ML20077G853
| ML20077G853 | |
| Person / Time | |
|---|---|
| Site: | Limerick  |
| Issue date: | 05/17/1983 |
| From: | Davidson N, Joel Jenkins, Klutts J PATEL ENGINEERS |
| To: | |
| Shared Package | |
| ML20077G840 | List: |
| References | |
| PEI-TR-83-15, PEI-TR-83-15-R-A, NUDOCS 8308090029 | |
| Download: ML20077G853 (174) | |
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- i. . REVISION A QJ
.i TECHNICAL REPORT !,
PEI-TR-83-15 f APRIL 26, 1983 j REVISION A i SEISMIC QUALIFICATION ANALYSIS OF CLOW 6-INCH WAFER STOP VALVE JOB NUMBER 82-2053-02(N),-03(N) lR ITEM No. 1.3, 1.13 6"-HBB-BF-AO-57-121 6"-HBB-BF-AO-57-131 ' 6"-HBB-BF-MC-57-109 I 6"-HBB-BF-MO-57-162 6"-HBB-BF-MO-57-164 i :
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!I BY [ N. ALLEN DAVIDSON PREPARED FOR BECHTEL POWER CORPORATION [ FOR l PHILADELPHIA ELECTRIC LIMERICK PLANT IN ACCORDANCE WITH BECHTEL SPECIFICATION NUMBER 8031-P-144, REVISION 1 Work Performed Under Clow Purchase Order Number 30-10469 Bechtel Purchase Order No. 8031-P-144-AC, Items 1.3 and 1.13 Patel Job Number 8220 for Clow Corporation, Engineered Products Division Westmont, Illinois t .p l' ; I l' i
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Report No. PEI-TR-83-15 , Page No, i REVISION A i . v t' REPORT NO.: PEI-TR-83-15 PREPARED BY: #,M/I O N. Allen Davidsen
- APPROVED BY: <(
ohn .Jehns,Vice-President Q.A. REVIEW: icB F/j;77_
Jo/ce Kluttsi Quality Assurance Administrator ORIGINAL ISSUE: April 26, 1983 I
loo , REVISIONS REV. REV. REV. CHECKED Q.A. DESCRIPTION OF CHANGES NO. DATE. BY BY BY AND PAGES REVISED
! A 5/17/83 JF JK Page iv - Change " Input" to RP YL " Analysis" and " Frequency "
to "Model"0 Page 8 - Change '350 F" to "340 F" l l l Page 15 - Change "350 F" tio "340 F'.' Page 28 - Change "A" to "D". Appendices Title Page - Change
. " Input" to " Analysis" and
" Frequency" to " Modal".
Page B1 - Change "Comination" to
! " Combination".
Page B3 - Change "18 inch" to I
"6 inch".
l Page B4 - Change "18 inch" to [ , "6 inch". 9 Page B68 - Change "18 inch" to "6 inch". l' TEI Form No. 6il - 7/1982 patel engineers huntsville, clabomo
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f. 1 Report No. PEI-TR-83-15 Page No. ii I CERTIFICATION OF CONFORMANCE g This is to certify that the Clow 6-inch Wafer Stop Valve described in Patel Engineers' Technical Report PEI-TR-83-15 has bcen evaluat'ed to determine its compliance with Bechtel Power Corporation Specification 8031-P-144 Revision 1 as described herein. The information contained in this report is the result of complete and carefully conducted analyses and to the best of my knowledge is true and correct in all respects. i
& MW I Robert Parker Professional Engineer Registration No. 13143 State of Alabama O' .
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4 1 Report No. PEI-TR-83-15 , x Page No. iii ABSTRACT f* l- .. A seismic qualification analysis was conducted to verify the structural in-tegrity of the Clow 6-Inch Wafer Stop Valve, Job Number 82-2053-02(N),-
. 03(N), for Bechtel Power Corporation for use in Philadelphia Electric Limcrick Nuclear Plant. A finite element model was developed to simulate valve ' components. The model was subjected.to static seismic accelerations plus normal operating load environments and were shown to conform to the ASME Section III - 1980 Edition through and including Summer 1981 Addenda as described in Bechtel Power Corporation Specification Number 8031-P-144, Revision 1.
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Sf . ] i Report No. PEI-TR-83-15 *
. x Page No. iv REVISION A I i
TABLE OF CONTENTS PAGE 1.0 INTRODUCTO RY
SUMMARY
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 l.1 Introduction............................................... I 1.2 Sunna r y o f Re s u l t s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I 1.3 Conclusions................................................ 5 1.4 Limitations................................................ 5 2.0 DES CRIPTION OF 6-INCH STOP VALVE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 3.0 DESIGN ENVIRONMENT SPECIFICATION................................ 8 3.1 Seismic Environments....................................... 8 3.2 Ope r a t iona l Envir onme n t s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . C 4.0 TECHNICAL APPR0ACH.............................................. 9 l.- 4.1 General................ ...................................
4.2 Finite E lement Repre sent ation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 9 4.3 Modal Analysis............................................. 10 4.4 Static Analysis............................................ 10 4.5 Stress Analysis............................................ 11
5.0 DESCRIPTION
OF MATHEMATICAL MODEL............................... 13 6.0 RESULTS OF VALVE FREQUENCY ANALYSIS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 7.0 RESULTS OF VALVE STRES S ANALYS IS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 l 8.0 DEFLECTIONS OF MAJOR COMPONENTS................................. 27 t t
9.0 REFERENCES
............,......................................... 28 APPENDIX A MATHEMATICAL MODEL APPENDIX B APPENDIX OF CALCUIATIONS APPENDIX C ANSYS STATIC ANALYSIS A , , APPENDIX D ANSYS MODAL ANALYSIS A I APPENDIX E ANSYS POST 27 LOAD COMBINATIONS l L APPENDIX F 'ANSYS POST 23 VALVE BODY NODAL STRESS AND NODAL DISPLACEMENT DATA APPENDIX G ANSYS POST 25 VALVE DISC AND ADAPTER PLATE NODAL STRESSES AND DISPLACEMENTS l patel engineers e- huntsville, aloboma -
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L Report No. PEI-TR-83-15 : F Page No. v a l LIST OF ILLUSTRATIONS FICURE Page 1 C low 6-Inch Waf e r S to p Va1ve . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 , 2 ANSYS Calculated Mas s and Centroid Inf ormation. . . . . . . . . . . . . . . . . . . 7 3 Valve Body Max Stress Plot z = 0.5 Section Cut................... 18
- 4 Valve Body Max Stross Plot z = 1.0 Section Cut................... 19 5 Valve Body Max Stress Plot z = 2.0 Section Cut................... 20 6 Valve Body Max Stress Plot z = 3.0 Section Cut................... 21 7 Ada p t e r P la t e Max S tr e s s P lo t . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 8 D is c Ma x S t r e s s P lo t . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 1/ LIST OF TABLES TABLE 1 Modal Participation Factors for Clow 6" Valve As sembly. . . . . . . . . . . 2
.I 2 Stress Ratios for Clow 6-Inch Wafer Stop Valve
- 4. 5 g S e i smi c con d i t io n . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 3 Maximum Deflection............................................... 3 4 Summary of Allowable Stresses........................... ....... 25 5 Net Reaction Forces at Boundary Nodes............................ 26 l'
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SUMMARY
b o n_ 1.0 Introduction . This report pres,ents the results of seismic qualification analysis of a fi-inch diameter stop valve for the Limerick Nuclear Plant. The I analysis was performed for tha Clow corporation, Westmont, Illinois, in accordance with Bechtel Power Corporation Specification 8031-P-144, Revision 1. , Complete details of valve geometry, structural components, and assemblies are given in the engineering drawings of Reference 1. The basic approach taken for this seismic qualification analysis was: o Utilize finite element techniquis to formulate a mathe-matical model of the valve; o Calculate valve fundamental natural frequency; l o Apply the static analysis method to determine stresses, forces and defleccions for operating and seismic loading conditions; and I o Calculate resultant stresses against appropriate allowable stresses. The ANSYS finite element computer program developed by' Swanson Analy-sis Systems, Inc., Houston, PA, was used to develop a mathematical ,3 model and to determine frequencies, stresses, forces, and displace- ' j ments. ANSYS computations were performed on the Caatrol Data Cybernet _ System. This public domain program has had sufficient history of use to justify its applicability and validity. I 1.2 Summary of Results g A frequency analysis of the valve _ system yielded a fundamental natural j frequency of 105 Hz for the Bettis operator assembly and 107 Hz for the Limitorque operator assembly. Table 1 represents participation factors for a few key frequencies. ,
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LL Application of the operational loads and the seismic design environ-t ment specifications of Section 3.0 Save the stress ratios contained in Table 2. tg l-1 patel engineers huntsville, alobomo I
Report No. PEI-TR-83-15 , p Page No. 2 l l Table 1. Modal Participation Factors ' for Clow 6-Inch Wafer Valve Assemblies ITEM NODE FREQUENCY PARTICIPATION FACTORS No. (HZ ) **
- X Y Z Limitorque 1 107 0.053 -0.319 1.099 Moto':
. ,0pe rated 2 141 0.929 . -0.641 -0.228 j
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Anetably. 3 402 0.671 ' O.938 0.292 !
- .s. i Bettis 1 105 -
0.324 i 1.158 -0.045 7' 8 nir '
. Operated ,
f2 118 - 0.442 -0.083 1.112
, valve -
Assembly 3 303 1.067 0.326 0.495 3
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Table 2. 5 Stress Ratios for Clow 6-Inch
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Wafer Stop Valve 4.5 g Seismic condition
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STRESS RATIO I
,' h 10 CATION (S TOTAL /S ALLOWABLE)
Valve Body 0.22 Disc 0.50 : Drive Shaft 0.67 # Adapter Plate 0.25
', 3/4-10 -UNC Operator to Adapter Plate Bolts (Hybrid 0.27 "Orst Case" Assembly) d 3/4-10 UNC Valve Body 0.15 !
to Adapter Bolts l l Cover Place 0.39 l
., 3/8- 16 UNC Cover Plate Bolts 0.01 !
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y, v. 0 .l' s s_ w t,s . Report No. PEI-TR-83-15 5 O% Page No. 3 e Full descriptions of,all stress calculations are given in Section 7.0 Total deflections of the major valve components due to the applica-tions of the specified seismic ' acceleration environments and operating
., loads are given in Table ' 3. ,
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.<f- Maximum Defl'ection DEFLECTION IN GIDBAL COORDINATE DIRECTION
- X(IN) Y(IN ) Z(IN )
LOCATION lI . Operator C.G. 0.007 0.006 0.007 1. Valve Body 0.003 i 0.003 0.004
- I Adapter Plate 0.003 0.004 0.004
-{ Disc 0.0001 0.0004 0.001 L
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l i Descriptions of all deflection calculations are given in Section 8.0
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Y i Report No..PEI-TR-83-15 $ O Page No. 5 J h 1.3 Conclusions I' The conclusions drawn from this seismic qualification analysis of the Clow 6-Inch Stop Valve Assemblies are as follows: f 1) The valve's major components, as analyzed do not exceed 3' ASME allowable st.re s s values as described in Bechtel ' Specification 8031-P-144. Revision 1.
- 2) A check of critical area deflections was made and showed that the valve's deflections will not prevent it from performing its specified functions.
1.4 Limitations ( The analysis was performed on the structural drawings of Reference 1, l the operator de finitions of Reference 2, and the design environment specifications of Reference 3. The applicability of the rasult s is subject to the following limitations:
$ 1) The results do not apply to design, materials, and environments not contained or identified in the above
. re ferences .
1b .L/ 2) Neither pipe structures .nor operator structure are included in the qualification analysis. lu 3) The results do not apply for structural changes or alterations not identified in this report. 1 o l < l I i (1 ,o patel engineers I l - huntsville, clabama l- .
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Report No. PEI-TR-83-15 ii Page No. 6 a s 2.0 - )ESCRIPTION OF 6-INCH STOP VALVE JOB NUMBER 82-2053-02(N),-03(N) The valve has a 6-inch nominal diameter and is configured as shown in Figure 1. An internal disc is actuated by a drive shaft which extends
- r. through the valve body and adapter plate section into either a Bettis operator model NT312-SR5 or a Limitorque SMB-00-10-H2BC. A sealing L
gland is located in the operator end of the valve body, thus making the adapter section and operator non pressure boundary components. Full structural descriptions of all valve components are given in the complete set of structural drawings of Reference 1. Bettis and Limitorque operator inertial definitions are given in Reference 2. E Figure 2 presents mass and center of gravity information for a hybrid worst case operator / valve assembly. This hybrid operator was taken to [g be the most massive of the two operators with the worst-case center of gravity combination possible. .This hybrid was used for the static analysis only. For determination of worst-case hybrid, see appropriate sections of Appendix B. Each proper weight and C.G. was
; used to determine frequency data for each valye as sembly. The, valve (without operator) data were generated by the ANSYS Computer program from the mass information of all elements in the mathematical model.
[ The data for the valve with operator were generated using the finite j element model used to determine loads, stresses, and deflections. I I I I = L l1 I IO - notei enoineers huntsville, clabamo l I
i Report No. PEI-TR-83-15 ll Page No. 7 - 1 1 NOTE: XY ORIGIN AT CENTER OF DISC > Z ORIGIN AT BACK FACE N I .
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v s f 1 ..- I ..:. .t e a - .:. a -::a. w a a s:s er erac settis . :.. ,- : ,.. I ACTUAL MODEL CEN"ROID l COMPONENT WEIGHT W'TCHT g (LB) (Ln) X(IN) I(IN) !Z(IN) l l l l Valve 173 168 -4.694 -0.590 1.697 Operator 533 533 -16.9 -10.21 -1.51 Valve & Operator 706 701 -13.973 -7.903 -0.741 Figure 2.
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7 Report No. PEI-TR-83-15 g Page No. 8 REVISION A 3.0 DESIGN ENVIRONMENT SPECIFICATION -
.3.1 Seismic Environments Loading Conditions Horizontal Vertical Specified Seismic Loading 4.5 g 4.5 g 3.2 operational Environinents The operational environments for the subject Stop Valve are defined in References 1 and 3 and are sununarized below:
o Design pressure = 285 psig o Differential pressures = 65 psig o Design temperature = 340 F A o Seating torque = 7,800 in.-lb Reference 3 notes that the temperature is uniform and thermal gradients are negligible. I I I O V potel engineers huntsville, clabama . O
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Report No. PEI-TR-83-15 !! Page No. 9 !' l' O~ 4.0 TECHNICAL APPROACH H 4.1 General
.c The technical approach was formulated to provide a high technology analytical solution to the seismic qualification of the subject valve. ', The analytical methods identified herein were selected to ins ure com-pliance of the qualificat' ion program with controlling documents such as Bechtel Specification Number 8031-P-144. Revision 1, IEEE 344-1975, ]
- s and industry guidelines and standards as represented by NRC Regulatory Guides.
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A finite element analytical approach was selected to develop a mathe-matical representation of the valve. The ANSYS Engineering Analysis System, as developed by Swanson Analysis System, Inc., was used to define the finite element mathematical model and to calculate results including stresses, forces and deflections. A brief susunary of the analytical approaches for these various types of analyses follows. 4.2 Finite Element Representation J I The structural problem is defined in terms of geometric node point location, structural finite elements that connect the node points, and nodal masses that describe the inertia characteristics of the struc-
. i ture. The ANSYS computer program then used this finite element repre-s sentation as follows:
o The stiffness matrix of the complete structure (K] is synthesized from the stiffness of the element [k]. This is accomplished through the ccordinate trans forma-tion (B], into (global) coordinates. The general equa-tion for this stiffness relationship is T q [K] = [B] [k] [8] o The mass matrix (M] of the complete structure is formed I from the elemental consistent mass matrices and the in-put lumped mass values. I I I j l* O ' notei enoineers huntsville, olobomo l . r
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' Report No. PEI-TR-83-15 i Page No. 10 'd 4.3 Modal Analysis The modal equation
([K] w.t [H]) (ci) = 0 , g where ,;. [K] = the reduced stiffness matrix of the structure [M] = the reduced mass matrix of the stureture og = the eigenvalue of mode i (g) = the eigenvector of mode i is solved for the eigenvalues W. and the eigenvectors . of the system. The eigenvectors calculated by the ANSYS (@Io) p gram are orthonormal; that is , they are normalized such that the generalized mass for each mode equals unity, T (& g) [M] ($g) = Gen. Mass. = 1 I Once the modal solutions are obtained in terms of the dynamic degrees i of free dom , the eignevectors can be expanded to the full set of displacement degrees of freedom, if desired. I 4.4 Static Analysis For a static seismic analysis, accelerations, n., are applied to the mass matrix [M] to form an inertia loading macIix (F) for each seismic or gravity condition: (F) = ng[M] where ng is the acceleration constant. The static equilibrium equation (F) = [K]{d) is solved to obtain the displacement (d). From these displacements, the forces and stresses within each structural element.can be calcu-l lated. Each of the three coordinate directions is evaluated separately .and the results superimposed on a Square Root of the Sum of the Square (SRSS) basis with the operational conditions added by absolute sum: l~ i c T
=\ Ic 2 static + 0 . + 0 l; gravity operational n
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! c,g,gg = elemental stress due to static seismic l acceleratton c .
= elemental stress due to dead weight or 8#***EI gravity o ,,; ,
= elemental stress due to operational loads.
4.5 Stress Analysis Stress values for all structural elements in the mathematical model are determined independently for each seismic excitation direction, for dead weight, and for each operational load. Each of these types of load constitutes an individual load case. All load cases are { summed as defined in Section 4.4 to achieve a conservative definition j of the total stress on each element of the mathematical model. The model has been developed to be representative of all components of the valve, therefore, it is capable of reproducing stress levels in all components and at all interfaces with high accuracy. ( The particular load cases for the subject valve are defined by the l, design environments of Section 3.0 and are as follow: o Load Case 1 - Design pressure, 285 psig and 65 psig differential pressure across dise; o Load Case 2 - Seating torque 7,800 in.-lb; o Load Case 3 - Static x-direction seismic acceleration; l, o Load Case 4 - Static y-direction seismic acceleration; 1 'l. i s potel engineers huntsville, clabomo
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l* . Report No. PEI-TR-83-15 , I Page No. 12 l f ' o Load Case 5 - Static z-direction seismic acceleration; . o Load Case 6 - Gravitational acceleration. Total stresses resulting from the above load caaes are compared with allowable stress values. ASME allowables, S, are taken from ASME Section III Tables I-7.1 thro, ugh I-7.3, at the design temperature. , The allowable stresses fo6 the dynamic design condition were taken to ' be the "S" values , for conservatism. Bolt stresses were evaluated to the criteria in ASME, Section III, Appendix XVII, subsubarticle 2460. STRESS STRESS IDADING LIMIT FOR LIMIT FOR COMBINATIONS STRUCTURAL COMPONENTS BOLTING fg /Feb 2+I v2 2 2 Seismic condition "S" F vb 1 loads, and design loads S = ASME Allowable Stress at Design Temperature O. ,, = Te.si1e Stress ! F eb
= Allowable Tensile Stress f = Shear Stress y
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= Allowable Shear Stress Maximum stresses resulting from the seismic and operational loads are compared with the ASME allowable stresses. This comparison is presented in the form of a stress ratio as:
Stress Ratio = Maximum Stress Allowable Stress Stress ratio values which are less than 1.0 indicate acceptable stress levels which are within satisfactory ASME design limits for stress allowables. potei enoineers
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- 1 Report No. PEI-TR-83-15 I'(- Page No. 13 i!
5.0 DESCRIPTION
OF MATHEMATICAL MODEL Fl
!l The ANSYS structural mathematical model of the subject valve was l l
formed with finite elements available in this computer program. The I following element types were used: o Three dimensional elastic beam element - a uniaxial element with ten's ion-compre s sion , torsion, two plane
. bending capabilities, and six degrees of freedom at each node.
o Elastic flat quadrilateral shell element - a shell
.g element with both bending and membrane capabilities, l in plane and normal loads permitted, normal pressure loading available, six degrees of freedom per node.
o Generalized mass element -a point mass element 'hav-ing up to six degrees of freedom, concentrated mass and rotary inertias available, coupled mass or diagonal matrix permitted. o 3-D Isoparametric solid - element used for three-dimensional modeling of solid Jeructure, eight nodal points de fine the element with three translational degrees of freedom per node, pressure loading is avail-able, o Sprint-Damper - massless spring element with longitu-dinal or torsional capability in one, two, or three dimensional applications. o 10 Node Isoparametric thick shell - element used for three-dimensional modeling of solid structure, ten li nodal points define the element with three trans la tion-al degrees of freedom per node, pressure loading is i available. i l' A mathematical model was developed using the above finite elements. This .model was formulated so as to provide adequate definitions of valve interfaces such as shaf t penetrations of the valve body, adapter to valve body, disc to seat ring, and drive shaft bearing points. Each structural component of the valve was modeled in sufficient i 4 detail to allow accurate computer calculation of the stress levels in the components due to dynamic and operating load environments.
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9 l The ANSYS finite element model of the assembly consisted of: n o 466 nodes o 192 isoparametric solids , o 8 isoparametric thick shells o 40 beam elements o 34 quadrilateral shells o 2 springs o 1 concentrated mass t These elements were described in several local coordinate systems to-facilitate the description of the various major components. Each was referenced to the global coordinate system so that all final outputs could be expressed in a casmon system. The resulting detailed finite element model of the stop valve is shown
,O in Figure 2. This figure illustrates the complexity of the model and its attention to detail in the critical areas of the valve. Note specifically the increased modeling detail in the neck area where the largest bending stresses would be produced.
The wafer valve body was represented with 200 three dimensional solid elements which reproduces the flexibility of the body at all of its ~ intersections with other valve components. The nadal picture of the
; valve body is shown in Appendix A. The body was developed with two i, levels of elements through its thickness, except in the neck area where there are four levels, so as to provide a more accurate stress resolution in the valve body. ,
Inside the valve body opening, the seat ring was modeled us ing be am elements 'with proper section properties to simulate its inertial char-acteristics. Pressed against the seat ring is the disc, which was modeled using 10 quadrilateral shell elements. patel engineers
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1 i! Report No. PEI-TR-83-15 Page No. 15 REVISION A [' j The effects of seating the disc against the ring was accomplished by using coupled nodal displacements. This mathematically " coupled" selected nodes on the seat ring to selected nodes on the disc. Any-displacement in one node of the coupled set was limited by the resis-tance to displacement of the other node in the set. The disc ears were modeled as shell elements, but the shaft to disc torque was transmitted by use of spring elements with stiffness proper-ties several times that of the shaft. L The operator adapter plate was modeled with plate elements as was the disc.- This approach yields excellent membrane and bending data. For the static analysis, the Bettis operator plate was used in the model because - separate analysis proved it to be a worst-case component. For the frequency analysis, the proper operator plate was used with its appropriate operator. (See Appendix B for details of worst-case determination). The shaft was modeled with beam elements with properties that provide proper load carrying characteristics of the shaft. The shaft pene-trates the valve body in the plane between the two middle section thicknesses of the body. Bearing forces are transmitted to the valve body at bearing locations by use of coupled nodes. The shaft is l'i restrained axially .by coupling the lower end shaft node to a valve body node. This simulates the presence of the annular key and dowel pin. The operator was modeled with a lumped mass element at its center of gravity and very stiff beam elements from the mass to the operator adapter plate simulated the rigid operator body and housing. For the static analysis the worst possible mass, C.G. location, and torque was used. .Again for modal analysis, appropriate s'ss and C.G. locations were used for the specific valve assembly. The shaft and operator section was modeled such that disc loads would not be transmitted through the shaft to the operator, as verified in previous testing performed for Clow. ' < A definition of node point numbering systems, coordin' ate systems, com-ponents, and general math model development data is given in Appendix A. For a more detailed definition and understanding of this complex and sophisticated model, attention should be given to this appendix. The weights of all valve components were generated by ANSYS using con-sistent mass formulations . The operator mass was simulated with a
- - translational lumped mass at its center of gravity.
l The physical properties of the various materials in the valve were taken from ASME Section III Appendix I, Table I-6.0, for a design teap-4 erature of 340 F. A
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6.0 RESULTS OF VALVE FREQUENCY ANALYSIS I A modal analysis as described in Section 4.3 and using the model of Section 5.0 was performed. The lowest fundamental frequency of the Bettis assembly was found to be 105 Hz. The lowes t fundamental frequency of the Limitorque ass embly was found to be 107 Hz. The motion of these modes are characterized by a torsional motion occuring , in the operator adapter plat'e and neck section. No friction coupling between the adapter plate and valve body was taken into account. The operator loads were transmitted to the valve body only at bolting locations. Participation factors for a few key resonances are given in Table 1. These participation factors are calculated for each excitation direc-tion and indicate participation or activity of each mode in that direc-tion. For a static analytical approach, as in this case, the partici-pation factors serve only to provide insight into the character of the modes. Total frequency analysis for both valve assemblies are given in the appropriate section of Appendix D which lists pertinent ANSYS print-outs. () l P d s
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.' huntsville, clabomo i
II Report No. PEI-TR-83-15 j
/' Page No. 17 -
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h i 7.0 RESULTS OF VALVE STRESS ANALYSIS i The mathematical model of Section 5.0 was subjected to the following load cases: o Load Case 1: Internal valve pressure of 285 psig with n a d,i,fferential disc pressure of 65 psig o . Load Case 2: Seating torque applied to shaft 7,800 in.-lb 1 o Load Case 3: X direction dynamic acceleration 1.0 g 3 o Load Case 4: Y direction dynamic acceleration 1.0 g o Load Case 5: Z direction dynamic acceleration 1.0 g The results from these five individually calculated load cases were conservatively sunaned as shown in Section 4.4; i.e. , dynamic load j stresses were combined by SRSS and then combined with gravitational i and operational stresses by absolute summation. This was achieved by using ANSYS post processing subroutine POST 27 which allows multiplica-tion by scale factors, summations of several load cases by SRSS, abso-lute sum, or algebraic sua methods. Proper scale factors were used to l A) bring the g values of load cases 3 through 5 to design environment levels (see Section 3.0) before loads were combined. F
) POST 27 also is a powerful tool to scan information. By setting an upper boundary stress limit, the prograe: will scan all stress data and flag stresses over the threshold value. This data printout is given , in Appendix E. Static analysis input and typical stress printout are I given in Appendix C.
4 By use of ANSYS POST 23, principal stresses were calculated at nodal points throughout the sections modeled with solid elements (valve body). Nodal displacements and stress data compiled by POST 23 are given in Appendix F. Along with calculating nodal stresses, POST 23 also plots section views to show areas of maximum stress. Figures 3 through 8 show maximum stress plots with lines of constant stress for the valve body for the dynamic plus operational loading conditions. 1 l potel engineers huntsville, cicbomo c O
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1 Report No. PEI-TR-83-15 :
*e Page No. 18 I
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1 / L BODY SECTION CUT Z=0.5 6 [NCH VALVE SMAX ANSYS ! Figure 3. l" Valve Body Max Stress Plot z = 0.5 Section cut i-patel engineers
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l I Report No. PEI-TR-83-15 Page No. 19 O l (,f>J I \g t h i l i , IO // l i.
'E 500Y SECTION CUT Z=1.0 6 INCH VALVE qqqq gy$yg y Figure 4.
.g. Valve Body Max Stress Plot
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SODY SECT!0N CUT Zs3,0 6 [NCH yqtyg $9A AN$15 7 Figure 6. i Valve Body Max Stress Plot z = 3 Section Cut l l
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4 Report No. PEI-TR-83-15
' p- ,Page No. 24 ,
r V l . These figures also show* maximum stress plots for the dise and adapter i' j plate for the loading condition. These plots were made using ANSYS POST 25, the same type post processing routine as POST 23 except that it { calculates displacements and principal stresses for nodes on plate elements. The data ' compiled by POST 25 are given in Appendix G. l The maximum stress values for ,other valve components, such as drive shaft and adapter piste bolting, are detailed in Appendix B. The max-
~imum stressed element was flagged by POST 27 and a detailed stress analysis is contained in this Appendix.
The maximum stresses for all vsive components were compared to the allowable stress values of Section 4.5. Table 4 gives the maximum stress in all sections of the valve due to the dynamic loading condi-tion and operational loads. This table also lists ASME allowable stress values for each material. The maximum stress values for the isoparametric elements (valve body) and the quadrilateral shell elements (disc and adapter plate) were cal-c.a la ted for each corresponding node. This stress value includes both membrane and bending stress. For conservatism, this value was compared to only the ASME "S" allowable stress. The stress levels
; .. were found to be well within the allowed limita. .I I
The drive shaft stresses were also compared with their allowables and
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found to be within their limits. i Cover plate stresses were also compared with the ASME "S" allowable stress values. This resulted in a stress ratio well within range. The stress value calculated for the cover place bolting was also compared to its "S" value and was found acceptable. These calculations can be found in Appendix B. i Table 5 lists the load reactions at the support points. For better understanding of nodal locations refer to valve body section of Appen-i dix A. The forces shown in these tables represent the net reaction at nodes where bolts are located. The two flanges which sandwich the valve body must provide a restraining force distribution to the valve body as indicated in the reaction table. Full reaction results are ( found in Appendix E. The section modulus and area at the plane normal to the flow passage through the region et the valve body crotch is greater than 110 i,. percent of that for the piping connected to the valve body inlet and outlet nozzles. Also, the allowable stress for the valve body material is greater than the allowable stress of the connected piping material. It is assumed the mating pipe is SA106 GR.B with a schedule 40 vall. The detailed calculations are listed in Appendix B. O *
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Sunusary of Allowable Stresses IDCATION MATERIAL ALIDWABLE STRESS STRESS ELEMENT' STRESS (psi) VALUE RATIO (PER ASME SECTION (psi) III, TABLES I-7.1 THROUCH I-7.3) i valve Body SA 516 17500 3836 81 0.22 GR.70
- E Disc SA 516 17500 8817 202 0.50 g
) CR.70 g ' l 52 ' Drive Shaft SA 564 34550 23038 216
- 0.67 gP Type 630 2, j H-1045 o[
wA Operator Adapter SA 516 17500 4377 226 0.25 u?8 Plate GR.70 l Adapter Plate SA 193 25000 150900 N N/A 0.15*
- i Bolts GR.B7 7764T Operator / Adapter SR 193 25000 172840 N N/A 0.27*
Bolts (Hybrid CR.87 11194T Worst Case Assembly) Cover Plate SA 516 (1.5)(17500) 6613 N/A 0.39 GR. 70 =26250 Cover Plate Bolts SA 193 25000 5490 N/A 0.0l* N
- GR.B7 21 T i
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*Per ASME, Section III, Appendix XVII, Subsubarticle 2460.
T I Report No. PEI-TR-83-15 i
' '^
Page No._26 ? Table 5. ; Net Reaction Forces at Boundary Nodes 1 FX(LB) FY(LB) FZ(LB) N0DE SHEAR SHEAR NORMAL 14 2114 424 445 16 755 289 322 18 394 74 132 21 125 92 86 1 23 480 322 233 la 799 . 486 442 l 138 1712 1474 839 141 3285 2989 2444 100 2406 453 602 . 102 796 291 390 l 104 410 78 126 l 107 170 95 97 j 109 504 325 340 111 974 495 586 - 358 2702 1132 1297- i L ' 361 3479 2341 2450 l! I t' l . l.' l I i l ,1 I i. O
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p. I Report No. PEI-TR-83-15 l Page No. 27 8.0 DEFLECTIONS OF MAJOR COMPONENTS j. l Maximum deflections of major valve components ' resulting from the appli-I- cation of all dynamic loading conditions plus operating environments are found in the appropriate sections of the Appendices. The body dis-placements are found in Appendix F, disc and adapter plate displace-ments in Appendix G. 'The. remaining component displacements were checked by suassation of i'adividual displacements due to the applica- i tion of the load cases listed in Section 4.5 and found in Appendix E. The _ operator center of gravity experiences the largest displacement in the pipe axis direction. The values given in Table 3 of Section 1.2 l g'ive the maximum deflections in the global coordinate system. These values indicate that the valve's deflections will not prevent it from performing its specified function. I t
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4 l Report No. PEI-TR-83-15 -[ Page No. 28 REVISION A ! l l I
9.0 REFERENCES
r.
- 1. Clow Engineered Products Division data transmitted included the following items:
Drawina Number Title D-0699 6" Lug Stop Valve Assembly D-0700 6" Lug Stop Valve Assembly B-3937B ' Machining 6" Wafer Valve B-3936 6" Disc and Seal Assembly B-3934 Disc and Ear Assembly (6") B-3920 Lugged Body Plate
> B-3932A Operator Adapter Plate (Bettis) ,
Seat Ring B-3959 B-3958 Disc B-3935 Single Disc Ear Cover Place B-3967 r B-3933A . Drive Shaft Operator Adapter Plate (Limitorque) B-3931
- 2. General operator definition: G. H. Bettis drawing SPC-9153 Revision D of a Base II NT312-SRS operator; A Limitorque Valve Controls drawing 02-441-0566-2 with center of gravity report 1736.
- 3. Telecon; Allen Davidson, PEI, to Jim Krueger, Clow Corporation, discussing operational loads and thermal gradients, C.G.' information for operators with accessories furnished.
- 4. Bechtel Power Corporation Design Specification 8031-P- '
144, Revision 1 dated 6/29/82 " Design Specification for Butterfly Valves for Nuclear Service for the Limerick Generating Statien Units 1 and 2 Philadelphia Electric Company". - e potel engineers huntsville. clabama
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'l REVISION A O
APPENDICES APPENDIX A MATHEMATICAL MODEL APPENDIX B APPENDIX 05 CALCULATIONS
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APPENDIX C ANSYS STATIC ANALISIS
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A g, -, t APPENDIX D ANSYS MODAi' ANALYSIS A L. APPENDIX E ANSYS POST 27 LOAD COMBINATIONS APPENDIX F ANSYS POSI 23 VALVE BCDY NCDAL STRESS MD NODAL DISPLACEMEFT' DATA APPENDIX G ANSYS POST 25 VALVE DISC AND ADAPTER PLATE NODAL STEZSSES AND DISPLACEMENTS I , These Appendices have been prepared by M. N.dA. M& Davidson Approved by ./. LN h, b.+ Robert Parker 1
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i o APPENDIX A I^ MATHEMATICAL MODEL l - r 1 l potel engineers huntsville, ciabomo
Y - i "f~T ! s V ANSYS MODEL CODING INFORMATION FOR ELEMENT DATA i COMPONENT ELEMENT TYPE MATERIAL I TYPE ITABLEl 1 Valve Body 3-D Solid 1 1 1 ; u Neck Transition 10 Node 1 2 2 Element Solid ' ( Disc Shell 1 3 3 ; Shaft 3-D Beam 2 4 4 f Adapter Plate Shell 5 5 5 , Dise Ears Shell 1 6 6 ; Body to Plate 3-D Beam 1 8 8
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I V' 3) Seat Ring 3-D Beam 3 9 9 : Massless Rigid 3-D Beam 4 10 10 l [ ' l Links ' Torque Spring Spring 1 11 11 ' E Operator Center Translational 1 12 12 of Gravity Mass I 'I a . a 1 i e a pote' enoineer=
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APPENDIX OF CALCULATIONS l potel engineers ' huntsville, clabomo 9 l
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l' i O OPERATOR ADAPTER PLATE BOLTING QALCULATIONS (HYBRID " WORST CASE" ASSEMBLY) . I v Q, I potel engineers . huntsville, cloboma
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NODE a Y 7 THEY THV2 THIF GON R) (OR THEI4B 109 PHI) (OR Rip 672 OR TP) 4RF 09 #88 COORDINATL SYSTEM 3 TYPE I CENTER LOCATION 0.000 0.000 0.000 ANGLFS 0.00 0.00 0.00 1 3.7500 22.500 0. 6. O. 6. C00RO.4TSTEM 3 4 3.4645 1 4351 0. 8. 8. G. 2 3.7500 67.500 0. 9. 8. R. CDORD. SYSTEM 3 2 1 4351 3.4645 c. 9. 8. 6. 3 3.7500 132.50 8. 6. O. 8. COORD.5YSTEM 3 3 -3 4351 3.4645 6. 8. 8. 9.
, 4 3.7500 157.50 0. 8. 8. 8. COORD. SYSTEM 3 4 -3.4645 1 4351 0. O. O. O. .
5 3.7500 202.50 0. 8. 9. 6. COORD. SYSTEM 3 . 5 -3.4645 -1.4351 0. 8. 6. O. 6 3.7500 247.50 0. O. O. 8. COORD. SYSTEM 3 6 -1.4355 -3.4645 9. 8. 8. 8.
, 7 3.7500 292.50 0. 8. 8. 4. COORD. SYSTEM 3 7 3 4351 -3.4645 9. 8. 9. 8 0 3.7500 337.50 c. 8. 8. 8 COORD. SYSTEM 3 4 ,G 8 3.4645 -1 435) c. S. 8. O. .;, 9 0. 8. O. S. 8. 8.
10 6. 8. 4 1500 8. 8. 8. 11 -3.2600 -9.3000 4.1500 9. 8. 6. XMINm -3.465 smage 3.465 YMIN= -9.300 Yuase 3.465 FMIN= 0. FMA2= 4 150 OCTAL STORAGE RE0tilRENENTS FOR N00E INPUT CPn 3.020 CORE = 00141732 MEMORY = 00000102 TOTALS 00142034 MEMORY Av48LastEm 00107770 . MAXIMUM N00E NUMBER FOR AVAILABLE AUtILI ARY MEMORY 5IZEm 6342 MODEL GEOMETRY wRIliEN ON FILE TAPE 3 PR08LLN OAT A wulfitN One FILE TAPE 7 l m -_ -_- - _ . _ _ - ___-
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ANSYS = ENGINEE RINf. ANALYS15 SYSTEM REVISION 3 UPDATE 67LI CYRRI7h JUNE 1 1979 SWANSON ANALy$l$ gySJEMS. INC. HOUSTON. PENN5tLvANIA 153+2 PNONF 14121 746=3304 TOROUE 7n00 IN Lu 83.4A19 R3/ 4/22 cps 3.250 LOAD STEP NimeiER e 1
***** LOAD STE* OPil0N5 ICARDS L AND Mi *****
VALUE WAPIAmLE COLUMNS NAME ] LOAD STEP MEY . . . ..... I mDIS 2-3 I TEMPERAftsNE uty . . ..... 0 KTEMP 4-6 j NUMUER OF ITERATIONS. . . .. I NITTER 7-9 sire $5 PRipetoui FREQUENCY . . 2 MPRINT lt-12 . TIME AT END OF LOAD STEP. '. . 8. TIME 13-24
! ITER FREO OF POST ELEN. DATA I IFEO 49-51 ICARD M3 ITER FRE0 0F POST N004L DATA I IFND 52-54 ICARO MS ITER FREO OF POST REACT. DATA I IFR0 55-57 (CAND Mt DISPL. PRINTOUT FREOUENCY .. ,2 NDPRNT 70-72 ICARO Mt
? I ***** SPECIFIED OISPLACEMENTS ICARD N3 a**** ', j N00E UX UY U2 ROTX ROTY ROTF J l 0. 9. 8. I 4 8. 8 8. 5 9. 8. 8. Ep 9 0. 8. O.
, ***** SPECIFIED FORCES (CARO 03 *****
NO. NODE DIRECTION VALUE I 9 N2 ~7000.00 .
* ***
- LOAD SimmARY = 12 DISPLACEMENTS I FORCES 0 PRES $URf5 *****
OCT AL STORA6E REQUIRENENTS FON L INROU6N P CANO DATA INPtsT cpm 3.440 CORE = 00142030 eeEMORY= 00000000 TOTAL = 00142030 MEMONY AVAILABLE= 00307770 MAtlpine STIFFNESS = .3tR933E*12 AT ELEnf'NI e MINIMON SilFFNES$ e .]21362E*l2 AT ELEMENT le OCT AL STORAGE REQUIRE MENis FOR ELFMENT FORMtAATIUN CP= 3.R50 CONT
- 0014if 030 seE MORY* 00000000 TOTAL = 00142030 MEMOPY AvalLABLEm 00307770
- ELEMtNT STIFF 88ESS FORMULATION TIMFS TYPE NUMBER SilF TOTAL CP AVE CM 1 le 4 .367 .037 9
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- s/ so-f.NSYS - ENGINEECING AN1 LYSIS SYSTEM REVISION 3 UPDATE 67LI CYBR176 JUNE 1,1979 SWANSON ANALYSIS SYSTEMS, INC. MOUSTON, PENNSYLVANIA 15342 PHONE E412) 746-3304 Y DIRECTION 13.69?S 83/ 4/22 CP= 5.411 LOAD STEP NUMBER = 3
(
***** LOAD STEP OPTIONS (CARDS L AND MI ***** (
+ VALUE VARIABLE COLUMNS NAME , LOAD STEP MEY . . . . . . . . -2 KDIS 2-3
; TEMPERATURE KEY . . . . . . . O KTEMP 4-6 NUMBER OF ITERATIONS. . . . . I NITTER 7-9 STRESS PRINTOUT FREQUENCY . . 2 kPRINT 10-12 l TIME AT Ek0 0F LOAD STEP. . . O. TIME .2-24 ITER FREO OF POST ELEM. DATA 1 IFED 49-51 (CARD M)
ITER FRE0 0F POST N00AL DATA 1 IFND 52-54 (CARD Mi l ITER FRE0 0F POST REACT. DATA I IFR0 55-57 (CARD HI
! OlSPL. PRINTOUT FREQUENCY , . 2 NDPRNT 70-72 (CARD MI j COORDINATE ACCELERATIONS 0. 386.40 0.
*** LOADING CHANGES ***
CCTAL STORAGE REQUIREMENTS FOR NEW LOAD ON OLD STIFF. NATRIX CP= 5.854
- CORE = 00142026 MEMORY = 00000103 TOTAL = 00142131 MEMORY AVAILABLE= 00107770 38 TIME AT START OF BACK SUBSTITUTION CP= 5.863 STEP = 3 ITERATION = 1 ,
bb *** STEP 3 ITER I COMPLETE. TIME = 0. KDIS= -2 KTENP= 0 CUN. ITFR.= 3 1 NEW TITLE = Z DIRECTION ( 4
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- T APEm 12 L.S.= 3 ITEH= 1 FACTOR = 4.5000 TAPE = It L.S.= 1 ITER = 1 FACTOR = 4.5000 OUTPUT FILL IS
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SUwN4flON TYPE 15 AHSO INPUI FILES ARE
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! SWANSON ANALYSl5 %YSTEN$e INC. MOUSTON. PE NNSYLv ANI A 15342 PHONF I4379 746-3164 1 2 OIRECTION 13.6456 83/ 4/22 CP= 7.697
... Po%T27 PRINT %ECTION f Pe!NT DPil0NS,ARE= ENOO= 0 REST = 0 afFR= e upF R = 1 i
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, N00f LAREL F ORCF. I Fu 253.580 I FY 319.914 1 F2 4668.93 4 Fx 730.980
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' 5 Fx 1542.31 *
! 5 FY 3405.59 j 5 F2 5772.62 i
0 F3 1376.09 8 FY 2967.05 i 8 F2 4732.68 4 EP END OF FILE ON TAPElg ! .'. END OF FILE ENCOUNTERED ON TAPE 10
- -a PLOT DATA IIF ANYS wn!TTEN ON FILE TAPE 21 i
..... PROBLEN CONPLETED ....* CP = 7.715 END OF INPUT ENCou8stERED 04 FILE TAPEIR ENTER / NOTES CARD AFTER FINISM CARO lom AT ANY CARD-A LEvfL8 1 FOR DET AILEO NOTES ON FEATURES. CNANGF5e NELP, E TC.
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( 6 The ANSYS analysis which follows, presents the determination of the worst case adapter plate used in the hybrid valve model for the static analysis. I Both Bettis and Limitorque operator plate models were subjected to the same. seismic plus operating load combinations as in Section 3.0 and worst case plate was determined. The hybrid center of gravity for the operation mass location was used along with the highest operator mass and more severe torque. The Bettis plate showed highest stress level of 4335 psi, while the Limitorque showed highest stress of 968. The Bettis plate also showed higher reaction forces at the bolting points to the valve body. Therefore these bolt reaction I loads were used to evaluate the resulting adapter plate bolt stresses. I I.O I I I I I 1 1 li
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'l , i IO : l t . APPENDIX C - STATIC ANALYSIS HYBRID " WORST CASE *' ASSEMBLY 9 D f b d patel engineers huntsville, olobomo
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t o 13 U2 2 512 # 14 U2 2 543 3 15 U2 2 514 4 16 U2, 2 915 5 IF UY 2 259 SJ4 IS U2 2 259 SJ4 IV UY 2 243 535 20 U2 2 243 535 di UY 2 49 537 22 U2 2 49 537 23 UY 2 62 538 24 U2 2 62 538 25 UI 2 85 540 26 UM 2 576 233 27 UY 2 576 233 28 U2 2 576 233 . 24 UA 2 577 343 30 uv 2 577 343 Ji U2 2 57F 343 32 UX 2 578 23m 33 UY 2 57e 238 34 U2 2 578 238 35 UX 2 579 348 36 UY 2 579 348 37 U2 2 579 348 37 CosePLED SETS , OCTAL STONA6E RLoulRE8eENf 5 'Ott H Th00U6M E Case 0 UATA IsePalf CP= 33.468 CORE = 00144060 MEMURY= 00980000 TOTAL = 00144066 MEMORY AYAILAWLE= 0805F770 . - === --.. E NEw TITLE = INTERNAL PRL550pt LOAD 9
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F F 5 295.00 n a 5 285.00 9 9 5 285.04 le le 5 285.00 Il Il 5 205.00 12 12 5 285.30 13 29 5 205.00 14 30 5 2R5.ee 8 15 Ji 5 285.00 16 J2 5 285.08 IF 33 5 205.00 . le 34 5 285.00 19 35 5 205.00 ! 20 36 5 285.00 21 37 5 285.00 1 22 30 5 205.00 j 23 39 5 285.00 24 to 5 205.00 25 SF 5 285.00 26 56 5 285.00 { , 2F 59 5 285.00 ' l 2e 60 5 285.00 29 61 5 2e5.00 ] 34 62 5 2e5.00 . 4 4 31 91 5 205.00 . 32 92 5 285.00 d 33 93 5 205.00 . 4 34 94 5 205.00 35 95 5 285 00 . - - - -- -- 36 96 5 285.00 ' 1 37 125 5 205.00 ' 4 O 38 126 5 285.09
- 39 127 5 2e5.00 '
!g 40 i2. 5 2 5.es 4
41 129 5 205.00 42 13e 5 2e5.se ? 43 159 5 285.00
- 44 16e 5 205.00
! 45 161 5 285.00 ! 46 162 5 205.00 , 47 163 5 285.00 . ! 4e 164 5 2e5.ee ! 49 197 1 285.00 50 200 1 285.00 1
51 193 1 285.00 52 196 4 205.e4 53 208 I -65.000
' 54 202 1 -65.00s
- b5 203 1 -65.000 .
56 204 I -65.00s ! i 57 205 I -65.000 58 20h 3 -65.000
, 59 207 1 -65.000 4 60 20. i -65.0e0 61 209 I -65.000 62 die I -65.000
***** LOAD
SUMMARY
- 28 Ol5PLACEMLNI% e F000E5 62 PRE 5%UNES seese f -
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I AN%T5 - ENGINt.ERING ANALY%35 SYSTEM REvlbloN 3 Ort /Ait 6FLI CVMRIT6 JuNt 3 1979 SWA8s504 ANALysth SYSTEMS. INC. M00510N. PENN5yLvANIA 3 *> 34 2 PMONF $4179 746-3304 , a DIRELT!fMs ACLtL 19.%00A M/ 3/25 CP= 546.622 1 4 - LOAD STEP NuMteER = 3
***** LOAD STEP OPTIONS (CARUS L AND M) *****
] , VALUE WAhlABLE COLUMNS NAME
. LOAD STEP MEY . . .. .... -2 EDIS 2-3 TEMPERATUht MEY . . . .... O miEMP 4-6 NUMWER OF ITENATIONS. .... I NIITER 7-9 STRESS PRINTOUT FNLOUENCY . . 2 # SPRINT 10-12
!!ME AT END OF LOAD STEP. . . O. TIME 13-24 ITER FhEO OF POST ELEM. DAIA I trg0 49 53 gCARD MD ITER FRE0 0F POST se00AL DAIA I IFes0 52-54 (CARD M) lier FREO DF POST REACT. DATA I IFR0 55-57 BCARO MI DISPL. PRINT 0Vi FREQUENCY e . 2 NOPRest 70-T2 BCARD M3 i i COORDINATE ACCELERATIONS 306.40 8. 6 .
! *** LOADING CH4Nb(5 *** r i . . .. .... ..
***** SPECIFIED PORCES lCA40 09 *****
t I'
,gs. NO. NODE DIMECTION VALUE
]- i I 530 0. 2 see Nx, M S. ( CP= 599.274 'j OCT AL STORAlrE REQUIREMEstis 9 04 NEW LOAD ON OLD STIFF. NATRIK ' CORE = 00842551 MEMORY = 0000F021 TOTALS 00158572 MEMORY AVAILAutEm 90057770 TIME AT START OF llACM SUSSitTUTION CP= 599.204 etEP= 3 tiEmail086= 1 . e
*** STEP 3 ITER I COMPLETE. TIME
- 9. uDI5= -2 NTEasP= 0 Cips. ITER.= 3
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J A8esv5 - ENGle8EtRIN6 ANALYSIS SY5it4 WEwlb!UN 3 UPUATE 6FLl CYHelfh JU8st 5 14F9 beaNSUng ANALY58% SYSTEte5. INC. HOU5 TUN. Pt NNSYLWAstI A 15342 P@efF 44179 746-3304 7 t)lplCTIose ACELL 19.F183 A1/ 3/75 CP. 697.S65 . LO AD STEP NUMNER = 5 m .. LOAU STEP OPfl0NS ECANDS L Aleu NS ..... 1 VALUE WARIABLE COLUMee5 NAME , LOAD STEP MEY . . . . . . . . -2 ROIS 2-3 itMPENATejkE MEY , . . . . . . O NIEMP 4-6 NUMmER OF liEH4110NS. . . . . I NITTER 7-9 STRESS PRINTOUT FREQUENCY . . 2 NPRINI 10-12 TIME AT ENO OF LOAO STEP. . . O. TIfeE 13-24 ITER FREO OF POST ELEM. OnlA I IFE0 49-53 ICARO M) litR FREO OF POST Ds00AL DAIA I IFNO 52-54 Itapo nel litR FRES OF POST REACT. DATA 1. IFR0 55-SP ICAu0 NI , 015PL. PRINTOUT FREQUENCY . . 2 NDPRNT 70-72 ECARD MI l COORDINATE ACELLERATIONS 0. 8. 3e6.40
... LO4018eG CNAfsssES **. , OCTAL STORAGE REGUIREleENTS FOR IsEW LOAO 0#4 000 STIFF. MATRIN CP= 749.449 w. e*
CORE = 00142551 MEMORY = 0000F028 TOTAL = 00151572 MEse0RY AVAILasLE. 00057770 n Time AT 51484T 0F DACK SUSSTITUTION CP= F49.490 steps 5 ITERATI0es. ]
..* STEP 5 ITER I CUsePLETE. T IME = 0. u035= -2 MTEMP= 0 CUse. ITER.= 5
..... PR0gLLee COMPLETED ..*.. CP = 772.306 l END OF issPUT ENCOUNTERED 08s FILE TAPElt i
ENTEM / NOTES CARO AFi[R FIN 45H CARO 80R 47 40eV CAkO-A LEvgLI FOR DET AILED NOTES ON FE AIUetES. CHANGES. HELP. ETC. B
..m Ruse COMPLE TED *.... CP = 772.336
..... ANSYS Twb DIseENSIO8eAL PLOT 5 m.. s j e.
........ . . . g NO. .PL.O. . .T S..........................................
l RE MEMtsE R i. 4 YOU ant RESPONSIBLE FON SAWIIeG YOUR owN FILLS . FOR MONE INFORMATION 88eCLUDE THE FOLL0wlN6 CANO . EAPL4lfe.AN5YS.FILtb. . i FOR INFURMATIO*e Dee laitRACTIvt FRECUTION . INCLUUL THE FULLOWI'eG L Alto . . ERPLAIN.AN5YS.INTLN. .
- e s
4
l t s I , g . l APPENDIX D .; HODAL ANALYSIS i . I 1 l potel engineers huntsville, clobomo
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l t I I arrrIS VALVE ASSEMBLY 3 MODAL ANALYSIS 6 1 I .lIO I I I . ( potel engineers huntsville, olobomo
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- 15 212 291 282 diC C2( CC9 CEA C29 I I I 19 211 2et 299 21S CE2 EES tC6 CCC I I 1 +
1 11 216 281 200 tot EC* Cti ttE EES E I I C 5 'ht te 2et 261 262 209 ECe C99 E91 EE6 L I I C a te 265 C02 CSC 269 CSS ESL CSe CSI I I I 9 ot C02 E06 tis CSE CSA C99 C95 CSD l I ! el CIO CIC t89 CSE C95 C9e t94 CSe 'L I 1 # v si CSC Ct9 tis C09 CGS E96 E10 CS6 I I I 9 , i et COL tte tl& tlI C92 EAC tit C99 I I I i ot tta tlI Et2 tte C92 C99 091 C9E I I I , I eS EIC CES EZI Ele tte CAS tt9 C96 I I I 9 99 E20 021 E20 C21 CAG tel tsE C19 I I I 9 * ' il .
- ed EZA EE9 EEA C20 Ced C61 C62 CSE E I l j I es CE E ES CfE C01 C6E C6$ C99 L I I 5 66 C t.2 E2 C,E6 sE EES te6 C61 tse c60 L I I E t
60 EE# C99 tta tf6 C6E tel 002 tot I I I t e' al 290 IES lE 59 291 ICA 29 96 8 2 2 i 62 teS lh2 [ ' 6( 2et llA 29 96 259 899 ta e2 8 2 2 1 l 69 142 len 65 251 ttA 21 1D 25( lef 89 51 1 2 2 ' lhS 202 69 ot 2SE l+E 89 51 209 lt9 I ** 8 2 2 j 64 lee iht 66 ESe 260 59 6e ESA 291 96 lt2 8 2 2 ' 500 265 Ec2 1 v v v v v v v v v v v* 9 9 7 a
?
- .- . ~ - . . -.. ->.z .~.
e m. k.=. --. -- m m m w ase a = .- - -- - . - - - - esseesesse aNtyg IWui 13aTA LI%3lNg giantgg3 eseeeeeeee 6 12 le 24 38 36 42 4= S4 60 66 72 78 I' V V W W W W W W V W W W W I5I O 13 0.0 e.e 0.0 n.0 e.0 e.e ISP 1 3 3 0113 247.5 0.0 153 S 33 3.0113 337.5 0.0 154 6 3.0113 -0.909 0.0 155 7 3 3.0313 0.0 0.0 , 356 8 3 3.9313 22.S 6.0 ; j 157 13 31 3.0313 135.0 0.0 a 15M 14 3 4.75 247.5 0.0 ' 159 le 34 4.75 337.5 0.0
, 140 19 4.75 -0.909 0.0 161 20 3 4.75 0.0 0.0 !
162 21 3 4.75 22.5 00 l 163 26 31 4.75 135.0 0.0. 164 27 3 5.5 247.5 e.0 165 31 31 5.5 337.5 0.0 t ] 166 32 5.5 -0.999 0.0 { 167 33 3 5.5 0.0 0.0 168 34 3 5.5 22.5 00 t i
, 169 39 33 5.5 135.0 0.0 J 170 40 6.5 1 433 0.0 .
171 41 6.5 0.0 0.0 172 42 6.5 -0.999 0.0 1 173 43 6.5 -3.316 e.0 , 174 44 3 3.0313 247.5 l.75 175 4e 31 3.0313 337.5 8.7S 376 49 3.0313 -0.999 1.75 + 177 50 3 3.0333 0.0 1.75 Y6 17e 179 51 56 3 33 3.0313 3.0313 22.5 135.0 8 75 1.75 Ret 57 3 4.75 247.5 8.75 i' let 68 31 4.75 337.5 8 75 302 62 4.75 -0.909 8 7S te3 63 3 4.75 0.0 1.7S
, 104 64 3 4.75 22.5 3 75 105 69 31 4.75 135.0 1.75 106 70 3 5.5 247.5 8 7S 187 74 34 5.5 337.5 3.7%
109 75 5.5 -0.999 1.75 189 76 3 5.5 0.3 8.75 190 77 3 5.5 22.5 l.75 191 e2 33 5.5 135.t I.7S 192 03 6.5 1 433 8 7S 193 84 6.5 0.0 1.7S 194 9S 6.5 -0.999 1.75 195 B6 6.5 -3.316 5.75 196 07 3 3.0113 247.5 3.5 19F 98 31 3.0313 337.5 3.S 19e 92 3.0113 -0.909 3.5 199 93 3 3.0313 0.0 3.5 200 94 3 3.03I3 22.5 3.5 4 4 A a 4 4 A a A A A 4 4 h i 4
- 9 =g -w ere we=we- ,-
4
m em -49 _ .s-en-a. m g m m m m m m .m e-=== _ -
- *- +- -
^
U i i eeeeeeeeee AN$YS INPUT 04fA Ll%7lk6 (749[l8) eeeeeeeeee 6 12 le 24 38 36 42 en S4 60 66 72 78 v v v v v v v v v v v v v , 25I 163 -4.25 1.063 0.0 j 252 164 -8.25 0.0 0.0 i 253 165 -9.25 -0.909 0.0 254 166 -8.25 -1.887 0.0 l 255 167 -8.25 -2.938 0.0 F56 168 -9.25 -4.5 0.0 ? 257 869 -9.875 5.25 0.0 258 370 -9.875 4.098 0.0 259 171 - -9.875 2.625 0.0 260 872 -9.075 1.063 0.0 261 173 -9.875 -2.93R 0.0 2b2 174 -9.A75 -4.5 0.0 263 liS -9.875 -5.909 0.0 + 264 176 -9.875 -7.25 0.0 265 177 -15.25 5.25 0.0 I 266 178 -11 25 4.091 0.0 267 179 -18.25 2.625 0.0 268 let -88.25 1 063 0.0 } 269 181 -11.25 -2.938 0.0 270 152 -11.25 -4.5 0.0 . ; 271 183 -11.25 -5.909 0.0 ' 272 184 , -11 25 -7.25 0.0 273 18S 3 3.0313 136.0 0.67S 5 274 186 3 3.0313 157.5 0.87S 275 187 3 3.0313 180 0 0.875
; 276 158 -3.0313 -0.909 0.875 277 109 3 3.0313 202.5 0.875 I/ 278 190 3 3.0313 225.0 0.87S *
's 279 i91 3 3.03:3 246.5 0.e7S j 200 192 3 4.75 136.0 0.07S 288 193 3 4.75 157.5 0.575 282 194 3 4.75 100 0 0.075 283 19S -4.75 -0.999 0.075 284 196 3 4.75 202.5 0.875 ,
285 197 3 4.75 225.0 0.875
, 286 19e 3 4.75 246.5 0.87S -
i 287 199 3 5.5 136.0 0.475 I
; 284 200 -4.833 2.625 0.875 I i
289 Fel ~3 162 -4.5 0.#75 < j 290 202 3 5.5 246.5 0.87S
' I 298 203 -5.5 2.625 0.875 '
292 204 -5.5 1 063 0. sib 293 205 -5.5 0.0 0.875 294 206 -5.5 -0.909 0.875 295 207 -5.5 -l.817 0.87S ; 296 208 -5.5 -2.938 0.875 297 209 -5.5 -4.5 0.57$ 29s 210 -6.875 2.625 0.u75
- 299 211 -6.875 1.063 0.875 300 212 -6.875 0.0 0.07%
A A A A A A A A A A A 4 4 f 4 r
.,.-.n.-~. .
v i eseeeeeees ANSYS IDePUT pAta LI5flest. (Tapties eeessessee 6 I? 18 24 36 36 42 en 54 60 66 77 in V W W W W W W y V W W W W 35l 263 -5.5 -2.93R I.75 352 264 -5.5 -4.5 1.7S . 353 26S -6.875 2.625 8.7S i 344 266 -6.875 1 063 1.7S i 355 267 -6.475 0.0 3.FS i 356 268 -6.875 -0.999 3.75 357 269 -6.8F5 -1.837 1.75 358 270 -6.87S -2.938 l.75 359 278 -6.8F5 -4.5 3.75 360 272 -8.25 7.625 8 75 361 2F3 -8.25 3.063 8.7$ 362 2F4 -8.25 0.0 - I.FS l 363 275 -8.25 -0.909 1.FS 364 276 -8.25 -I.837 l.75 365 277 -8.25 -2.938 1.75 366 275 -u.25 -4.5 8 75 36F 279 -W.8 FS 5.25 8.7S
, 368 280 -9.875 4.091 1 75
- t , 369 281 -9.875 2.625 1.75 370 282 -9.875 1 063 3 75 .
371 283 -9.875 -2.93n 1.75 4 372 284 -9.875 -4.5 8.75 373 285 -9.875 -5.999 8.75 374 286 -9.875 -7.25 1.75 375 287 -88 25 5.25 8.75 376 288 -11 25 4.091 l.75 377 289 -11.25 2.625 l.75 D 378 290 -11.25 1 063 1.75 1 379 291 -11 25 -2.938 1.75 380 292 -11 25 -4.5 1.75 381 293 -13.25 -5.909 1.75 382 294 -11.25 -7.25 1.75 383 295 3 3.0313 136.0 2.625 384 296 3 3.0313 157.5 2.625 385 297 3 3.0333 100.0 2.625 l 386 2Vu -3.0313 -0.909 2.625 + 387 299 3 3.0313 202.5 2.62S 388 300 3 3.0313 225.0 2.62S 389 301 3 3.0313 246.5 2.625 390 302 3 4.75 136.0 2.625 4 391 303 3 4.75 157.5 2.62S i 392 304 3 4.75 100.0 2.625 393 30S -4.75 -0.989 2.62S ! 394 306 3 4.75 202.5 2.625 395 307 3 4.75 225.0 2.625 - 196 30s 3 4.75 246.5 2.62S 397 309 3 5.5 136.0 2.6?S 4 398 310 -4.833 2.625 2.625 399 318 -3.142 -4.5 2.62S j 400 312 3 5.5 246.S 2.62S ! A A A A A A A A A A & 4 A 1 l I
}i l
i 4
, -. . - - +
- -ai amens emmen ammmme amasse - amm-m ammemn - -- e - y - -
~. m
.\ /
esseeeeese ah575 thPes7 omia Ll57th6 17aoElel m ee m se 6 12 le 24 30 34 42 4P 54 60 46 72 TR i V V W W W W W W V W W W W 453 363 3 4.75 246.5 3.5 452 36* 3 5.5 136.0 3.5
*i3 365 -4.833 2.625 3.5 454 366 -3 162 -4.5 3.5 4SS 367 3 5.5 246.5 3.5 456 368 -5.5 2.625 3.5
, 457 369 -5.5 1.063 3.5 4S8 370 ~
-5.5 0.0 3.5 459 371 -5.5 -0.999 3.5 460 372 -5.5 -1.nl7 3.5
} 461 373 -5.5 -2.938 3.5 462 374 -5.5 -4.5 3.5 463 37S -6.875 2.625 3.5 l 464 376 -6.s75 1.063 3.5 l t 465 377 -6.875 0.0 3.5 . 466 37e -6.875 -0.999 3.5 i ,' 467 379 -6.875 -1.81 3.5
- 468 380 -6.875 -2.u.7 i.5 .
, 469 388 -6.e75 -4.5 3.5 470 382 -0.25 2.625 3.5 e i
. 471 303 -8.25 1 063 3.5
- 472 384 -G.25 0.0 3.5 473 385 -e.25 =0.999 3.5 474 356 -e.25 -1.817 3.5 i 475 387 -0.25 -2.938 3.5 476 38e '- 8.25 -4.5 3.5 4 477 389 -9.875 5.25 3.5 W 478 390 -9.875 4.098 3.5
,' 1 479 391 -9.875 2.625 3.5
~
1 480' 392 -9.875 1 063 3.5 l 481 393 -9.875 -2.938 3.5 482 394 -9.075 -4.5 3.5 l 483 395 -9.875 -5.999 3.5 484 396 -9.875 -7.25 3.5 i
- 465 397 -11 25 5.25 3.5 j 446 398 -18 25 4.091 3.5 .
d 447 399 -33.25 2.625 3.5 *
, 408 400 -ll.25 1 063 3.5 2 489 401 -81.25 -2.930 3.5 490 402 -11 25 -4.5 J.5 493 403 -11.25 -5.999 3.5 j 492 404 -II.25 -7.25 3.5 493 0 14 0.0 0.0 0.75 4.8 0.0 0.8 1
494 0 05 0.0 0.0 0.75 a.0 0.0 0.0 4 495 500 4 3.03l3 0.0 0.0
- 494 515 4 1 3.0313 337.5 0.0 497 516 S 0.0 -1 875 0.0
- 498 587 s 0.0 0. o.0 t 499 Sle 5 0.0 1 875 0.0 i S00 530 -87.1875 -0.909 1.75 a a a a a a a a a a a 4 a
]
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l ' i i a i 5 n----- - , - ~ - . . . . . .. ..
- -------J
_ _ _ _ . . _ . ._ .__ _~ _ _ _ _ _ _ _. L- - - % m e - es.-= e- -
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,_- /
I ] *********e 4Nty5 INPuf UATA LISTING (TAP (18) esee***ece 6 32 le 24 3e 36 42 44 54 6e 66 72 FA v v v v v v v v v v v v v 553 144 105 192 199 240 747 254 295 302 309 J50 357 552 364 -1 553 Sev 134 tel 1e9 196 744 255 299 306 354 363 -1 4 554 597 131 338 145 186 193 200 248 P48 255 296 303 555 310 -1 556 500 132 139 140 133 187 194 195 188 242 249 25e 557 243 297 298 304 345 352 353 359 368 534 535 al 558 148 149 15e ISI 152 153 154 203 PE6 205 206 207 559 208 209 258 259 268 763 262 263 Poe 533' 313 314 560 315 316 317 318 319 368 369 370 374 372 373 374 561 516 Sif 518 536 -1 562 155 156 ISF 158 15W 16e 161 21e PIl 212 233 214 l 563 215 216 265 266 267 269 269 270 Fil 320 321 322 4 564 323 324 325 326 375 376 377 378 379 380 381 533 565 -1 566 162 163 164 165 166 367 16e 217 FIS 219 22e 221 567 222 223 272 2FJ 274 275 276 277 PFS 327 328 329 568 330 331 332 333 531 534 -l ,i 569 169 ITS 171 172 173 174 175 176 724 225 226 227
- 570 220 229 238 231 279 288 281 282 203 284 285 286
- t SFI 334 335 336 33F 338 339 340 348 309 390 391 392
- 572 393 394 395 396 al 573 177 178 179 100 let 182 183 184 732 233 234 235 574 236 23F 234 239 28F 288 289 298 291 292 293 294 575 342 343 344 345 346 347 348 349 397 390 399 400 5 76 408 402 403 404 574 57F 578 5 79 -l gy 577 -1 o 578 EX 1 .299ES G3 579 ALPX 1 .65E-5 See DEN 5 I e.73E-3 581 NUXy I 0.3 582 EN 2 29.2E6 583 ALPX 2 6.5E=6 I' 584 DENS 2 0.00073 505 NUXV 2 0.3 1
586 EA 3 28.3E6 *
! 547 ALPS 3 6.5E-6 1
580 DEN 5 3 0.00073 589 NUXY 3 0.3 i 590 EE 4 29.9E6 1 591 ALPS 4 6.5E-6 592 DEN 5 4 0.0 i 593 NUxy 4 0.3 l 594 Em 5 29.9E6 4 595 ALPS 5 6.5E-6 596 DLN5 5 0.000e33 59F NUxy 5 0.3 598 -l 599 U2 2 500 7 600 U2 2 Set 8 A A A 4 4 4 A A A a A A A 4
.-em % eem-++se-
wa *- m M m m m anaam m m m m m ~. - -- ~ ~. ~. ~
~
'M
- f, mmem aN%YS INPUT DATA LI5iless Etapties m ee m ee 6 12 IS 24 3e 36 42 4e 54. 60 66 72 7A v v v v v v v v v W W W W <
651 25e us UY uZ l 652 73 un UV UZ 653 #9 UE UY U2 654 84 Us UV UZ 655 -l . 656 #fliLE a DIRECTION I 657 I I I 10 0.0 0.0 0.0 100.0 f 658 i 659 660 14 Us 0.0 UY UZ 665 16 UX 9.8 UY UZ 662 18 Ut 0.0 UY UZ 6*3 21 UK 0.0 UY UZ ( 6%6 23+ us 0.0 UY UZ 665 25 Us 0.0 UY UZ 666 138 us 9.0 UY UZ ' 667 141 Ut 0.0 UY UZ l 668 194 U2 0.0 UY UZ . *
, 669 IS2 Ut 0.0 UV UZ 670 104 Ut 0.0 UY UZ .
671 107 Us 0.0 UY UZ 672 199 UE e.9 UY UZ l 673 lit un 0.0 UY UZ t 676 358 Ut 0.0 UV UZ 675 361 UE 8.0 UY UZ , 676 -l 677 -l Y 678 -1 6 679 /TifLE Y DIRECTION 688 9 I I a.e 1.9 0.0 0.0 300.0 683 682 ' 643 / TITLE Z OlmECTION 684 0 3 3 0.0 0.8 80 0.9 100.0 60S 686 . . 687 ENU 688 FINISM i-i e i i i I, i i t
=
.* , - <. .w.ip.,%%,,
_ _ _ mm _ M
_ - A- - --
~ ~
~
_ m _ ~_ _ _ - - : -----
. . .q fx '
.s V
. ..... LOA. 5 - .R. - 40 .uSPLAC.M,M,, . ,e m s 0 RESS.,5 ..... l l l OCT AL ST0pabE RtoulREMENTS FOR L THROUGH P CARO DATA INPuf CP= 35.270 j COREm 00142633 MEMORY
- 00000003 TOTALS 00142633 MEMORY AVAILASLEs 00147770 MARIMUM STIFFNESS = 444912E413 AT ELfMENT 247 MINIMUM SilFFNESS = .394%39E.07 AT ELEMENT dll OCTAL STORA6E REeutREMENTS FOR ELEMENT FORMULATION CP= 235.290 CORE
- 00142633 MEMORY = 00000000 TOTALS 00142633 MLMORY AVAILASLEm 00147770
*.* ELEMENT SilFFNESS FORMULATION TIME S !
TYPE NUMBE R STIF TOTAL CP AVE CP 1 192 45 17T.655 925 2 8 94 4.585 .573 3 le 63 4.595 459 4 le 4 .607 .069 5 22 63 V.910 450 6 2 63 .541 .271 0 4 4 .264 .066 , 9 20 4 1.426 .071 10 6 4 .220 030 . 11 1 14 .000 .000 . 12 1 21 .000 .000 TIME AT END OF ELEMENT STIFFNESS FORMULATION CP e 235.326 y MAXIMUM IN-CORE WAVE FRONT ALLOWED FOR REQUESTED MEMORY SIZE = 220 CPe 613.956 h OCTAL STORAGE CORE- 00:426n ME 0Rv REOU.I.REME.NTS S.i3222: TOTAt. 00215054 FOR L AVE
. EMOR, FRONT. MATRI A.AitAOLE. tie rne A SOL.UTION ;
Mt.XIMUM IN-CORE v4WE FRONT IE00ATIONSp USE0= 213
*.* MATRIA SOLUTION TIMES LEA 0 IN ELEMENT STIFFNESSES CP= 5.365 .
N00AL COORD. TRANSFORMATION CP= .0ES MATRIN TRIA8000LARIZATION CP= 373 095 TIME AT END OF MATRIE TRIANeulARIZAfl0N CP = 613.965 TIME AT START OF EIGENVALUE ERTRACTION cpm 633.902 EIGENWALUE LETRACTION TIME = 34.042 CCT AL STORA6E RE00!REMENTS FOR EISENWALUF E tTRACTION CP= 659.653 CONEm 00142633 MEMORY = 00013310 TOTAL = cal 56143 MEMORY AvaILABLE= 00147770 M= ~ * *-ww
- e *- ee,e =w -
, m .==-o m m m w - - - - -==. - - ~ -~ - -- . -
- f. .
* )
- \N i
52 54kil.60 ' , 53 v6til.6v 54 46455.38 . 7 l ***** REDUCEU Mass DIStalDuflDN ***** l pow NOuE 03R WALUE 1 279 UY 43966E-02 , 2 264 UZ .90425E-02 j 3 278 UZ . 3 7679E-01 , 4 278 UY .50727E-01 1 5 278 UE .Sl39tE-02 6 576 Un .22907E-01 7 579 ut .34238E-03 1 a 578 UZ .20612E-01 9 577 ut 9420lE-02 ' ? le 258 UY 70lvlE-02 ' il 279 Us .5208tE-03 12 576 UZ .12956E-05
, 13 578 UE .25167E 01 ;
14 577 UZ .lT470E-01 .
.24630E-02 15 84 UZ
, 16 578 UY .2508tE-08 I 17 579 UZ .lT807E-01 i le 279 UZ 32043E-03 l 19 272 UY .30818E-01 '
t 20 258 UK . 04835E-02 21 286 UZ .42047E-03 ! If 22 264 UE .25435E-02 , [g 23 71 Un .16877E-02 *' 24 71 UY .38000E-02 e i 25 71 UZ .94589E-03 26 et UE .25274E-02 27 80 UY .42952E-02 - '
, 2e et UZ .ll663E-02 29 579 UY .15259E-01 30 272 UZ .37102E-Gl . , , 31 258 UZ 49019E-02 1
32 84 Un 40076E-02 < J' 286 UN .21359E-02 34 577 UY .25294E-08 35 286 UY .34134E-02
' 36 84 UY .33149E-02 '
37 272 Un .Se765E-02 ' s 38 576 UY .Ill48E-01 39 264 UY 92053E-02 1 40 566 UZ .32092E-05 41 566 UY .32219E-05 4 42 566 US .37576E-02 1 43 600 Us 1.4393
- 44 600 uY 1 4077 1 45 600 UZ l.4165 '
46 574 UZ 490ilE-02 ' 1 ' 47 574 UY e l 4 73 0E-02 48 574 Ua .82402E-02 49 570 ul .32150E-05 50 Sie UY .llF23E-05 r 4 9 A i
.e ~ .--..,--~.
+
-- w ,ma.sese' w W W M M depsmue wwt w e*-8== - wr*== -*=a==
y'- .% k /m
- \
66 *E9lA1+tS =*2livA-02 O' 0'000000 *EW2+3-SE GG 'Ek051+05 '86593-SE O' 8*000004 'tteS3-sE j' SI *%2663 + 05 *24523-09 O' 0*S00000 ' Ei t 63-9E l 52 *59921+eS *C1943-09 8* 000000 'Ct163-S( ' i-S( *69113+tS *ltiC3-05 e* 0'000000 '2St43-ot : 59 *69923+tS *12S53-09 e* s'000009 t' *25063-0E ' 380S5 30HdliN9 303JJI313N1$ J0# 10 = 10*00 00003 AW30nise3A 0vsed30 Je3e* 0vsedise9 303JdI383NAS ! i 899i i09 56 '02.E i i eetS 2 0669 ! 2 lle*22 810'2S *020E 0000 1 E EGE*le *0291 2E I'0009 l* *<
- 9 090 09 .Eet*IZ C6 6i 02 0 '9 '0 0. S 02 8
' S test *0E 8059*02 '9208 5 l*0000 9 1190'2C 1191*01 '0244 9 l*0000 1 09tS'92 C9E9*96 '0200 L I*4000 W *2891 6 *0929 80 *0teS ' e C62l*19 E620*65 '0200 0 l*0000 6 *l005 tS *0C26 81 *SISI ' i 6 DC66*t9 9E6e*29 '0200 6 l'eetS le *lCII 81 'et6E 12 *ellE I i le e91t*00 6019*9E *0290 le l'eetS 11 '09SE 12 *0291 lE '0101 =
!! 599E'9S 5092'28 *0290 !! t*0000 12
- t591 lC *OC26 89 '021$ tS *8190 '
- 59 *0125 <
i 12 99C**2E 99C2*4S '0208 tteS lE *06EI 19 '8408 tS *8481 19 '022C
- lE l'0114 IL 19 'ettE -
l lc 426i 2c 1206 44 eleS lc l'*0000 :9 *terc iS '8106 :9 e4,5 14 *e29$ > ! 80 '02lC 86 '0121 ! 19 tte9*E* 1999*eS *eret 19 l*0008 IS *talg 59 '0666 li '8EIS te *0296
- 86 'elC9 20 'el01 's IS elCI'lZ 8824'96 *0208 IS l*0000 19 '9051 lA *0012 89 '0599 14 '0291
- 20 gg '0199 2R *elle
'
- 39 SE61*6E eC69*2S *0200 89 l*0009 lA *lC2( IS *0051 14 'SEIC 2S *8202 4
.e. 25 elCS 22 tlit 3 11 6E09*61 6(9E*II '0290 'tetS 89 '9514
' 16
- 04S A 20 'eteS 21 *0259 ~
11 l'0281 42
- tE *elat 29 *0829 2S *etil 4
89 6511*E6 6515'99 '8200 0009 le 'I59 1 20 *0949 21 OC28 22 '0210 19 2E t'0249 29 '0199 2S *0826 29 'eliS EL 'SISS 16 !0$02'29 teS00't9 '0290 '0000 20 *EE25 25 '0996 22 'etaC
' 2C *0991
! 16 29 l'0290 2S *02(2 29 '0891 21 '0819 29 '8lC9 24 tlliS'81 tillE'eS '0208 0000 21 *2CDC 22 'llit 2E *0002 29 *9919 24 lOCAI 29 25 '0299 21 *0299 2O *Gt6E ! 21 llet6*91 ll6t1*2E '0290 21 l'*0000 22 'teS2 2C 'C2et 29 'latI 2S '09C2 ' i 29 *0599 21 *estI 20 ' SECS 26 '0126 CG *0509
- 22 12162*lG 82106*11 '0200 22 l*0000 2E *5990 29 'llEE 2S
- llc 2 29 '01ES .
! 24 0951 2e *e991 26 '0:95 cS *elle ct *elet - 2C 1299C*** 12990'61 '0290 2E l'*0,000 29 *E988 25 '2lO 29 '8299 21 *let ; > 2e .e et 26 eleZ te el,CE EI et22 C2 ete,E ; 29 ICC09'52 ICCSE'09 '0200 29 I*tetS 2S *1250 29 *CttE 21 '2teS 20 '1220 s 24 '0292 E# '0169 CI '0199 C2 'elCS EE *0821 !. 25 lE9Ee'SI lE9CS*10 '0200 25 l*0000 2v '926C 21 'SOEG 26 'le65 26 *9til CG '02t9 11 *0l6C tE *0199 EE *0899 C9 '0809 ' > 29 8909t'95 l$091*0E *0208 29 l*0000 21 *6582 29 'ttit 26 *0921 CO 'OCSI i tI *02+0 C2 '016E EE *0419 tt *8829 ! [ 21 itt68'6* 89l06'10 '0200 21 l*0000 2W '99Ce 26 *0996 LS 'OC2S tI '0251 5
- c2 *e200 cc sle4 C$ 'elcS )
I. 24 ttelS*6F 89912'61 *0200 20 eetS 26 '0108 ES *996E EI *0ELG C2 *0289' .~ I. E( l'0259 C9 '0599 ES '0llE 26 54005'29 ttetl'eS '0290 26 l'*0000 ES 'S289 EI *29EL C2
- t 962 - CE 'liSS
- . cS 0522 cS '0212 c9 '0281 ti ti 6 cS tiec i- ES lt996*e9 11999*EE *0208 ES l'etaD CI *9920 C2 'C208 EE *2E22 E* '00ES
- I l i
!- . - - .~ (
- .- - _- a_- - . . . . - -4d? a 1
I AN575 - fM68MEERING ANALYSIS SYSTEM Ntvl5IDN 3 UPDATE ATLI CYRelF6 JuNt 1 1979
$WANSON ANALYSl$ SYSTENS. INC. HOU57DN. PtNNSYLWANIA 15342 PNONr (4178 J46-3304
- a DinECTION 15.9809 83/ 4/25 CP= 660.934 '
I , seees EIGEhvECTOR t>0DE SHAPf l 50LuilDN ***** i KEDUCED EIGENVECTOR FOR N00E I FmEoutNCY = 104.61S ICYCLE5/ TIME 9 NODE UK UY U2 ROTa 90TV #012 i i 71 . 346048E-02 .303856E-02 465725E-04 ' 80 .214523E-02 .les095E-02 .432tT9E-04 84 .340268t-33 .ll6232E-02 .705520E-95 . 258 .21953tE-SI .33492SE-01 . 4 01235E-S S r 264 .3200J9E-01 .350806E-si .197405E-01 l 272 . 2.if7E-Gi 662048E-ei . 39922.E -G i 278 .724356E-01 666227E-01 .516300E-S I . j 279 442948 .164357 .351514 l-206 . .497415 .160908 .175402 566 .231646 .202995 .59G722E-el !' 570 .279399 524085 .714589E-el . - 574 .295666 .376900 .351572 i 576 .286337 .376460 .332782 5 577 .294378 .326324 .33132V 4 578 .314774 .388690 .145426
, 579 .312852 .330172 .144499 T.
1 588 .320675 .301998 .163540 ! i ett .287264 l.00000 .38799BE-SI '
%/
MAsinum WALUE NODES 206 6tt 286 8 8 8 l 3 DISPL .497415 3 00000 .175482 e. 8. 8 l. 4 REDUCED EIGENVECTOR FOR *e00E 2 FREOUEhCV = 11n.224 BCYCLES/11MEI i N00E UE uv U2 ROTE ROTY R072 3
, 71 .414178E-03 .277607E-03 .140557E-02 i Se .256633E-03 .361311E-03 .198274E-92 , 04 . l l6375E-03 .076771E-94 .75644DE-84 i
258 .ll2eltt-92 .22604 9E-03 .697494E-92
! 264 .202649E-02 .32248?E-06 .523413E-61 -
272 .161477E-02 .332709E-92 .594957E-91 278 .41tT2tE-42 . 135994E-92 369375 279 ~.lF4393E-91 .556834E-92 .697032E-01 286 .45347ME-01 .52A520E-92 .434979 566 .S41088 38$136 .246824 j $70 .63599n =.169080 .390942 , 1 574 .495767E-01 .23R437E-03 .336764
- t $76 .SF4570E-01 .232656E-S I .352503
- %77 .302534E-03 .248256E-01 .352379 578 .798357E-el .2 3 8 8 29E-9 3 459395 579 .145n93E-01 409224E-01 459194 SHO .707792E-ol .22832 3E-01 480095 600 .407687 .772705E-01 1 00000 J
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R P , i 1 I ANSYS - ENGINEttel804 ANALY$$$ SYSTEN NE WI$3 DN 3 UPDATE 67Lt CYPRi?6 JUset lei 9f 9 SwANSON ANALYSIS SYSTENS. IhC. 8*00510N. PtNN$YLWANIA 15342 PN0esE E4179 746-3304 ) i V OIRELil0N 15.9475 03/ 4/25 CP= 6T6.407 ; LEAD STEP NtpeHER = 2 -i , ' I i * * * *
- LO AD S TE P OP T I 0805 (CARDS L ANO 89) ***** -
WALUF WANIAlfLE COLUN8e5 . pe4NE .' i . LSA0 STEP IEEY .... . . . . O Mols 2-3 ! itNPERATUNL KEY . . . . . . . O KTEMP 4-6 NUMaER Or ITERai!ONs. . . . . I NIviER r-, SOLUTION PRINTOUT FRE00ENCY , 1 NPRINT 10-12 , fle*E AT Ete0 0F LOAD STEP. . . O. TINE 13-24 , ITER FRE0 0F POST ELEN. DATA I IFED 49-58 (CARO Np -
, ITER FREO OF POST N00AL DATA I IFes0 52-54 (CARO N3 g 4
ITER FREO OF PO$f REACT. DATA 1 IFR0 55-57 (CANO NI ' E3PAse0. DISP. PRINTOUT FREO. I NDPRNT F0-72 (CARO Ni ' SEISNIC EXCITATION DIRECTION 4.0000 1.0000 0.0000 i FREO. RANGE FOR ERPA880E0 NODES 0.0000 100.0000 . SIGaelFICAseCE CRITERION .3000E-02 t (
*ee * $PECTRUN DATA TABLE (CARO Mll *****
FRE00ENCY SPECTRute i
- s. W* 4 p
f s* u. 9 00 9. (. r 8 i 11 i j 1 a
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l I. 4 I
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SI '52661+0% =*21163-09 O' 0 000000 *Elt63-SE SE *59923+04 =*t41t]-09 O* O'*000000 E E I63-G E S( *69It1+eS *E9903-09 0* s'00000e '25913-0E
%9 *69023+05 *2S991-01 8* 0'000000 '25063-0E 3NOSS 30nd1I49 303JJt3I3NAS J0e 10 = 10*0a
- N0ni Ad1003N3A OVNd30 Ad19' OVMdIND 303d A 5311N!S i 899*91 10t*%6 '020E I l*0000 2 *466+
- 2 lle*22 110'20 '020E 2 l*0000 C CSE*le ttE'lZ *0291 C l*0000
- ete'08 et6*61 '9209
- l*0080 5 '026e
- S teSd*OC 1459*02 *0200 5 l*0000 9 119e*2C 1191*e1 *0200 9 1*0000 1 C9tS'92 09E9*96 *0204 1 l*0009 u '2191 4 *e929 IS *9881
- 4 C62l*it 0620*65 '0200 9 l*0000 6 *letS tS *SC26 lE
- 0 8 0.f ;
6 tE6A*t9 tE60'29 *ecse 6 l*0000 58 *lCII II '016E 52 *0882 fO tutt*08 ts19*0E '0208 le l*0008 II *09SE IZ *0291 lC *0891
- tI 599C**S %092'29 '0280 II l*0000 82 *t591 lE *OC26 lt *0215 IS '0150 I 19 '0125 32 99C**2E 99C2*65 '8208 lE l*0008 lC *06CI lt '0109 tS *0291 89 '822C I lA *0816 ts *8leC lC 126l*2C 1296*LA *0200 lE l*0009 lt 'LOCC tS '8106 89 '0195 81 *0295
- tS *82lC IG *8821 -
' 1* 1699*E* 199t*0S '8200 89 l*0006 tS *t119 39 *0666 tA *0EIS 12 *0296 le *0lC9 20 *0891 tS elCI'lZ 9126*96 '0280 IS I*0009 59 '9451 11 *0052 10 '0599 le *0291 28 '0199 21 *elle 19 SEni*6C 9E69*2S *0200 89 l*0008 tA *lCIC tS *0053 16 *OCIC 20 '0202 21 'tiCG 22 *ellA 8 81 600**61 6CSE'tI '0208 lA l*0008 lu '9516 16 *0691 2S *3995 2I *0259
,ee, 22 *ellA 2C '0110 29 *0829 2S *etil te 6Gt1*C6 6SAS*tS '0208 IS I*0000 84 1591 20 *0919 21 'OC21 22 *0213 ZE 0249 2$ '8199
' 2S *8826 29 *eliG 21 *OteS le 10502*29 10500*t9 '0280 16 I'*0000 20 'EERG 21 *0996 22 *091C 2E *0991 2$ *0200 2S '82E2 29 *0891 21 *elat 20 'elC9
' 24 tlliS*et 15182*0S '0280 24 l*0000 EI '2CBE 22 *lS&S 2E *0002 29 *etit ZS *0ELI 29 '0299 21 9299 2U *0leC 21 116t6*91 lt6Cd*2C '0200 28 l*4088 22 *L052 ZE 'C291 29 8291 2S *89E2 *
- 29 *9599 21 *0581 20 '0EES
- 26 '0136
' CO 0109 22 52862*15 82146*15 '0200 22 l*4460 2E *E900 2$ ' lace 2S
- llc 2 29 ' tics 21 *0951 2W *0991 26 *0195 C# *SliS CI '0102 2C 829tE'94 12990*61 *0200 ZC I*0000 29 *C000 2S *289E 29 *1290 21 *ltaC 2U *0991 26 '0102 CS *SleC tI '0122 C2 *0149 29 lCE49*S2 EEEPt*09 '0208 24 l*0000 2S *1250 29 *CSEE 21 *2teS 29 *1220 '
26 *0292 CG *0169 EI '0199 E2 ' tics CE '0121 25 lC9Ce*SI IC9ES*19 '0200 25 l*0000 29 '926E ZA *SSES 29
- lees 26 *0E21 CS *02C9 EI *016C E2 '0198 EE '0199 CS '0109 29 ttegr*eS lt09l*0E '0208 29 l*0008 24 '6512 29 *CAII 26 'et21 ES *etel CI *0299 E2 *0t65 CE *0119 E* '0129 '
21 lt86l*69 lt886*lS '0200 21 l*0000 26 *99CS 26 *4996 ES '8E2S CI '8251 8 C2 *0208 EE *0891 fo *GIES 2W ttutS*6E 86682*61 *0200 20 l*0000 26 0100 EG *S*6E EI 'OC10 C2 *020A CE *82S+ E* '0198
- CS *081(
8 76 lg04E*29 ll0tI*sS *ette 26 l*0000 EO 'G289 EI *29E1 EZ *t962 EC *liSS C# *0522 Eb '0212 09 '0281 EL *8886 CS 'SISE EO 119g6*eg lt999*fE '0290 CG l*0000 EI *992e E2 *C2eS EE *2C22 C* *88C# 8 CS 'OCeG EV *0292 EA *0199 CO '0125 C6 *0lle fI 8010I*eS 89811*et *0209 CI l*0004 E2 *9569 CC *t966 E* *8262 CS *0503 ' e
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- E%INE tRime ANALYSIS Sv5f tM ktwlSION 3 UPl# ATE 6TLt CYPRIT6 JUNE lei 9ft Sw4N5086 AhALYSIS SYSTEMS, thC. HOUSTON. PENNSYLV ANI A 15342 PHONE 64473 746-3304 2 DIRECTION 15.9409 03# 4/25 CPe 6TT.60s l
LEAD STEP NumMEp e 3
***** LOAO STEP OPTIONS IC ARUS L AND Mt *****
VALUE VARIADLE COLussNS NamE .i LCAO STEP MEr . . . . . . . . O NOIS 2-3 TEMPERATUNE KEY . . ..... 8 KTEMP 4-6 NUM9ER OF ITERATIO8es. . . . . I NITith T-9 *+ SOLUTION PRINTOUT FREOUENCY . I DePRINT 10-12 TIME AT Ese0 0F LOAD STEP. . . S. TlasE 13-24 ITER FREO OF POST ELEM. DAIA 1 IFE0 49-51 (CARO MD ITER FREO OF POST se00AL DATA I IF8so 52-54 ICARD Mt . ITER FREO OF POST REACT. DsTA 1 IFR0 55-57 ICARO Pt 4 I EXPANO. 015P. PRINTOUT FRe0. I DeUPR8ef 70-72 ICARO M3 ). SEISMIC EACITATI0es DIRECTIDst 0.0000 0.0000 1.0000 FC.EO. RAfe6E FOR E3PA8s000 8800E5 0.0000 100.0000 . SIGNIFICAseCE CRITERION .40COE-02
- l 3 ***** SPECTRust DATA TAGLE ICANO Mll *****
p FRE00ENCT SPECTRUe0
. I g e.00 9.05 8.
0, l e t I t f s j t
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- Cl t 63-t E 52 *Sts23*94 *LC+el-G* S 8*030004 *tlle3-SE S( =*t5981-99
- 0 0 00 25 E '
59 *49,513*84
*.9 2 . 5 *9 622-.9 S. * .'*.0..84 '. 25.9 >-43-S. E i
- 24 55 2oad,i.9 2.>2,ial>=iS . . i. 09
! m001 AeleniN3A OTWdlO 539' QWMdiN9 30DJJI2lih15 / I let 91 84*'56 '02SE I l*9998 2 *9669 .- 2 lle'* 22 lle'20 '020C 2 l*0009 C CSE le ESC *12 *0288 C l*0000
- ett'*te sE6*61 *0209
- l*0009 S *0269 I S test *0( 1059*92 '0200 5 l*0098 i
9 819e*2C 8191*gA *02SE 9 l*000S ' & C9ES'92 C9 C* ' 96 '0280 1 l*0009 W '2491 6 *4929 tS *9teS
'j i e C42l*A* C62S*65 *0240 8 l*0909 6- *t905 !O 'SC26 81 *0891
} 6 *C6A*t9 tE6e*29 '0208 6 l'eete le 'ICll lI *tlet 12 *ellE 4 lG 9011*09 *e19*SC '8200 tS l*0008 II *0tS( 82 *0791 lE 0891 i-II s09t**S 5092'2# *0290 11 l*0009 lE *1591 lC '0526 lt 'etaS
- tS *elle i
59 '082S IZ 99C**2( 9*E2'65 '0208 IZ 1*0008 lE '06EI lt *0448 IS *0291 I9 '022( lA '0816 le 'slet ~ l ic 42oi*2c 42 6 44 *e2ee lc l etse 89 tsEC tS lle6 19 'ea S la '9295
- 1 te '02lE le *elit
- 59 1949*E* 1****05 '0288 89 l*0008 IS *t159 I9 *0666 IL *SCIS 89 '0296 '
i 16 '01C9 28 *0891 i IS eltl*lZ 9826**4 '0208 19 '9451 li '0912 18 *4699 16 '0498 IS l*etto. 2e *0:9 ti eile - 89 SE61*6( eC6**25 '8208 I9 l*4908 14 'ittE 80 '0461 l& *SEIE 20 '0202 !1 ( %d 21 *ette 42 *ellA
- ta ete**61 6CSE't I - '0290 51 l*0998 89 '9546 16 *06DA 20 'eteS 21 *0250 '
_e,c 22 9211 2E 'tlaS ' 2$ '0829 ZS *etil I' f tS 6 Sit *t6 654$*99 '0208 le l'*$000 14 l$DA 2S *8919 28
- e C2 8 22 *0219 2E *0249 29 '0599' ZS '0126 29 '0819 21 *084$
' le 10502*29 80500*t9 '0299 9999 29 *Et2S 23 '0986 22 *ettE 2( '0991 14 l'0289 29 ' 2S '02EZ 29 'tled 21 *elat 20 '05C9 i
24 tlliS'81 11182*85 '0290 28 l*0000 4I '2ESE 22 '1519 2E *0002 29 'et&9 '*
- 2S OCAI 29 '0299 21 *0299 23 'et6E 21 llot6*98 lt6E1'2E '0240 'tteS 22 *deSP 2E *t2DS 29 *1281 25 ' GOC 2
- l' 21 49 l'0599
' 21 *0581 2D *0EES 26 *9826 CS *0109 22 12162'85 12le6*ll *0288 22 l'eetS lE *5990 20 ' late 25 'llER 29 'SAES l 4 ! 21 0951 2S *9991 26 '0195 ES *eliS CI '0502 '
2E 829*C*** 12948*61 '0290 'tteS 29
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!. 2. ice.9 52 itteE 9 02ee 29 l'eeee 2S 42Se 29 *t19E EE 24 24.S 2.R 122 '*'0189 2<
i 26 0292 C# '016B CI *089# E2 ' SICS CE '9821
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- lees 26 *SCRI CG 02C9 EI 'tlet C2 *0190 tE *sle9 C# '4109 jl 29 l*09E'eS lt491*9E *0284 29 '0590 24 '6SI2 29 *CllI 26 evdA CS 'O CSI f ED 'elde EI l'02*9
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f C2 *0208 EE *0891 C* *SIES i 29 ttets*6E 89912*61 '0208 29 l*0000 24 '0199 CG 096C EI *etaG C2 *0244 ' [ EE '0259 tt *ette tS 'ellE lateS*29 3 j 26 81008'e5 '0280 26 l*ette EG *5289 EI *29EA E2 *l*62 EC *tiSS C* *0522 ES *0212 C9 *0281 tA *elle CS *elet
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S5 lub 192 193 186 240 247 248 241 I I I 6 56 192 199 200 193 24F 254 255 240 1 1 1
. 57 200 203 204 193 255 25e 259 248 1 1 I 5e 193 204 205 '894 248 259 260 249 I I I 4 59 197 208 209 201 252 263 264 256 I I 1 , 6e 19F 208 202 198 2S2 256 257 253 I I I 61 203 210 218 204 25e 265 266 259 I I I 6
- 62 210 287 21e 2il 265 272 273 266 I I i 6 , , 63 217 226 227 Ele 272 288 2e2 273 I I I i
- 64 222 228 229 223 277 Fe3 284 2Fe ! I 1 4 4 65 224 232 233 225 279 287 288 200 t 1 I 3 <
, 66 22e 236 23F 229 283 293 292 284 I I I 3 2
67 240 24F 248 241 295 302 303 296 I I I 6* ! 6e 247 254 255 24e 302 3e9 ile 3e3 I I I ;
, 69 255 25e 259 248 380 313 384 303 I I 1 +
1 70 248 259 260 249 303 314 315 304 I I I 4 . 2 FI 2S2 263 264 256 307 388 319 333 I I i .
, F2 2S2 256 257 253 367 3tl 312 30s ! I I 73 2S8 265 266 259 313 32e 321 3I4 I I I 6 74 26S 272 273 266 320 32F 32s 321 1 I 1 6
, , 75 272 Fel 282 273 327 336 337 32e ! I I F6 277 283 284 278 332 33e 339 333 I I I 77 279 287 288 2ee 334 342 343 335 I I 1 3 f[ 78 2e3 291 292 2e4 338 346 347 339 I I I 3 tr U" 79 29S 302 363 296 350 357 35e 351 1 I 1 6 } se 302 309 380 303 357 364 36S 35e 3 I 1
, el 310 333 314 '303 365 368 369 358 I I 1
< e2 303 384 335 304 355 369 370 359 I I i 4 e3 307 Jte 319 313 362 373 374 366 I I I 84 307 313 312 300 362 366 367 363 3 1 t > e5 313 320 321 314 36e 375 376 369 I I 3 6 e6 320 32F 32e 325 37S 302 383 376 I I I 6 . ! , SF 327 336 337 320 352 394 392 383 I I I se 332 338 339 333 387 393 394 388 1 1 1 I i e9 334 342 343 335 389 397 390 398 I I I 3
, 90 33e 346 347 339 393 405 402 394 I I I J 91 240 130 13 56 247 137 26 69 1 2 2 !
92 185 192
, 93 247 137 26 69 254 144 39 82 1 2 2 ! 94 192 199 -
4- 95 257 147 27 70 253 143 14 57 1 2 2 1
! , 96 202 194 , 97 253 143 14 57 246 136 I 44 I 2 2 l 9a 19e 193 I 99 3SO 240 Sh 99 35F 247 69 112 1 2 2 ,
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. , 163 5 31 3.0313 337.5 0.8
. 164 6 3.0313 -0.909 0.8 . ! 165 7 3 3.0313 0.0 0.8 i e 166 8 3 3.0313 22.5 0.0 167 13 33 3.0313 135.0 0.9 i 160 14 3 4.75 247.5 0.0 I , 169 18 33 4.75 337.5 0.0 lie 19 4.75 -0.909 0.0 . 171 20 3 4.75 0.0 0.0
, 172 21 3 4.75 22.5 0.0 173 26 31 4.75 135.0 00 174 27 3 5.5 247.5 0.8 '
, 175 31 31 5.5 337.5 0.0 .
176 32 5.5 * -0.909 0.9 f ITT -33 3 5.5 0.0 0.0
,y 17e 34 3 5.5 22.5 0.8 en 179 39 31 5.5 135.0 0.9 M les 40 6.5 1 433 0.8 i , tel 41 6.5 s.0 0.0 102 42 6.5 -4.909 8.9 183 43 6.5 -3.316 0.0
, 184 44 3 3.9313 247.5 I.7S ISS 45 33 3.0313 337.5 1.75
, 186 49 3.0313 -0.999 8.75 .
; , 187 50 3 3.0313 0.0 1 7b j
- 18e 51 3 3.0313 22.5 1.75
- i 109 56 33 3.e313 135.0 1.75
- , 199 57 3 4.75 247.S 1.75 191 el 35 4.75 337.S 8.75 192 62 4.75 -0.909 1 7b
, 193 63 3 4.75 0.0 1 75 194 64 3 4.75 22.5 8 7b 195 69 31 4.75 13S.O 1.75 i
, 196 70 3 5.S 247.4 1.75 j 197 74 31 5.5 337.S 3.75 ,
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261 163 -8.25 1 063 0.0 262 164 -8.25 0.0 0.0 , 263 365 -e.25 -0.999 0.9 t 264 166 -8.25 -1 017 0.0 1 265 167 -8.25 -2.938 0.0 , 266 16m -8.25 -4.5 0.0 267 369 -9.875 5.25 0.0 268 lie -9.875 4.091 0.0 , 269 til -9.075 2.625 00 , 270 172 -9.875 1 863 0.0 . i til 173 -9.875 -2.938 0.9 - 272 174 -9.875 -4.5 0.0 . 273 ITS -9.875 -5.999 s.0 +1 274 176 -9.075 -7.25 0.9 275 ITF -18 25 5.25 0.0 276 178 -11.25 4.091 0.0 y 277 179 -11.25 2 625 e.0
,e 278 let -18.25 1 063 0.0 279 e' .
3 200 181 182
-14 25
-11 25
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, 208 Is3 -11 25 -5.999 00 282 184 -11.25 -7.25 0.0 283 lub 3 3.0313 136.9 0.875
, 2e4 le6 3 3.0333 157.5 0.575 f 285 187 3 3.8313 180.0 0.075 '
286 168 -3.0333 -0.999 9.87S . 207 189 3 3.0313 202.5 0.875 4 288 3 3.0313 225.0 0.875 b 190 289 191 3 3.0313 246.5 0.575 -
, 290 192 3 4.75 136.0 0.h75 ,
291 193 3 4.75 157.5 0.075 , 292 194 3 4.75 180.0 0.875
, 293 195 -4.75 -0.999 0.57S ,
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' SWANSON ANALYSj5 SYSTEM 5eINC. IS ENDE Av0 RING TO MAKE THE ANSYS PMOGRAM AS COMPLLige ACCURATE. ANO EAST TO USE A5 P055tBLL. SU6GESTIONS AND COMMENTS ARE WELCOMED. ANY ERRORS LNCOUNTERED IN ESTHER THE DOCUMENT ATION OR THE RESULis SHOULD SE lese *EDIATELY BROUGHT TO OUR AliENil0N.
***ee ANALYST e DAvlD50N t
***** ANALYSIS UPTIONS ICARDS Cl AND C2) ***** ',
WALUE WARIAWLE COLUMNS [ Nh*C m a .~ . s ge n,ay-s .f - F F" ANALYSIS TYPE . . . . . . . . O NAN 5-T RCDF 10 i . h COUPLED DE6HEES OF FREED 0a NEY I f ELEMENT CONSTANT Table . . . I RfB 11-32 REACTION FORCE REY . . . . . I RRF 15-16 POST-RUN PROCESS REY . . . . 2T MYPOST 2T-20 ADDITIONAL POST PROCE551se* REY 2 NAPOST 00 MEFERENCE TEMPERATURE . . . . 350.00 TREF 1-12 , vNIFORM TENPERATURE . . . . . 350.00 TUNIF 13-24 ELEMENT REORDERING NEY . . . I RORDER T7-10
- CORE SIZE REOUtSTED 80CTAL8 . 00200000 !
LCM SIZE HE00ESTED IOCTAL8. . 0014T770 BLOCKED DINARY F ILE N AMES . . TAPE 3 TAPE 2 TAPEli TAPE 4 TAPERO TAPE 12 { BLOCK SIZL5 . . . . . . . . . 580 500 Il60 500 Set 500 t i'i~ 4 e.... ELEMENT TYPES gCARD Os ***** , , TVPE SitF OESCRIPituN REY 5Un Opil0NS NJ IN0 IPR ; lb 14 1 2p 24 2 I 45 ISOPAR. SOLIO O O O O O O O O 2 94 16 NODE 150 PAN. SHELL 0 0 0 0 0 0 0 0 ; 3 63 0U40. FL AT SMLLL e 0 0 0 0 0 0 0
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- 6E NE R AL P0bi D A T A PROCE SSOR IPOST278 *****
+
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- TAPE = 10 L.S.= l ITER = 1
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a MAX. N00E NUMBER = 600 Nuee0ER OF ELEMENi5= 2T6
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404 .31b56tE-02 22065 FE -e2 .J99200E-02 9. 9. a. 500 .585485E-04 .403654E-03 .le2796E-04 5342SaE-04 .196u05E-03 .533608Eae4 Sol .F443b3E-04 .40133tE-03 .334301E-04 .35469hE-cJ .50702tE-03 .134093[-04 S02 86&2eFE-04 .390822E-03 .25tul6E-04 46802JE-0J 56819 3E-0 3 .334sfit-04 S03 .945242E-04 .3df 0f 0E-03 629293E-04 .6stba6E-03 .2A0542E-03 . 3 3420 5f -04 See 980651E-04 .393580E-03 524408E-04 .ul69 hee-0J 724746E-45 .335207E-04 SOS .95S74FE-04 399946E-03 780869E-04 6ml844E-GJ .2Wl839E-en .33b250E-e4 S06 860326E-04 .407234E-03 .370$76E-04 466920E-03 .So9655E-03 .334803E-04 50F .72642ME-04 .4tF056E-03 .29793st-04 .360195E-03 .510864E-03 .333983E-04 508 .5F99u4E-04 .420256E-03 .23Se66E-04 959582E-04 .195298E-03 .333563E-04 509 453522E-04 .4tf493E-03 .288007E-04 .3084F4E-03 .39528 3E-4 3 .332008E-04 ble .355047E-04 .406556E-03 .3479m3E-04 .379921E-0J 460772E-03 .529288E-04 Sil .358tb5E-04 .399665E-03 .64082FE-04 .550808E-0J .225231E< e3 .327356E-04 S12 .365314E-04 .JVIT67E-03 474362f-04 660590E-03 .367029E-45 .327356E-04 583 .35804tE-04 .387161E-03 60252tE-04 .b50216E-03 .223826E-e3 .327357E-04 Sie .348455E-04 390585E-03 .279672E-04 .37325FE-03 459209E-03 .129295E-04 bl5 443664E-04 .40108tE-03 .201804E-04 .302223E-03 .387tl5E-83 .332tlTE-04 516 .368373E-04 392458E-03 734043E-03 439006E-03 .537866E-05 .325534E-04 Sl? .5F7581E-04 38398tE-03 25232st-93 .352707E-02 495095E-05 .334634E-04 ble .829316E-04 392229E-03 900423E-0J .533793E-0J 454363E-05 .33S583E-04
- S30 .508449E-04 2504FIE-02 .232200E-02 .%29726E-03 .21920eE-03 .241988E-03 531 491214E-04 489349E-03 483000E-03 .26240!E-01 .165418E-03 .lT6483E-03 532 485507E-04 269003E-03 .2FF057E-83 .223274E-en .336580E-03 .lel458E-83 .
533 4789e9E-04 306369E-03 .32206tE-03 .380147E-01 989372[-04 .959962E-94
' 534 475092E-04 .509755E-04 632895E-04 .lS7734E-el 742822E-04 .666550E-04 S3h 465254E-04 .273862E-04 551218E-04 .30630TE-01 .309913E-03 .lF2755E-04 536 .444838E-04 342916E-04 407131E-03 .35639FE-02 .703705E-05 .ll3606E-04 . i S37 .398768E-04 138957E-e4 .358665E-04 .356397E-02 904869E-#4 .797200E-05 S38 .3fl297E-04 .428762E-05 .35970lt-05 .356397E-02 .ll5998E-04 .863795E-05 q' 539 .359116E-04 .633154E-05 5F4175E-05 .35639FE-02 .Il9262E-04 .845863E-05
.842340E-45 pa 540 .342873E-04 347358E-04 .lF6997E-04 .35639FE-02 .320013E-04
-- 55e .509225E-03 222514E-02 .t99006E-03 486091E-03 .307366E-03 .608477E-e3 551 .18599eE-02 2006 ele-02 784070E-03 4868 ace-03 .300419E-03 405085E-03 552 .955520E-03 220934E-02 715002E-03 406e35E-03 .293tFFE-03 430184E-83
.615448E-e3 553 .848975E-03 2683:0E-02 897064E-03 486779E-03 .3te95tE-03 b54 .330963E-02 269315E-02 .349773E-02 486733E-0J .382854E-03 .593430E-03 S55 .354e47E-02 231420E-02 .203223E-02 486742E-03 .3169FFE-03 .339442E-03 556 .334459E-02 2Il240E-02 .203139E-02 486788E-83 .287764E-#3 .364502E-03 557 .879294E-03 2236tlE-02 .349941E-02 486045E-83 .306efeE-03 .6006tlE-03 558 342037E-02 249912E-02 602218E-03 486957E-03 .3tl493E-03 .611399E-03 559 .360253E-02 28239tE-02 .utS378E-03 486886E-03 .3037S3E-83 .283930E-03 560 .14229 FE-02 244847E-02 80967SE-03 486030E.83 .268734E-03 .338817E-03
$65 .320266E-02 .320312E-02 802143E-0J 4u6406E-0J .3tl654E-03 .65tfe6E-83 b62 .1937FFE-02 320327E-02 .378342E-02 486668E-0J .3tl572E-03 .6te983E-03 563 .198596E-02 247691E-02 .265067E-02 486738E-83 .342998E-03 .220985E-03 S64 elf 5581E-02 215346E-02 .265246E-82 486793E-03 .265556E-03 .26tl47E-03 565 .331682E-02 .249928E-02 .lfa345E-02 486823E-8J .3tlT48E-83 .631413E-03
$66 .232945E-02 .304546E-02 .709080E-0J 48659hE-0J .32451FE-03 .56166FE-03 b67 .2145356-02 224816E-02 .563057E-e2 486902E-03 . 3 7 7 e l 3E-01 .166enlE-03
- 568 .190768C-02 274600E-62 .16S469E-02 486805E-03 .2867F2E-03 .237343C-03
$69 .194656E-02 .400393E-02 702321E-03 486773E-03 .31039tE-03 .595444E-03 SFO .28$489E-02 .398826E-02 .215166E-02 48672sE-03 .332513E-03 .5379 Fit-03 ,
bil .24t?99E-02 276472E-02 . 359673E-02 486721E-03 431404E-03 .337796E-03
$72 .2179FvE-02 .226753E-02 358470E-02 406810E-0J .303310E-03 .3594let-03 ST3 .199066E-02 .30250nE-02 .21546JE=e2 486850E-03 .320036E-03 .578418E-03 4 574 elFT433E-02 .226234E-02 .364218E-02 486060E-0J .132320E-03 .301228E-03 i $F5 els4232E-02 .206264E-02 .162095E-02 486879E-03 .367318E-03 .8934R2E-04 S F6 e l F I F FIE-02 225n82E-02 .138482E-02 48686tE-0J .4288021-93 .334l24E-03 8
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2: - - _ .;_._.. ._ ._ - . _ _ . . . _ . . . .* N __ i i i g {. SPENDIX F . AN3YS POST 23 VALVE BODY NODAL STRESS AND NODAL DISPLACEMENT DATA (HYBRID " WORST CASE" ASSEMBLY)
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1 9Jele2t-04 .wel432E-04 64el2FL-04 2 40876st-04 .deF77eE-04 47436?E-04 3 .51294?E-84 .id365?E-04 68252tL-84 4 .55R943t-04 .SW4304E-04 .2796F2E-04 5 .537949E-04 .dl6245E-te .20th04E-e4 i 6 .527tT5E-04 .aJ151RE-04 963891E-eb
, 7 .323855E-04 199223E-04 .302796E-04 1 8 .500503E-04 .JJ9444E-te .33430lE-04 9 479455E-04 3f3e53E-94 .251sl6L-84 le .3Fu?04E-04 .er3277E-04 629?f 3E-04 II .35295et-84 .wJ2157E-04 .S2440st-e4 '
12 .570ll4E-04 .sistist-84 .Fl0869t-84 13 780329E-04 844016E-04 .370576t-94 3 le .15710SE-04 .*J725DE-94 9. ' 15 .304908E-04 654793E-04 .l?se02E-04
- 16 .229066E-04 .*78210E-94 8.
17 .55060SE-04 .J45200E-84 .ll650DE-44 IS .35399FE-t* 890534E-04 e. . 19 .434899E-94 .*f0223E-OS 47044DE-85 * * ' ' " ' ' ' ar e* *
- 20 407221E-04 6 89 796E-05 .191547t-eS 21 .390573E-04 .dl646tE-94 8.
en 22 465206E-04 4c6549E-04 716692E-OS t 23 .191326E-04 .DJ5089E-04 9. ; L8 24 .IS0522E-09 . f 8 304 3E-04 .lS2047L-04 ? 25 .387454E-04 .DJ8346E-e4 9. < 26 .893514E-04 .Df 3239E-04 .243237E-04 27 .567592E-e4 .**e55?f-04 .232098E-44 28 .243090E-04 .el2544E-04 .le7699E-04
. 29 .361040E-04 .*f9993E-94 .352e49E-04 Je .556230E-04 .d45836E-04 .795380t-05 31 487464E-04 .lJ0826E-04 .3 8 thd 3L-SS 32 .3040F0E-94 .S!9tT2E-OS .230276E-sS 33 .344136E-04 .fd8287E-45 .226698E-05 34 .
- 265 3.9t -8 4 .le9777E-84 .360994E-eS JS 424279E-04 .*05717E-94 779346t-05 36 .293472t-04 386SS6E-te .Ilf 399t-04 8 37 .524532E-04 .id7Fl9E-04 .1296tet-04 36 .337019E-04 .D*4096E-04 . 3 34 722E-04 39 69MlilE-04 .D#660lt-04 .265642E-04 40 .992 Silt-04 88354tE=0S 64600St-05 43 .36345tE-04 .et?)64E-05 4a74Fet-05 42 .343396E-04 837965E-05 42679't-OS 43 .SlH49FE 94 90932?E-05 63503St-OS 44 .ts47S4E-84 .*f2932[-04 .3726e2t-e4 45 .le446st-04 63215FE-04 40946Ft-e4 ,
4 46 4277FFL-04 .elJe%IE-04 .2V?e 39E -94 ! 47 .*Fa??st-04 .*.2F44E-04 25129.t-04 em .en96%gt-04 .cS4931E-e* .2404f>t-0* 49 4736*l1-04 .lJ49S7E-04 .Jbe665t-04 l j 50 .SleR49f-04 5#Mielt-04 .l?Riest-04 i S
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J ANgys = :=41 net.el=6 agalv%15 SY5fta ktWISIW8 3 Ort)Alf 67LI CvhplF6 Je pst 1 1979 Swaw% q ah4Lv51b %YSTEMS. IbC. MOUSTDN. PtNNSVLWANIA [S342 PHONF (412$ 746=3104 CL0e 6 E MLM Watyt 4.gu LOAD CDaHlhallom PLUS OPtuat t,6 18.96%3 n1/ 3/31 Cp= m3.ls? AN575 P05T23 400AL OISPLACimE47% Lc4D STEP = 1 ITEhATION8 3 f l Kt s 8. M@E Us UV UF tel .370901E-04 .Dil042E-04 .261542t-04 102 .le9613E-04 .J55s09E-04 8. 103 49th92E-04 .dW8277E-04 .le996st-04 104 .244744E-04 600579E-05 8. ' 105 .3220l2E-04 .JW2065E-05 .MeM3vlE-OS 106 .245ttlE-04 .fD2516E-0S .6542Fet-OS 107 .3020e7E-04 .le9332E-04 8. les 416444E-04 .Je9835E-04 . l F28 7 3L-04 309 .356045L-04 403097E-04 p. Ile el90396E-04 .fe000lE-04 .2F473eE-04 Ill .553510E-04 .*66572E-06 0. Il2 .50514HE-03 .Sc4033E-04 .3b62FFE-04 313 .507730E-04 3s6964E-04 266426t-04 . 114 .274tl5E-04 .DJ3002E-04 .227719E-04 145 .345219E-04 .J90052E-04 20 7390E-04 , 136 489926E-04 .199990E-04 . 3 29355E -04 Ili .322604E-04 303224E-04 3e9465L-0$ , lle .20423BL-04 .StS530E-05 .169tFIL-05 , 119 .2F63 tnt-04 .b45306E-05 .324F92t-0S ., 120 .342144E-04 .lf533tE-04 629004L-OS 521 .3 ell 50E-04 .Jt3271E-04 .15004mE-04 P 122 .26 7569E-04 .*+4046E-04 .le6445t-04
.a 123 . 3 39420E-04 666570E-04 .241FF2t-04 124 .337376E-04 .Dd5535E-04 .219345L-04 125 .FF9766E-04 4eF293E-04 4 07 F F et-04 126 .293 35DE-04 .WW2266E-05 4294 3 3E-0S 127 .268500E-04 500464E-04 426130E-05 120 .265990E-04 9c3944E-05 454478t-05 129 43AFFIE-04 .it9323E-04 4e643eE-OS 6 130 . 794 059E-04 .fJ4205E-04 .357069E-04 133 .w93455E-04 .htn955E-04 29793st-04 .
132 .500259E-03 4 J0019E-04 .235066E-04 133 . 5 0 7139E-03 .*esF97E-04 .lF3055E-04 134 .Il4074E-03 .fl3797E-04 . t i n0 0 f t'-0 4 135 .Ilf992E-03 .wv9523E-04 347903E-04 136 954769E-04 587006E-04 637824E-04 137 .lll95lE-03 .bv4559E-04 .2737 0 3E-04 139 .36204RE-04 .de%656E-04 8. 139 .llel42E-03 . II FS89E-0 3 409423E-04
- let .3442F98-03 .lewl56E-03 7%I 39 3E-04 lol .299%27f-04 50437FE-04 8 142 194Sl4E-03 .lD9J68E-03 900tSet-04 149 494696E-04 .*W500lt-04 916998E-05 144 88454BE-04 .*fva95E-04 .2480 F FE-04 145 .324Fn6E-03 .seS292E-04 .%042J3E-04 146 .53621tE-0J .fve#94E-04 .whh l wSt -0 4 147 6JJ404t-04 394M7lE-04 ./M4040t-04 149 el51090L-03 . lS F0 35f =0 3 .30252M -03 144 .M991%6E-04 562306E-0J .%elS461-04 ISO .5127#4t-03 .Ife337E-03 74%)lvt-04 8
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- 207 .50645nE-03 .lJ9541E-03 .363434L-03 tes .366459E-93 .!Je216E-03 .269512L-03 209 .25477et-83 .!JF45eE-03 41785mE-03 tie .23300lE-03 .d le053E-0 3 .224782E-03
- til .Th6895E-04 .dd4312E-93 .3226tlE-03
- 212 505488E-04 4%5215E-03 .352449E-03 213 .94m471E-04 .tSe600E-03 223524E-03 244 .14413 3E-0 3 .de7699E-93 .34026mE-03 '
215 .28316et-93 .d*3776E-03 5093v 3E=e 3
- 216 .33305tE-03 2J2477E-e3 74 3815E-03 ,
217 .383815E-03 484278E-03 3e953SE-03 l 23r .ll*97$E-03 .*13305E-03 .226866E-03 219 .F50990E-04 .Jd6500E=e3 24443tL-03 . . . . . . . . ..,* -, . . . , 4 220 992992E-04 .Je6595E-93 .337001E-03 221 .343489E-03 .Jd4674E-03 5276S4L-03 "9 222 .258066E-03 .*d 305,4E-9 3
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%w ANsspe ANALYSIS %v5IE45. IkC. MOUSION. PthessvLv&N!4 1%347 PatnNF s.373 Ten-3104 LLow 6 INLM W At yt POST 75 PLATF% l. l>E e lCh NPP 13.4T7% h3/ 3/33 Cpe 7.PNO .
THE ANSYS PROS #AM IS IN A STAit OF C0N188800U5 UEVELOPMLNT. MotlIFICaTION. AND CH(ChlNei. htITHLk $wAN50's ANALYSl5 SY5itMS. INC. NOW IMF Co#PONAilDN SUFDLVING THL COMPulik F ACILIT8t$ FOR TMig AssALY$$$ A%SUML ANY kE%PONSIBILITY FON THL VAllulTY ACCueACY. OR APPLICAlstLITY OF ANY RESULT 5 UH145psEU F#0a8 THL AN%Y$ $Y$1EM. THE tt$th MU$i YERIFY HIS OWN RESULTS. SWANSON ANALY$l$ $V$itM$.lNC. IS ENUE Aw08stNts 10 MAKE THE ANSYS PNUGNAM AS C0eePLt1E. ACLURATE. Ass 0 EASY 10 USE AS POS$ltelt . %UO6ESTID8e5 Apod COMML8sf5 ADF WELCOMED. ANY ERR 0es ENCOUNTENEls IN LITHLR THE 00CUneFNT Ail 0N Ost THE RESHLi$ 5 MOULD HE IpesEDIATELY BROUGHT TO 0U# ATTENTION.
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4 v4LtX vaklatfLE COLussNS l ganig . . . . . . . . I5 g* ANALYSIS TYPE . . . . . . . . O RAN 5-7 l 6, COUPLE 0 Dt6u[ES OF FREE 00M KEY l RCOF IO ELEMENT CONSTANT TABLC ... I RTS 11-82 DE ACTI0es FORCE NEY . . ... I upF 15-16 POST-RUN PHOCESS REY . ... 25 kVPOST 27-20 AD0!!!ONAL POST PROCES$3N4p MEY ? NAPOST 00 , utFERfNCE TEMPERATURE . . . . 350.00 TREF l-12 I UNIFUpM TEMPEhATURE . . ... 350.00 TUNIF 13-24 s ELE MENT ploeUERING MEY s.. I MORDER if-Te - Cope 5f fE hEQUESTE0 E0CTAL8 . 40200000 i LCN SITE RLeut%iEU IUCTAL8. . 0014TTTO BLOCREU SINARY FILE NAMES . . TAPE 3 TAPE 2 TAPLll IAPL4 TAPERS TAPFt? 4 BLOCN Slith . . . . . . ... She Sne Ilhe See $d8 Sne l ..... t ure T iv e% iCA n n, ..... TYPE Silf DtSCNIPf3ON RE YSUN noi!O885 NJ INOTPO lh IA I PN 24 2 i I 45 850 Pap. s0L IO O O O O O O O O P 94 14. *erpt't IS0oAw. % HELL 0 0 0 0 0 0 0 0 : I 63 OtsA0. FL AI % HELL 0 0 0 0 0 0 0 0 3 4 4 FL A%TIL NE Am. J-o 0 0 0 0 0 1 0 0 4 5 63 smean. FL AT %HtLL 6 0 0 0 0 0 0 0 4 61 Quau. PLAT SHLLL 0 0 0 0 0 0 0 0 i 63 unau. FLAT %HtLL 0 0 0 0 0 0 0 a I q
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