ML20096E946
| ML20096E946 | |
| Person / Time | |
|---|---|
| Site: | Summer  |
| Issue date: | 01/08/1996 |
| From: | Don Krause SOUTH CAROLINA ELECTRIC & GAS CO. |
| To: | |
| Shared Package | |
| ML20096E939 | List: |
| References | |
| DC03050-002-R00, DC03959-002, DC3050-2-R, DC3959-2, NUDOCS 9601230112 | |
| Download: ML20096E946 (53) | |
Text
. . _ . . _ _ _ ._ ._. . ._ _ . _ _ .
ES-412, Attach.1, Rev.1 SUsJECT CODE SOUTH CAROLINA ELECTRIC AND GAS COMPANY PAGE .
j 208 CALCULATION RECORD 1off/6 CALC TTTLE CALC NO. REV STAT !
Rs VemCALTENDON FORCE LOSS AND STH PERIOD SURV. DC03000 002 0 1 3
ACCEPTANCE CRITERIA CALCULATION !
, PARENT DOCUMENT SYSTEM SAFETY CLASS CALC. CLASS
! M 60 M B6 lel QR SR I 11 III IV V VI I
ORIGINATOR DISC ORGANIZATION DATE XREF NO.
l i KRASUE, D. CS 10/1395 NOIE!
A. CALCULATIONINFORMATION i CONTENT DESCRIPTION:
1NIS CALCULATION IDENTIFRS THE R8 TENDON FORCE LOSSES AND THE STH PERIOD SURVEILLANCE ACCPTANC5 CRITERfA FOR THE VERTICAL TENDONS.
4 AFFECTED COMPONENTS / ANALYSE:
RB TEPCONS VT, V8, V9, V39, V40, V41, V89, V90, V91
~
l [F6RINFORMATION ONLY #
CONTAINS PRELRNNARY DATA / ASSUMPTIONS:
@ NO YES, PAGES i <
COMPUTER PROGRAM USED: @ NO O YES,vAuDATEDtOTHERS)
! O YES. VALIDATION NOT REQ'D. [REF. 3.5]
YIS, VALIDATED [ES-412] O PROGRAMVALIDATIONCALCULATION
- B. VERIFICATION l VERIFICATION SCOPE i
.YERIEYIJCLUATION METHODOLOGY. udpl.fT AND _Amma8710 Nit. PBtFOful flPOT Claser OF MATH.
j
- 1 VERIFIER: PARSONS, G. P. l ASSIGN BY: WHORTON, R. B. g.g,p4gg g g4oggj[gg i
'/ LEAD ENGBdEER (DESIG75!E)/DATE l VERIFIER / DATE APPROVAL /DATE I
v .v
~~4
/ r
//6'/M Me l- B - %
d C. fu! CORDS REE m-FRAME NUSABER:
TO PRS:
J NT/DATE ORIGINAL MAINTAINED BY:
4 DsTRisuTION: CALC FILE [OR;GINAL)
DGE / SYSTEM ENG /DE FILE 20.0802 [ ATTACH.1 OPE.Y. COPY) 9601230112 960118 PDR ADOCK 05000395 P PDR
ES-412 ATTACHMENT l REVISION 1 PAGE 2 OF 2 SOUTH CAROLINA ELECTRIC & GAS COMPANY PAGE REVISION
SUMMARY
2 OF y4 CALCULATION NO.
DC03050-002 REV NO.
SUMMARY
DESCRIPTION 0 This calculation identifies the predicted forces and acceptance criteria for the retentioned vertical RB tendons that were selected for the fifth period surveillance and the associated adjacent tendons.
O CONTINUES ON PAGE ES 412/ ATTACHMENT VREVISDN 1 e
4 i
ENGINEERS Serial 10606-I TECHNICAL WORK RECORD Engineer G. Parsons Date 1/8/96
- ProjectTitle RB Vertical Tendon Force Calculations Page) of_
i 'OW: Tr: _Mio e1U r "L .AL.
Page J -07 % .____ _
l VERIFIER'S COMMENTS ,
1 l The purpose of thle TWR is to document the verification performed on DCO3050-OO2 l' Rev. O. The verifier has reviewed the calculation methodology, the inpute and the j assumptions. A spot check of the math was also performed. This calculation identifies the predicted forces and acceptance criteria for the retentioned vertical RB tendone - ,
that were selected for the fifth period surveillance and the associated adjacent
- tendons.
1 l'revious tendon force predictions were based on subtracting a series of estimated j force lose factore from the original lock-off force value. This calculation replaces the original calculations because the re-tensioning which occurred after the last ,
, surveillance significantly changed the tendon forces. This calculation uses the same 4
approach and many of the same inpute as the original tendon force predictions. Each !
component of the calculation le examined for the affect of the tendon re-tensioning. ,
1 The previous calculatione are verified documente and are reasonable and accurate for this application. l
- i j
i i
i 1
i 4
ENGINEERS Serial TECHNICAL WORK RECORD Engineer D.D.Krause Date 10/13/95 Project Title Predicted Force - Retensioned Vertical Tendons Page / of_33 ,
(Fue10 A:\TENDONT. DOC)
Cale: DC0 3 C#~* b RW #" '
t-Pa
- 'ge--* y _Of c .;-
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1.0 OBJECTIVES (1) Develop general methodology for pedicted liftoff force for the retensioned vertical tendons. ,
(2) Develop the predicted liftoff forces for the vertical tendons for Surveillance Period 5 (15th year after Str). +
1.1 DESIGNINPUTS 1.1.1 The design inputs consist primarily of previous V.C. Summer Station structural calculations these are clearly listed ;
when they are referenced in the body of the calculation.
- 1,1.2 Other documents referred to in the calculations include:
(1) SP 228 Surveillance of the Reactor Building Post Tensioning System.
(2) Reactor Building Catainment Fourth Period Surveillance Tendon Forces Report, May 1990.
(3) Vertical Tendon Retensioning of the V.C. Summer tinit 1 Reactor Building Report by Precision Surveillance Corp.
1.2 ASSUMirrIONS Assumptions are identified in the calculation where used. There are no assumptions requiring future confirmation.
1.3 COMPUTER USE No computer software was used to perform calculations. ,
1.4 CALCULATION l
The prestress losses addressed in this calculation are those identified in R.G.135.1 and include:
- (1) Elastic shortening.
- (2) Concrete creep.
(3) Concrete shrinkage.
(4) Wire stress relaxation.
4 Veiif =:: -7 Annroval Tvos of Verifir =+ian Verifier Sinna'nre / Data hantore / Date
l ENGINEERS Serial TECHNICAL WORK RECORD Engineer D.D.Krause DWe 10/5/95 Project Title Predicted Force - Rotensioned Vertical Tendocs Page 2 of._
Cale: 000~3e ce
- o t
__ Rev._ O Page_ g- g 1.4.1 Elastic Shortening g ;
Ref.: Cale, Book Z 4J. 1:18.6, p. I and 1:18.7, p.8 l
l All of the vertical tendons were retensioned during the 4th lendon surveillance in 1990. Therefore, the elastic shortening losses for the vertical tendons are relative to the additionalincrement of vertical force consisting of the difference between the lockoff force at retensioning and the force previously existing in the tendonsjust prior to retensioning.
Liftoff forces were measured for all vertical tendons prior to setensioning. While the liftoff measurements for the last tendons retensioned would have been affected by the elastic shortening due to the tendons previously retensioned as the work proceeded, the effect is minor and disregarded in this work. The average of the liftoff measurements taken for all the i vertical tendons is 1195.8 kips as calculated from the lockoff force data included as the next pages in this calc The average force in the vertical tendons at the time of the 4th surveillance based on the average of the normalized liftoff l
forcesfor sAs surveyed vertical tendons is 1190 kips (Table 2-1 of the 4th Period Surveillance Report).
From 1:18.7, p.8, i
Ao a= increment of compressive stmss in concrete resulting from the retensioning.
I F, = average retensioned tendon force = 1372 kips (calculated from data on following pages) i
)
Fu = average tendon force at 4th surveillance = 1195.8 kips (see following pages)
Ac = Average area of concrete per vertical tendon = 2210 sq. in. (Calc. Book Z-3D,1:18.3, p.185)
! Aow = (F, - Fa) + Ac = (1372 - 1195.8) + 2210 = 0.07973 ksi Fw = Maximum elastic shortemng loss for first vertical tendon retensioned.
Fw = Ao4 x Ec/Es x At At = Area of tendon = 8.3453 sq. in.
Fw = 0.07973 ksi x 29/4 x 8.3453 sq. in. = 4.8 kips Use Fw = 5 kips
- Ver =-,
Tvoa of Ve;T= -i A. - - wal Verifier hamhwe / Data h r.st w e / D ate
ENGINEERS Serial TECHNICAL WORK RECORD Engineer D.D.Krause Date 10/5/95 Project Title Predicted Force - Retensioned Vertical Tendons Page 3 of_
- Calc
- DC03acs. .,2 Calculate The Individual Tendon Elastic Shortening Loss Page_ c. ^ NW'M
_ _of The expression for the clastic shortening for each tendon is:
Fw" = n, / N x Fw F = 5 kips n = stressing sequence for the individual tendon. For this calculation it is sufficiently accurate to assume all tendons restressed in a single day comprise one sequence.
n, = N - a N = Totalnumber of sequences Ve,-ificah Tvos of Verification hwal Verifier % nature / Date % nature / Date
ENGINEERS Serial ,
Engineer s u m TECHNICAL WORK RECORD Date Project Title Tab Page b of Calc: DC02 o co -eo 2. Rev. o Page 7 of, y[
R e p.1 puc..s , o samu.*ut e ew. n e a.r , ,
VEftTICAL TENDON ItETENSIONING OF Tile g g gila,L. @ bou M TE.N180A)8% ,
V.C. SUMMER UNIT 1 ftEACTOlt IlUILDING 94, g gy. g '
TABLQ VI
SUMMARY
OF DATA Si!EETS 3, 21, A & WORK SilEET B LIFT OFFS DEFORE AND AFTER RETENS10NING, TOP (SilOP END) ONLY JACK 11EPORE RETENSIONING AFTER RETENSIONING NO.0F TENDON EFFE- LIPT OFF SHIM LIFT OFF SilIM ID. AREA CONSTANT CTIVE TilCENS TilCKNS (IN2) (KIP) w1Res Pit ESS . FORCE (IN) PRESS. FORCE (IN)
(PSil (KIP) (PSI) (KIP)
VI 9362 210.999 -9.479 170 1 5590 1170 14.10 65E0 1375 15.90 V2 9362 210.999 -9.479 170 5548 1161 13.55 6535 1369 15.60 V3 9362 210.999 -9.479 170 5670 1187 13.80 6520 1366 15.30 V4 ** 9362 210.999 -9.479 170 5678 1189 13.90 6573 1380 15.60 V5 9362 210.999 -9.479 170 5700 1193 14.40 6500 1362 15.90 V6 ** 9362 210.999 -9.479 170 5477 1846 14.10 6447 1353 16.00 V7 9362 210.999 -9.479 170
- 5720 1197 15.90 6453 1352 17.25 V8 9363 211.033 -7.500 170 5493 1152 14.65 6620 1390 16.65 V9 9363 211.033 -7.500 170 5647 1184 13.95 6590 1383 15.70 V10 9363 211.033 -7.500 170 5710 1197 13.30 6600 1385 15.00 Vil 9363 211.033 -7.500 170 5713 1198 14.10 6592 1304 15.75 V12 9365 209.970 -4.664 170 5663 1184 13.35 6503 1361 14.95 V13 9363 211.033 -7.500 170 5653 1185 13.10 6558 1376 14.90 Vid 9363 211.033 -7.500 170 5677 1191 13.40 6580 1381 15.20 V15 9363 211.033 -7.500 170 5590 1172 13.75 6530 1371 15.60 V16 9365 209.970 -4.664 170 5710 1194 14.00 6550 1371 15.60 V17 9363 211.033 -7.500 170 5830 1223 13.05 6507 1366_ 15.10 V18 9363 211.033 -7.500 170 5713 1198 14.40 6510 1366 15.85 25 s 2552; u sse Verification Approval Type of Verification Verifier Signature /Date Signature /Date
ENGINEERS Serial TECHNICAL WORK RECORD Endneer s e m Date Project Title Tab Page 5 of
- Calc
- DCol o co -co z. e Page e og 9g g VERTICAI, TENDON HETENSIONING OF Tile V.C. SUMMER UNIT 1 REAC'1'OR llull, DING TADL4 V: (CONTINUE)
JACK DEFORE RETENSIONING AFTER RETENSIONING NO.0F TENDON EFFE- LIFT OFF SIIIH LIFT OFF SIIIH ID. AREA CONSTANT CTIVE THCl;NS TilCENS (IN2) (KIP) WIRES . PRESS. l'ORCE (IN) PRESS. FORCE (IN)
V19 9363 '211.033 -7.500 170' 5772 1211 14.10 6582 1382 15.60 V20 9365 209.970 -4.664 170 5870 1228 14.30 6510 1362 15.30 V21 9363 211.033 -7.500 170 5777 1212 13.70 6563 1378 15.25 V22 9363 211.033 -7.500 170 5690 1193 13.00 6610 1387 15.70 V23 9363 211.033 -7.500 170 5983 1255 14.90 6570 1379 15.6'O V24 9365 209.970 -4.664 170 6087 1273 15.00 6550 1371 15.90 V25 9363 211.033 -7.500 170 5666 1188 14.05 6560 1377 15.55 V26 9363 211.033 -7.500 170 5632 1181 13.60 6517 1368 15.05 V27 9363 211.033 -7.500 170
- 5790 1214 14.20 6590 1303 15.60 V28 9365 209.970 -4.664 170 5720 1196 13.60 6500 1360 15.10 V29 9363 211.033 -7.500 170 5713 1198 13.60 6490 1362 15.10 V30 9363 211.033 -7.500 170 5533 1160 14.90 6510 1366 16.65 V31 9362 210.999 -9.479 170 5777 1209 13.00 6478 1357 14.20 V32 9365 209.970 -4.664 170 5800 1213 12.40 660.0 W 81 14.10 ff 9362 210.999 -9.479 C5553' C 137P V33 9362 210.999 -9.479 170 5730 1200 13.05 6518 1366 13.95 V34 9363 211.033 -7.500 170 5637 1182 11.60 6510 1366 12.95 V35 9362 210.999 -9.479 170 5565 1165 14.40 6460 1354 15.40 26 I## #### E # 3 #
Verification Approval Type of Verification Verifier Signature /Date Sionature/Date
- .n. -n _ - , - - -
ENGINEERS Serial "9 ""
- TECHNICAL WORK RECORD Date Project Title Tab Page 6 of Caic: DC0 3e Sb-ee 2- gey,_ _ o
=
Page 9 ot u, .
VEHTICAL TENDON RETENSIONING OF THS V.C. SUMMER UNIT 1 REACTOR DUILDING TABLE V (CONTINUE) 4 JACK BEFORE RETENSIONING AFTER RETENSIONING NO.OF TENDON EFFE- LIFT OFF SHIM LIFT OFF SHIM ID. AREA CONSTANT CTIVE TilCKNS TilckNS (IN2) (KIP) WIRES PRESS. FORCE (IN) PRESS. FORCE (IN)
(PSIl (KIP) (PSI) _( KIP)
V36 9365 209.970 -4.664 170 5687 1189 12.70 6573 14.15 ff 9362 210.999 -9.479 6547 1375' 1372 V37 9362 210.999 -9.479 170 5700 1193 16.30 6535 1369 17.70 V38 9363 211.033 -7.500 170 5657 1186 14.20 6560 1377 16.00 V39 9362 210.999 -9.479 170 5697 1193 14.00 6555 1374 15 . 7'u V40 9365 209.970 -4.664 170 5587 1168 13.50 6490 1358 15.20 ff 9362 210.999 -9.479 6517 1366#
V41 9362 210.999 -9.479 170 5663 1185 13.90 6580 1379 15.70 V42 9363 211.033 -7.500 170 5620 1179 13.50 6580 1381 15.40 V43 9362 210.999 -9.479 169 5855 1226 15.15 6553 1373 16.55 V44 9365 209.970 -4.664 170 5780 1209 13.60 6530 1366 15.10 ff 9362 210.999 -9.479 6513 1365v V45 9362 210.999 -9.479 170 5610 1174 14.30 6560 1375 16.15 V46 9362 210.999 -9.479 169 5913 1238 12.75 6565 1376 13.90 V47 9362 210.999 -9.479 170 5697 1193 14.00 6580 1379 15.60 V48 9362 210.999 -9.479 170 5700 1195 13.35 6560 1375 15.00 V49 9362 210.999 -9.479 170 5693 1192 13.30 6460 1354 15.00 V50 9362 210.999 -9.479 170 5675 1188 16.40 6513 1365 18.10 27 E#4WO d '*#' 58 Verification Approval Type of Verification Verifier Signature /Date Signature /Date
.-. .:-. -.....v n....- ._ . - .. . - __
i J
ENGINEERS Serial ngineer 1 % ,a TECHNICAL WORK RECORD Date Project Title Tab Page 7 of Calc: DC0_3eco . e ( g*,
Page fo
_of Yc ;
2 VEltTICAI. TENDON ItETENSIONING OF Tile V.C. SUMMER UNIT 1 HEACTOli llull. DING TAULE V (CONTINUE) 4 JACK DEFORE RETENSIONING AFTER IlETENSIONING I NO.OP TENDON EFFE- I.IPT OPP S!!IM LIFT OPP S!!IM ID. ADEA CONSTANT CTIVe TitCKNS TilCKNS (IN2) (KIP) WIHES PRESS. FOlt CE (IN) PRESS. FORCE (IN)
V51 9365 209.970 -4.664 169 5733 1199 12.00 6536 1368 14.60 V52 9362 210.999 -9.479 170 5673 1188 14.15 6590 1381 15.95 V53 9362 210.999 -9.479 170 5740 1202 15.40 6500 1362 16.90 V54 9362 210.999 -9.479 170 5600 1172 13.20 6490 1360 14.90 V55 _9362 210.999 -9.479 170 5787 1212 14.40 6560 1375 15.90 V56 9362 210.999 -9.479 170 5717 1197 13.55 6570 1377 15.20 V57 9362 210.999 -9.479 170 5820 1219 14.10 6577 1378 15.60 V58 9362 210.999 -9.479 '170 5677 1188 13.05 6503 1363 14.60 V59 9362 210.999 -9.479 170 6120 1282 15.30 6550 1373 16.10 V60 9362 210.999 -9.479 170 5973 1251 14.55 6537 1370 15.50 V61 9362 210.999 -9.479 170 6017 1260 15.10 6547 1372 16.10 V62 9362 210.999 -9.479 170 5650 1183 14.00 6456 1353 15.45 V63 9365 209.970 -4.664 170 5813 1216 14.20 6570 1375 15.55 V64 9362 210.999 -9.479 170 5720 1197 14.20 6476 1357 15.70 _ )
V65 9362 210.999 -9.479 170 # 5740 1202 14.10 6630 1389 15.75 V66 9362 210.999 -9.479 170 5756 1205 13.75 6596 1302 15.30 V67 9362 210.999 -9.479 170 5680 1189 14.20 6620 1387 16.00 i
V68 9362 210.999 -9.479 169 5863 1228 15.60 6553 1373 16.70 1 2B ** OW 1
l Verification Approval Type of Verification Verifier Signature /Date Signature /Date i
. - ~ -. - - . . - .--
ENGINEERS Serial TECHNICAL WORK RECORD ngineer h W u,o Date Project Title Tab Page 8 of
'CaE DC0_3 are -e. 2, ' Rey, ' o
---===
lI j Y$ $
VERTICAI. TENDON ItETENSIONING OF TIIE V.C.SUMMEH UNIT 1 REACTOR DUl! DING TABLE V (CONTINUE)
JACK BEFORE RETENSIONING AFTER RETENSIONING NO.0F TENDON EFFE- LIFT OFF SHIM LIFT OFF SHIM ID. AREA CONSTANT CTIVE THCHNS TilCHNS (IN2) (KIP) WIRES PRESS. I'ORCE (IN) PRESS. FORCE (IN)
(PSI) (KTP) (PSI) (KIP) v69 9362 210.999 -9.479 170 5733 1200 13.80 6448 1351 15.25 V70 9362 210.999 -9.479 170 5693 1192 13.70 6586 1380 15.15 V71 9362 210.999 -9.479 170 5710 1195 13.90 6460 1354 15.30 V72 9362 210.999 -9.479 170 5606 1190 14.10 6626 1389 15.80 V73 9362 210.999 -9.479 170 5750 1204 14.30 6560 1375 15.90 V74 9362 210.999 -9.479 170 5808 1216 14.20 6510 1364 15.65 V75 9362 210.999 -9.479 170 5733 1200 13.80 6460 1354 15.10 V76 9362 210.999 -9.479 169 5860 1227 6613 1386 V77 14.05 15.45 _
9362 210.999 -9.479 170 5840 1223 13.75 6630 1389 15.30 V78 9362 210.999 -9.479 170 5630 1178 13.60 6606 1384 15.30 V79 4362 210.999 -9.479 170 5557 1163 13.80 6620 1387 15.80 V80 9362 210.999 -9.479 170 5713 1196 14.10 6470 1356 15.60 V81 9362 210.999 -9.479 170 5687 1190 13.30 6560 1375 15.10 V82 9362 210.999 -9.479 170 5736 1201 14.60 6487 1359 16.10 V83 9365 209.970 -4.664 169 6250 1308 14.85 6460 1352 15.35 V84 9362 210.999 -9.479 170 5686 1190 14.40 6613 1386 16.10 V85 9362 210.999 -9.479 170 5700 1193 14.60 6600 1383 16.40 V86 9362 210.999 -9.479 170 5656 1184 13.10 6550 1373 14.90 39 2 pipse v 2 246t7 '
1 Verification Approval Type- of Verifi :ation Verifier Signature /Date Signature /Date
. . . \
l 1
1 ENGINEERS Serial n nee b. h ,3 a TECHNICAL WORK RECORD Date Project Title Tab Page 4 of i
, Calc: DColoco- ce g pgy, ,
Page- Ia of yg -
VEltTICAL TENDON ItETEN!!IONING OF TIIE i V.C. SUMMER UNIT 1 ItEACTOltIlull. DING TABLE,VI (CONTINUE)
JACK BEFORE RETENSIONING AFTER RETENSIONING NO.OF TENDON EFFE- LIFT OFF SiiIM LIFT OFF SHIM ID. AREA CONSTANT CTIVE THCKNS TilCKNS (IN2) (KIP) WIRES Pit ESS . FORCE (IN) PRESS. FORCE (IN)
(PST) (KIP) (PSI) (KIP)
V87 9362 '210.999 -9.479 170
- 5603 1173 13.10 6580 1379 14.80 V88 9362 210.999 -9.479 170 5696 1192 14.10 6470 1356 15.60 V89 9362 210.999 -9.479 170 5710 1195 14.10 6600 1383 15.90 V90 9362 210.999 -9.479 170 $ 5670 1187 13.80 6503 1363 15.60 V91 9362 210.999 -9.479 170 5720 1197 12.40 6520 1366 13.9'O V92 9362 210.999 -9.479 170 5626 1178 13.10 6460 1354 14.70 V93 9362 210.999 -9.479 170 5727 1199 13.90 6520 1366 15.35 V94 9362 210.999 -9.479 170 0 5816 1218 13.80 6580 1379 15.30 V95 9362 210.999 -9.479 170 5700 1193 13.40 6560 1375 15.00 V96 9362 210.999 -9.479 170 5726 1199 13.40 6530 1368 14.80 V97 9362 210.999 -9.479 170 5657 1184 13.80 6590 1301 15.60 V98 9362 210.999 -9.479 170 5516 1154 13.60 6606 1384 15.60 V99 9362 210.999 -9.479 170 5660 1185 13.80 6560 1375 15.60 V100 9362 210.999 -9.479 170 5707 1195 13.70 6603 1384 15.40 V101 9362 210.999 -9.479 170 5613 1175 13.90 6520 1366 15.60 V102 9362 210.999 -9.479 170 5790 1212 14.20 6590 1381 15.75 V103 9363 211.033 -7.500 170 5593 1173 14.10 6600 1385 j 6.00 V104 9362 210.999 -9.479 170 8 5673 1188 14.10 6597 1382_ 15.90_
30 I #'aW bY o
~
b Verification Approval Type of Verification Verifier Signature /Date Signature /Date
ENGINEERS Serial Engineer D.' Wa TECHNICAL WORK RECORD Date Project Title Tab Page IO of Cale: DC0_2eco f be- L3 y g=~
VERTICAL TENDON RETENSIONING OF T!!E V.C. SUMMER UNIT 1 REACTOR DUII. DING - .g._ ba d
%,: q TABLE V (CONTINUE) 4
.fACK HEFORE RETENSIONING APTER RETENSIONING NO.0F TENDON EFFE. LIFT OFF SHIH LIFT OFF SHIM iD. AREA CONSTANT CTIVE THCKNS TilCHNS (IN2) (KIP) wings PRESS. FORCE (IN) PRESS. FORCE (IN)
V105 9363 211.033 -7.500 170 5623 1179 13.90 6510 1366 15.50 V106 9362 210.999 -9.479 170 5607 1190 13.60 6570 1377 15.20 V107 9363 211.033 -7.500 170 5703 1196 14.30 6473 1359 15.90 V108 9363 211.033 -7.500 170 5505 1154 12.85 6535 1372 14.50 V109 9363 211.033 -7.500 170 5600 1174 14.10 6572 1379 15 . 9'u V110 9363 211.033 -7.500 170 5587 1172 13.65 6590 1383 15.50 V111 9363 211.033 -7.500 -170 5660 1187 14.10 6620 1390 15.00 V112 9363 211.033 -7.500 170 5633 1181 14.25 6527 1370 15.90 V113 9363 211.033 -7.500 170 5630 1181 14.10 6550 1375 15.05 V114 9363 211.033 -7.500 170 5630 1181 13.80 6522 1369 15.60 V115 9363 211.033 -7.500 170 5607 1176 14.40 6557 1376 16.10 LEGEND:
N / N SQ5.1 SiiOWS 169 WIRES. Ib* *I -
(( /J7,797 /6' SQ5.1 SHOWS 168 WIRES.
8 3 PROTRUDING (1/16") WIRES ON FIEi,D END. /V6 */372.A
@ 1 PROTRUDING (1") WIRE ON FIELD END.
1 5 BUTTONilEADS WITil GRINDING MARKS.
- .1ACK 9363 WAS USED FOR RETENSIONING TilESE TENDONS.
$$ PER SQ5.1 LIFT OFFS WERE TAKEN AGAIN FOR TilESE TENDONS AFTER ALL VERTICAL TENDONS WEltE ItETENSIONED.
31 Verification Approval Type of Verification Verifier Signature /Date Signature /Date
ENGINEERS Sarial i TECHNICAL WORK RECORD Engineer D.D.Krause i Date 10/5/95 ProjectTitle Predicted Force - Retensioned Vertical Tendons Page II of._
Cale: DC0 3 oro-oo 2. gey, o Page ~ / 9' of v t. 7 The stressing dates on the following table att from the Precision Surveillance Corp. Vertical Tendon Retensiomng Report Volume 2 of 3.
STRESSING SEQUENCES FOR RETENSIONED VERTICAL TENDONS AND ELASTIC S110RTENLNG LOSSES FOR INDIVIDUAL TENDONS SEQUENCE NO. STRESSING DATE TENDON I.D. Fw" Fw*
CALC. ROUNDOFF 1 2/1 2 4.58 5 2 2/2 5,63,83 4.24 5
, 3 2/5 90,94 4.15 4.5 4
4 2/6 51 3.93 4 5 2/8 32,36,40,44,101 3.71 4 6 2/9 93,97 3.49 3.5 l 7 2/12 20,24,28,77,81,85,89 3.27 3.5 8 2/13 12,16,57,61,65,69,73, 3.05 3.5 9 2/14 4,8,49,53,103,105, 2.84 3 107,109,111,115 i 10 2/15 6,10,14,18,22,26,45, 2.62 3 47,55,59,67,71,75,79, 113 11 2/20 87,91,95,99 2.4 2.5 12 2/21 1,3,7,30,34,38,42 2.18 2.5 13 2/23 100,102,104,106 1.96 2
- 14 2/26 80,82,92,96,98 1.75 2 15 2/27 76,78,84,86,88 1.53 2 4 16 2/28 25,29,57,70,72,74 1.31 1.5 17 3/1 62,64,66,68 1.09 1.5 18 3/2 60 0.87 1 19 3/5 48,50,52,54,56,58 0.65 1 20 3/6 31,33,35,37,39,41,43,46 0.44 0.5 21 3/7 108,110,112,114 0.22 0.5 22 3/8 15,9 0 0 4
Elastic shortening losses are rounded up to the nearest 0.5 kips.
Vi=W4r-7 Anoroval Tvos of Viin;T=::c-7 Verifier %nmenre / Date % nature / Date
ENGINEERS Serial TECHNICAL WORK RECORD Engineer D.D.Krause Date 10/5/95 l Project Title Predicted Force - Rotensioned Vettical Tendons Page 12.of_ i Calc: DCO 3ero- ao 2. Rev. O 1.4.2 ConcreteShrinkage Page /r at r/c 4
~
Ref.: Calc Book Z-4H,1:18.4 and Z-4K.1:18.5.
, 'Ihe concrete shrinkage losses determined previously in calculation 1:18.4 pages C32 through C34 and 1:18.5, page 79 are applicable. Shrinkage losses are relatively minor because most of the shrinkage has occurred in the period after concrete placement before the tendons are tensioned. Shrinkage losses are independent of force in the coociete, and therefore are independent of the restressing. 'Ite shrinkage loss for the restressed tendons is the increment that has occurred since the time of restressing.
4 t Shrinkage losses are based on total shrinkage strain of 100x10 in/m for the 40 year plant life as listed in the original prestress system purchase specification.
N = force loss in kips due to concrete shrinkage N = shrinkage strain x & x At = strain x 29x10' x 8.345 sq.in. (Ref.1:18.4,pp.C32 to C34 for shrinkage i strains) 4 Tne vertical tendons were retensioned at 9 years after the S1T. The strain from the curve on p.C34at 9 years is 91.9 x 10 Therefore, the strain diffenence. As. from prestress to 9 years after S1T is:
4 4 As = 91.9 x 10 - 79x 10' = 12.9x 10 in/tn N at 9 years = 12.9x 104 in/m x 29x!tf x 8.345 sq.in.= 3.12 kips N (Retensioned) = N(At period"x") - N at 9 years Example:
N at 15 yearii = 3.87 kips - 3.12 kips = 0.75 kips Varirw meian Annroval Tvoe of Verdie=han Verifier Rinn=h=e / Data Rinnahre / Date
\
l ENGINEERS Serial
' TECHNICAL WORK RECORD Engineer D.D.Krause Date 10/5/95 Project Title Predicted Force - Retensioned Vertical Tendons Page 13 of_
Cale: DC03 oso-me 2- Rev._ o-Page n.
ot </c Concrete Shrinkage Loss Suiveillance Period Years After SIT From Initial Stressing , From time of Restressing at 9 Years '
- Fa Fw.
- kips kips 9 3.12 j 10 3.27 0.15 15 3.87 0.75 20 4.24 1.12 25 4.60 1.48 30 4.84 1.72 35 5.08 1.% ,: .
4 n
40 5.32 2.20 1
! NOTES:
- 1. Fa from initial prestressing for periods 10 through 40 years am from calculation 1:18.4 page C32.
1 t
Varirwn' inn Annroval Tvos of VerWian Verifier Sianahre / Date Sianatire / Date 1
5
F ENGINEERS Serial ,
TECHNICAL WORK RECORD Engineer D.D.Krause ,
Date 10/5/95 ProjectTitle Predicted Force - Rotensioned Vertical Tendons Page 14-of_.
Cale: D00 3o c -
2 Rew' o =
Page-' i7 ot %
1.43 Concrete Creep 4 i
Reference:
Calc. Book Z-3D,1:183, p.181 and Book Z-4K,1:18.5, p. 78.
'Ibe doist creep stroh from the original tendon purchase specification used to deterndne the initial prestress levels are:
Vertical 210 x 104 in/in i
Hoop 390 x 104 in/in i Dome 330 x 10* in/in ;
The spec (se creep strak at the 40 year design life is defm' ed as: )
= Total creep strain + Initial average concrete stress, on ,
o, = 658 psi W.1 183, pp.183,185,159) i 1
'Iberefore, specFac creep sgrwh in the vertical direction at 40 years is -l l
4
= 210 x 104 in/in + 658 psi = 03191 x 10 -inlin / psi p i
It is noted that the above approach uses the initial concrete stress and does not take into consideration the clastic shortening losses which occur immediately upon stressing the tendons and prior to the oa:unence of creep. The following investigates the effect on creep of accounting for the elastic shortening losses. The 658 psi average initial concrete stress assumed is based on the average initial lockoff force of 1455 kips per sendon iref.1:183, p.159).
l j Average Fw = 39.81 kips + 2 = 19.9 kips / tendon (ref.1:18.4, p.C-6) i
- The concrete stress due to 19.9 kips per verucal tendon = 19,900 # + 2210 sq.in. = 9.0 psi Therefore, the concrete stress after elastic shortening loss is 658 psi - 9 psi = 647 psi 4
Specific creep corresponding to 647 psi = 210 x 10 in/in + 647 psi = 03245 x 104 in/in / psi The difference in the creep loss when the elastic shortemng is accounted for prior to calculating the creep loss is:
Act = (3245-3191) x 647 psi x (29 x 10 4) ( 8345 sq.in.) = 0.845 kips This difference of 0.845 kips total for creep loss at 40 years calculated using the initial concrete stress calculated before
. and after elastic shottening effects is negligible.
' Verhi*iari Anaroval Tvna of Var % Varifier Gm=h=a / Data c:innah=a / Data i
e - a w- , - -- - - - - - -----
ENGINEERS Serial r TECHNICAL WORK RECORD Engineer D.D.Krause Date 10/5/95 Project Title Predicted Force - Rotensioned Vertical Tendons Page 15 of_
Cale: DC0 3 No- eo2- Rev._ o Page /8 of v4 ,
Calculate tendon force loss due to creep for the retensioned vertical tendons:
He predicted creep loss for the remaining surveillances for the retensioned vertical tendons will be calculated by superimposing two components as follows:
F,i = creep loss that would have occurred had tendons not been retensioned.
F.2 = creep loss corresponding to the additionalincrement of compressive stress introduced by the retensioning startmg at the age of the concrete when the added prestress due to retensioning is introduced.
Calculate F,i, Calculate the creep at the time of retensioning. 9 years after the Str. Creep loss is occurring linearly versus the log of time for the time period of interest as shown on the creep curves that are based on test data ( ref.1:18.4. p. c 28).
Determine the ratio of specific creep between 9 years and 5 years using the curve for creep loss from 1:18.4 p. c-28 included as the next page of this calculation.
Ratio = 0.142 /0.125 = 1.136 ,
%erefore, since F,is assumed to be linearly proportional to specific creep: I F,,,,, = F .is, x 1.136 = 29.6 kips x 1.136 = 33.63 kips The Total Creep Losses from Initial Stressing listed on the table on the next page for the suneillance periods are calculated using a spreadsheet and the specific creep strains on page 78 of 1:18.5. Rese creep losses are the same for all of the vertical tendons and are shown on spreadsheets on pp.160 through 222 of 1:18.5. i 1
Calculate Foi for the remamme surveillances with respect to the creep loss for the 9th year after the 51T when the vertical tendons were retensioned.
l i
l l
i i
Verifica' inn Anoroval l Tvos of Verifirm' inn Verifier Sioriature / Date Rinnature / Date
ENGINEERS Serial TECHNICAL WORK RECORD Engineer D.D.Krause ,
Date 10/5/95 Project Title Predicted Force - Retensioned Vertical Tendons Page /4 of_
,Cale: DC0 3 oro-col Rev._ o Eage& i9 of_ yg l F.,i j
(Creep Loss that would have occurred assuming no retensioning)
Surveillance period Years after SIT TotalCreep Loss from Initial Creep Force Loss Starting From Stressing Inspection at 9 years Kips Kips 5 29.6 9 33.6 0 l
l 10 34.2 0.6 = (34.2 - 33.6) 15 39.0 5.4 = (39.0 - 33.6) 20 42.5 8.9 25 44.9 11.3 30 - 47.3 13.7 g w
35 49.2 15.6 fc 40 50.8 17.2 i
Verkmim Aruvoval Tvoa of Verifir drwi Verifier Sianature / Date Sianature / Date
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Cric: DC0 3 ofics oo 2. Rev: O "9 serial ENGINEERS TECHNICAL WORK RECORD Engineer D.D.Krause Date 10/5/95 , Project Title Predicted Force - Retensioned Vertical Tendons Page 16 of._ F-2 ( Concrete Creep Loss Due to the increment of Vertical Prestress Force Added At Retensioning ) Surveillance Age of Concrete (1) (2) (3) (4) (5) Period Years at the Specife Creep Specife Creep Specife Creep Effect. F ,s After SIT Surveillance Coefficient for Coefreient for Coefficient Creep (kips) Years Concrete at Age Concreteat Age Based on Coef. 4 4900 Days 1000 Days Specified Creep x 10 x 104inlin/ psi x 104in/in/ psi Loss in/in/ x 104 in/in/ psi psi 9 13.4 10 14.4 0.04 0.145 0.215 0.06 1.2 15 19.4 0.09 0.165 0.245 0.134 2.6 20 24.4 0.10 0.180 0.267 0.148 2.9 25 29.4 0.11 0.190 0.282 0.163 3.2 30 3424 0.12 0.200 0.297 0.178 3.4 35 39.4 0.13 0.208 0309 0.193 3.7 40 44.4 0.14 0.215 03191 0.208 4.0 Notes: s (1) Specific creep coefficients cormsponding to the age of the concrete (13.4 years or 4900 days) at the time.of vertical tendon retensioning taken from the creep curve included in this calc. on the previous page. ,, (2) Specific creep coefficients corresponding to the age of the concrete 1000 days at the time of the initial stressing of the vertical tendons taken from cales 1:18.4 pages C-21 to C-28 and 1:18.5 page 78. The coefficients are taken from curves based on projections of creep test data. (3) Specific creep coefficients based on the creep loss in the vertical direction specified for the original design of the initial tendon prestress level taken from calc 1:18.5 page 78. (4) The effective creep coefficient. (4), is the creep coefficient for the age of the concrete at restressing (1) multiplied by the ratio of (3) to (2) above. The calculation of F-2 si then consistent with the calculation of F,3 and is based on the creep loss specified in the original purchase specification for the tendons and does not include a tolerance. This is in compliance with R.G.135.1. Of the creep losses based on the creep test curves were used , a tolerance on the creep could have been applied when calculating the lower limit as defined in the R.G.135.1.) (5)F,2 = Specific Creep (4) x Es x Ao s x At Where Es = 29 x 10' ksifm/m Aoa = 79.7 psi At = 8345 sq. in. tendon cross section area Veir.ca;Gn Anoroval Tvoe of Verification Verifier Sionature / Date Sionature / Date
ENGINEERS Serial TECHNICAL WORK RECORD Engineer D.D.Krause Date 10/5/95 Project Title Predicted Force - Retensioned Vertical Tendons Page 19 of__ Calc: DC0 I occi- e a 2. Rev._ o Page 22 of 'N z. 4 Summary of the Predicted Creep Losses for the Retensioned Vertical Tendons Surveillance F ,i F ,2 Total F, = F,i + Fys Period Years kips kips kips after SIT 10 0.6 1.2 1.8 15 5.4 2.6 8.0 20 8.9 2.9 11.8 25 11.3 3.2 14.5 30 13.7 3.4 17.1 35 15.6 3.7 19.3 40 17.2 4.0 21.2 Investigate Interaction vs Noninteraction Approach for Calculating Creep for the Retensioned Vertical Tendons: Appendix A in R.G.1.35.1 defines fc as the average sustamed concrete stress. This definitim accounts for the interaction between creep loss and the stress in the concrete although the R.G. does not provide specific guidance for calculating fc. It i is recognized that the concrete stress does decrease somewhat over time as the force in the tendons decreases due to the , losses that are occurnng such as wire stress relaxation. From Cale Book Z-4J.1:18.7 page 11. the predicted tendon foire at 40 years after losses is 1280.7 kips per., tendon. Therefore. the concrete compressive stress in the vertical direction at 40 years due to this average force is 580 psi (1280.7 kips + 2210 sq.in.). 'Ibe initial average cmcrete compressive stress calculated previously is 658 psi. The average of 658 psi and 580 psi is 619 psi. The average compressive stress in the concrete just after retensioning without considering clastic shortening losses is 621 psi ( 1372 kips + 2210 sq.in.). Using direct proportioning. Fcr1 at 40 years calculated for the average concrete stress of 619 psiis 16.2 kips (17.2 kips x 619/658 = 16.2 kips). The difference in Fcl by the two methods is 17.2 kips minns 16.2 kips or 1 kip. For Fcr2. the average of the incremental stress placed in the concrete between the time of retensioning and 40 years is 79.7 psi divided by 2 or 39.6 psi. The creep force Fcr2 corresponding to 39.6 psi at 40 years is 2 kips. The difference in Fer2 between the two methods is therefor 2 kips (4 kips - 2 kips). The total difference for Fcr1 and Fcr2 is 3 kips. As a percent of the predicted force in the tendon at 40 yeas. 3 kips represents 0.23% of 1280.7 kips average predicted force. this diff.wace is not significant. As a percentage of the losses predicted at 40 years for the retensioned tendons (99.3 kips from calc 1:18.7 page 11) 3 kips represents 3.2% of the predicted losses. This percentage is also considered not significant because the acceptance criteria for measured liftoff force is in % of the force in the tendon , i.e. 95% Base Value, not in terms of percent of the losses. r Summanung, the non-interaction method is reasonable and appropriate for predicting the creep losses in the retensioned vertical tendons. Verifhtim Anoroval Tvos of Veiira::an Verifier Sionatire / Date Sionatire / Date
ENGINEERS Serial TECHNICAL WORK RECORD Engineer D.D.Krause Date 10/5/95 Project Title Predicted Force - Retensioned Vertical Tendons Page 28 of_ , Calc: DColoss.ee 2- ge,_ o
*@-- M 1.4.4 Wire Stress Relaxation OL Y&
}
Ref.: Calc. Book Z-4J.1:18.10. page 12. Book Z-3D.1:18.3 Book Z-4K.1:18.5 Wire stress relaxation testing discussed in the paper " Inservice Inspection Forces Measmed In Retensioned Tendons" by J.F.Fulton and C.A.Fctbes has shown that the relaxation of wise decreases for wire that has been retensioned. The magnitude of the decrease is proportional to the length of time that has elapsed from when the wire is initially stressed until it is restressed. The greater the span of time to restressing, the lower % of stress relaxation that will occur for the setensioned wire. This phenomenon occurs up to about retensioning 10.000 hrs. after original stressing when the percent relaxation remains relatively constant. The retensioning ratios determined by testing in the referenced paper are assumed to apply to the V.C. Summer wire. ' Ibis is a reasonable assumption that does not reqmre further confirmation since the wire for both plants was 0.25" diameter A421 Type BA wire supplied by ARMCO. Determine time spans necessary to calculate the retensioning ratios: (1) (2) (3) = (2) - (1) (4) (5)= (3) - (4) Retensioning Surveillance Concrete Concrete Initial Initial Retensioning to Ratio at Years After Placement to Placement to Prestress to Prestress to Surveillance 90 degrees F. SIT Initial Surveillance Surveillance Retensioning Hrs
~
Prestress Hrs '.- Hrs Hrs Iirs . 148,980 94,944 54,036 ' O.48 15 23,364 172,344
" 214,032 190,668 " 95,724 0.55 20
" 257,856 234,492, " 139,548 0.58 25
" 301,680 278,316 " 183,372 0.61 30
" 345,504 322,140 " 227,1 % 0.63 35
" 389,352 365,988 " 271,044 0.65 40 Notes:
- 1. Refer to cale.1:18.3 page 156 for (1) and (2).
- 2. Average date of initial stressing of the vertical tendons is April 2.1979.The time from concrete placement to prestress is calculated as (23.040 + 23.688) + 2 = 23.364 hours.
Verifemtian Armroval Tvos of Verifemtion Verifier Sianature / Date Sionature / Date
b t lJ ' 1.2 8. a i: l c' : 1.0 7 l 90.8 - g7 gT 100 H / ; g
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I l i ENGINEERS Serial TECHNICAL WORK RECORD Engineer D.D.Krause Date 10/5/95 ' Page ProjectTitle Predicted Force - Retensioned Vertical Tendons 22_ of_ b Cale: DC0 3o co-St - Rev. o ~ Notes (cont) Page 2 5- of V4;
- 3. Average date of restressing vertical tendons is libruary 1,1990.
I
- 4. Surveillance at 15 years is planned for April 1.1996.
Calculation of (4) in table on previous page: l 1979 = 9 months from April I to end of year = (365 days 31 - 28)24 = 6600 hours i i 1980 through 1989 = 10 years x 365 days / year x 24 hours / day = 87,600 hours (This is sufficiently accurate without considering the extra day in leap years which could add another % hours). l 1990 = 31 days x 24 hours / day = 744 hours Total = 6600 + 87,600 + 744 = 94.944 hours
- % Wire Relaxation Loss for Retensioned Vertical Tendons Surveillance Period Years (1) (2) (3) = (1) x (2) after SIT Retensioning Ratio Unretensioned Wire Retensioned Wire Relaxation Relaxation
~
t J 15 0.48 11 5.28 1
- 20 0.55 11.5 6.33 25 0.58 11.9 6.90 30 0.61 12.1 7.38 35 0.63 12.4 7.81 40 0.65 12.8 8.32
] Notes:
- 1. Wire relaxation % loss (2) is from calc 1:18.5, page 9.
2 'Ibe retensioned wire stress relaxation loss in kips is equal to the individual tendon lockoff force in kips at retensioning times (3) in the table above. the retensioned wire percent relaxation. Vefdir atiem Annroval Tvne of Varifir =* inn Verifier Emmhre / Date hambre / Date a
Cric: DC03oco -oo 2, Reve o ENGINEERS 9' be:Of N TECHNICAL WORK RECORD Engineer D.D.Krause Date 10/5/95 Project Title Predicted Force - Retensioned Vertical Tendons Page 23 of_ VERTICAL TENDON PREDICTED WIRE RELAXATION FORCE LOSSES STII SURVEILLANCE PERIOD VERTICAL TENDON (1) (2) (3) NO. RETENSIONED PREDICTED WIRE PREDICTED WIRE VERTICAL TENDON STRESS RELAX. AT STRESS RELAXATION LOCKOFF FORCE STH SURVEILLANCE FORCE LOSS KIPS % K.IPS V7 1352 5.28 71.4 l V8 1390
" 33 0 4- 7 3. Y p
" 73.0 V9 1383
" 72.5 V39 1374
" 71.7 V40 1358
" 72.8 V41 1379
" 73.0
. V89 1383
" 72.0 V90 1363
^
" 72.1 V91 1366 NOTES:
- 1. The retensioned vertical tendon lockoff forces are from PSC Corp. Vertical Tendon Retensioning Report Volume 1 Section 2. Table V.
i l l Determine Feasibility of Using One Set of Losses Applicable to all Retensioned Vertical Tendons: I The following study is performed to determine the feasibility of establishing a single loss for predicted force versus time applicable to all of the vertical tendons. In this case all of the vertical tendons is considered as one subgroup. To determine the feasibility, the two causes cf losses that depend on variables which change from tendon to tendoa will be reviewed, i.e. . the wire miaxation loss which depends on the lockoff force at retensioning and the elastic shortening which depends on l the sequence of stressing. l VeM M a Anoroval Tvos of Verifbation Verifier Sianature / Date Sianature / Date
ENGINEERS Serial ; l TECHNICALWORK RECORD Engineer D.D.Krause ; i ' DWe 10/5/95 i, ProjectTitle Predicted Force - Rotensioned Vertical Tendons Page 2+of_
,Cale: DC0 lo co- e>o 2 Rew_ o
- Page N i of t's R '
' Wire Stress Relaxation Eff'ect:
4 'Ibe range of lockoff forces for the retensioned vertical tendons (from the reference in Note 1 above) is 1351 kips for V69 at the low end and 1390 kips for V8 at the high end. l i 4
'Ihe maximum wire relaxation losses at 40 years correspondmg to this range of lockoff forces are:
i Tendon V69: Wire Relax. Loss = 0.0832(relax.@ 40 yrs) x 1351 kips = 112.4 kips Tendon V8 : Wire Relax. Loss = 0.0832 x 1390 kips = 115.6 kips ; - r Difference between high and low = 115.6 kips - 112.4 kips = 3.2 kips , i l Assuming in the best case an accuracy in the liftoff force measurement of 1%, the actual force in the tendon could vary by
- 13.9 kips at the high end and 13.5 kips at the low end. For an accuracy of 2% m the liftoff force measurement (which is l permitted by the specification), the actual tendon force could vary by double the above forces or. 27.8 kips to 27 kips per i
tendm. Since the potential variation in tendon force due to wire relaxation for the highest restressed tendon at 1390 kips " and the lowest restressed tendon at 1351 kips of 3.2 kips at 40 years is much less that the accuracy of the force j measurements and represents less than 0.5% of the aandan force. it is reasonable to use the higher predeted wire stress : , relaxation loss correspondmg to the highest stressed rendan at 1390 kips for predicting the losses for all the restressed vertical tendons. 1 - 4 I e i In addition to the foregoingjustificatim, R.G.1.35.1 permits a variation of115 % on the predicted wire stress relaxation ! loss when calculating the lower limit. The following calculation applies the il5 % variation to the high and low Irrkafr force tendons for the case of the maximum predeted wire relaxation loss of 832% at 40 years. { ! V69: 0.0832 x 1351 kips = 112.4 kips V69 Lower Bound Loss = (1+ 0.15) x 112.4 = 129.3 kips ; l i
< V69 Upper Dound Loss = (1- 0.15) x 112.4 = 95.54 kips ,
V8: 0.0832 x 1390 kips = 115.6 kips V8 Lower Bound Loss = (1+ 0.15) x 115.4 = 132.9 kips i V8 Upper Bound Loss = (1 - 0.15) x 115.4 = 98.1 kips
'Ibe difference between the predeted range of 112.4 kips to 115.6 kips wire relaxation loss and the lower bound loss range of 129.3 kips to 132.9 kips is 16.9 kips to 17.3 kips. ' Ibis range of force loss (16.9 kips to 17.3 kips) due to the R.G. {
J Var ** Annroval . Tvna of Verdia-san Verifier h=h=a / Data h=hre / Data 4
ENGINEERS Serial TECHNICALWORK RECORD Engineer D.D.Krause Date 10/5/95 Project Title Predicted Force - Rotensioned Vertical Tendons Page 16of_. 1 lCa6DC01oC=- oo 3 gey,> e
~
Page 2e Wire Relaxation Eff'ect (cont) --N W _ I permitted tolerance on wire relaxation is significantly greater than the maxunum predicted difference of 3.2 kips between tendons V8 and V69. Although the calculation of the lower bound losses approach in accordance with R.G.1.35.1 is not being used to develop the predicted force vs time curve for the retensioned vertical tendons, it is clear that using the wire relaxatim loss for the highest restressed tendon, V8, as applicable to all the restressed vertical tendons for the purpose of predicting force loss in the tendons is reasmable. Elastic Shortening Effect: From cale page 2 the maximum elastic shortening loss for an individual retensioned tendon is 5 kips. The calculation table on page 3 indicates the elastic shortening losses to the nearest 0.5 kips for each vertical tendon depending on the shessing sequence 'Ibe average lockoff force for the retensioned tendons is 1372 kips. The 5 kips maximum elastic shortening loss of 5 kips is 0.36% of the lockoff force.The permitted measurement accuracy of the force in the tendons is . 2% (27.4 kips). Therefore, for the purpose of grouping the tendons into subgroups for cWW3 individualtendons.allof the vertical tendons can be placed in one subgroup based a cmsideration of the elastic shortemng losses because the elastic shortening losses are much lower than the liftoff measurement accuracy. Use 5 kips as the predicted elastic l shortening loss for all of the vertical tendons. 1 Predicted Force Loss Due to Wire Stress Relaxation Surveillance Namher (1) (2) (3) = (1) x (2) Years after SIT Wire Stress Relaxation Maximum Lockoff Force Predicted Wire Stress
% Retensioned Vertical Relaxation loss Tendons Kips Kips 15 5.28 1390 73.4
" 88.0 20 6.33
" 95.9 25 6.90
" 102.6 30 7.38
" 108.6 35 7.81 40 8.32 115.6 l
Verdh stian Arrwoval l Tvos of Verifh dian Verifier Rian=hre / Date Rinna+ ire / Date
ENGINEERS Serial TECHNICAL WORK RECORD Engineer D.D.Krause Date 10/5/95 Project Title Predicted Force - Retensioned Vertical Tendons Page 26 of _ Cale: DCO R<b-el nev. o s .. Page ^ 2 9 of V4 a
~
1.4.5 Normalization Factor Ref.: Calc Book Z-4K 1:18.5 page 98. A normalization factor is added algebraically to the measured liftoff force to adjust the particular tendon liftoff fome to an average tendon by accounting for the difference in clastic shortening and wire stress relaxation losses between individual tendons due to the position in the overall stmssing sequence for the particular tendon. As one of the required surveillance activities, the average of the normalized individual tendon forces for each group of tendons is compared with the rnmimum required average prestress for that group of tendons to assure the design conditions for the containment are accounted for in the period up to the next scheduled surveillance. The normalization factors for the vertical tendons included in the 5th period tendon surveillance are calculated and shown on the table on the next page. The same methodology can be used for the vertical tendons for the remaining surveillances. Verifkaren Anoroval Tvne of Verification Verifier %natinre / Date Sianattire / Date I
ENGINEERS Serial , Engineer A N u TECHNICAL WORK RECORD Date Project Title Tab Page 27 of Cale: DC0Mo co- co2. ny o Page 3 0 of yt ; t
- = = == m NORhl AlJZATION FACTOR (4) (5) (6) (7)
(1) (2) (3) (8) + (7) NF (4) X AFim N e AFhe n VERTICAL Feve. PL SR(s) Fever fL KIPS KIPS 9b K3PS !!* eR(tyleel KIPS [(N.hl)fM) TENisON MO. 8 22 13 4 114 18J2 18 1372 1382 BJ2 30 18.34 7 8 22 9 SJ7 alLII *l7 8 1372 1390 B.33 +l8 +17.e8 23 .&4 1148 *13 SJ2 38 14.88 8 22 9 1373 1383 l.88 5 22 38 1.93 3Al 3 39 1372 1374 8.32 3 5 1.48 1431 14 8J3 14 12.83 8 22 de 1373 8388 22 30 *1.93 4 04 -6 3373 1379 SJ2 3 -488 8 43 23 7 1.02 9.e6 -9 SJ3 .it 14.e8 8 89 1373 1383 8.25 8 22 3 8.93 56.18 le to 1373 1343 SJ2 9 22 e.184 S.61' 6 93 1373 1366 SJ3 6 , SJ 8 Il s e NOTE 8s
- 8. Pourmalueen faaer(Nil e-( Fave. Fl.)iI - Sativ100] + AFlas l(N-2a+1)/ 2N)
- 2. Feve. e overnas ptew essenseensd kickalf kwce fa as vertsal andans e 3372 kape Fl. a hdolf fee is irukvidual reisesansd vemcelisnden
' venmalisndans ime the estanauen at 40 years he all surveillance isndans e 8324 SR(1) e % wire suem salazauen a tirns k I-w the .
Afhs e snaasnwn tasal elams shananin8 auss surthe Arm wenical tendan seisnnenned 5 kips N = insat surnher etsumment asquences e 22
. . ~B n., f. a,e avu and FtLE. t o i Ai\ Texec u a.noe.
Verification Approval Type of VerTfication Verifier Signature /Date Signature /Date
i-+ A s.A sa s. _ _ . ENGINEERS Serial TECHNICAL WORK RECORD Engineer D.D.Krause Date 10/5/95 Project Title Predicted Force - Retensioned Vertical Tendons Page W of_ Cale: DC02 oro -w 7 Rav, o
~ ~
lPage11 of Vc a= : __ q 1.5 RESULTS The following Table lists the total predicted loss Fi i. applicable to all of the individual retensioned vertical tendons for the remaining surveillances.
SUMMARY
OF PREDICTED LOSSES FOR RETENSIONED VERTICAL TENDONS Surveillance Fi., Fu Fw Fw Fi Period Years Elastic Concrete Concrete Wire Stress Total Losses after SIT Shortening Shrinkage Creep Relaxation Kips Kips Kips Kips Kips 15 5 0.75 8.0 73.4 88 20 5 1.12 11.8 88.0 106 25 5 1.48 14.5 95.9 117 30 5 , 1.72 17.1 102.6 127 35 5 1.% 19.3 108.6 135 40 5 2.20 21.2 115.6 144 Notes: 1.The sum of the individual losses Foi is rounded upward to the next higher kip. Veiifrur- 6 Anoroval Tvos of Veiif uGoii Verifier Sionature / Date Sionature / Date
ENGINEERS Serial TECHNICAL WORK RECORD Engineer D.D.Krause Date 10/5/95 Project Title Predicted Force - Rotensioned Vertical Tendons Page PLof_ Cale: D00 3&o-ce.2 Rey, o l
.Page- 32 of 1.5 RESULTS (CONTINUED)
The following Table lists the Base Value,0.95 Base Value, and 0.90 Base Value for the tendons in the 5th surveillance. The Base Values for tendons for the other remaining surveillances are calculated in the same manner, ' I.e. Fw for the particular surveillance is subtracted from the retensioned tendon lockoff forte to obtain the Base j Value. PREDICTED LIFTOFF FORCES FOR RETENSIONED VERTICAL TENDONS SURVEIL. VERTICAL (1) (2) (1) - (2) 6.95 X 0.90 X PERIOD TENDON RETENSION TOTAL PREDICTED BASE BASE YEARS NUMBER LOCKOFF LOSSES BASE VALUE VALUE AFTER SIT FORCE KIPS VALUE KIPS K1PS - KIPS KIPS 15 7 1352 88 1264 1200 1137 i i 15 8 1390 88 1302 1236 1171 ! 15 9 1383- 88 1295 1230 1165 15 39 1374 88 1286 1221 1157 15 40 1358 88 1270 1206 1143 15 41 1379 88 1291 1226 1161 i 15 89 1383 88 1295 1230 1165 15 90 1363 88 1275 1211 1147 j 15 91 1366 88 1278 1214 1150 i l NOTES:
- 1. When calculating 0.95 Base Value and 0.90 Base Value, decimal fractions are rounded downward to the nearest kip.
Ve&mtian Arwoval
; Tyne of Verifir'=tian Verifier % nature / Date % nature / Date i
2ll$l$ gc,a.br"*VA Gilbert / Commonwealth engines ano consunants 9gW
,\,u GILBERT / COMMONWEALTH. INC., P.O. Box 1496. Reading. PA 19603/Tel. 215 TIS-2600/Caele Gilasoc/ Telex 836431 February 7, 1985 Calc: DC0
.Page__ 33 8
Commission of the European Communities DG XIII - A Groupe de Liaison (Aten: Mme J. Stalpaert). ~ MDB 4/28 200, rue de La Loi B-1049. Brussels, Belgium
Dear M ,
rs. Stalpaert:
.)
Pleass' find the enclosed manuscript " INSERVICE INSPECTION OF RETENf10NED TENDONS." Paper D8/5 for the 8th SMiRT Conference. I believe that the requirement of a 6 p&ge limit has been met. The text is 4 pages; and the 2 tables, when reduced, will comprise another page. The 6 figures will stand reduction fo 1/4 scale, thus allowing all figures to be set on one page. Thank you. . Very truly yours, h.b.h~ J. F. Fulton JFF:flg Enclosure cc: C. A. Forbes (RG&E) J. C. Herr D. R. Campbell 525 Lancaster Avenua Reading. PAiMorgantown Rosa. Green Mi Is. Reaoing. PA 215 775 2600 emogamfG M .____ _ ____ _._ ____ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
i:
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I INSERVICE INSPECTION FORCES MEASURED IN RETENSIONED TENDONS by J. F. Fulton - Gilbert /Comonwealth, Inc. P.O. Box 1498 Reading, PA 19603, U.S.A. C. A. Forbes , Rochester Gas and Electric Corporation
< 89 East Avenue Rochester, New York 14649, U.S.A. :
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-.____._____.____._.______.._______E____1_______._ __ _ _ _ _ _ _ _ _ _ _ _ _
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Predicted tendon forces are compared with those measured at lift-off for a group of sample tendons in the R. E. Ginna containment structure. Most of the tendons in the containment had been retensioned approximately 11 years after their original stressing, and the sample tendon forces were measured approximately three (3) years after the retensioning. In calculating the losses to arrive at the predicted forces, it was necessary to account for the effect of retensioning on the stress relaxation property of the tendon wires. A prediction technique was developed using relaxation test data from wire samples that were retensioned after they had relaxed for specified time periods. The agreement between measured and predicted tendon forces was good.
1.0 INTRODUCTION
The R. E. Ginna containment structure is post tensioned by 160 vertical tendons. The tendons were originally stressed 'in March and April 1969, and lift-off tests were performed on six occasions subsequent to this date over a period of 11 years. From these tests, it was found that the measure tendon lift-off forces were generally lower than the predicted values. Also, the average force of the tendons was marginally above the design requirement of 636 kips. As a result, Gilbert / Commonwealth, Inc. was requested to investigate the possible causes for the lower-than-predicted tendon forces. Reference 1 lsummarizesthisinvestigation,fromwhichitwasconcludedthatalarger-than-expected stress relaxation of the tendon wires was the cause of the lower-than-predicted tendon i forces. In June 1980, nominally 100,000 hrs. after the original stressing in 1969, the force in 137 of the 160 tendons was restored to 70% of the Ultimate Tensile Strength (UTS) by 1 installing additional shims beneath the anchorhead. The remaining 23 tendons had been I retensioned in May 1969, approximately 1,000 hrs after their original stressing. As a result of the retensioning at 1,000 hrs., the stress relaxation of the 23 tendons was lowered, and the forces in the tendons were found to be acceptable. Therefore, another I retensioning was not needed for these 23 tendons. For future tendon force loss calculations, it was necessary to account for the effect of retensioning on the stress relaxation property of the tendon wires. Using the virgin I l
N3 iBase) stress reiexation procerty of a tendon wire to predict stress relaxation loss leads; to an over-estimation of ths stresslossfortendonsthgha been retensioned. As a result, the force predicted for the tendon based on th)$ 1kil be artifically low, which is unconservative for purposes of comparison with r on s measured at future scheduled inspections, c - In an effort to obtain the retensioned stress relaxation propert ,0/ met f e o applying superposition principles to the Base stress relaxation property cur Str 5eiaxationversusTime)wasdevelopedinReference1. However, this approach underestimated the amount of. stress relaxation that the retensioned wires experienced. Therefore, the need for a more accurate representation of the retensioned stress relaxation property prompted a direct use of long-term retensioned wire test data, which is described below. 2.0 STRESS RELAXATION PROPERTIES OF RETENSIONED WIRES 2.1 Test Conditions Each tendon has 90,1/4 inch diameter wires, plus an extra wire,115 ft. long, which was originally left unstressed. Three of these extra wires were pulled from tendons-and shipped to the Fritz Engineering Laboratory at Lehigh University. These wires were cut into 16 ft. and 21,ft. lengths for the stress relaxation tests. The wires were tested in environmental chambers at 68o F and 104o F and maintained at constant strain over a 10 ft. gage length. The force in each wire was measured at specified time intervals using a 20 kip BLA load cell. Seven retensioned wire specimens were tested. Each specimen was initially stressed to 0.70 UTS and allowed to relax for a specified duration. During this time, forces were measured periodically'. Then the force in the wire was increased back to i 0.70 UTS (retensioned) and force measurements were continued. Table I indicates the test condition for each specimen, including the duration of the initial relaxation (Time at Retensioning) and the duration that the wire specimen was allowed to relax after it was retensioned (Retensioned Duration). As seen from the table, retensioning times covering three decades (100 hrs,1,000 hrs, and 10,000 hrs) were achieved. 2.2 Test Results An example of the basic test results is shown in Figure 1 for wire specimen #3. The " Base" curve represents the stress relaxation of the specimen prior to its retensioning at 6,000 hrs. The stress relaxation occuring subsequent to retensioning is the "Retensioned" curve. The horizontal time scale refers to either the time after initial stressing (Base curve) or the time after retensioning (Retensioned curve). From the figure, the stress relaxation of a retensioned wire would appear to eventually equal that of an unretensioned wire. However, the. time at which this occurs is probably beyond any practical time of interest, considering that at 40 years (350,000 hrs.) there is still a significant difference in relaxation (17% vs. 12i). Using the results in Figure 1 and similar curves from the other six specimens, Retensioned-to-Base stress relaxation ratios were obtained at various " times after retensioning", which ranged from 10 hrs. to 350,000 hrs. At each such time after retensioning,, curves similar to those in figure 2 were constructed. This figure
tcpresents the stress reser~.:en :n a tire (expressed as a fraction of its Base value) 1,300 hrs, after retensioni ,, having retensioned the wire f a 100 hrs. to 350,000 hrs. ' after its original stressing. In the figure, the 900 F curve is a linear interpolation of i the 680 F and 1040 F data curves. The900Fconditionisconsideredtobemoreapplicablel to the actual tendons, i The results in Figure 2 in conjunction with other similar figures (each for a specific time after.retensioning) were used to construct a series of curves similar to Figure 3, which is for the 900 F condition. These results indicate that the stress relaxation a wire experiences subsequent to its retensioning (as percent of its Base value) decreases as the time of retensioning after initial stressing increases - up to a point. If the wire is retensioned at least 10,000 hrs. after initial stressing, there is i no significant difference in retensioned stress relaxation.- ' ' The values of retensioning ratio provided by the two curves in Figure 3 for times-of-retensioning of 1,000 hrs. and 100,000 hrs, were applied to a general Base stress relaxation curve established for all the tendons. This, therefore, established stress relaxation property data to be used for future force predictions of the tendons retensioned in May 1969 (RT = 1,000 hrs.) and in June 1980 (RT = 100,000 hrs.). Figure 4 contains these curves along with the Base stress relaxation property curve used. The inservice inspection in July 1983 provided the first opportunity to apply these results. Calc: DC0 a cca-co z o ! 3.0 JULY 1983 TENDON LIFT-0FF FORCES ~ ~ ~o[ Page yc 9,,, 17 l 3.1 Procedure - 1 Tendon lift-off forces where obtained from two calibrated measurement systems attached to the hydraulic stressing unit. The first system utilized the pressure gauge of stressing ram. Gauge pressures were input into the calibration equation: , Force (Kips) = 0.896 + 0.1274 x Gauge Pressure (PSIG) (1) This equation is derived from a linear regression fit of the force-gauge pressure data obtained during calibration of the pressure gauge and stressing ram as one unit.
. The second measurement system involved a strain gage instrumented stressing rod which measured the tendon force directly. The calibration equation for this system is:
Force (Kips) = 0.2004 x Strain (micro-inches / inch.) (2) Tendon forces where measured at their respective lift-off points, which were determined when the tendon anchorhead lifted off the shim stack just enough to allow two pre-inserted feeler gages (1/32 inches thick) on opposite sides to be withdrawn. , The inspection involved the testing of 18 tendons. This included 4 tendons ) previously retensioned in May of 1969 and 14 tendons retensioned in June 1980. i 3.2 Results I The results of the lift-off forces for all 18 sample tendons are shown in column l (3) of Table II with an average tendon force of 709 kips. As expected, the four tendons l
+etensioned in May 1969 exh101ted lower lift-off forces than the remaining sample tendons:
rt. tensioned in June 1980. CaTdDC0 3 erb-=2 Rev.4 TM l To correlate the 18 sample tendons tqg 160 tendons,,lg thegontainment, a ' weighted average was obtained by factoring in the group averages of those tendons
, retensioned in June 1980 and May 1969. This resulted in an average tendon force of
' 713 kips, which represents the expected average tendon force in the containment. It
!exceedsby12.1%theminimumrequiredvalueof636kipsappearingintheGinnaTechnical'
, Specifications.
! Prior to the start of the inspection, predicted tendon forces were obtained for:
' each sample tendon based on the retensioned stress relaxation curves (RT) in Figure 4.
Force-versus-time history curves were constructed. Examples of two of these curves are
' illustrated in Figures 5 and 6 for tendon nos. 18 and 120. For tendon no. 18, the
' July 1983 lift-off force was 727 kips, which is only 0.8% above the predicted value of 721 kips. The lift-off force for tendon no. 120 of 680 kips is within 2.9% of its 661 ki predicted value. The predicted forces for all 18 sample tendons afe indicated in column 4 (1) of Table II. The percent difference between measured and predicted force appears in .
' column (4). The forces for 13 of the 18 tendons exceed the predicted values, and all of ,
the forces measured in the remaining 5 tendons were well above 95% of their predicted values, which is generally acceptable. For comparison, column (2) of Table II includes the predicted tendon forces obtained using the Base stress relaxation property curve in Figure 4. TheBasecurvewasl applied as if the tendons were tensioned for the first time in May 1969 and June 1980. Thus, the effect on the stress relaxation property due to retensioning is ignored. Comparing column (5) with column (4) in Table II, it is evident that not accounting for the effect of retensioning results in a significantly greater percent difference between measured and predicted forces.
4.0 CONCLUSION
S The results from the July 1983 inservice inspection indicate that the forces in the retensioned tendons are remaining at or above the expected (predicted) levels and no abnormal force losses have occurred. A prediction technique developed for this application proved successful in determining future forces for retensioned tendons. The predicted tendon forces were obtained using stress relaxation property curves developed from retensioned wire tests, and the agreement with the measured tendon forces was as goci or better than that generally experienced on containments that have not undergone retensioning. ACKNOWLEDGEMENTS Appreciation is expressed to Rochester Gas and Electric Corporation for permission to publish this paper. The stress relaxation tests at Lehigh University were conducted by Professor R. G. Slutter, and his cooperation is also appreciated. l
. REFERENCES (1) FULTON, J. F. and MURRAY, K. H., " Containment Structure Tendon Investigation" Transactions of the 7th International Conference on Structural Mechanics in Reactor 0 $
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TABEL I. STRESS RELAXATION TEST CONDITIONS OF RETENSIONED WIRES Time at Retensioned Tendon Specimen Heat Stress Temperature Retensioning Duration I.0. No. No. (% UTS) (OF) (Hours) (Hours)
'51-B 3 19477 70 104 6000 18214 51-C 4 19477 70 68 1000 11137 76-C 8 30091 70 104 10190 14229 76-B1 9 30091 70 104 100 8635 76-82 10 30091 70 104 1000 19229 76-B 7 30091 70 68 11600 3575 150-C2 12 10355 70 68 5500 9720 e
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~Page Vo of V4 l TABLE.II. 1983 SAMPLE TENDON FORCES - MEASURED VERSUS PREDICTED LIFT OFF FORCES (KIPS) MEAS.-PRED.(g)
TENDON PREDICTED PREDICTED NO. WITH RT BASE MEASURED WITH RT BASE (1) (2) (3) (4) (5) 13 711 653 730 2.7 11.8 18 721 662 727 0.8 9.8 40 711 652 731 2.8 12.1 51 712 653 709' -0.4 8.6 53 711 653 731 2.8 11.9 60 707 649 711 0.6 9.6 62 720 661 715 -0.7 8.2 75 709 651 723 Ave. 2.0 11.1 76 704 646 700 719 -0.6 8.4 93 711 653 706 -0.7 8.1 125 716 657 702 -2.0 6.8 128 703
. 646 709 0.9 9.8 155 703 645 745 6.0 15.5 160 709 651 721 1.7 10.8 35(1) 650 620 662 1.8 6.8 36(1) 661 630 664 Ave. 0.5 5.4 116(1) 656 626 693 675 5.6 10.7 120(1) 661 630 680 2.9 7.9 AVERAGE 699 647 709 2.0 9.6 WT. AVE.(2) 713 (1) Retensioned in May 1969 (2) Weighted Average considering 23 tendons retensioned in May 1969
100
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- 1.0 10 100 1000 10,000 100,000 350,000g h j N TIME (HOURS) o 28 FIGURE 1 l
l BASE AND RETENSIONED STRESS i RELAXATION FOR WIRE NO. 3 ~ k;
l i 1.2 1.0 9 0.8 \ t k e , 4R 68 F l z l E 0.6 N 90 F ' 9 s
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104 F a 0.24 P W 3Re 8R 0.2 D a 8 e o m 10 100 1000 10,000 100,000 350,000 4 ,8 o TIME OF RETENSIONING (HOURS) 0 FIGURE 2 RETENSIONING RATIO - ] __ _ _ _ _ - - - _ - -_r 1000 HRS. AFTER RETENSIONING
E. 4 m., <_c __ m A b h has..a m 4.rsu & A .4 - - 444 R a 4 m. -mu L4 :La-6-++ee.* 4Em s.a. Eawaasm as-e+=.=4s ha -s.ms + s aw a e .m . w.x,-..a me_a e, ._u_aa.am.5 4 ...2.._. 5;, u. w . _ . ..,a 4a - _.-_-___---y , e 1.2 1.0 O RT gT 100 H # p 0.8
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9 E 00e O j" g 0.4 @ Y so.0000 , S E-T'h h s t : 0.2 p 8 R. Y 0 m 10 100 1000 10,000 100,000 350,000 h D TIME AFTER RETENSIONING(HOURS) ' ' FIGURE 3 l RETENSIONING RATIO -90 F l
FIGURE 4
'8 l STRESS RELAXATION -
l RETENSIONED TENDONS 16 15.9 l ! 14 / 12.7 12 op 10 + a
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s 0 1.0 10 100 1000 10,000 100,000 350,000 0 TIME (HOURS) k-
FIGURE 5
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COMPARISON OF PREDICTED AND MEASURED FORCES FOR TENDON NO.18 800 RETENSIONING ORIGINAL STRESSING JUNE 1980 750 APRIL 1969 }l\ I l LIFT OFF k o JULY 1983 i E 700 1 I I '
\ y PREDICTED N WITH RT(1).
' so l i lNN l x
$ I l l
O 650 l ! l j %- z l I l 6 Y l l 8 ' I i , $ 7 600 l I I l BEFORE f O I , RETENSIONING S. o l l lP l I l l <@ 550 I i i o .< 1 1.4 2 3 4 5 6 7 8910 12.6 15.6 20 30 42.( 0
. j ?
TIME AFTER CONTAINMENT WALL CONSTRUCTION (YEARS) N
i ' FIGURE 6 . COMPARISON OF PREDICTED AND l MEASURED FORCES FOR l ' TENDON NO.120 800 RETENSIONING 750 iN . ORIGfNAL \ S 700 5TRESSING \ ^ LIFT OFF g APRIL,1969 N g l \ ' N % JULY 1983 , I/ PREDICTED WITH y o m o
- u. ; RT (1) z y,BEFORE g ' !
%F C7 650 RE, TENSIONING ~'
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. - _ - ~ . -- . -
ES-412, Attach.1, Rev.1 SUBACT CODE SOUTH CAROLINA ELECTRIC AND GAS COMPANY PAGE 305 CALCULATION RECORD 1 oc7 CALC TITLE CALC NO. REV STAT CORRECTED FORCE PREDICTION FOR V40 DC03060 002 1 [ 54d ifl1N6 PARENT DOCUMENT SYSTEM SAFETY CLASS ST!'fM80,001 BS NN QR SR ORIGINATOR DISC ORGANIZATION DATE XREF NO. PARSONS,G.P. CS SCE&G DE 1/16/96 DC03060402 A. CALCULATIONINFORMATION CONTENT DESCRIPTION. THIS CALCULATION REVISicN CORRECTS THE PREDICTED TENDON FORCE FOR TENDON V40 FOR THE FIFTH PERIOD TENDON SURVEILLANCE. AFFECTED COMPONENTS / ANALYSIS: , VERTICAL TENDON V40 ,FORINFORMATION ONLY CONTAINS PRELIMINARY DATA / ASSUMPTIONS: i
@ NO O YES, PAGES l COMPUTER PROGRAM' USED: S NO 4 0 YES, VALIDATION NOT REQ'D. [REF. 3.5) O YES, VALIDATED [OTHERS]
O YES, VALIDATED [ES412) O PROGRf.M VALIDATION CALCULATION B. VERIFICATION VERIFICATION SCOPE l
.VERIELCOBBECIED "AS LEFT" VALUEIROM PAGE10EBEVISION USESED_AND_THAT THE COBRECLVALUE.1&_CABBIED THRQUGli_ l .IHECALCULAIN ONL Y JLSPOT CHECK OF_THE_MATHJSJtEDUIRER i i
VERIFIER: WHORTON, R. B. . ASSIGN BY: WHORTON, R. B. Ce e n-3 ///7 74 4.EAD ENGINEER (DESIGNIE)lDATE . VERIFIERI DATE APPROVAL /DATE (Loch M i /17 l% (LBLhd il l' I H. C. REC M REEL NUMBER: FRAME NUMBER: TO PRS: INITIDATE ORIGINAL MAINTAINED BY: DISTRIBUTION CALC FILE [ ORIGINAL) PDE / SYSTEM ENG /DE FILE 20.8602 [ ATTACH.1 ONLY, COPY)
ES-412 ATTACHMENT I REVISION 1 PAGE 2 OF 2 ~ SOUTH CAROLINA ELECTRIC & GAS COMPANY PAGE REVISION
SUMMARY
2 OF 7 CALCULATION NO. DC03050-002 REV NO.
SUMMARY
DESCRIPTION 1 The purpose of revision 1 of this calculation is to correct an error in revision 0 of this calculation. The error in the original calculation is contained on pages 23,27and 32 of 46. The corrected pages follow this page. , After all of the vertical tendons were retensioned, a second reading was obtained for the first four tendons to be restressed. Tendon V 40 was the only one of the four to increase in value. Revision 0 of this calculation used the first value. However, upon further review, it was deterrnined that the second "as left" value is the correct value. Therefore, this calculation is being revised. O CONTINUES ON PAGE ES-4tPJATTACHMENTVREVISION 1
ENGIN~EERS Serial 10606 TECHNICAL WORK RECORD Engineer G. l' arsons Date 1/17/9 6 ProjectTitle RB vertical Tendon Force Calculations Pagel of_ A. f'URPOSE: The purpoec of revleton 1 of this calculation le to correct an error in revie!on O of this calculation. The error in the original calculation le contained on pages 23,27and 32 of 46. The corrected pages follow thlepage. Cale: DC0 3 pro- oo 2 Rev. 1 .- B. DESIGN INI'UTS: Page 3 _of 7 The revision to thle calculation le a correction to the previous revision. This revision has no inpute. This revleion elmply correcto a calculation of the previous revielon. C. COMf' UTER CALCULATIONS: There are no computer calculatione in thle revielon. D. ASSUMPTIONS: There are no aesumptions in thle reviefon which require future conformation. , E. METHODOLOGY: ) l The methodology used in making thle revlelon le identical to the methodology used in the base ] calculation. ; 1 F. CALCULATION DOCUMENTATION: 1 Calculat!on documentation is contained in the following pages. l l G.
SUMMARY
After all the vertical tendone were retensioned, a second reading was obtained for the first four tendone to be re-etressed. Tendon Y 40 was the only one of the four to increase in value. Revlolon O of this calculation used the first value. However, upon further review,it was determined that the eccond "as left" value is the correct value. Therefore, thle calculation le being revloed. The results are contained on page 7 of 7 of thle revlelon.
ENGINEERS Serial g neer 3 % m TECHNICAL WORK RECORD Date Project Title Tab Page 6 of CtJc: DC0 3e Sh-ce 2 _ goy o g Page 9 og - VERTICAL TENDON RETENSIONING OF THE V.C. SUMMER UNIT 1 REACTOR BUILDING Calc: DC03o co OOZ
'Page y AW %,,, ,
TABLE V (CONTINUE) 4 Of JACK BEFORE RETENSIONING AFTER RETENSIONING TENDON F- LIFT OFF SHIM LIFT OFF SHIM ID. AREA CONSTANT CTIVE TilCKNS THCKNS (IN2) (KIP) WIRES PRESS. FORCE (IN) PRESS. FORCE (IN) (PSI) (KIP) (PSI) (KIP) V36 9355 209.970 -4.664 170 5687 1189 12.70 6573 1375' 14.15 ff 9362 210.999 -9.479 6547 1372 V37 9362 210.999 -9.479 170 5700 1193 16.30 6535 1369 17.70 V38 9363 211.033 -7.500 170 5657 1186 14.20 6560 1377 16.00 V39 9362 210.999 -9.479 170 5697 1193 14.00 6555 1374 15.7'o V40 9365 209.970 -4.664 170 5587 1168 13.50 6490 1358 15.20 __f f 9362 210.999 -9.479 6513 -91366f' V41 9362 210.999 -9.479 170 5663 1185 13.90 4580 1379 15.70 , V42 9363 211.033 -7.500 170 5620 1179 13.50 / 6580 1381 15.40 l V43 9362 210.999 -9.479 169 5855 1226 15.15/ 6553 1373 16.55 V44 9365 209.970 -4.664 170 5780 1209 13.6d 6530 1366 15.10 ff 9362 210.999 -9.479 I 6513 13656-V45 9362 210.999 -9.479 170 5610 1174 14.3d 6560 1375 16.15 V46 9362 210.999 -9.479 169 5913 1238 12.75\ 6565 1376 13.90 V47 9362 210.999 -9.479 170 5697 1193 14.00 \ 6580 1379 15.60 ] V48 9362 210.999 -9.479 170 5708 1195 13.35 \ 6560 1375 15.00 I V49 9362 210.999 -9.479 170 5693 1192 13.30 h440 1354 15.00 l V50 9362 210.999 -9.479 170 5675 1188 16.40 6h13 1365 18.10 27 E4W5 i ! **#'58 ' I TH IS vat UE l CoR R.Ecr i 85 CORR.ECT" l VALUL IT V C E b T96 c,e R A.E c7-VAL.v E Verification Approval Type of Verificttyn Verifier Signature /Date Signature /Date
Cale: DC03oco - oo 2, Rev _ c> ENGINEERS Sene: Of- N 'h TECHNICALWORK RECORD Engineer D.D.Krause Date 10/5/95 ProjectTitle Predicted Force - Retensioned Vertical Tendons Page 23 of_ Cafe: DC0 3o 5 o- oo 2 Rev, I p,g, q- g f . . . . .q VERTICAL TENDON PREDICTED WIRE RELAXATION FORCE LOSSES STH SURVEILLANCE PERIOD (1) (2) (3) VERTICALTENDON RETENSIONED PREDICTED WIRE PREDICTED MTRE NO. VERTICALTENDON STRESS RELAX. AT STRESS RELAXATION LOCKOFF FORCE STH SURVEILLANCE FORCE LOSS KIPS % KIPS V7 1352 5.28 71.4 1390
" M73.'/ pli gn V8
" 73.0 V9 1383
" 72.5 p.cg V39 1374
~l 36 6 "
@ l V40 -B56-
" 72.8 V41 1379 V89 1383 }3.0
" 72.0 V90 1363
" 72.1 V91 1366 NOTES:
- 1. The retensioned vertM tendon lockoff forces are from PSC Corp. Vertical Tendon Retensioning Report Volume 1.
Section 2. Table V. Determine Feasibility of Using One Set of Losses Applicable to all Retensioned Vertical Tendons: The following study is performed to determme the feasibility of establishing a single loss for predicted force versus time applicable to all of the vertical tendons. In this case all of the vertical tendons is considered as one subgroup. To determine the feasibility, the two causes of losses that depend on variables which change from tendon to tendon will be reviewed, i.e. the wire relaxation loss which depends on the lockoff fore: at reensioning and the elastic shortening which depends on the sequence of stressing. Verification Anorovat Tvoe etVerification Verifier Sianature / Date Sionatum / Date
.s, 1
ENGINEERS Serial Engineer i / w w. TECHNICAL WORK RECORD Date Project Title Tab Page '21 of Cale: DC0 3oc o-ocq ng, o Page 30 __ of ya ; m Cale: DC0_3o s o- ooz gg f
*Q* ' 7
._of NORMA 1.11ATION TACTOR (8) (6) (7)
(1) (2) (3) (4) NF Feve Fb (4)X AP). N a ay1=s a (f) + (7) VEJtTICAL FL SR(s) Feve. 5 KIPS [1 8R(ty1001 KIPS ((N.2n,1ygg 1TJCDOM h0. K1PS KIPS 8 22 32 .(L134 38.22 38 1382 SJ2 20 18J4 7 1372 8 22 9 0.87 36.81 11 8J2 18 *17.08 8 1372 1390
.l0.08 8 22 22 .L4 1148 13 9 1372 1383 8J2 18
- 1. # 22 20 1.93 IJ72 4 SJ2 39 L. $ 7 g-in 6 C
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-lM&= 8 22 8 1.48 9edw de 1372 4446 $J2 20 1.93 -601 6 SJ2 8 4.e8 8 22 di 1372 1379 7 1.02 9.06 9 16.08 8 22 89 1372 1383 SJ2 31 22 3 1.93 10.18 19 SJ2 9 SJS $
to 1373 1363 22 11 0.114 8.61 6 1366 SJ2 6 SJ 8 93 1372 ,
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mons: 1.honnahamsee Fame (NF) =(Feve Fi.)(1. $R(tyl00] + AFlas 1(N-2a+1)/2N} zF . ,,,r u .a won s w a w . sm + .
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' wenecalis. dons uns Os relasmus a 40 yea.s is aD .-- esadens . 8.32%
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FtLE I9 i Ai\ Tc.woen a. doe. l i I i Verification Approval Type of Verification Verifier Signature /Date Signature /Date _J
1 l ENGINEERS Serial [
- j. TECHNICAL WORK RECORD Engineer D.D.Krause l Date 10/5/95 l ProjectTitle Predicted Force - Retensioned Vertical Tendons Page fl of l
i ! Cale: DC0 3os~c>-cc2 Rey, o 1.5 RESULTS (CONTINUED) The following Table lists the Base Value,0.95 Base Value, and 0.90 Base Value for the tendons in the 5th surveillance.The Base Values for tendons for the other remaining surveillances are calculated in the same manner, i.e. Fw for the particular surveillance is subtracted from the retensioned tendon lockoff force to obtain the Base value. ; p 3c,po_co y gev Pape_ ' 7' of 7 PREDICTED LIFTOFF FORCES FOR RETENSIONED VERTICAL TENTONS SURVEIL. VERTICAL (1) (2) (1)-(2) 0.95 X 0.90 X PERIOD TENDON RETENSION TOTAL PREDICTED BASE BASE YEARS NUMBER LOCKOFF LOSSES BASE VALUE VALUE AFTER S1T FORCE KIPS VALUE KIPS KIPS KIPS KIPS I 15 7 1352 88 1264 1200 1137 15 8 1390 88 1302 1236 1171 15 9 138.T 88 1295 1230 . 1165 15 39 13 88 1286___ Q2b 1157
^*;
LRC 1178 ti n't ~ltro li 15 40 -43f4- 88 N 4306- M 15 41 1379 88 1291 1161 15 89 1383 88 1295 1230 1165 15 90 1363 88 1275 1211 1147 15 91 1366 88 1278 1214 1150 NOTES:
- 1. When calculating 0.95 Base Value and 0.90 Base Value, decimal fractions are rounded downward to the nearest kip.
Verification Acoroval Tvon of Verificatian Verifier Sionature / Date Sionature / Date a}}