pressurizer safety valve discharge piping …developed computer code dags (dynamic analysis of...
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PALO VERDE NUCLEAR GENERATING STATION
UNITS 1, 2 and 3
PRESSURIZER SAFETY VALVE DISCHARGE PIPING
EVALUATION REPORT
January 1983
Prepared by:
CE Power Systems
COMBUSTION ENGINEERING, INC.
Windsor, CT.
~0g070(}>0 83pgg PDQCK pDRA
Abstract
The U.S. Nuclear Regulatory Commission (NRC)., in NUREG 0578 Section 2.1.2and NUREG 0737 Item II.D.l, recommended performance testing of PWR safetyand relief valves. One aspect of this recommended program was to evaluatethe adequacy of safety and relief valve discharge piping and supportsystems and determine piping dynamic feedback effects on valveoperability. At the request of PWR owners, EPRI conducted a test program
for PORVs and Safety Valves. One of the objectives of the safety valve
test program was to obtain data that could be used to benchmark analyticalmethods for calculating discharge piping loads.
Results and verified analytical methods from the EPRI Safety Valve Test
Program were utilized for an evaluation of the safety valve discharge
piping system of Palo Verde Units 1, 2, and 3. This report presents theevaluation which was made in response to the aforementioned NRC
recommendation.
TABLE OF CONTENTS
Secti on Title Page No.
1.0 PURPOSE
2.0 GENERAL APPROACH
2. 1 Hy drau 1 i c Ana 1 ys i s
2.2 Piping Structural Analysis
3.0 PALO VERDE SAFETY VALVE PIPING ARRANGEMENT
3.1 Physical Descriptio'n3.2 Function of System
4.0 APPLICABILITY OF EPRI TEST TO PALO VERDE
SAFETY VALVE PIPING SYSTEM
5.0 EVALUATION OF PALO VERDE SAFETY VALVE
DISCHARGE PIPING
5.1 Hydraulic Forcing Function in Safety Valve
Discharge Piping5.2 Structural Response Analysis of the Safety
Valve Discharge Piping System
5.2.1 Ana lytica 1 Mode 1
5.2,2 Valve Sequence Loading Conditions5.2.3 Loading Combinations and Acceptance Criteria5.2.4 Results of Structural Analysis
11
12
12
13
6.0 SUMMARY AND CONCLUSIONS
7.0 . REFERENCES 25
APPENDICES
Appendix A: Hydraulic Forcing Functions, Case No. 1-Four Valve Simultaneous Actuation
Appendix B: Piping Support Loads, Gapped Analysis:Case No. 1 - Four Valve Simultaneous Actuation
1.0 PURPOSE
The purpose of this analysis is to evaluate the structural adequacy of thepressurizer safety valve discharge piping and support systems during safetyvalve actuation. Piping feedback effects on valve operability are also'determined. Dynamic loadings on the system occur when the safety valves
are actuated.
2.0 GENERAL APPROACH
The general approach used'in generating the hydraulic forces and structuralresponse to safety valve actuation is described in this section. A briefdescription of the computer codes used is also presented. The method ofanalysis is consistent with the methods used in the EPRI Safety Valve Test
program, as described in Reference (5).
2.1 Hydraulic Analysis
Pressurizer safety valve discharge transients present complex fluid-structure interaction problems. The fluid and structural portions of theanalysis can be decoupled,to allow determination of piping hydraulic forceswhich serve as input loadings to the structural analysis. The calculationof fluid-induced piping forces is accomplished using a two-step procedure.The first step is to determine the transient hydraulic state. The
hydraulic data such as pressure (P); density (p), and fluid velocity (v)during the transient are required in order to calculate the hydraulicforces. The geometrical data such as pipe flow area (A), length (L),volume (V), and orientation of the piping are'also required. The second
step is to determine the hydraulic loads by utilizing the transienthydraulic data.
The fluid forces acting on a piping system can be obtained from a momentum
balance. These piping forces have two basic components:
wave force,
and static surface force [I - +P(o =)]Ah4
where n is a unit vector normal to flow area. The computer code
RELAP5( ) was used to calculate the safety valve downstream pipingtransient response, while a post-processor of RELAP5, the REFORC( ) code,was used to calculate the hydraulic force-time history.
The RELAP5 code is a thermal-hydraulic program which solves a set offive conservation equations (2-mass, 2-momentum and 1-ener gy equation)describing the two-phase and two-component fluid. Nonhomogeneity and
thermal nonequilibrium of either phase are accounted for in the code.
The two-fluid formulation and advanced critical flow correlation of RELAP5,
in conjunction with efficient programming techniques and very generalmodeling capabilities provide a tool to evaluate pressure relief system
transients. In using RELAP5, the system is divided into volumes calledcontrol volumes. The flow paths between the. control volumes are calledjunctions. The user identifies the system initial conditions such as
pressure, temperature, and quality in the volumes and the mass flow rate atthe junctions. The code calculates the system transient response
downstream of valves after the initiation of safety valve opening.
REFORC is an interface computer code designed to couple RELAP5 with thestructural analysis code. REFORC post-processes the output from RELAP5,
which is a time history of the flow and state variables, to generate thehydraulic forces at user-specified locations. The output from REFORC can
include either wave or static surface (blowdown) forces or a specifiedcombination of these forces. The output format is compatible with the
input requirement of the DAGS ( ) structural analysis code.
2.2 Piping Structural Analysi s
A time history structural analysis of the Palo Verde pressurizer safetyvalve discharge piping system has been performed to evaluate the structuralintegrity of the discharge system during safety valve actuation. A threedimensional structural model was developed which includes the pressurizer,safety valves, inlet and discharge piping, and. all piping supports. The
method of analysis used is similar to that used in the EPRI/CE Safety and
Relief Valve Test program.
The basic structural model was defined using the STRUDL computer code. The
STRUDL code is a publicly available, well verified code that is widely used
in dynamic piping analyses. The STRUDL code was used to generate the mass
matrix and linear stiffness matrix for the structure. The consistent mass
matrix of the entire structure was reduced by kinematic condensationtechniques to those degrees of freedom which represent the loading and
significant natural frequencies of the piping system. The stiffness matrixwas condensed to the'mass degrees of freedom plus 'support degrees offreedom.
The STRUDL calculated mass and stiffness matrices were then input to the CE
developed computer code DAGS (Dynamic Analysis of Gapped Structures),Reference (3). The DAGS computer code has been verified for the dynamic
analysis of piping systems with non-linear or gapped piping supports. The
STRUDL stiffness matrix was then modified by'the DAGS code to include, theg'apped supports which are present in the Palo Verde discharge system.
The valve actuation forces are hydraulic forcing functions, and were
calculated by the RELAP5 computer code as described in the previous'section. These forcing functions are applied as input loadings for thedynamic structural analysis.
A more detailed description of the structural modeling and analysis ispresented in Section 5. Typical results of the structural analysis are
presented in Appendix B.
3.0 PALO VERDE SAFETY VALVE PIPING ARRANGEMENT
3.1 Physi cal Descri pti on
e
The pressurizer safety valve discharge piping system extends from the
safety valve outlet flange to the quench tank inlet nozzle. The Palo Verde
system has four safety valves which are independently connected to thepressurizer nozzles at the top head of the pressurizer through separate 6-
N
inch schedule 160 lines. The valves are Dresser model 31709NA. This model
has a 6" inlet and 8" outlet. All four valves have the same setpressure,2500 psia. The portion of the piping system upstream of the safety valves
is classified as guality Class I, Seismic Category I and ASME SafetyRelated Class 1 piping. Downstream of the safety valves, the fourdischarge lines continue independently as 8-inch and 10-inch schedule 20
lines in series and join separately with an 18-inch comnon header which
continues to the quench tank. The portion of the piping system downstream
of the safety valves is classified as guality Class IV, Seismic Category V
and non-safety related piping. A schematic of jurisdictional boundaries ofthe Pressurizer Safety Valve Discharge System is shown in Figure 3-1.
3.2 Functi on of System
The function of the safety valves is to provide overpressure protection ofthe Reactor Coolant System. The pressurizer safety valve discharge linesreceive the discharge from the safety valves and provide the flow path tothe quench tank. The Design Basis Events which result in peak pressure
greater than the opening set pressure (2500 psia) for the safety valves
are treated in the FSAR. The valve inlet condition for each of these
events and the sequence of events for each event are presented in Reference
(4). The hi ghest peak pressure among those events was 2587 psia for the
Loss of Feedwater, Inventory event. The greatest pressure ramp rate was 105
psi/sec for the Loss of Condenser Vacuum with Fast Transfer Failure. The
valve inlet fluid was limited to saturated steam in all cases.
8"-sch 20
6"-sch 160
PT A
qQ~c>
g% r
PT BA; OUALITY CLASS I
SEISHIC CATEGORY IASHE CLASS 1 PIPING
PT A
B: QUALITY CLASS IV
SEISHIC CATEGORY IV
SNSI B31.1.0 PIPING
PTB~
FIGURE 3-1
Schematic of JurisdictionBoundaries of Pressurizer Safety Valve
Discharqe System
OUENCH
YANK
4.0 APPLICABILITY OF EPRI TEST TO PALO VERDE SAFETY VALVE PIPING SYSTEM
One of the objectives of the EPRI Safety Valve Test Program was to obtainsufficient piping hydraulic load data to permit verification of computer
codes and methods which may be utilized for plant unique analysis of safetyvalve discharge piping systems. The RELAP5 computer code was selected forthis verification purpose by the Electric Power Research Institute. The
evaluation of the performance of RELAP5 was obtained through comparisons ofcalculated with experimental structural and hydraulic response data.Experimental data from five EPRI safety valve tests were. compared withRELAP5/MOD1 calculations to evaluate 'the capability of the code todetermine the fluid-induced transient loads on downstream piping (see
Reference (5)).
The upstream accumulator fluid condition was steam for four selectedtests and slightly subcool ed liquid for the fifth. The fluid flowtransients through the safety valve included steam only, water only, coldwater from the loop seal followed by steam and hot water from.the loop seal
followed by steam. The calculated results for both discharge pipepressures and support loads compared well with measured test data. Results
of the calculations were reported in detail in Reference (5).. The
conclusion of the study is that RELAP5 is applicable for safety valve
discharge forcing function calculations.
5.0 EVALUATION OF PALO VERDE SAFETY VALVE DISCHARGE PIPING
The hydraulic load forcing functions which are applied as input loads forthe piping structural analysis were obtained from RELAP5/REFORC. The
approach made in generating these forcing functions is described in Section
5.1. The structural analysis is presented in Section 5.2.
5.1 Hydraulic Forcing Function in Safety Valve Discharge Piping
The Palo Verde safety valve discharge piping system was modeled with 142
control volumes linked together by 143 junctions. Figure 3-1 shows the
overall system configuration between the pressurizer and the discharge pipe
exit. Figure 5-1 shows the corresponding RELAPS model between the safetyvalve and the pipe exit. Four control volumes were independently used torepresent the pressurizer upstream condition for the four safety valves.One hundred thirty seven control volumes were used to represent the safetyvalve downstream piping.
Two parametric studies were conducted to determine the sensitivities ofcalculated piping segment load to the computing time step size and thenumber of control volumes which comprise the segment. The major criterionfor selection of the maximum time step size is that no wave front may
traverse the length of a control volume in one time step. A time stepsize of .00025 seconds was found to be adequate since the use of otherselected smaller RELAP5 time step sizes did not significantly affect thecalculated results. Two RELAP5 models, consisting of 142 and 186 controlvolumes to represent the discharge piping system, were used to conduct a
hydraulic nodalization study. Results from the two models were in closeagreement. Based upon these comparisons, the 142-volume model was
determined to adequately predict both the shape and the magnitude of the
forcing functions.
The following conditions were used in calculating the forcing functions:
1) The initial condition of the pressurizer including piping upstream ofthe safety valve was assumed to be saturated steam at 2600 psia. The
highest peak pressure among the design basis events is 2587 psia.This pressure of 2600 psia was held constant during the transientca l cu1 ati on.
2) The EPRI test recorded steam flow rate for the 31709NA valve is630,000 lb/hr at the valve inlet pressure of 2600 psia. This flowratewas used in the RELAP5 ca 1 culati ons.
3) The discharge piping initial condition was assumed to be air at 100'F
and 14.7 psia with a relative humidity of 80 percent.
4) The magnitude of dynamic hydraulic loads developed in a safety valvedischarge piping system depends on the valve operatingcharacteri sti cs. A ramp opening time of 12 msec was used in this
'nalysis. This, opening time, which was recorded in Test 603 of theEPRI program, was the fastest valve opening time among the testresults for the Dresser 6 x 8 valve. Valve opening times are reportedin Reference (7).
A total of six different valve opening sequence cases were'un using the142-volume RELAP5 model. These cases were selected as representative ofpossible valve actuation sequencing for consideration in the pipinganalysis. Four cases listed below were used for the structural response
ana.lysi s
Case 1) All four safety valves were actuated simultaneously.
Case 2) Two valves (Valves Nos. 1 and 2 in Figure 5-1) were opened
first. When these valves were full open at 12 msec, the othertwo valves were opened simultaneously.
Case 3) Two valves (Valves Nos. 1 and 2) were opened first, and the othertwo valves were opened simultaneously after 50 msec.
Case 4) Two valves (Valves Nos. 1 and 2) were opened first, and the othertwo valves were opened after 100 msec.
The other two cases listed below were not processed through the structuralanalysis because 'review of the results indicated they were not design
limiting when compared to the four force cases mentioned above.
Case 5) One valve (valve No. 1) was opened first, and the other three
valves were opened after 12 msec.
Case 6) Three valves (valve Nos. 1, 2 and 3) were opened first, and the
other valve was opened after 12 msec.
Figures A-1 to A-31 show the time histories of the dynamic hydraulicforcing functions for the case of four valves opening simultaneously at thesame pipe force segments as specified in Figure 5-1. The direction ofdeveloped pipe force is coaxial with a straight pipe segment. The force ispositive when directed toward the pressurizer. For the collinearly joinedpipe segments, a net summation force is given instead of forces developedin each pipe segment. The forces presented in Appendix A, Figures A-1.to A-30 are the wave forces and the force in Figure A-31 is the thrust force,i.e., the sum of wave and blowdown force.
. 'oX"
o+J(
5/QH0 4
o++r
P/p
8O+
ib~O +
yb0+
S/quo. L
dg
ID4
4
+D
00
ATMOSPHERE
4Og
~OJ ~ +8
4
4~4 O0
5/g QO. 200 f
Fu 5/pl0.2
gd f
. p x,
/Og
/0b
0
"00/ /d~
oJ(
0+
4>
n
k
FIGURE 5-1. RELAP5/MOD1Noda1ization Diagram ofPa1o Verde Safety Va'tveDownstream Piping System
10
5.2 Structural Response Analysis of Safety Valve Discharge Piping System
5.2.1 Analyti ca 1 Model
A computer, plot of the Palo Verde discharge piping system is shown on
Figure 5.2. This model includes the pressurizer, the four primary safetyvalves, the inlet piping for each valve, and the discharge system. The
discharge piping consists of 8 inch piping which expands shortly after each
safety valve discharge flange to a 10 inch line. The 10 inch piping feeds
into the main 18 inch discharge piping header which is, in turn, connected
to a quench tank. A simplified schematic is presented in Figure 3-1.
Piping schematics in Figures 5-3 to 5-8 describe the structural model and
support locations. The locations of hydraulic forcing function applicationare described in Figure 5-9.
The effect of gapped supports has been considered in the dynamic analysis.For each loading condition considered, a dynamic structural analysis has
been performed both with and without gaps. A standard linear analysis was
performed. for the zero gap analysis. In the gapped analysis, the gaps arelocated on a best estimate basis considering the effects of dead weight and
thermal expansion on the piping system. Where deadweight and thermal
expansion tend to move the piping through a gap, the gap is assumed closedand preloaded in that di rection, and fully open in the opposite di recti on.
Gaps sizes are determined from detailed support drawings where possible.Otherwise, the gaps are estimated as follows:
Su ort T e Ga Clearance
Snubbers
Pipe Clamps
Frames or Stops
All Others
+ 1/32+ 1/16+ 1/16
0
When a support is comprised of several of these components, the gaps are
combi ned.
5.2.2 Val ve Sequence Loading Conditions
The hydraulic forcing functions during valve discharge have been analyzedfor four hypothetical valve actuation sequences. These forcing functionsare determined from the RELAP5 hydraulic analyses, as previouslydescribed. The four valve actuation sequences considered in the structuralanalysis are:
2.
3.
4,
All four safety valves opening simultaneously.Two valves open simultaneously, the remaining two valves
open 12 milliseconds later.Two valves open simultaneously, the remaining two valves
open 50 milliseconds later.Two valves open simultaneously, the remaining two valves
open 100 milliseconds later.
Other valve actuation sequences were analyzed hydraulically, and the
forcing functions for 511 cases were judged to be enveloped by these fourcases for the structural analysis. As previously stated, each loadingcondition was analyzed for a linear, zero gap system and as a gapped system
for a total of eight dynamic structural analyses.
5.2.3 Loading Combinations and Acceptance Criteria
For discharge piping, the actuation of a pressurizer safety valve isconsidered an ASME Level C (emergency) event. This catagorization ofsafety valve discharge is in accordance with the recommended guidelinesof the EPRI Safety and Relief Valve Piping Subcommittee (Reference 6), and
is based on the extremely low probability of actual safety valve
actuation. The valve actuation loads are combined with sustained normal
operating loads which include dead weight and operating pressure.
The applicable design code for the discharge piping is ANSI 831.1.
Equation 12 in ANSI 831.1 is applied to calculate membrane plus bending
piping stress. The allowable-stress for the piping is 1.8 Sh. This
value is 50/ higher than the normal stress limit of 1.2 Sh, and isin agreement with the Level C criteria of the ASME code.
12
The bending moment acting on the safety valve discharge flange due topiping feedback effects is calculated for all four safety valves for each
of the eight structural analysis cases previously described. The peak
value of bending moment is compared to the as-tested bending moment in theEPRI test program.
Piping support reacti ons are obtained by combi ning the valve actuationloads with normal operation loads. These include dead weight and thermal
expansion. The calculated peak loads for each support are compared to the
support load rating.
5.2.4 Results of Structural Analysis
All calculated stresses in the discharge piping system satisfy the 1.8
Sh allowable stress criteria of ANSI B31.1.
The maximum calculated bending moment on any safety valve discharge-flangeis 117,200 inch-lbs. This is much less than the EPRI/CE as-tested value of473,000 inch-lbs for the same model valve, as reported in Reference {7).
Figures B-1 through B-48 represent piping support reactions for the fourvalve simultaneous actuation load case. These reactions include theeffects of gapped supports. A listing of calculated maximum support loads
lis presented in Table 5-1. These maximum values represent the maximum loadat each'upport from all load cases analyzed.
SC
'3 ' ~ 01
05SLOv 6fjgS;0„.60'S I I
30~
30-3
413
SI) )
$ 16'%
S'11611LS
23 26 3
2356 3
239
I31
31
36
I!0
420233421
2330
225
22S
1322
251
22
21S
!IO>A~LO COQIIOINII'll.'f6<EIIFE~ 0.0 Sf= 144 ~ 502= 34.9
213
210
20
id820S
Oggh
Q'h
FIGURE 5-2
P - PRESSUR/ZER SAFETY YALVE 01SCHFIRGE PIPINO
201
20
19,21
17
16,18
X.
13
15
12 14
Support1
23456789
101112131415161718192021
Type„ STP
SNBSPRSTRSTRSNBSTRSPRSPRSNBSTPSNBSNB
'STRSNBSTPSTP'TP
'STP
.STPSTP
DirectionX
Y
Y
ZX
Y
ZY
YZX
YX
ZY
XY
ZXY
Z
10
9
Reactor Drain Tank
fIGURE 5-3Line 002 - 18 Inch Header
~ Gapped Support Joints
Pres ur izer
26
00 900
270o23
24
180o28
29
Support
2223242526272829
Type
STPSTPSNBSTPSNB
SNBSNB
SNB
Direction
FIGURE 5-4
SV1 - Line 004 - 10 Inch Discharge Pipe
~ Gapped Support Joints
Pressurizer
00 90o
270o 180o40,41
43
44
Support Type Direction40 STP X41 STP Z42 SNB Y43 STR X44 SNB Z
~ Gapped Support Joints
FIGURE 5-5
SV2 - Line 103 - 10 Inch Discharge Pipe
00goo
30
31,32
270
Pressurizer
180o
33
34
Support
3031323334
Type
SNBSTPSTPSNBSNB
Direction
0 FIGURE 5-6
SV3 - Line 006 - 10 Inch Discharge PipeP
Gapped Support Joints
35,36
00
90o
270 180o
Pressurizer
37
38,39
Support
3536373839
Type
STPSTPSNBSTPSTP
Direction
~ Gapped Support Joints
FIGURE 5-7
SV4 - Line 008 - 10 Inch Discharge Pipe
0090o
45270
180o
47,17
20,48
Support454617474820
Type
KEYKEYKEYKEYKEYKEY
DirectionZX
Y
ZX
Y
Pressurizer Keys~ Gapped Support Joints
FIGURE 5-8
PRESSURIZER
20
Point A
7)
I2 j3$
35)
32
i4 +Point B
Point A
W7
j—P01nt B
ll
FIGURE 5-9
Applied Loads From Hydraulic Analysis
'71
Table 5-1
Summary of Support Loads
(2) Valve Act. Valve Act. plus(3)Line Support iso. Direct. Type Only (lbs) N.O. loads (lbs)
Moment in Pipe (4)at
Support(in-1 bs )
17 27818 27819 27835 27A36 27433 . 27B34 27C32 26C31 '6929 69A30 69B28 26826 26727 26725 26A23 44
21 101
X
Y
Y
Z
X
Y
ZY
Y
ZX
Y
X
ZY
X
Y
ZX
Y
Z
STPSNBSPR
STRSTRSNBSTRSPRSPRSNBSTPSNBSNBSTRSNB
STPSTPSTPSTPSTPSTP
219377898
018334
546832082
546300
76062465810081
935910247
823210063
53512296284048021
12490
11007 267049623 7898
18 015167 2113811962 546823008 32082
8890 546351 043 0
8328 760631948 26183
8768 1008110647 935923707 10247
9785 82325203 14390
12433 535118804 2436315120 840413048 8021
9448 16815
1100796231134
151671321923008
9628376916308328
319488768
1064726242
97855203
15921188042307114982
9448
194,000
364,000307,000261,000217,000217,000177,000191,000184,000269,000
360,000266,000
777,000
335,000
16 58A
15 5818 56B14 5612 5311 51A17 51
X
ZY
X
ZY
ZX
STPSTPSNB
STPSNB
SNB
SNB
SNB
6616 145035894 05034 57159319 135489905 69119666 101895673 64288657 9182
66168990503493199905966656738657
146060
571513981
691110189
64289182
108,00076,000
158,00082,00093,000
114,000149,000
22
TABLE 5-1 (continued)
Suama ry of Support Loa ds
Valve Act. Valve Act. plusLine Support iso. Direct. Type Only (lbs) N.O. loads (lbs)
Moment in Pipeat
Support(in-1bs )
13 16815 169
12 66A'1
166
Y
X
ZZ
X'SNB6201 2941 6201 2941
STP 34798 41578 36892 41578STP 10215 3406 14479 3406SNB 3559 4747 3559 '747SNB 4202 3558 4202 3558
89,000154,000
113,000109,000
14 24A
12 234ll 225
STP 3933 10082 3933 13798STP 28471 5623 32446 5623SNB 14542 8091 14542 8091STP 16812 8288 17714 8288STP 970 6036 970 7275
234,000
193,000147,000
103 11 30
12 3114 3415 34A
STP 563 0 5057 0STP 2999 9576 2999 10195SNB 5787 5196 5787 . 5196STR 5526 7445 5526 8628SNB 3231 3445 3231 3445
67,000
125,000204,000195,000
Pzr.Keys
0090o180'70'ey
3517 3738 3517 3738Key 3283 3201 3283 3201Key 2661 2792 2661 '2792Key 2332 2084 2332 2084
N/AN/AN/AN/A
1. Directions as shown on Bechtel drawings: North is in the minus X direction.
2. Type: STP - stopSNB - snubberSTR - strutSPR - spring
3. Loads are imposed on the supports by the piping system.
4. Moments list'ed're due to valve actuation only.
23
6.0 SUMMARY AND CONCLUSIONS
The Palo Verde pressurizer safety valve discharge piping system has been
evaluated with respect to safety valve actuation. The hydraulic pipingforces generated upon valve actuation have been calculated by the RELAP5
computer code, which was benchmarked for this application in the EPRI
Safety and Relief Valve Test Program. These hydraulic forces were appliedas input loadings to a dynamic structural analysis of the discharge pipingsystem. The structural analysis was performed with the STRUDL and DAGS
computer codes, and included the effects of gapped supports on the dynami c
response characteristics of the discharge system.
The results of this analysis indicates that the feedback effects of the
piping system will not adversely affect valve performance. The calculatedpiping imposed loading on the safety valves are below those loadings testedin the EPRI program and under which the valves operated satisfactorily.
The calculated piping stresses due to valve actuation plus normal operatingloads are within the allowable stress levels of the applicable codes.
The loads at each support location have been determined and are listed inTable 5-1. These support loads have been evaluated and are within the load
capability of the appropriate support system.
24
7.0 REFERENCES
1. RELAP5/MOD1 Code Manual, NUREG/CR-1826, EG86, Idaho, March, 1982.
2. REFORC, A Computer Program for Calculating Fluid Forces Based on
RELAP5 Results, EDS Report No. 01-0650-1194, February,'982.
3. "Dynamic Analysis of Piecewise Linear Structures", J.S. Lien, R. P.
Kassawara, H.B. Smith, Combustion Engineering, presented at ASCE
Second Specialty Confe'rence on Structural Design of Nuclear PowerPl ant Faci lities, December, 1975.
4. EPRI Report NP-2318-LD, "Valve Inlet Fluid Conditions for PressurizerSafety and Relief Valves in Combustion Engineeping Designed Plants,"Apri 1, 1982.
5. "EPRI Report NP-2479-LD, "Application of RELAP5/MODl for Calculation ofSafety and Relief Valve Discharge Piping Hydrodynamic Loads,"Intermountain Technol ogi es, 'Inc., March 1982.
6. EPRI Letter to Utility Contacts - Piping Subcommittee members, datedNovember 5, 1981.
7. EPRI Report NP-2628-LD "Safety and Relief Valve Test Report",September, 1982.
25
APPENDIX A
HYDRAULIC FORCING FUNCTIONS
Case Number One: Four Valve Simultaneous Actuation
F I GORE 0-1RR I KONR S/V SISCHRRGE PIPING ANALYSIS
PIPING FORCE NO 1 ( 142 NODE-NOOEL .DT= 2SHS)
4.0000
3.0000
2 0000
1 0000
0 0000
-1.0000
T IM . CONGS
F IGURFARIZONA S/V DISCHARGE PIPING ANALYSIS
PIPING FORCE N0.2 ( 142 NODE-MODEL DT=.25MSJ
7.0000
6.0000
5.0000
4.0000
3 0000UJ
2 0000
i.0000
0 0000
0000
'INE.SECONOS
F IGURE A-3ARIZONA S/V DISCHARGE PIPING ANALYSIS
PIPING FORCE NO 3 (142 NODE-MODEL,DT= 2bNS)
6.0000
5.0000
4 0000
M 3,0000
2 0000
1 0000
0.0000
—1 0000
T SECONOS
F I 0 A I)ARIZONA 5/V 0 I SCHARGE P.IP ING ANALYSI 5
PIPING FORCE NO. 4 =- ( 142 NODE-MODEL DT=.2BHS )
3.0002
2.5002
2 0001
1 .5001
1.0000LLJ
.5000
0.0000
5000
—1 0000
TltiE,SECONDS
F I GURE 0-5 ~
ARIZONA 5/V DISCHARGE PIPING ANALYSI5P IP ING FORCE NO ~ 5 ( 142 NODE-HODEL ~ DT= ~ ZSNS )
6.0000
5.0000
4.0000
3.. 0000
LLI
2 0000
1.0000
0 0000
—I 0000
Tl 'ECO GS
F I GU -6RR I 70NA 5/~J 0 I 5CHARGE PIPING ANALY5I 5
P IP ING FORCE N0.6 ( 142 NODE-MODEL, DT= . 2bMS )
5 0000
4.0000
3 0000
2 0000
1 0000
0 0000
—1 0000
~T NE SECONOS
F I GURE A-7ARIZONA S/V D I SCHARGE PIPING ANALYSI S
P IP ING FORCE N0.7 ( 142 NOOE-MODEL. DT= ~ 25MS)
2 0001
1.5001
1.0000
.5000
0 0000
— .5000
-1 0000
TI ECONOS
F IGU A-8ARIZONA 5/V D.I SCHARGE PIPING RNALYS I 5
P I P! NG FORCE NO. 8 ( 142 NODE-MODEL DT=.25HS)
6 0000
5.0000
4.0000
M0
EIJ
3.0000
2.0000C)
1 0000
0.0000
—1.0000
TIME SECONDS
. F, I GURE A-9,'ARIZONA S/V DISCHARGE PIPING ANALYSIS
PIP ING FORCE NO 9 ( 142 NODE-HOOEL DT=.25MS)
3.0002
2.5002
2.0001
1 5001
1 0000LLI
5000
0.0000
5000
-1 0000
TI E'CONOS
F I G: A-10RR I ZONA S/V D I SCMRRGE P.t P I NG RNAL YS I 5
P IP ING FORCE NO 10 ( 142 NODE-MODEL DT=.2SHS)
7.0000
6.0000
5 0000
4 0000
3.0000
I 2 0000
1 0000
0.0000
—1.0000
TIME SECONGS
F I GURE A:jj.ARIZONA S/V DISCHARGE PIPING ANALYSI S
PIPING FORCE NO l 1 ( 142 NODE-HODEL DDT= ~ 2585)
4.0000
3 0000
2.0000
OJ
o 1.0000
0 0000
-1.0000
T SECONOS
F I GUR A-12ARIZONA S/V DISCHARGE PIPING ANALYSIS
P IPING FORCE NO. l2 ( 142 NODE'-NOOEL OT= . 25NS )
4 0000
3.0000
2 0000
6) 1 0000
0 0000
—1 0000
TlNE.SFCONGS
F I GURE A-0ARIZONA. S/V DISCHARGE P IPING ANALYSIS
PIPING FORCE NO l3 (142 NODE-MODEL. O'T=.25MS l
5.0000
4 0000
3 0000
2.0000LIJ
1 0000
0.0000
-1 0000
Tlt1 CONOS
F! GU '-14ARIZONA S/V DISCHARGE PIPING ANALYSIS
PIPING FORCE NO 14 ( 142 NODE-NOOEL. OT= 2SHS j
0
7 0000
6.0000
5.0000
4 .0000
3.0000
2 0000
1.0000
0.0000
—1 0000 'INE
SECONGS
FIGURE A-15AR I KONFI S/V OI SCHARGE P IP ING ANALYSI 5
PIPING FORCE NO IS (142 NODE-MODEL DT= 2SNS)
4.0000
3.0000
2 0000
LLI
o 1 0000
0 0000
—1 0000
I ECO OS
F I GURE A-16AR I ZONA 5/V DISCHARGE PIPING ANALYSIS
PIPING FORCE NO l6 ( 1<2 NODE-MODEL DT=.2bNS)
6.0000
5.0000
4.0000
3.0000
ELI
2 0000CI
1.0000
0.0000
-1.0000
TINE SECONOS
FIGURE A-17ARIZONA 5/V OlSCHARGE P IP ING ANALYSIS
PIPING FORCE ND 17 ( 142 NOOE-HOOEL. OT= 2SHS)
4.0000
3.0000
2 0000
o 1 0000.
0.0000
—1 .0000
T SECONOS
F I GUR -18AR I ZONA 5/V DISCHARGE P'I P I NG ANALYSIS
P tP lNG FORCE NO 18 ( 142 NODE-MODEL DT= 25MS)
4.0000
3.0000
(A(L
ILJLJ
2.0000
c3 1 . 0000
0.0000
—1.0000
TINE SECONOS
F I GURE A-19ARIZONA S/V DISCHARGE PIPING ANALYSIS
P IP ING FORCE NO 19 (1<2 NOOE MOOEL OT=.25MS)
5 0000
4 0000
3 0000
2.0000LJJ
1 0000
0 0000
—1 0000
SECONOS
F I GUR A-2Q'RIZONA5/V 0 I SCHARGE P.IP ING ANALYSI 5
P IP ING FORCE NO 20 ( 142 NODE NOOEL DT=.2SNS)
4.0000
3 0000
2.0000
UJ
63 1 . 0000
0 0000
—1.0000
T I t1E . SECONOS
F I GURE A-2j.RR I ZONR 5/V DISCHRRDE P IP ING RNRLYS I 5
P JP ING FORCE NO 21 f 142 NODE MODEL. OT= 25MS )
4 0000
3.0000
2 0000
o 1.0000
0.0000
-1.0000
T SECONDS
F I GU -22ARIZONA S/V DISCHARGE PIPING RNALYS I 5
PIP ING FORCE N0.22 f 142 NODE MODEL DT= 25HS)
7.0000
6.0000
5.0000
4.0000
3.0000UJ
I 2 0000
1 0000
0.0000
—1 0000
TINE 5ECONOS
F I GURE A-23AR I ZONA 5/V OI SCViARGE PIPING ANALYS 1-5
PIPING FORCE NO.23 (142 NODE MODEL,DT=. 25MS)
4.0000
3.0000
2.0000P
LLI
o 1 0000
0.0000
—1 .0000
ECONOS
FIGURE A-24ARIZONA S/V DISCHARGE P.I P I NG ANALYSIS
PIPING FORCE NO.24 (142 NODE MODEL DT=.2bMS)
20 000
15 000
10.000
5 000LLI
0.000 kluV)i~p,
-5.000
—10.000
T 1ME SECOt'JDS
F I GURE 4-25ARIZONA S/V DISCHARGE PIPING ANALYSI,S
P IP ING FORCE NO ~ 25 ( 142 NODE-f10DEL. DT= 25MS)
20.000
15 000
10 000
5.000LLJ
0.000
-5 000
—10.000
seep~as
F I G E A-26ARIZONA 5/V DI5CHARGE: PIPING ANALYSIS
P lP ING FORCE NO ~ 26 ( 142 NODE-.HODEL. DT=-. 2bNS )
10.000
8.000
6.000
000
2 000
~ 0.000
-2 000
NE SECONDS
F I GURF A-27ARIZONA 5/V DISCHARGE PIPING ANAL,Y515
PIPING FORCE NO 27 ( 142 NODE-t1ODEL. DT= ~ 2SHS )
20.000
18 000
16.000
14.000
12 000
10.000
8.000
6.000
4.000
2 000
0.000 ooooo
oooooCU
,SEC NOS
oooooo
F I GUR -28ARIZONA 5/V OISCHARGE PIPING ANALYSIS
P IP ING FORCE NO ~ 28 ( 142 NOOE-MOOEL.OT=. ZbMS )
20.000
16 000
10 000
5 000LLI
0.000
-5 000
—10 000
TIME. SECONDS
FIGURE A-29ARIZONA 5/V DI SCMARGE P. IP ING ANALYSIS
PIPING FORCE NO.29 ( 1.42 NODE-MODEL. DT= ~ 2SHS)
20.000
15 000
10.000
5 000LLI
0.000
-S 000
—10 000
T SECONOS
F IGURARIZONA S/V DISCHARGE PIPING ANRLYS!5
P IP ING FORCE NO.30 ( 142 NODE-MODEL..DT= 25HS)
20 000
15 000
10 '000
5.000
0.000
-5.000
—10 000
T I ME . SECO OS
F I GURE A-31RR I ZONA S/V 5 I SCHRRGE PIPING RNRLYSI 5
P IP ING FORCE NO.31 (142 NODE-MODEL .DT=.25MS)
40 000
30.000
20 000
LLI
c3 10 000
0 000
APPENDIX 8
PIPING SUPPORT LOADS, GAPPED ANALYSIS
Case Number One: Four Yalve Simultaneous Actuation
";. 1. 999
l'3 9'30-
l 4 '.390
9 997 -.
4.997-
—-002-C3
) inC)
—Ib ~ OQ~I
-~0 00'-
-2f) . 001
-30 000-
i)JU„- —, .0O..C)" -ln,nn,'
(J
(:)'n('J
C)C)rn
(3in
C)C)
T [MF. ( SF.CONGS )
FORCE IH GAGS GAP NUMBER 1
f-Al 0 '.RDf: PER O'J DISCARD('E PtPrHG SUPP T LOADS f 8/QAi'j — 0 VALVFS StMULT NFOUS
"'3 .'3'39-
2 4 ~ !39'3
1'3. 998
1k '98I
'3.997-(i I
4.997-
— .0O2-laJ
-t) .002n
—!0 002
- 1,'i ~ 002
-20.001.
-,,'OOlL
-3n.non~
C3:nC3
nC3c'>
nC'J
C)C)
TIME ( SECONDS )
FORCE IN DAGS GRP NUHBF.R 2"ALO VER[lF PER SV 015CHtlRGE P! P ING SUPPCPT L OAOS ! H/GAP 1
— 4 VALVES 5 IMULTANFOUS
'3 '3'3" -.
a d.997-
002»J
a=- f) ~ 002-
nIl -10 002
-1 l) ~ 002-
-."0 001
-2b 001
-ln,OOO
n n nai')
nU)AJ
C)C3
C).inCf)
nn
T I ME ( SF.CONDS )
FORCF IH DACS GAI'UMBER 3I-BIO;1;RDf.. ZR 51 DISCIJRRCI-: PtPING SUPP RT LOADS (8/GAP) - 0 VAL.iJFS SIMUI~ ~ i'IFOUS
2'.3 . '3'3'3-
:? -) 9!3'3-
'3 . 9'30 .
. l 4 .9'.30-
9.937
!3'37--
- -002
(„- -t) ~ 002(.")
— l 0 002-
1r) 00~
-20 Apl
') 00 l..
-3C 000
C)li)(:)
nC)
C)C)
T IMF. ( Sf:CONOS )
FORCF. IN BAGS) GAP NIJNQFR 4 xgxg)(agate(y(PAl,p VFRnr: PZB SV OISCHRRGF. PIPING SUPPCRl LOAOS fWtGAP) — 4 VAI..VFS SIVUI.TANFouS
2'3 . 3!3'3
I 3. $ 90
14.99
9.997-
1 ~ '397 -I-
— ~ 002-
'-I fi ~ 00
-20 001
-2t) ~ 001
-~o,oool
T I l1E ( SECONDS )
FORCF. IN DAGq GAP NUBBER 5 xxxxwxxwmxPAI n VERI3f'lR 5 J 0 I SCHRRGE P IP I NG SUPPORT t OADS f 8/GRP ) - 0 YAI YFS 5 IMULTAREOUS-
.')0 000
20 000-
10 000
0.000-(..)
- I 0 ~ ()00
nL)C)
nC'J
nnIY)
(3n
-20 000-
-30 000
-40 ~ 000-
-hO.OOO~
T I NF ( Sf'.CONDS )
wxxx~xxxxx FORCF lf'J DRGS GAP l'JUNBER6'HI
0 VFROf-. PER SV DISCHARGE P IP 'NG SUPPORT I. OADS < 8/GA" ) — 4 VALVES 5It1ULTA><FOUS
Y
"9.999-
21. 999
I'.l. 99A
14.998-
9.997
-1 . 997
(.3ln
~ . I
(3in in
('j(.3
~ '
inC3C3
- ') 00"-
-20.00 1-
-."b 001
T IHF ( SFCONGS )
wxxxx33ixxw33( FOPCF IN DRCS GRP NiJHOFR 7f Al JFRI)f PZR
'0 I SCHRRGF. P < P >NG 513PPC'RT l. ORBS < 8/GRP ) — 0 VRLVFS S IHUI.TAi'>F005
1'3 ~ 998-
1 0 ~ !398
9 -997
1. 397
0 0 ')
-', .no."-D
-1 0 002
—1 b no p.
-20 .001
-Zfi ~ 00 1-
-an,npo
n
TIVE (SF.CohJOS 1
FORCF. IN BROS ORP NUNBE R 0r~l'n;IFRIlf: pzp s,i DlscHleGF. ptt <NO suppoRT L0Ros fw/0Rpi - ~ vRLvEs sINlll TR~JFous
(i I
QI
Y
9 ~ 9'37
~i ~ '3'37-
— -002-l&
-!) ~ 002n
—l0 002
—l ') 00>
-ZO OO I.
-Rf) ~ 00 l.-
-~0.0OOL
C)iAC)
C)n C>n C)~J)CU
C)C)rn
T I NF ( SF.CONDS )
FORCF. IN BAGS GAP ljuHBFR 9PAL 0 V. RBF: PZR SV 0 I SCHARGF: P I P I WG SLIP!'ART L OADS < II/GA~ ) — 0 VAL.VFS S INULTA"!FOU5
, n.O00
-;o.ono-
30 . 000
20 000
!0.000~ ~
0 000-
-10 000
-20.OOO"
C
C3n(U
QLACU
nnrn
n
-30 000
-~o.oonL
-l)0 Ooo
T I (ATE ( Sf.CONDS )
FORCF. !N DRGS GR" NUNOF.R llPRl 0 "F:f'.Of". P '.8 SV I' SCH I'~GF. P >P ING SUPPORT I. ORDS < 8/GRP ) — 4 VRI VES 5 I JUL.TRRFOUS
3 - '3'3Q-
c3 l3 (3t
1'3 - '390
1 0 ~ !3!3R
9 ~ 99".
~i ~ !397-I ~
—.002LJJ
0- -l) 002CDll -10 002-
1 h ~ 00
-~000'2',)
~ 001
-30 000
C)4')C3
C3C)
C3LO
C
C)C)
T I MF. ( SF.CONDS )
wwwwwwwwww FORCF. : IN GAGS) GAP NUMBFR 12 wwwwwwwwwwPRLO "FPOf-'. PER SV l)ISCHRRGF. PIPING SUPPORT lORDS (N/GAP) — 0 VRl VFS SIMi TRRFOUS
29.999
21 ~ 999-
19-990.
14 .990
9 997(A
0 .997
PPAUJ
—l) 002n
-10 . 002
—1 F) ~ 002-
-20 001
-2f) ~ 00 IT
..30 ~ 000I
LACD
CDiA
~ nnC'J
CDLI)CU
CDC)rn
T I MF. ( SFCONDS )
xx~xxxxxxx FORCF. IN OAGS GAP NUMBER 13PBI 0 VERDE P/R,') V 0 I SCHRRGF. P IP t NG SUPPORT L.GROS (8/GAP ) — 0 VRLYFS 5 IMUl.TIIREOUS
20 999
!9 990
14 990
9-997-
1 997
— .OOZuJ
t)-'5) ~ 002-Ola -10 002-
—1 5 00"-
-20 001-
-2f) 001
-~0,000~
TIMF. I S<CONOS 1
x~~x FORCE IN GAGS GRP NUMBER llVFR[lf'. PER li'J OISCllARGE P IP ING 5UPPORT L OAOS < 8/GO~1 - 0 VAI.VF5 5IMULTA>NEGUS
uJ
rxnli
1 '9'37
-00~-
.noz-
0 002
—1 fi ~ 002
-,":n.oo i>
-"'f) ~ no 1+
-~n. 000
C)iaD
C)nO'J
C.
iDCU
C)C)
C)n
T I MF. r SF.COrJOS1
~xxxww~~x~ FORCF ItJ OAOS GAP NUMOFR Ib x~x~~wx~~wPAL 0 ".FPOf; P/R SV 0 ISCH lRGF. P <P INC SUPPCR L OADS < 8/GA~ ) - I VALVFS SIMULTA"JFOUS
29.99
2 l .999-
l 9 9'30
!4 99
9. 997(i)a- 4.997-
002iU
-!) 002C:)
-10 ~ 002-
-lb 00
-20 001
b 001+
-30,0001-
n~J)
AnCU
4
nlACU
nnCf)
nn
T I HF. ( Sf: CONDS )
FOf)CF I N DRGS GAP NdNflF.R 16PAI 0 '/FR[1f: PER SV 0l SCHWA!<GF P IP ING SUPPORT L,OADS < 8/QFlp ) - 0 VRLVFS 5 IMULTFINFOUS
!3!39
19-990
! 4 9.'38-
9 997-<na q .9'j7-
002-Ic.j
-! .002-C)
-!0 002
—13) ~ 002-
-20 001
-2.>.001
-30 00
C3C)
(3n
T ICE ( SF.CONDS 1
FORCE IN DAGS GAP Ndt1BER 17PA10 'JFRDE PER SV 0 I SCHARGF. PIP ING SuPPORT L.OAOS (8/GAP ) — I VALVES -S INlJLTA~jEOlJS
2'3 999
P1 999
19 9!30
1< 990
9 ~ 997
'1 ~ 997
lL3 ~
Q~ i) ~004.n
-10 002
-lb 002-I
-20.001-
-2!) F 001
-30 000
nlAn
nnC'J
4
nlACd
nnrn
Cnn
T I NF. ( 5F.CONDS )
FORCE IN DRGS GAP NUt1DEg ]8 xxxwggg)gggPALO YFPOF. PER SY I3ISCHABGE PJP ING SUPPORT LOAD5 f W/GAP ) — 0 YAl YES SINFUL.TANFOUS-
(ACLI ~ 4
Y
2'3 . '39'3 .
. 1 '3'3!3t-
19.990
11 ~ 990-
9 997-
1 997
-.002-LLJ
-!) 002-DIL
—10 ~ 00'.
-lb 002-
-20 001
—,", .001-
-30- 00
T I t1F. ( SF.COMBS )
~~~~x~~~x~ FORCF. IN DOGS CAP NUMBER 19PA1 0 "F!';[)f PLR SV 0 I SfllR'(GE P IP I NO SUPPORT I. OAI35 ( 8/CA~ ) .
- 0 VAL.VFS 5 IHULTANFOUS
2 l 9!3'3
1'3 '3'30
1 I 99
'3 !397
(p i".'.397-
~ ~
~r QO>itj
-t) ~ 002-c;)
-10 ~ 002-
-1 f) ~ 002
— '0 001
-2!) . 00!J.
--an,oOO<
C
C)
C
CDCD
T IHF. ( SECONDS )
FORCE IN PROS) .Gqr NUMBER 20I'A! 0 'i'E!Bf'. 1'f8 SV D I SCHRRGF. P IP ING SUPP ~ l OADS f 8/GR~ ) — 0 VALVFS S INUl
I"
NFOUS
21. 9!39.
1 9 9'30
1 4,99
9 997rm
(A4.997
002UJ
c)-'l) 002nlj -10 002
—1,') ~
00'20.001
l
-2f) ~ 00 l~
-30.000
CDLQCD
CDC)CJ
C
CDU)N
)CDCDIY)
CDU)jY)
T I t1F. ( SF CONGS )
~w~xxxxx~~ FORCF. IN DRCS GRP NcjNBF.R 21PRL.O VF.f'.I'lI': PEP,,')'J D I SCHRRGF P IP INC SUPPORT l.,ORDS < 8/GAP ) - 0 VRL.VF.S 5 IHUI.TR>PIOUS
"!3. 99(24 999
lq.9JB)
14 ~ 990
9.')97-
a- 4.997-
- -002i'', .002C)
-10 002
-1') F 002
-20 001-
-2 f) ~ 001
-30 000-
C)lAC)
C)C)ff)
T I NF. ( SF.CONDS )
~~~xw~x~xx FORCF. IN DRGS GRP NiJHOFR 22 xxxxxxxxxxVFPD,'; PZt~ .')'J 0 I SCHR<<GF. t'IP ING SUP ''.T L.ORDS < 8/GRP ) — 4 VRl VFS SIN TRNFOUS
21 999-
19 99
11 990
9.997
002
-!) 002-(3
-10. 002
-Ib 002
-20 001
-2!) ~ 00 1-
=-30 . 000
C)
C)C
QmC'J
C3C)
nC)
T I HE ( SECONDS 1
FORCF. II'J DRGS GR~ NUMBER 231'R1.0 "I'.f(OF. f'Zfc '~V 0 I SCHRRGF. f' f' NG SUf'f'OPT I. OADS < 8/GAP ) — 4 VALVES S IMULTA~JFOUS
29 - '399
24 999
l 9 ~ 990
14 . 998.
9 ~ 997 .-
(A 997--~'0+l>J
-h ~ 002C3'" -IO.OOZ"
l c, PP-"0.00'n
C)
CrnC3C3nc'j
C3C)rn
C)C)C)
-30 ~ 000
T I HE ( SECONDS )
x~x~xxxx~~ FORCE Il'I BAGS GAP NUl1BER 24 x~~xx~~xxxPRIV "F~?Br. PIR 5'7 DISCHARGE PIP ING SUPP RT I ORDS <8/GAP) — 0 VALVES Sll1U NFOUS
'-'9 99
'399-
990-
9 -99?(Aa 4.99?-
— .002i>J
-f) ~ 002-n
-los 002
-'l) ~ 00-
-20 00l
-2' 00!
-Sn.onO~
C
C)Li')n n
CJ
C)OIY)
(3IDIY)
T I MF. ( S f. C 0ND S )
xx xxx x FORCF. IN BAGS GA" RiJNOFR 2bPAl 0 VFRDf'; P7R SV D I SCHRRGF. P IP ING SUPPORT LOADS < 8/GAP ) — 4 VALVFS SIHULTANFOUS-
2'3 99'3
24.ana-
1'3 . 9'30
14 .990
9-997(A
4 .!397
- -002-ii.j
—f) ~ 002C",) .
-10 002
- 1') ~ 00
-20 001
-2l) ~ 001
;3P PPPL
C
C)lOCd
C)C)Cf)
C)C)
T IHF. I SF CONDS)
x xxx FORCF. IN OAGS GAP NUMBER 26PAI 0 YFRDF.: P jR SV 0 I SCHARGf; P IP ING SUP. PRT I. OAOS < 8/GAP ) — 4 VALYFS S IMULTA>JFOUS
21 !39'3-
! 9 '3'30-
1 l ~ 996
'3 ~ '.397
4 '39 ~
002iiJ(i-'!) ~ 002C.)
-10 002
—1,'i ~ 002.
-20 001-
-2 f) ~ 001
-30 00
LQn
Cnn(wJ
C)lDCU
nC)
C3lAlY)
'T I t1F. ( SF.CONDS )
wwwwwwwwww FORCF. IN DAG5 GA" NUNBF.R 271'RI.O VF.".!'E PEP. SV D I SCHRRGF. P IP I NG SUPPORT LOADS < 8/GRP ) — 0 VALVES 5 IHULTA>ACEOUS
'3 -9'3
21 9!3'3
l9 9'30
l 4 . 990"
9. 997
4 .'j j7
002uJ
002-C)
—l 0 ~ 00'
1 b 00'.
-20 00l
-2f) ~ 00 l .
->0,000L
C3inC3
C)C) Iln
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C3O
TIFF. (Sf.CONDS l
FORCF. IN ORBS CAP NUNDFR 28PA! 0 VFROf; PEP 5/ OISCHRRGE PtPINQ SUPPORT LOAOS ~N/GAP) — 4 VALVFS SIHUI TAilFOUS
29 9')
9 997-
4 '97
p$3
002-LLI
-.i . no2-C)
lo 002
C,.3
C)
Q
C
C)C)
C)o
-20 001
—2.i. no I-
-'30;000-
T I NF. ( Sf'.CONDS )
fORCF. IN DRG". GA~ NUNBFR 29PRI 0 vfIl[)f. P -'.R sv 0 I scHRPGF. 1' P I NG sUPPQRl L 0RDs < 8/GRP ) - 0 vRl vFs 5 IHUl TRRFQUs
(i)<L
," 3. 'V3'3
2 ~i ~ ~39'3
'3 -9'30
14 998
9 ~ 997
~i 997-
—.002llJ"'l .002-n
-10 007:
—1 3) ~ 002
)
)",)
nLPGAn
nnO'J
CnC)
nn
—20 F 001T
-2f) ~ 00 1"-
-~O OOOI
T IHF ( SFCONDS )
xw~xwxxwxx FORCF IN OAGS GAP NUBBER 30VF!lI3f PtB SV D I SCII URGE P IP tNG SUPPOR~ LORDS < 8/GRP ) — 0 VALVFS 5 Il1ULTANEOUS
'
!)0 ~ 000
~n.noo
30.00O
70 000I
'! o.noo!C
0 000
(3—'.0 000
C)inn
LI
C3n C)nC'J
E
C3
CU
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