ML20203H710

Issue a to Fort St Vrain - Pcrv Tendon Evaluation

ML20203H710
Person / Time
Site:	Fort Saint Vrain
Issue date:	04/30/1984
From:	Cheung K, Lee T, Wistrom J GENERAL ATOMICS (FORMERLY GA TECHNOLOGIES, INC./GENER
To:
Shared Package
ML20203H694	List: ML20203H690 ML20203H696 ML20203H710
References
907441, 907441-I-A, NUDOCS 8608050068
Download: ML20203H710 (51)

Text

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P-Gbiftl Affucimeg 7 GA Technnlogies inc, o A 1485 (REV.10/82)

I ISSUE

SUMMARY

APPRom LEVEL FSV - PCRV TENDON EVALUATION O V&S E) DESIGN DISCIPLINE SYSTEM 00C TYFE PROJECT l0OCUMENT NO.

ISSUE N0/LTR.

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907441 A

QUALITY ASSURANCE LEVEL SAFETY CLASSIFICATION SEISMIC CATEGORY ELECTRICAL CLASSIFICATION FSV - 1 FSV - 1 N/A I

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GA TECHNOL0GIES I N C.

TITLE:

FSV - PCRV TENDGN EVALUATION DOCUPENT No. 907441 ISSUE NO./LTR. A TABLE OF CONTENTS PAGE 1.

SUMMARY

3 2.

INTRODUCTION 3

3 GENERAL APPROACH 3

4 MINIMUM TENDON LOADS 6

5.

MINIMUM TENDON STEEL AREAS 11 6.

CONCLUSIONS.....

12 7.

REFERENCES 16 APPENDIX A:

MINIMUM TENDON LOAD CALCULATIONS Al LIST OF FIGURES 1.

PCRV Prestressing Tendons 4

2.

Location of PCRV Concrete and Liner Key Points 7

3 Determination of Minimum Average Tendon Load at Present 10 4

Minimum Tendon Load Required-Vertical Tendons.

14 5.

Minimum Tendon Load Required-Circumferential Tendons in Barrel Section 14 6.

Minimum Tendon Load Required-Circumferential Tendons in Heads 15 7.

Minimum Tendon Load Required-Crosshead Tendons 15 A-1. PCRV Vertical Sections Considered in the Determination of Stress and Displacement Combinations..........

A4 LIST OF TABLES 1.

Tendon Data 5

2.

Tendon Load and Steel Area Requirements....

13 Page 2

GA TECHNOL0GIES INC.

TITLE:

FSV - PCRV TENDON EVALUATION DOCUPElfr NO.

907441 ISSUE NO./LTR. A 1.

SUMMARY

The minimum load and steel area requirements for Fort St. Vrain PCRV prestressing tendon groups are given in Table 2 and have been established based on an evaluation of the analysis results in the Final Safety Analysis Report (FSAR) and its supporting calculations.

The minimum load limits provide the required prestressing forces for the safe operation of the PCRV during the design life of the vessel.

The definition of minimum tendon steel areas are required to assure that the PCRV could resist a hypothetical overpressure in the cavity equivalent to 1775 psig (2.1 times Reference Pressure). A uniform distribution of tendon loads and steel areas are assumed.

The minimum loads are derived for the jacking ends of the tendons and should be compared with the tendon lif t-off loads for acceptance.

Accuracy associated with the jacking equipment has not been taken into account in determining the minimum loads.

The tendon steel areas are expressed as a ratio of the original area specified in design. When abnormally low tendon loads are indicated, the available steel areas in the affected tendon group should be verified against the minimum steel area limits.

2.

INTRODUCTION

~

The Fort St. Vrain (FSV) PCRV tendons can be classified into four groups:

vertical tendons, circumferential tendons for the barrel (wall) section, circumferential tendons for top and bottom heads, and crosshead tendons for top and bottom heads (see Fig. 1).

Relevant data on these tendons are given in Table 1.

The minimum loads and steel areas required according to the Design Criteria DC-11-1 (Ref. 1) are established for the four tendon groups.

The methodology used and the results obtained are presented in the following sections of this document. Supporting calculations are given in the appendix.

3 GENERAL APPROACH The establishment of the minimum tendon loads and associated steel areas required is based on an evaluation of the analysis results given in the FSV Final Safety Analysis Report (ESAR) (Ref. 2) and its supporting calculations.

The results of working stress design analyses (FSAR Appendix E Section E.5 to E.7 and E.13) are used to determine how much reduction in relevant prestress is acceptable without causing the governing concrete stresses to exceed the allowable stresses given in DC-11-1 (Ref. 1).

This is done for each tendon group (see Table 1).

By ccmparing the permissible prestress reduction with the initial design prestress, the permissible reduction in tendon load and hence the minimum tendon load required for the group can be determined.

The minimum tendon loads for all groups thus established provide the lower bound of required prestressing forces for the safe operation of the PCRV during the design life of the vessel.

Page 3

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GA TECHNOLOGIES I N C.

TITLE:

FSV - PCRV IENDON EVALUATION DOCUMlff NO.

907441 ISSUE NO./LTR. A TABLE 1 TENDON DATA Number of 1/4-in. $

Anchor Force Number of Type of Tendon Wires per Tendon per Tendon * (kips)

Tendons

1. Vertical 169 1395 90

2. Circumferential 152 1255 210 in barrel

3. Circumferential 169 1395 100 in heads

4. Crosshead 169 1395 48

~

• Anchor force at 0.7 of the minimum Guaranteed Ultimate Tensile Strength (GUTS) of the tendon. Minimum Guaranteed Tensile Strength of Wire = 240,000 psi.

Page 5

GA TECHNOL0GIES I N C.

TITLE:

FSV - PCRV TENDON EVALUATION DOCUMNT NO.

907441 ISSUE NO./LTR. A The results of PCRV ultimate load analysis (FSAR Appendix E, Section E.10)

~

are evaluated to determine tendon stresses under 1775 psig (2.1 x Reference Pressure). By comparing these stresses to the relevant allowable stress /

strength limits the minimum tendon steel areas required to resist the hypo-thetical overpressure of 1775 psig in the PCRV core cavity are established.

Details of minimum tendon load and steel area calculations are described in the next two sections.

4 MINIMUM TENDON LOADS The procedure used to establish the minimum allowable tendon load for each tendon group is as follows:

1.

Calculate the critical stresses at the end of PCRV design life.

Load combination:

The governing load combination is given by the load case for a pressurized vessel at end of design life consisting'of end-of-life design prestress (F,), operating temperature (T), reference pressure (RP) and design earthquake (E).

Critical stresses and sections:

Vertical tendons:

axial stress at wall midheight (key points

• 43, 44 and 45 in Fig. 2).

Circumferential tendons - barrel:

hoop stress at wall midheight (key points 43, 44 and 45 in Fig. 2).

Top head tendons (circumferential and crosshead):

radial stress near center (key points 5,16 and 27 in Fig. 2).

Bottom head tendons (circumferential and crosshead):

radial stress near center (key points 67, 75, and 87 in Fig. 2).

Source of data:

Stresses due to F, + T + RP: Table 5.3 3 in Ref. 3 Stresses due to E: Table E.13-2, FSAR (Ref. 2).

" Representative locations in the PCRV for which stress values are available in tabular form in Refs. 2 and 3 Page 6

GA TECHNOL0GIES INC.

TITLE:

FSV - PCRV TENDON EVALUATION DOCUNNT NO.

907441 ISSUE NO./LTR.

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Fig. 2 Location of PCRV Concrete and Liner Key Points Page 7

GA TECHNOLOGIES I N C.

TITLE:

FSV - PCRV TENDON EVALUATION DOCUNDrf NO.

907441 ISSUE NO./LTR. A 2.

Determine the permissible reduction in prestress at end of life.

Taking into account the effect of reduced prestress with time, the following criteria apply to determine acceptable stresses in concrete:

a.

Average stress over the critical section remains in net compres-sion (Ref. 1).

b.

Principal tensile point stress produced by pressure, prestress and dead load shall not exceed 3 /f

- 232 psi where f

- 6000 psi is the design compressive st$ength of concrete at The time of prestressing. (Ref.1).

c.

Reduction of prestress should not introduce tensile stresses at the liner / concrete interface.

3 Estimate the stress due to the original design prestress at end of life.

Apply the total predicted prestress loss (average for the tendon group as given in Table 5.6-4, FSAR, Ref. 2) to the stress due to the t

initial prestress (Table 5.3.3 in Ref. 3).

Average stress over the critical section is considered.

4.

Calculate the minimum average tendon load required at the end of life.

The stress due to the original design end-of-life prestress (Step 3) is reduced by a permissible amount (Step 2) to provide the stress due to minimum required prestress at end of life.

The minimum average tendon load at the end of life is then calculated by:

stress due to min required prestress at end of life x (avg. initial stress due to initial design prestress tendon load)

The minimum average tendon load thus calculated is verified by an equilibrium check, if applicable.

Pzge 8

GA TECHNOL0GIES I N C.

TITLE:

FSV - PCRV TENDON EVALUATION DOCUPENT NO.

907441 ISSUE NO./LTH. A 5.

Calculate the minimum average tendon loads required at 'this time (as of 4/24/84).

The minimum average tendon load required at this time is calculated by the method illustrated in Fig. 3 For conservatism, the slope of the semi-logarithmic minimum tendon load vs. time curve is based o.1 the maximum prestress loss given in Article E.6.6 of FSAR, Appendix E.

6.

Calculate the minimum tendon loads at Jacking end.

One half of the frictional loss along the length of the tendon is added to the minimum average tendon loads calculated in Steps 4 and 5 to establish the minimum tendon loads at jacking end.

The friction loss is computed by (Article 5.6.3.1, FSAR, Ref. 2):

T

=T e' " **

o where:

T the force at point i feet from the jacking end

=

T the force at the jacking end

=

3 base of the Napierian logarithm e =

wobble friction = 0.00027 (Ref. 2) e =

acefficient of friction = 0.15 (Ref. 2) u

=

0 total angle change between the tangents to the tendon at end and at point 1 in radians i

distance in feet from the jacking end to the point under

=

consideration.

The minimum tendon loads for all four tendon groups established by the above procedure are listed in Table 2.

Details of the calculation are given in Appendix A.

Page 9

GA TECHNOL0GIES INC.

TITLE:

FSV - PCRV TENDON EVALUATION DOCUMNT NO.

907441 ISSUE NO./LTR. A F.3 JI Slope ha s ea' or?

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Fig. 3 Determination of Minimum Average Tendon Load at Present Page 10

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3

GA TECHNOL0GIES INC.

TITLE:

FSV - PCRV TENDON EVALUATION DOCUIENT NO.

907441 ISSUE NO./LTR. A 5.

MINIMUM TENDON STEEL AREAS Design Criteria DC-11-1 (FSAR, Appendix E, Ref. 2) requires the PCRV be designed to resist a cavity pressure of 2.1 RP (1775 psig) for Limit Condition 2 which is the governing case.

The allowable stress / strength limits for this condition are:

Vertical tendons - Guaranteed ultimate tensile strength provided that strain compatibility is satisfied.

Circumferential tendons in barrel - Same as above.

Top and bottom head tendons (circumferential and crosshead) - 0.9 f sy where f, is the minimum guaranteed steel yield strength at 1% elonga-gation, and is equal to 204 kai (FSAR, Fig. 5.6-1).

In this calculation, in order to assure the participation of rebars, the allowable stress for the vertical tendons and the circumferential tendons in the barrel section is limited to f37 The PCRV ultimate load analysis (FSAR Section 5.3.3 3 and Appendix E, Section E.10, Figs. E.10 - 23 to E.10 - 25) indicates that at a cavity pressure of 1775 psig the stresses in typical tendons are still elastic as given below:

1.

Vertical tendons:

156 ksi.

2.

Circumferential tendons at barrel:

170 ksi.

3 Circumferential tendons at heads:

138 ksi.

4 Crosshead tendons - 139.5 ksi.

These tendon stresses expressed as ratios of the respective allowable stress /

strength limits are as follows:

1.

Vertical tendons: 156/204 - 0.76 2.

Circumferential tendons at barrel:

170/204 - 0.83 3

Circumferential tendons at heads:

138/(0.9 x 204) = 0.75 4

Crosshead tendons:

139.5/(0.9 x 204) = 0.76 It follows that the minimum acceptable tendon steel areas to resist the overpressure condition expressed as ratios of original areas specified in design are as follus:

Page 11

GA TECHNOL0GIES I N C.

TITLE:

FSV - PCRV TENDON EVALUATION DOCUIENT NO.

907441 ISSUE NO./LTR. A 1.

Vertical tendon: 0.76 2.

Circumferential tendon at barrel: 0.83 3.

Circumferential tendon at heads:

0.75 4

Crosshead tendon: 0.76 CONCLUSIONS The minimum tendon load and steel area requirements for the FSV PCRV tendon groups are summarized in Table 2.

The minimum tendon loads provide the required prestressing forces for the safe operation of the PCRV during the design life of the vessel.

The minimum tandon steel areas are required to resist a hypothetical overpressure of 2.1 RP in the cavity.

It should be noted that the minimum loads are given at the jacking ends of the tendons and should be compared with the tendon lift-off loads for accep-tance.

The accuracy of the jacking equipment has not been included in determining these minimum loads and an appropriate tolerance variation should be accounted for.

Curves showing the minimum recuired tendon loads as _ a function of time are given for all tendon groues in Firs. 4 through 7.

April l

24, 1984, fourteen years af ter the completion of the prestressing, is used as the " Day 1" in these plots.

When abnormally low tendon loads are indicated, the available steel areas in the affected tendon group should be verified against the minimum steel areas.

The minimum tendon steel areas in Table 2 are expressed as a ratio of the original steel area specified in design.

I e

Page 12

GA TECHNOL0GIES I N C.

TITLE:

FSV - PCRV TENDON EVALUATION DOCUMENT NO.

907441 ISSUE NO./LTR. A TABLE 2 TENDON LOAD AND STEEL AREA REQUIREMENTS Tendon Group Circumferential Circumferential Limiting Vertical Tendons at Tendons at Crosshead Parameters Tendons Barrel Heads Tendons Required Steel Area

• 0.76 0.83 0.75**

0.76**

Minimum tendon loads at jacking end 1100 950 775 735 as of 4/24/84 (kips)

Minimum tendon loads at jacking end 1090 935 765 725 4

at end of life (kips)

I l

• Expressed as a ratio of the original steel area specified in design.

• • FSAR Appendix E, Section E.14.2.4 indicates that the contribution from crosshead tendons to resist cavity pressure is small.

The possible exclusion of contribution from crosshead tendons and the corresponding increase in mini-mum tendon load and steel area requirements for the circumferential tendons in the heads would need to be established by further detailed analysis.

l Page 13

GA TECHNOLOGIES INC.

TITLE:

FSV - PCRV TEtJDON EVALUATION g m HT NO.

907441 ISSE (d s; f

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Circumferential Tendons in Barrel Section Page 14

GA TECHNOL0GIES INC.

TITLE:

FSV - PCRV TENDON EVALUATION DOCUMENT NO.

907441 ISSUE NO./LTR. A (cys)

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Crosshead Tendons Page 15

GA TECHNOL00IES I N C.

TITLE:

FSV - PCRV TENDON EVALUATION DOCUENT NO.

907441 ISSUE NO./LTR. A 7.

REFERENCES 1.

" Prestressed Concrete Reactor Vessel Design Criteria," DC-11-1, Issue E, S ept. 12, 1969.

(In FSAR Update, Appendix E).

2.

" Fort St. Vrain Nuclear Generating Station, Updated Final Safety Analysis Re port."

3

" Stress Analysis for PSC/PCRV." GADR-12, Vol.1, see Memo from R. Hess to L. C. Shao, "PSC-PCRV Final Stress Analysis Work," EAM:188:69, June 10, 1969 at the end of volume.

4 "ASME B & PV Code,Section III, Division 2," Winter 1982.

5.

"PCRV Vertical Tendon Tube Details, " Drawing B-25. Job No. 3614, Sargent &

Lundy, February 1968.

6.

"PCRV Circumferential Tendon Tube Details," Drawing B-23, Job No. 3614, Sargent & Lundy, August 1967.

7.

"PCRV Top Head Inner (Outer) Tendon Tube Details," Drawings B-26 and B-27, Job. No. 3614, Sargent & Lundy, February 1968.

8.

"PCRV Bottom Head Inner (Outer) Tendon Tube Details," Drawings B-21 and B-22, Job. No. 3614, Sargent & Lundy, February 1968.

O Page 16

GA TECHNOLOGIES INC.

TITLE:

FSV - PCRV TENDON EVALUATICN DOCUPENT NO.

907W1 ISSUE NO./LTR. A APPENDIX A MINIMUM TENDON LOAD CALCULATIONS l

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CALCULATIONS FOR EQUIP. NO.

PROJ.

CALC.NO.

9 a 7 u (4 / /A PAGE A i 0F r

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PREPARED SY OATE 7 7 gj y 7, y CHECKED BY OATE 1

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CALCULATION SHEET ci m m v..,,

CALCULATIONS FO R EQUIP. NO.

PROJ.

CA LC. N O.

4, 7 g e/ /4 PAGE A 7 0F PREPARED BY DATE 4g REF. 00CUMENTS:

7-y CHECKED BY DATE 1

ins l dfS/9n c /]cf- 0$-//fe freSlf!SC b'A*S 8 f f f $ $ d ij e h O f o

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1 CALCULATION SHEET u 2emev.

2, CALCULATIONS FOR EQUIP. N O.

PR OJ.

CA LC. N O.

p o 7 4 4. / /A PAGE A f 0F FREPARED 8Y y7 OATE gg jg R E F. DO CUMENTS:

CHECKED BY DATE 1

A

2. C Min i.<nuin dyr e

1'en ofon food c;' er>d of /,fe Aloff:

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36

CALCULATION SHEET u 33 m,y.

,3, CALCU LATIONS FO P EQUIP. N O.

PROJ.

CALC.NO. 9 a 7 4 J / /f; PAGE 4 9 0F PREPARED BY 7 7

OATE REF. DOCUM ENTS:

)

g j/

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rhe /o</ WDs erfad/isd#d is rearwe> We

/

26 God d'OJ7 Ser/dll Ai?

g, 28 29 30 31 2

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l

G A 268 (REV. 4/82)

CALCULATIONS FOR EQUIP. N O.

PROJ.

CA LC. N O.

90 7 d d / /jf PAGE 4 /3 0F PREPARED BY OATE p

7 q 4g R EF. DO CUM ENTS:

CHECKED BY DATE 1

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CALCULATION SHEET o.a.. m.v.a.u CALCU LATIONS FO R EQUIP. N O. PROJ. CA LC. N O. 9 o 7d d //// PAGE Aei 0F g/ jg 7 7 OATE R EF. 00 CUM ENTS: PREPARED BY CHECKED BY DATE 1 to es/asli:4 the s/0/>e of tse mio. /oss su m. 7% a s, Asy,, t vs 6 r'. - T* Ty Te c /09,, in / - /o], sw n /oy,, m si 10 (T, - T)(c. o 7 s c ) Te = + 12 Let c>< =- inax., ores /ress /0 s c, th * " T,=(ioc)T. E = / c)( ~ 4 17 W Te C, l, -')=,_, 7e' 18 /.c - le = Hence ' 21 22 o( + Te (*- [S=) T = Te y i-y as 24 77 k 2 /+ 0.0 / 1 26 87 hr l/e/' liCA / fe n c/ons, gg 29 h = 0./ OO

• )

V" W A 'O "' N ii 30 E. 4. 4) 3, T = /.osos fe /. o to g x to rt = .J 34 = / of 2 x s. 35 /UiO. O ye fendon de d dl ll9 SM/ 36

CALCULATION SHEET o 3,, m,,,,,3, CALCULATIONS FOR EQUIP. N O. PROJ. CALC.NO. <po 7 d d //,4 PAGE A/20F i PREPARED BY 7 7 g DATE g REF. DO CUMENTS: CHECKE0 8Y DATE / 1 2 A. 2 S Nt' n i 177ctir1 fen q'o n lo ae/ dl J d ek s'/]7 e n d' 5 / F S A A, Se c. c t. 3 fiicM.- /asre r 0 7 l g , - <7 s " r t > 12 /dh!/*C 13 YO# 'O'

1. 1. l*in! Y Ab

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. o.... y 19 l" d<] 4 f * / h i C /)'a n =

0. /[

21 h* fo/m/ G le cad e de ha t en 7He & f rf) h as a c n +., - ~, g.i. a - e,<..., 34 k

• dis knet ke}

MCjsakay &< ^ in om 37 Ybe l0.~ntun/tr Cd"T' eVesseko n 29 - (o. / s' $ ' o.0c o >7 / ) 30 N 31 I c,7 g f f 0. 0 0 0 ) 7.0 7~, = /x e aa 34 35 36

CALCULATION SHEET u m <av.au, CALCULATIONS FOR EQUIP. N O. PROJ. CALC.h0. p o p gg / /A PAGE A,a OF PREPARED BY DATE g g REF. DO CUMENTS: 7 7 g, CHECKED BY DATE 1 2 & r V t/~b ce l fe r) Won t : 4 b

• e/*r*

D Sef S. "pc e / u<sc ' T~/ ~ Tad n i)efoih ' D~< y s->s. Jos. a.. au s, Ja y,i R L <y. ni. ipt 11 0.09f3

er o'.

h t/V1 iendesr2 h * )

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f = 13 14 fr j/ Z fendon:

• $ * $3

= 0.o/f2 t~en d. 16 ( TH & 6 f no's hr eoc,,f fenden, d 09 Of ll3 18 Or) f Gf be fo/Pr) 19 h * /oS ' /ohg' * :- /o (. f' !?idX. 22 (d e r 7/)* ser dry. $ '/ /?!*x ). 8 8 85 -)( /o 26 X of b* f*'" (o,94 7) 37 28 /)verye tendo, Arc e is g, 5 ( / + 0. f 4 2) L hg" lo '

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= --+ g g_ q,4 1 Ng /) C t, f/Je m in. feix(n,, /c pgf af )<*eNsy fd l3 a3 34 f' 'f end of /ib fOd/ b! /O ')4 //0 / Y = = /off o 36 0'V/4 "'VN ,p pp,,,,,7

CALCULATION SHEET c o u. av..,,,, CALCULATIONS FOR l EQUIP. N O. PROJ. C A LC. N O. 9 o 7(d//A PAGE 4 /4 0F PREPARED BY DATE REF. 00CUMENTS: 7 j y7 jg CHECKED SY DATE 1 2 >>. a CiruunA m A ! D eso B-,/c/ 4 Cr/Mu/ stress et end d ofe 6 4 Qt (<.nell Midfldn! (f,in fTi) Ndef) J/fdSS 9 dec/fon A ~A A-B 'O i z 11 12 l i '3 /< P G3 ad 4r 43 da ds-14 .5 Q du e N ,,y _g fgg gg _ g3 yf( 16 17 Fe + T1 RP 18 V C# AV8 p 'S - 5/ $ ~C[O N 30 fbeJeefton 31 kef 3

0) hm fdb/f3 iO 23 34 b) h)<i *A?e d 0;terf49 5

/ } 26 ib l* C) due 1'D 5 'S OY gy 38 l 39 30 31 1 33 34 35 36

CALCULATION SHEET C A M WV,4,n) CALCULATIONS FOR EQUIP. N O. PROJ. CALC.NO. po -) dd / //) PAGE A/r OF 7 7 y /3 /pg R EF. 00 CUMENTS: OATE PREPARED BY CHECKED BY DATE 1 2 3 A. J. E /)ermiyC]4/e fe <?'a c)$bir in fNSlh*SS af 4 I @tsd of /ik 6 7 8 g) ggf. 9 , p gg;,,, 9 10 je cb'o 's A - B, 11 12 - $~/4

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Ec l SiO4 28 IO of y/ypfmx/ Jheff l: C.o erst Y L/ d N e' e. l 30 31 l 32 33 34 35 36

CALCULATION SHEET u u. m.v.. 2, CALCULATIONS FO R EQUIP. NO. PROJ. CALC.NO. p g 7 g c / //) PAGE 4/t C;* REF. 00CUMENTS: PREPARED BY DATE 7 7 j y 4 pg CHECKED BY DATE 1 2 C) Wo fen so' /e Conc /e/e Shess a Octof h h e e r. seeh o n a -a e

x. y 4s-6

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x. w y.,,a,sa.,sg.

x=-sjrjs

A,.

Jec h o,, ))-B>, 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36

CALCULATION SHEET a n. m.v. 2, CALCULATIONS FOR E QUIP. NO. PROJ. CA LC. N O. 90 7 d d //4 PAGE A/70F PREPARED BY OATE j/, g R EF. 00 CU MENTS: 7 7 CHECKED BY DATE 1 A. d. 3 S f/~d S.S Gkte fo 0f Wf

• end- *[- l'h,U/~d5lA*ff cq in ysi) 6 1

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18 Y .12 2 f -2//$ -J / T2 -/ L 4) -/fAf '~2' $ E: 21 l A ve. qs 22 -2is2 iror 23 duo fo [j 24 l A ve. } -/97/ - / d 70 i 26 dat h fe,, 27

0) Jee fd 4/f f in /)#f J l

j 29 d) /Sr

fSRA, D 4/e C. 6 -4, f/)e dveJe ht" l l

} prediered pter/ros.c /os.s pr A6# c&can f 7'*" don.s ^ 1 34 7'l}e d$fMI f'Cl)'d M f , hf/1[C '5 /n 36 Ase Q su# to & = 19 jr. 9 sue to 6# o, jw

CALCULATION SHEET CALCULATIONS FOR EQUIP. N O. PROJ. CA LC. N O. po 74g /[A PAGE 4// OF PREPARED BY M 7 y jg, g ju jg W 00MEMS: CHECKE0 BY DATE 1 fendon / cod af encr' of Ale A. J. 9 Minimum aveye store. 9 /istes se/sa-are aeyles ave om m

4n 6

3 e ctic o A - 8, A - Ba 8 9 d et 4 ft) -/ H/ -/t 7o 6l 4 3tl'1 ' h (yti ) 11 12 3gj Jf} 13 perm; $g, f je (f* !)) 14 .s 16 f N! h #f'Y 9 - / 4 {0 ~/3f4 11 m ;,,. p, (y31) 1s s ae -/c des f 7 + -p is 2 -sa o r p. ry s;) 80 21 22 Mi n. ove. fe"clo" f28 f1S 23 /cag 4) (Kijs) 34 0) Qg, due la rey'd mo'n. fe 85 y ( /)vege k;Aa/ tena% /oset) Q dae h fx 3, Inifia / fendon /o-s djschiy ew = p er icyi 30 Js tne pcK V c/eep ens p: th e puera yh e m., /*ss o f Aoop R oe/ons ass dss emed to de /3. s1 34 ( P.5Rf, sea *o n E.6.4). Here 35 z ; /ss t ov eg, pns'.n /o os - sjir ' nk= ' ot' p: e 36 n /

CALCULATION SHEET G A M8 QEV. Q82, CALCULATIONS FOR E QUIP. N O. PR OJ. CA LC. N O. po 7g g / /d PAGE A /f 0F PREPARE 0 SY 7g DATE ej/w / pg REF. 00CU MENTS: / i CHECKE0 BY DATE 1 2 E at h be. cro, cbsek - 7 4 Ho. o/ ci n.~pivnh ' % daos w / se:Aon 6 l5 A /0 o s- /[ fer t"+eb l '-0 ' $ r*c8d n. 'O / //>e /P fuersn z. o m inim om ofis 10 pss a of cesss s e-c h a n (Fas K..dy.P S > f 5 0 '& 13 14 B res ;n. eses fin es tesisl' e% 3* ysi n is 18 19 SY E * [/ S. [ s /d) J' $> s.2, 80 = ??6 'c f s. < b? as ,,z a, u aco ce isc br &y, e.chsi,ss-.< :s reaSoisa 4/e anc< cen.rer:/od've. 36 37 28 29 30 31 S 43 34 35 36

CALCULATION SHEET u 2.. m.v.. 2, CALCULATIONS FOR EQUIP. N O. PROJ. CA LC. N O. p# 7 g,f / /g PAGE A 20 0F 7 yg DATE v h /d R E F. 00CUMENTS: PREPARED SY CHECKED BY DATE 1 2 /Y /2 W on lO 0 0' b.d. S M i /) i fr) a m d ') 1*/ e f tlGfM S O f l f t*St~nt-l 8 SOM $c*cfion A. 2. s~ 9 10 CR l# 11 pg e. 12 13 & ~ c. is c (Fs4A. Ec.i) 14 5 / d f [g / O /Cf g }& = [$0 = l /. O .7 17 18 19 20 21 22 A 3. S JUi r)i m M M ?P n afo n l 0 N 1' af se ks'n

=ncY

.4c f & /' 6 i err;<j to w a- +~w,w. ra.naa.. 27 hfd N r f5 ~2 3, job. 3 ef/$ q[oy+nf V " ~er'y, 30 $ ~ /4 ~ 6 }. 43 34 35 36

CALCULATION SHEET a 2.. m. v...,, CALCULATIONS FOR EQUIP. N O. PR OJ. CALC. N O. 907 44/ /A PAGEA J/ OF g4p/g 7 7 g,, DATE REF. DOCUMENTS: PREPARED BY CHECKED BY OATE 1 2 [~D /At W2 ioV/t /enefon 5. 4 5 6 r (, ' q.L " 8 ) 9 l e 10 4 11 r,* h 12 l 13 $' d 14 gQ ~ r \\ 5 16 17 18 g f 7' 9 19 20 21 lrT # (Cu e wd) Sepnl- / N /> ~!" $ [ /'O 0, $~ V = a S 2 '* r~./ ~ 25 /6 2 /.1 /dJ/3' 26 A = /so. r,/p - p. s p-f,e 21 28 fe s $~ d.S23 ~ 0.coe z *) ? s pc~) ~ gg =

1. ' / #A 30 4 /V! d) $ /M&l h

/6n t ' 1k u /os s3 G= = /.og/7 / b "' /> 'b' I

• 34 h
• W C 0]/ &

= / 4.') [ 7 35 36 -- ( o, s g p i o u j.+ c aco2*7x if7ff)

CALCULATION SHEET coa.m.v.a.3, CALCULATIONS FOR E QUIP. N O. PROJ. CA LC. N O. 9o744//4 PAGE 4 0 0F PREPARED BY DATE R EF. 00 CUM ENTS: 7 7 gg g7p fjg CHECKE0 SY DATE 1 P n1 Pn / &, 0=0 ) = / / '.r- = s '7,19) 5

o. a no l ') u / 2 19 7 6

0 ? ? b' S n1 tot h, & =-o j = S *,.= do11 10 - c. o o o l ) >

6., p a

1. -(([

6 = g 12 tri ent & mo, l=3+' 3 o af = 5 - e. c as 27 X 3. * > / 16 11 )) t pom/ C: 18 '"Q ~ 19 X (#'V?[ # #'f # #' ?? ' # ? '~ 20 = 0.1 ? ? To at gg 4 yg, {/f0.17S) = 0 SPf {

== 23 2" f.1}) $ 3 p efics, S. 4. S QlV43 /l T fe ft' llJ t' as ./ 36 }o Q,nyahd hic /ioss v'a // / 0tlCfC e aA s ee as L. Ab # Io 29 o.Pff 30 }-}.e n c C., rf)e sn s' is ; nwin ffn<Woss lO & of Jehl 31 &)d I 3 E'S p4 bj's ot m d of /ib. 34 35 840 - = ? 4 9' 8 s at M.: #nt 36 o.//S

CALCULATION SHEET o,,,, c, y,,,,, CALCULATIONS FOR EQUIP. NO. PROJ. CALC.NO. 90 7gg/ /g PAGE M3 0F PREPARED SY DATE R EF. 00CUMENTS: 7 7 gg q j/ jg CHECKE0 8Y DATE 1 2 A. 9 Top Neod [en dens 5

a. 4. I Crifrcal sfrest at enol o f

/i fe 7 8 Rodia/ sfrecs (Q,in psi) near cen k t. MP s-it sj l 10 11 0; e*< /o p; m gj -s e? 4 s-L -124 14 ~~ pc. 0; sver 16 p 11 the J# *0n 18 a) fem &b /es k 8 19 20 8' byWo7> tea aveye / 33 ay/7 'dIc. c) 9 cyae to E is g, 25 A. 4 - Peeini ssis/e resaeson :n pres /ress ate"< s/ g, /lfe 8 as M He! compress to n xs 4 2.a y si 31 b) /bint strecs S 232,n si (a+ ie f. :-) J3 x s 232 - <- i rt)e 37o,w = 35 + 36 b

1. 1. N 5#

CALCULATION SHEET ci a. m.v.4,.2, CALCULATIONS FOR e E QUIP. N O. PROJ. CALC.NO. 90 7 g g / //) PAGE p v0F PREPARED BY 7 7 g v /p /g R EF. DO CUM ENTS: DATE CHECKE0 8Y DATE 1 2 3 C) /yo' fenn /e concrete Jfr#SS c/j. fo Nnd ^ 4 5 e A.f 27 6 X - 22 G So 8 A X $ 22d 10 H ene< c> co A o/s 12 13 14 X = 22 8 15 18 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 l 33 34 35 36

CALCULATION SHEET G A 268 QV.Q82, CALCULATIONS FO R E QUIP. N O. PROJ. CALC.NO. 90 7 gg / /jf PAGE /25 0F PREPARED BY DATE REF.00CUMENTS: 7 7 g q j/ 7g CHECKE0 8Y DATE 1

4. 4 3 Jffes.s o'u e h cvf"*ld'ln end-o/ Ab

)ksNMC f in si. 1 Ic.f s-n 27 9 10 d' dar to 11 r - ?ff -d> > 4 2// 12 [g -t D #) 13 {!' UU! b* 14 4 -3 3 5 D

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16 & c/ar to 'l - 973 -d>3 -3/$ [i 18 19 20 - s-s2 31 e/ue /a [g 32 4* @ 23 -C2/ g 24 cla t to fe 25 A*f 3 26 Ct) } p p p f/r s

• ,n 27 0'

6.) /kr (SRA, /a 6/e $ 4 - d., the 6tde fob / ~~ 29 fl'ccfiCfed fff$f7'c'$ s* foSf ;$s-Th c' 8eend p<><o,,s is c.) 7.. He~e @ di d"# h & 's ha &< C duo h Fa = 35 36

CALCULATION SHEET

o. a. m.v. a.2, CALCULATIONS FOR EQUIP, NO.

PROJ. CA LC. N O. Q o 7gg //A PAGE 4 24 0F PREPARED BY DATE q/ jg REF. 00CUMENTS: 7 7 CHECKE0 8Y DATE 1 4 4.9 Minimu m aueye tenaon foss ai' esse af /;/e 4 { 0) 5 fg = ~ S~.1 / f2i dste fb de$ t; 7 /~fe4tc//en f/~sni$$/d/t = 2 2 d, si 9 9 due to r.yv mio. re -grpsi. k ~ [bY l Q duf fb des r) lo s s " Mi n. o ve. t~ao n '74 xp. =- 5 hldlfS '

0) A//&

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f. dae to rey' eso'". fe d

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CALCULATION SHEET . 2.. m.v. s.,, CALCULATIONS FOR EQUIP. N O. PR OJ. CALC. N O. pg,) 44/ /A l PAGE AJ70F PREPARED BY DATE 7 ,- - g g j/., j R EF. DO CUM ENTS: CHECKE0 8Y DATE 1 2 fz ndon fa s er /* y,' peg A. 4 f M.' n o in +<m ove e o 4 Ql,079Senf. 6 $ 'n Jec/Jon /)..a. $~, 8 7 = f / +

0. 07 Ty I

~ f. 11

• Ol 03 fa) Grcn mf fenden3 sh

})& ds 12 13

1. W l#

(/* fo) M" 14 s (5m

~ gn /, E. d. / ) ~ ~

17 C!/~r.::psrof ff&on5: 18 19 20 / l* O l0 $ * $ ? $ = $ $.3 kil 2 ai 32 33 24 -/ = / 0/36 x 6 74 = Aff Ic' 9 5 - g, 36 87 38 29 30 31 l .J 34 l 35 36

CALCULATION SHEET o,,,,, y,,,,, ' CALCULATIONS FOR EQUIP. N O. PROJ. CALC.NO. Of 7u c / /A PAGE A2p 0F PREPARED BY 7 7 4,e DATE q fu f a RE F. DOCUMENTS: CHECKED BY DATE 1 2 AY.6 M o'n i a m m bnefon /cemet at jse-/ciy e=nd is, s ersusea nasn.r h) ? 6 keft*f<*'^f 70 br**w***f 3 6/ d, A ~ ) 7, d ~ 26 (Ge/'I), Iericton tujr4 *4e insx. S y ./ he c.- 10 Q = 6*32'

o. is $a rad

= 13 0,,,,=~dd'f' = 0 154?/ f* *' .5

1. ~ '#

16 6 17 h i'l = 0. / $~

• e Ocad l G n c/

K ,g o ir c s. ii ao - o 7 7 s l) - o oss a 7 .;to. aif -/ = T, 2a 2 21

0. / 7/

To 22 = 23 pg,, ,,,,f7f U l 2< aue /o =* 6. fdf /s * /o = =

o. p S.-

25 /$ c'/7Ce 7/2 f try,'n. fe nefon l00cf: 0 / )och f @M d'e. &H N3 e;o.s q7 ed o /' />le 31 =

d. 9.37

/ yg b ]33 cijs j /*e v"Y C/ = d.f3.S* 31 1 J3 34 35 36

CALCULATION SHEET u s.. io v.au, CALCULATIONS FOR EQUIP. N O. PROJ. CA LC. N O. 90 744/ /4 PAGE A>f0F PREPARED BY OATE R EF. 00 CUMENTS: 7 7 q7,jy CHECKED BY DATE 1 ,J) 2 he i o< ci, knw teo --so -s'/ 7l37/ -fc4l%o-ycfl>s~o 19 30 l-3? z ~3 7 E l -3 7% - d> / / / 31 M e tech,o n Note s ). 3) and c) s n' i A. 4, / dls o Offl} 7'O Ne "l0 V" W l*- a's e

x. p

n. p s. t>

je, w ed ny pasfrest af ener of />fe A.S.-2. fe-r<ni.s s,' 4 /e reotae kon in 28 Q ) M e t m anj r e S S i o n the S,*e/on nyer 30 [# l 31 1 })sInt $fVe $ s G 2 3 2 *p J i f or /< A /7 ) '3 b) 34 35 X N 370

• 23 % ~ A S* l
• /*- n /i-; s e A n n of 7~ i n c lu &s Daso wn we

CALCULATION SHEET u u m.v...,, CALCULATIONS FOR EQUIP. NO. PR OJ. CALC.NO. Op 7 d v/ /A PAGE A3/0F DATE R E F. DO CUMENTS: g,g 4 />o N PREPARED SY (,HECKED 8Y DATE 1 2 3 C) do hnsi/e concrefe SMsS ddj'. fs /s'n er. 4 5 Af g p, g 7, 6 1 X - 324 5o 8 A X & f} d 3l' Ha c< a) y ens. e er 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 l 36

.g -.m-. CALCULATION SHEET o,,,,,y,,,,,, CALCULATIONS FO R E QUIP. NO. PROJ. CALC. N O. 9 0 7 g g / /,4 PAGE 432 0F 7 7 g g/w/ REF. DO CUMENTS: OATE PREPARED BY CHECAE0 SY OATE 1 A. S. 3 Jlf'SS /Me dfyi"'Idesf" ed-of */'A fMik '. d' e fu a O i,, p-Ic f 47 ps-27 l m duoE e D "' ->if -se/ y3 10

f. due lv D

~h 2% $0 12 ~.2 / $ ~ $2 3 ~ 77 3 Q clae to - 14 5

• b W*# N i,

16 A ve W du to /e - ra t n is O?

1. ) #U 6) in h A.$ 3 Ofp/y fa rh& G bo ts fa bld.

a t /,=ijeron /osc/ of enet of' /'/e / d i n i /?) u m aye e h.S 4 22 23 G da.e h,c'eSjn f = ~f2/ si ( ('ede<cno n pers7lS S >6 /e = JJ 2 si 27 & da-f lo ry'n'./no's.?e = ~ /d Y l3 i' 29 C O'a e fu desif2 fe =? fi' an ','"l x n yy = gz,,,, / Win #u. Tendon /c as' = J3 h A' V' A/ Y b 34 35 36

CALCULATION SHEET .,,,,,y,,,,,, CALCULATIONS FOR EQUIP, NO. PROJ. CA LC. N O. 9, -) g d / /A PAGE A33 0F k, PREPARED BY 7 7 gj g4 jg REF. DO CUMENTS: DATE CHECKED BY DATE 1 2 A. S* Y Mi /Js '71stin dt/f f fendo n /ood /C ar' fed af 4 ffe:en t. 6 Se/e M iy to } 4. $ r. A, Circam$-renfra / fends o r. 10 Ty - /. o i o s, 3 g.2 get a,,: = /~o e Crossdrod tendo nr 14 [f = / o / 3 0 .x d f 2. ,)GC4 /5] a 16 17 1s A. S. C M:nima n tendon /0a a's a/ jacAvy e-d - }; \\ p 20 Fue circam/etenha / h n 4 s s. 21 ktferf' j h h A d. $, 24 di t*nd */ /*fe gg 3 yg pY'.1 =. Offr 26 27 d44 d 7/ kip at pp.ren + = 28 0-{fS~ / / 29 30 31 9 .J 34 35 36

l CALCULATION SHEET 4 G A 264 (M EV. 4/82) l CALCULATIONS FOR EQUIP. N O. PR OJ. CALC. NO. O 3 pdg //A PAGE Afp0F DATE R EF. DOCUMENTS: PREPARED SY 7 7 g ag,gg CHECKE0 BY DATE 1 2 \\,4\\ cf l ^ tse yse crouhew ri,d ~ r. 4 ge,Q,y,y h Jes,a.,y u i 4_ B ar. r.e f a y g -at + Tenso n c; n w ,n n. p aa J sos 8 3 l f\\ 10 9, 3' *1 ~ p/an 11 u d '-5 ~ (2-7 p/aoe) 12 - 1'g ' G l 13 i W~ Sf" 14 d .5 f '- f

• f f

^ Elevanon @ ~ 15 '** ' (X -d p/si,a) 19 20 (' 21 /endon Tu bt 23 24 l h, = ']

• 7

.>-lto at of. = 0 26 h, * / ]. 0 7 * + 5-3 lo f red o 28 2' 9, = gi ' 03 ' = s.; s, a w 30 l ~ ).z =6/&>5'a = 30 8/> 43 34 35 36 i

CALCULATION SHEET G A M (REV. OM, CALCULATIONS FOR EQUIP. N O. PROJ. CA LC. N O. po 7gg/ /A PAGE Aff0F PREPAREDBY DATE EF. 00 CUMENTS: 7 7, gg d /2o//g CHECKE0 8Y DATE 1 2 }(

0. / [.

a n c4 k = 0. 0 0 0.? y = 3 4 ~ **'T [# *[V ~' O AS* 5 * *- N d) '*'*** O " A* I 5 6 = 0 808 [o US* Q fo / f, 0 ye. / = 10 $se. = o.90/ 12 Hence Me mio. senaon /ascic a t j o c k. y ~.< 14 0 ~~ f7f t. 16 3g2 350 = 'I O.90/ 18 19 ggg 20 J84 21 22 23 24 25 ( 26 27 28 29 30 31 J3 l 34 35 36

CALCULATION SHEET c4 u. m.v.u.u CALCULATIONS FOR EQUIP. N O. PROJ. CA LC. N O. pg 7 g g j /g PAGE 43( OF RE F. DO CUMENTS: DATE PREPARED BY q jp, jg 7 7 g CHECKE0 BY DATE 1 2 AJ Sesu/f 4 5 ~ Minim uin /enson J.oas Ryuired 8 9 10 [e n den Groaff 11 Jer> don /.c ael CirCam$ Co s>,l' 13 Verh'ca/ Cros shead, Aejairw'cxjt ( B erre / ) C//ead)' g 15 f /0yQ j3$0 d'[3 d/C - 16 freseo?(4/>9/M) 17 18 Al Jeckia 64 19 / sIo/ ydf 7 ft yd3 offtesentc1,6t/Nj 20 21 8 ve}r Of /o6/ $2 f &]4 i}C 22 & </ 4M 23 24 8/ fa rk.s]s15M , o py fag 96 4 )25 25 at & */ hh 28 27 f ))qJed on /Dj bfact fe:</h Gbick di e mo/* Cfsbb* l than the herfom b er et pra /h 31 32 33 34 35 36

907dd/[d. f A3[ GA1543(REV.11/80) CALCULATION REVIEW REPORT "LE' APPROVAL LEVEL * ~! b# QAL LEVEL I DISCIPLINE SYSTEM 00 C. TYPE PROJECT DOCUMENT NO. ISSUE N0JLTR. 3 // A (t $ /feo INDEPENDENT REVIEWER: NAME Ane/d A. $c$dsrb ORGANIZATION <Wre c hr* / h ohe 44# Ae/[/a 8ree<4 Y W 8d-REVIEWER SELECTION APPROVAL: BR MGR NA DATE / \\ REVIEW METHOD: YES NO ERROR DETECTED ARITHMETIC CHECK $4c" Sel&O LOGIC CHECK N ALTERNATE METHOD USED SPOT CHECK PERFORMED N MC COMPUTER PROGRAM USED .N REMARKS: (ATTACH LIST OF DOCUMENTS USED IN REVIEW) f5/1A .7ecfim 5 c, M 2 k op e.n d k 5 GAD 2 -/2, Shen &jrn & /"Scy/ctw OC-//- / ASmE Ca-c tu, Div. 2. cref s) fensr/c f/et / Yo /*S7$ N $4fs.f4monf5p p r - +.s w & t s e ~ ul i ep POV W ufe 0, e AsdW.~f' cwt / pas te inD rm %. /~.c/-e. Sfw pa/aefc4 7b Am Neww CALCULATIONS FOUND TO BE V LIO AND 0 BE CORRECT: !/ NATURE [ INDEPENDENT REVIEW DATE -SIG M / /

P-0644t A& L.# 8 s __y-g _____L-- NN

n:5.1::. :; : :. : a u w m. :c1cra n 5:55:

May 7, 1984 Fort St. Vrain Unit #1 P-84135 Mr. Jchn T. Collins, Regional Administrator U. 5. !;u-lear Regulatory Com.ission 611 Ryan Plaza Drive, Suite 1000 Arlir; ton, Texas 75011 " ^MGS,_

SUBJECT:

PCRV Tendon System"'- Relaxation,Curva k REF:

1) P-84110, Warembourg to Collins, dated 4-12-84

2) G-84120, Collins to Lee, dated 4-19-84

3) P-84119, Warembourg to Collins, dated 4-25-84

Dear Mr. Collins:

Attached are the Fort St. Vrain PCRV tendon system relaxation curves containing the " minimum design"j lines as requested by Mr. Harold Polk. The minimum design values for each general classification of PCRV tendons was verbally transmitted by Milt McBride to Messrs. Jim Miller, Dick Ireland, Phil Wagner and Harold Polk during a telephone conversation on May 3, 1984. The purpose of this letter is to formally submit the information discussed in ths May 3,.1984 telephone conversation. If I can be of further assistance or if additional information regarding the tendon relaxation curves is required, please let me know. Very truly yours, .h~ A'A'Lu M' Don W. Warembourg Manager, Nuclear Production Fort St. Vrain Nuclear Generating Station DWW/djc Attachment cc: H. L. Brey f SU)iMS'

l' a E e g e ..t8 " ' f ] T.f.* "". ' ~ ~~ ' ' [. ".*., f f l _. s .A i . >. r. se_go.

o. q.'_ 6. i.. g : i 0. ;7.r.,y.i 3 g..,. _-.

-4 I 7, ,, 3 4 t...e ,,I. .,,t1. .... ri r-iC ,. (1 R X IfiUi'l ~__

m..

+ ._,,, 3 L_u. . _ __. L. n_u __ e_ u_ _ _ _. _ _. _ - _._ E r 4. I r j._ p_ =_ r. ip. j . ~m'_, _ ? g g r r -- 1 DDD "r - =. 3 P M 6 = u.3 ~ gog ..s Is 2 2 3 4 s e .- e s ic ao as 30 tit 1E AFTER ItJITIR!_ TErJ5IO!J3 NG (YEARS) CROSS HE Fi D TENDON ( t1I N It 1U t 1/ t 1 A XI t 1U t 1 REL AX AT I O!O IB00 L = 1400 [- g M IN301Urt : fp 3 D.,D_ _ _ _ _ _ - - - ~ - t tRXD1Ut t. u. u -t 5 j oga !..L OAD. CE L L.......... ...,............,.2 . J. L. G. E:DD : t II t 1. D:.5 v'.tJ t_ e- ,3 ia E 2 E D D ;- i g O ~ --y 4 09 p.. r T 200 ;.. .i 1 3 2 3 4 5 e i S S 10 35 20 25 30 tit 1E AFTER INITIAL TENSIGNING (YEARS) i l I O

1 e _ r c....e_ir : c = r e i r T. c i .L a. c c. i !.: r. i,-} .,, wi I .s...,..t,: ,,=.>*._l.g.. ... - - _1.i., J 8

,n*"l 1

.....:.. s _i t f ) l,,.,.*,- I .t - ~1 ra I r J 7 f 12 i M..: E. Iih_l'1 _ _ _.. _ _ ~ ~ ~ - - j r. g } *., *gh _ g"* t s q 2.... L_O i:i L _C E_L L _.. _. _. _.. _.. _.. _. ' _.. _.... _...... _.. _.. _.. _. 3 g u g. .[tC" R T s > j

g. :~. 3 2. f.* '." f }.

.t m St.p [t r 6' 4 c.3 E.. / _d r-t gp ~ . ~.. .. ~ 1 ll 3 2 3 4 s s e e to 23 ac as ac tit 1E AFTER INITIAL TENSIONING (YEARS) CIRCUNF EREl-JTI AL l1ALL T El-JDOf J 01INIi1 Lit 1/t1AXIt1Ut1 RELAXATI0f D 1 E D_e _ j4eg qn m 2 riIta t1Ut1 - 32 00 t1F.~i:Ir53r I ' -2 __ ~ ___ ~~ ^ t L_., a_ ~ _ ~ ~ _ ' _ _. L. _ 3 DDD...L__O.FiD. C.E, L d ~ _ _ _ .e, . t 1.t 4. v =. e s. o. y w cop 1 2 3 4 5 5 i e 5 10 35 2D 25 30 tit 1E AFTER INITIAL TENSIONING (YEARS) I ]}}