ML20073A214

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Bellows Expansion Joint Design Evaluation Drywell Penetration X-25,Quad Cities Nuclear Power Station,Unit 1
ML20073A214
Person / Time
Site: Quad Cities 
Issue date: 03/31/1991
From: Damico T, Watson J
AEA O'DONNELL, INC. (FORMERLY SMC O'DONNELL, INC.
To:
Shared Package
ML20073A188 List:
References
NUDOCS 9104230102
Download: ML20073A214 (29)
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BELLOWS EXPANSION JOINT DESIGN EVAlllATION DRYWELL PENETRATION X-25 QUAD CITIES NUCLEAR POWER STATIOM UNIT 1 Prepared for COMMONWEALTH EDISON COMPANY Quad Cities Nuclear Power Station s

Chicago, Illinois 6069')

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onwzzwc oEncN e ANAL.YM RRVICES Section 1 - 7 pages Calculations - 4 pages Section 2 - 16 pages ut cunny Hot Low noAo PfrTSEURCH, PO(NSYL,VANIA 15234 -

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March 28, 1991 1

SMC O' DONNE!4 INC.

Fracture Mechanics Evaluation In order to perform a fracture mechanics evaluation, one needs the material fracture toughness, yiebi strength, elastic modulus and crack growth rate.

The number or stress cycles over a given time interval and the stress range essociated with these cycles are also needed.

The effect-of ad'erse environmental conditions is generally represented as an increased crack growth rate and/or decreased fracture toughness, as appropriate.

For the Quad cities Nuclear Power Station Unit 1 penetration X-25 bellows, we want to determine 1.

The critical crack length for a meridional (longitudinal,'

through crack.

2.

The number of cycles required for a meridional through crack 1.7 inches long to grow to critical crack length with a conventional austenitic stainless crack growth rate.

3.

The critical crack length for a circumferential through crack.

4.

The number of cycles required for a string of equally spaced pinhole through cracks to grow to critical crack length with a conventional austenitic stainless growth rate.

The penetration X-25 bellows gas a 1.7 inches long meridional (longitudinal) crack over one of its convolutions.

It has been replaced because of its excessive (137 SCFH) leak rate.

The

- largest crack in any remaining bellows should be much smaller than 1.7 inches based upon the leak rate test results.

This bellows has also been reported to have many smaller through cracks.

Most of these are pinhole cracks.

A review of the size, configuration and design movements of all penetration bellows indicates the X-25 penetration bellows is one of the most highly stressed, along with bellows for penetrations X-12,-X-14, X-16A and X-168.

The penetration X-16A and X-16B bellows have been recently-replaced because they leaked

. excessively.

Hence, the ponstration X-25 bellows, with its 1.7 inches long meridional crack, is believed to represent a worst case condition.

Work is currently in progress to evaluate the designs of the other bellows in detail.

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March 28, 1991 2

SHC O' DONNELL INC.

Material PropertiesSection VIII of the ASME Boil'r and Pressure Vessel code gives the minimum yield strength of 304 stainless steel as 30 kai and the elastic modulus as 28.3 x 10 psi.

Rolfe and Barsom,

" Fracture and Fatigue Control in Structures", gives the crack growth rate for austenitic stainless steel as da/dN = 3.0 x 10""

(aK) ",

where a is in inches and AK is in ksi/in..

A fracture toughness of 105 ksi/in. to represent degraded 304 stainless steel was calculated from typical Charpy keyhole impact test data in United States Steel's " Steels for Elevated Temperature Service" conservatively accounting for the difference between Charpy keyhole-notch and V-notch specimens and using the upper shelf correlation equation in Rolfe and Barsom.

Material toughness degradation was conservatively assumed to be similar to that resulting from long term exposure to temperatures above 800'F.

304 stainless is ductile at room temperature with typical Charpy keyhole-notch impact values of 89 to 91 ft-lb.

Room temperature impact values are significantly lower when tested after long time exposure to temperatures above 800'F.

Although the bellows have not been exposed to this type of environment, it was judged conservative to base the fracture toughness on the 47 ft-lb typical Charpy keyhole-notch value af ter 10,000 hours0 days <br />0 hours <br />0 weeks <br />0 months <br /> at 1200'F.

Loadina The number of stress cycles for which the bellows have been rated over a thirty year lifetime and over one plant cycle (eighteen months) are:

30 years one plant e :le 20 pressure cycle o to 65 psig range 1

20 pressure cycles -48 to O psig range 2

4900 pressure cycles 4 psig range (13 psig) 245 4900 lateral motion cycles 0 to 1.785 inches range 245 or lateral motion cycles 0 to 1.0239 inch range Since internal pressure is positive, the -48 psig local leak rate test pressure represents external pressure applied to the inner ply of the bellows.

The outer bellows would be subjected to a

+48 psig pressure during this test.

It has been reported that the actual number of lateral motion cycles due to temperature transients is equivalent to about forty per plant cycle.

This analysis conservatively uses the 1.785 inches lateral motion based upon the accident condition which brackets the LOCA.

Note that although lateral motion and pressure stresses are calculated

i M2rch 26, 1901 3

SMC O'DONNELL INC.

for the worst case inner ply of the bellows, outer ply lateral motion and pressure stresses would be similar, calculations are also repeated for comparison using the 1.0239 inch lateral motion based upon design operating cycles.

Seismic events are not explicitly considered in the analysis because the bellows stresses associated with such events are small relative to the conservatisms in the calculations.

Meridional stresses are stresses in the plane of the bellows convolution shell including both the axial and radial directions.

Meridional stresses tend to open circumfarential cracks while hoop (circumferential) stresses tend to open meridional cracks.

These are illustrated in the figure on page 7.

The per cycle stress range associated with each of these loadings was calculated using equations in the 1980 edition of the Standards of the Expansion Joint Manufacturers Association, Inc.

The large range test pressure cycles were combined into cycles from ~48 psig to +65 psig.

The meridional stress ranges are:

pressure cycle 113 psig range 18,200 psi range pressure cycle 4 psig range 650 psi range lateral motion cycle 1.785 inches range 85,000 psi range lateral motion cycle 1.0239 inch range 48,800 psi range The stress ranges indicate that crack propagation over one plant cycle will be driven by the 245 lateral motion cycles since the low pressure oscillations have a very small stress range and there is only one 113 psig pressurization cycle.

The range of circumferential stress for these cycles are:

lateral motion cycle 1.785 inches range 75,000 psi range lateral motion cycle 1.0239 inch range 43,000 psi range The 75 ksi and 85 ksi stress ranges are more than twice the 30 kai minimum or the 32.2 kai typical yield strengths of the material.

This indicates the first half of a lateral motion cycle will exceed yield and produce some plastic deformation.

Subsequent lateral motion cycling goes between an elastically calculated ~37.5 kai and an elastically calculated +37.5 ksi for a meridional crack and between an elastically calculated -42.5 ksi and an elastically calculated +42.5 ksi for a circumferential crack.

This is not unexpected; the EJMA Standards state, "The major stresses in a bellows result frob the effects of pressure and deflection.

Normally the deflection stresses are higher than pressure stresses, generally above the yield point of the bellows material, and are meridional."

The bellows fatigue curves for austenitic stainless steel in the EJMA Standards state, "These curves are intended to predict average fatigue life at ambient temperature for austenitic stainless steel bellows which have not been heat treated.

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KQrch 28, 1991 4

SMC O'DONNELL INC.

are considered valid primarily in the range of 10 to 10' cycles, due to the limited data available for the very low and very high cyclic ranges.

The equations are of the form provided in 'Desicp1 of Pressure Vessels for Low Cycle Fatigue' by D.

F.

Langer, ASME paper 61-WA-18.

The constants were modified to reflect the experience of EJMA members for bellows fatigue life."

Using the 85 kai total stress range found by design equations of the EJMA Standards with this curve results in a prediction of 1.15 x 10 cycles of operation.

Critical meridional throuch crack lenath The critical meridional through crack length is 4.991 inches.

This value is much lower than one might expect for such a ductile materini, reflecting the conservatism of the fracture toughness used in the calculation.

It also reflects the conservatism of the 1.785 inches lateral displacement.

The critical crack length using the 1.0239 inch lateral displacement is 7.799 inches.

Number of cycles for a meridional throuah crack 1.7 inches lona_

to crow to critical crack lenath Using the same conservative input data, there are 363 lateral displacement cycles between 1.7 inches and critical crack length.

This is about one and a half times the 245 design displacement cycles in one plant cycle.

The increase in crack length over a plant cycle due to transgranular stress corrosion cracking is shown on page 6 to be no more than 0.1864 inch.

If the fracture mechanics calculation is repeated using an augmented crack length to account for this growth, there are 316 lateral displacement cycles between 1.8864 inches and critical crack length.

This is about one and a quarter times the 245 design displacement cycles in one plant cycle.

Note that the bellows with the. meridional crack 1.7 inches long is being replaced because of its 137 SCFH leak rate; the largest meridional crack in any remaining bellows should be much smaller than 1.7 inches and require even more time to attain critical length.

There are 2,771 lateral displacement cycles between 1.7 inches and critical crack length using the 1.0239 inch lateral displacement.

This is more than eleven times the 245 design displacement cycles in one plant cycle.

Critical circumferential throuah crack lenath The critical circumferential through crack length is 3.886 inches.

This value is much lower than one might expect for such a ductile material, reflecting the conservatist. cf the fracture toughness used in the calculation.

It also reflects the conservatism of the 1.785 inches lateral displacement.

The

M3rch 28, 1991 5

SMC O' DONNELL INC.

l critical circumferential through crack length using the 1.0239 4

inch lateral displacement is 7.799 inches.

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l Assessment of a strina of einhole cracks one additional issue will be addressedt a bellows convolution with several pinholes equally spaced along its entire circumference.

This calculation conservatively assumes that they are larger and far more numerous than have been reported.

Each pinhole is conservatively considered to be a through crack 1/8 inch long.

The stress intensity factor for a row of equal length collinear through cracks was obtained from the Handbook of Stress-Intensity Factors for Researchers and Engineers published by Lehigh University.

The variable coefficient of the stress intensity factor depends upon the size, pitch and the number of cracks.

Since parametric curves are provided for this coefficient for 3, 5,

7, 11 and an infinite nuder of cracks, the coefficient was obtained from the curve for an infinite number.

Although, an expected, the critical crack length for this case is smaller than for a single crack, there are 2,077 displacement cycles between 1/8 inch and critical crack length.

This is about eight and a half times the 245 design displacement cycles in one plant cycle.

There are 13,225 displacement cycles between 1/8 inch and critical crack length using the 1.0239 inch lateral displacement.

This is about fifty-seven times the 245 design displacement cycles in one plant cycle.

Conclusions The precrding extremely conservative calculations demonstrate that using a bellows with a meridional crack 1.7 inches long through one additional plant cycle would not result in its catast.rophic f ailure.

They also demonstrate that a bellows conve,1ution with several 1/8 inch long " pinhole" cracks equally spesed along its circumference will not fail catastrophically in ono plant cycle.

Slightly more realistic. calculations using the 1.0239 inch lateral displacement show substantially greater margins to failure.

Local leak rate test data are much more useful to quantify the extent of cracking in the bellows than dye penetrant examination results.

Since only the outer surface of the two-ply bellows can be examined, the dyo penetrant test can reveal nothing about the condition of the inner ply.

9 4-M3rch 28, 1991 6

SMC O'DORNELL INC.

Transgranular Stress Corrosion Cracking Corrosion is an electrochemical process; " electro" because an electrical current is involved, " chemical" because a chemical reaction occurs.

Stress corrosion is the initiation and propagation of cracks under the simultaneous influence of stress and corrosion.

Chloride cracking of austenitic stainless steel is a common example.

The-form of stress corrosion cracking can be intergranular or transgranular and the cracking is difficult to detect.

Despite e

the large amount of research which has been done, particularly on stainless steels, no agreed upon mechanism for transgranular stress corrosion cracking exists.

Based upon Appendix-A to EPRI RP-5064S, a conservative value for chlorideswouldbe10'propagationin304stainlesssteeldueto stress corrosion crack m/sec = 10~'mm/sec.

Data presented for

~

sensitized 304 stainless steel in EPRI RP-2293-1 (not yet issued) shows propagation rates in the range of 10~'

to 10 mm/sec.

The

~

steel in the X25 bellows should not be sensitized since its design temperature is only 300'F.

Using this conservative crack propagation rate, the increase in crack length over a plant cycle-can-be calculated (10 "m/sec) (39.37 in./m) (3600 sec/hr) (24 hr/ day) 4365.25 day /yr) x

~

(1.5 yr/ plant cycle) = 0.1864 inch / plant cycle This implies that a crack 1.7 inches long would grow to no more 4

than about 1-7/8 inches over one plant cycle.

Note that this calculation tacitly assumes the bellows is continuously loaded above the stress corrosion cracking threshold throughout the plant cycle.

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d + W

=

l 7 " + 1.125 dp = l8.I25" = piM dianehe d conyo/uHon

sneer NbJoif G STANDARDS OF THE EXPANSION JOLNT MANUTACNRERS ASSOCIATION, INC.

C.I 4.1 (continued)

\\. )*

  • N" CON V.

t g_

\\h v

j u3 r

m eF Mr 7

~ '

4

_' y, f

N,..j FIGURE C4 i

i

' N" CONV.

f*1

( c /.

+

/M.

_UM^t w-g

-,1

-(* 'i)-

/1 ll'

]

l/

/

M, N

l',

i gI p

v w

l a

L.x.L..x 9(,,7);r-

./[

LX F10URE C5

@ Point of appucation of externsi forces and moments.

e Expansion Joint Manufacturers Association. Inc.

SECTION C / ISSUE I / PAGE 55

SHEET NO, fWj \\

STANDARD 6 0F THE EXPANSION JOINT MANUFACTURERS ASSOCIAT10N, INC.

(l

- -+

BELLOWS f)

Q D

h W

l COLLAR t_

.-.l _

e "

J Q

Q V

L, n

m

,c

-. l +

1 g

TANGENT r

UNREINFORCED BELLOWS d

FicuRE ci6 Dio.

lq REINFORCING RINGS Af

-q+

r+ A A-A p

i EQUALIZING RING l

L A'y

(%

A A

[NG o

s 4

/

/

l

\\

\\

- /

-te Ar

-- A r t

d REINFORCED BELLOWS

Djo, FIGURE Cl7 s

e Espansion joint Manufacturers Association. Inc.

SECTION C / ISSt;E I / PAGE 91

$NGINEERING OESIGN & ANAL Y$l$ SERVICES SMC O'DONNELL INC.

PtTTS3USOM. PENNSYLV ANie 3

av AD oAre 7-//* U-sussici Be//ows Expusiox Tiix/ su,tr no. L o,16 j

CHKO. 8Y M. DATE 3b8/91 MES/va Eve /uabea

,nos.no. 2 M r

-Q c'ypS yyjf f, pgy,g.)5 i

l

. Bel /ows Movenewh l

m le//ows sal, lalen(, sed eup/s< novemah

.are Me reu// of relahk defleeboks de fwew A.

~

deywell auL pcxe/nhba pi i:q at

//}e. Je.//ows p

i L

assently cmec/su.p ow /s. As sw h th e.

-hll on paje. 2, de//ows novenw/s luve.

i Leen conpakJ for k represwh/ne. drywe//

pressare. / fenperahre codiWosi.

~~~ ~

cases Iad 3

ArecM Se accNed

\\

es" dibs (L.0cA, efc.), Csse 4 repre.seeh fhe-

[

~

Nornal operafiaf cediNons (Me. pressure. nny sehull de detween - 2 h +2.psiy ), wAila-y Case 2 is cosdinoes he m iWemeda/e

-/enpc<afare frusieuh 7he be//ows desiga is erskafed for fdiyac.jssed ox & conservatin asswpfion fhal k accidext cwa'ihbes act hr

/Ac fu// m<nlar of specified toadby

cycles, cycles.

7At ae/ul cycles wi // o c cu, af cxu/ifions sini/se fo Mose for Cases 2 sad 4.

i T

e..i,

--.-ow.-*#,..w.eme.,,+-eeve-%w~.-,--,4-...-,<,-rm-...-tm we,--e--w,---,-w,%.,e--

c.,

tw

,-w-wa+em.,rm,

.-w..e-,m~.~--.,-.-n--~re-e-n,wew-w-,,--,r-r,-vv.,v#ww-r4,.e-ww.ww-rww~.v e r ww-e

-e-.e-

i ENGINEEhlNG DESIGN & ANALYSISSERVICES SMC O'DONNELL INC, m neveox.nw~ m.vam.

3 *//~ /

f!!MS

  1. N# #

/#

b OATE SUBJECT

$HEET NO.

OF BY -

CHKD, BY db ATE 3h9/98 bd 3/fN bVA!#4! 08 PROJ. NO. iib 5 D

=

l

. - - GCivPS t/Nif 1, Pex,X-25' Co/d Sprins Movene.nfs :

Ax apjal p.goyene.g/ y ofj4" du h nisalifanesf af l

fin has o)= wsl,osHou is,oe,m/k[Ly //ie specikafion.

The, dellow.s ASSeMdl bc tv di c/ininal'e auf Sr7%ee j

~ i t b I Mo vede.H l5.

lhNc.e.,fbe oxial MoVeneMlper cokvoldion

~

a, l

/5

)(

0' ZF r

/

= 0. 0/25*

Conpre ssion er lessieu 8 x

=

2N 2.(./ 0) 77wef ore. Ao awfu/se novenekh e specified.

Cg. = 0 k'

= 0 2.N A /sfent novened y

oP l/8 " is allowed by A.

~

~

i speci-fickfia h nisslifume/ at A Ane of hsh//ai%,

K d,y otest a,at a,<anist

'1, 2 N (l -C :h X/2 ).,b,c,o,nvo/ulion he4 p

1 laferai nove"edy L

32,

= /' 78

=

2.C 2(1")

3L'-3 cL 3(32)*-3(9)(32) g

= 3 L '-(, ct. + 4 C '

, 3(32) *-(,(9)(n) +4(9)'

.. g

=.j, 3 g y

assunwg &

oxial novend X ach h contress B

Je Lellows, wc frud l.32-(18./25)(0.125) gl, 2(l0)(3 2 '- 9"- 0.15/2) ey = 0. 00(o5 "

ENGINEERING DESIGN & ANAL YSIS SERVICES SMC O'DONNELL INC.

Pittl8U m 0 H. 84 NNlv W a hia gy 3 2)

DATE 3**// / SU6 JECT _ (!!P_W5 d88/ M

/N

$HEET NO.

OF

/[ Eve /44a//oeenoa. No. 21.4 >

CHKO. BY~ dANDATE M2C/W_

D f5/cu

. - -..... - -- L GCMPs t/81f 1, Pest. X -

~/hr L$e c h of C.DMbtHed /-10 /CN CN h OYC C afCR f4 blik as A//ows :

Oc 'C y 4 6 4. + e.x

, CoMyrCSS/0W e

= 0. 004 5 " + 0 + 0. 0125

0. o] 90

=

c y f Ca - Cx, ex fCNSION

&c

=L ce.

= 0. 00 65 " + 0 - 0. 0125* = - 0. 006 0 "

~

Desija Mo/entah

( Cast L) :

X=

0 6x =

0

-GL 0

=

e, =

0 y

=

1.66 "(in sant. direcHon as cold s,orwg )

l. 32.(/f./25)(/,64 e 0./25) gl 2(10)(32 0.25 /2 )

y = 0,0933 "

e GnfweL Opea hkJ frovennf5

0. 0933 "

ce= 0.0133 + o + o

=

0.0 933 "

e

= 0,09 33"+ 0 - O

=

e Contwel bid Synag 7

Opernhag Mo<em8+ Range-ec (ccM sprwy) + e (cperadtkJ)= 0.0190 TOM 3$= 0.ll2"= 6

\\

s 6s (ccM spew 3) + 6e (cgroHy) = ~0.006 +0.093$c0.0873"

ENGINEEn/NG DESIGN & ANAL YSIS SERVICES SMC O'DONNELL INC.

PtTTSCU2OH. PE NN$ v6v ANI A 3 * //~ N/

!#NI A##3/

/#

SHEET NO. k av 7'A D DATE SUBJECT OF CHKD.BY YDATE I!? M"> /

[JdS/vN dV4[4Ab/o8 PROJ. NO. 2 / [.' $

OCN R Unif 1, Pen.X-25 Destya Sfress es

. Bellows CircunferenHal Menlinne. shess pue.h

-. Zu kra d Press ure-

~

S'= P4, 1

2n &p 0.571 + z w/g i

~

h = 2 plies f- =

0. 0 40 "

c 17

\\ Y2-f=t(gd_,fz

0. 0 +o

= 0. 038 7 "

y

,j

, g,,

=

P - Ss psi 65(/8./25)

^l

\\_

- 5' - = 2(z)(0.0387)0 57' + 2(l.125)/0.9)

S

2480 psi ' S = 14,100 /si @ 300 */

1 A

Sellws fleridiosa L 1%%e She.ss th ;4 Infemi Pr e s s ure-W s'

=

2n tp P = bs psi 5, =.

6 5 (l.125) 2(2-)(0.0387) 53=

472 psi 4. Sk = ] 6 f 00 psi @ 300 'F

~ loeal

-lhwniay o/ 6c. de.//ows wa// Mic/sess he-A corros;ou das 80f Acw dse<<ed.

ENGINEEPING DESIGN & ANAL YSIS SERVICES SMC O'DONNELL \\NC.

1 I

eit n evaa n.

tuu m vasia SHEET NO. N 0F f b TM DATE 3 */I'9/ SUBJECT bf!!

  • 3 b 84#I ##

M BY I

bf5/#N V4!/M /4#I PROJ. NO. ) I b 6 IDATE2/20/9 CHKD. BY Scars n)1, Pte.X-25 Belloiss hevidional Bendwg Skss Du. h Ishrwd P o e.

s+ =.2- (t )'cp zn.

p C,, = 0,73 fvon ETMA Fipre.

c]e

-he f- =

  1. ' i

=

0. 4 2W 2(/./25,)

09 f

= 2 L flit.125Xo.ost7) o, 4gg

=

2.Qdp ty 54=

(073) 5+ =

l0,000 psi 0,35 Sp = Ssoopsi < SA = l$,' f 00 /5 0 3 0 0 'E Bellows Meridiwd Meubrue shus M k D&lahm 0 k' 5' = 2w'cp C f = 1. 5 fnn ETMA Rgare CI1

[f = 28, 3 x lO 'ps i 18.s X 10' (0. 0 387) (0. ll2) 3 2 ( /, / 25) 3( /. 5- )

5 5, =

1110 psi

b' ENGINEERING DESIGN & ANAL.YSIS SERVICES SMC O'DONNELL INC.

l mrnovaos. n n~ m vama Md 3 ~//~ 9/

ht/ic4/J Expostiou T -/

neerno.//og M DATE SUBJ,CT S

ey

?

CHKO.8Y d Ml4/DATE 5/2r/si Desau Ers/ut//ou pno;. no. 2 /6 r

~

l

-GCNPCt/MO'1, Pex,X - - -..

' Bellod ff.eridlosa( BesAwy Sk.ss pa -/o De.fbeNou l

~

...-.L.= _ r E4 6 c s

l

-3w L c.'L l

Cg

=

l. 6 hver

.E7M4 Figure.

c 2.o 5'L 22 3 A lo')(0.03 97)(0. //2 )

)

... -. s g =. -

3(I./w)*(/,lo) i r

5s =

101,000 psi 4

Ts-hl Meridional Stress 7?ssy. :

.-.. -. - - - S.t = - 0 7 ( s, + s ) + ( s. + s e ) -

~ -

s

= 0. 7 ( 4 72 psi + to,coopsi) +(ltIopsi+ 101,ooopsi)

St St =

109,ooopsi hnperahre correc tion he hr for h//ow.s 7? = hhja. Ufe.

~"

~ T/~ = ~~(Su cold + Su hof lyhea cyclic novexist occurs 2 Sa cold at varying fenpsrahres da

-h-Arnal upaasios.

... _.. S

= alhnah ha.sile sfre.ajfA (nwmun yo/m are.used) u L coli = 75,000 psi at 70'F Ovon knperslure) i Sahot = lo1,000 psi a f 3 o o'F ( accidex/ -}enyerafare) jp

=

75,000 + GI; 000

=. o, 9 j 2(75*/ 00o)

..-.n.

4 i

ENGINEERING DESl0N & ANAL YSIS SERVICES SMC O'DONNELL lNC.

PI YT &SU RGH, PC NN&Yt,v ANs A 7'A D e47,3-// 9/ susacci 3t//045 E o nessa J3/4/

ss,,7yo. 1 0, /6 sY CHKO. BY-MN DATE 3218./9!

dtS/9# 8Va[#A//oM PROJ. NO. 1[d 5

., $cNRS 'yx,f f - pey,x.25-Ne = Nun}er of cycles, f failure.

l. M x to ' 7~+ \\

N f4y}

for unreinkr *.{ l>ellom e.=

T.+

3 f.ebx /O'(o.91) j l

N' lof,000 -51,000 i

I~

^'= J.15 xto" Ne 8

Nole Hiaf }he acfuai sfress raufe S

he Me g

dale.ral mvenea& cycles should not include /he s/ress rosje clus b hish//a fion nisahjaneu/s. 7hre Are,

~

-/he 4 flee.h ou ranye. is ey = 0. o 9 s.s " an d,

- - - -5g = (sg + si ) 'g' - = (111o + 101,000),0;,0]1

~

Sg

= 85000 psi llli3 shtSS raNfc wlll At used to 7%e /~ roc / pre flecAoniu Evaluation he crifical rac. of circunferedial crochs.

L.im/i8f

.Desifa Zn/erno/

T+ essure Ps Bosed ca Colunu

.Z~uslabi/J,< ( 5 airn) - Bo M Ends ol' Be//ows ue Ridjidi, 7

Svjyortedt o.3 7r [iu l

Ps

=

2 Nr[fM

f;

= de//am %'flouy,isq ra/e.

S = l. 7 t

p c cou v.

fn -- 1,7 (It.)2sT)(28.3xio ')(0.0387),(z) q300 /ffy i

=

(l. It s') '( /,5) p, _ -(0. 3 7f (4 7,300 )

20)'(0.9)

Ps = /2 + fsi > 65 psi, OK

h ENGINEEQING DESIGN & ANAL Y515 $EQVICES SMC O'DONNELL INC, 2

Ditt SOU R 009. PC NNS Y Lydfeld I

7~A D 3 "//~ /

BY

_OATE SUBJECT. f OWS [ModNJ/0N M/Nf-SHEET NO. boF b cuno.Br lblL') oATE 3 /2?/ 91 DtSIGN Nv'lH lON rnos. no. - 2/65 l

f) Cyp,S'gy// f ' Pen, X-257

=. -.. -.

Vibr fion a.

i

-.-.Z~k lowe s f. Mafaval frefMtNef.f for a UNIversa l f

expension j'otaf

/s for osO/ m Non.

f

=

4,43

!'R 1

y fia oye,,f(,,, af,,,.;

,,fe.,,e l(,, -

N one siHows 4

l J's, = 42300

= 4730 /fg/ja

~

10 W

=

wdj H of ca.nhe spo,t pipe plus waij)t of one hilom

~

' * ~ ~

W

= f (1s *-17*)(14)(o.283)

+2 7r(1o)(0.19}(0.o+o)[(/12s+/7)(y)+f(11,2g.i7 )]

  • 1 W

=

109 /bs + 27/ds W

=

1 3 (o /b s enn 1

136 i,C,.=.g 5, j

); g,

A // o M er safaval feepeueles for Me. Usivenal Expansion J~o/Nf, in cluoj hferal whraf-ion nodes, hi k< &H f.i.

j at lessf a nul/yla.

l ore.

Af a xa/aral frey// Lt.uiucy of 25. I he. h thivers Expansion kf wi ecfed upon dy //#/e nore.

Man av accelmHo# applied -h it 4 Me Drywe//

7

)

ENGINEERING DESIGN & ANAL YSIS SERVICES SMC O'DONNELL INC.

\\

nets:vaos. n~~mva.

BY DATE *!!* f/- SUBJECT WI Df NI ##

C/#

$HEET NO. b F O

CHKO. BY$lYDATC 3l1091

_ bCS/4M $YAlN A bl0N PROJ. No. ?$5 QCNPs' UnN 1 - Pen. X-25 wi// de. esse 8haN

/be zero period MweMek/s wiric/t y

acceleration for 9Ae. &ismc. sose..

Loads achus ca Me.

~~

~ ~~Umverul Expwsion 76,~ + s%. A axial surm*c. pyiny novuuah ni// Lt.

cserdd A, /Ae Ne rods, w/,ite

./de<.d seknie. pipiy nonneah wu/ k. snaH auL easily absorbed at low s/ress dy

/A c k//om.

For examle,,ashg a-greaH exajgeraded horizon /s/ acceleraHon y

af Jg, a

de//ows cwo/aNoa wiH deHe.cf sna#,

7 e

= (1)(W){l/fia) x L

= (1)(13G)(1/47300) = 0. 0027 "

~

7h Je//ws neribosal kadig shess hr M ddkclion h

onl, y

b S, = f Ebfp

.x

,__ 5(zg,3xl0 )(0.0387.)(0.00211 e

3 w ' C. L 3 (t. iz g) 2-(1, f)

S = 2600 psi

i' LN0lNEERING DESIGN & ANM YSIS SERVICES SMC O'DONNELL lNC.

j armvac a. nw=m.vania 3*23'f/

OW bfdM #N oi

$HEET NO. ! OF !b i

sy DATE SUBJECT -

l CHKO. BY MY TE 3/t F/9/

- M6Sl1N Eva/ueflow pno;. no, _2/u DA

-- 0CNP$ Vxit1 pen..X-25 Tofal Circan feredial Shess Rasp :

l To e vsluafe yowM rafes fw necidious/

L

c. racks, Me ci<cadferedal sbesses nus/ Ac.

l Kwow.

k E7M4 Sloadarh base, des ;bsifx ealaaluxs,ormae17 os -A nerdiosa( :feesses 7

l hesne. e ey are sonewlaf h)Ae

&~ Me ciecmferen&t shesses.

Tierefore,.5hess vs/us fouxd Ly usw9 Me j

~"Fixai Paport oasie Duelopnest of ha/ ficsI 77chjaes

~~

7 hn-Be/kws sud.~DiapA<ajn Desija,"AFRPL 7epnf No.

TR 4e-2a, /1 orch in e

/>y.7~M. 7esik'er,ef. sI.,

ased

-b sup,oleiunt

//te 5371A sfress a/ites.

a re.

7Xt Ie//ows circwfereu/ial Mendrwe. shess du.s h Ai/ereai pressure fales by oxe ply, S = +9topsi,

~

2 y usiny

-Me ETMA

.Sfandsch.

{

~

is found b

TAe.

Le//ows circarfereuf4/

nenture. rfress duc.+

i He..l.66 Avch. cyclic laferol noveiresf & fpund b usik3 y

ide, appropn'sfe. figure. in He alove. lefiresce as fo//ous:

E

~~

cc,,

=

ey b

Cg

/00 f 4

cr

=

0.0133(22.3x/0 ) (j 32) sm 100 (0.4) s Cfsm

= 3:1,700 psi

--,,-nen,-- +, - -, ~.

-.--~.,-.---,n.-~-n-..,--..---,w_,.--..,-n.-----~na....,--.-n.-,,..

v.w,---

-,-.em.,v.,..,w,--,v-e,----

1 (NGINitalNG oESIGN & ANAL YSIS SEnVICES SMC O'DONNELL tNC.

M TTSOUROM. Pt hN5 yt.v4NI A er _ TA D orre 9-23-9lsuDater Bellows Exptasion Dial gut,, no_ Lo, /&_

CHKO. Dr r ll0l DATE N2Pl'2.l SC 3/0N SV# N'bl0N Alh5 PROJ. NO.

GCNPS'Unif L Pea. X-2Q,,

M de//ows ci<cunferexlial deNEvf 3Uresses ak h w/crua(, ore 1sure /aken b we pl and hhrd novenext a<e smply y

y

~ ~ ~ Toth oa 's rafio Ono.3) Mikes ne conespoudiay ne,i4 oust kling s+ress es :

cQ=%S4 03 (2 M ioj ooo ) = f ooopsi

=

crg = v Ss

= 0. 3 ( f o 1,000 ) o#j,'l$= 2% 200/Si

~

~~

1his resulh fron the.

hef /4af ac Ji//ows xa sk// of revo/a fios, for whic A ro+a/ises w ne synndry acudiwat sedious see.

suppressed 4,// csng u if Ae sla.//.

Swee /Ae. k//ows sk kely in -//ra plove, a coadrammy Wmui.wmui occurs.

treH iaY Shr& 53 rQNjl

/3 W

b C/f'CKJ4 sie = ns, 4-g e g + g Sie = 2(24eo)+3g,7x + f oco + 25,100 Gie 75,,0Cof5/

~

73is dress range wi// k und 14 ne Fra dure.

Mecltaaics Eva/ufion

/m grvwfA rs/e.s of neria'ionsL cea c ks.

1

-

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