ML17255A391

From kanterella
Jump to navigation Jump to search
Rev 0 to Seismic Qualification Rept for Waste Holdup Tank at Re Ginna Plant
ML17255A391
Person / Time
Site: Ginna Constellation icon.png
Issue date: 09/30/1983
From: Anagnostis S, Djordjevic W, Tseng T
STEVENSON & ASSOCIATES
To:
Shared Package
ML17255A388 List:
References
NUDOCS 8309160284
Download: ML17255A391 (88)


Text

SEISMIC (}UALIFICATIONREPORT FOR THE WASTE HOLD-UP TANK AT THE R.

E.

GINNA PLANT Prepared for ROCHESTER GAS 8 FLECTRIC COMPANY 89 East Avenue Rochester, New York September l983 Prepared by STEVENSON 8 ASSOCIATES 458 Boston Street Topsfield, Massachusetts 8309160284 830913 PDR ADOCK 05000244 P

PDR

0 J

CERTIFICATION The undersigned, a registered Professional

Engineer, competent in the field of component stress analysis, certifies that to the best of his knowledge and belief the analysis calculations for the subject tanks as presented in this seismic stress report comply with the provisions of the applicable portions of the ASME Boiler and Pressure Vessel
Code,Section III, Nuclear Power Plant Components and standard acceptable engineering practice.

Components:

Horizontal Maste Hold-Up Tank Plant:

R. E. Ginna r~

o+

Ylalter Ojordjcvie Q

Civil t(o. 3049s, rrJ lrl++4 v7TfV~

/

Wa ter d'or eye Commonwealth oF t1assachusetts No. 30495

-1 1-

SEISMIC QUALIFICATION REPORT FOR HORIZONTAL WASTE HOLD-UP TANK AT THE R.

E.

GINNA Pl ANT Revision 0, September j983 Prepared by r.

s>->> ng seng iewed by tep en nagnostis, rogect anager Approved by a

gyr.""

or gevsc

-111"

1.

INTRODUCTION.

TABLE OF CONTENTS

~ae 1

2 ~

RESULTS o

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~

~ ~

~

~

~

~

~

~ ~

~

3 3.

LOAD CRITERIA AND FAILURE MODE ASSUMPTIONS............... '..

6 4.

ALLOWABLE STRESS CRITERIA 5.

METHOD OF ANALYSIS 6.

REFERENCES...

~

~

~

~

~

~

~

~

10

~

~

~

~

~

~

~

ll A

Analytical Calculations APPENDICES FIGURES Elevation View of the Horizontal Waste Hold-Up Tank......

USNRC Site Specific Ground

Response

Spectrum for R.

E. Ginna (7% Damping) 1; Modal Responses TABLES 2.

Calculated Maximum Stresses and Safety Margins............

l.

INTRODUCTION The ability of the waste hold-up tank to withstand dead weight and SSE seismic forces is investigated in this evaluation.

The waste hold-up tank is a horizontal thin cylindrical shell with spherical heads.

The tank is supported by three saddle supports, each of which is anchored to the concrete mat through four (4) 1-inch bolts.

There is no specific code requirement for this tank; however, in the following analysis, ASME III, Class C criteria will be adopted.

The tank has a total volume of 2,866 ft3 and a design temperature of 1500F.

Figure 1

shows the sketches of the waste hold-up tank and the saddle support.

Analysis is made assuming the full weight of water.

The total weight of water is 202.8 kips and the total weight of steel is 24 kips.

p 3/5'voP1.

O. 3'. PION.

I il II II II I

/2.0. <

ll ll Il I

yb8.k pao. z

~.o"

~ gyral

/-

IQ.O!

grab l7>

SCCA"IuH A-A

o. A5-7HZ FIGURE 1

.".I Eli.~TT> l Igtt'..I >-

~ AE,IPOT,7gilTPL IPr,! E tlPI O-I,P TANK

The results of the analysis indicate that all parts of the waste hold-up tank resist the combination of the dead weight and faulted seismic load within the limits of the acceptance criteria.

Results of the dynamic modal response analysis are summarized in Table l.

The components of the waste hold-up tank were checked for stresses due to dead weight and seismic forces.

Table 2 summarizes the results of stress analysis.

The minimum factor of safety in the tank shell is 1.23 for the local bending at the horn of saddle support.

The minimum factor of safety for the saddle support is 1.11 for the flange bending.

Analysis results indicate that dead weight is the major loading component and the stress due to seismic loads is minor except in the anchorage.

Frequency (Hz)

Spectral Acceleration (g)

TRANSVERSE MODE 36.9 LONGITUDINAL MODE TABLE 1 MODAL RESPONSES

0

COMPONENT MAXIMUM STRESS (ksi)

ALLOWABLE STRESS (ks'i )

MINIMUM SAFETY FACTOR TANK WALL Membrane Stress Local Bending Stress Ring Compression SPHERICAL HEAD Membrane Tension ANCHOR BOLTS Tensile Stress SADDLE SUPPORT Tension in Flange Flange Bending Web Compression Center Stiffener End Stiffener DING ank-Saddle 4.7 65 11.9 1.2 17.4 1.0 35.7 1.6 4.0 2.9 9.5 35.6 80 35.6 35.6 40.6 24 39.6 45 36 36 36 7.57 1.23 2.99 29.7 2.33

24. 0 1.11 28.1 9.0 12.4 3.79 TABLE 2 CALCULATED MAXIMUM STRESSES AND SAFETY MARGINS

iq

3.

LOAD CRITERIA AND FAILURE MODE ASSUMPTIONS Analysis loads for the waste hold-up tank consist of the dead weight of the tank and content, and seismic loads in two horizontal and the vertical directions.

The seismic loads are defined by the site specific ground response spectrum for R. E. Ginna as specified by the USNRC [lj for a ZPA of 0.17g.

Figure 2 shows the response spectrum curve.

The full spectrum was used for the horizontal analysis.

Two thirds of the full spectrum was used for the vertical analysis.

Since the fundamental frequency of the tank is 23 Hz, the damping value is not important for the analysis.

Failure modes considered in this evaluation include:

tank wall yielding anchor bolt yielding saddle flange yielding web yielding stiffener buckling

10 ~ 0 i

O I

CP C)

CJ 1.0 0.4 0.2 Osl 1.0 2.0 4.0 10.0 20.0 40.0 FREQUENCY (HZ)

, FIGURE 2

USNRC SITE SPECIFIC GROUND

RESPONSE

SPECTRUM FOR R.

E-GINNA (7X DAMPING)

4.

ALLOWABLE STRESS CRITERIA Allowable stresses used in this analysis are based on AStlE B8PV Code,Section III, Division I [2j, Subsections NC and NF.

For tank wall yielding, a

2S m

where m

= maximum principal stress a

S

= allowable stress from Ref. 2, Table I-7.1 For local secondary

stress, (am + ob) < (1.5) (3;0)S, where b = local secondary bending stress and the shape factor for a

plastic stress redistribution is 1.5.

For anchor bolts, Ftb 0.7 S

where Su

= ultimate strength of the material at temperature (Table I-13.3).

For the saddle

support, Ft

=

3 (2 0) (0 6) Sy, where Sy

= yield 'strength from Table I-13.3, and 2/3 is the factor suggested in Reference 3,

Fb

= (2 0) (0 66)

Sy For the stiffneers in compression, Fc

= (2 0) (0 6)

Sy For the web in compression, Fc

= (2 0) (0 75)

Sy

l 0

For the welding stresses, Allowable Stress

= (2.0)S where S

= allowable stress from Table HF-3292.l-l

5.

METHOD OF ANALYSIS Analysis of the stresses under dead weight follows the procedure by Zick

[3], and where applicable, the additional factor of safety suggested in Reference 3 is also included in the allowable stress calculations.

For the dynamic response

analysis, the following assumptions were made:

o Saddle support is rigid in the transverse mode of vibration.

o Tank body is rigid in the longitudinal mode of vibration.

The sloshing effects are not considered in this evaluation.

6.

REFERENCES USNRC Letter LS05-81-06-068, "Site Specific Ground Response Spectra for SEP Plants Located in the Eastern United States,"

tune 17, 1981.

ASNE, Boiler and Pressure Vessel Code,Section III, Division I, 1980.

Zick, L. P., "Stresses in Large Horizontal Cylindrical Pressure Vessels on Two Saddle Supports,"

l<eldin Research Sup lement, pp. 435-445, September 1951.

APPENDIX A ANALYTICALCALCULATIONS

I

SYSTEM Waste Hold-up Tank COMPONENT NAMEWaste Hold-up Tank COMPONENT No N/A LOCATION Auxi1 iary Bui1 ding ELEVATION 236

'OMPONENT SAFETY FUNCTION:ACTIVE@ PASSIVE I0 2 Qx S-LIST PAGE N-METHOD OF ANALYSIS:

Analytical Stress Analysis SPECTRAL CURVES USED:

site s ecific Ground S ectrum for R.E. Ginna (see 83C2209-DR-005, File 3)

DAMPINGVALUEASSUMED:

7/

ACCEPTANCE BEHAVIOR CRITERIA USED-ASME B8PV Code,Section III, 1980.

COMPUTER CODE USED:

'N A REMARKS:

DESIGN REPORT COVER SHEET FIGURE 9.0 58 CONTRACT N-83C2209 REV.

N'Y DATE CHK D DATE APPR.

DATE

l1

SUBJECT + ~

+~

S"ET '.

JOB No ex~<~

aAve Ie M I'~

STEVENSON 8c ASSOCIATES 0 Ilttechetolntechontcol conlvlteto enotnennng ttnn CHKO, OY REV,No.,

APP:

I t

I I

-78.8t'-8 I-CZ- 'Cearly~

~

e I

I 4

l i

I

~z "T~

t t

~

I I

I,

~

~

I ti

~

I H

lt r

tt I ~ I e

~

~

I

~

I f

~

t

~,,y. ~ ~.~

~

5'~ms~

I I.s~,

I

~

e L

I

~

l ~

~

t

~ =

6 lvN+ gksrs C-0 cl SHEET ~

OF ms'Y DATE STEVENSON ai, ASSOCiATES 0 $'INcN<oHllochonlcol consuNng onp<noonnp nnn CHKD. BY AEV. No.

DATE APP; I

I

~

I t

',"'i" i

- >--~ ~

e I

I I

o ~

I I

I I

4-cn g i

I...'+-

I t

t I

i I

I a

I I

4z-<

i I

I t- ";-

~

5; g1

.J I

I I

~

-j' I

J I

iL <z c~

f r

)

t g "E'-('pIJjJ+"-S~Cr.>>~~

~

J i

I' l

~. ~

~ ~

~'

~

I~

~~S"ivm Jt a/W

~

- - -4S-us=--p,y 4---- - -g--

' p-p~-

pp I

~ ~, ~

e

+ ':<n ~ ~ ~ S~-p,~ 'st p(~-

i

~ --- s..... ~...l I

~

~

.o I

(p 1

S+A~s

~ -- ~-

(p I

~

~

I'7+ f

~

~

~--. ~

I I

I I

I I

~;.~, 4:g~~...,I

.s~~

l

~

~

I 4

p'~~ z

~

~

<< ~

wm

~~'

~

i, i ~~ ~ I

.-: 5'"--" '.-n '-'~'

'~4".: s ~

I

STEYENSON R ASSOCIATES a structurasrnechantcal consutnnO enartuenng frrrn Q l rvaA-uA-s <a REV. No.

APP:

SHEET

~

OF mB No.

ET +

DATE CHKO. BY OATE

-I+

f~f~I/

I

~

~

+. J.

1

~,

4

t i

'I t

I I

Zr'<le. ~

I ISW~

(

~

I I

- ~

3-

, m-~;p)('.~...~

I

~

DtrsM

( ~

~

~

t jw~rPOt I

r t

r

~

1 I

t I

I

~ 8 -L,.; i. '.,

1 I

(

(

~

~

~

'"" ~ =

~

t 1

II

~

~

t I

~

~

~

l I

I A

l

(

1 I

I I

~

8

~ I I

~

~

,l 0

STEVENSON 5 ASSOCIATES o slruclu(os(necnonlcol consutttnp eno(neenng It(m

&ruck UMv-c oC.DUB 7 MK.

REV. No.

APP:

SHEET OF uB No.

BY 7++

DATE CHKD. BY I

DATE

~ 7

(

yI

-.j -)

I rj tt I

I

~

--5p~W~

I I

I

~

5 I

I I

1 5

I

~/2Z P I

I l

I I

i 285'5,6

-I I

~

~

I

(

I

.a+, oo~

./4 t

I

(

~

(

s

(

(

pgp:;

4)~'c 83 ( '~'v -gg o - 5

(

r.

I I

.ge. ~cA-~~ + ~. 4~4 is; O.9WS

'n.r~

(

0 /~2- '. ~t~~

~ ~ I~~~;~g J

t t/* (

~

(

~-

~

(

r

~ \\

5 I

I, I

(

),

I

0

0 3TS +<4.

O.3rZ PiN.

/2u o

$8o.z.

~.o l'

STEVENSON at ASSOCIATES o sItuctusoshuschotucoi cohsulhho ohglhoohhg Iihll SUBJECT SHEET

~

OF JOB No.

BY CHKO, BY DATE OATE REV. No.

APP:

I I

l

(

!l

~

I I

~

I

)

~

~

s I

s

~

s j c7.',~p6 j

I

~

i I

I g

I j

~

I 0.5'39 </~

I

~

I j

/P; 9'r I

I ij'.5

~

l

~

s I

~

k I

~

--- j

~

s ~

~

I I

~4

~ w~

I

~ -<<

l

~

~

s

~

)

~ 4

( 'g,

~

S

~i"*.t~

'"~I /s'~~

i j

i I

/q~~I

<- -l-i I.

STEVENSON

5. ASSOCIATES o afructutol.mechonlcot consutttntt enyuteettng tItm SUBJECT CP SHIIT~OF~

JOB No.

BY +

DATE CHKD. BY DATE REV. No.

APP:

I I

J t

~<Ct9

)

I:

/,t

/g...

I

.3M 3

1 1

I I

~

t

~

I a

I P.538t (tt'g~)=34,tt

~ --v I

~~

~

I 88.6 '

~I

~ >>

~

F I

3' I

'1 I

t' o

~

t I

4.

0 Ih

SUBJECT 0

SHEET OF JOB No.

BY

+

DATE STEVENSON R ASSOCIATES 0 IrnrCIIIIOSnleCnonrCol consvrshnq engsneennCI nrrn CHKD. BY REV. No.

DATE APP:

I I

I I

I I

l I

f I

I I

CZ~

,i~'-

-~44-I S(

I

~

. rT

. e:+

IM

[

TI I

h I

Irar z,

i 4-,1.+

1 I

l I

h

~

+ ~

I z

f'

>'~~

I I'

~sQ -(

I I

I I

I

~

h

~

I

~

I

~

~

I l

~

h

~

'.. ~

'h 'I h

j -;

hl-

~

I I

I I/Wa I

~

I I

I I

~

h I

I I ~,

~ '

h

~,.h

-4 I

h

STEVENSON 5 ASSOCIATES a structural-mechanical consuttrnp anprnenrtnp tirrn SUBJECT sHtsr ~I or mB Nts BY~~OATC +

CHKO. BY OATE RSV. NI 'PP; skiz,~..

-h L

s I

c ~g)'+P l+

I

~

~

I

~

II I

i I

t l

. ~

l I

W

~

i 4-

~l I

l t

i c lrIc.

t t

1 I

I r

1

\\

~

I

\\ ~

~

I I

~

~

~

I w

~

~

~

~

1

~

1 I

I I

1 H

~

~ '

t s

~

I 1

~

1 1

~

+

~

t

~

t 1t I

r 1

I I

~

~

f t

r

~

1

~

S

~

~

I ~

i r.

t i

i t

~

~

1

~

~

r

~

+ I*)

~

1

SUBJECToMu N

EEEEI~~ Et JOB Nyy.

8'5 C 2>o1 BY DATE STEVENSON 8c ASSOCtATES O EttuotuIOHnechontCOI contutttnyy enyuteenng yyttn CHKO. BY REV. No.

DATE APP:

i f

~!II i

I I

I I

I l

I I

I

~

~

{

-0;o

~~+ u

~..O O2.

I P-~

"1" l

~ = ~ y I

,S~~c

.~d~d., ~gy~.g I I

)

I

'"~

L

~

~

I OY 4P, I

~

~

~

~ t POaPC ~

I

~

~

I I

I

~

~ ~

~

I y

I I

(jc~.

/po, g I

i.-..

~

~

II tI

~

~

I I

t L

L

~

~

~

IL L O'yES

'"ksi' I

I

~

I

~

~

~

u 1

~

~

~j l

4 I

\\

l

~

~

t

~

l

! ".t -~

I

SUBJECT EEEEr~t'r PBC z-m BY

+

OATE STEVENSON 5 ASSOCIATES o structuroi.mccnonicol consume enqrnecrtnp tum CHKO. BY REV. t40.

DATE APP;

~

~

I

~5K T

i I

4k, I

~

I

~ I

~

I

,/~

l

)

L

~

I

\\

I

'ac'C'4 x: ~Qy ~t t

./~:

I I

i i

I ~++2' I l!~tx l

I t !,

t I

i I

i

'I I

S. I I

I

~ 'g~'

j I

'I I- ~-

I I

I I

I

~

I

~

I I

I

'r

(],

y~ )',,g('Eryss) (rrr+/5c;,4E <<III II'!

~

I

~

I I

~

~

~

~

I

)

~,

E

~

~

I

. z.g..Asi I

t 1

I

~

~

4

~

t

~

~

STEVENSON 8( ASSOCIATES a Itrtrctirro)Enecnonlcot ccntutnnt) englneennt) tkm SusJECT SHEET~EP JOB Nt).

BY ~

DATE ~

CHKO, BY OATE AET. Ho, APP:

I

- ~

~

~

~

I E

T I

j t

)

I

(~~~~

A

~

t J (

-"IO~C+

i S

~

I 1

I I

I ~, A~4 I

i j

I I

-+M-

~

t I

t i

~

7 e"(b ~i~y)

~

H C

S I P

~

~

~

P A

I

~

I t

~

'I I

~

~

i I

~

~

t

~ ~

~

~ ~

~

I T. ~-I

~

~ << ~.

I

- ~

t

~

i E

A F

~

~

~

I A

j t

~

El

SUBJECT ~ ~

'+

SHEET~~

OF JOB No.

BY~Z8 C DATE STEVENSON 8c ASSOCIATES a ttntctwatmcchantcat cantttmng anglntfttnng hrm CHKO, BY REV. Na.

DATE APP:

i I

(

I tg~ '

t I

, S

-lt-$ r.i@

l

~

~ }W I

r I

I t

I I

}

t i

(

l J

L'a.0 c

I I

i

-o-99'5=.

}

I J

f I

I i

~

~I, t l

~ ~

I

~

I

~

~

}

I

~.

I

~

I

~

7 I

i

~ t-~-

I

~

~

4

}

}

I, I

I I

t I

4

~

~

I t

t

~

l I

~

I

1 Ik I

I

SUBJECT

//V/V SHEET

/+ O.

JOB I40.

BV

+

OATE E STEVENSON 8c ASSOCIATES 0 ttn)CN<O(hthchOhkOI cce)vthhg hnytheenhg (km CHKO. BY REV, ND.

DATE APP,'

~

~

)

I tI-1 t

I

~

4 4

~

t. ~t li 1

I 1

-(

I I

I T-

~

I

/., <~ ~ss=.scam vM

~ (

artcc pp I

~ 4 j

j ~,

I

~

j t

., g i

c-',~

(g.j(').

Bk ~

I I.

1

(

I I

L~~'

P. go'8 t

(

~

4 g

+

~

~

t I

-i '

!P!85

~

~,aI- ~

~'

~

I l;

t

~

+

h l

I N

i I

I J

SUBJECT > 0p SHEFT

~

OF JOB No.

BY

~~

DATE STEVENSON

& ASSOClATES o tttuctutot.mechontcol contuctnp enptneennp tttm CHKO, BY AEV. No.

OATE APP:

OR,~;

t I

+

t/2 P.-

0-+.

t V

t f

V Vh V

t l~t t

t PQ~i 2.8. Q V

I t ~

tV T

l t

V'CVfate"gr i

I I

V t

V I

~ t w

t

~ g-l'+x(

t W

V 6",

W V

~

t V

t ga3

~

P og5

/ >3'+

3 90vv rrv~.

~

~

~"

~

~

~

e V

V V

~

~'

~

V

~

I

~

~

~

~

~

~

t I

I I

  • I-I

~

I t'I' V

L -

t V

V

~,

~ t I

r

~

~

~

~

V V

SUBJECT L-SHEET

( >

OF BY DATE STEVENSON

& ASSOCIATES 0 llnrcrrrtoHllochonrcol conrrrnrng onprneonnp rrrm CHKD. BY REV. No.

DATE APP; L

1 I

~

~

I r'~C A~r

'I

~-

~ 4

~

~

r X/

I

~ N A

STEVENSON ac, ASSOCIATES o Iltuchttolttiechonicol contutttng enyneenng kein SUBJECT OATG OATG BY CHKO. BY REV, No.

APP; IIIEEF REF

~kk re

~

k I

kI

~

I

~

k I

'j I

k

~coax kk (O j

~-j a~-

kL-C,.g J

~ > 'I j

4 l

i +

~

I T

I i

I I

k k

I I

k

~

I I

i i

IW:~.N'.'8...

I k

~ 4 k

~

~

k

.-A ~-

I I

k

~

~

I J.

k 1

L k

~

I k

~

k

  • ,~

.- / -:~ wC)

~

~

I

~

I I

I I-$ g 2.

" EEFF t

I

~

),

. ill, C-

~

I

~

~

I 4

~ ~'

k.

k i

~ -

~ ~

I Lg i

-~

I I

II

~

I

~

I k

I

~

~

II i

l k

I

~

I t

T'-

~

~

4 l

e I

kk

4

SHEET~P OF mB No.

STEVENSON 5 ASSOClATES 0 ItIIICtMICWIICCflOIIICOf COniueho CCQIIIC<<le firm REV, No APP; BY DATE CHKD. BY DATE l

~

f I

I F

4 v

~

+I I'

I 4

4 I

I-~w t

1 l

I t

I '

I 4

I 4

f-.J.

I 4

el

~

I

~

F ae 4t i

~

~

I I

I

~

I

~

~

~t I

4l

~ r

~

a

~

~

I '

i

~

t

'4 le t

~I

~

~

t 4

~ ~

~

4 1

a

~

~

r*

I

~

i

~

t'

~

I I

~. +.

~

q

~

4 a

I

~

4 t

4

~

~

~

~.t e

~

~

t I

I tI

~

~

~

"~

SUBJECT SHEET~44F JCB No.

BY N 'TE STEVENSON 5 ASSOCIATES o Itruclurot.mechanical contuurno onorneortnII nrm CHKO. BY REV, No ATE APP; I

I I

I-r-

o&

4 I

-IA' I./,.

I 4

4 I

44 4

I 4

't

~

I

~

~

I I

I 4

I i

t I

i

~

~

t 4

) OC~

I

)

II 4

y

'I I

I I

I II I

I I

\\

I l

II I

t 4

4

~

I

~

~

~

I 4

~"

4 4

I I ~

l I~

I

~

I

~

~ ~

~

~

4

~

4

~

~

~

cA rK.

I It 4

~ I II I

4

0

STEVENSON ASSOCIATES a Et(uotl((clmeC(IONCO(

COOEU((IOQ Ohglh CC(tllg t((m 4/P nJk

~hsz+

d SHEET OF JOB No.

BY,,

'ATE CHKD. BY DATEg REV. NP.

APP

.i I

Tg I

(.'f K,! pt I

I tK I

t I

f,h 3.I, L.

I '

I I

It - ~E--)--4.

k

~

,u'q~ 5'o,g I

Yg= ~b t

4

~

t(2 Q=//.('

A

~

l l

~

I I

-.L l

~

l

-A

~

t

~

l

~

'l

\\

~

~

~

~

~

E I

~

I L ~

4~

~<<

I I

I A

I, It

~

(

E I

fggl I

~

f f

(X. 'P@ EP.: > ',$ CIA ((I.)

. ~ 4z

~" ~

E

,I (tgq + (,I

SUBJECT

~

~+

SHEET

~i OF g9 C.K~

BY DATE STEVENSON-

% ASSOCIATES o ((IocNICHllocnohlcol con(unco onynoonnp n(m CHKO. BY REV. No.

OATE APP:

I I

I e

I I

~'J I

I+jj lr 3 J L

I 1

i I

I

}.

i

-*5 -"-w('-*--

0-> 88 g~g I

l

'(o+

~

W

~

r

~

~

F~C.

(

~

/,go f

-r r

il' I

I i

r1

~

~

I I ~

I I

~

r 3

~

f 3

~

I r

~

\\ r I

~

~

'I I

~

~

I

DEFINT I-L DEF FN COSH (X) = (EXP (X) +EXP (-X) ) /2 DEF FN SINH(X)= (EXP (X) -EXP (-X) ) /2 1>IM A(5), N(5)

PI=3.14159

~ < 1) =11. 6: A (2) =24. 7: A (3) =57. 8: A (4) =80. 9: A (5) =104 FOR I=i TO 5: A ( I ) =PI+A ( I ) /180: NEXT I 11 (1) =. i75: M (2) =. F88: M (a) =. 288: M (4) =. 132: M (5) =. 021 S=I!: D=7. 85: A0=4. <H5: T=. 375: R=66

~ SUM1=0: SUM2=0: MS=. 404+7. 85+T/R FOR I=i TO 5: B=D+A ( I ) /A0

. X=COSH < B) -COS (9) -S+ (S INH (B) -SIN (B) )

l=A0+ (SINH (B) -SIN (B) -S+ (COSH (B) +COS (B) >+2+S) /D TH=A < I ) ~ 447: XHOR=X+COS (TH) +Z+SIN (TH>

SUM1=SUN1+ (M ( I ) +NS>+XHOR SUH2=SUM2+M < I ) +XHOR 2+MS+ (X+X+Z+Z)

'EXT I GAMMA=SUM1/SUM2 PRINT "GAMNA =

" "GANMA r!r!4.3S

+

P~ -d d g/1/ d/

STEVENSON 5 ASSOCIATES a ttructuratrnnchantcat con(uttintl nnp(neenntl tlrrn SUBJECT

~

+

REV. III(3, APP; SHEET

~ ~

OF JOB Nit.

BY

+

DATE

~3 CHKD. BY DATE

~

~

~

I I

i:sJ 2;P-3 X o.:)

7~0'I.It'+~<8 4

fM M f,4~

II, IIr 44p I t

I I

I I

t

(

l

~ /~/ p~+

L~M P~,(I

.J I

I I

I 4,

t 4

~

~

4 1=

I

~

I 4

ez (~)

~

\\ -

~

~

2 I

t W

~

l I

r

~

~

~

I t

I I

3.125 -'v 33t'g-

'cvvgII. W(3-- ~s.s.'I

, +(35 l

4v!

t

" - -'-- ----I->~I--

I 4

I l

~5

+-5='-+-

2 r

I v

g,/:P-p 3;8!C,+

/.Xy>>C.W~.y~>...

3(v.(I)

I ggactOX b4 I

X.337~.

II i

I

-=-

~

I 4( X9

~

~

I -I I

~

I

~

~

~

~

I I

I I

~

I I

I

~

4

~

I

STEVENSON R ASSOCIATES o Ittuctuiot1tfectaontcol contulitng onpinoennp nam SUBJECT

+see REV, No.

APP; SHEET~& OF JOB No BY OATE CHKD. BY DATE

'a II a

I a

a I

a I

I I

a I

I

~

~

1

~

'jl I

I I

I

~

II I

~

a ~,

~

I I

I S+~'~

~~~p~)

sl~

. fIISf-, ~; Jf'aa 'a//i.aaaa a

cd a

-- --..6 ~...~

Sk'(1,raSaa~. ~

aa., ~t}'(~

~

~

a P -ga

~

l

'a I,

~ a f

~ ~

-I-a>>'

3@x'

~

a I

T a'

a I

I l

~

l

}

L i a

~

~I I

I

~

~ ~

i

.i i

1

STEVENSON R ASSOCIATES 0 Itflfcfwoffftochooleo!

conftffftnp Onplneonng tlfm 7+

j SUBJECT

~

8 7-p ~a!Qs/-"

Ci = //o~

J AEV. No APP:

I "f'X/4'N I

I

!. 2, SHEET

+MDF

~8 BY DATE CHKD. BY DATE

'nX2 if49.

gag x5'g sr'ea I +" G'e" I-I-f i '/P (I/>+~

3XZFj'P'5'Z-

~ +

! ~.J t

35 I

//

I

Stt~ae i

I

~

I~~

ftrfOCr'

~L-.L -

~

I iZ2-I/o Q!;

!/a,/

I

/ ~F2-

."9<20 rSZ-'

3 J.d Ii

-+

I

-'iN~

RO2; -8

'BW,P

! ~--

I Cr'. Qg 5 4-M C

=- ~.

~

~

~

I

//93 ~

u.5z~

~

~

'I

~ ~

~

z.~.W I

)

I.

~"

I

~

~

I

~

~

I

~ ~

I C--."- -t- ~--

~

~

I f

~

i ---

~

~

I I

I 5

ebs~. a,c~~~

~ ~

I

'~~

~

f

~

~

I I

f

~

I

~ ~

~

~

~

'1 Pt /9 g.

I

Cs 0

STEVENSON

& ASSOCIATES o IlhrctUiolihochonrco) con)srrhng onylneinnp firm SUBJECT SHEET

~

OF JOB No.

BY~4L)t OATE CHKO. BY DATE REV. No.

APPl P,L Pa(f ~

I Pl 4

~

I I

~

~

~.J J, 3'/~

'I

,',I

<<n I'9 I

I

,.i

~

..I I

I

~

T I

'sj'/

I I

i I

~agre ~~

I

)

I

~

I I

~ -~

J-=- ~

~i

- ~ --3 9

~

9 j3o/4

$ ~55 S~

I I

I i-'8

)c fr P2 P o"bog -'7!

~ "='-. i I

'Pal""

I I

)

~

I

/K~g /IrtrC<<f~ '~$ 'gp i'~ g~

~ ~

4

~

~

~

q

~

~

~

I i

L

~

~

I

)

I i

I II PS'f-

SUBJECT ksrc SHEET MOF~

~89 BY OATE 2<

STEVENSON

& ASSOCIATES 4 EIFMChllOIETHEChOAICOI conwlnng nnglnnnnng fnm CHKO. BY REI/. No, DATE APP:

I I

S I

I

~,

~

.I.

I

'I r

E

~

vc-j8.~

~

I I.~

I F ~4~

I f

g~~~l,;EI,'48'2.' j E

5 T

m.:. &>....K-..+.a2...',isa. ~o eq

~

~

EI I-h 4

I II Q(/j. SC Serif - Od ~ /f)

F o22.+ = -/4,v r

~

I

, (,.~Sf'cn en< ~ss.-~c$ m I

~

.M(op'u.4~+

lo, gz f

.a. 8%'S/"

I I

i I.

~.~,

~

I I

H I

I

~

I

~

+

- ~

~I

~

I I

I

~

~

~

E I

r

~

~ -f- '-.- )

I

STEVENSON 8( ASSOCIATES condulhng enplneenndt turn

$UBJfcf

/UAk klJf+Q7 A ~Dip wA-d/.

IA IHEET~+DF~)

83C2 ~

BY ~

OATf, CHKD, BYQ DATE REF. N*.

APP:

FpK

'~g

=-, P.ewj'4 I <<j I

/0e-b>5 1

4T 1

1

~

-1$ W~

l

~r t'

I

!g/y I

i~)

I I

~

I ~.+

~

l

~

I

i i

i U

1 I

<<PP-@~

~ ~

, Pd>S

...Esca

~

~

t I

I I

I

~

I A'

r--

I

-08'7'x 2-8 -+ "

'...:,'...!o,ai~ (o o>>5).pzgpg....

< 0 W~tc.

I SHEET ~

OF 8> C2.2.o BY

+~

DATE CHKD, BY ATE RIP. NI.

APP:

g g

I I J.,

I l

It t

t..

~ =

~

~

t

~

~

AWK~

I

-aC i

l t

t

~

I

~ I' I

2;-,pwMAg gtt O."

rr3sc:.

o~3'9.

I I

~

~ 0 I

I j

-2,o 2,-g

'. 2.2-r P'- <i /g -)(- ~ '

I x O,/+3

~

A

's'I I ~

It'

~

I

~

~

I I

~

~

~

~

t

~

~

~

~

~

'I

(

t it,. t I

I 4

I I

I

~

-g

~

~

~

~

I P

~

~ ~

I I

~

I I

0 I4

SUBJECT

~ic SHEET OF

~o

)S JOB He.

BY DATE STEVENSON R ASSOCIATES a srruerurasrhoehahreal eahsurhhg ohgrhoohhg!rim C)tKD. BY REV. No, DATE APP ji)7.n.

e I

~Sg~

1 I

I I-I,

~

~

'7 1

~

)r

~

I 1

I

~

I I

I 1

1 xo 1g i' o-~

e l

I I

7 I

1 t

4 r

$./

1

+'

e i

rI 1 '1 1)'~+x ~~

~l++l I

I I

tksi)

~

1 I

I 7.

j I

I I

I i

)

I e

1

,I ~

I 7

~

~\\

~

v

~ ~

I e

~

~

~

~

~"

"~I

~

L I

1

~

~

~

~

I

~

~

~

~

~

I

SUBJECT SHEET OF 83 t-~~V BY OATF STEVENSON 8c ASSOCIATES 0 Iittichtihitnnchonicol conwiisitt enyinetmng hrm CHKO. BY REV. t4o.

DATE APP:

red& g j

(

\\

~

It I

~

I Pwca

+~o.

+ L I

I P

-0;I

~ 1 I

1 t

I I

~

p+~ x o.'/f~p$'7+)'

g o) t I

I

~

t kS-x -I".

I

~

I

~

~

~

I I

I

/, b,x i

t f

e I

I M/

,.==,... /.

%: est....

-~cd '

/,g w 'F. 3 4/.4~)'-

gs-Lsi

~

~

~

~

Ii

~

\\

~

~

)

~

~

t x

~

~

~

I I

c I

~

e

~.

STEVENSON R ASSOCIATES O Eltl)CNIOlHTIOCncnlCOI COhlOIIIIIQOlio)(IOOIIIIQllllll SUBJECT Bshed~...j

++

~

t REV. No.

APP; I

I(

SHEET OF js IOE HF.

BY j

DATE CHKO. BY DATE I

~

7 g~g, I

I

~

I

+

I I

8 I

J I

1

~

I f

[

j i

l

(

~

I

- ~

IS=-; 3-X.r -ksi"

(

I I

II I

r j

1 j

I ~

j

~

I

('

I(

'4 1 I~V 'H~j~~:W, &~+~J.SP~

I

)

F

~ Q I

I I

~

4 t

~

~t 4

t

'(

'0 'p~

( 2/s =

F v 3.9 k'si I

~,

I

~~ + o~'

l (I-"Sj

= Pd Ls('

~

t

(

~

<'>5 x' I

j jYSHQ g~" m'~i 51~'"$5<-C~

I'<0 i(CveP SoHH('~ jj ~(4~~gfe.

I

~

~

I t

I

\\,

~

~

~ I

~

~

~

$ (!c k ~~sf~

44 44(&i'9 ~Q ~

qg I I >~ I.

'I

(

(

}

m4

= ~

I

~,

~

~

-Ae ~.~ In ~ ~:L ~ H e ~~~~

I

~ ~

~

~

~

~.

~

~.,(

~

(

f~~

Ijj'~p~~

Iz W. ~W Iki s~

I

P J

SUBJECT SHEET ~~

OF 3 8 JOB No.

BY DATE STEVENSON 8c ASSOC(ATES 4 IIIUCIUIOSITleCnohiCOS consviting engeneenng iirrn CHKO. BY REV. No.

DATE APP:

j

/~hd

~. 4W

+t~

--< ~

  • s i, ~

~

e i

I

~

~

I I

j I

e I

i9oW I

F.O "t '"T'*

i

~

I S

~

I I

I

~

I i

l I

I t

I

.:o y-~-=-j~~fj I

I

~.

,'l e

I e

~I

=

I

~ ~

~

~

~

I i

I

'v

.. '.~

.i l !.,!..'

i J $

I e

J,.6r,,C:. L I

I 3o 4si II es I

I I'nc ree I\\

e I

tH'yc XY/I 2E~-.on 'N I

I I

a.c c l

u. ~-AA I

i e

>,.J l

F I

I I

t f.

/

f IEC.

O,0O<<.

I I

~

~

~

e I

s I

~

~

~~.c,

.I a

! ).~,

0E 6; iO.

i

~.-j.

~

~

  • - ~

. ~

~

STEVENSON 84 ASSOCIATES a sttocttvoIHtsectoanicot constImhg ~IYI3vteervvp Ivto SUBJECT

~

~

I I

~

I REV, No.

APP:

-l Z.O z.a;7 p...rg.=.

SHEET OF 3W 3ts KFB HA.

BY t3ATE OHKD.SY DATE

(+~

'I

~l~MM hats B, :, ""TAo/I ~~@

si+'v'.I I

gq-toss

,o.br 5 I

i I

I I

l I

I I

I

~

~

I l.~

I I

F

~

~

~

t

~

I

~

~

~

I

, I

~CE ~M~ ~~/~

DfHJ y'~'~

/=

~c/c,/,

I

~IF vt"PM I

.isY.'~oi

~~t~

)

~

5 6'PPZ~v~/

S c~~~ 4~

~ ~

~

I I

.I.

I

~

I

~

I I

Cg 0

6 <UPA-0 SHEET~~OF uB No.

BY DATE STEVENSON SI. ASSOC(ATES o srruclurol-mechonlcol consulting onginoorlng firm CHKO. BY

REVNo, DATE APP:

I

~

+

g t

~

I I

't Lr

~

t

(. v 2.,g

)c

- l--

et 1

2.8, 5'5 +

I

/,/c;6; I

P I'

I

~

l I

t

~

I 2;o I

I I

I I

I P

t.

I ""r-,ctr

" Wx t

tt

~ -t OI~

I 'I I

I 1

I

~ tt I 1

~

~

~

~

I

~ 1

~

~

. ~

~

I

~

t

~

I f

1 P I t

I

~

I t

~

P 1

1 I

t 1

P n

1 I

~

~

L

STEVENSON

&. ASSOCIATES o seuctutownect)on)cot census))no enyneerlhg tens SUBJECT AvJ CHKD. BY DATE REV. No.

APP:

SHEET

~ ~

OF mB No.

BY DATE I

tI t

s l

it s

t

~

~

(

(

l

)

a i

i I, I

)

I l

I!

1

',~ r(~p/t+

s sA; ws's S8e'S~

(eS)

~

~

I I

(

w' s

(

i

)

i

)

~

4.

o s

s s

s

(

'i

/o l

(

P 2 4 -0.2-3 I

s:'1 4,"7.

~--3$"4--

~8,i+@3 t

Pq'Pi2$

I QQ,D

") f

~

/

" o./.

~ A A~

(

14 74 s'~

0~

'~WXc poW 7c.s;

-'8~

p(~ b~:q QN ~MS') aus-Q M ~k'g 3.5

.OQ 21 l.4 o.g~

9W +

sf 3C O

0

C.

STEVENSON

& ASSOCIATES a ssructurosmechonicol censing enosneersng tom SUBJECT wkly-rS SHEET OF Bv c BY

~

OATE +

8 CHKO, BY ATF 0 g RSV. ND.

APF!

I I

I I

...-j. q) j i

I I

I mM

'2 l

D 2..N 1

'+ 'O~~

I I

I I

I I

'i~S~

A

- ~

/i ICFCA Di

.i ~

~. -,.f I

i j

s I

F i

I I

~

N

~

I

~

~

~

~

i ~ ~

~

l D

I

~

I

STEVENSON 84 ASSOCIATES EE EIIMChIIOl.mechEtnlcof conIIIttinftenyneennft tifm SUBJECT MM~/

SHEET BF 38

)8 OPB Ho BY DATE PHKP. BY

&le ATE Pg REY. MO.

APP; I!;

s

.ge.i.~e pcs

/Hsc'~

I IC )6 W ~

R,ji-A ~ i.a,,'tea t

I

.../n) ~, L/~M D~

'a

~~. )/I (j~.]

I t

t i

i -!

zh ~it, lf< EE.t,.

I

// '

~I o

f t

I F

I f

I

~

i~@4 t

f() 8

~

)

le uos~M

~

~

K/~,.A') P (Ig~

I i p o

~

~

I F

I

~

I

~s) ~

~,'f/~ (g~

+~ y/,

o

...~c

...).g.. g,

/~..&.Ms/.~,g~ZA~..~~pc

.f~

V)~M K

! p~

Af~v"."/'g'pz '

"/pe's"p'he I

I'

- RA~~/', 'sb ~~

U~

pp a~s-- ~~.

i,/~ ~~ +/EKE'P.M s 'm6 lv5 /,

/Yp-aS/pCA/pop I S

~ /, I~ 5~

V hl, i IHH~y ~

&axtfm S/~e'/o'Q, ~ r p/. Fpf~~

/~LE f iqg-t )

B gS///=

~/PIE/+

Zeh.

~

~

I

~