ML20136A690
| ML20136A690 | |
| Person / Time | |
|---|---|
| Site: | Comanche Peak  |
| Issue date: | 10/30/1985 |
| From: | Chou I, Shanlai Lu, Shi Z EBASCO SERVICES, INC. |
| To: | |
| Shared Package | |
| ML20136A689 | List: |
| References | |
| NUDOCS 8511200008 | |
| Download: ML20136A690 (715) | |
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{{#Wiki_filter:_ . - _ . . . . . .. . .. . TEXAS UTILITIES GENERATING CO. COMANCHE PEAK SES UNITS 1 & 2 3-D RESPONSE SPECTRUM ANALYSIS AND VERIFICATION OF A MULTIMODE RESPONSE MULTIPLIER EQUAL TO 1.25 Prepared by: Z. T. SHI I. H. CHOU S . P. LU L. G0R0ZDI Reviewed by: R. Alexandru Date: Oct 30,1985 4 h A EBASCO SERVICES INC NEW YORK, N.Y. 10048 1
, . ...z . . . - . .
n s TABLE OF CONTENTS Section Pages I. INTRODUCTION 1-3 II. THE SELECTION OF 3-D STUDY MODELS 3-10 III. STUDY CONCLUSION 11-13 IV. STUDY
SUMMARY
14 1.0 Modelling Assumptions 14-15 2.0 Seismic Input Requirements 15-16 3.0 Analysis Approach 16-17 o 4.0 Study Results 18-21 5.0 Discussions 22-26 t
3-D RESPONSE SPECTRUM ANALYSIS STUDY I. INTRODUCTION The cable tray hangers are classified as Seismic Category I structure, and they are design verified for the effect of dynamic load induced by the postulated seismic event combined with the applicable concurrent loading. The above design requirement is delineated in CPSES, FSAR and NRC standard review plan. There are, in general, four (4) acceptable analytical approaches to consider the seismic load in designing of the Seismic Category I structure, which are:
- 1) Static analysis (SA) method using 1.5 times the peak spectral' value as an input requirement per Reg Guide 1.100 recommendation.
- 2) Equivalent static analysis (ESA) method using an amplification f actor to multiply the spectral "g" value corresponding to the lowest system frequency, and accounting thus for multimode responses.
This approach has been used in seismic design of cable tray hanger system for many nuclear power plants such as Grand Gulf, Hope Creek, Seabrook, South Texas, Susquehanna, Limerick and Palo Verde. These are the plants we know of and we believe other plants have used this methodology.
- 3) Response spectrum analysis (RSA) method using spectrum curves as an input requirement 1
- 4) Time history analysis (THA) method using earthquake time history as an input requirement.
Each of these analytical approaches has its own merits. The cable tray hangers of the Comanche Peak Unit No. 2 project are in general design verified by employing the equivalent static analysis method, and it is planned to also use this method for the design verification of the Unit 1 CTH's. An amplification f actor of 1.25 is used to account for the multiple modal responses during the occurrence of the seismic event. This amplification f actor is referred to as the "Multimode Response Multiplier" (MRM), and is used to multiply the g value corresponding to the lowest frequency of the system, in each of the three orthogonal directions. The purpose of response spectrum and time history analyses of this study is to demonstrate that the amplification f actor (MRM) of 1.25 is adequate to cover the multiple modes and system effect on the total seismic response of all cable tray hanger system in both units, when used in conjunction with the response (acceleration) determined by ESA for the lowest frequency in each direction. The Multimode Response Multiplier is calculated by the following formula: MRM = IL-8f where - = the weighted average "g" value obtained from the g response spectrum analysis results at all points of the 3-D model which represents the multi-span cable tray hanger system. 2
gf = the "g" value corresponding to the conservatively calculated system fundamental frequency, which combines the hanger frequency and cable tray frequency using Dunkerley formula. The cable tray hanger, which was considered in Dunkerly formula, was also used in 3-D t model. The following sections describe how the cable tray hanger runs were selected to represent the actual systems, the modelling assumptions, analysis approach, seismic input requirements and summary results. II. THE SELECTION OF 3-D STUDY MODELS The MRM study deals with a small number of cases. These cases where selected so that all reasonable ranges of frequency encountered in the plant are accounted for. In this respect three cases .were studied. Two idealized cases were "made-up" to cover the low and high ranges of frequency. Furthermore, an actual case was studied to account for variability of hangers geometry and stiffness as well as variability of cable tray spans and size, accounting thus for the system effect. To account for the variability of input the maximum (top floor) response spectra of four building were used for the study as well as the response
- spectra of the elevation where the supports studied are located.
When the 3-dimensional finite element models of cable tray runs are constructed we closely simulate the dynamic behavior of the actual installed 3
cable tray hanger system, using the same modelling techniques used for equivalent static analysis _ of cable tray hanger design verification program. The seismic respouse of the cable tray hanger system depends on the rigidity of the system (reflected in the dynamic characteristics of the system, which in turn, are measured by the range of frequencies inherited from its structural and mass configuration, etc.), and on the characteristics of the input motion. The main purpose of the study is to obtain the seismic response range which can represent the actual installed configurations of the cable tray hanger system, and demonstrate that a Multimode Response Multiplier established as 1.25 in each direction is applicable for the seismic design verification of all cable tray hanger systems installed for Comanche Peak project. The refore , the aforementioned parameters, i.e., the frequency of the system and the type of seismic input motion, are considered as basic criteria on selecting the proper cable tray hanger runs analyzed and the adequate seismic input motion as an input. In order to cover the possible fundamental frequencies range of the as-built cable tray hanger system, three (3) different 3-D models were assembled with the following characteristics:
- 1. Model No.1 (Made-up toward rigid range of the spectrum)
This 3-D model consists of four (4) maximum cable tray spans (8'-0) and five (5) trapeze hangers, of which four are identical transverse type r 4
and one is a longitudinal type hanger. Both the longitudinal and transversal type are actuals and selected to provide the lowest frequencies, as close as possible to the peak. Three (3) layers of cable trays (12"x4") without thermolag are located on three horizontal tiers. The fundamental frequencies and higher frequencies in three (3) orthogonal directions of this "made-up" model are located on the right side of the spectral peak, and are intentionally chosen to maximize the MRM as explained in Section g (P.8).
- 2. Model No. 2 (Made-up toward flexible range of the spectrum)
The run configuration of this model is similar to Model No.1 with the following exception: Three (3) trays without thermolag are mounted on two horizontal tiers with two 12"x4" trays on the lower tier and one 24"x4" tray on the upper tier. This model provides a first frequency to the lef t of response spectrum peak. The fundamental system frequency in vertical direction is located on the lef t side of the spectral peak, while the other two fundamental system frequencies are located on the right side of the spectral peak. The structural and load characteristics of the installed system is such that it is rather unlikely to find systems with the transversal and 5
longitudinal frequency to the lef t of spectral peaks. The higher modes can be either totally to the left or at the peak or to the right of the response spectra depending on the location of the floor response spectrum (see Section g).
- 3. ~ Model No. 3 (Actual Installed Run)
This 3-D model represents an actual as-installed cable tray hanger run located at EL 852.5' of Safeguard Building. The tray run consists of five (5) unequal spans and six (6) tray hangers, four of which are non identical trapeze types, one is a horizontal cantilever, and one is a SP-7 with brace longitudinal type hanger. There are two layers of 24"x4" trays mounted on two separate horizontal tiers with 4 and 5 inch offset from the center of tiers. The two trays are fire protected by The rmolag. The longitudinal fundamental system frequency is located on the lef t side of the spectral peak, and the other two are on the right side of the spectral peak. Higher mode frequencies range on all sides of the spectral peak depending on the particular location of the floor response spectrum, ie, building, elevation etc. The characteristics and/or the variability of design parameters covered bf these three (3) different models can be briefly summarized as follows: 6
m-
- a. Types of tray hansers Trapeze, cantilever and SP-7 type hangers are represented in the 3-D
~
models. Among these, some are transverse types and some are longitudinal type hangers.
- b. Type of cable trays 12"x4" and 24"x4" trays are included in the 3-D models. These two sizes of trays are the most frequent types of trays installed at site.
- c. Span Lengths A maximum, equal span length of 8'-0 (Models No.1 and No. 2) and actually installed unequal span length varying from 6'-0 to 7'-0 (Model No. 3) are considered in the 3-D models.
- d. Number of tray layers Multiple layers of three identical tray runs and two layers of different sizes of tray run are included in 3-D models. This creates many close modes in the vicinity of the fundamental mode and this is desirable to maximize the MRM.
- e. The rmolas The effect of Thermolag was included in Model No. 3.
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- f. Frequency Ranae of Models As pointed out previously, the f undamental f requencies of these 3-D models are located in the three regions of the predominant spectrum curves, i.e., they f all into flexible, amplified and rigid modes response regions. The magnitudes of frequencies in three orthogonal directions of the studied cases coser the full range of spectrum frequencies and are listed in Tables A and B.
- g. Relationship Between Modal Response Distribution and Spectrum Input Shape The magnitude of the seismic response MRM for a given tray hanger system depends on the relative location of all major important modes with respect to the amplified response region of the spectrum curve. In order to explain and or appreciate the above important relationship between modal response and spectrum curve input, the frequencies (Table A) of these three (3) models were plotted on a set of response spectrum curves, which were used as the seismic input in this study.
(see Section IV-5). The two examples of Section IV-5 illustrate that modal frequency distribution vis-a-vis response curve shape is such as to maximize MRM value. In short, the three (3) different 3-D models, which included the above various design parameters can represent and simulate conservatively the dynamic behavior of the as-installed cable tray hanger systems for Comanche Peak Project application. 8
. . .~..-. -
TEXAS UTILITIES GENERATING CO. COMANCHE PEAK UNIT 2 CABLE TRAY HANGERS TABLE A - Ranges of Frequencies for fixed base IMODEL i 1 l 2 l 3 l l MODE l Direction l Direction l Direction l l NUMBER l VERT 1 TRANS LONGl l VERT 1 TRANS LONGl l VERTl TRANS LONG1 l l l l 1 l l 1 l 9.82 l 6.22 l 3.86 l l 2 l 9.95 l 7.13 l 3.86 l l 3 l 9.98 l 9.22 l 4.27 l l 4 l 11.27 l 9.59 l 4.27 l l 5 l 11.46 l 10.10 l 13.10 l l 6 l 11.50 l 10.82 l 13.37 l l 7 l 11.63 l 11.00 l 13.39 l l 8 l 11.69 l 11.23 l 13.53 l l 9 l 11.75 l 11.23 l 13.55 l l 10 l 11.80 1 11.23 l 15.29 l l 11 l 14.95 l 11.23 l 15.29 l l 12 l 15.20 l 11.65 1 15.96 l l 13 l 15.24 l 12.82 l 16.00 l l 14 l 19.11 l 13.75 l 18.26 l l J5 l 19,36 l 14.75 l 19.22 l l 16 l 19.50 l 15.28 l 19.36 l l 17 l 19.53 l 15.98 l 22.53 l l 18 l 21.11 l 16.61 l 22.83 l l 19 l 21.92 l 18.38 l 24.17 l l 20 l 22.72 l 18.72 l 24.50 l 21 l 22.85 l 19.09 l 24.50 l 22 l 23.54 19.38 l 25.03 1 23 l 24.01 1 19.52 l 25.67 l 24 l 24.90 l 19.78 l 27.44 l l 25 26.46 l 21.53 27.50 l l 26 27.11 l 22.54 , 27.93 l l 27 l 27.63 l 24.41 l 29.74 l l 28 l 31.94 l 24.79 l 30.10 l l 29 l 32.68 l 25.69 l 30.10 l l 30 l 32.78 l 25.90 l 30.33 l l 31 l l 26.59 l 30.43 l l 32 l l 27.18 l 31.71 l l 33 l l 27.74 l l l 34 l l 28.47 l l l 35 l _ l 31.88 l l 9
TEXAS UTILITIES GENERATING CO. COMANCHE PEAK UNIT 2 ELECTRICAL CONDUIT & BOX SUPPORTS TABLE B - Ranges of Frequencies for flexible base lMODEL I 1 1 2 I 3 l MODE l Direction l Direction l Direction l NUMBER l VERT 1 TRANS LONGl l VERTl TRANS LONGl l VERT 1 TRANS LONGl l l l l l l l 1 l 9.07 l 5.68 l 3.72 l l 2 l 9.34 l 6.40 l 3.75 l l 3 l 9.53 l 6.84 l 4.27 l l 4 10.24 1 7.42 l 4.27 l 5 l 10.29 9.08 l 8.98 l l 6 l 10.33 l 9.66 l 8.99 l l 7 l 10.38 l 9.67 l 13.10 l l 8 l 10.52 l 9.67 l 13.38 l l 9 l 10.77 l 9.67 l 13.39 l l 10 l 10.94 l 9.82 l 15.29 l l 11 l 11.02 l 10.10 l 15.29 l l 12 l 13.21 l 10.78 l 15.37 l l 13 l 13.56 10.86 l 15.42 l l 14 l 13.76 11.26 l 18.26 l l 15 l 15.07 l 11.45 l 18.72 l l 16 l 15.67 l 11.65 l 18.84 l l 17 l 16.13 l 12.70 l 22.35 l l 18 l 16.42 l 13.09 l 22.63 l l 19 l 17.15 l 13.68 l 24.15 l l 20 l 17.88 l 15.25 l 24.50 l l 21 l 18.90 l 15.46 l 24.50 l l 22 l 19.24 l 16.16 l 25.03 l l 23 l 19.47 l 16.91 l 25.55 l l 24 l 21.10 l 18.68 l 27.44 l l 25 l 22.13 l 19.47 27.50 l 26 l 22.47 l 19.88 l 27.81 l 27 l 22.83 l 21.05 l 28.85 l l 28 l 23.69 l 22.54 l 29.15 l j 29 l 24.05 l 22.74 l 29.85 l l 30 l 26.48 l 24.50 l 30.10 l l 31 l 27.42 l 25.68 l 30.10 l l 32 l 31.65 l 25.75 1 31.67 l l 33 l l 27.18 l l 34 l 28.01 l l 35 l l 31.11 1 36 l l 31.52 l l 10
III. STUDY CONCLUSION The Multimode Response Multipliers obtained from this study are as listed in the Tables I and II and exhibit the following isportant properties:
- 1) Most of the MRM are less than 1.0, and only 5% of them are greater than 1.0, with the largest value being 1.18 for the vertical direction, for model 3.
- 2) The variation of MRM for various buildings and different floor elevations is not, for most cases, significant.
- 3) The magnitudes of HRM is not influenced by the response spectrum differences of OBE and SSE events.
- 4) The MRM of 1.25 includes the effect of baseplate flexibility. All models of ESA approach do not account for the baseplate (base angle) flexibility when calculating the frequency. In verifying tim responses by using the 3-D models both flexible base and fix base cases were considered. Therefore tim 1.25 MRM can be used conservatively with ESA approach when calculating the system frequency with fixed bases.
- 5) The magnitudes of MRM depend on the relative closeness of the system fundamental frequencies with respect to the spectral peak, and the number of higher modes located within tie amplified region. In general a fundamental frequency to the lef t of the peak gives a higher value MRM than the one on the right of tim peak.
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- 6) The MRM obtained using the enveloped horizontal response spectrum curves (NS and EW) as a seismic input requirement are conservative, because the spectral peak frequency range for enveloped curves is broader than that for individual spectrum curve. Thus artificially more higher modes were located within the amplified region.
- 7) Additional conservatism inherent to the application of equivalent static analysis approach. This study demonstrates that a MRM value of 1.25 is conservative when used with the Equivalent Static Analysis (ESA) approach. The ESA has in addition conservatism built-in by the usage of simplified formulas and approaches. These conservatisms are worthy to be noted, as follows:
a) Single cable tray frequency calculation is made by assuming full design load (in Unit 2) and simple supported end conditions. Both conditions result in the lowest fundamental frequency for the cable tray. b) Multiple cable tray frequency value is assumed to be the same and equal to the lowest tray frequency of the set. Tids artificially lowers the frequency for some trays and assumes that all trays vibrates in phase and transmit at all times maximum load on the hanger. 12
c) Dunkerley's formula which combines tray f requency with hanger frequency always give the lowest frequency value for the system. When support mass versus tray mass or the stiffness ratio are very large the Dunkerley's formula gives very conservative (very low f requency) values, and results in large "g" increases. d) The shift in frequency due to base flexibility was studied and found insignificant in increse of the "g" values.
== Conclusion:==
As stated in item 1, 95 percent of MRM are less than 1.0. Furthe rmo re , accounting for the conservatism associated with the enveloped horizontal response spectrum curves (ites 6), the use of 1.25 MRM in conjunction with equivalent static analysis
- results in a comfortable safety margin in the seismic design verification of tim cable tray hanger systems installed at Comanche Peak plant.
- And "g" calculated at tre f undamental f requency in each of the three orthogonal directions.
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IV. STUDY
SUMMARY
1.0 Modelling Assumption
- 1) The cable tray hangers selected for the 3-D models are represented by finite beam elements, which simulate the stiffness ,
characteristics of both cable tray hanger and cable tray itself. The section properties (area and moment of inertia) of the tray section were extracted from the static load test included by cable tray vendor in their seismic report of cable tray. The cable loading is simulted by concentrated masses lumped at each of the five nodal points along the cable tray span between hangers.
- 2) The connections between cable tray and horizontal tiers simulate the mechanism of transferring tray loading to support member for the [
transverse type and the longitudinal type clamps accordingly.
- 3) The longitudinal type hangers have the espability to resist three orthogonal directions of the earthquake components, while the transverse type hangers resist one vertical and one transverse (normal to tray run) earthquake components in addition to being subjected to the self-weight it.duced seismic inertia force in longitudinal direction. The modelling technique simulates this dynamic response behavior for different type of hangers accordingly.
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- 4) The boundary conditions simulate the actual installed conditions, either by moment connection or hinged connection, and the 3-D models with these types of boundary conditions are referred to as " fixed base" models. In addition, the flexibility of the base angle and/or base plate is included in the modelling, and such 3-D models are referred to as " flexible base" models.
- 5) All offsets resulting from member assemblage (working points for
, braces, load of cg) are not considered in the 3-D models. The effect of these offsets on the system frequency is insignificant, therefore the effect of offsets on the overall seismic response (acceleration) can be excluded form the modelling consideration. Ilowever, the offset between horizontal tier and tray has been considered and simulated in 3-D model, because it affects f requency. 2.0 Seismic Input Requirements A set of 4% damping OBE and 7% damping SSE floor response spectrum curves are used as an input for the 3-D response spectrum analysis. The floor response spectrum curves are selected f rom Reactor Internal, Reactor Auxiliary, Electrical and Safeguard Buildings. The 28 response spectrum curves included in tte study cover seven elevations of the four buildings, in both horizontal and vertical directions. 15
The floor response spectrum curves at the top elevation of each building and in addition, the response spectrum curves at the actual location of support are used in spectrum analysis. As mentioned in Section II, the magnitude of seismic response for a given structural system depends on the characteristic of seismic input motion, which is represented by a set of floor response spectrum curves, since the seismic input motions for subject analysis represent various buildings and various floor elevations, therefore, the amplification f actor established from the resonse results of 3-D modal analysis using various seismic motions as inputs can e used in static equivalent analysis of cable tray hanger for Comanche Peak Project. 3.0 Analysis Approach Multimode Response Multiplier is established by comparing the responses (accelerations) obtained by either a time history analysis or a spectrum response analysis with the responses (accelerations) used in the equivalent static analysis. A spectrum response analysis approach was used for Model 3 in accordance with tie requirements delineated in Reg.1.92 for the method of modal response superposition. A time history analysis approach was utilized for Models 1 and 2, both of which exhibited " unreasonable" (see footnote) cross coupling effects among the three directions when the spectrum response method recommended by Reg. 1.92 is used. Footnote: " Unreasonable" means that under a more accurate (time history) analysis these modes cannot possibly add up. 16
c . . This unreasonable cross coupling effects were eliminated when a sine-wave time history was used as an input for the dynamic analysis of 1 Model 1 and 2. The eartiquake time histories were not available at the time when the models 1 & 2 analyses were completed (and issued on Septembe r 19, 1985) To compensate for the unreasonable coupling, the spectrum response analyses were finished using the SRSS method for superposition of all modal responses. Time histories were made available to Ebasco by Gibbs and Hill on October 11, 1985, and a time history analysis was performed on Models 1 & 2 to reconfirm that the HRM's obtained from the previous response spectrum analyses are still conservative even though SRSS method for modal superposition was used. , The time history analyses results did confirm previous results and proves that the absolute sum for closely spaced modes should be used
, with caution, and response of all modes which unreasonably couple should be combined by SRSS. The f requency range of 3-D models considered in the response spectral analysis is from 3.7 to 33 H,. The total modal mass corresponding to all modes response is checked to be 90% of the total mass. When it is not, the residual mass is multiplied by the largest spectral acceleration at or beyond the cut-off frequency and applied as a rigid body force on the system.
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4.0 Study Results The analysis results obtained f rom the three (3) models indicate that
~
the MRH for each 3-D model and each direction is less than 1.25. Therefore, these response spectrum analysis results demonstrate that a
' MRM of 1.25 as specified in the seismic design criteria for cable tray hangers for Comanche Peak project is adequate to be used in the seismic design verification of the cable tray hangers, by the equivalent static analy ses.
The actual Multimode Response Multiplier for each of three (3) orthogonal directions are listed below for three (3) different models corresponding to both the fixed and the flexible base conditions (Tables I and II). In addition, the MRM established from time history and response spectral analyses for Models 1 and 2 were presented in Table III. 18
TABLE I
; MRM for the fixed base models l l l l RANGE OF MULTIPLIER l i l l 1 l l l
} lModelsl Building l l 0 B E (4%) l S S E (7%) l l l l l l l l l l l l l l Elevation l l Trans- l Iongi- l l Trans-l Iongi- l l l l (ft) l Vert l verse ltudinal l Vert l verse l tudinall l l l l l L l l l l 1 l l . I I I l l l Reactor l 860.00* 10.67 l 0.99 l 0.93 ;;0.71 1 0.94 l 0.90 l l l Internal l905.75 10.71 0.88 l 0.83 0.75 l 0.91 l 0.81 l l 1 l Reactor l l , I l l l
- l l Auxiliary 1899.50 10.52 1 0.69 l 0.88 l0.63 l 0.73 1 0.91 l l Electrical :873.33 10.69 l 1.00 l 1.13 10.b9 l 1.10 1 0.95 l Safeguard I896.50 10.85 1 0.95 1 0.71 0.79 l 0.87 1 0.77 l l l l l l l ,
I l l
, l l Reactor l l l l l l l l l l Internal l 905.75 l0.99 0.87 0.86 II.01 0.92 1 0.89 l l 2 l Reactor I810.508 10.49 l 1.00 0.95 1 0.51 0.92 1 0.93 l l l Auxiliary 'l899.50 l0.89 l 1.16 i 0.95 10.89 ' 1.05 0.95 l l l Electrical '873.33 1 0.87 0.98 0.92 l 0.85 1 0.99 0.92 l l l Safeguard : 896.50 1.18 0.53 0.93 il.08 0.75 0.77 l l l 1 .
l l Reactor l ll l l ll l l l l Internal '905.75 0.67 0.77 0.31 'O.70 0.76 0.39 l l 3 l Reactor I I I l > l l Auxiliary 899.50 ll0.52 ll 0.74 'I 0.36 1 0.57 0.73 0.49 l l l Electrical 873.33 0.61 0.75 0.38 .0.64 0.74 0.52 l l l . 852.50* i 0.65 1 0.72 1 0.51 1 0.64 1 0.79 1 0.64 l l l Safe 8uard 1 896.50 l0.61 1 0.59 1 0.51 10.63 1 0.72 ll 0.63 l , I l l l l l l l l l . ]
*The floor elevation where the hanger for structural model is located.
l ; i 1 1 19 -
TABLE II MRM for the flexible base models l l l l RANGE OF MULTIPLIER l l l l l l lModelsl Building l Elevation l 0 B E (4%) l S S E (7%) l l l (ft) l Ve rt. l Trans. l Long. l Ve rt. l Trans. l Long. l l l l l l l l l l l l Reactor 1860.00* l0.716 l 0.883 l 0.755 10.750 l 0.857 l 0.765 l l Inte rnal 1905.75 10.755 1 0.868 0.762 10.793 l 0.872 l 0.760 l l 1 . Reactor l l l l l l l l l l Auxiliary 1899.50 LO.609 l 0.911 1 0.779 l0.692 l 0.929 l 0.778 l l l Electrical 873.33 0.698 l 1.004 0.778 l0.704 l 1.009 l 0.756 l l l Safegaard : 896.50 10.964 l 0.793 0.765 10.862 1 0.824 1 0.778 l l l n l l 1 l l l l l l Reactor l l l l l l l l l l Internal 1905.75 10.765 l 0.540 1 0.922 l0.790 l 0.618 1 0.940 l l 2 l Reactor 1810.50* 10.429 1 0.572 1 0.896 l0.445 1 0.684 1 0.949 l l l Auxiliary l899.50 l0.711 1 0.666 0.951 l0.686 0.650 1 0.952 l l l Electrical l873.33 10.661 0.577 0.949 10.658 0.621 1 0.948 l l l Saf eguard 1896.50 l0.952 1 0.516 0.953 l0.865 0.580 1 0.948 l l l l l l l l l l l l Reactor l l l l l l l l l l Internal l905.75 11.036 1 0.760 0.188 11.071 ' O.743 l 0.284 l l 3 l Reactor l l l i I l l l Auxiliary l899.50 11.085 h 0.768 l 0.323 11.019 l 0.733 0.471 l l l Electricall873.33 l0.987 l 0.792 1 0.355 11.023 i 0.772 l 0.593 l l 1852.50* 11.176 1 0.752 l 0.370 l1.171 1 0.799 l 0.533 l l Safeguard l896.50 11.073 l 0.602 l 0.340 l1.102 1 0.721 l 0.466 l l l l l l l l l l l
*The floor elevation where tim hanger for structural model is locaced.
20
l i TABLE III MRM for Models 1 and 2 4 l l l l oBE. SSE l ! l l l l 1 i . I I IBoundary l Model l Approach l Vert l Trans l Iong l Vert l Trans l Long 1 l Condition l ! l l l l 1 ' I I I I I i l I , Response l l l l i l l l l l Spectrum l 0.40*l 0.93 1 0.72* l 0.47 l 0.90 l 0.73*l l l 1 l l l l l l l l l l l l l Flexible l 1, Time Il l l l l : l l l History ll 0.45 1 0.90 1 0.77 1 0.46 , 1 0.85 0.78 l 1 l l l l l l l l l i i i i l l l l Response ll l l l l l l l l Spectrum l 0.51 1 0.4 8* l 0.88 1 0.57 l 0.52* l 0.90 l l l 2 l Il l
; I l l l i ,
l l l Time I , l I ll l . l l l History l 0.51 1 0.53 1 0.80 1 0.57 1 0.57 l 0.83 1 l l I ' i 1 ,
, I I l l I I Response l l l l l l l l u.84 l l l Spectrum 1 0.30 1 1.14 1 0.80* I 0.35 O.79*l l l 1 l [ l l l l 1. i I l Time i l 1 ,
I i History ll 0.29 1.10 0.81 1 0.35 ll 0.79 0.83 , l l I I
' Fixed I I JI l Response , I l !
l l ll Spectrum ll 0.61 1 0.57* l 0.95 1 0.67 1 0.54* l 0.95 l ' 2 l l , il l l l l , I. I l l l Time ll l ll ll ll l l l l l History 0.61 , 0.65 0.85 0.63 l 0.59 0.85 !
! I l l l l I
Notes 1. The MRM's marked with
- are slightly less than that obtained from time history analysis approach. - This difference will be eliminated when the analysis using a detailed procedure for correcting missing modal masses is completed, and such detailed analysis is in progress as of 11/7/85.
I
- 2. The detailed informations on modelling, seismic input data, and analyses results are contained in the attached calculation books.
l 21 ,
5.0 Discussions Further evaluation and discussions of some significant cases provide confirmation of the conclusions which were presented elsewhere in this study. The most significant cases are comparison of flexible vs amplified range (example 1) and rigid versus amplified range (example 2).
- 1. Example 1. Comparison of seismic response MRM of the flexible response region vs that of the amplified response region.
! The longitudinal fundamental frequencies of Model No. 3 are 4.3 !!z for a fixed boundary condition, and 3.7 !!z for a flexible boundary condition. They are both at lef t side of tim spectral peak curves at EL 852.5' (SSE peak at 5.5 liz to 8 liz) and EL 896.5' (SSE peak at 6.511: to 10 lis) of Safeguard Building. The magnitudes of MRM for the longitudinal direction ares l l l l Model 3 l Model 3 l l l l l Fixed Base l Flexible Base l l l l l l l l l l l l Range of Amplifiedl Fundamenta1l l Fundamental l l l Building l EL I Region for SSE l Frequency 1 MRH l Frequency ll MRM l l l 1 l Safegua rd 852.5 5 . 5 11 : to 811z 4 . 3 11 : 0.643 3.7 II: 0.533 l ll l ll ll l l Safeguard 1896.516.5 Ils to 1011: 4 . 3 11 : 0.626 ll 3.7 !!: l0.466L l l l l l 11 11 1 l 22
I The above tabulation reconfirms the following intuitive features of MRM which ist a) The MRM of the seismic response of the cable tray hanger system with a fundamental system frequency located at the left of the peak tends to increse as the f undamental system f requency moves close to the peak 1.e., 0.466 vs 0.533, and 0.626 vs 0.643 provided an equal number of higher modes are located within the amplified region. This is why it is not necessary to construct systess the lowest frequency of which would be even futher lef t of the peak response than the one produced by the made-up models, le 3.7 Hz, since the made-up models have already provided a sufficient number of higher modes within the amplified reston.
- 2. Example 2. Comparison of the seismic response NRM of the amplified response region vs. that in the rigid response region.
For example, the vertical fundamental system frequency of rigid base Model No.1 is 9.8 Hz and that of rigid base Model No. 2 is 6.2 Hz. The seismic responses MRM of these two models for different buildings spectra are summarized below: 23
r---- . .. . . l l l l Rigid Base l Rigid Base l I 1 Range of Amplified l Model No. 1 1 Model No. 2 I I I I I I I I I IResponse Region forl Fundamentall i Fundamental l I I Building ! EL I SSE I Frequency 1 MRM l Frequency l MRM i i Il I I I I I I I l Safeguard 1896.50' 115.811z to 18 Hz 9 . 8 11 , 0.79 6.2 Hz 1.08 I I I I I I I I , I l l l l l 1 RAB 899.50'l5.5 !!z to 7.411: 9 . 8 11 l 0.63 l 6. 2 11z I 0.891 I I I I I I I I I I I I I l l I
- For model 2 eleven higher modes fall within the amplified region, while for model 1 only eight higher modes f all in tiw amplified region.
The above summary leads to the following observations a) The seismic response MRM of the tray hanger system with a vertical fundamental system frequency located in the amplified response region (or in the spectral peak range) is larger than tim case where fundamental system frequency is located in the relatively rigid response region (or for at right side of tim peak), ex. 0.89 of Model No. 2 vs. 0.63 of Model No.1 (both at EL 899.50', of Safeguard Building). b) The vertical fundamental f requency of Model No.1 is located on tim lef t of the amplified response region of spectrum curve at EL 896.50' of Saf eguard Building. Ilowever, it is at the right of tim amplified region of the spectrum curve at EL 899.50' of Reactor Auxiliary Building, and the seismic response MRM of same hanger system is larger when fundamental frequency f alls in the flexible range versus when f undamental f requency f alls in tim rigid range. 24
This example concludes that the magnitudes of seismic responses MRM totally depend on the relative closeness of the system fundamental f requency with respect to the location of spectral peak, the number of modes within the amplified region and the position of the lowest frequency in the flexible or rigid range regardless of hanger configurations and their mounting locations. From above two illustrated examples, the seismic response results demonstrate thats a) The dynamic characteristics (or f requency ranges) of three (3) 3-D models do represent most of the as-installed cable tray hanger system, because the system fundamental frequency varies f rom the flexible (at lef t side of peak) to amplified (on the peak), and rigid responne region (at right side of the spectral peak) for a given response spectrum curve. b) The magnitude of seismic response depends on the relative closeness of the system fundamental frequency with respect to tim location of spectral peak for a given spectrum curve. Since the system fundamental frequencies of three (3) 3-D models represent tim possible variation on frequency ranges of most as-installed cable tray hanger systems, and the response spectrum curves from different buildings and different floor elevations were used as seismic input requirements, i.e. the variation in seismic input characteristics was included in analysis. The re f ore , the range of seismic response obtained from these three (3) 3-D models can cover the seismic response of various installed cable tray hanger systems, and the enveloped amplification factor (MRM) established f rom 25
-1 the 3-D model seismic response results can be used in static equivalent analysis approach for the cable tray hanger seismic design verification of Comanche Peak project. The spectral response analysis is to
~
demonstrate that 1.25 amplification factor envelope the range of MRM derived from these three (3) 3-D model seismic response analysis, such that a validity of using 1.25 MRM is thus concluded. The following response spectrum graphs examplifies the relative postion of fundatmental and higher modes for various response spectrum curves. B" 26
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I TABLE OF CONTENTS FOR TilIS BOOK Of . 4 t I i
VOLUME I - BOOK 10 TEXAS UTILITIES GENERATING COMPANY
, COMANCHE PEAK UNIT N0. 2 b, TABLE OF CONTENTS MODEL N0. 3 SUBJECT MULTIMODE RESPONSE MULTIPLIER - STUDIES PAGE Introduction
~
l l Procedure 4 Reference 6 Reference Drawings 7 Response Spectra Curves 15 Model Boundary Conditions 27 Support Sketches 29 Grid and Element Numbering 37 Plots 45 Properties 49 Flexible Boundary Stiffness Matrix 58 Tray Frequencies 60 Fixed Boundary Condition Case Support 11099 List of Computer Runs 61 Equivalent Static Method 62 l Design "G" Value Computation 63 Input to Response Spectra 66 Modal Plots 69 Summary of MRM Factors 72 Flexible Boundary Condition Case, Support 11012 List of Computer Runs 74 Equivalent Static Method 75 Flexible Boundary Condition Case, Support 11012 Design "G" Value Computation 76 Input to Response Spectra 79 Modal Plots 82 Suninary of MRM Factors 85 Appendices Computer Runs Volume I Book 10A Volume I Book 10B Volume I Book IOC
V O GENERAL TABLE OF CONTENTS VOLUME I - BOOKS O O
VOLUME I - BOOK 1 TEXAS UTILITIES GENERATING COMPANY COMANCHE PEAK UNIT NO. 2 TABLE OF CONTENTS SUBJECT GENERAL INPUT DATA (10/31/85) R1 SECTION Organization of Documents in Volume I & II _ (t.gre,Q i - vitj
' Design Criteria
- l. Seismic Design Criteria for Cable Tray i Hangers for Comanche Peak Steam Electric Station No. 2 I Rev 3 Date 8 /2G/85
- 2. Design and Analysis Procedure of Seismic Category I Electrical Conduit System Rev 2 Date 4/5of 85
- 3. General Instructions for Cable Tray Hanger Analysis for Comanche Peak Steam Electrical Station No. 2 Rev I Date 8/2S/8G General Notes II Refined Response Spectra Curves III
- 1. Refined Response Spectra Curves I
for Safeguards Bldg., FSB-5R, November,1982 (GTN-62339datedNovember 16,1982)
- 2. Refined Response Spectra for Containment Bldg.,
FRB-7R, December, 1982 ! (GTN-63341, dated January 18, 1983)
- 3. Refined Response Spectra Curves for 4% OBE l and 7% SSE of Cat.1 Bldg. Floor l
(GTN-69817, dated February 8,1985)
- 4. Refined Response Spectra Curves for Fuel Building, 4% OBE and 7% SSE (GTH-70739,datedOctober 17,1985)
O t _ - _ -_ _ _ _ _ _ - ,
VOLUME I - BOOK 2 TEXAS UTILITIES GENERATING COMPANY COMANCHE PEAK UNIT N0. 2 q v
' TABLE OF CONTENTS SUBJECT COMPUTER RELATED INFORMATION SECTION P Delta Strudl Program Usage I
- 1. Instruction for Ebasco IBM PC workstation
- 2. P-Delta Strudl example problem No. I " Frequency Analysis" (later)
- 3. P-Delta Strudl example problem No. 2 " Static Analysis" (later)
- 4. P-Delta Strudl example problem No. 3 " Base Plate Analysis"(later)
- 5. PD Strudl (frequency ( static and base plate) data input forms (Base Plate later)
- 6. Beta angle guide for PSDI-Strudl
- 7. Input of modchano into computer
- 8. Calculation of equivalent density including thermolag
- 9. AISC Code che,cking verification of P-Delta Strudl Program (later)
- 10. P-Delta Strudl/Nastran Result Comparison (later)
O
SH 1 of 2 VOLUME I - BOOK 2A TEXAS UTILITIES GENERATING COMPANY COMMANCHE PEAK UNIT N0. 2 h's TABLE OF CONTENTS SUBJECT COMPUTER RELATED INFORMATION SECTION Member Property Tables Included In The STRUDL Subsystem See Appendix D of PSDI STRUDL Manual Tabic Tabic STEELW (Wide Flange Shapes - 1969 AISC) D-26 1 Table STEELWF (Wide Flange Shapes - 1963 AISC) D-27 2 Table W1978 (Wide Flange Shapes - 1979 AISC D-28 3
- 4 Tabic ST!!EL-HM
@ T a b i c S T liU I.-II N
@ Tahic STl:1:1.-IIW Tabic STEELM (Miscellaneous Wide Flange Shapes) D-29 7
Tabic STEELS (S Shapes -- I Beam 1969 AISC) D-30 8 D-31 9 Tabic STLCOL78 (Wide Flange Column Shapes-1978 AISC) Table STLS78(S Shapes - I Beam 1978 AISC) D-32 10
- 11 Tabic STElit. IIP Tahic STLilP78 IIP Shapes (Piles - 1978 AISC) D-33 12 D-34, 13 Tabic STEELL (Structural Angles)
D-35 14 Tabic IEANGLliS (Singic Angic with Equal Legs) D-36 15 Table ILANGLES (Singic Angle with Uncqual Legs) D-37 16 _ Table 2EANGLES (Double Angic with Equal Legs) 17 Table 2SANGLES (Doubic Angic with Short Legs D-38 Back-to-Back) 18 Tabic 2LANGI.lis (Double Angle with Long Legs Back-to D-39 Hack) D-40 19 Tahic STEELC (American Standard Channel Shapes) D-41 20 Tabic STl!ELMC (Miscellaneous Channel Shapes . 21 Table STEELWFC . 22 Table STEELMT D-42 23 Table STEELST (Tees Cut from S Shapes - I Beam) l l 1 I
SH 2 of 2 VOLUME I - BOOK 2A TEXAS UTILITIES GENERATING COMPANY r~ C0tNANCHE PEAK UNIT NO. 2
' TABLE OF' CONTENTS SUBJECT ' COMPUTER RELATED INFORMATION SECTION Member Property Tables Included In The STRUDL Subsystem See Appendix D of PSDI STRUDL Manual Table 24 Tabic STEELWT (Tees Cut from Wide Flange D-43 Shapes) 25 Tabic STLMT78 26 Table STLST78 27 Table STLWT78 (Tees Cut from Wide Flange Shapes- D-44 1978 AISC) 28 Table APISLX (American Petroleum Institute D-45 SLX Plain End Line Pipe 18 - 42 IN.0D)
Tabic AISCPIPE (Pipe Profiles) D-46 h Tabic CIRCTUBE 30 Table TUBER 11CT (Rectangular Structural Tubing) h D-47 .
32 Tabic RECTURE O e34 Tawie Tunitson B/BS ,,,,, / ,, 2 cuno av 7 Tim oav UJMM ors no.M11002 Mk M9
(* 'l cusa, TEXAS UTILITIES GENERATING CO.
GUMANGHt. PEAK UNIT 2 paoamer CABLE TRAY HANGERS su.,,ev PRYING ACTION FACTORS G FORMtJLAS FOR EVALUATING ANCHOR BOLTS
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.. . TA B L E 'OF CON TEN TS -._. -. . . .
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.. SECT loN I - G E NER A L - .. . _, -.. .. . - . _ - . . _ . PAGE (0. ) DESCRIPTION 0F PROBLEM . . I 1 bLJNVESTIGA TIDN PURPOSE . .2
. ... _(C LJNVES TGATION PROCEDURE . . - . 3
. Ad) ANAL YSIS ME THOD AND COMPUTER PROGRAII
.(61_. SPRING CONS TANTS OF R. C SUBGRADE AND
. - . _ .. ANCHOR BOL TS . .
7 _. Cf) BASE ANGLES AND. PLA TES .- . . . 12
-.- _(SL. PRYING ACTION . FACTORS AND MAND CALCULA .
...- Tl0N. 10RMULAS ---.. . . . - . - - . 15 1RL- REFERENCE 5 -.. ... . -.. ..- . . .. .. - - . Jt .
g - - . . - . . - - . . . . - . - . . -
. - .Q._L /ST . OF . . COMPUTER. DUTPUT--..--. . - . - - - . 20.
, i SECTION H .
SUMMARY
q, _ _ . . _ . . _ _ . . . V W)
SUMMARY
OF RESULTS I set /s.es
r VOLUME I - BOOK 3 SH2 of 2 EBA$CO SERVICES INCORPORATED o, J. P. aCa oa,, __ 6 /28/85 , , , , 2 o, 2 cuno. er 7'TlJIA oats MO[8C ors wo. 3 317. 0 0 2 "'E 549
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TEXAS UTILITIES GENERATING CO. COMANCHE PEAK UNIT 2 m ,,cv CABLE TRAY HANGERS su.,ner PRYING ACTION FACTORS & FORMULAS FOR EVALUATING ANCHOR BOLTS q -. -_-_. ._
- . . , . _ . _._ .. _ _.._...__a_. . _ . . . . . . . . . . .
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. . - - . - ~ . . .
r
.. (a) ANCHOR BOLT SHEAR AND TENSION .ST/FFNESS . . .
. . (b] TEST REPORT ON SHEAR AND TENSION LOADING ..
CF. .RjCHMOND JNSERTS - - - . _ . . .-.-. -. .. G< SECTION. IV- . CALCULA TIONS. .. . - . . . . .
.-- (a) DESCRIPTION .0F FINITE ELEMENT MODEL I (b)._.ANSYS FINITE ELEMEN N.MODELS ..-....
4
... .1C). ANA L YSIS.. /NPLIT . .. . .. --
6 OUTPUT. . - - - . . - _ - 10
.. (d) -. ANALYSIS s .
B) . EVAL UATION . 0F . 0UTPU T ._ . - ._ .-. . . . . _ . 33 l t
... Cf) .VERIF/CA Tl0N OF. . PRYING ACTION FACTORS . .
41 _.. (83 .. PRYING. ACTION . FA CTORS .FOR APPL /CA T/ON 44 N1/649
. . . . . ~ .
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? VOLUME I - BOOKS 3A thru 3J EBA5CO SERVICES IWCORPORATED
- 5.,3 Tl N-.av 7/2/Bf ,,, / ,, /
T icuno. sv b - ear' UTILITIES GENERATING CO. '""' cur., COMANCHE PEAK llNIT 9 - CALLE TRAY HANGERS svasec, PR'YIME _Af 710A) FACTORS $ fok'MULAC FOR TMUTIA)G Al)CMCR BbcTS VOLUME 1 - ! i_. CA L CUL ATlO AJ SSS k' 6 3A,SP.), 3C y SD ,SE ,3T, SCg , SH y14 SJ BOOK CC A.iTE MT6 - -- No. OLCUL ATICM Scog .F0W MNG MTION FAM 40L. l- BOOK 3 $ FDf?MULAS FOR EUAL UATirJG AIXHolt BOLT S " _ _ COMPUTER PRIMTcuT S Pog BASC ANGLE A?JAL -_. - yooy3g L 8 {&t k- 4 4'4141% w/7 SCL.TS WMW WTCUTs FOR SMC AMGLE AUAL- . . _ . .
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VOLUNE I - BOOK 4 (')) ( TEXAS UTILITIES GENERATING COMPANY COMANCHE PEAK UNIT No. 2 TA3LE OF CONTENTS CABLE TRAY HANGER GEOMETRY GROUPING - (10/17/85) R1 I Cable Tray Hanger Geometry Classification Code 11 Procedure for Grouping Cable Tray Hangers III Groups Geometry Volume I Group Code Book Numbers U1 4 U1-1, U1-2, U1-3, U1-4, U1-5, U1-6, U1-7, U1-8, U1-9, UI-10, U1-11, U1-12, U1-13, U1-14,
~
UI-15, U1-16, U1-17, U1-18, U1-19, U1-2 0, U1-21, U1-22, U1-23 ult 1 4 ult 1-1, U171-2, ult 1-3, U171-4, (~' s ult 1-5, ult 1-6, ult 1-7, 'J 1!1-8, ult 1-9, 0171-10, ult 1-11 ult 2 4 U172-1 l U151 4 U1B1-1, U1B1-2, U1B1-3, U1B1-4, U1B1-5, U1El-6, U1B1-7, U1B1-8, U1B1-9, U131-10 U152 4 U1B2-1, U1B2-2, U1B2-3 U133 4 U1B3-1, U1B3-2 l ult 1B1 4 ult 1B1-1, U17151-2 U2 4 U2-1, U2-2, U2-3, U2-4, U2-5, U2-6, U2-7, U2-8, U2-9, U2-10 U2T1 4 U2T1-1, U2TI-2, U2T1-3, U2T1-4 U2T1-5, U2TI-t , U2T1-7, U2T1-8 U2T2 4 U2T2-1, U272-2 U2B1 4 U2B1-1, U2B1-2, U2B1-3, U2B1-4, U2B1-5, U2BI-7, U2B1-8, U2B1-9, U2B1-10, U2El-11, U2B1-12, U2B1-13, U2El-14, U2B1-15, U2B1-16 1264R l
. O VOLUME I - BOOK 4A TEXAS UTILITIES GENERATING COMPANY COMANCHE PEAK UNIT No. 2 TABLE OF CONTENTS CABLE TRAY HANGER GEOMETRY GROUPING - (10/17/85) R1 III Groups Geometry Volume I Group Code Book Numbers U2B2 4A U2B2-1, U2B2-2, U2B2-3, U2B2-4, U2B2-5, U2B2-6, U2B2-7, U2B2-8, U2B2-9, U2B2-10, U2B2-11, U2B-12, U2B2-13, U2B2-14 U2B3 4A U2B3-1, U2B3-2 U2T1B1 4A U2T1B1-1 U2T2B1 4A U2T2B1-1 U3 4A U3-1, U3-2, U3-3 ~
U3B1 4A U3B1-1, U3B1-2, U3B1-3, U3B1-4, U3B1-5, U3B1-6 U3B2 4A U3B2-1 U3T1B1 4A U3T1B1-1, U3!1B1-2 U4B1 4A U4B1-1, U4B1-2, U4B1-3 U4B2 4A U4B2-1, U2B2-2 U4B3 4A U4B3-1 USB2 4A USB2-1
+ .
4
- O d
1264R'
VOLUME I - BOOK 4B TEXAS UTILITIES GENERATING COMPANY COMANCHE PEAK UNIT NO. 2 TABLE OP CONTENTS CABLE TRAY HANGER GEOMETRY GROUPING - (10/17/85) R1 III Groups Geometry Volume I Group Code Book Numbers W 4B W-1, UW-2, UW-3, UW-4, UW-5, W-6, W-7, UW-8, UW-9, W-10, W-11, W-12, W-13 UBW 4B UBW-1, UBW-2, UBW-3, UBW-4, UBW-5, UBW-6, UBW-7, UBW-8, UBW-9, UBW-10, UBW-11, UBW-12, UBW-13, UBW-15, UBW-17, UBW-18, UBW-19, UBW-20, UBW-21 U2W 4B U2W-1 6, SPEC 4B SP-1, SP-2, SP-3, SP-4, SP-5, SP-6, SP-7, SP-8 L3W 4B LW3-1 U1Z2B1 4B U1Z2B1-1 U1BL 4B U1BL-1
~
IV Memos to Design O 1264R
l VOLUME I - BOOK 5 TEXAS UTILITIES GENERATING COMPANY COMANCHE PEAK UNIT NO. 2 ~O. TABLE OF CONTENTS SUBJECT TORSION AND RELATED STUDIES SECTION Composite Qumel Shear Center I Warping Sttusses for Single Channels II Warping Strusses for Composite Channels III O O
VOLUME I - BOOK 6 ! TEXAS UTILITIES GENERATING COMPANY : COMANCHE PEAK UNIT NO. 2 l O TABLE OF CONTENTS { SUBJECT BUCKLING STUDY PAGE I
- 1. Introduction 3 t
- 2. References 5
- 3. Conclusions 6
- 4. Methodology 8
- 5. Sumary of Results 12
- 6. Calculations 14 :
- 7. Computer Run Sumary 43 i
, L f i i f 2 1 iO : 4
VOLUME I - BOOK 6A TEXAS UTILITIES GENERATING COMPANY m COMANCHE PEAK UNIT N0. 2 TABLE OF CONTENTS BUCKLING STUDY COMPUTER PRINT 0UT CTH Desestrioiv EVN No. OA Tc IAANtC IWC lcm;rw, Fr. Wmig, Ir.I LcAONG fCMMENTS , Dot SCt7 'l'//IS Ul s. O 3.0 1 - eBC
. Oct TA47 'l'lfli _. f-abl Ool785y c/ttllf 3 3S[
ooirem '/i$s s.o x-zu ooivat e '/11/tr s. c : octuson '/nl!5 3.0 .1 Dot 3672 'l7/6 40 I tot scEF th/if H ocaoa </v/?S z " Sjeg'o DCeRCKR 4//clli Ul S. 5 4. 0 E Octocc3 s/t2/95 yz 5. o 30 I cer ooc ue9, /h- s. o n -cet DotROA3 4/tYlW 4. 2 I-eBC DeLSAP/ 'l'S//S 3.0 E-ea r DoLRocB '/*YliS 4.0 Y oer OctRDoS C/15l/S U2 4.2 4.0 ? -car 00 e 2c4.e 'Isc/IS viai s.o 3.0 1-s>r occabst 4/talts r - s> c coenCcv s/n/tS x-cer ooirege </a/rs n-cee De tt CI F '/t7/15 Ult ! 5. 0 -es t pocsecF 4/n 5ltf VI61 6. 3 I -osc ocirazi '/zs/s 3.0 ? - er oatsCes </es n 4.o cac potsDIT 'lcr 15 VIS I E coc cee rc et ts v281 r-ar pot TtPt '/as/l/S
'ltc v2Bl 6.2 4. 0 E -0Be~
i VOLUME I - BOOK 7 TEXAS UTILITIES GENERATING COMPANY COMANCHE PEAK UNIT NO. 2 () TABLE OF CONTENTS CABLE TRAY HANGER LOAD LOCATION STUDIES SUBJECT PAGE 1.0 Introduction 3 2.0 References 4 3.0 Conclusions 3.1 Vertical Load Study 5 . 3.2 Longitudinal Load Study 5 4.0 Calculations i l 4.1 Vertical Load _ Study 6 l 4.2 Longitudinal Load Study 13 O. . f 1 1-
.O-1 i t
l , VOLUME I - BOOK 9 (PART 1) TEXAS UTILITIES GENERATING COMPANY
- COMANCHE PEAK UNIT N0. 2 TABLE OF CONTENTS MODEL NOS. 1 & 2 SUBJECT MULTIMODE RESPONSE MULTIPLIER - STUDIES PAGE
- . 1. Sumary of Results 1
- 2. Structural Drawings and Finite Element Model 7 2a. Model #1 8 2b. Model #2 . 20
- 3. Response Spectra Input 31
- 4. Boundary Conditions 58
- 5. Frequency Results 60 Sa. Model #1 61 Sb. Model #2 65
- 6. MRM Results 69 O 6 a .- Mocel #1 70 V 6b. Model #2 131
- 7. Sumary Tables 192 4
l ( t
VOLUME I - BOOK 9 (PART 2) TEXAS UTILITIES GENERATING COMPANY COMANCHE PEAK UNIT NO. 2 TABLE OF CONTENTS
, MODEL NOS. 1 & 2 SUBJECT MULTIMODE RESPONSE MULTIPLIER - STUDIES PAGE
- 1. Introduction 1
- 2. Spring Constants 2 2a Model No. 1 3 2b Model No. 2 -
13
- 3. Response Spectra Input 27
- 4. Bounda'ry Conditions 28
, 5. Frequency Results 29 Sa Model No. 1 30 Sb Model No. 2 34
- 6. MRM Results 38 6a Model No. 1 39 6b Model No. 2
(') 101
- 7. Summary .104 1
O J l m - - - - . - - . - ---..,,..n - . ,, , , - - - , - - - .,-----.-.;-,,-,,.--. . , , , ,
VOLUME I - BOOK 9 (PART 3) TEXAS UTILITIES GENERATING COMPANY COMANCHE PEAK UNIT NO. 2
+O TABLE OF CONTENTS MODEL NOS. 1 & 2 SUBJECT MULTIMODE RESPONSE MULTIPLIER - STUDIES PAGE
- 1. Introduction . 1
- 2. Earthquake Input 2 2a. Time History Plots 3 2b. Response Spectra Plots & Values 8
- 3. Time History Approach vs Response Spectra Approach 15 3a. Model #1 Fixed End Boundary 16 3b. Model #1 Spring Boundary 23 3c. Model #2 Fixed End Boundary 30 3d. Model #2 Spring Boundary 37
- 4. MRM Computation 44 4a. Fixed Boundary Models 1 & 2 R.S. 45 4b. Fixed Boundary Models 1 & 2 T.H. 52 4c. Spring Boundary Models 1 & 2 R.S. 65 4d. Spring Boundary Models 1 & 2 T.H. 74
- 5. Sumary of MRM 87
~l I
O
VOLUME I - BOOK 10 TEXAS UTILITIES GENERATING COMPANY COMANCHE PEAK UNIT NO. 2 TABLE OF CONTENTS MODEL NO. 3 SUBJECT MULTIMODE RESPONSE MULTIPLIER - STUDIES PAGE Introduction 1 Procedure 4 Reference 6 Reference Drawings 7 Response Spectra Curves 15 Model Boundary Conditions 27 3upport Sketches 29 Grid and Element Numbering 37 Plots 45 Properties 49 Flexible Boundary Stiffness Matrix 58 Tray Frequencies 60 Fixed Boundary Condition Case Support 11099 List of Computer Runs 61 Equivalent Static Method 62 i Design "G" Value Computation 63 L Input to Response Spectra 66 Modal Plots 69 Summary of MRM Factors 72 Flexible Boundary. Condition Case, Support 11012 I List of Computer Runs 74 l Equivalent Static Method 75 i Flexible Boundary Condition Case, Support 11012 Design "G" Value Computation 76 Input to Response Spectra 79 Modal Plots 82 Sumary of MRM Factors 85 Appendices Computer Runs Volume I Book 10A p Volume I Book 10B Q Volume I Book 10C
EBASCO SERVICES INCORPOATED CALCULATION COVER SHEET TEXAS UTILITIES. GENERATING CO.
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+he a ec e lecalion ch fainec/ feo m on ro } ioing/ent egwba s fa +ic m e thoc/ agroacli to the accelera h'cn o k faineel by usmg a lump ed n:ns
.sy s tem oly namic approac f . Tn this s fusf an ca c faal sysfem of C TH .s i.s u s 'd-(T, wD CONTAINS ASSUMPTIONS WHICH REQUIRE CONFIRMATION
- YES NO N ASSUMPTIONS CONFIRMED ON 3Y upkj '
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REV. SHEET NAME DATE NAME DATE NAME DATE NO. NOS. CALCULATION SY CHECKED SY REVIEWED OR APPROVED BY PRELIMINARY FINAL SUPERSEDES CALC NO.
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,c M09E L . q,, Bc>usdary CoadHion.s . 2F-SujoporF S kde he.s - e9 Gei of nd Elen.en+. h% lowing 37 Plofs 45 Pro p e+;#s 49 Fleyiblo Sa.mdary 51if(nes s Ma} rig 57 Tray Frep encles 60 fixEQ BOutvD A R f c.e>W f> tT70F' edSG SUPPol?T l1099 LisF c9 com pnf ee Runs 61 Eguove.l.o.,+ Sh /ic. Ma (b od 6;:. Do sig n 'G " vnlu e c m pr+elton 63 Inp u t- fo Rospens e Sp*drA 66 Medal Plc/p 69 Summ ury a f MRM he for s 72 FLC)(18LC SouWpilPY Co^'P1770W c. A si, S4PPcRT llol2-0~ Lisf af co piee Auns 79 E gulvolen 1 5 Hfie Me i h ocJ 7s 901/S-01
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[<ef uovcies usiny . Dun e.lcloy s fo e.n la . 10 .
- lo +ain ih* .s71 0%
f rey u +n ey . This syS /n f <ef utecy, n log wilh F h e r+ysese spec /en aurv<. j.s a s oel to .o b fain er . Fins.Y u cc/c des.y y ' va lu e . If +he e e -pu +ed sysleon f<ey o<n ey is lo Ihe }e f t of_fhe ,f~r eg u+ s e c e> < r
- spon cling 'J o th e . p e < Ir "on 1 the joe a /r g valu)e
.r#Sponse . sp e e f <c. c. u r v e . , f4en is s e 4&c/
as the fies f nroda d4 +/y n "y ^ va Iv e . $n fhe o fh w hand, if / h e O' c.c mp J oel Sys / e- is f a fhe riy 4'l o f Fh a ft 47 u *ec y {<epu-eney /
+hc p ca c a c ur r < spa <eting io )" .c n r* sin,, s> sp e cl<< cun.o ,
fb es fhe aelua/ y " va /u e , {<c~ fhs r ~ sy c? n s a speef<a e c. < va , e * < < e spew iosg io +k< e co mpu l *d sy s /*~ l i.s u s eei e c l' < {ies+ - core d ecip j " va ta.<. To a ce aunfe f ogfoeu. ma en cy //ine.7 /
< c*ym ,
* (('*d z , fha V& e ls., < th e, u la Ic >y C ow ics/c nN (HRC) y ur'C l* g a su ,
%f fke a h o va feunot {i< s i marlo de si) ,, y " va lu o 9 lc e n: .,IC,: /~ '
by e. fac fear e{ /, 50 tc) csmp/</e fhe 1 la He e +si9 s, o . . e ' m lp . o{ H4 s uppoy'l. The pu,pase of +his M u ltimacle Respon s e Mu l+ ip lire (MEM) amp li[ica lian faefer sfudy is fo shsw theaf- for fhc Com ana Le Peak 14R S p roj ee f, even the use o f an 125 n.w llip s c < Ite n {a e lo e is con s ee va &a wh et using /ho 55 tti e.jsp roa c 4 (v< c7H do rij n . To* de t'e<-i r e +he es u s e < <a fir m (/f any ) in fhe 1.19 amplifica /io , faefor , + hi s sfuely he sically ra /icies) +ke (i s f p on oo!< d a s i p 'c; " value fou d from He ESM *pp ro'c h , + l h a r, V e< ver a 9 e ') ' vc< lu.eo b /o irs eof for tha sa m e supywet is a sy s fn ef supports b y using a lun,p.ed sna s s approc h, fn the fu, pel irm appr one b hofh the tysle- and olync<wic r f(ee fs on the s e ler /oel 801104 1
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.joolni on fbe so /*c f ed s upper f. a s we//; < J4 9. .<c e s t- v a t i o u s
.of he l r sy polnis fbe. sepfoe+ suppoci s . Fra , +L o n acceI,v < fions can a vm y ,e "3"vatu*
is co /,rel . Tkn /wM
.fa ed er . is, than. Eoua A by . dividiny 3 h r . firs + nod de 97 n '}
- vrla o 4 to ln a d fr om . ihr. ESM by +h e c< v<rsy < '3 " foned g from l is.a luy ad nao <j,rp roa e h .
V 7~h< selec fed sy s / es., .o f scapf>or+s w as chaseo feo , +ka Sa fe 9 ucact L.lldie,y a f . floor p la n e le va lion . 9 3 l'~ 6 ", % w 76. 7~h e sys/<m con sis ts of Sk sup)'<orfs c<not fi+e Ivay s. By c /ct ssifica Hen, tha S-e in c lu ole : .{ou r VerHeo/ ceiling wounhc/ f ran s voes e f rajo e c sc.jof or f s
- cne horikon f al f rans v4 <t*
c.an H/*v < c o /u ,,, meun1.ed s v,op o,+ fae e a c 1, o1' +h c /wa + r ay - and o ns e S P- 7 horit en f a l , +riary u la r , Is ong H uelinal co n filw r suppor+, fu e s. h o f t h <. h o fra,js. The 6
- e. s lu >m n m o u n t -e d ,
7 span s are all app ro xim a le ly C '- c' " . 7~h e fro site is z u' >s and it consiof<<oof covse.aol vilk +k<<melay.y The<< a<e -/ w
- siny la 4-<*y runs r c.pp o < t o rf sk EL t u s '- W' uel CL 2 4 S '- c '.
Foe +hr akuve syslen,, +wo suppoor fs were s.eloc/ed fa com p le le &his .s h dy . Yh e fits F w s.s f h .e varHedl irsesv m c f np< z suppae+ 1 t o 9 9, anA H< se e* nd was t4< Iengiludhs/
+<ianguler can I;I evor s uppro< + II ol e. . Th e (;<s f w n sfu:GJ in a sy.s % of p ir< n ed - find boundary conditions a~ d /49 s aw,,J wa s, s /ndled for ik< saw a syslew hut wh t, f Io n b l+
(O bov,sdary c oso itioes . Th e fle va bl* harvado y coadilio..$ few sypwr l sluta m e .a siv u ta nel by d;naffy inp u H,,, + b ., sfidam
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+hr . /. a C mu /lllo liar _- ms f h a f-, .f h.* s a M oi s upper 1 s i.,
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and vif k l- 6 e respan sa sp* ch e e e<rv e. . core-* tpcm cKnj +v % p' coc %l elevafion ei tha sy s /<w (EL fr S A , 5) , for tw + h 4hs G oei a J ssE .ea t es . The c on c lu s io n from thEC Slurly i.e thd +h* /. 2 c es. H Q h e r useol in +ke CTH doslyn by th e LT S M appro*e4 is as4 p<'< an d v eme<lns on t-h < eenservativt sid4. m
EBASCO SERYlCES INCORPORATED Sv L 6. O 1. n/i/ter .,,,,, 4 0, s /> CHMD.SY DATE
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l.- l . { . _.. _ _ _ . l ne f o//owmg proceda<e wa.s us act) to:c ompufe m MRM fc.c.fo r for .s uppor t.s Itc) 9 9 (In +ke. ,Un- fiyac/ 3-p sysf em) emd .// c)/a .(In .the .fletikle. b-p systeQ :
- 1) S f acclyu e feeguaney run made Joe each o l' W 3 -D sy slews , ujo +o 33 Hz.
e) 7~Ao fo f a I weigk+ of sysfem in fh< V.L,X2,aaI X3 direc /iciu s and +h o waic ht for <aeb nodai point en enel, suppor+ and supp o e + ed , +<<y is re c ca <dul.
- 3) To fal in +% XL wet) h + p a < Heipalien fr o ,, f<e q u eecy run
)( 8. a n c) X3 direelio m s summect uja fo 3 's ll 2 .
- 4) Th e ratio of modal weig h F fo< eaek olin c k'o n fc>
toicel is e < /c a la hd ( sf*p W 3l50p M fu XL, Xe in weicf+ s) The non ps <lic ip a t iney w<i c, h t is c.a lcu la frd by :
% = .t.o - Step # q. rsfio for each cliras ficm X 1, V 2 ( n
- 6) Stardyne R* spn se Spoef<a Ru n s (r> ypR6 4.) a r-e u< a che Iu obla'n the areele<alions for the sel-ee/~d nada l poi,d s a n st + ken those acco/n e lisns are adjus kd {ve tha non -pa< ficipaling me ss by :
F a.7. (Adjaskd) = cd (From Rnponse Sy<e(<n) u + (F $ 2PA) ; ,q 7) T43 weie,h+ mulliplioc / hy acijusf#o! e- eler anon fx /he O seloeirol nodal poinis ic so mm e J fo r all hvo< dihdwe : XL,Xe ano' X3. ( 2 W.i a r' g) 941/049
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- 9) The a v< < c7 e "9 "
i.s ha n c.o,-pu bd by : S wi ctri - Cs+*p+7)-~~~ pve= ,1 y, ( uep +g) - 6or +he o r tho y e.e al al/ rec Hon 9 to) A S ts < elyn < .a -l? fref utney run is . m a do (- c scp. p ef: g //o99 en d //d/a to olof e in + b e fits f suede supp+rf W fregt<ency in fh e o r- fho y os,< / z/i?.ec. Nou.s ll) The irsy fr*tt<*seies in i k -e ic e k + s i >< e A Fr n + h .e o< siy n ror + cuide h ono[.1)p(on<.) de e elicu
- 12) The sy slen, f<*fonelos are c. o .,, p u f.< ut by u s in q
() u n k le y s forw ular for th or thoy oaa l dl<eclics.s ' by . r
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= k+b
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- 13) For each orthogonal system (<<g u en ey (Step
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anolocation is found frun he re spo., s e spreI<a cw ve. In) MRM is c alcul l<ot by
- MRM = us O v kid
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EBASCO SERYlCES INCORPORATED ev L. 6. oare 9/d8F sweer 63 o, 84 CHKD. Y DAre OFS NO. *22! M9 cucur TEXAM Imi mM CEMEDATIMA m_ enosect ELCbi -COMANCHE
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EBASCO SERVICES INCORPORATED ev L
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EBASCO SERVICES INCORPORATED
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EBASCO SERYlCES INCORPORATED L G. ...SMer ..., 54 o, u C DATE , OPS NO. ' M IEXAS UTILITIES GENERATING CO.
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EBASCO SERYlCES INCORPORATED BY ' ' OATE !!. SHEET OF CHED.SY * !
' DATE ' ' ' OFS NO. '
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I Pt EO TABLE OF CONTENTS FOR Tills BOOK
'D 9
9 (0 -
VOLUME I - BOOK 9 (PART 2) TEXAS UTILITIES GENERATING COMPANY COMANCHE PEAK UNIT NO. 2 O TABLE OF CONTENTS
, MODEL NOS. 1 & 2 SUBJECT MULTIMODE RESPONSE MULTIPLIER - STUDIES PAGE
- 1. Introduction 1
- 2. Spring Constants 2 2a Model No. 1 3 2b Model No. 2 13
- 3. Response Spectra Input 27
- 4. Boundary Conditions 28
- 5. Frequency Results 29 Sa Model No. 1 30 Sb Model No. 2 34
- 6. MRM Results 33 6a Model No. 1 39 6b Model No. 2 101
~
- 7. Summary 104 a.
. O ! 1 i- l
V O GENERAL TABLE OF CONTENTS VOLUME I - BOOKS O O
VOLUME I - BOOK 1 TEXAS UTILITIES GENERATING COMPANY COMANCHE PEAK UNIT NO. 2 TABLE OF CONTENTS SUBJECT GENERAL INPUT DATA (10/31/85) R1 SECTION Organization of Documents in Volume I & II _ (t.gre.Q i - viii
' Design Criteria
- 1. Seismic Design Criteria for Cable Tray Hangers for Comanche Peak Steam Electric Station No. 2 I Rev 3 Date B/2G/85
- 2. Design and Analysis Procedure of Seismic Category I Electrical Conduit System Rev 2 Date 4l50/85
- 3. General Instructions for Cable Tray Hanger Analysis for Comanche Peak Steam Electrical Station No. 2 Rev I Date 8/2S/84
[ General Notes II l j Refined Response Spectra Curves III
- 1. Refined Response Spectra Curves for Safeguards Bldg., FSB-5R, November,1982 l
(GTN-62339 dated November 16,1982) i
- 2. Refined Response Spectra for Containment Bldg.,
FRB-7R, December,1982 (GTN-63341, dated January 18,1983)
- 3. Refined Response Spectra Curves for 4% OBE i and 7% SSE of Cat.1 Bldg. Floor (GTN-69817, dated February 8,1985)
- 4. Refined Response Spectra Curves for Fuel Building, 4% OBE and 7% SSE l
(GTH-70739,datedOctober 17,1985) O
6
-VOLUME I - BOOK 2 TEXAS UTILITIES GENERATING COMPANY COMANCHE PEAK UNIT N0. 2 TABLE OF CONTENTS SUBJECT COMPUTER RELATED INFORMATION SECTION P Delta Strudl Program Usage I 1.- Instruction'for Ebasco IBM PC workstation
- 2. P-Delta.Strudl example problem No. I " Frequency Analysis" (later)
- 3. P-Delta Strudl example problem No. 2 " Static Analysis" (later)
- 4. P-Delta Strudl example problem No. 3 " Base Plate Analysis"(later)
- 5. PD Strudl (frequency ( static and base plata) data input forms (Base Plate later)
-6. Beta angle guide.for PSDI-Strudl
- 7. ' Input of modchano into computer
'8. Calculation of equivalent density including thermolag
~
-9. AISC Code che,cking verification of P-Delta Strudl Program (later)
- 10. P-Delta Strudl/Nastran Result Comparison (later)
L l . [ i._
- LO t
-. ~ ,--.. ._ _ .__._ . _
. . . . . _ , . _ _ _ _ _ _ . _ , . _ ~ _ . ..__
SH 1 of 2 VOLUME I - BOOK 2A TEXAS UTILITIES GENERATING COMPANY O COMMANCHE PEAK UNIT N0. 2 O TABLE OF CONTENTS SUBJECT COMPUTER RELATED INFORMATION SECTION Member Property Tables Included In The STRUDL Subsystem See Appendix D of PSDI STRUDL Manual Table Tabic STEELW (Wide Flange Shapes - 1969 AISC) D-26 1 Table STEELWF (Wide Flange Shapes - 1963 AISC) D-27 2 Table W1978 (Wide Flange Shapes - 1979 AISC D-28 3
- 4 Tabic ST!!EL-llM -
@ Tahic STliEL-ilN *
@ Tahic STEEL.-IIW Tabic STEELM (Misec11ancous Wide Flange Shapes) D-29 7
Tabic STEELS (S Shapes -- I Beam 1969 AISC) D-30 8 D-31 9 Tabic STLCOL78 (Wide Flange Column Shapes-1978 AISC) D-32 10 Table STLS78(S Shapes - I Beam 1978 AISC) 11 Tabic STEEL 11P Tahic STLllP7fl llP Shapes (Piles - 1978 AISC) D-33 12 D-34 13 Tabic STEELL (Structural Ang1cs) D-35 14 Tabic IEANGLliS (Singic Angic with Equal Legs) Table ILANGLES (Singic Angle with Unequal Legs) D-36 IS Table 2EANGLES (Double Angle with Equal Legs) D-37 16 17 Table 2SANGLES (Double Angle with Short Legs D-38 Back-to-Back) la Tabic 2LANGI.ES (Douhic Angle with Long Legs Back-to D-39 Back) D-40 19 Tabic STUliLC (American Standard Channel Shapes) D-41 20 Table STl!ELMC (Miscellaneous Channel Shapes
- 21 Tabic STEELWFC .
22 Table STEELMT D-42 23 Table STEELST (Tees Cut from S Shapes - I Beam) p
SH 2 of 2 VOLUME I - BOOK 2A TEXAS UTILITIES GENERATING COMPANY C0Pt4ANCHE PEAK UNIT NO. 2 rd' TABLE OF CONTENTS SUBJECT ' COMPUTER RELATED INFORMATION SECTION s Member Property Tables Included In The STRUDL Subsystem See Appendix D of PSDI STRUDL Manual Table 24 Tabic STEELWT (Tees Cut from Wide Flange D-43 Shapes) 2S Tabic STLMT78 26 Table STLST78 27 Table STLWT78 (Tees Cut from Wide Flange Shapes- D-44 1978 AISC) 28 Tabic APISLX (American Petroleum Institute D-45 SLX Plain End Line Pipe 18 - 42 IN.0D) D-46 h Tabic AISCPIPE (Pipe Profiles) 30 Tabic CIRCTUBE Table TUBER 11CT (Rectangular Structural Tubing) h D-47 . O 0. 21l E 5 <sneere strecter 1 TenieR)o 48
- 34 Tabic SQTil
- 35 Tabic Il0LOTUBE D-49 h Availabic Weld Proporties Tabics D-50 h Available Tables for AIJ and DINS Codes Table TUBES - Tubes (Rectangular and Square - **
38 Depth 2" to 12") 39 Tabic ANGLES - Singic and Double Structural Angles (for STRUl)L TOWi!R Application) 40 Tobic STLW78 - Wide Flange Shapes (September ** 1978) 41 Table MODCHANO Tube Shape
- This section to be provided at a later time.
** From MCAUTO O Tables not included in this BOOK 2A.
l lO 1, L
VOLUME I - BOOK 3 SH 1 of 2 EBASCO SERVICES INCORPORATED
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- !. . TA BL E 'OF CON TEN TS - -. _ .__ . .. .
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.. SECTIoN I - G ENERA L .- - - . . . .- PAGE
--- ( 0. ) DESCRIPT/CN . 0F PROBLEM . .. l
_. . ( bl.JNVESTIGA TJDN PURPOSE . .2
. . _(C ) _JNVES TGATION PROCEDURE . . . _ . 3
- (d ) ANAL YSIS ME THOD . AND COMPUTER PROGRAM .6 l ([f.
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. . - . - . _ . ANCHOR BOLTS . 7
_. if) BASE ANGLES AND . PLA TES _ - . . .. . 12 l
-- _t3L_ PRYING . ACTION . FACTORS AND MAND CAL CUL A-
--- .... TION._ FORMULAS ---.. . . - . _ - - . .. - . . /5
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i VOLUME I - BOOK 3 SH2 of 2 EBASCO SERYlCES INCORPORATED l
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T . . _ . . . . _ . - _ . _ . . . . _ .. . . . .. (Y .. SECTlON. IV . CALCULA T/0NS . . . - . . ...
. . - . _ (a) DESCRIPTION OF FINITE ELEMENT MODEL .. 1
( b)..__A SS FINITE ELEME T 240DELS . . _.... 4
.- _iC)_ .ANA L YSIS. /NP1JT . - . . . . - .
6 (d) _. ANALYSIS . OUTPUT. . . . _ . . . _ - - 10
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l l l VOLUME I - BOOK 4 V(O TEXAS UTILITIES GENERATING COMPANY COMANCHE PEAK UNIT NO. 2 TABLE OF CONTENTS CABLE TRAY HANGER GEOMETRY GROUPING - (10/17/85) R1 I Cable Tray Hanger Geometry Classification Code 11 Procedure for Grouping Cable Tray Hangers III Groups Geometry Volume I Group Code Book Numbers U1 4 U1-1, U1-2, U1-3, U1-4, U1-5, U1-6, U1-7, U1-6, U1-9, U1-10, U1-11, U1-12, U1-13, U1-14, U1-15, U1-16, UI-17, U1-18, U1-19, U1-20, U1-21, U1-22, U1-23 (T ult 1 4 ult 1-1, U171-2, 01T1-3, U171-4,
\~ / ult 1-5, ult 1-6, UlI1-7, ult 1-8, ult 1-9, ult 1-10, 01T1-11 ult 2 4 U172-1 U1B1 4 U1B1-1, U1B1-2, U1B1-3, Ulvi-4, U1B1-5, UlB1-6, UlB1-7, U1B1-6, U151-9, U1B1-10 U132 4 U1B2-1, U1B2-2, U1B2-3 U133 4 U1B3-1, U1B3-2 U171B1 4 ult 1B1-1, U1!131-2 U2 4 U2-1, U2-2, C2-3, U2-4, U2-5, g U2-6, U2-7, U2-8, U2-9, U2-10 U2T1 4 U2T1-1, U2TI-2, U2T1-3, U2T1-4 U2T1-5, U2!1-6, U2T1-7, U2T1-8 U2T2 4 U2T2-1, U2T2-2 U2B1 4 U2B1-1, U2B1-2, U2B1-3, U2B1-4, U2B1-5, U2BI-7, U2B1-8, U2B1-9,
(} U2B1-10, U2El-11, U2bl-12, U2B1-13, U2B;-14, U2BI-15, U2B1-16 1264R
l O VOLUME I - BOOK 4A k- TEXAS UTILITIES GENERATING COMPANY COMANCHE PEAK UNIT NO. 2 TABLE OF CONTENTS CABLE TRAY HANGER GEOMETRY GROUPING - (10/17/85) R1 III Groups Geometry Volume I Group Code Book Numbers U2B2 4A U2B2-1, U2B2-2, U2B2-3, U2B2-4, U2B2-5, U2B2-6, U2B2-7, U2B2-8, U2B2-9, U2B2-10, U2B2-11, U2B-12, U2B2-13, U2B2-14 U2B3 4A U2B3-1, U2B3-2 U2T1B1 4A U2T1B1-1 U2T2B1 4A U2T2B1-1 U3 4A U3-1, U3-2, U3-3 U3B1 4A U3B1-1, U3B1-2, U3B1-3, U331-4, U3B1-5, U3B1-6 U3B2 4A U3B2-1 U3T1B1 4A U3T1B1-1, U3!131-2 U4B1 4A U4B1-1, U431-2, U4B1-3 U4B2 4A U4B2-1, U2B2-2 U4B3 4A U433-1 U532 4A USB2-1 O 1264R
~ . -
l 4 VOLUME I - BOOK 4B 3 TEXAS UTILITIES GENERATING COMPANY COMANCHE PEAK UNIT NO. 2 TABLE OF CONTENTS CABLE TRAY HANGER GEOMETRY GROUPING - (10/17/85) R1 III Groups
; Geometry Volume I Group Code Book Numbers W 4B UW-1, UW-2, UW-3, UW-4, UW-5, UW-6, UW-7, UW-8, UW-9, UW-10, UW-11, UW-12, UW-13 UBW 4B UBW-1, UBW-2, UBW-3, UBW-4, UBW-5, UBW-6, UBW-7, UBW-8, UBW-9, UBW-10, UBW-11, UBW-12, UBW-13, UBW-15, UBW-17, UBW-16, UBW-19, UBW-20, UBW-21 U2W 4B U2W-1 g I
SPEC 4B SP-1, SP-2, SP-3, SP-4, SP-5, SP-6, SP-7, SP-8 L3W 4B LW3-1 U1Z2B1 4B U1Z2B1-1 U1BL 4B U1BL-1 IV Memos to Design O 1264R
VOLUME I - BOOK 5 TEXAS UTILITIES GENERATING COMPANY COMANCHE PEAK UNIT NO. 2
- TABLE OF CONTENTS SUBJECT TORSION AND RELATED STUDIES SECTION Composite Channel Shear Center I Warping Stresses for Single Channels II Warping Stresses for Composite Channels III c
O
1 i VOLUME I - BOOK 6 TEXAS UTILITIES GENERATING COMPANY COMANCHE PEAK UNIT N0. 2 3 TABLE OF CONTENTS
;- SUBJECT BUCKLING STUDY PAGE
- 1. Introduction 3
- 2. References 5
- 3. Conclusions 6
- 4. Methodology 8
[ 5. Sumary of Results 12
- 6. Calculations 14 l 7. Computer Run Sumary 43 ;
i I . !~ L O. i j I i 6 i ~ O i
VOLUME I - BOOK 6A : TEXAS UTILITIES GENERATING COMPANY I COMANCHE PEAK UNIT NO. 2 (~} G/ TABLE OF CONTENTS BUCKLING STUDY COMPUTER PRINT 0UT Egg jyc. CTH Dcseairrio,, OA TC NAffic ?fM lCAGTM i fr. WIDTH, f r.' icA&NG Ccents'rs DcL SCET 'l'//15 Ul 5.0 3.0 1 - e6C
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VOLUME I - BOOK 7 TEXAS UTILITIES GENERATING COMPANY COMANCHE PEAK UNIT NO. 2 O TABLE OF CONTENTS CABLE TRAY HANGER LOAD LOCATION STUDIES SUBJECT PAGE 1.0 Introduction 3 2.0 References 4 3.0 Conclusions 3.1 Vertical Load Study 5 3.2 Longitudinal Load Study 5
. 4.0 Calculations 4.1 Vertical Load Study 6 4.2 Longitudinal Load Study 13 O
l
VOLUME I - BOOK 9 (PART 1) TEXAS UTILITIES GENERATING COMPANY COMANCHE PEAK UNIT NO. 2 TABLE OF CONTENTS MODEL NOS. 1 & 2 SUBJECT MULTIMODE RESPONSE MULTIPLIER - STUDIES PAGE
'1. Sumary of Results 1
- 2. Structural Drawings and Finite Element Model 7 2a. Model #1 8 2b. Model #2 20
- 3. Response Spectra Input 31
- 4. Boundary Conditions 58
- 5. Frequency Results 60 Sa. Model #1 61 Sb. Model #2 65
- 6. MRM Results 69 O 6a.
. 6b.
Mocel.#1 Model #2 70 131
- 7. Sumary Tables 192 I-O
VOLUME I - BOOK 9 (PART 2) TEXAS UTILITIES GENERATING COMPANY COMANCHE PEAK UNIT N0. 2 O TABLE OF CONTENTS
, MODEL NOS. 1 & 2 SUBJECT MULTIMODE RESPONSE MULTIPLIER - STUDIES PAGE
- 1. Introduction 1
- 2. Spring Constants 2 2a Model No. 1 3 2b Model No. 2 13 3.- Response Spectra Input 27
- 4. Boundary Conditions 28
- 5. Frequency Results 29 Sa Model No. 1 30 Sb Model No. 2 34
- 6. PRM Results 38 6a Model No. 1 39 O
6b Model No. 2 101 V
- 7. Summary .104 I
- O 4
VOLUME I - BOOK 9 (PART 3) TEXAS UTILITIES GENERATING COMPANY j COMANCHE PEAK UNIT N0. 2 Q' TABLE OF CONTENTS MODEL N05. 1 & 2 SUBJECT MULTIMODE RESPONSE MULTIPLIER - STUDIES PAGE
- 1. Introduction 1
- 2. Earthquake Input 2 2a. Time History Plots 3 2b. Response Spectra Plots & Values 8
- 3. Time History Approach vs Response Spectra Approach 15 3a. Model #1 Fixed End Boundary 16 3b. Model #1 Spring Boundary 23 3c. Model #2 Fixed End Boundary 30 3d. Model #2 Spring Boundary 37
- 4. MRM Computation 44 4a. Fixed Boundary Models 1 & 2 R.S. 45 4b. Fixed Boundary Models 1 & 2 T.H. 52 4c. Spring Boundary Models 1 & 2 R.S. 65 4d. Spring Boundary Models 1 & 2 T.H. 74 O 5. Summary of MRM 87 O
VOLUME I - BOOK 10 TEXAS UTILITIES GENERATING COMPANY j, COMANCHE PEAK UNIT NO. 2 TABLE OF CONTENTS MODEL N0. 3 SUBJECT MULTIMODE RESPONSE MULTIPLIER - STUDIES PAGE Introduction 1 Procedure 4 Reference 6 Reference Drawings 7 Response Spectra Curves 15 Model Boundary Conditions 27 Support Sketches 29 Grid and Element Numbering 37 Plots 45 Properties 49 Flexible Boundary Stiffness Matrix 58 Tray Frequencies 60 p d Fixed Boundary Condition Case Support 11099 List of Computer Runs 61 Equivalent Static Method 62 Design "G" Value Computation 63 , Input to Response Spectra 66 l Modal Plots 69 Summary of MRM Factors 72 Flexible Boundary Condition Case, Support 11012 l List of Computer Runs 74 l Equivalent Static Method 75 Flexible Boundary Condition Case, Support 11012 l l Design "G" Value Computation 76 Input to Response Spectra 79 i Modal Plots 82 Sumary of MRM Factors 85 Appendices Computer Runs Volume I Book 10A Volume I Book 10B
.O Volume I Book 10C
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1 I EBASCO SERVIC!'S INCORPORATED
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+ *"*"' TEXAS UTILITIES GENERATING CO. GOiviANCHE FEAK UNIT 2 PaoJact CARI F TRA,Y MANQFRR M2M su.,,e, STUDY
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EBASCO SERVICES INCORPORATED ev 6. P L o r, 9-n 'Bs 1 surer bl or / O F cwxo.av 4 84 /- oare 0 dd.F ors 33o6 22/ DE,'k_ 9 9 (,,)t cucur 7u6C
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e,o,ner C OM Ah/CHE PEA K #2 sunsacr SEISMIC RES PONSE 6 PECTRAL ANALYS!b OF CABLE TRAI S137Eh ! t.43 10, x3 l '"
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*' 9.82 9.01 VEET.
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j EBASCO SERYlCES INCORPORATED ey 6. P. 6 g ,3 8 /a8/05 ,,,, '4 k ,, /O[ CM M O. .Y 4 DArE OPS NO. S - I N I3 T) curar T U 6 C-enOsecr UWW4 Pent H su.secr seismic RESPDA/SE QECTRAL AMAlfStS OF CAttE TDf S YSTEM IXs@ HILTI SUPER Icwl/C Q L6x6x5/4 x 0;9 Bolt MARK 'T' N (TYR) \ Y 73 cn n x I i l i Mt i I I
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FIXED END coNSIDERINE NINGED BASE AN6LE FLEgl*
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X /1.d4 / 0, 2 / 10.22 L cng, Y 83 67 4 2.93 8z.63 lEL T. h Z 3/.20 1787 .20.95 TNAw.
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c0MPUTER l gun ,,9 DOL TC42 Dol TECJ Dot.RB//J 501/041
EBASCO SERVICES INCORPORATED sv 6. R d' . cara 8h## sacer N or O ewuo. av d' & oare WN ors no. 3304. 22 / "'G: 549 cunur ~TU&C PROJEcr COMWH6 NAk #2 susiner SEISMIC PESPCWsE SPEt7 PAL ANAC(SIS OF CAELE TRAT 6T37EH Y 8 L g
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1 6 ( $. P 7 LONGITUDINAL HANGER 3 ) i h Bausp onb. FIXED END j0l$'*l$${mm. HIN6Eb SMr> # Y f<we) hai) X 7/.59 20.51 68.38 LONG 1
'f 2 7.2 9 9.63 io.77 VERT.
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2 279.53 10867 275.4& TRANS.
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umaru RUN I.0 DOLSCGZ DOL T C3V DOLT 8CN M 1/8-41
r _ _ _ _ _ _ _ . EBASCO SERVICES INCORPORATED py *1 f d JY oAyg SMEET OF CHKO. BY DATE ops wo~b _ w CLIENT TEXAS UTILITIES naamaaineer GE.N.,ER.A..T..!.NG a- . _ CO. vvav6Maunc rugg yggi g g noneT CABLE TRAY HANGERS m BucT M2M 67UOl'
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ESASCO SERYlCES INCORPORATED er S , P. fu gzra 9-t 2 *'8[ ,,,,, 2,( ,, l O[
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CHKO.SY Dart- ' ~ OF 33o6.228 ' N ' Yd c*" ' ItxAS UTILITIES GENERATING CO. S NO.
- d. nosec, CO.'/,A!--:Clit PEAX UNIT 2 CABLE TRAY HANGERS su ,ne , M2M 6TuoV 19 M 103 7 / ,'M 05 101 i s.
2 X3 102 d6 3 so, 205
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" 293 201 309 I
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TR Ns. LCMPUTER nu u z.o DO L LI A RN dol V8F3 . 501/841
l EBASCO SERVICES INCORPORATED l eV O ' b* b OATE *' sMEET OF CNKO. av DATE
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OFS NO. 3 3 0 6.13 i DEQ g4(7 7 '7, TEXAS UTillTIES GENERATING CO' (j ""'"' CGMANCHE PEAK ums z enOJEc7 CABLE TRAY HANG _ Egg sue >Eer M RM 67UDY Y n- n g- ; o
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l3' I I i I I I I i l l' ll ii il g ( - ( TRANSVERSE HAN6ER) .I i l Bt w 2Y cons l DER \W6 BASE j '7/g* Ff X ED AV4LE Faxiciair HIN65D
' OtP<t-Tiell i Hi) d(H2) fN2) x II. 22 9. f l 9. b i LON6.
Y 6848 M.2 3 43,19 \
- VERT. ;
E f 3, 4 g TRAMS, 2/.99 /2.74
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EBASCO SERYlCES INCORPORATED sy 6 P& oarg *1-f2-'8J swear 47 or / O[ cuo. 8'*'/A o ,1, />6-h" o ,,,, . n o 6 , 2 2 > o=lo: 54:< cm" ltXAS UTILITIES GENERATING CO. 00 MAN 0;it PEAK UNIT 2 PROJECr CABLE TRAY HANGERS su.>ner M 2 M 6rt.ipY Y X l O Z A k 1 kt QY Y Q (SP7 LON6/ TUDINAL HAN6ER ) BCutiDART C NSIDERING BA3g Co D - FIXED piesc. M6 LE FLExIBittTy l'ON (H2) "f(Ht) (H2) X 27.82 25.42 25, y3 tong, Y 7e 9 7 8.09 VERT. i Z TRANS. E d' O b l' 4 A d 2 6.18 COMPUTER qan 1p. DOLUV F J DoLjfgp pozgggy 981/8-81
EBASCO SERVICES INCORPORATED
,, 1 /4 c # o do.v. ' ////W . .16 FrO, /03 CHKD.BY DATE ! OFS NO. N -
t ' c *"' itXAS UTILITIES GENERATING CO. COMANCHE PEAK UNIT 2 PROJECT CABLE TRAY HANQFR$
.u.,,Cr M RM 67007 i l
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EBASCO SERVICES INCORPORATED er t Il C41s%r, 'I ll } ?] ' _, & ,, l2 c-o...ONAt4.r. H / / / Sf o,,,,o3 a o L oh r7/./) ' cuteer ... _ TIE _S GENERATING CO. anoscer wmniwrit t'tAh UNil 2 CABLF TRAY . . - HAN.Cr.o..c
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M PM su.;ccr $7uCT _ _a j . - - - - e: i n 4 ._ ___...__.___._____ .k* 4
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SS1/8-e1
I [ g o . 1 . E '295 ! s Corpmt fw bs%0kW l I 9 i DIRECT 10N.: t/uricAL 06& +7. , s)#' MIG Baumbaty, TRAY SUPPORT t MIDDLE h LOWER m UPPER ' '
% )%
N006 WEIGHT AccE. N0DE WEl&MT AccE. NobE NEl4HT AccE. H@E NEIGHT AccE. 6
- s 2j o.*39 14 \ L go} oN/f 6.tW 0,T h'
-q T th') o.a.37 i.Ni ? o.03 9 \.
- 5 > '] S i V r.. o r P 4 79 rca .> 3otr ato diz+ o,df gjc g$,E i,8 a 7f i.n3 >P 77 . .
! EW ao7f o, t 7. a NY a.*2/, d',14 pM'] ')2E -
N o.07f a)2f f a.a77 0.t L i 7 - . . : t
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\ ; %'15, .c Y \ 0.67f t.1;'s
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%l ,.3 9 ll ,3 f ini 97 ei/3 o.iii b,qv g!:q g il adf7 2j.iaf i.f3$ 'n 3 2 in' i i
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is- p M o..f s.it air - g s dck! Ho o.o/3 7 thy 48W @ = po 4 6 : : , o.lzg . m
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Mj ogy ag2f .ome' ?, i . RATib of.'MOOAL WElGHT TO TOTAL PVElGHT ,
- p, = s'm6 , o. g ,; : ]I
! s sa B ,. .
_ $ p ,,,y ey. Jo 7 n L 2 to ' sE. 6.1 9 5 . g5.y 1
,f '
o idISSING WEIGHT RATIC Fa. = I- F1 * * . 5 +7 suPPorr x w,'n, . .loMTj. . l TOTAL ccELERATioH Gr = l0.* + % ZPA T 2PA=oLO i k~g
I EBASCO SERVICES INCORPORATED
., 5A sk oave 9/w /91~ /of er 4/ o, c no.av.I # cibilony 9A//M MM. M / So,- 649 , ; cucur TF.XAS UTILITIES GENERATING CE. no cora g;c;;; ,ncAg up;;7 ;
PROJECT su.,,er M 2M STUDY M O del. .I BUILDING t REA C TOR EL E VA Tion : 905.25' DAM PING : 4% OBE SPRIN6 800NOARY DIPEC T/0N : VER 7icA L PR EVIOUS DES lEN PROCEDURE HANGER FREQUENCY = 42.93 HE CAElE TRAY FREOUENCY = lo. I di SYS TElvt FREQUENCY = 10 I HE DESIGN f = /.228 rn Lb FROM COMPUTER RUN 10 : DOLTCAB M RM = = 0.255
$ des;an U .e 309/S-01 1
i 1 a
- ji g s '
DIRECTION :7xou.rvertE(tairsnt)oBE 4;c .ytou5 /*oney, comprat fM tb DOLUASR ll' % TRAY SUPPORT R UPPER MIDDLE LOWER AccE. N0DE NEIGHT AccE. ar , , a N00E WEIGHT A ccE. N0DE WEl&HT A CCE. NODE WEISHT
~
1 5i p ty1 o.oa9 0.W,1 s'} o.es t 0: 7% ] e.*S9 *.1H y>3 o.o# QH) o.n4 sy y i
*Y' t
ang >P ,7f o.679 p o e7f o.p 2. SoF .s e o.5p o.up y _. y % ,,, F/ 0.4 42- . M ? - Q 49 a.*19 0.598 >$ .o79 o.t 7,L- 9 e.o7f o. ,7 F sor .*a l as\Y- o nh -
;0:Sw c
Q m: 3 _r m 70 o.'07.9
- o. E h o.e7f 0 b~1 A l0 4.*7f D.9!b 'sab 0 6Mye k..t-81'e;boj xmm G. g
*m
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3*] * *f3 5 5.N {- W ep3f 09$8 %\ s.s3 f U-]58 o.*39 9 412 PM
=
3ey aoa./ est'l 0.df1 $5Eg 3 ( i r - 1 i , DP5 9
' . .s c oW) 07f\ :omoo "'d' y a .,. *.s is' , o.s or ,
so] o
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-s
' 310 o,a/3 o,712 0.Bo/ % p
' TAM /l1"idt*#d#7 n ;
w .
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31\ o.oss o.79 1 o,gn E, t. RATIO 0F IMODAL WEIGHT TO TOTAL tvEIGHT *E
- 4 8 ///.30 f2* s'taBI * '
- 73 somg m. a g j-sorpr Eastne r; 'a 14,. 5.3 , 7 i.
' MISSING. WEIGHT RATIO Fx = I- Fz = o. >9 7 4' 1 E p a O.4 S 8 I $ ? 0'-
TOTAL AccELERATioH ar = lG' + (fn EPA Y "
;i I!
EBASCO SERYlCES INCORPORATED
.y 5. P i narx 7 / >=/ PT sneer d)_ or /* I 1 cuno..ta' Il h %Avx SN'l0f 'Eb'22I S$4 it.AAS UTILITIES GENERATING 00.no. OSOb' gc cur =1 COMANCHE PEAK UN!T 2
,,,,,,, CABLE TRAY HANGERS suesner M2M STUDY MODEL I BUILDIN6 '
REA C TOR EL E VA TION 905 25' DAMPING 4 */, OBE SPRING B00 AfDA RY DIRECTION TRANSVERSE ( LA TERA L ) PRE V/00S DESIGN PROCEDURE HANGER FREQUENCY = 17.8 7 HE CA8l& TRA Y FREdu2NCY = 20.1 Hi SYS TEM FRE00 ENC Y = '3. 36 Hi DESIGN @ = 075 (h g) FROM COMPUTER RUN 10. : dol TC48 M RM - - 0. 8 6 8
@ design
agga: - 4 DIRECTl0N:begirvaiMet oeE 9 7 , s7tMQ 8aoNheff , .conpat RM bs ooLUASR l-l I l %'
)
TRAY GUPPORT UPPER ' MIDDLE LOWER g . . N@E WEIGHT AccE. N0DE WEIGHT A ccE. N0DE WEl4HI AccE. N@E NEIGHT AccE. ar n ,, g : 41 ho31 I- l d a os<1
!' 1 a.e39 sh oks nn ]i fI
. . A 48 447f r
?f esd7f ,
8 0.~ e 7 f 30//-
*I/3, 4 3*y
' 'l f
Ng m >- 1 41 e.e7 f - i-i >t o.e77 q a.o7 7 3os 8.aeli ojo) ;p Po;ig,, 5- j?, r,;o=c o m s o -
, ,i
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i, __ to e.o? y - 3o6 .sy a,;7y, i---l Miig. p g v fo .,7f
.. 7f ,
k' 1 9 bi a .31 :-j 3) ,39 l- II o.oy sof ./3 6. fro r -f jhy ,,,,,,, m{ as m-o
- =
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, ~ l' B=%
% 308
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- 3 /f 8.3/f i.61F -+ 0,2, g '
dr '~l , 3of o.o* 1 i l I j~
.I. 'TRMl ' 2 %'di
- zya e,e 73 q., syg -.
8% j l i , RATIO of .! MODAL WEIGHT 70 TOTAL WEIGHT @ eits l:bo] Z, Fz= x ne I
= e.s+b -
g,pp,a7 ,7pc gas,.e 6.ns bI* ' MISSING WEIGHT RATIO Fx = I' F1 = o. us4 sortwti n'.'
- s'
- l - -l t- iI.,*
1 .l 1 s j TOTAL AccE LERAT/0M 01 = 4 G* + % ZPA 1 epa : o. 'I6 8 - 5 . I
EBASCO SERYlCES INCORPORATED
,y s. 7. A gave f/w/6 . , 4J~ ,, / o f enna. erJ W C%Ars llHl0 f EOb'I2l N SAS It.AAS UTILITIES GENERATING 8.no.
cumur CO".^.NCHE PEAK UNlT 2
,, ,,,c, CABLE TRAY HANGERS su sney M2M STuoY M OD'EL / .N . .
BULDING n REA C TOR ele VA T/0N 905.75'
~
DAMPING : 4% OBE SPRIN6 BouMOARY DIREC T/0M : LONG/ TUDINA L PREVIOUS DESIGN PROCEDURE HAN6ER FREQUENC Y = /O.21 HZ CABLE TRA Y FREQUENC Y = 50 00 AZ SYS TEM FREQUENCY = 1021 Hi DESIGN f = I.20 J M FRDM COMPUTER RUN 1D : dol TC 48 MRM- S"* -0%2 hp
n , n[g a SS& ') % , sjYng germMsy, copyomt gm ibs coLV'407 '. 7 l l 5 g, 3Qlp
.5 DIRECTION.: t/uricAL ,
- . TRAY :
' SUPPORT htIDOLE LOWER -
1 UPPER ' 4 A ccE. NOM NEI4HT AccE. MDE NEMT ktE. As k sy WEIGHT N00E WEIGHT AccE. N00E 2 3G qq 6.ar 2#b;8 g e.*3 7 1:t% 1 a.*39 '2172 % e.biy opp 3 C g i
}
1 p y. g ady I.49it d a.77- l. 9 4
. ? 4 79 t.3 % soy a &i.5 e!t6f3' " , - .R 4l8 pr l-l 9l lgl h<
e.ea/ldii'j5 o o;ip 49 e.e77 His v . .Dt ou ro a.7f i .
=: ,: & x. m
'-{-- .'F;;;Q
-* . ;.f. Q oity ok
(?~M \d o.sv9 IA 6'] Y* o.ey7 I.fv q. Q e:.79 . Qb
,$.?e m Q 1
g g
# trb l -
\\ isq M1 w e q~~o
* *13'.
a bly yf3h d - o..s q Ll>t> s*39 Q:x !y SH . .-'h ! .j;' d_ .j L
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' : .: $,g i ,,,p f. O,44:J.
1 r.
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- i . . .
14 g 4' , AF/f i M. #d8f NMf !" h I
. dr 85 /f I dt3/f . ... :
' ;1 ' i . , S g'o p,,f3 a,:q4 I-f.. . -. g
. I 748f i X"8 ' #s'. " 8 R
l1 . i., !
%y ayy o.tQ. . . . . y
. RATIO of.?M00AL WElGHT 70 TOTAL WEIGHT ; l -.
b
} x s* io7sb ='c.fS$ '
- )
f2* ""g I
. 5a/)%#r apel 2.lo ' sE.$/8? .. 4 l}
,j syi Fa. = I- Fs = *.s+7 i !. 4
!] MISSING NEIGHT RATIO 'surtoer zw.'A}* .i l kN
' i ' I' 2 Pfl = 0. 96 L.-
TOTAL $ccELERATIONEy s lG' + (Fx ZPA 1
l EBASCO SERVICES INCORPORATED av d 7 f- oAra 7/"/C m ar 47 or / 8 cuno, avl H
- doats f M / 03 DEQ' gge c~s h. ItxAS UTILITIES GENERATING CE.sno~ Mod cm"' 00 MAN 0liE PEAKJ' N;T 2 (JU
~
mact CABLE TRAY HANGERS su m er M 2M STUDY MODEL :I i . ._. BUILDING t AUXILtARY EL EVA TION t 899 S' DAMPING 7 Yo SSE SPRING BOUNDARY DIPEC Tt0N : VERTIC A L PR E Vt00S DESIEN PROCEDURE HANGER FREQUENCY = 42 93 da CABLE TRAY FRE00ENCY = lo I di SYSTENI FREQUENCY = /0 i HE DES /6N f = !.8CI %0 FROM COMPUTER RUN 10 : DolTC48 M RM = = o.692
$ des;gn (Oe.e M1/S-41
Ce' ce _ m_ t.g g g 3 DIRECTION :sourvatE(tart *st) .Tffou$ 1.oaaeyy, comporat RN Ib 00LYA07 l.'l5ly .
* "Y GUPPORT %:%
UPPER - MIDDLE LOWER ,, 1 MJ N00E WEIGHT AccE. N0DE WEIGHT A ccE. N0DE WEIGHT AccE. IMOE NSGHT ACCE. 01 m gg j 3, a8 i Y q tt \% ] sosy 1 A's se og 02 4 '. y
& o.os9 o.7(8 o.es t - -
A , a5G 8JIf' -
#f 2f id2-) g 8.* 77 1.kl# %*Y" 4/ ao79 8.*7f ,
' gY
% *19 olq% n .. ort o.>A z8 9 *-71
. 1.M 1 <,dr .*i f 0.rty- -
i; p 58 Q' ' m z r- g M j-l Lrl 0 gol o.h ohtfj- _, g> ,gj r-r* o{#7.9 ofbh 4 N*77 IkiltJ 10 8 *77 , f v aQ ' i
'N fA11 %f O!3 d.4l i- - ~
op3f %\ - *.*3 f W O]W g e.ss y 1.l1] g, o gjjg 4 7
. I ,L 2,e f asa./ o,q7;g '.f ,
us,,g l g , 1
**1 (aid i" dg l
..s er a r $F'r ; '
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