ML20093D360

Rev 1 to Seismic Calculations for ASME Section Iii,Class 2 Valves

ML20093D360
Person / Time
Site:	Catawba
Issue date:	09/30/1983
From:	Panciera M, Randall R GRINNELL CORP. (FORMERLY ITT GRINNELL CORP.)
To:
Shared Package
ML20093D318	List: ML20093D315 ML20093D335 ML20093D349 ML20093D360 ML20093D381 ML20093D406 ML20093D418 ML20093D448
References
W-156, W-156-R01, W-156-R1, NUDOCS 8410110218
Download: ML20093D360 (37)

Text

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ITT GRINNEL' ANVISION f

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SEISMIC CALCULATIONS sjvM.

FOR 9,.;

MILL POWER SUPPLY COMPANY (DUKEPOWER)

CATAWBA NUCLEAR STATION e.

ASME SECTI0ft III, CLASS 2 VALVES 7

DUKE POWER SPECIFICATI0!i NO. CNS-1205.04-1 ADDEllDUM 1-3

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ITT GRINNELL DIA-FLO ORDER NO. N79-52207 b

CALCULATIONS PERFORMED BY 0

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M. J. Pancierh, Sen. Prod. Eng.

Date ff!83 CALCULATI0fis APPROVED BY

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INTRODUCTION......._...........

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2.. METHODS OF ANALYSIS 2

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LOADING 3

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RESULTS OF SEISMIC ANALYSIS 4

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<ge 39 Appendix A - 2" 150# etainless Steel Diaphragm p

Valve w/7NA71 Rotork Actuator

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Appendix B - 4" 150# Stainicss Steel Diaphragm

' 'y Valve w/14NA71 Rotork Actuator a.

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INTRODUCTION The purpose of these calculations is to demonstrate that the valves h

being supplied by ITT Grinnell Dia-Flo Division are designed in ac-x-

cordance with Duke' Power Specification NoTb-1205.04-1 and meet all seismic design requirements of the specification. These calcu-lations apply to the below-listed valves.

. Dia-Flo Dia. Valve Duke Power Item No.

Drawing No.

_D_escriotion Tag Number 2

SD-C-108417 2"-150 S.S.

5B-263 3_

SD-C-108416 4"-150 S.S.58-473 I,

One analysis was done for each of the above-listed valves. For the actual seismic calculations, see Appendices A and B.

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METHODS OF AtlALYSIS The method of analysis is based on applying a static resultant force N-resulting from the equivalent earthquake accelerations acting at the i't center of gravity of the valve assembly. The valves are analyzed

. assuming worst case mounting.

Principal stresses were calculated for valve component parts (other than the body) which are essential to the pressure integrity or functional adequacy of the valve. These stresses were then compared to the applicable allowable stresses in the 1977 ASME Boiler and

' Pressure Vessel Code, including the 1978 Winter Addenda. The valve bodies were analyzed by comparing their metal areas and section moduli to the connecting pipe's metal areas and section moduli.

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For the analysis of these valves, the load combinations considered

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the design specification since this represents the most severe load

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plicable valve component part by the appropriate resultant seismic i

coefficient (i.e., the square root of the sum of the squares of the

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coefficient required by design specification and adding 19 to it to 0:

account for the valve weight. The horizontal seismic coefficient of 3g's was specified in the design specification.

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k RESULTS OF THE SEISMIC ANALYSIS 1

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.The results'of the seismic calculations are as follows:

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The stresses'in the valve components resulting from the applied loads caused by the Faulted Condition were below the allowable stress' limits allowed by the 1977 ASME Goiler and Pressure Vessel Code including the 1978 Winter Addenda for normal operating con-ditions. This demonstrates that the structural and functional integrity of the valve will be maintained for the various plant conditions, s

2.'

The ratios of the valves' section moduli and cross-sectional areas were found to be equal to or in excess of 120% of the attached

_ piping section moduli and cross-sectional areas. This demonstrates that the attached piping, rather than the valve, is the limiting factor in the piping system.

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2.00 IN GAM DIAPHRAGM VALVE PAGE A 1

DUKE JOB NG. N79-52207

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DESIGN DATA FOR A 2

IN. POWER CPERATED DIAPHRAGM VALVE' VALVE ASSEM9LY WEIGHT

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;54,? LG DISTANCE FROM THE VALVE CENTES CF CRAVITY TO:

ACTUATOR BRACKET JOINT

'Di= 3.23 IN DOTTCM CF ACTUATOR JOINT D2= 5.73 IN DUSHING-DONNET JOINT D3= 6.8 IN TOP CF BONNET FLANGE D4= 3.80 IN DCDY--DONNET JCINT D *3== ?. e. 9 IN DIGTANCE FROf1 THE VERTICAL CEt4TERLINE OF THE VALVE TO:

'A TME VALVE C.

G.

ALONG THE FIPELINE l'.X T E 7 :. u. ' i:6 IN T:lE V ALVE C. 13. PERFENDICui.AP TO n;E PIP E;.ItfrI Z2c 1.969 IN 4

CE01GN ?FEC3URE Pe 'SO PRI M.9ICN TEMPERATURE Tr= 260 F,

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[UBJC"T: 2.00 IN GAM DIAPHRAGM VALVE PAGE A 2

CHKD. DY

.DaiEhE OR: DUKE JOB NO. N7:1-32207 ACTUATCR-BRACKET DOLTING ANALYOIS I

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BOLTING DIi1ENSIONS:

AX= 1.05 IN AY= 1.06 IN BX= 3.G8 IN SY= 3.8G IN DOLT CTRESS AREA =

0773 IN^2 SEISt11C FORCES ACTING ON THE BOLTING FHnG*W= 804.004 LD FV=Ul*W= 464.7 LS WHERE G IS THE RESULTANT ACCELEGATI':.1 I2 * (G L ^2 ) +- (G2^2 ) ) ^0. 5 THE GREATEST AXIAL FORCE CN THE BOLTING IG DETERT1INED DY EUT1711NG MOMENTS ABOUT THE X-X AXIS AND THE Y-Y AXIG.

THE LOAD ON THE BOLT FURTHEET F7CM THE POINT Cli LINE (,BOU T WHICH THE DCNNET FLANCE WCULD PIVOT IF Fr<EE TO ftY/E 13 DETER 11NEU.

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--DATE iUB T:'2.00 IN GAM DIAPHRAGM VALVE PAGE A

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-CHKD. BY$% 0 ATE OR:-DUKE JOB NO. N79-52207 THE' MOMENT IN THE X-X DIRECTION IS:

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M(XX)=(FH*D1)+(FV*Z1)

=(. 804. 88* - 3. 23) + ( 464.70* O.16)= 2672.3 IN-L3 THE MOMENT IN THE Y-Y DIRECTION IS:

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M (YY) = (FH*D1) + (FV*Z2)

=( 804.88* 3.23)+( 464.70* 1.97)= 3514.8 IN-LB

' FORCE ON BOLT A DUE"TO' MOMENTS ABOUT X-X

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FX1=(M(XX)*B(X))/C2(A(X)^2+B(X)^2)3

( 2672. 3*3. 88 ) / C. 2_( ( 1. 06) ^2+ (3. 88) ^2) 3

320.4 LB FORCE ON BOLT A DUE TO_MCMENTS ABOUT Y-Y FY1= (M (YY) *B (Y) ) / t2 ( A (Y) ^2+B (Y) ^2) 3

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( 3514.G*3.88)/C2((1.06)^2+(3.88)^2)]

421.5 LB THE FORCE DUE TO A VERTICAL LOAD ON EACH BOLT IS:

FVi=0.25(FV)=0.25( 464.70)=

116.18 LB 3

THE' TOTAL LOAD ON BOLT A IS:

FVT=FX1+FY1+FV1=

320.44+

421.47+

116.18=

858.09 LG

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'THE TOTAL SHEAR FORCE PER BOLT IG:

SSuO.25+tFH+(FH*Z)/Z4)=0.25*(

S04.88+(

804.88*1.98)/2.00) 399.97 LB

=

WHERE Z4 IS THE DISTANCE FROM THE VALVE VERTICAL CENTER LIME TO THE.FURTHEET CAPSCREW AND Z=tZ1^2&Z2^23^O.5.

'THE-STRESS CN EACH BOLT IG:

TENSIL2 STRESS-SIOMA M=FVT/A3' 850.09/.0775= 11072.1 PSI

,4 SPEAR ST'tESS-TAUaSB/AD=

399.97/.0775-5161.0 PSI

'THE PRI*1CIPL7 STRESCES ARE:

THE PRINCIPAL GTRESSES AT A-A SIGMA 1=C (SIGMA M + SIGMA B) /2}+< ( ( (SIGMA M + SIGMA B) /2) ^2) + (TAU)^2)^O.E 13104,45 PSI

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-e SIGMA 2=((SIGMA M + SIGMA B)/2}-((((SIGMA M + SIGMA B)/2)^2)+(TAU)^2)^O.!

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' DOLT MATERIAL: ASTM A!?3-80 YEILO OTnENGTH:

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p BY DATE UDJECT: 2.00 IN GAM DIAPHRAGM VALVE PAGE A 4

chi (D. $DMOHTESl38d?OR: DUKE JOD NO. N79-52207 ACTUATOR-SCNNET ADAPTER BRACKET ANALYSIS I

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ADAPTER BRACKET POST CINENSIONS:

AX= 0.30 IN AY= 0.50 IN SX= 6.73 IN SY=: 3.50 IN BOLT STRESS AREA =

.1419 IN^2

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SEISMIC FORCES ACTING CN THE BOLTING FH=G*W= 804.884 LB FVnG1*W= d64.7 LD WHERE G IS THE RESULTANT ACCELERATION {2*(Gl^2)+(G2^2) FO.5 THE GREATEST AXIAL FORCE ON THE DOLTING IS DETERMINED BY SUMMING MOMENTS ADOUT THE X-X AXIS AND THE Y-Y AXIS.

THE LOAD ON THE DOLT FURTHEST FROM THE POINT OR LINE ABOUT WHICH THE DONNET FLANGE 1

NOULD PIVOT IF FREE TO MOVE IS DETERMINED.

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T: 2.00 IN GAM DIAPHRAGM VALVE PAGE A 5

'CHKDIBY M D5TE 70R: DUKE JOB NO. N79-52207 THE MOMENT IN fME X-X DIRECTION IS:

(..

M(XX)=(FH*D2)+(FV*Z1)

=( 804.88* 5.73)+( 464. 70* O.16) = 4684.5 IN-LD THE MOMENT IN-T.HE-Y-Y DIRECTION IS:

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^s M(YY)=(FH*D2)+(FV*Z2)

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=( 804.88* 5.73)+( 464.70* 1. 97 )== 5527.0 IN-L3

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FORCE ON BOLT ~A'DUE TO MOMENTS ABOUT X-X FX1= (M ( XX ) *B ( X ) ) / E2 ( A ( X ) ^2+B ( X ) ^2) ]

( 4684. 5*6. 75) / [2 ( (0. 50) ^2+ (6. 75) ^2)

045.1 LB FORCE ON BOLT A DUE._TO,. MOMENTS ABOUT Y-Y FY1= (M (YY) *B (Y) ) / t2 ( A (Y) ^2+B (Y) ^2) ]

( 5527. O *3. 50) / 0 2 ( (C. 50) ^2+ (3. 50) ^2) ]

773.8 LB THE FORCE:DUE TO A_VERTI. CAL LOAD ON EACH BOLT IS:

FVi=0.23(FV)=0.25( 464.70)n 116.18 L3 THE' TOTAL LOAD ON BOLT A IS:

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FVT=FX1+FY1+FV1=

345.10:

773.73+

116.18=

123G.06 L3 THE-TOTAL SHEAR FORCE PER DOLT IS:

SB=0.25*(FH+(FH*Z)/Z4)=0.25*(

804.88+(

804.88*1.98)/3.47) 315.08 L3

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=

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WHERE Z4 IS THE DISTANCE FROM THE VALVE VERTICAL CENTER LINE

-TO THE FURTHEST CAPSCREW AND Z=EZ1^2+Z2^23'O.5.

THE STRESS ON EACH BOLT IS:

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TENSILE STRESS-SIGMA M=FVT/AB= 1235.06/.1419=

8703.7 FSI EHEAR STRESS-TAU =G3/AD=

3 5.38/.141?=

2226.1 P3I THE PRINCIPl.2 STRESSES ARE:

~THE PRINCIPAL STRESGES AT A-A SIGMA !=C(SIGMA N + SIGMA B)/2}+((((SIGMA N + SIGMA B)/2)^2)+(TAU)^2)^0.!

".40.01 PSI

=-

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. SIGMA 2=<(SIGMA M + SIGMA B)/2}-((((SIGMA M + SIGMA B)/2)^2)+(TAU)^2}^O.'

~576.2954 PSI

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--OATE UP.7 Fm IN GAM DIAPHRAGM VALVE PAGE A 6

BY@ ATEM3h:. % 00

-CHKD.

DUKE JCB NO. N79-52207 DONNET-ERACKET ADAPTER DUSHING ANALYSIS l

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804.++ 6.00+

464.7* 1.975 63CO.C UJ-LJ

-WHERE Z10 IS THE GRCATER CF ::1 CR 22 CROSS SECTICNAL FRCPERTIES AT CECTION A-A A= (PI / 4) * (0. D. ^2--I. D. ^2) = (PI /4 ) * ( ( 1.12) ^2-(0. 76) ^2} = 0.54 IN^2 I= (PI /64) * (0. D. ^4-I. D. ^ ? ) =. (PI /64 ) * ( ( 1.12) ^4-(0. 76) ^4) = 0.0611 IN^4 CrO.D./2'1.12/2=0.56 IN STRESSES DUE TO SEISMIC LOADING AT A-A

' TENSILE GTRESS=GIGMA hwFV/A= 464.70/ 0.54n 0 6 8. ,8 P S I ht,!

SENDING STREEG=SICMA B'M*C/Im 4300. 21 *0. 56/ 0. 0!rs S3530.37 P9I CHEAR STREESarAU=FH/A= G04.09/ 0.04, U.504. 0? PS I q

9'

+ t j. f hvj e'

• t

),-

-~

.y.,..

-j :n.. yn

.a

+

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. ; e, d 7;,,$;,',"h, :i{ g

, h... f::.p;) z,

. < n L*... 2-'? Q; V. s,1 3,ff',yv, ;. a.g Wig o -,e w.

.4 wo s

l '; kn * '

,t

. f.

~

, glG'"l, M,R;'lL j, % ;Y..Mf y'L

, J: r

(" '

[ ;-_ a&,,f v' 4

.,!.s 4, jgg?':

w

-~m--w j,k%&Qm;/@fj$y; A.

v.

BY_

TE J B.1 T: 2.00 IN GN1 DIAPHRAGM VALVE PAGE A 7

y',Rh0ATEM

=CHKD, DT CR: DUKE JOB NO. N79-52207

-THE PRINCIPAL STRESSES AT A-A SIGMA 1=((SIGMA M + SIGNA B) /2)+(( ( (SIGNA M + SIGMA B) /2) ^2) +(TAU) ^2)^o.

59436.81 PSI

=

SIGMA 2=((SIGMA N + SIGMA B)/2}-((((SIGMA M + SIGMA B) /2)^2)+(TAU)^2)^o.:

o

-30.05055 PGI

=

DUSHING MATERIAL: AISI 4340 ALLOWABLE STRESS

'114000 PSI O

e i

e d

s I

. n til \\br dl

-!f;@lelh!

g; o:

3 1

.m, s.

Jgn

~'

>v a

l

.g 7

(,,-

~

r'_ c h. j;i'*

. ll q '

':E., & ?:l D *,.

'. i ;f,s n

.~

?.

,~

>,y t

, t. L, - ' '

,. r ;.

,.?

>y 3

!i hf

/..

- <i.'

.A 9 6 w.

• 11.,.

i 1

^

3.

• ff ;

1 j c... < 6 s.

d

+

t, h.I.: /J.k Mi%$' c

,g/

}

j p

c o.... -

. a%+=*e c.wauwwwu.zc:n, -

w e-

7-,

3 '/

W DY 4.MTF T"

2.00' N GAM DIAPHRAGM VALVE PAGE A 8

CHRD: amTEdig"T:O,: Dona aCa NO. N7e-32 m

?

'i-4

(.

VALVE EONNET ANALYS,IS j

y'!

f

.t

.%4>

.6 Fy

,- L:

n N-

.F ll H W

.,)

8 5

p

-).

1 l

g e,/ '

w r.

)I

.i '

,' 7I !.

y y

u

.- t a-A a

t SECileM A-A MINIMUM SONNET SECTION O.D.= 3.48 IN I.D.= 3 IN ww*

GEISMIC FORCES AT SECT!ON A-A

.?

-a FH=WNG=154.90* 5.20=

804.9 L3 FV=W*G 1-= 154. 90* 3. 00=

464.7 LB a

M =FH*D4+FV*Z 10=

804.9* 8.83+

464.7* 1.97= 8022.1 IN-L3

, HERE Z10 IS THE GREATER OF Z1 OR Z2 W

9 i

, CROSS 577TICNAL PROPERTIES AT SECTION A-A hp x t-i s f: J '.4-

. A= (P I /4 ) * (O. D. ^2-I. D. ^2) = (P I / 4) * { ( 3. 48) ^2- (3. 00 ) ^21 = 2. 44 IN^2

i 1

I I t: (P I /64 ) * (O. D, ^4-I. D. ^4) = (P I /64 ) * { (3. 48) ^4- (3. 00) ^4 } =- 3.2232 IN^4 s

3.. <

'* A-3 s C=0.D./2=3.48/2=1.74 IN 9,

. a Q

p, HTFEGSES DUE TO SEISMIC LCADIMS AT A-A

-4

7.. >

(, N'j' ;e,4

?.,}

, s,i$..E TEidGILE GTnE.SS=. SIGMA MmFV/ A, 464. 70/ 2. <;4=:

W 3ej 190.22 FSI

..; n%.c,f ' **

• J4 L..k'h '$ 4 e ',Ss m

.r_,

(q 5

I '* tr = -

.# --u,

...e.

e---c,,,_m,-.

q _.,,:

.c e-m. u

--.,**F,3

• t e f4

-~.om.

~.

e-

- n,,.J J.j.

-+H.ffy N m;-.m,At*C' Qs(4C..aw" Q 104

• >wd'.r..

1. ' $ s - h ' b Hg w t _/s g.

vs v-s

- l.f$$$b%d '!1h

~ ' Y;: ' ' *

' G. '

~

h: ; lC f

1 s

n ig7J SSTAU Ni M

w.; g%

3 SeEAa.,:.STREE,.awo,=-FH/A= cGO4. 68/0214'4w. ;3ETJ4GEF.EI' uiMfm vm;;a 1-evwm )t d,:

6

..a.;

sm

.. -f f

n w ;'.;c; gw 2;$$b;;a Nh h$

c 7as.;b NIk'kYkbb}fh k $

nf bob i

s.--

^

p.

=,.

h-i BY _ __-D ATE. _

U T: 2.00'IN GAM DIAPHRAGM YALVE

-PAGE A 9

CHKD.:BY M O TE__

R:. DUKE

' JOB NO. N79-52207 e.

s -

' BONNET STRESSES DUE TO INTERNAL PRESSURE q > : BONNET.' LONGITUDINAL STRESS =. SIGMA L=

V-

~

=PREb.'*ID/(4*((OD-ID)/2))

=1502O*3.00/E4*((3.48-3.00)/2)]= 4/.,8. 7 PSI 3-m, r

'~ BONNET TANGENTIAL STRESS = SIGMA T=

~,

= PRES.*ID/(2*((OD-ID)/2))

=150.'O*3.00/C2*((3.48-3.00)/2)3= 937.5 PSI

-Wj g s

-THE~ TOTAL BONNET STRESSES ()RE:

rSIGMA Y =. TENSILE STRESS + BENDING STRESS + SIGMA L

=

190.22+

4330.7+ 468.7=

4989.7 PSI SIGMA Z = SIGMA T= 737.4999 PSI

~ '

' TAU'X-Y = SHEAR STRESS-= 329.4789 PSI s

i THE PRINCIPAL STRESSES CAN BE DETERMINED BY THE'FOLLOWING EQUATION (SIGMA P)^3-I1*(SIGMA P)^2+I2*(SISMA-P)-I3=O

-r WHERE:-

I1= SIGMA Y+ SIGMA Z='5927.156 PSI I2=(SIGMA Y)*(SIGMA Z)-(TAU XY)^2= 4569246 PSI I3=-(TAU XY)^2* SIGMA Z=-1.017715E+08 PSI

~

NOTE: SIGMA X'= TAU XZ= TAU YZ=0 n _

_ _. c.

SOLVING THE ABOVE EQUATICN FOR THE PRINCIPAL STRESSES:

SIGMA.1 5010.261 PSI

=

SIGMA 2.=

935.5935 PSI

^

SIGMA'3'= -18.70325 PSI LSONNET MATERIAL: ASME SA-351-CF8-ALLOWABLE. STRESS PER THE ASNE SOILEi? AND PRESSURE VESSEL CODE SECTICM III'

^lDIVISION 1 TADLE I--7. 2 IO:

14800 PSI AT 24:0 F h

+

l

~

1%

l

,o sy.

E'.*

,r a

r: 3; JG

...iMJM)

^k [ b h..g O

, W$h

.a n.6 u.,

c k; -

2 h y &,.u.e p

' MM49

.c,..

3...,

.v...

.r

. - - =

,.n r.

a my es n

f h

.l,0%^

1. ^

~

Y2 Y:e l'5 l0

'*ll V* (h_.

n

" M M p5 g;;.y ' r e;.m s, a; % ;i Q Q D h yggyC w yyyp:r y, p.jdOyQ Q.Q:

s w.Q.v, n b : hhkkk;b3

}

. m w:f::MHnnwnsw~f; % 'aM::;@n %. -

xt IdMe 3:mnop x[x::s..,j m n

v.?

h'-

$h:b.

Tb b*h Nk Ni

[2,g'w[gw;g.1ww. w u} fMMM 2*NI-m m w.+

~.ya _

v

'W.

_-_..-.-..___-_-..----.-.-.--_a

c.

I BY_

fJATF

_' 9 1 rT: 2.00 IN OAM DIAPHRAGM VALVE PAGE A tn CHKD. E'< k DATE h OR: DUKE JOD NC. N7?-52207

(-.

SODY-DCNNET BOLTING ANALYSIS 2 --+

=--

3

/

• ----- B y lF V

,, e Ay BOLT A

• -8 s.

s N-FH w

'l

'(

f

'J CJ g

z

/

/

1

. _f..__,

/

BE DS Id

/T I

e

_.F.

Ax X*

o i

ttttt Y-Y

/-=n==

SECTION A-A mnvan BOLTING DIMENSIONS:

(

AX= 0.60 IN AY= 0.O? IN DX= 3.67 IN BY= 4.15 IN LCLT GTRE33 AREA =

11G7 IN#2 SEIEi1IC FCRCES ACTING ON THE BOLTING FH=C3W= G04.894 LB FV=Gl*W= 464.7 LB WHERE G IS THE RESULTANT ACCELERATION 2*(Gl^2)+(G2^2)]

THE GREATEST AXIAL FORCE ON THE BOLTING IS DETERMINED BY SUMMIT'G MOMENTS ABDUT ':!-E X-X AXIS AND THE Y-Y AXIS.

THE LOAD ON THE

^

BCLT FURTHEST I: ROM THE POINT OR LINE ABOUT WHICH THE PONNET FLANGE

.s.

WOULD PIVOT IF.rREE TO MOVE IS DETERMINED.

- 9 ' MA a

THE MOMENT U1 THE X-X DIRECTION IS:

M (X X ) m : FH*DS) '- FV*Z 1 ) -

=(

3.H. G8 ?.49)+( 464.70b 0.'.6)=

7710.G IN-L3 i

t '.

A' m

, y y, gsj

(

,s 17 -,,THE MGMENT TN THE Y-Y DIRECTION I S.'

g?@n:/?f}

~

. :ngA

+

,. g, y.

- MtYY h. (FH'tD5: +- (FV +Z2).

fpgu(;rp z....

1.97)F3353.$',IN-LB' % %.I '.h %

y, 4

gg,, 9 39 g.^64.70N

.. D ig. %m. -

. mag

... A

. a

~ -'

s,,-if:;',,

!;w:'..- '..

v4 Q&

g&;n& R:: =&a,p%lll:.(ms$,.. ;.;?l

_ ??w:;,

v.

jWkkYkQ, ; d?:: hM?y. m3pY 3

- l 2 L -a s J

s,,

,~

w e. s a w w%l &w m m ' g'.ran %.

W4

_gr we

enGm,?W'2,' 5

$ I Iy y'n gp

.F I.'

I BY

-DA

)J CT: 2.00 IN GAM D!APHRAGM VALVE PAGE A 11

'CHEDEBY h ATE OR: DUKE JOB NO. N79-52207

[.s FORCE ON EOLT A DUE TO MOMENTS ABOUT X-X FX= (M (X X ) *B (X) ) / E 2 ( A ( X ) ^2+B ( X) ^2) 2

( 7710.8*3.67)/C2((0.60)^2+t3.67)^2)3

1023.2 LB FORCE ON BOLT A DUE TO MOMENTS ABOUT Y-Y

FY= (M (YY) *B'(Y) ) / E2 ( A (Y) ^2+B (Y) ^2) 3

( 8553.3*4.15)/[2((0.G9)^2+(4.15)^2)3

985.2 LB s

Li' 3e THE FORCE DUE TO A VERTICAL LOAD ON EACH BOLT IS:

- FVi=0. 25 (FV+ (PRES *EFF AREA) )

~

M

'=0 25(

'464.7+(150*PI/4( 3.00)^2)=

381.3'LB THE TOTAL LOAD ON BOLT A IS:.

FVT=FX1+FY1+FV1= 1023.18+

985.21+

3G1.25=

2389.63 LB

THE TOTAL SHEAR FOdE PEff BOLT IS:

~~

SB=0.25*(FH+(FH*Z1)/Z4)=0.25*(. 804.88+(

804.88*0.16)/2.24)

=

213.24 LD 49p.'4 WHERE Z4 IS THE DISTANCE FROM THE VALVE VERTICAL CENTER LINE TO.THE FURTHEST CAPSCREW.

THE. STRESS ON EACH BOLT IS:

TENSILE STRESS-SIGMA M=FVT/AB= 2389.63/.1187= 20131.7 PSI SHEAR STRESS-TAU =SB/AB=

215.24/.1187=

1813.3 PSI

-THE PRINCIPLE STRESSES ARE:

~

-THE PRINCIPAL STRESSES AT A-A SIGMA - 1$=< (SIGMA M + SIGMA B) /2}+(( (SIGMA M + SIGMA B) /2) + (TAU) ^2}^O.5

?

20293.74' PSI

=

SIGMA 2=CfSIGMA M + SIGMA B)/2}-{((SIGMA M + SIGMA B)/2)+(TAU)^2}^O.5

• 1

=' -162.'0264 PSI BOLT MATERIAL: ASME SA-453-660

. ALLOWABLE. STRESS'FER THE A3ME BOILER AND PRESSURE ESSEL CODE SECTICN III.M, N iDIVISION.l' TABLE I-7.3 IS:

20500 PSI AT 260 F

.A m

'l/

s i

4 n._.

.? E [

s -.,

,enJr

-c

~

.,%j,k f$

l,

_ (7

=

, c -- f. Q Q L m.w :ppey]

L,.;

~

f se m :

e z

_ __e w

, aw..

ga m;a oe-w b; &.wgy.m s:-N,%

WL ~; k$.

v

i

"'% i;

',, !.n l " U16,%, W _Q %hy;.jf?(M Yithfl

.m-1%pk:%WS9:R :::> e v Q % % i n n w S Y G u $n 7 g.g M.Ag.M f~4;t-p M N &g-M ew.er UEWh

"%F

, R&-Mn && 4%@e;2lhM

_g % ya'

<.. r.

ws;g%q k y;Q gt 5'

ew DAckrm

. &;ykagthW%,%pq$q&q?%g@q%:%;gyag c.

i me

??-

_,q; R*g w1 W

4 pa yg am x

. - a

'd ' A M. L

r i

Bh.

_EATE UB C T: 2.00 IN gat 1 DIAPHRAGM VALVE FAGE A 12 CHKD. Bik DATEf

,303:

DUKE JOB MO. N79-52207 VALVE BODY ANALYGIS l

\\

/

7 4s m,

1 I%.

t r

1

~+-

h hd 3

A 3

• • --4.0.===

halk %

SECTaose A-4 VALVE ECDY O.D.

AND I.D.

A O.D.

2.5 IN I.D.

1.94 IN

=

=

CRCSS SECTICNAL PROPERTIES AT SECTION A-A A.V.=(PI/4)E (OD'2)-(ID^2)J

= :PI /4)

• I (2. 30) ^2-( 1. 94^2) ]=

1.953 IN^2

2. V. = (T'I /32} M (CD^4)-(ID^4) J /OD

(PI/32)*C(2.50)^4-(1.94^4)]/2.50

0.978 IN^3

' VALVE BODY MATERIAL: ASME SA-351-CF8

- ALLOWABLE STRESS PER THE ASME BOILER AND FRESSURE VESSEL CODE SECTION III DIVISION 1 TABLE I-7.2 IS:

148601 PSI AT 260 F ATTACHED PIPING: "HEDULE 40 PIPE SECTICN PROFERTIES: AP= 1.075 IN^2 ZP=. :!61 IN^3

. PIPE. MATERIAL:312 TP304

~

~ ALLOWABLE STRESS PER THE ASME BOILER AND PRESSURE VESSEL CODE SECTICN III DIVISION 1 TABLE I-7.2 IS:

17080 PSI AT 260 F-

g.,. @e'4 RATIO OF VALVE BODY METAL AREA TO PIPE METAL AREA IS:

( AV/ AP) * ( ASV/ ASP) = ( 1.?53/ 1.075)*( 14860 17080:=1.6 RATIO CP VALVE BODY SECTICN MilDULUS TO P;fE SECTION MODULUS IS-C hi}

t g y h f.3Oh!!

(ZV/P) * ( ASV/ ASP) :( 0.973/ O.561;*(.14860/ 17080)=1.5-

{}

.c+.

w

~

fi%(%N

~.,

. ~, 7Ns ' <ni

2?

n

.klf

[ Q&j l*?

??, e

{"

t c

w-e.

t r W pewsi,2 a ;;

' ;w.

,Nf jyk 7

. ll hf fikh h

,g.

. ) ?:Qb

..j,:

h ^'ff z3

~'

WM.cas % g-.e ~g;mOgp& &l

rwwww

.9 ms:#

g,g s ggri pgs..

g.;;,wh+ =e ~Ag Mgggg 1%wawe g:=uy--fgwy1;tuy3=~ ' Am,,. -

p;.3 q..,fyy;.%m.4 sm,2co w#.pt

~,

yn.

,y gw g

,s,r. m m er a - -

- ~sixw

~

3

^

^

1...

+

o,

,,t(,

.. ( p' w

L k

'}

0 g.

. 1

.::::5 ?w.

^

N.

~

APPENDIX B

< g :%

r ; ze N

4" DIAPHRAGM VALVE

, r

-WITH 14NATI ROTORK ACTUATOR En,

I I.

s e

. "^

6 5

W40 i

s ogs b Y

\\

v w

)

g i

o e

V

't i

=

. % W eh i

,N y

% 3%

[

p..,

.'1r,

-r t (

r, 4

+

.' 4) 3:

f.g s

~t

'} i ;.

...* U

. 'G r" -

• a'*k_

u s fr 6

u?

+ 5- /

- %* # p,- d 'w9,*

7e

..x e~

g'4

,f ; te

--sg-v:;m,~

s n,

c a y:..,f..q;..

w w,

4 A

,3 2.j,j ;.

d -

9./

e

,a

^;-w}.

yf ? y',' y CN,. 8, g.c'.

g'V'

(

^

'}

Q'J*. / ',j

.-~n'

[

i g

g 3 p,.. ('f ; pg-b 3,

.,. gy;,g dfb$;h&c J$ a a.,1 ~.[DJ hYft (Y {0T':

45-' -I-4,,

• • % $N

• $ ??

Y

5 ; y ' bY..'

. n w....v.n n,

a

~

,, j'ifjt

'lJijh ' f h y *)l.

k'

} k ;f^h f 4

• 1

_f

.f

-, 5'E

. - -,, ~,- +. n..e...

? s{

l.?f

.?

Y.

B

._ RATE DJFCT: 4.00-IN GAM DIAPHRAGM VALVE PAGE B 1

CHKD. BY%EATE8MMOR: DUKE JOB NO. N79-52207 Z-(.

g 2

ig

/

g

/

M' W

'O W3 Dg l

O2 03 D4 05 y

ir 1t e

o DESIGN DATA FOR A 4

IN. POWER OPERATED DIAPHRAGM VALVE VALVE ASSEMBLY WEIGHT W= 312.6 LS DISTANCE FROM THE VALVE CENTER OF GRAVITY TO:

ACTUATCR GRACKET JO!NT D 1 -- 6.12 IN EOTTCM OF ACTUA7CR JOINT D2: 9.37 IN DUSMING-DCNNET JOINT D3= 10.69 IN TOP OF BONNET FLANGE D4= 14.23 IN ECOY--DONNET JOINT D5= 14.92 IN

.F:,

s O! STANCE FROM TME VERTICAL CENTERLINE CF THE '.'ALVE TO:

THE VALVE C.

G.

ALONG THE PIPELINE AXIS 71" 2."1 IN THE VALVE C.

3.

PERPENDICULAR TO THE PrFELINE Z;'- 2. 73 IN d

DESIGN FRESSUPE P= 150 PSI SESIGN TEMPEP, :TURE T=. 26.d,i,F. u-@a

% -gy, e y..:++ ?. k. :)

- e.

i Mr,L i@h_

l SEIGMIC ACCELERATION:

a

'4J i 4' %, A

'~-

a

,c.

r E,,,, 1. AN -

t in o. a,, m....

,+,4

~

ds GJ..e

00 =.

k Q<s.y Q 0

sa.

v e"+

< q s fs i

2y.

.i.%,lf?

.,L L-

.g _,

w]$kkN k M

[.l.. ';ggf

.;)$ b [; ;

% } N [3 9 ".:p, j j n.' 1 ;k/Jg[.l.c. ]s( Q a.h ik m a n w.. r.- g & w w w. e n s.,u. s..,..n. a, e.,w e.. p g,e s.;; m. e s.,:, so uw.

v

., a c.

~

e w

s n w-p~n,ne:wm_maman., ne ~aggy. 7.g3

7-.

.pi

' BYIT - DATE eJP7FCT: 4.00 IN GAM DIAPHRAGM VALVE PAGE B 2

JATEN OR: DUKE

-JOB NO. N79-52207

.CHKD. B)

ACTUATOR-ERACKET BOLTING ANALYSIS 2 --.-

~

3 4

]

. \\

/

_.j Fy a,

n a

(f l

a=,_

(

~@

_S g

a I

.s t

I BCLTING DIMENSIOrdS:

AX= 1.62 IN AY-= 1. 62 IN BX= 3.51 IN BY= 5.51 IN BOLT STRESS AREA =

.226 IN^2 SEIST!IC FORCES ACTING ON THE BOLTING c

FH=G*N= 1624.317 LB FV= O l +i W= 937.8001 LB WHERE G IS THE RESULTANT ACCELERATION {2*(Gl^2)+(G2^2}}^O.5 THE GREATEST AXIAL FORCE ON THE EOLTING IS DETERMINED BY SUMMINS 7

MOMENTS ABOUT THE X-X AXIS AND THE Y-Y AXIS.,

THE LOAD ON T'HE DOLT FURTHEST FROM THE POINT OR LINE ABOUT WHICH THE BONNET FLANGE

WOULD PIVCT IF FREE TO MOVE IS DETEPMINED.

} g';

?

4 d

,, 8;

~ i r

T. '

3 [:~ y Q.

,d ;&

1 j. r', =

s d-l.;-lQ l

f';

x:

s.

.. a, q ghp,i,g MMyn

%.~ g.r g

[,tM.<.h[4$') h

[';. ;

12 AQ# al p g' #.g.

4 4_, Q,i;;k, a'f.*- ( 4*'f. 4l

+,

4

' +,

t y,

y,,

g.,

gz r gg,37 -

,+

g.

b?

?$l

!! #hh b,'

^*.

Y^. ' ! h

,Y,

y, aj-g g mq y

,;q i

?

$0, he b

cann ne n n NT W A n i m N E d' d 'r J A W hid d L d G iu a % X X M s L & nAi h W h

BY T

UB CT:-4.00 IN GAM DIAPHRAGM VALVE PAGE B 3

.CHU IBY M idTE 80R: DUKE i'OB NO. N79-52207 THE MOMENT IN THE-X-X DIRECTION IS:

M(XX)=(FH*D1)+(FV*Z1)

=(1624.32* 6.12)+( 937.80* 2.91)=12669.8 IN-LB

-THE MOMENT IN THE.Y-Y DIRECTION IS:

~~

.r.

M(YY)=(FH*D1)+(FV*Z2)

,.p q,

.=(1624.32* 6.12)+(.937.80* 2.75)=12519.8 IN-LB FORCE ON BOLT A DUE TO' MOMENTS ABOUT X-X FX1=(M(XX)*B(X))/E2(A(X)^2+B(X)^2)]

7-

= ( 12669. 8*5. 51 ) / E 2 ( ( 1. 62) ^2+ ( 5. 31 ) ^2 ) 3 =-- '1058.2 LB

^

FORCE ON BOLT A DUE TO MO'MENTS ABOUT Y-Y FY1=(M(YY)*B(Y))/E2(A(Y)^2+B(Y)^2)3

~

( 12519. S*3. 51 ) / E 2 ( ( 1. 62) ^2 F (5. 31 ) ^2) 3

1045.7 L3 THE FORCE DUE TO A VERTICAL LOAD CN EACH EOLT IS:

FVi=0.25(FV)=0.25( 937.S0)=

234.45 LD s

THE TOTAL LOAD-ON BOLT A'IS:

FVT=FX1+FY1+FVi= 1058.24+ 1045.70+

234.45" 233S.39 L3 THE TOTAL SHEAR FORCE PER BOLT IS:

,s g'

S3=0.25*(FH+(FH*Z)/Z4)=0;25*( 1624.32+( 1624.32*4.001/2.75)

~

3

. = - 997.17 LB d

WHERE Z4 IS THE DISTANCE FROM THE VALVE VERTICAL CENTER LINE N

TO THE FURTHEST CAPSCREW AND Z=EZ1^2+Z2^23^-0,a.

4.,

'THE: STRESS ON EACH BOLT IS:

TENSILE STRESS-SIGMA M=FVT/AB= 2338.39/.2260= 10346.0 PSI

'L D SHEAR STRESS--TAU =SE/AB=

997.17/.2260=

4412.2 PSI

~

THE PRINCIPLE STRESSES ARE:

e

THE PRINCIPAL GT'iE3SES AT A-A SIGMA 1={(SIGMA M + SIGMA B)/2}+<(((SIGMA M + SIGMA B)/2)^2)+(TAU)^2}^O.E 11972.85 PSI

• Wh.le

=

-' SIGMA 2={(SIGMA M + SIGMA B)/2}-((((SIGMA N + SIGMA B)/2)^2)+(TAU)^2}^O.!

-= -1424.001' PSI J

,n

• ?

4

'4 Gl fi=;s h

.~,.,3OLT.,MATERI AL;. ASTM A193-B3

.YEILD STRENGTH:

'30000 PSI

g p Q@

yMi@

.y v

,. A ;2 -..

, ' > E "[" '

( Nf m.

,f,77%mpu '

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. y..,,, ig h; p.,.

, L l QQ.G..;, ".c;::m' ' h 1 Q&.. '.,m y;fp fi; ;7 nog.qg'i - W ~

2

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' ' ' < - ;f #.M y}t-% ::.gf,?f;r) 1.JM y

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") ATE UP T: 4.00 IN GAM DIAPHRAGM VALVE Pn95 5 6

CHKD.

R: DUKE JOB NO. N79-32207

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ACTUATCR-BONNET ADAPTER BRACKET ANALYSIS o

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ADAPTER BRACKET POST DIMENSIONS:

AX= 0.39 IN AY= 0.28 IN SX= 3.57 IN BY= 6.63 IN BOLT STRESS AREA =

.226 IN^2 SEIEMIC FORCES ACTING GN THE BOLTING FH=G*W= 1624.317 LB FV=Gl*W= 937.8001 LB WHERE G IS THE RESULTANT ACCELERATIGN C2+(Gl^2)+(G2^2)}^O 5 THE GREATECT AX!AL FORCE GN THE BOLTING IS DETERMINED BY SUMt11NG

'h i MOMENTS ADOUT THE X-X AXIS AND THE Y-Y AXIS.

THE LOAD ON THE

- s-20LT FURTHEST FROM THE POINT OR LINE ADOUT WHICH THE BCNNET ' LANGE WOULD PIVOT IF. TREE TO f10VE IS DETERMINED.

a J

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UR B M DnTEh_J h'

]R: DUKE rT 4.00 IN GAM DIAPHRAGM VALVE PAGE B 5

CHKD.

JOB NO. N79-52207 i b

.THE MOMENT IN THE X-X DIRECTION IS:

M ( X X ) = (FH*D2 ) + ( FV* 71 )

=(1624.32* 9.37)+( 937.80* 2.91)=17948.9 IN-LB 2

THE MOMENT IN THE'Y-Y DIRECTION IS:

M (YY) = (FH*D2) + (FV*Z2)

=(1624.32* 9.37)+( 937.80* 2.75)=17798.8 IN-LD

-FORCE ON: BOLT A DUE TO MOMENTS ABOUT X-X FX1=(M(XX)*B(X))/E2(A(X)^2+B(X)^2)J

- = ( 17948. 9*5. 57) / E 2 ( (0. 3S) ^2 + (5. 57) ^2) ] =

1605.4 LB FORCE ON-BOLT AD'UI TO MOMENTS ABOUT Y-Y

. FY1= (M (YY) *B (Y) ) / E2 ( A (Y) ^2+B (Y) ^2) ]

il7798. 8*6. 63) /[2 ( (O. 3G) ^2+ (6. 63) ^2) ]

1339.O LB

~

M

THE FORCE DUE TO A VERTICAL LOAD CN EACH BOLT IS:

FVi=0.25(FV)oO.25( 937.80)=

234.45 LB

'THE TOTAL LOAD CN BOLT A IS:

FVT=F X 1 '-F Y 1 + FV 1 = 1605.37+ 1339.02+

234.45=

3179.83 L3

-THE. TOTAL SHEAR FORCE PER BOLT IS:

S3=0.25*(FH+(FHnZ)/Z4)=0.25*( 1624.32+( 1624.32*4.00)/4.06)

A SO6.35 LB

=

'WHERE Z4 IS'THE DISTANCE FROM THE VALVE VERIICAL CENTER LINE

?TO'THE FURTHEST CAPSCREW AND Z=[Zi^2+Z2^22.'O.5.

-THE-STRESS ON EACH BO.LT IS:

TENSILE STRESS-SIGMA M=FVT/AB= 3178.83/.2260= '14065.6 PSI

~ SHEAR STRESS-TAU =SB/AB=

S06.35/.2260=

3567.9 PSI THE PRINCIPLE STRESSES ARE:

[THE-PRINCIPAL STRESSES AT A-A SIGMA 1=C(SIGMA M + SIGMA B)/2}+{(((SIGMA M + SIGMA B)/2)^2)+(TAU)^2}^O.

=

14919,9 pgI w M1 SIGMA 2={(SIGMA M + SIGMA B)/2}-{(((SIGMA M + SIGMA B)/2)^2)+(TAU)^2}^O.l

-853. 2"4' PSI

='

4

-q

...9 u

%.,f*k.

'f;

.J w

a.

J.p.4W~. c31 m.,.a, BOLT MATERIAL:EASTM A100-

- FROOF STRENGT!1:

36000 PSI

- Q.l[,,p/ ;

(

~f V7Ihy?]tg 7

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Nn s.s.wml Mh 'b&NlQ:.2 O)QU JW..:'1:lMlZ.[ %S 4l g,U,; V gfC 4c.;y

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if 1;g,,deh?f, Q

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_-TATF iU FCT: 4.00 IN SAM DIAPHRAGM VALVE PAGE B 6

.CHKD. D'($ BATE h0R: DUKE JOB NO. N79-52207 BONNET-BRACKET ADAPTER BUSHING ANALYSIS f

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4 s..c 4 MCT10se A*A MIMIMUM BUSHING SECTION OD = 1.5 IN ID = 1.007 IN SEISMIC FORCES AT SECTION A-A FH=W*G=312.60* 5.20= 1624.3 LD FV=W*G1=312.60* 3.00=

937.8 LB M=FH*D3+CV*Z10= 1624.3*10.69+

937.e* 2.91=20092.9 IN-L3 WHERE Z10 IS THE GREATER OF Z1 OR 22

~

CROSS SECTIONAL PROPERTIE5 AT SECTION A-A A= (PI / 4 ) * (0. D. ' 2-I. D. ^2) " 'P! /4 ) * '. ( 1. 20 ) ^2- ( 1. 01 ? ^ 2} = 0.?7 IN^2 I= (F I /64) * (0. D. ^4-I. D. ^ C ) = (P I /64 ) * { ( 1. 50) ^4- (1. 01 ? ^4} = 0.1980 IN^4 C=0.D./2=1.50/2=0.75 IN STRESSES DUE TO SEISMIC LCADING AT A-A 3 ;/4 TENSILE STRESS =SIOMA M=FV/A= 937.80/ O.97=

966.09 CS!

BCNDING STRESS = SIGMA 5-M*C/I=2OO92.95*0.75/ O.20= 76090.75 PSI SHEAR STRESS = TAU =FH/Aul624.32/ O.97= 1673.32 PSI t

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4 00 IN GAM DIAPHRAGM UALVE PnGE B 7

CHKD. BYg(:65 ATE 31' M"T;

ouKE cos No. N79-52207 g

- tTHE PRINCIPAL STRESSES AT~CA

^

SIGMA 1={ (SIGMA M + SIGMA B) /2}+{ ( ( (SIGMA M + SIGMA B) /2) ^2) + (TAU) ^2}^O.'E t

=

77101.16 PSI-c

~

O--

. SIGMA-2={(SIGMA M + SIGMA B)/2}-{(((SIGMA N + SIGMA B)/2)^2)+(TAU)^2}^O.

= -36.31641 PSI u....

s e

BUSHING MATERIAL: AISI 4340' ALLOWABLE STRESS 114000 PSI O

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,n s x r.;:A m o vwwl$rbi*]D &5LW'$?OU N $$?p'NA$$naw.; m w sp m .p m .v. ~ r: n ~. r a. hl'$I- + g s u c ~c p y ? y n g d % Q ' s caw ' wwg r. _ m= me v_ w ~ w

JATr( .-B B'ik h ? ATE $pT:.bOR: DUKE JOB NO. N79-52207

7 4.00 IN GAM DIAPHRAGM VALVE PAGE B B

CHKD. fs VALVE BONNET ANALYSIS + 4 \\ / FgV. i

• -0 s

.F H W 03 H -+m 1l 1 v di al && w SECT 108e A-A MINIMUM BONNET SECTION O.D.= 5.88 IN I.D.= 5.38 !N SEISMIC FORCES AT SECTION A-A. FH=W*G=312.60* 5.20= 1624.3 LB FV:-W*G i =312. 60 4 3.00= 937.8 LB McFH*04+FV*Z10= 1624.3*14.23-: 937.S+ 2.91"25S43.0 IN-L3 WHER2 Z10 IG THE GREATER CF Z1 GR Z2 CRCSS SECTIONAL PROPERTIES AT SECTION A-A A= (PI/4) * (0. C. ^2-I. D. '2) a (PI /4)

• C (3. 33) ^ 2- (5. 03 2 '22 -- 4. 42 IN^2
• @l I.= (FI / 64 ) * (0. D. ^4-I. D. ^4 ) = (P I /6 4) * { (5. 89 ) ^4- (5. 03: ' 4 } = 17. 5M 1 IN^4 -

' C =0. D. / 2--C. 82/2 =2. 94 IN GTRECGES.DUE TO SEICMIC LJADING AT A"A p.y; 'C Jn, nap s. ~<m .. t t% N5 LC STRES3:: SIGMA M=FV/A= 937. 30/ 4.42= 'I:2.07 PSI ,$ g "St!" '*4'?; DING ' STRESCnSICMA B=-M:+C/I=2524~. C042. 94 /17.59 ~ ;.w qm 4320.24 PSI! qTM h - W r@,c. 3 %k < y:.- ,e ie Q N >ekjg>?nAcy1 el R .. s.;, _.,.. - ...,, ~,. + ..,. ',. ' ;, p :+' c. ~ m. +e %#,3fffSfG'picSTRES3= TAU 5FH/A d24432/ J4 L A243672,343 PSl e.zdW1 x;$$ 'At%$4;. 71;$ i , - c, t., *. ' .-M A _ 0 m_ m-mmandassh2amaremmewaw "*=

.w' b', J.-.... ..: BY. sDATE 'D. T: -_'4. 00. IN GAM DI APHRAGt1 VALVE - PAGE B ? "CHKD.rB M DATES OR: DUKE' -JOB NO. N79-52207 v w(,... $DONNET GTRESSES DUE TO INTERNAL PRESSURE f fMDONNET LONGITUDINAL STRESS = SIGMA L=

+

r= PRES.*ID/(4*((DD-ID)/2)) ,, '.,4,72 =150.O*5.38/E4*((5.88 5.38)/2)]= 807.O PSI-

.;7

,"; BONNET TANGENTI AL STRESS =._ SIGMA T= y.s .s JJ 'M = PRES MID/(2*((OD-ID)/2)) '=150. O*3. 38/ E2* ( (5. 88 - 5. 38) /2) ]=1614. O PSI h (THb:!TOTALBONNETSTRESSESkikE: ,w 'q_: " ;9_: SIGMA Y'= TENSILE' STRESS + BENDING STRESS + SIGMA L =- 212.0?+ 4328.2+ 807.O=- 5347.3 PSI ' SIGMA lZ = SIGMA T='1614..O.02. ESI. ~- , w TAU'X-Y = SHEAR STRESS = 367.3445-PSI

THE PRINCIPAL: STRESSES CAN BE DETERMINED BY THE FOLLOWING EQUATICN D

M (SIGMA P)^3-!1*(SIGMA P)^2+I2*(SIGMA P)-I3=O WHERE: 11= SIGMA Y+ SIGMA Z=' 6961.328 -PSI 12=(SIGMA'Y)*(GIGMA Z)-(TAU XY)^2= 8493650 PG: 1 I3=~(TAU XY)^2* SIGMA Z=-2,177965E+08 - PSI s NOTE: SIGMA X= TAU XZ= TAU YZ=0 s . SOLVING.THE ABOVE ECUATION FOR-THE PRINCIPAL STRESSES: r SIGMA 1 = 5371.292. PSI SIGMA 2 = 1613.12 PSI ~ SIGMA 3 = -23.0G789 PSI BONNET MATERIAL: ASTE SA-351--CFS ^ ALLOWABLE 1 STRESS PER.THE.ASME BOILER AND PRESSURE VESSEL CODE SECTION III (DIVISION 1.. s* ak. -5. j2 ~ 's TABLE I-7.2 IS: 14S00 PSI AT 260 F 4 c. .x ..t - y. -S' f t n. r-O?d Q. SMkb -? ^ ., Q ?;' f,) 3 i.n. ry . e;. .y. ~.7.. e e. - - 3+n;yq mg.R i; . 4-: +-- r i t. .t -> pf .r.. y-* .w,. s 'n - ;;~... m x g y q;n k-:- El I"'- ,a i .hr <:- [ ', Y ~.,. 's .jfc m.'k# 5 h ~ h s %..,. n:i; w w ;: m :. M w B g M s f M W m' b,M a ~ W k y = 5 % % &u: s a M w a,l m?. n:.. y iM ,.; % y :mry; v. 3%: 4;w 8 -MA:ch vg;y s n* a% .,dYMk L ${h

[{!

I f[ g r, .mn n., _~.

m f BY jATE BJFCT: 4.00 IN GAM DIAPHRAGM VALVE PAGE S 10 Bikh]ATEMfDR: CHKD. DUKE JOB NO. N79-52207 BODY-BONNET BOLTING ANALYSIS . Zg - i = Mg 3 x3 % +X2+ \\ / W +x, + F e i 0y h .(,) Q, % _g o [ k "F 'l H W Gf ) o A J NggV+s ) Y3 o* p f Ya .s hn I x-x o f .ttttt Y-Y SECTION A-A /.i nn a PR($$unt BOLTING DIMENSIONS -X-X AXIS Y-Y AXIS I X(I) NX (I) Y(I) NY(I) 1 1.23 2 C.o1 v. a, 9 .n a./S o. e 3 5.81 2 6.33 2 4 7.87 2 8.19 2 f NUMBER CF BODY BONNET BOLTS = NB = 8 BOLT STRESS AREA = AB = .1519 + SEIEMIC FORCES ACTING ON THE BOLTING FH = G F-l'i= 1624.317 LB FV=Gl*W= 937.8001 LB 'dHERE G TS THE RESULTANT ACCELERATION C24 (Gl^2) r (G2^2)) ~ -'THE GREATEST AXI AL FORCE ON THE BOLTING IS DETERMINED DY CUMMING MOMENTS ABOUT THE X-X AXIS AND THE Y-Y AX18. THE LOAD CN n-!E - BOLT FURTHEST FROM THE POINT OR LINE ABOUT WHICH THE EON:1ET.TLANGE - WCULD PWOT IF FRFE TG 7'CVE IS DETERMINED. 1: an ',, ' d k$ 2- ' ; %2~ .lb$h[QQ g.'T,HE T'OMENT IN THE Y-X DIRECTION IS: ZQ; ~ Mh MtXX)2(FHhDS)+(NVAZ1)l .... ;3 d'/ A '.%:rva R [ fl[y ~ j.* $ 1b2

• 3251.k*]2)"" b 937. 30$ 2* 91) *2bMb3[O-jIN-LB a g ;3 m.. A,f k.i,W M ?!$a,g,e. d.

sur.dNNV', &mGv'pha:hWli&=ds+ 6

Thi h

di$kd 'v W a.:~j $y 4p y. n ,a g g. n; - a. ,. wr At .. m. gyg,y m m g u.,,jwoayz, a , =e. ym, g, gw~ g .cp:g. .. +.. n e

y 'l @y. d I BYk SA E-B CT: ? 4.' OO IN GAM DIAPHRAGM VALVE 'PAGE B 11 L CHKDUS @ ATE JR:. DUKE JOB NO. N79-32207 k iTHE MOMENT lIN THE.Y-Y DIRECTION IS: s w e 1-UM(YY)=(FH*D5)+(FV*Z2) i=(1624.32*14.92)+( 937.GO* 2.75)=26813.3 IN-LS L: s sFORCE;ON'BOLTIA DUE TO MOMENTS ABOUT X-X: ~

< #2

' FX= (M ( XX ) *X (IMA X ) ) / E NX (1) *X ( 1) ^2+NX (2) *X (2) ^2+... +NX (I') *X (I) ^2 3 f (.c JA 999,'1:LB g

=

v g-S,

g,

,~ - FORCE ON EBCTCT A ' DUE TO. MOMENTS ABOUT Y-Y M FY= (M (YY) *Y (IMAX ) ) / ENY ( 1) *Y (1) ^2+NY (2) *Y (2) ^2+... +NY (I) *Y (I) ^23 -y - ~ '950.8 LB = - - - s; x s .t, t 'T'HE FORCE DUE T(1 A VERTICAL-LOAD ON EACH BOLT IS: -FVi=(FV+(PRES *EFF AREA))/NB h J;{ -( 937. 3O+ (150* (PI /4) (5. 38) ^2) ) / 8= 543.47.LB LTHErTOTAL LOAD-ON BOLT A IS: +9 _ LFVT=FX1+FY1+FVi= 988.09+ 950.83+ 543.47= 2482.38 LB 9 s:

THE~ TOTAL-SHEAR-FORCE PER BOLT IS:

-$SB=(FH+(FH*Z*2/BCR))/NB=(1624.3+(1624.3*2.91*2/3.81))/8= 513.0 LB !WHERE BCR.= BOLT CIRCLE RADIUS = 3.8125 IN - - + - LTHE'STREOS'ON EACH BOLT'IS: ~ t- ' TENSILE = STRESS-SIOMA M=FVT/AB= 2482.3S/.1519=~16342.2-PSI ~ SHEAR STRESS-TAU =SB/AB= '512.99/.1519= 3377.2 PSI- "THE PRINCIPLE-STRESSES'ARE: N;.THE-PRINCIPAL STRESSES AT A-A 1-p- ? SIGMA.1={ (SIGMA M + SIGMA B) /2}+ < ( (SIGMA M + SIGMA B) /2) + (TAU) ^21^O.5 17012.6 PSI = . SIGMA'2=<(SIGMA M + SIGMA B)/2}-{((SIGMA M + SIGMA B)/2)+(TAU)^2}^O.-5 '= -670.3999 PSI y@' NA BOLT MATERIAL: gASME SA-453-660 fLLOWABLE STRESS PER THE ASME BOILER AND PRESSURE-VESEEL CODE SECTION III - DIVISION-L TADLE I-7.3 IS:- 203OO FCI AT 260 F 9 g I -w ") g., -w,;g* 1 .I -lg.h h? e s' ?N.y:M% Jgg* c;% m pu c

c. - -

' @ $w % y, .V pgG C-1 q ' ! - ' " 1. + m Qi N2pjy k g,ngh 67 gg % y j + m - - w g.a y w < w,. q u e s;7 % Q [ M d W%, iq yd M![gM[ ws 3 me-ww; m,w.

SY $) ATE UB.".T: 4.00 IN GAM DIAPHRAGM VALVE PAGE B 12 . CHKD.. D's M_J,4TE '3R : DUKE JOD NO. N79-52207 s f. (. VALVE DODY ANALYSIS \\ / r s. \\ m .---+ ~ AN me== L E-e= =s-=4E e = s. 3 SECT 1085 A-A s VALVE BODY O.D. AND I.D. A O.D. 4.5 IN I.D. 3.81 IN = = [Y 7A CROSS EECTIONAL PROPERTIEE AT SECTION A-A A.V.=(PI/4)*C(OD^2)-(ID^2)J = (PI /4)

• E (4. 50) ^2- (3. 81^2) ]=

4.503 IN^2 Z.V.=(PI/32)*C(DD^4)-(ID^4)3/DD

(P I /32) *E (4. 50) ^4-(3. 81^4) ] /4. 50

4.349 IN^3 n; ' VALVE FJODY MATERIAL: ASME SA-351-CF8 . ALLOWABLE STRESS PER THE ASME BOILER AND PRESSURE VESSEL CODE SECTICN III DIVISIGN 1 TO' LE I-7.2 IS: 14860 PS! AT 260 F J ATTACHED PIPING: SCHEDULE 40 PIPE SECTION PRGFERTIES: Ao= 3.17 IN^2 ZP= 3.21 ITJ^3 PIPE MATERIAL:3'.2 TP304 ALLOWABLE STREES PER THE ASME BOILER AND PRESSURE VESSEL CODE SECTION III.J. DIVISION 1 TA3LE I-7.2 IS: 17000 PGI AT 260 F RATIO OF VALVE BODY MET /',L AREA TO PIPE T1ETAL IJEA I'3 : . ( AV/ AP) -4 ( ASV/f4P) : ( 4. CO3/ 3.179) - ( 14860/ 17080:=1.2 . RATIO CF. VALVE 3GDY SECTICM 1GOULifS Tf3 PIT'E RICTION MT)CUL _1.;

U:

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y 1 ITT GRINNELL 4"-150f VALVE - ITEM 58-473, ROTORK 14NAL MOLMTED PERPENDICULAR *TO PIPE RUN AXIS -REVISION 1 0-FREE, 1-FIXED GLOBAL DEGREE,0F FREEDOM. Pillar Steel: SA 193, Grade B7 i N33E B3d434Rf CSN)fft39 C33ES NO3AL POINT C00R380 LIES NU40ER G V Z RE VV ZZ N f Z 1 3 3. 0 3. O. 0 0. ) 'l 0 0.3 3 ). 0.500. i 2 1 1 1 1 1 1 -5.F53 3.03). 0.303 3 1 1 1 1 1 1 5.T53 0.333 0.000 l 4 3 3 0 0 0 0. 0.303. 2.313. 0.000 l 5 3 3 0 3. O S 0.303

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3.000 i 8 3. 3 0 3 0 0 -3.120 7 20). 2.595 9 3. 3. 0 0 0. 0 3.120 7.233 2.595 10 3. 3. 0 3. 3 3. 3.123. F.238. -2.595 j 11 3. 3. O. 3. 3. 3. -3.L20 7.2)J, =2.595 12 5. 5 0 0 0 3 -3.120 7 953.- 2 595 13 3. 0. 0. 3. 0 0. 3.120 7.951.' 2.595 14 3. 3. 9. 3. 0 3, 3.L20 7.951 -2.595 j 15 3. 3. O. 3. 3. 3. 3.120 F.951, -2.595 1 16 0 3. 0 3. 0 0 -3.124 10.453 2.595 l 17. G. 0 0 3 0 3 3.120 10.45), 2.595 18 0. 3. 0 3. 0 3 3.120, 10.45). -2.595 19 .), 3. 9. 3. 3. 3. ..- 3. L 2 0 10.45). -2.595 { 20. 3. 3. 0 3 0 0 -3.120 11.238 l 2.595 DESIGN VERIFICAll0N d 21. 0 0 0 3 0 0 3.120 11.233 2.595 ,c5ENT l met'( (M A W j 22 3 3. O 3. 0 8. 3.L20 11.233. -2 595 ' JOB NO. U N -d 'O 23 3., 3. D. I.. 1. 3 -3.L23 11.233 -2.595 CALCIPROB NO. L'b-l4 i 24 3. 3. 0 3 0 0 0.303 11.238 0.000 BY: *M. DATEv0/0M 25 0 0 0 3 0 3 0.330 17 236 0.000 cHko: rt R DATErle8 J 25 3. 3. 8. 3. 0 3. -2.F50. 17.236 -24006 u n :cae 6,oh/03 2F L 1 1 1 1 1 233.303 230.038. 3.000 PPos. Em I

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> ITT GRINNELL 4'-150f VALVE - ITEM 58-473. ROTORF {1NA1 MOUNTED PERPENDICU N1 Pillar Steel: SA 193, Grade B7 SEAM NGOES M A7L PROP NS 1 J K NO NO. 1 1 2 27 1 1 } 2 1 3 2F 1 1 l,

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ALL UNITS REPRESENTED AS LR, INCHES SECONDS IN GLOBAL SYSTEM ,fg3>Q oa rn n_IfceEyy'.p n 1 i i i N3DE

• • • • • • • • • • • • • • • • --- RP' LIED L3405 3R MASSES==*.--------------

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. 8, l. m ITT GRINNELL 4"-150f VALVE - ITEM 58-473 ROTORK 14NA1 MOUNTED PERPENDICULAR TO PIPE RUN AXIS-REVISION 1 Pillar Steel: SA 193, Grade B7 ANALYSIS

SUMMARY

Max. Allow. Seismic Load (G) Allow. Restraint Load (1bs) MDDAL FREQ. CALCULATED FOR INCLINED OPERATOR STEM (1) (CPS) MDDAL TYPE RESULTANT OBE RESULTANT SSE RESULTANT OBE RESULTANT SSE 20.12 8 9.95 11.98 2436.76 2933.90 QUALIFIED BY STATIC DEFLECTION TEST 23.95 7 1225.0 5.2 32;57 s I

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i NOTE (I) Resultant applied perpendicular to operator stem axis. i -[_lbI.EH!FjCATION_ l* I . CLIEf4T 10f3ElAT JO B N O. C_L*] - Cl O CALCIPROB NO.lWA-D V: # E DATEh fiif l'- CHKD: 14hr? DATE:l', l' c a, e M .3: iR IF e IF ? .f ). sq y

--m-g B Frequency Report for Valves VQ2A and VQ16A .}}