882 -3.24EE.882 TAUXX 2 -7.7428 882 -4.9432 802 -6.8223 882 -4.9383 882 -3.7761+882 TAUXX 3 -7.5434 892 -4.7947 882 -6.8164+892 -E.2292+882 -4.5448+8e2 T m nnr 4 -7.14s4 882 -S.5454 882 -8.8986 882 -E.5757 882 -E.3482 8e2 Tu nnt E -4.e453 882 -4.2847+S82 -E.9996,882 -E.9331 842 -6.873E+8e2 i TAUXX 8 -4.8686 882 -E.9182 882 -E.9900+s82 -6.2644.e42 -4.6744+882 Tmm 7 -E.3865 882 -E.5412 882 -E.9009+ee? -8,5486+882 -7. W .ee?
TAUXX S -4.4412 882 -E.1748.se2 -E.9734 882 -4.7716+882 -7.4 94 S +s82 e Tu nnr 9 -3.e937 882 -4.8449 882 -E.9671,882 -8.9288+S82 -7.7296 882 O I Tu nnt 18 -3.153a.882 -4.8722.Se2 -E.9636.se2 -7.8168 882 -7.8576.e82 l 8 EPSYY 1 -1.8296-884 -1.2971-884 -S.2795-ses -4.6342-8@S -2.3724-486 [ w I 18 -2.3943-895 -4.4398-895 -S.2831-805 -1.3429-884 -1.8465-884 co e EPSXX 1 3.4842-886 2.1458-806 6.5784-887 -S.8165-se7 -1.e486-Se6 18 -1.8812-806 -6.1428-887 6.2234-887 2.1178-806 3.4789-886 1 lee PAN EXAMPLE FRCtf J. CF APPL. hfCH. MARCH 1971 M = E.84 ee o TDE .18ee64Es+ee6 DTIME .31900627+S83 PRESSURE .4E400088+882 TEWERATURE .14eESese+884ICYCLE 12e e K 16 17 18 19 28 e V 1.e444-883 9.9866-864 9.4631-884 S.9414-844 6.9371-844 W -S.8846-864 -1.8637-883 -1.3496-883 -1.5338-883 -1.7324-883
-3.1388 881 -3.67e2. set 4.2781+Se1 -4.9173 881 -E.5528 841
-E.7464-882 -7.5482-882 -9.3657-882 -1.1232-481 -1.3127-841
-1.6183-881 -2.1986-881 -2.8428-881 -3.EE29-Set -4.2876-881
-3.8325-884 -E.3233-Se4 -7.1483-ee4 -9.4964-884 -1.2844-003
-S.3159-884 -1.1842-883 -1.3523-ea3 -1.5826-ec3 -1.7875-883
1 l
-2.7689-881 -2.7537-881 -2.8112-881 -2.8855-881 -2.SS44-est 3.8968-883 4.e781-Se3 E.8392-883 E.9436-883 6.8946-ee3 7.6537-404 1.8880-883 1.2175-883 1.4142-883 1.5667-883 2.5964-884 3.3923-800 4.1382-see 4.7974-See E.3826-808
-7.3553-80E -3.8527-406 -9.39el-SOE -9.6419-886 -9.26S4-406
-3.8e38-906 -3.8523-886 -4.2845-895 -4.8961-805 -E.4677-406 TAUYY 1 7.9434+881 s.8869 882 1.1898+e03 1.4647+883 1.8322+883 TAUYY 2 -2.8E44+ee2 1.5434 882 E.7938+ee2 9.9444*se2 1.3285+483 YAUYY 3 -7.3723 892 -E.9354 002 -4.E235 882 -2.90es se2 -9.9649+881 TAuvY 4 -1.1135.e83 -1.142E+s83 -1.1819+ae3 -1.2135 883 -1.23e6 Se3 TAUYY E -1.3E25 883 -1.4299 883 -1.5462 883 -1.5722.Se3 -1.8296+es3 TAurY 4 -1.5182 483 -1.6864+883 -1.6946 883 -1.7764 883 -1.eE41+ee3 TAUYY 7 -1.8264 883 -1.7257+483 -1.8227+883 -1.9133+483 -1.9963 883 TAttrY S -1.4971+483 -1.8064 883 -1.9186+883 -2.8069 883 -2.8967 883 TAUYY 9 -1.7474.e83 -1.0624+883 -1.984e+883 -2.8678 883 -2.1882+483 TAUTY 18 -1.7745 883 -1.8915+ae3 -1.9968+883 -2.1306+e83 -2.1948 003 TAUXX 1 -1.5436 482 1.7969 881 2.6252 882 3.8839+es2 E.4545 882 Tun 2 -2.5753+a82 -1.3623 Se2 -1.8643+881 1.2E21 882 2.7327+882 TAUXX 3 -3.9985+S82 -3.5457+882 -3.1252+as? -2.8EEs+es2 -2.1818+482 Tun 4 -E.3137+S82 -E.4888 882 -E.544e.882 -E.0442 882 -E.7529+882 TAurX 5 -s.3534+482 -4.8982+882 -7.8649+e82 -7.3847+882 -7.8439 402 Te n 4 -7.1464+s82 -7.8126*882 -8.86E3 882 -8.4464+402 -S.e678+es2
! Tmn 7 -7.7222+402 -3.2614 882 -S.7823+882 -9.2298+e#2 -9.8558+S92 TAUXX 8 -3.1343+es2 -4.7186 882 -9.2391+882 -9.7331 882 -1.818a.0e3 [ TAUEX 9 -S.4869 882 -9.883E+ee2 -9.5484+8e2 -1.e069 883 -1.8632+483 ) TAUXX 18 -8.EE23+482 -9.1986+482 -9.7139+882 -1.6234+883 -1.8715 303 s EPSYY Z -1.2589-885 -4.e396-ees -2.3354-887 1.3717-ess 3.2243-8e6 18 -2.4324-404 -3.8649-404 -3.8944-e84 -4.3541-884 -E.8124-804 8 EPSxx 1 -9.9006-e87 -S.9345-487 -2.2441-806 -e.8061-ess
> 18
-1.e3es-seE
.- 4.83ee-ass E.8636-886 S.5442-808 7.4136-ee8 S.1964-886 e lee PAN FN#LE FSGM J. OF APPL. RECN. MAeCM 1971 M a 5.04 ee l TIE .tese64Ea+ese DTIE .31908627+ee3 P9"N .4580000e+e02 TDdPERATLNIE .14eE8eeS+ae4ICYCLE 12e 1 e K 21 22 23 24 25 e v 5.7ee2-es4 4.3754-884 2.9628-884 1.4963-se4 8.sese l
3 -1.9815-es3 -2.8374-883 -2.1370-883 -2.1978-883 -2.2182-883 l
-e.1440 481 -4.8471 881 -7.8732* eel -7.3325.e01 ~7.4217+881
-1.4978-801 -1.0428-881 -1.7946-801 -1.8785-881 -1.9877-est
, -E.8281-881 -E.7e99-881 -4.2962-801 4.8658-801 -4.7867-881 1
-1.4948-883 -1.7548-883 -1.9696-e83 -2.1866-883 -2.1528-e03
-1.9825-403 -2.1835-883 -2.2471-883 -2.2786-883 -2.2918-883
! -2.7129-881 -2.3eE9-est -1.6775+301 -S.8323-882 ' S.Sese 7.7527-883 S.49E4+e93 9.8728-883 9.4391-es3 9.5447-es3 j 1.7321-e83 1.8478-883 1.9319-883 1.9829-883 2.8080-3e3 i 5.8754-808 S.2482-see 8.5534-800 S.7266-808 8.7846-800
-S.3964-886 ~S.9862-405 -E.8324-se6 -2.4384-806 S. sees
-E.9253-806 -4.3864-896 -6.E965-495 -4.7829-805 -4.8459-80E TAUYY 1 1.7513 e83 1.8386+883 1.8938 883 1.9251 803 1.9355 803
! TAurv 2 1.7858 883 1 TAurY 3 1.5432+483 1.1433+es2 1.87es.883 3.2234+882 1.7457 8e3 4.9291+8e2 8.8340.e82 1.79e6 883 8.4164 892 e TAUYY 4 -1.2344.es3 -1.2328 883 -1.2364 883 -1.2299+883 -1.2299 883 e TAurY E -1.4774+es3 -1.7173+883 -1.7483 883 -1.7688 8e3 -1.7747+893 g l TAUYY S -1.9144 403 -1.9678 883 -2.Se78+ee3 -2.8325 883 -2.64es+es3 , TAUYY 7 -2.8696+883 -2.1297 8e3 -2.1742 883 -2.2414+883 -2.2186+883 ~4 TAUYY S -2.1744 883 -2.2306 883 -2.28E8 483 -2.3145 883 -2.3242+883 ' l TAUYY 9 -2.2423+es3 -2.3e98+883 -2.3579+883 -2.3876 883 -2.3976+es3 O 1 TAUYY le -2.2746+ee3 -2.3467+ss3 -2.3964+883 -2.4266+483 -2.4367 883 I Te n 1 ' 6.6484+482 7.5346 882 8.9964 862 S.4686 882 S.5866+S82 TAuxX 2 4.1478 882 E.2781 882 6.0496+482 6.4911.Se2 8.6339 882 TAuxX 3 -1.4778 882 -S.6865 881 -3.6543+ael -3.5716+ess 7.8991+ess TAuxX 4 -E.7599 882 -E.843e+8e2 -E.8186+8e2 -E.8162 882 -E.8185 882 l TAUKX E -7.9337 882 -S.1482.Se2 -8.2979 862 -8.3973 882 -8.4312 882 TAuxX 6 28eE+882 -9.4758+ee? -9.6821+es? -9.8897 882 -9.852S+882 v +.=v v -9. a+w.mi -1.8342 eet -1 MM N4 -1 8 M 1.Mi -1 87A1+ N 4
TAUXX 8 -1.8591 483 -1.8922 883 -1.1164.Se3 -1.1315 483 -1.1365 883 TALDOC 9 -1.e951 883 -1.1295 883 -1.154 7.se3 -1.1781 883 TAUXX 18 -1.1753 883
-1.1143 8e3 -1.2493+ess -1.1754 883 -1.19e7 883 -1.1959 883
# EPSYY 1 E.1886-ees e.9784-ses S.4371-ees 9.3425-ses 9.7093-seE 18 -E.83ss-e64 -e.1942-864 -e.8312-e64 -6.9111-884 -7.8874-884 e EPSXX 1 -1.3679-886 -1.See6-ses -1.7835-ses -1.8496-e#5 -1.8757-806 18 S.8925-806 9.4885-886 9.8939-806 1.8153-406 1.8241-806 ThE TU8E MAS C N ED AFTER .11848215 886 HOURS BASED ON YIELD LItsIT Ka 49Ja 1 lee PAN EXAhPLE FRCas J. CF APPL. ECH. hAACH 1971 N = $.64 ee TIE .11848215+886 DTIkE .2123e349-882 PRm *E 454e0008 882 TEWERATURE .34458ece+844ICYCLE e K 1 2 E88 3 4 5 8 V a.sese 1.5444-883 3.99E9-883 4.5634-883 E.9392-883 W 2.4298-882 2.4833-882 2.3257-882 2.2819-802 2.8386-882
-3.1434 892 -3.8343+882 -2.7517 882 -2.3558+S82 -1.9343+882 2.8798.e00 2.5857+see 2.2518 888 1.8113+88e 1.3417+ese
-1.2482-482 -1.2836-892 -1.8091-892 -7.3198-e03 -4.8E95-883 3.1913-884 3.1446-884 2.9806-884 2.4174-e84 1.8288-884 2.3988-892 2.3733-882 2.2966-882 2.1787-482 2.8196-882 a.8088 -3.9144 808 -6.4433 80s -7.3518+e88 -8.9788 888
-1.2317-881 -1.1918-881 -1.8798-881 -9.1944-882 -7.4347-882
-2.8886-883 -1.9829-883 -1.9319-883 -1.8478-883 -1.7321-883
-4.7844-ess -4.7264-ese -4.5534-308 -4.2682-808 -E.8758-800 8.8888 3.3478-884 E.8848-884 8.8541-484 8.4588-884
-2.4932-806 -1.8388-464 -2.1341-884 -2.1214-884 -1.4815-884 TAUYY 1 -1.s723+eed -1.8478 864 -1.8413+e84 -1.5454 884 -1.5422 884 TAUYY 2 -1.8172+484 -1.8115 864 -1.58E3.SS4 -1.5284+864 -1.4449+894 TAUYY 3 -1.5114 464 -1.5461 884 -1.4777 884 -1.4198+884 -1.3353 884 TAUYY 4 -1.334s.e64 -1.3312+e64 -1.3815+884 -1.2419+884 -1.1586+e64 TAUYY E -1.8413.es4 -1.831e+464 -9.96e4 883 -9.3274 883 -8.4631+e83
, 3, 14UYY S 4.2308 883 4.1892+883 3.4398+s83 2.7894+883 1.8788+883 TAUYY 7 1.2368 494 1.2319 884 1.2119+a84 1.1849+884 1.e918+484 TAUYY S 1.44E7.e84 1.442S+884 1.4212+e84 1.3719+884 1.2982+884 TAUYY 9 1.5459+e64 1.5424+8e4 1.541s.e04 1.4917 884 1.4152+894 TAUYY le 1.8271.e64 1.8234+884 1.082S+884 1.552S+864 1.4762+884 TM W 1 -7.8692 883 -7.8288+883 -7.4658 883 -7.1348 483 -8.6566+483 TM n 2 -7.4154+883 -7.3738+883 -7.2981,883 -6.875E+883 -4.3968+883 TAUXX 3 -e.9293+8e3 -a.8843 883 ~4.7131+883 -6.3774+883 -E.8982.Se3 TM W 4 -4.1296+883 -4.8787+883 -E.8969 883 -E.5553+883 -E.e774+aS3 TAUXX E -4.7063+e83 -4.8417+es3 -4.4362+883 -4.8648+883 -3.8296 883 TM W 8 S.7464+482 8.3718+882 7.8815+882 4.6878+se2 1.8121 8e2 TAUXX 7 E.5824+es3 E.52Se+s93 E.3496+883 E.8965+883 4.6165+883 TAUXX S 8.5859+883 4.5335 883 6.3958 803 8.1956 883 E.6698+883 TAUXX 9 7.1285+483 7.8972*883 6.9E93+883 S.6849+883 6.2242*883 TM n le 7.4134+e83 7.3827 883 7.2458 883 6.9487+883 6.5868+883 e EPSYY 1 -8.9674-e03 -4.8914-883 -E.9248-es3 -4.8479-883 -3.8968-403 to 4.8423-883 4.4422-883 3.8864-883 3.9661-883 2.2344-883 e EPSXX 1 1.8882-884 9.9887-885 9.5848-806 S.9269-806 S.8218-885 l 18 -1.84E3-404 -1.8373-884 -1.8876-864 -9.4989-8e5 -8.6578-806 lee PAN NN FROM J. OF APPL. ECH. MARCH 1971 so N = 5.84 ee o TIME .11848215.ess DTIME .212343e9-882 PRESSURE .4Edesse8+882 TEWERATURE .34essess.884ICYCLE ESS 'o e K e V 6 7.2008-883 7 8.3278-883 8 9.34E5-883 9 1.8124-882 le 1.8775-882 b ao l W 1.8435-882 1.6235-8e2 1.3845-882 1.1311-482 S.6498-883 8 I -1.545e+882 -1.2e26+882 -9.8718 881 -8.7896+S81 -E.8664+881 ( i 9.2229-801 E.9EE9-881 3.8698-881 2.1883-881 1.2518-881 o
-2.8672-883 -2.8845-883 -1.5943-883 -9.9782-884 -7.8169-864 1.2532-884 7.9129-095 4.8573-805 2.5353-896 1.1869-865 l 1.8283-882 1.6117-882 1.3765-882 1.1244-882 8.6197-883 l -E.7616+ese -4.212S+s88 -2.8378,804 -1.7951+see -1.8655+S0s
-E.7922-se? -4.4159-882 -3.3319-882 -2.4833-882 -1.8496-882 l
-1.5887-883 -1.4142-883 -1.2175-883 -1.sese-se3 -7.6537-864
-E.3826-##8 -4.7974-ess -4.1382-888 -3.3923-sea -2.5964-808 i E.7183-es4 4.9452-884 4.tes7-se4 3.e351-se4 2.2512-864 l -7.2248-ees -3.4933-e#5 -2.4862-ec5 -1.7889 8e5 -1.9588-805
l l l I TAttrY 1 -1.481S+364 -1.2911 064 -1.1778+864 -1.8576+004 -9.3251 883 TAUW 2 -1.3438+484 -1.2325 864 -1.1178+es4 -9.9692+s83 -S.7188 883 TAuYY 3 -1.2334+s84 -1.1217+884 -1.e862+s64 -3.8382+883 -7.5884+883 TAUYY 4 -1.064s*884 -9.4517+383 -8.3873 883 -7.8664+e83 -E.8872+883 TAUYY E -7.5843+es3 -4.541S+383 -E.4999+883 -4.4449+S83 -3.5452 043 TAurY a E.6188 882 -1.7748+882 -4.4814+e82 -E.447s.882 -E.6714+ee2 TAUYY 7 9.92e1 883 8.5596+883 8.EE46*es3 4.3512+8e3 2.8346+s83 TAUYY S 3.1992 884 1.8834+S84 9.5984+383 S.2117+S83 8.1879+es3 TAUYY 9 1.3134+s04 1.2648 864 1.8863+S84 9.6447+s83 8.2814+es3 TAUYY le 1.3798+004 1.2675 864 1.1546+s64 1.0314 904 8.9833+es3 TAuxX 1 -e.e752+es3 -E.4314 483 -4.7661+se3 -4.9831+ee3 -3.4209 883 TAUXX 2 -E.8159+S63 -E.1747 883 -4.5123+Se3 -3.8349*es3 -3.1868 883 Tu mr 3 -E.3292 883 -4.6884*es3 -4.e368+es3 -3.3761 003 -2.7631 883 TAuxX 4 -4.512E+883 -3.9491 803 -3.2896+883 -2.6412+8e3 -2.1444 883 TAUXX E -3.1347.es3 -2.8441 8e3 -2.1462+s83 -1.6928,843 -1.3323,083 Tu rr1r s -1.3737+s82 -3.2586+8e2 -3.7841+a82 -3.6857 882 -3.4795+e02 l Tu nnt 7 3.8462*883 2.8996 883 1.9287+883 1.1942+es3 7.3364+es2 l TAUXX S 5.8964+883 4.3927+883 3.5916+s83 2.6679+983 1.7958 483 l TAUXX 9 5.6E89 883 4.9911+883 4.2966+883 3.5893+8e3 2.8494 883 E.9414+es3 E.2792 843 4.5954+883 Tunnt le 3.8675+883 3.e243 003 8 EPSYY 1 -2.8572-es3 -1.8264-883 -1.2134-883 -7.8686-es4 -E.e369-se4 18 1.4732-883 S.6772-884 4.8731-884 2.2466-864 6.4332-895 e EPSXX 1 8.fe148-ees E.8844-ee6 4.418s-ess 3.1282-ees 1.9955-895 18 -7.5731-406 -4.2966-496 -4.9758-805 -3.5143-885 -1.7635-006 lee PAN Ara *t E FROM J. OF APPL. ECH. MARCH 1971 N = 5.84 ee TINE .1184821E+886 DTIME 12 .212343e9-es2 PRESSURE .45888888+s82 TEWERATURE .34eE80ee+s84ICYCLE E88 e K 11 13 14 15 8 V 1.1251-882 1.1548-e82 1.1662-482 1.1593-862 1.1339-882 W E.9549-443 3.1785-883 3.7476-864 -2.4386-883 -E.24ee-es3
-3.3e77+s81 -3.8861+ Set -2.7279+s81 -2.9994*8e1 -3.8118 881 D
m 7.6425-882 3.2894-882 4.8912-884 -3.1993-882 -4.9342-802
-4.9618-864 -2.2669-484 -4.5938-896 -2.5562-806 -1.e482-886 4.2967-806 1.1394-886 1.8955-887 S.2831-e89 -2.8054-899 E.9131-es3 3.1486-883 3.4737-884 -2.4488-883 -E.2783-es3
-S.5825-081 -E.1758-881 -4.8542-8e1 -E.1816-881 -S.4839-881
-1.24EE-es2 -7.2954-883 -2.2574-883 2.7954-883 7.9981-e@3
-E.1784-e64 -2.6186-864 -1.9842-812 2.8185-884 E.1764-864
-1.7568-eet -S.8557-889 -8.7318-817 8.8557-809 1.7548-8e8 1.5957-064 S.4288-896 2.4823-806 -8.0369-805 -1.5914-864
-2.4548-305 -2.6291-805 -2.7451-805 -3.3843-805 -E.6443-806 TAUYY 1 -7.993E+es3 -4.4798+883 -4.8467+e03 -2.2812+083 4.8936+e#2 TAUYY 2 -7.3915+883 -E.941e+883 -4.233e+es3 -2.2197 883 7.6748+S81 TAurY 3 -8.3112 883 -E.8844 883 -3.5962+883 -2.8966+883 -E.1064+S82 TAUYY 4 -4.7781 883 -3.7299+883 -2.7514+S83 -1.8749+S83 -1.1284+883 TAUYY E -2.8828+883 -2.1977+es3 -1.771e+883 -1.5657 303 -1.5722+883 TAUYY 8 -E.2394+382 -E.3433*e92 -7.4679+882 -1.1829 883 -1.SS26+es3 TAUYY 7 1.9647 8e3 1.1268+883 2.3398+S82 -7.6494+482 -1.8259+883 TAUYY a 4.2272 883 2.6123 883 1.e786+883 -3.6847 8e2 -1.714E+ee3 TAttrY 9 8.9847 883 3.7752+483 1.7174+883 -4.7799+881 -1.563e+883 $
TAUYY 18 7.124e+S83 4.4717+se3 2.9919,803 1.4844 862 -1.4514+883 e c~ Tu nnr 1 -2.9831 8e3 -2.1968 883 -1.5348+Sc3 -7.8634+S82 6.e784+881 $ TAUXX 2 -2.5927 883 -2.8221*883 -1.4223+083 -7.7189+S82 -6.8904+C21 s TAuxX 3 -2.2282+353 -1.7213+s83 -1.2384+s83 -7.4148,882 -2.4987 882 2: TAUXX 4 -1.6995 883 -1.3148+883 -9.7665+882 -6.9046 8e2 -4.541E+s82 N TAUXX E -1.e498*e83 -8.2965+S82 -8.8185 882 -6.1678 8e2 -6.290E+s82 O TAuxX 8 -3.3339+s82 -3.8658 802 -3.739e+s62 -E.2432+es2 -7.4949 882 TAuxX 7 4.5484+882 2.1993+ee2 -7.983E+861 -4.2247+882 -8.1387+ee2 TAUXX a 1.1726 883 6.7077+382 1.7487+082 -3.2518+8e2 -8.3296+s82 Tu nnr 9 1.74S2+se3 1.8277+e83 3.6693+se2 -2.4595+862 -8.2944 882 TAuxX 18 2.e956+es3 1.2496 883 4.7953+962 -1.9745 002 -8.2e89+e42 8 EPSYY 1 -3.162e-ee4 -1.8672-844 -9.9373-8@5 -4.8262-865 -1.9966-305 18 -1.6939-ee5 -4.7836-945 -9.7324-965 -1.8306-004 -3.1118-se4 e EPSxX 1 1.1339-ee5 6.3833-ee6 1.3858-606 -6.2816-0J7 -2.1938-806 w -9ee"-*M -6.6377-887 1.1964-006 4.8974-e06 1.e562-ees
.. _ . - . . ~ ~ ~ - - _ - - - - ~ ~ .. _ .- . . - - - , .
*** PAN m wLE FROM J. OF APPL. MECH. MARCH 1971 M = E.e4 ee l TIME .11840215+88e DTIME .2123e389-se2 PRESSURE .4Easesse+es2 TEMPERATURE .14eSeese+es4ICYCLE Ese
- e K 18 17 le 19 2e
- e V 1.8982-882 1.0295-892 S.E342-883 W
9.4926-883 7.4875-883
-8.8889-e83 -1.8715-882 -1.3336-882 -1.5831-892 -1.8155-892
-E.114S+S81 -4.92e9+881 -9.372S+S81 -1.2881 8e2 -1.8396+s82
-1.2261-881 -2,1152-881 -3.5776-891 -E.8894-881 -9.e827-801
-1.5558-006 -4.9429-ess -2.1798-884 -4.8635-884 -8.4801-884
-E.4441-808 -3.9834-887 -1.5967-896 -4.8546-888 -1.1835-806
-0.0643-883 -1.8704-882 -1.3429-882 -1.5954-882 -1.8318-882
)J -1.0333+8ee -1.7414+ese -2.7722+8ee -4.1837,808 -E.682e+e00 l 1.3453-492 2.9393-882 2.8876-882 3.9645-802 E.3389-882 7.4637-8e4 1.8888-883 1.2175-883 1.4142-883 1.5467-803 2.5984-800 3.3923-800 4.1382-800 4.7974-e88 E.3426-800 ! -2.2817-884 -3.9923-894 -4.2063-884 -E.2928-894 -E.8082-884 l -S.0785-896 -1.1734-e04 -1.5600-894 -2.8873-894 -2.3492-894 TAUYY 1 2.4347+es3 3.374E+ess 5.1961+403 8.4897+S93 7.0002 803 4 TAUYY 2 2.3037+4e3 3.3467+ae3 E.1822+883 8.4294+s83 7.7883+403 TAUYY 3 1.3396+ess 3.49e1 403 4.9722+s83 8.2231+es3 7.4559+e83
, TAIMY 4 -2.8983 892 1.9979+ess 3.1964+S83 E.2977+e03 8.7329+S83 TAUYY E -1.8644 803 -1.7222+483 -1.7398+s83 -1.8958+483 -1.2475+es3 1 TAUYY S -2.5414+e83 -3.440s+e03 -4.5108 803 -E.543E+ess -4.4569,883 i TAUYY 7 -2.9497+883 -4.1427 883 -E.352S+e83 -4.4459 893 -7.5888+e93
] TAUYY S -3.8123+883 -4.3Gle+S83 -E.5491+s83 -4.7727,883 -7.9472+e83 TAUYY 9 -2.945s+883 -4.282S+493 -E.5934+e03 -4.854E+e83 -8.1e88+883 TAUYY 18 -2.873E+403 -4.2358+S93 -E.5731+803 -4.8692 883 -0.1549+e83 TAUKX 1 9.961s+es2 1.8672+es3 2.8886*e83 3.2984+883 3.9079+803 TAUKX 2 7.9529+482 1.894S+883 2.4947+403 3.1983+S83 3.8888+883 i y Tm W 3 3.4285+e82 1.1861 483 2.1171+es3 2.9182+483 3.829e+083
- - Tmm 4 -1.9634+882 2.1279+892 S.771S+892 1.8828,883 2.7974+883 I e TAuKX E -4.7se1+es2 -7.2782+492 -7.8824+e02 -7.9389+e82 -4.9033+es2 i TAUKX S -1.e392+S93 -1.4854+e83 -1.8596+e03 -2.3626+883 -2.8431+883 i TAuKX 7 -1.2619+883 -1.792s,ess -2.3921 883 -3.881S+s83' -3.545e+e83
~
TAUKX S -1.3731.es3 -1.9098+ess -2.4475+883 -3.2969+e83 -3.9241+883 i l TAuKX 9 -1.43e4+es3 -2.esee,ess -2.7711+es3 -3.4434 803 -4.8985+e03 ' TAuKX 18 -1.4496+es3 -2.1233+883 -2.8246+883 -3.Ee98+es3 -4.1741+893 i e EF3YY 1 E.See7-ses 1.982s-es4 4.4443-8e4 8.2e17-894 1.3728-803 I le -4.9812-894 -7.7521-884 -1.1968-883 -1.9863-893 -2.8310-883 e EPSXX 1 l
-1.5807-885 -3.20E4-806 -4.5986-896 -E.79E9-896 -4.9649-895 '
le 1.8536-886 2.8989-886 4.8828-885 E.2489-806 8.356E-886
- lee PAN EXAwtE FROM J. OF APPL. MECH. MARCH 1971 N = E.e4 ee TIME .1184021E+ess DTIME .21238309-se2 PRESSURE .45e88888+882 TEMPERATURE .14essese+S941 CYCLE Ese
! e K 21 22 23 24 25 4 e V S.1372-883 4.7383-803 3.2269-8e3 1.6366-e93 e. sees ; W -2.8258-882 -2.2946-882 -2.3467-882 -2.4436-802 -2.4839-082 ' 1 -2.8871+882 -2.5254+892 -2.9641+882 -3.3184+482 -3.1877+e82
' -1,3166+S88 -1.0183*ees -2.4586+808 -3.7762+S98 -7.3722+80s
-1.5446-8s3 -2.7851-883 -4.7453-883 -1.9583-882 4.560s-801 e
- -2.2648-896 -E.1559-895 -2.2486-894 -3.6752-883 -6.2227-882 o
-2.47E3-802
-2.e458-882 -2.2298-892 -2.3754-882 -2.5139-882 e
! -8.4237+888 -4.8422+80s 2.5481+See 1.973E+881 8. sees * , 8.9990-882 3.7321-893 S.9325-882 1.8478-883 1.1449-881 1.9319-883 1.8465-801 1.9029-es3 2.9918-881 2.8088-883
$i '
E.8756-888 8.2682-888 8.5534-800 6.7266-808 6.7846-80s Z a -8.4880-894 -S.3613-884 -4.5317-894 -4.9274-884 8. esse N l -1.3663-894 8.4490-804 3.9828-883 1.8192-882 4.7296-892 TAUYY 1 9.0001+e83 1.e859+S94 1.4938+S94 2.84e1,094 4.6423+S94 j TAUYY 2 s.9419+e83 1. esse +884 1.458e+004 2.54E7,894 4.5263+894 TAUYY 3 8.8168 803 1.8196+S94 1.3846+S84 2.4174,884 4.2962+004 TAUYY 4 7.9498+es3 9.2426+es3 1.245E+004 2.1527 884 3.8897+es4 l TAUYY E -3.379e+S02 1.182e+es3 4.403sese3 1.4242 884 2.964E+864
! TAUYY 8 -7.36es es3 -0.37ss+eS3 -1.3104+004 -1.5889 884 -2.8643+004
) TA
-.UYY 7 -8.6282+S83 -9.9600+883 -3.8422+s84
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d TAUYY 9 -9.3554+s93 -1.1822+884 -1.4788+884 -2.5744+s64 -4.5806+884 TAUYY le -9.4568+e83 -1.1194*SS4 -1.5847+884 -2.6402+884 -4.6199+e94 " TAUXX 1 4.8368+883 E.4468+e03 7.2323+883 1.2459+884 2.2483+e64 TAUXX 2 4.5175+S83 E.3822*883 7.8182 883 1.2866+S84 2.1861+S84 , TAUXX 3 4.2554+S93 4.9942+883 8.5788+883 1.1245+884 2.9583+S84 i TAUXX 4 3.5988+e83 4.3379+883 E.7206+883 9.7839+883 1.8288+884 1 TAUXX 5 -4.8588+e82 -8.7787 881 9.2978+S82 4.3633+883 1.2278+S94 TAUXX S -3.3191+ess -3.024e+s83 -4.5716+883 -8.8126+883 -1.22E7+e84 L TAUKX 7 -4.1529+es3 -4.7997+883 -8.8189+883 -9. 8618+e83 -1.8818+s84 TAUXX 8 -4.5337+ess -E.2591 883 -6.7269+s83 -1.1296+sS4 -2.8486+894 i TAUXX 9 -4.7326+e83 -E.5883+883 -7.1238+S83 -1.2894*e64 -2.1788+e84 TAUKX 15 -4.0268+es3 -E.6299+SS3 -7.321S+S83 -1.2493+864 -2.2356+s84 e USYY 1 2.1188-803 3.8178-883 4.2625-883 7.8747-883 1.4963-802 Is -3.8757-803 -4.9877-883 -6.4498-883 -9.4577-883 -1.7234-882 . e USXX 1 -0.se68-886 -9.1892-895 -1.1317-e04 -1.8397-884 -3.4214-884 i le 7.3867-805 S.4987-805 1.8611-884 1.7478-864 3.3867-884 l l 1 4 'I k j N o i i t 1 O V W CD 8
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SUSROUlINE UFIOR9(IORD.NCBD.N)
- 2. SIM EN S ION EOR 3(NCRS) 3.
4. C*ee*.*****e.........***e****.e**************ee.e**...e C GENERalES 14 C00Rb!NATE$ FOR EACM NODE P ELENENT TYPE 4
- 5. Ca****e..........................e......e ....ER .........
___ 4. a = D.775
- 7. N = 0 0005 _ _ _ _ . . - . . .
- 8. G=W #A 9 C = ASIN(1.03/90.0
- 10. Ca.......ee...ee.......................................**e
- 11. TH1 = 30AD(2)*C
. . _ _ . 12 n2 1 10Att11 __
- 13. T2M = 2.0*TM1 _ _ . __
- 14. 0= 1.C + Get C05(T2N) - T2MesIW(T2M) 3 15 Cao.e***.***e.***.*...e .ee..........................
- 16. STH = $lN(TH1)
- 17. CIN = E05(TM1)
_ _ . _ lla a = a. f _1 Q_i_ E t C03112 RI.1
- 19. Cee... eee.eeen.....eeeeeeeeeee.....eeeeeeee.e...... . _ _ . . _ . _ _ _ . _ _ _ _ _ . , _ ,
- 20. XORD(1) = R*TM1
- 21. x000(2) = TH2
- 22. MORD(3) = R*5dH
, 23. 200 D (4 ) = (CIM
- Ge( CTH*EOS(T2M) - 2.0
- 5 f M *$ 3 N(T2 H))) / D s- 44 Jiot tli) =
0.Q_ . _ _ ____
- 25. NORD(6) = TM2
- 26. XORD(7) = 0.0
- 27. NOne(8) = 1.0 3 28. MORD(9) = A*CTM
- 29. MORD(1C) = -( STM + G.( $1M.C0$(T2H) -
2.0ACTHaSIN(12m)))/ 3
.. _ . _... _.}0. NORL(11) = 0 .0 _
- 31. x0Re(12) = 0.0 _ _ ,___, __ . , _ , _
32 x0Rp(13) e 0.0
- 33. n0Rs(14) = 0.0
- 34. Ca.*********e.****** **.eeeeeeeeee...e................
- 35. RETURN
- 36. END e
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-~~ _ _ . _ . - _ .. . .. . ...
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** WARNING ** - NODE 13 APPEARS AS TIES NODE IN TIE
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** WARNING . - N3et 9 Ame ALs0 04 e0UNBaRT COWeITION List (ENTRT Wuns E R 42 )
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