ML20118A747
| ML20118A747 | |
| Person / Time | |
|---|---|
| Site: | Cooper |
| Issue date: | 01/23/1969 |
| From: | EARTH SCIENCES ASSOCIATES |
| To: | |
| Shared Package | |
| ML20118A746 | List: |
| References | |
| NUDOCS 9209250274 | |
| Download: ML20118A747 (29) | |
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L OF THE CONTROL BUILDING m ra am COOPER NUCLEAR STATION FOR BURNS AND ROE, INC.
HEMPSTEAD, NEW YORK POOR QUAL.liY
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EARTilOUAKE A!!ALYSIS OF Tile COllTROL BUILDIttG COOPER tiUCLEAR GE11ERATI!!G STATIO!1 le
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P00R OllAllTY CONTEh'TS Pace 1.0 I!JTRODUCTIO!J 1
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DL.3CRIPTIO!J OF Ti!E DUILDI!JG 1
3.0 DEFI!JITIC!J OF Tile EARTifQUAKE g
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4.0 MAT!!EMATICAL MODEL 3
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5.0 METliCD CF ANALYSIS i
4 6.0 RE?ULTS l
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APPE!! DIX A - Figures and Results O
l 'n APPENDIX B - Retponse Spectra for Control Duilding ricors l'
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EART!! QUAKE ANALYSIS OF T!If CONTROL BUIL9ING COOPER NUCLEAR GENERATING STATION l
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1.0 INTRODUCTION
I.
Cooper Nuclear Station in located in Nemaha County, Nebraska on the west bank of che Missouri River.
The owner i
is Consumers Public Power District of Columbus, Nebraska.
This report on the seismic response of che Control Building has been prepared for the Architect-Engineer, Burns and Roe, Inc. of Oradell, New Jersey.
Figure 1 shows the location of j
the Control Building in relation to the remaining structures l
of the plant complex.
I i
The results of the 6a ly is for the design earthquake forces include displacements, moments, shears and acceler-ations in the Control Building and the response spectra for
,7 each floor.
2.0 DESCRIPTION
OF TliE BUILDING l *3 i
The Control Building is an "L"
shaped reinforred con-l crete shear wall building as shown in Figure 2.
Resistance i
O to lateral forces is provided by the shear walls which vary I-in thickness from 1.5 to 3.0 feet.
The four story building I'm is fcunded on an eight foot thick concrete mat, the top of l
the mat is a t elevation 877 '-6".
The top of the building
!i is at elevation 948-9".
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I 3.0 DEFINITION OF TiiE EART!! QUAKE I
I l
i j
the Preliminary Safety Analysis Report (Reterence 1) l for Cooper Nuclear Station sets forth the criteria for the l
" Maximum Probable Design Earthquake" and the "!1ypothetical j
Maximum De 19n Earthquake".
Table i summarizes the maximum values of grcund acceleration.
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VALUES OF MAXIMUM G9OUND ACCELCRATION
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I Design Earthquake __
Haximun Hypothettcal i
Probable Maximum Horizonta1 Component
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O.109 0.20g Ve rtica l Component 0.059 0.109 Table 1 i
The maximum values of Table 1 are to be used for the ground acceleration at both the roen surface and the base of the structure.
l l
The N69W component of the 21 July 1952 earthquake recorded Taft, California was specified as at an appropriate accelero-gram for the Cooper plant site.
Since the N69W component had a
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recorded maximum acceleration of 0.157 gravity the accelero-
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lN nl gram amplitude was multiplied respectively by 1
0.100/0.15? and 0.200/0,157 to represent the horizontal components of the l *)
Maximum Probable and Hypothetical Maximum design earthquakes Acceleration response spectra are shown in Figures 3 and 4 for each design earthquake.
Figure 3 is the response spec-i trum for the Maximum Probable Design Earthquake, ra calculated with damping set to(5 percent cf critical.' This damping value is taken to represent energy losses in the reinforced concrete building and surrounding soil when excited at the Maximum
')
Probable intensity.
The smooth response curve of Figure 3 3
represents the Maximum Probable Design spectrum.
It has been i
drawn as an approximate average of the peaks and valleys con-l '.
tained within the Taft d
response spectrum.
Simi la r ly, rigure 4
{
is the res ense spectrum for the Hypothetical Maximum Design i,
Earthquakt..
The damping value of 7
(
percent represen'to energy f
losses in
- t. e reinforced concrete building and surrounding l
i soil when excited at the Hypothetical
'ximum intensity.
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Hypothetical Maximum Design spectrum is represented by the smooth curve of Figure 4.
rigure 5 is an additional plot of the response spectrum f
for the Maximum Probable Design Earthquake calculated for 5
.sercent damping.
The tripartite log graph permits simultaneous i
visplay of acceleration, velocity, and displacement response.
i 4.0 MATiiEMATICAL MODEL l
}
l The Control Building is described mathematically by four l
translational masses lumped at the floor levels and one rota-tive mass at the foundation level.
At each floor level translational and rotational displacements are permitted and
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rotational displacement is permitted at the base of the structure.
The structural prvperties of the building and the i
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mathematical moder are shown in Figure 6.
The mass at each i
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floor level includes the weight of the concrete floor and the ss.
tributary weight of the walls and equipment between adjoining
!n floors.
The stif fness characteristics of the building between c
j) the lumped masses were determined from calculations of the
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sectional areas and area moments of inertia of the con-cross crete walls between the floort.
The torsional rigidity of the building is large.
Therefore, torsional response has O
been neglected.
The time depende.
.ccelerations of the design earth-L 7
quakes are assuned to occur at the base of the model (elevation 3
8 7 3 ' -6 ").
In responding to horizontal accelerations at the base, the building tends to rock on the foundation.
a A rota-tional spring K
= 0.222 x 101 g
kip-ft/ rad in the East-West 3
direction and K
= 0.123 x 101 g
kip-ft/ rad in the :: orth-?outh direction represent i
rocking interaction between the tailding f
and its foundation.
The soil spring values and the nection
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j propertnes of the structure were provided by Nrns and Ree I
1 and checked by Earth Sciences.
(.tcierence 3; I
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DOCUMENT 5.0 METHOD OF ANALYSIS The response of the Control Building to the earthqucke accelerograms was calculated on a time-22 pendent basir using the mode superposition method (References 4, 5,
6, and 7).
l T.te characteristic free vibration shapes (code s) were used as principal coordinates permitting the independent evaluation of l
each coordinate response.
All five modes of vibrations were used to obtain the reeponse.
In the modal coordinate system, the response of the structure to the applied loads is deter-l mined at each interval of time.
By transforming back to the
~~
structural coordinate system, the displacementa and accelerations at each of the nodal points are calculated.
Then the shears and r
overturning moments ate calculated by application of the struc-t j
Lutal stiffneva matrix.
l A macro flow diagram for the computer program used for this study is shown in Figure 7.
ff Figure 3 is the response spectrum for the Taft earthquake 3
recorded on 21 July 1952 in the N69W direction, normalized to 0.1 gravity (damping = 5 percent critical).
For design purposas the peaks and valleys are smoothed out.
This isaccomhlished i
by constructing a curve to bound the peaks and a simila curve l
to bound the valleys.
The design spectrum is then considered as a smooth curve drawn midway between the maxiinum and minimum curves.
- .3 For each of the first five periods, participation factors O
are computed.
T,he participation factor is the ratio of the response value taken from the Taft spectrum to that of the smoothed spect;um.
These participation factors are shown in f
Table 2.
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Table 2 Participation Factors M x.
Pr b.
Earthquake Hyp. Max. Earthquake Mode E-W p.3 C,W N-S 1
.905 1,093
.942
,997 2
1.164 1.168 1.154 1.189 1
3 1.159 1.169 1.166 1.190 4
1.082 1.092 1.116 1.084 1.075 1,o74 1.090 1,o79 e
>.g 6.0 RESULTS N
la Analyses were carried out for both the East-West and
! 7 North-South direction for both the Maximum Probable Earthquake l}
(rtaximum acceleration of 0.1 gravity),
and the Hypothetical Maximum Earthquake (0.2 gravity).
1 In both the North-South and East-West g
air <retions the fundamental mode is dominated by rocking on the soil foundatien.
The modes of vibration anel associated periods
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in for both dirce-tions are shown in Figures 8 and 9, i'"
For each of the four analyses the following results were
! 3 obtained:
i 1
1.
Maxirnum relative displacements l
Maximum total accelerations j
3.
Maximum moments S
i 4.
Maximum shears.
1 These results were plctted graphically for the floors of the
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Centrol Building and are shown in Fly-res 10 through 17.
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Prom the time histories of accelerations computed at l
l each floor level for both the Maximum Probable Earthquake and the Hypothetical Maximum carthquake, response spectra were calculated using damping values of 1 percent and 0.5 l
percent of critical.
The plots of the spectra are given l
in Appendix B.
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DOCUMEM L7ST OF REFERE!1CES i
l 1.
P.S.A.R.,
Volume III, Appendix A,Section III, p.
11,
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j 2.
N. M. !!ewmark, " Design Criteria for !!uclear Reactora
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Subjected to Earthquake Hazards," Urbana, Illinois,
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j 25 May 1967 i
i 3.
Transmittal from Burns and Roe, tiovember 1, 1968.
4.
R.
W. Clough, "Use of Modern Computers in Structural l
Analysis," Journal of the Structural Di.'ision of the l
ASCE, 1958.
i 5.
R.
W. Clough, " Earthquake Analysis by Response Spectrum I;
Superposition," Bulletin of The Seismological Society I
6w l
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of America, Vol. 52, tio.
3, July 1962.
}
l 6.
M. Rubenstein. " Matrix Computer Analysis of Structures,"
J Prentice Hall, 1966.
s 7.
G. L. Rogers, "An Introduction to the Dynamics of Framt Structures," John Wiley, 1959.
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f Compute Maximum l
Ret
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cf Elements i
Displacements l
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overturning Moments i
Shears I
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Read in Geometric 1 I l
Compatibility Print Answers l
l i f I f Computer Stif fness of Structure Compute Time Dependent Accelerations II Read in Masses 3r i 8 Computo Maximum j,
y Accelerations
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Road in Earthquake.
q g l-Accelerogram j3 Compute Response Spectra at all j3 y
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