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{{#Wiki_filter:NIAGARA MOHAWK POWER CORPORATION 300 ERIE BOULEVARD WEST SYRACUSE, NY 13201%Ill"JJ YO PDItlTM WIlIKf FBINII I iIVM MLI<H fILh-ATTACHNENT"TO TES LETTER 3245A-4 BOOK 1 OF 2"TMRSAP" VERIFICATION ANALYSIS nunn  
{{#Wiki_filter:NIAGARA MOHAWK POWER CORPORATION 300 ERIE BOULEVARD WEST SYRACUSE, NY 13201
%Ill"JJ YO PDItlTM WIlIKf FBINII fILh-I iIVM   MLI<H ATTACHNENT "TO TES LETTER 3245A-4 BOOK 1 OF 2 "TMRSAP" VERIFICATION ANALYSIS nunn
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                                                        ~
SEPTEMBER          21, 1979
                'VtI TELEDYNE ENGNEERIMQ SERVICES 303 BEAR HILL ROAD WALTHAM,MASSACHUSETTS 02154 617-890-3350                    V9108X0 ~ f g.
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==Dear uunov oonni ra~@Vl~t'~'I va~tvt~~tt tt'll\t t'IV~t t I tQ SEPTEMBER 21,==
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1979'VtI TELEDYNE ENGNEERIMQ SERVICES 303 BEAR HILL ROAD WALTHAM, MASSACHUSETTS 02154 w f g.617-890-3350 V9108X0~
~0
P~0 Attachment to TES Letter 3245A-4<<TELEDYNE ENGINEERING SERVICES TABLE OF CONTENTS


==1.0 INTRODUCTION==
                                                    << TELEDYNE Attachment to                                            ENGINEERING SERVICES TES  Letter 3245A-4 TABLE OF CONTENTS PAGE
: 1. 0 INTRODUCTION 2.0  BENCHMARK  VERIFICATION PROBLEMS  -


2.0 BENCHMARK VERIFICATION PROBLEMS-
==SUMMARY==
OF RESULTS 2.1            No. 1 - Hovgaard Bend                          ,2  '
Problem
: 2. 2 Prob 1 em            f No. 2 - Cof ee Table
    '2.3  Problem  No. 3 - Modified Reactor System                11 2.4  Problem  No. 323A - Piping System                        15
 
I W  TELEDYNE ENGINEERING'ERVICES Attachment to TES Letter 3245A-4
  ~$ .
 
==1.0    INTRODUCTION==
 
This report addresses the request by the Office of Nuclear Reactor Regulation (ONRR) for the verification of the Tt1RSAP comp~ter code. The information contained in this report satisfies the requirements of the computer code verification program as stated in IE Bulletin 79-07.
Four benchmark problems defined by the ONRR were analyzed for linear elastic behavior. The structural models were subjected to dynamic loading induced by earthquake type excitation (seismic spectra) in three directions.
Dynamic  solutions were determined by the modal. superposition and response spectrum method of seismic analysis, based on NRC Regulatory Guide 1.92.
 
r< TELEDYNE ENGINEERING SERVICES Attachment to TES Letter 3245A-4                      2.0   BENCHMARK   VERIFICATION PROBLEMS -


==SUMMARY==
==SUMMARY==
OF RESULTS 2.1 Problem No.1-Hovgaard Bend 2.2 Prob 1 em No.2-Cof f ee Table'2.3 Problem No.3-Modified Reactor System 2.4 Problem No.323A-Piping System PAGE ,2'11 15 I
OF RESULTS 2.1 'roblem  No. 1 - Hov aard Bend The Hovgaard Bend configuration.was-modified slightly to accom-modate a modeling requirement    for the  TMRSAP computer code. The following computer generated    plot shows the equivalent TMRSAP piping model  for the Hovgaard Bend benchmark problem. A short segment of straight pipe was
Attachment to TES Letter 3245A-4~$.W TELEDYNE ENGINEERING'ERVICES
'dded to the model at the arc center of each bend to accoranodate an elbow-to-elbow connection. This modeling resulted in slightly higher frequencies and corresponding modal participation.
 
I I
Attachmont to                                       Ss TELEDYNE TES Letter 324'5A-4                                   ENGINEERING $ ERyICES
~ LUHPED MASS SYSTEM FOR HOVGAARD BEND  BEHCHMARI'RQB. NQ.               1 Qio 0/I Pore: ClgC4E'0 A/PIV8'EiPS OZWINE'4&AKEiV7"S.
0


==1.0 INTRODUCTION==
W TELEDYNE ENGINEERING $ ERVICES Attachment to TES Letter 3245A-4 BENCHMARK PROBLEM NO. 1 HOVGAARD BEND FREQUENCIES    CPS MODE          EPIPE        TMRSAP 1            28.53          28.53 2            55.77          55.79
: 3.           81.50          81.48 4            141.70        141.70 5            162.80        162.8 MAXIMUM DISPLACEMENTS COMPONENT        NODE          EPIPE            TNRSAP X
5            0.00784        0.010797 U.            7            0.00250        0.003453 U              4            0.01745        0.024125
              'x            3            0.00018        0.000255 e              7            0.00021        0.000293 0              3            0.00007        0.0000967


This report addresses the request by the Office of Nuclear Reactor Regulation (ONRR)for the verification of the Tt1RSAP comp~ter code.The information contained in this report satisfies the requirements of the computer code verification program as stated in IE Bulletin 79-07.Four benchmark problems defined by the ONRR were analyzed for linear elastic behavior.The structural models were subjected to dynamic loading induced by earthquake type excitation (seismic spectra)in three directions.
I i
Dynamic solutions were determined by the modal.superposition and response spectrum method of seismic analysis, based on NRC Regulatory Guide 1.92.
e


Attachment to TES Letter 3245A-4-2-r<TELEDYNE ENGINEERING SERVICES 2.0 BENCHMARK VERIFICATION PROBLEMS-
                                                    <<  TELEDYNE ENGINEERING SERVICES Attachment to TES Letter 3245A-4                                               BENCHMARK PROBLEM NO. 1 HOVGAARD BEND MAXIMUM'ELEMENTLOADS COMPONENT  ELEMENT          EPIPE      ELEMENT    TMRSAP Px(1)          7            28.1          8          37.0 VY(I)          1            36.4          1          50.2 vz(I)        10              34.8        12          45.7 MY( I)      10            1871.0        12      2561.0 Mz(I)          1          3227.0          1      4458.0 TX( I)        3            629.6          3        868.2 Px(J)          7            26.7          9        33.8
        -VY(J)          1            36.4          1      ~
50.3 vz(J)        10              34.8        12          45.7 MV(~l}      an J \/
npqa n  II JC                  '356.0 Mz(v)          8          1380.0        10                '909.0 Tx(v)          1            629.6          1        868.2


==SUMMARY==
C r> TELEDYNE ENGIREERIMG SERVlCES Attachment  to-TES  Letter 3245A-4                                                      BENCHMARK PROBLEM NO. 1 HOVGAARD BEND
OF RESULTS 2.1'roblem No.1-Hov aard Bend The Hovgaard Bend configuration.was-modified slightly to accom-modate a modeling requirement for the TMRSAP computer code.The following computer generated plot shows the equivalent TMRSAP piping model for the Hovgaard Bend benchmark problem.A short segment of straight pipe was'dded to the model at the arc center of each bend to accoranodate an elbow-to-elbow connection.
                      ~
This modeling resulted in slightly higher frequencies and corresponding modal participation.
GENERALIZED MODAL PARTICIPATION DIRECTION FACTORS:    X =   1.0, Y = 0.6667, Z = 1.0 E PIPE MODAL PARTICIPATION MODE              'x            P            P              /P,.I  D,.
1            0.1752      -0.02593        -0.3308          0.52328 2             0.3628      -0.002074        0.1478          0.51198 3            -0.05397    -0.2582        -0.02793        0.25404 4            0.08361    -0.05268        -0.01174        0.13047 5            -0.07925      0.06605        -0.01115        0.13473 TMRSAP MODAL PARTICIPATION z
MODE              'x            P                            PE  xD ~
1             0.1754      -.02596      -.3309            0.52360 2            0.3628        .002035      .1479        ~
0.51205 3            -.05405      -.2582          .02795          0.25414 4            0.08386      -.05280      -.01153          0.13059 5            -.07926        .06634      -.01116          0.13465
 
                                                        >< TELEDYNE ENGINEERING SERVICES Attachment to TES Letter 3245A-4 C
2.2  Problem No. 2 - Coffee Table A  computer, generated  isometric plot of Benchmark Problem No. 2 is shown on the following page. The configuration for the TNRSAP computer code is the same as the EPIPE model with the exception of the element numbering..The element connectivity was defined differently for ease of input to 'THRSAP. The results between Tt1RSAP and EPIPE are in excellent agreement as shown in the following tables which summarize the frequencies, maximum  displacements  and maximum element  loads.
 
A TELEDYNE ENGINEERING SERVICES Attachment to
  'ES    Letter 3245A-4            DYNAMI'C RESPONSE      OF A COFFEE TABLE (RESPONSE    SPECTRUM  ANALYSISi OiB Q7 l3 I2 Qw Qo QI
 
0 r< TELEDYNE ENGINEERING SERVICES Attachment to TES Letter 3245A-4                                              BENCHMARK PROBLEM NO. 2 COFFEE TABLE FREQUENCIES ('CPS)
MODE          EPIPE            TMRSAP 1              8.71              8.71 2              8.81              8.804
                    -3              17.51            17.50 4              40.37            40.36 5              41.63            41.62 MAXIMUM 0 I SPLACEMENTS COMPONENT      NODE            EPIPE            TRRSAP (j            11            n nr~nn        0.46203 x
U            13            0.00236        0.0023598 U            13            0.4464          0.44691 ex            3            0.00654        0.006546 Oy            14            0.00001        0.0000127 ez            4            0.00672        0.006722
 
Attachment to                                        ENQINEERIRG SERVICES TES  Letter 3245A-4                                            BENCHMARK PROBLEM NO. 2 COFFEE TABLE MAXIMUM ELEMENT LOAOS COMPONENT  ELEMENT          EPIPE      ELEMENT    TMRSAP Px(I)        1            555.4        1      .555.8 VY(I)        3          468.7        3        469.2 Vz(I)        1            109.3        1        109.3 MY(I)        1          5229.0        1      5230.0 Mz( I)        1          5135.0        1      5141.0
                        '1 TX(I)                        1.61      1          1.61 Px(J)        1          555.4        1        555.8 VY(J)        3          468.7        3        469.2 vz(J)        1          109.3        1        109.3 MY(V)        6          5229.0        6      5230.0
        -'Mz(v)      '6          513>.0        6      5141.0-Tx(v)        1              1.61      1          1.61
 
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                                                    >< TELEDYNE Attachment to                                          ENGINEERING SERVICES TES  Letter 3245A-4                        2.3  Problem Ho. 3 - Modified Reactor  S stem
          . The Modified Reactor System model was modified to accommodate elbow-to-elbow connections from the four corners of the model to the center point, node 8. The following computer generated plot shows the equivalent TMRSAP piping model for the Modified Reactor System.     Each of the four outside loops (bend elements) were modeled as an equivalent series of three elements (tangent-bend-tangent). The results between the TMRSAP and EPIPE computer codes are in good agreement as shown in the following tables which summarize the frequencies, maximum displacements, and maximum element loads.
 
    ~o J'p
 
A TELEDYNE
~:      Attachment to                             ENGINEERINQ SERVICES TES  Letter 3245A-4      Bl:HHARK j'ROBLEH NO. 3 DYNAMIC RESPONSE OF R NODIFIED RERCTOR SYSTEN IB 0
 
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                                                    -S<-TELEDYNE Attachment to                                              ENGINEERING SERVICE$
TES  Letter 3245A-4                                          NRC BENCHMARK PROBLEM NO.      3 FREQUENCIES (CPS)
MODE            EP IPE              TMRSAP 1              1.806                1.805 2              1.875                1.874 3              3.205                3.204 4              3.480                3.480 5              3.539                3.540 6              3.645                3.645 MAXIMUM. 0 I SPLAC EMENTS TMRSAP COMPONENT    NODE        EPIPE          ~SRSS)      'CLUSTER)
X 13      5.32223        4. 5717,          6. 2988 Vo V%00/        v.Oee5o            0.04908 UZ          13      5.39637        4.7243            6.4084 e
X 13      0.09062        0.07763            0.10689 ey          12      0.00192        0.001866          0.001968 ez          13      0.09036        0.07763            0.10689
 
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                                                  -r<-TELEDYNE ENQlMEERlNQ SERV)CES Attachment to TES  Letter 3245A-4                    4k NRC BENCHMARK PROBLEM NO. 3
                                  . MAXIMUM ELEMENT LOADS ELEMENT      EPIPE        ELEMENT                TMRSAP COMPONENT        NO.      (CLUSTER)        NO.        ~SRSS        ~CLUSTER PX(I)            1        3243.0          1          3028.0        3574.0 VY(I)                      2109.0                      2009.0        2155.0 vz(I)            3          635.0                        563.0          747.0 TX(I)          14        4110.0          20          3596.0        4592.0 MY(I)                      7823.0                      7623.0        8181.0 20        971 AA ~ A                  32570.0        44140.0 Mz(,I)                    VPRNV    V I
PX(V)                      3243. 0                      3028.0        3574.0 VY(J)            3        2109.0          3          2009.0        2155.0 vz(J)          16          930.0        25            430.0          590.0 TX(J)          18        3866.0          14          3454.0        4484.0, MY(C)            6        7891.0          6          7611.0        8243.0 Mz(c)          15        14030.0          13          10840.0        12070.0
 
~o r>-TELEDYNE Attachment to                                           ENGINEERING SERVICES TES  Letter 3245A-4                          2.4  Problem No. 323A  - Pi in  System
          . The  piping system defined in problem  323A was analyzed with the  THRSAP  computer code  for each seismic spectra  separately and the results of each response spectrum analysis were combined by taking the square root of the sum of the squares (SRSS) of corresponding maximum values of the spectrum response. The results of the maximum displacements are shown on the following pages arid they are in close agreement with the EPIPE results supplied by the NRC. The NRC supplied data for this benchmark problem did not include element loads; therefore, they are not summarized for this  problem.
 
~e PIPING BENCH MARK PRQBLEM  323A          O ID M ID 6 et T
                                  %6  4J et MO Ol I
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                                      ~Pl g~
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I I Attachmont to TES Letter 324'5A-4 Ss TELEDYNE ENGINEERING
~e Ph  TELEDYNE Attachment to                                           ENGlNEERlMQ SERVlcE$
$ERyICES~LUHPED MASS SYSTEM FOR HOVGAARD BEND-BEHCHMARI'RQB.
TES Letter 3245A-4                                                BENCHMARK PROBLEM NO. 323A PIPING SYSTEM FRE UENCIES (CPS)
NQ.1 Qio 0/I Pore: ClgC4E'0 A/PIV8'EiPS OZWINE'4&AKEiV7"S.
NODE          EP  IPE        TMRSAP 1            6.39          6.39 2              9.99          9.99 3-           13.27          13.27 4           14.49          14.49 5            15.33          15.33 6            17.50          17.50 7            19.09          19.09 8            19.62          19.63 9          21.44            21.44 10          28.71            28.71 11          29.86            29.87 12          31.48            31.49 13          32.01            32.01
0
~ e                    14 15 16 36.37 nnV ~ no
                                      ~
41.37 36.37 41.37 17          47.39            47.40 18          49.77            49.77 19          50.13            50.13 20          52.93            52.94 21          56.90            56.91 22          58.51            58.52 23          67.47            67.47 24          70.46            70.'47 25          75.41            75.42 26          79.18            79.20 27          80.74            80.75 28          86.11        . 86.12 29          88.28            88.33 30          92.74            92.74 31          99.36            99.37


Attachment to TES Letter 3245A-4 W TELEDYNE ENGINEERING
~o r< TELEDYNE Attachment to                                           ENGjNEERlNG SERVlCES TES Letter 3245A-4 o                                                          NRC BENCHMARK PROBLEM   323A PIPING SYSTEM TMRSAP MAXIMUM DISPLACEMENTS SRSS          CLUSTER u NODE 31      X-SPECTRA      .020751        .020785 Y-SPECTRA      .0020513        .0020675 Z-SPECTRA      .010887        .010943 SRSS =      .023523        .0235805 u> NODE 35      X-SPECTRA      .051633        .051638 Y-SPECTRA      .057385.       .057386 Z-SPECTRA      .010441        .010448 SRSS =      .077897        .077902 u    NODE  36  X-SPECTRA      .013009        .013101 Y-SPECTRA      .0028254        .0028406 Z-SPECTRA      .0068936        .0069855 SRSS =      .014991          .015116 e  NODE  35    X-SPECTRA      .00021197      .00021198 Y-SPECTRA      .00023513      .00023518 Z-SPECTRA      .000043568      .000043607 SRSS =      .00031955      .000319604 NODE 35      X-SPECTRA      .000084048      .000084152 Y-SPECTRA      .000012717      .000013047 Z-SPECTRA      .000043608      .000043729 SRSS =      .000095565      .000095728
$ERVICES BENCHMARK PROBLEM NO.1 HOVGAARD BEND MODE 1 2 3.4 5 FREQUENCIES CPS EPIPE 28.53 55.77 81.50 141.70 162.80 TMRSAP 28.53 55.79 81.48 141.70 162.8 MAXIMUM DISPLACEMENTS COMPONENT X U.U'x e 0 NODE 5 7 4 3 7 3 EPIPE 0.00784 0.00250 0.01745 0.00018 0.00021 0.00007 TNRSAP 0.010797 0.003453 0.024125 0.000255 0.000293 0.0000967 I ie Attachment to TES Letter 3245A-4-5-<<TELEDYNE ENGINEERING SERVICES BENCHMARK PROBLEM NO.1 HOVGAARD BEND MAXIMUM'ELEMENT LOADS COMPONENT Px(1)VY(I)vz(I)MY(I)Mz(I)TX(I)Px(J)-VY(J)vz(J)MV(~l}Mz(v)Tx(v)ELEMENT 7 1 10 10 1 3 7 1 10 an J\/8 1 EPIPE 28.1 36.4 34.8 1871.0 3227.0 629.6 26.7 36.4 34.8 npqa n I 1380.0 629.6 ELEMENT 8 1 12 12 1 3 9 1 12 I JC 10 1 TMRSAP 37.0 50.2 45.7 2561.0 4458.0 868.2 33.8~50.3 45.7'356.0'909.0 868.2 C
Attachment to-TES Letter 3245A-4-6-r>TELEDYNE ENGIREERIMG SERVlCES BENCHMARK PROBLEM NO.1 HOVGAARD BEND~GENERALIZED MODAL PARTICIPATION DIRECTION FACTORS: X=1.0, Y=0.6667, Z=1.0 E PIPE MODAL PARTICIPATION MODE 1 2 3 4 5'x 0.1752 0.3628-0.05397 0.08361-0.07925 P-0.02593-0.002074-0.2582-0.05268 0.06605 P-0.3308 0.1478-0.02793-0.01174-0.01115/P,.I D,.0.52328 0.51198 0.25404 0.13047 0.13473 TMRSAP MODAL PARTICIPATION MODE 1 2 3 4 5'x 0.1754 0.3628-.05405 0.08386-.07926 P-.02596.002035-.2582-.05280.06634-.3309.1479.02795-.01153-.01116 z PE xD~0.52360~0.51205 0.25414 0.13059 0.13465


Attachment to TES Letter 3245A-4 C><TELEDYNE ENGINEERING SERVICES 2.2 Problem No.2-Coffee Table A computer, generated isometric plot of Benchmark Problem No.2 is shown on the following page.The configuration for the TNRSAP computer code is the same as the EPIPE model with the exception of the element numbering..The element connectivity was defined differently for ease of input to'THRSAP.The results between Tt1RSAP and EPIPE are in excellent agreement as shown in the following tables which summarize the frequencies, maximum displacements and maximum element loads.
  ~l T


Attachment to'ES Letter 3245A-4-8-A TELEDYNE ENGINEERING SERVICES DYNAMI'C RESPONSE OF A COFFEE TABLE (RESPONSE SPECTRUM ANALYSISi OiB Q7 I2 l3 Qo Qw QI 0
r< TELEDYNE ENGINEER)NG SERVICES Attachment to TES Letter 3245A-4                                       NRC BENCHMARK PROBLEM   323A PIPING SYSTEM MAXIMUM D ISPLACEMENTS SRSS              CLUSTER eNODE 38        X-SPECTRA      .00020599          .00020606 Y-SPECTRA      .00022871          .00022872 Z-SPECTRA      .000042008          .000042082 SRSS  =      .00031065          .00031071 n T %PI Al FMFhl ) cl IMMARY COMPONENT         NODE             EPIPE             TNRSAP x
Attachment to TES Letter 3245A-4-9-r<TELEDYNE ENGINEERING SERVICES BENCHMARK PROBLEM NO.2 COFFEE TABLE MODE 1 2-3 4 5 FREQUENCIES
31          0.02354            0.02352 U              35            0.07789            0.07789 UZ              36            0.01500            0.01499 ex              35            0.00032            0.00032 ey              35            0.00010            0.000095 ez              38            0.00031            0.00031 NOTE:  ELEMENT LOAD DATA WERE NOT SUPPLIED BY NRC.
('CPS)EPIPE 8.71 8.81 17.51 40.37 41.63 TMRSAP 8.71 8.804 17.50 40.36 41.62 MAX IMUM 0 I SPLACEMENTS COMPONENT (j x U U ex Oy ez NODE 11 13 13 3 14 4 EPIPE n nr~nn 0.00236 0.4464 0.00654 0.00001 0.00672 TRRSAP 0.46203 0.0023598 0.44691 0.006546 0.0000127 0.006722


Attachment to TES Letter 3245A-4-10-ENQINEERIRG SERVICES BENCHMARK PROBLEM NO.2 COFFEE TABLE MAXIMUM ELEMENT LOAOS COMPONENT Px(I)VY(I)Vz(I)MY(I)Mz(I)TX(I)Px(J)VY(J)vz(J)MY(V)-'Mz(v)Tx(v)ELEMENT 1 3 1 1 1'1 1 3 1 6'6 1 EPIPE 555.4 468.7 109.3 5229.0 5135.0 1.61 555.4 468.7 109.3 5229.0 513>.0 1.61 ELEMENT 1 3 1 1 1 1 1 3 1 6 6 1 TMRSAP.555.8 469.2 109.3 5230.0 5141.0 1.61 555.8 469.2 109.3 5230.0 5141.0-1.61 l~e Attachment to TES Letter 3245A-4-11-><TELEDYNE ENGINEERING SERVICES 2.3 Problem Ho.3-Modified Reactor S stem.The Modified Reactor System model was modified to accommodate elbow-to-elbow connections from the four corners of the model to the center point, node 8.The following computer generated plot shows the equivalent TMRSAP piping model for the Modified Reactor System.Each of the four outside loops (bend elements)were modeled as an equivalent series of three elements (tangent-bend-tangent).
I' A I,
The results between the TMRSAP and EPIPE computer codes are in good agreement as shown in the following tables which summarize the frequencies, maximum displacements, and maximum element loads.
  ~o}}
~o J'p A TELEDYNE ENGINEERINQ SERVICES~: Attachment to TES Letter 3245A-4-12-Bl:HHARK j'ROBLEH NO.3 DYNAMIC RESPONSE OF R NODIFIED RERCTOR SYSTEN IB 0
~e Attachment to TES Letter 3245A-4-13--S<-TELEDYNE ENGINEERING SERVICE$NRC BENCHMARK PROBLEM NO.3 MODE 1 2 3 4 5 6 FREQUENCIES (CPS)EP IPE 1.806 1.875 3.205 3.480 3.539 3.645 TMRSAP 1.805 1.874 3.204 3.480 3.540 3.645 MAX IMUM.0 I SPLAC EMENTS COMPONENT X UZ e X ey ez NODE 13 13 13 12 13 EPIPE 5.32223 Vo V%00/5.39637 0.09062 0.00192 0.09036 TMRSAP~SRSS)'CLUSTER)4.5717, 6.2988 v.Oee5o 0.04908 4.7243 6.4084 0.07763 0.10689 0.001866 0.001968 0.07763 0.10689
~e Attachment to TES Letter 3245A-4 4k-14--r<-TELEDYNE ENQlMEERlNQ SERV)CES NRC BENCHMARK PROBLEM NO.3.MAXIMUM ELEMENT LOADS COMPONENT PX(I)VY(I)vz(I)TX(I)MY(I)Mz(,I)PX(V)VY(J)vz(J)TX(J)MY(C)Mz(c)ELEMENT NO.1 3 14 20 3 16 18 6 15 EPIPE (CLUSTER)3243.0 2109.0 635.0 4110.0 7823.0 971 AA A VPRNV~V I 3243.0 2109.0 930.0 3866.0 7891.0 14030.0 ELEMENT NO.1 20 3 25 14 6 13~SRSS 3028.0 2009.0 563.0 3596.0 7623.0 32570.0 3028.0 2009.0 430.0 3454.0 7611.0 10840.0 TMRSAP~CLUSTER 3574.0 2155.0 747.0 4592.0 8181.0 44140.0 3574.0 2155.0 590.0 4484.0, 8243.0 12070.0
~o Attachment to TES Letter 3245A-4-15-r>-TELEDYNE ENGINEERING SERVICES 2.4 Problem No.323A-Pi in System.The piping system defined in problem 323A was analyzed with the THRSAP computer code for each seismic spectra separately and the results of each response spectrum analysis were combined by taking the square root of the sum of the squares (SRSS)of corresponding maximum values of the spectrum response.The results of the maximum displacements are shown on the following pages arid they are in close agreement with the EPIPE results supplied by the NRC.The NRC supplied data for this benchmark problem did not include element loads;therefore, they are not summarized for this problem.
~e PIPING BENCH MARK PRQBLEM-323A T%6 O ID M ID 6 et 4J et MO Ol I I6 Pl~Pl g~z8 Pl~Sm Q V)Pl C 0 Pl 0)
~e Attachment to TES Letter 3245A-4-17-Ph TELEDYNE ENGlNEERlMQ SERVlcE$BENCHMARK PROBLEM NO.323A PIPING SYSTEM~e NODE 1 2 3-4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 FRE UENCIES (CPS)EP IPE 6.39 9.99 13.27 14.49 15.33 17.50 19.09 19.62 21.44 28.71 29.86 31.48 32.01 36.37 nn no~V~41.37 47.39 49.77 50.13 52.93 56.90 58.51 67.47 70.46 75.41 79.18 80.74 86.11 88.28 92.74 99.36 TMRSAP 6.39 9.99 13.27 14.49 15.33 17.50 19.09 19.63 21.44 28.71 29.87 31.49 32.01 36.37 41.37 47.40 49.77 50.13 52.94 56.91 58.52 67.47 70.'47 75.42 79.20 80.75.86.12 88.33 92.74 99.37
~o Attachment to o TES Letter 3245A-4-18-r<TELEDYNE ENGjNEERlNG SERVlCES NRC BENCHMARK PROBLEM 323A PIPING SYSTEM TMRSAP MAXIMUM DISPLACEMENTS uNODE 31 X-SPECTRA Y-SPECTRA Z-SPECTRA SRSS=SRSS.020751.0020513.010887.023523 CLUSTER.020785.0020675.010943.0235805 u>NODE 35 X-SPECTRA Y-SPECTRA Z-SPECTRA SRSS=.051633.057385..010441.077897.051638.057386.010448.077902 u NODE 36 X-SPECTRA Y-SPECTRA Z-SPECTRA SRSS=.013009.0028254.0068936.014991.013101.0028406.0069855.015116 e NODE 35 X-SPECTRA Y-SPECTRA Z-SPECTRA SRSS=.00021197.00023513.000043568
.00031955.00021198.00023518.000043607
.000319604 NODE 35 X-SPECTRA Y-SPECTRA Z-SPECTRA SRSS=.000084048
.000012717
.000043608
.000095565
.000084152
.000013047
.000043729
.000095728
~l T Attachment to TES Letter 3245A-4-19-r<TELEDYNE ENGINEER)NG SERVICES NRC BENCHMARK PROBLEM 323A PIPING SYSTEM MAXIMUM D ISPLACEMENTS eNODE 38 X-SPECTRA Y-SPECTRA Z-SPECTRA SRSS=SRSS.00020599.00022871.000042008
.00031065 CLUSTER.00020606.00022872.000042082
.00031071 n T%PI Al FMFhl)cl IMMARY COMPONENT x U UZ ex ey ez NODE 31 35 36 35 35 38 EPIPE 0.02354 0.07789 0.01500 0.00032 0.00010 0.00031 TNRSAP 0.02352 0.07789 0.01499 0.00032 0.000095 0.00031 NOTE: ELEMENT LOAD DATA WERE NOT SUPPLIED BY NRC.
I'A I,~o}}

Latest revision as of 08:06, 30 October 2019

Tmrsap Verification Analysis,Ofc of Nuclear Reactor Regulation Benchmark Problems, Books 1 & 2
ML17053B130
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Site: Nine Mile Point Constellation icon.png
Issue date: 09/21/1979
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Text

NIAGARA MOHAWK POWER CORPORATION 300 ERIE BOULEVARD WEST SYRACUSE, NY 13201

%Ill"JJ YO PDItlTM WIlIKf FBINII fILh-I iIVM MLI<H ATTACHNENT "TO TES LETTER 3245A-4 BOOK 1 OF 2 "TMRSAP" VERIFICATION ANALYSIS nunn

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SEPTEMBER 21, 1979

'VtI TELEDYNE ENGNEERIMQ SERVICES 303 BEAR HILL ROAD WALTHAM,MASSACHUSETTS 02154 617-890-3350 V9108X0 ~ f g.

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<< TELEDYNE Attachment to ENGINEERING SERVICES TES Letter 3245A-4 TABLE OF CONTENTS PAGE

1. 0 INTRODUCTION 2.0 BENCHMARK VERIFICATION PROBLEMS -

SUMMARY

OF RESULTS 2.1 No. 1 - Hovgaard Bend ,2 '

Problem

2. 2 Prob 1 em f No. 2 - Cof ee Table

'2.3 Problem No. 3 - Modified Reactor System 11 2.4 Problem No. 323A - Piping System 15

I W TELEDYNE ENGINEERING'ERVICES Attachment to TES Letter 3245A-4

~$ .

1.0 INTRODUCTION

This report addresses the request by the Office of Nuclear Reactor Regulation (ONRR) for the verification of the Tt1RSAP comp~ter code. The information contained in this report satisfies the requirements of the computer code verification program as stated in IE Bulletin 79-07.

Four benchmark problems defined by the ONRR were analyzed for linear elastic behavior. The structural models were subjected to dynamic loading induced by earthquake type excitation (seismic spectra) in three directions.

Dynamic solutions were determined by the modal. superposition and response spectrum method of seismic analysis, based on NRC Regulatory Guide 1.92.

r< TELEDYNE ENGINEERING SERVICES Attachment to TES Letter 3245A-4 2.0 BENCHMARK VERIFICATION PROBLEMS -

SUMMARY

OF RESULTS 2.1 'roblem No. 1 - Hov aard Bend The Hovgaard Bend configuration.was-modified slightly to accom-modate a modeling requirement for the TMRSAP computer code. The following computer generated plot shows the equivalent TMRSAP piping model for the Hovgaard Bend benchmark problem. A short segment of straight pipe was

'dded to the model at the arc center of each bend to accoranodate an elbow-to-elbow connection. This modeling resulted in slightly higher frequencies and corresponding modal participation.

I I

Attachmont to Ss TELEDYNE TES Letter 324'5A-4 ENGINEERING $ ERyICES

~ LUHPED MASS SYSTEM FOR HOVGAARD BEND BEHCHMARI'RQB. NQ. 1 Qio 0/I Pore: ClgC4E'0 A/PIV8'EiPS OZWINE'4&AKEiV7"S.

0

W TELEDYNE ENGINEERING $ ERVICES Attachment to TES Letter 3245A-4 BENCHMARK PROBLEM NO. 1 HOVGAARD BEND FREQUENCIES CPS MODE EPIPE TMRSAP 1 28.53 28.53 2 55.77 55.79

3. 81.50 81.48 4 141.70 141.70 5 162.80 162.8 MAXIMUM DISPLACEMENTS COMPONENT NODE EPIPE TNRSAP X

5 0.00784 0.010797 U. 7 0.00250 0.003453 U 4 0.01745 0.024125

'x 3 0.00018 0.000255 e 7 0.00021 0.000293 0 3 0.00007 0.0000967

I i

e

<< TELEDYNE ENGINEERING SERVICES Attachment to TES Letter 3245A-4 BENCHMARK PROBLEM NO. 1 HOVGAARD BEND MAXIMUM'ELEMENTLOADS COMPONENT ELEMENT EPIPE ELEMENT TMRSAP Px(1) 7 28.1 8 37.0 VY(I) 1 36.4 1 50.2 vz(I) 10 34.8 12 45.7 MY( I) 10 1871.0 12 2561.0 Mz(I) 1 3227.0 1 4458.0 TX( I) 3 629.6 3 868.2 Px(J) 7 26.7 9 33.8

-VY(J) 1 36.4 1 ~

50.3 vz(J) 10 34.8 12 45.7 MV(~l} an J \/

npqa n II JC '356.0 Mz(v) 8 1380.0 10 '909.0 Tx(v) 1 629.6 1 868.2

C r> TELEDYNE ENGIREERIMG SERVlCES Attachment to-TES Letter 3245A-4 BENCHMARK PROBLEM NO. 1 HOVGAARD BEND

~

GENERALIZED MODAL PARTICIPATION DIRECTION FACTORS: X = 1.0, Y = 0.6667, Z = 1.0 E PIPE MODAL PARTICIPATION MODE 'x P P /P,.I D,.

1 0.1752 -0.02593 -0.3308 0.52328 2 0.3628 -0.002074 0.1478 0.51198 3 -0.05397 -0.2582 -0.02793 0.25404 4 0.08361 -0.05268 -0.01174 0.13047 5 -0.07925 0.06605 -0.01115 0.13473 TMRSAP MODAL PARTICIPATION z

MODE 'x P PE xD ~

1 0.1754 -.02596 -.3309 0.52360 2 0.3628 .002035 .1479 ~

0.51205 3 -.05405 -.2582 .02795 0.25414 4 0.08386 -.05280 -.01153 0.13059 5 -.07926 .06634 -.01116 0.13465

>< TELEDYNE ENGINEERING SERVICES Attachment to TES Letter 3245A-4 C

2.2 Problem No. 2 - Coffee Table A computer, generated isometric plot of Benchmark Problem No. 2 is shown on the following page. The configuration for the TNRSAP computer code is the same as the EPIPE model with the exception of the element numbering..The element connectivity was defined differently for ease of input to 'THRSAP. The results between Tt1RSAP and EPIPE are in excellent agreement as shown in the following tables which summarize the frequencies, maximum displacements and maximum element loads.

A TELEDYNE ENGINEERING SERVICES Attachment to

'ES Letter 3245A-4 DYNAMI'C RESPONSE OF A COFFEE TABLE (RESPONSE SPECTRUM ANALYSISi OiB Q7 l3 I2 Qw Qo QI

0 r< TELEDYNE ENGINEERING SERVICES Attachment to TES Letter 3245A-4 BENCHMARK PROBLEM NO. 2 COFFEE TABLE FREQUENCIES ('CPS)

MODE EPIPE TMRSAP 1 8.71 8.71 2 8.81 8.804

-3 17.51 17.50 4 40.37 40.36 5 41.63 41.62 MAXIMUM 0 I SPLACEMENTS COMPONENT NODE EPIPE TRRSAP (j 11 n nr~nn 0.46203 x

U 13 0.00236 0.0023598 U 13 0.4464 0.44691 ex 3 0.00654 0.006546 Oy 14 0.00001 0.0000127 ez 4 0.00672 0.006722

Attachment to ENQINEERIRG SERVICES TES Letter 3245A-4 BENCHMARK PROBLEM NO. 2 COFFEE TABLE MAXIMUM ELEMENT LOAOS COMPONENT ELEMENT EPIPE ELEMENT TMRSAP Px(I) 1 555.4 1 .555.8 VY(I) 3 468.7 3 469.2 Vz(I) 1 109.3 1 109.3 MY(I) 1 5229.0 1 5230.0 Mz( I) 1 5135.0 1 5141.0

'1 TX(I) 1.61 1 1.61 Px(J) 1 555.4 1 555.8 VY(J) 3 468.7 3 469.2 vz(J) 1 109.3 1 109.3 MY(V) 6 5229.0 6 5230.0

-'Mz(v) '6 513>.0 6 5141.0-Tx(v) 1 1.61 1 1.61

l

~e

>< TELEDYNE Attachment to ENGINEERING SERVICES TES Letter 3245A-4 2.3 Problem Ho. 3 - Modified Reactor S stem

. The Modified Reactor System model was modified to accommodate elbow-to-elbow connections from the four corners of the model to the center point, node 8. The following computer generated plot shows the equivalent TMRSAP piping model for the Modified Reactor System. Each of the four outside loops (bend elements) were modeled as an equivalent series of three elements (tangent-bend-tangent). The results between the TMRSAP and EPIPE computer codes are in good agreement as shown in the following tables which summarize the frequencies, maximum displacements, and maximum element loads.

~o J'p

A TELEDYNE

~: Attachment to ENGINEERINQ SERVICES TES Letter 3245A-4 Bl:HHARK j'ROBLEH NO. 3 DYNAMIC RESPONSE OF R NODIFIED RERCTOR SYSTEN IB 0

~e

-S<-TELEDYNE Attachment to ENGINEERING SERVICE$

TES Letter 3245A-4 NRC BENCHMARK PROBLEM NO. 3 FREQUENCIES (CPS)

MODE EP IPE TMRSAP 1 1.806 1.805 2 1.875 1.874 3 3.205 3.204 4 3.480 3.480 5 3.539 3.540 6 3.645 3.645 MAXIMUM. 0 I SPLAC EMENTS TMRSAP COMPONENT NODE EPIPE ~SRSS) 'CLUSTER)

X 13 5.32223 4. 5717, 6. 2988 Vo V%00/ v.Oee5o 0.04908 UZ 13 5.39637 4.7243 6.4084 e

X 13 0.09062 0.07763 0.10689 ey 12 0.00192 0.001866 0.001968 ez 13 0.09036 0.07763 0.10689

~e

-r<-TELEDYNE ENQlMEERlNQ SERV)CES Attachment to TES Letter 3245A-4 4k NRC BENCHMARK PROBLEM NO. 3

. MAXIMUM ELEMENT LOADS ELEMENT EPIPE ELEMENT TMRSAP COMPONENT NO. (CLUSTER) NO. ~SRSS ~CLUSTER PX(I) 1 3243.0 1 3028.0 3574.0 VY(I) 2109.0 2009.0 2155.0 vz(I) 3 635.0 563.0 747.0 TX(I) 14 4110.0 20 3596.0 4592.0 MY(I) 7823.0 7623.0 8181.0 20 971 AA ~ A 32570.0 44140.0 Mz(,I) VPRNV V I

PX(V) 3243. 0 3028.0 3574.0 VY(J) 3 2109.0 3 2009.0 2155.0 vz(J) 16 930.0 25 430.0 590.0 TX(J) 18 3866.0 14 3454.0 4484.0, MY(C) 6 7891.0 6 7611.0 8243.0 Mz(c) 15 14030.0 13 10840.0 12070.0

~o r>-TELEDYNE Attachment to ENGINEERING SERVICES TES Letter 3245A-4 2.4 Problem No. 323A - Pi in System

. The piping system defined in problem 323A was analyzed with the THRSAP computer code for each seismic spectra separately and the results of each response spectrum analysis were combined by taking the square root of the sum of the squares (SRSS) of corresponding maximum values of the spectrum response. The results of the maximum displacements are shown on the following pages arid they are in close agreement with the EPIPE results supplied by the NRC. The NRC supplied data for this benchmark problem did not include element loads; therefore, they are not summarized for this problem.

~e PIPING BENCH MARK PRQBLEM 323A O ID M ID 6 et T

%6 4J et MO Ol I

I6 Pl

~Pl g~

z8 Pl~

Sm Q

V)

Pl C

0Pl 0)

~e Ph TELEDYNE Attachment to ENGlNEERlMQ SERVlcE$

TES Letter 3245A-4 BENCHMARK PROBLEM NO. 323A PIPING SYSTEM FRE UENCIES (CPS)

NODE EP IPE TMRSAP 1 6.39 6.39 2 9.99 9.99 3- 13.27 13.27 4 14.49 14.49 5 15.33 15.33 6 17.50 17.50 7 19.09 19.09 8 19.62 19.63 9 21.44 21.44 10 28.71 28.71 11 29.86 29.87 12 31.48 31.49 13 32.01 32.01

~ e 14 15 16 36.37 nnV ~ no

~

41.37 36.37 41.37 17 47.39 47.40 18 49.77 49.77 19 50.13 50.13 20 52.93 52.94 21 56.90 56.91 22 58.51 58.52 23 67.47 67.47 24 70.46 70.'47 25 75.41 75.42 26 79.18 79.20 27 80.74 80.75 28 86.11 . 86.12 29 88.28 88.33 30 92.74 92.74 31 99.36 99.37

~o r< TELEDYNE Attachment to ENGjNEERlNG SERVlCES TES Letter 3245A-4 o NRC BENCHMARK PROBLEM 323A PIPING SYSTEM TMRSAP MAXIMUM DISPLACEMENTS SRSS CLUSTER u NODE 31 X-SPECTRA .020751 .020785 Y-SPECTRA .0020513 .0020675 Z-SPECTRA .010887 .010943 SRSS = .023523 .0235805 u> NODE 35 X-SPECTRA .051633 .051638 Y-SPECTRA .057385. .057386 Z-SPECTRA .010441 .010448 SRSS = .077897 .077902 u NODE 36 X-SPECTRA .013009 .013101 Y-SPECTRA .0028254 .0028406 Z-SPECTRA .0068936 .0069855 SRSS = .014991 .015116 e NODE 35 X-SPECTRA .00021197 .00021198 Y-SPECTRA .00023513 .00023518 Z-SPECTRA .000043568 .000043607 SRSS = .00031955 .000319604 NODE 35 X-SPECTRA .000084048 .000084152 Y-SPECTRA .000012717 .000013047 Z-SPECTRA .000043608 .000043729 SRSS = .000095565 .000095728

~l T

r< TELEDYNE ENGINEER)NG SERVICES Attachment to TES Letter 3245A-4 NRC BENCHMARK PROBLEM 323A PIPING SYSTEM MAXIMUM D ISPLACEMENTS SRSS CLUSTER eNODE 38 X-SPECTRA .00020599 .00020606 Y-SPECTRA .00022871 .00022872 Z-SPECTRA .000042008 .000042082 SRSS = .00031065 .00031071 n T %PI Al FMFhl ) cl IMMARY COMPONENT NODE EPIPE TNRSAP x

31 0.02354 0.02352 U 35 0.07789 0.07789 UZ 36 0.01500 0.01499 ex 35 0.00032 0.00032 ey 35 0.00010 0.000095 ez 38 0.00031 0.00031 NOTE: ELEMENT LOAD DATA WERE NOT SUPPLIED BY NRC.

I' A I,

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