The University of Michigan * Office of Research Administration Ann Arbor, Michigan 32549 -1-F CREEP-RUPTURE PROPERTIES OF SANDVIK SANICRO 31 TUBING By David J. Wilson James W. Freeman Clarence A. Siebert Prepared For: Gulf General Atomic, Inc. Post Office Box 608 San Diego, California 92121 June 1968

1/ CREEP-RUPTURE PROPERTIES OF SANDVIK SANICRO 31 TUBING An investigation was conducted to determine the rupture strength of Sanicro 31 tubing made by Sandvik of Sweden. Gulf General Atomic, Inc., supplied machined specimens and specified a testing program designed to determine rupture times suitable for parametric extrapolation. The work was authorized by Purchase Order 2109, dated March 22, 1968, from Gulf General Atomic, Inc. It was understood that Sandvik had furnished data indicating that the rupture strength of the tubing was lower than had been expected based on data for the same alloy made in the United States. Gulf General Atomic, Inc., had conducted a few tests which indicated higher strengths than the data reported by Sandvik. SUMMARY Three replicate tests were conducted at the following stresses and temperatures —a schedule of testing apparently designed for parametric extrapolation to prolonged time periods. Test Temperature, ~F Stress, psi 1400 1450 1500 1550 1600 12,000 x 10,000 x x x 8,000 x x x 6,000 x x x The following comparative rupture strengths at 1300~F were derived from the data using computer programs for optimizing constants for parametric analyses; the usual constant of C = 20. 0 was used for the Larson-Miller Parameter.

Rupture Strengths, psi Parameter 10,000 Hours 100,000 Hours Manson-Haferd (Linear) (optimized constants) 9,860 6,380 Larson-Miller (optimized constant, C= 18. 74) 10,000 7, 300 Larson-Miller (C = 20. 0) 10, 650 7, 700 Published Values (domestic material) 10,300 7,000 Values for rupture in 100, 1000, 10, 000, and 100, 000 hours at 50~F intervals which could be derived from the parametric analyses are included as part of the computer output of Appendices 2 and 3. The data indicate stress-rupture time curves with less slope for the tubing than the published values for domestic alloy. Thus, even though short-time tests were shorter than the published curves indicated, long-time strengths tended to be as high, or higher for the tubes. It is believed that the Sandvik data shows the same trend. Estimates based on Michigan tests for 12, 000 psi at 1400~F, using the parameters, suggest rupture times at 1292~F which are below those indicated by Gulf General Atomic, Inc., tests, and on the high side of the range of the Sandvik data. MATERIAL In a letter dated March 21, 1968, the specimens were indicated as having all been machined from the wall of one tube. The analysis was reported to be the following. Heat No. C Si Mn P S Cr Ni 7-07766.035.29 1. 31.008.005 20.47 33.45 Cu Ti Al N. 03. 47.49.018 2

iA Rods approximately 0. 19 -inch in diameter by 4. 5 inches long had been machined from longitudinal strips from the tube. A gage length approximately 0. 175-inch in diameter by 1. 2 inches long was machined at the middle of the rod. The ends of the bars had been inserted into holes drilled through 3/4-inch by 10 threaded adapters and welded. There was a slight tendency for the gage lengths to be smaller near the fillets than in the center. This had a considerable effect on elongation and reduction of area. PROCEDURE The specimens were gage marked on the shoulders, and the lengths of the reduced sections were measured. Elongations were computed by assuming that all of the increase in length, as measured on the shoulders, occurred in the reduced gage section. After attaching three thermocouples, each specimen was placed in a furnace of a creep-rupture unit which was at temperature. The temperatures were adjusted in four hours and the specimens loaded. The rupture time was recorded automatically. Each test was conducted in a single-specimen, beam-loaded. unit without interruption. Temperatures were automatically controlled to less than + 3~F throughout the tests and along the gage length. Loads for the tests were computed from the minimum diameter in the gage length. RESULTS The results of the tests are reported in Table 1. All but two of the tests were successful. Two specimens (Specimen Nos. 36 and 42) pulled out of the weld to the threaded adapter. The two spares were used for these two tests. 3

The "Estimated Approximate Rupture Times" were supplied by Gulf General Atomic, Inc., and were apparently taken from published typical curves for domestic alloy. It will be noted that, in general, the higher stress tests at each temperature were shorter in duration than the estimated times. The lower-stress tests tended to be longer than the estimated rupture times. Gulf General Atomic, Inc. sent Professor C. A. Siebert a copy of the stress-rupture curves for domestic alloy. The results of tests reported by Sandvik were superimposed along with five tests by Gulf General Atomic, Inc. at 1292~F. This has been replotted and the results of the tests at Michigan added (Fig. 1). The following comments are offered: 1. The comparatively short rupture times at high stresses and longer times at lower stresses for a given temperature indicates stress-rupture time curves with less slope than the published values. 2. Apparently, a longer rupture time is required to bring the rupture strength up to that of the published values, the lower the test temperature. 3. Curves could be drawn through the Sandvik data with slopes consistent with the Michigan data. The scatter in the Sandvik data leads to some questions regarding this conclusion. 4o The tests at Michigan generally indicate less scatter than the Sandvik and Gulf General Atomic, Inc., data. However, if the latter tests were conducted on specimens from more than one tube, it is easily possible that variation among the tubes could account for the scatter. The better agreement for the Michigan tests could be due to the specimens all being from one tube. 4

co 5. The variation among the three replicate tests is less than is frequently found in tubes. On the other hand, it is greater than we normally expect for known uniform material. Cold straightening of tubes will generally introduce as much, and usually more, scatter than was found. 6. Part of the scatter was probably due to variations in diameter. Diameter variation was particularly noticeable in elongation and reduction of area values. Many of the specimens underwent extensive reduction of area at both fillets, and fractured near one fillet. The extreme cases of this are noted in Table 1. DISCUSSION The test program was apparently designed to furnish information suitable for parametric extrapolation to long time periods. Because there is an extensive study of computerized parametric treatment of data currently in progress at the University of Michigan, the data were partially analyzed from this viewpoint. The program is currently set up to do the following: 1. Using the computer program proposed by Mendelson, Roberts, and (1) Manson, the data can be analyzed for "optimum" constants for the Manson-Haferd ("Linear") and the Larson-Miller parameters. The program output includes optimum parameter constants for the data set and parameter values for each data point, based on the determined constants. It uses orthogonal polynomials and selects the constants which give the minimum standard deviation in the two equations involved: Mendelson, A.; Roberts, Ernest Jr.; and Manson, S.: Optimization of the Time-Temperature Parameters for Creep and Stress Rupture with Application to Data from German Cooperative Long-Time Creep Program. NASA Technical Note D-2975, August, 1965. 5

log t - log tA TI - TA P = T2 (C + Log t) (Manson-Haferd Linear Parameter) (Larson-Miller Parameter) where, t T1 = TT2 log tA = TA = rupture time in hours OF ~F + 460 constant (Time Intercept, Ya, of computer output) constant (Temperature Intercept of computer output) Constant (-Ya, Time Intercept of computer output) the computer output for this program for the two para Appendix 1 gives meters. 2. A computer program was developed at Michigan which calculates rupture strengths from the parameters for optimized constants. It carries out multiple polynomial regression analyses of the log stress versus parameter data, using varying degree polynomials to obtain minumum standard deviation and then computes the rupture strengths for the minimum standard deviation. The rupture strengths are limited to the range of stresses of the actual tests. (When the strengths are outside this range of stresses, the computer prints out "0. 0". ) The strengths are computed at 50~F intervals for 100, 1000, 10, 000, and 100, 000 hours. The computer output for this program is given in Appendix 2 for both the Manson Haferd and the Larson-Miller parameters with optimized constants. 3. The program described under (2) above can be made to "force fit" a Larson-Miller constant and carry out the calculations described under (2)o Accordingly, the data were analyzed for the widely used constant C - 20. 0. The computer output is included as Appendix 3. The log stress versus parameter values are shown graphically as Figures 2, 3, and 4. The curves established by the computer programs of Appendices 2 and 3 for the Larson-Miller Parameter (Figs. 3 and 4) were 6

third-order polynomials. This resulted in more curvature than was probably warranted by the data. Accordingly, "hand-fitted" curves were also drawn as a probably better curve. (Note —this is equivalent to using a polynomial of the second order. It will be noted from Appendices 2 and 3 that this would not significantly change the standard deviations.) It also does not significantly change the indicated strengths. The computer program resulted in a curve through the Manson-Haferd parameter points (Fig. 2) which appears to be reasonable. Based on these parametric analyses of the data, the following observations can be made. 1. The indicated stresses for rupture in 100, 000 hours, along with the comparative value from the log-log curves for this domestic material, are as follows: 100, 000-Hour Rupture Strengths, psi 1200~F 1250~F 1300~F Domestic log-log curves 11,800 ---- 7 000 Manson-Haferd Parameter (Linear) 10,500 8, 360 6, 380 Larson-Miller Parameter (C = 18. 74) Computer 10,690 9, 280 7,220 "Hand-fitted" curve 11, 100 9, 150 7, 300 Larson-Miller Parameter (C = 20. 0) Computer 11, 240 9,580 7,710 "Hand-fitted" curve 11,500 9,500 7,700 Note - Rupture strengths for 100, 1000, 10, 000, and 100, 000 hours at 50~F intervals are given with the computer output in Appendices 2 and 3 when the data warrant. Intermediate values could be read from Figures 2, 3, and 4 by calculating the parameters using the appropriate constants. The reader is cautioned not to extrapolate beyond the range of the actual tests because the shapes of the curves are uncertain beyond this. 7

The Manson-Haferd (Linear) parameter indicated lower long-time strengths than either the log-log curves or the Larson-Miller parameter. The optimized constant of C = 18. 74 for the Larson-Miller parameter resulted in somewhat lower strengths than the common constant value of C = 20.0. The parameters gave slightly lower strengths at 1200~F than the log-log curve, and somewhat higher strengths at 1300~F, This was to be expected from the lower slopes of the stress-rupture time curves indicated by the Michigan tests. An "eyeball" average 100, 000-hour strength at 13000F for the Sandvik data was estimated as 6, 500 psi, a rather questionable estimate in view of the data scatter. 2. An attempt was made to estimate the rupture times which would have been obtained if tests had been run at 129 20F for comparison with the Gulf General Atomic, Inc., and Sandvik data at this temperature. This was done in two ways. Parameter values calculated for the Gulf General Atomic, Inc., data would plot about 2, 000 psi higher than the tests at Michigan. Rupture times at 1292~F for a stress of 12, 000 psi were calculated using the average parameters for the 12, 000 psi tests at 1400~F. The results were as follows: Manson-Haferd (Linear) 3, 100 hours Larson-Miller (C = 18.74) 2,900 hours Larson-Miller (C = 20. 0) 3, 550 hours These values were then plotted on Figure 1. They appear to be on the high side of the range for the Sandvik data. Apparently, the Michigan tests came out between the other two sets of data. It would have been more satisfactory to have had comparative tests at 1292~F. 3. It will be noted that the points on the log stress versus parameter curves exhibit greater scatter than seemed to be suggested by the actual rupture times. The scales used were quite extended. However, there is also a variation in parameter values at the same stress for tests at different temperatures. 8

APPENDIX 1 Values of Larson-Miller and Manson-Haferd (Linear) Parameters Based on Computer Program Optimized Constants of Michigan Tests on Sandvik Sanicro 31 Tubing

GULF GENERAL ATCPIC INC 800 LA. SCN PARAMETER CREfCP/RUPTURF PARAMETERS ARE INVESTIGATED FCR 1 VALUE. (S) OF T(A)~ 1 TE.PERATURE EXPONFNT(S) t I STRf USING 30 CATA PCUNTS ESS EXPONENT(S, AND 6 PCLYNOMIAL(S)... . C PR M T(A) Y{A) STD.DEV. R M T A) '.C -1. O 00 2 -46C, -1 e.74 0.01791730 0.C -1.00 3 -46C. -.74 0.0C781771 -_....... — o 1 - 4 -460o.- 2.37 T0.^4809470 d O.C -1.00 5 -460. 2.43 0.4q6960'9 OTO -Ti-I — O- 6 -46 C 2.37 O0.5 140435 0.0 -1.00 7 -460. 2.34 0.5681457 F(A) STD I --- —` ----`-I -— '- ' -``` '-``I`` ^ I —'I -`^' —"`cll - - —e lc-I — —.I ---II —*CLI-IUIIIC)- --- —-C~-CI- -~I-I-_- — C-~ —~ —~l —~ — ~~U — --. ~ —.-L- C ~ ---.~~ ~_ ~ - ^\~ 1 --- ~ -.~~ ~~ -— C -~_-~^_~~I~ -_~-C ---~-.-.~ ----LI-~ --- — —.-^~~11_~I~~ —~ ---- —I~ I~~-~^l_~1-~ ---~~\LI —^ I~_-C --- —l.~ —ll~ -~CI-~_llr —~-~ - ^_-CI_- ~ ~Il~~ly_. ~_ 11 ----~1 -.1.; --- —- -" -,... -......... 1,..., I..,...... l ---,.-. —I.- -

GCtJF GENFRAl ATOMIC INC 800 L-ARSCN FAR.FTFR VAL t S PF ftJC INC sAt L EST STANO5D9 OFVIATfIN 0= O,.', =-1.O, I".= -T(A)=.-4t60?., Y(A)= -18.743, AND STANDARD DEVIATION = 0.0781771 TEM'P STRFSS LCG (* E-3) ST E S S TIME CALCTC TIME LOGC CALC LOG TIME TIME CEV/SD PARAMETER 1^. 1 2.0 4-. C7 1 2?,. C 150.3?. C86 2.177 1.158 0.3874E 05 14 00. 1 2.0 4.C7 9 171.8 150.3 2. 235 2.177 0.744 0.3902E 05 * - 4C0- TO7-.C7 15.3. 162.1 157 0.43 7.2101 0.3897E 05 14C,. 10.0 4.000 543.4 562,4 2.735 2.750 0191 0,3995E 05 14.C.. ''C.C 4.000 566.4 67 ---4- 2. 7.5 2.. 50 C-.3-98E 0 1400. 10. 4.,00 521.7 562.4 '.717 2.750 0.417 C.39C2E 05 1450. 10.0 4.COC 226.57, A4. -.355 2.187 2.145 C.4030E 05 1450. 1 CO 4.000 185.8e 154,0 2.269 2.187 1.C44 C.4013E 05... —?p-C... A... —..C~-~!8. --- 4.0- 7. 260 2. 1 87 0. 33.4012E 05 1450. 8.0 3c. 0 866.4 810.4 2.938 2.909 0.371 0.4141E 05 1450. P.C.9-03 9 755.2 810.4 2P.78 2.909 O.392 0.4130E 05 145C. 8.0 3.03 784.8 810.4 2. 895 2.909 0.178 C.4133E 05 15' CC. 1 O.0 4.000 54.2 -45.0 1.734.653 1.030 0.4C13E 05 15CC. 10.C 4.000 31.6 45.0 1. 00 1.653 1.967 0.3968E 05 -... -5C. — -. -- -lO, 4.Y-C 2-77 450 1.442 1.653 2.699c 0.3956E C5 1500. C.0 3.903 210.C 227.1 2.322 2.356 0.436 0.4129E 05 15CC. - 98.C..-"03 251.4 -- -27 --- 2.400 2.356 -.-564 —.4144E.05 1500. 8.0 3.'03 190.5 227.1 2.280 2.356 0.977 C.4120F 05 15CC. 6.0C - 3.778 - -1448-.1 1219.5 3.1 i 161 3.0E6 0.955 0.4293E 05 150. __ 6.0 3 778 le18.c 1219.5 3.C49 3.C86 0.478 0.4271F 05..C. 6. 3.7.7.. 199 1219.5 3. C79 -.C86 0.0C4 0.4277E 05 i 5. P.?.q3C 76.C 67.8 1.881 1.831 0.631 0.4145F C5 1550. o.C 3.90? 72 7.8. 87 0 1. 831 C.4 c8 0.4143.E 05 15 c. P.C 3.903 667.8 1.829 1.831,.036 0.4135E 05 1550%l..S.C 3.778 317.6 349.3?. 502 2.543 0.52 052.4270E 05 1550. 6.C '.77 '3.6.3 349.3 2. 27 2.543 0.210 0.4?75F 05 1 0 ' I-.....7!.Q7 — 0... '8..........43.1?2 0.. 03 5 3.2 0 0E 5 16CC. A.C 3. 77 106.7 1C6.3 2. 028 2.C27 0.021 C.4279F 05 1.60C. 6..0.778 1 18. C6.3 2.035 2.C27 - 0.1C4 0.4280E 05.- 'f 16CC. F. 3.778 108.4 10'6.3 2.035 2.C27 0.109 0.4280F 05 C

CGULF GENERAL AT _C._T TCNC 800 L I NA -WPARAMETER ^ --------------— __-. ---—, p^^.^pCREfP/RUPTUJRE PAR pET ES ARE I —N VEjSTI GA- T EDO FCR..13 VAL[F(S) OF T(A), 1 TEMPERATURE EXPONENT(S)t 1 STRESS EXPONENT(S)t AND 6 POLYNOMIA USING 30 OATA PC INTS L ( S ) -- ---- -~~ t-(S)~~~~~~~~~~~~~~~~~tU _S _) _ _ ^ ___ __..,.......~..... _... _ _________. __~ --- —~- ~ --- --- -- -- --- - -- ----— ~ -- MT(A) Y(A) STO.DEV. Q R M T(A) Y(A) S7T'D-,DE V. "" C.C "1" l.OO'"""'? '3~050. - 4C4 0 085936167 ~ T 65.0 0 c~~~~~~~c 1100~~~~~~~~~~~~~~~ 2 -..4 4. 0 I0 5 -00;' 0.0!.00 3.?05C. _-14.*54 C.0851344 ___0.0! V00 6 -1000.............. ~C.....................?050 ~..........3-,CC.-0'75-'085C3 C0.0...'~ -1000.0 30.0! 1.00 0 5 3 050 __2. 4 5 0.5183544 0. 0. 0 ___.00 -1500................. "0.0;'700 6 50.7 2.410.758r156 0.01.70 3 -1500. C.C 1.00 7 3050. 2.41 0.5511519 0.0 1.00 4 _-1500....,.......... 0^ --- 5c -9. 0 la. ' 0.' - 6'0. 9 4 7 5 0. ' 5 - 1500'...0. 00 _3I5.3 25.5. -.6 0_O.C88710 C 0.0 1.00 6 6 -1500. ". *0.0 1-....-. 00 4 2 -50 C2.-3 8 0749123 -i 0 I.'O 0 C 7 -1 00-..O 0. CI.O 5 25590. 2.42 0.524 9 2 1755 7 0.00 _1.00 2 - 2000. 0 1.C 6 -2550. 274'C 0.5436739 0.0 1O..00 3 -2000. 0.0 1.00 7 7 2550. 2.40 C.5593435 0.00 1.00 4 -2000. C^.....-. O. -3.54 C7. 2 iY327 7 0 ~ 70 t.0 5 -2000. 0 _ 0.0 I *.0O C 3 2050. -3.54 C_. _I 01. 264 1 0.0 1.00 6 -2000. 0.... O- 1.OO " 4 20 507 2.66 0 cr,~224547 0.0. OO 7 -2000. O_.pC C __ 1. go 5 2050. 2.75 C.5516979 0;00 1.00 2 -2500. ''... 0.071.C 6 2'050. 275iC 54.5q752 070 1 O0 3 -2 ':00 ~.5 C~495 o1 -..'0 O.C l.00 7 2050. 2.45 C. 555842?2 0.0 1.00 4 -2500......0.3...1-00 2 155C..7 l0.4-31 C44 0. ----1.00 5 -2500. C!.C O C 3 15 5 0 1.c 7 0.40'71965 0.0 1.00 6 -2500. I C 100 4 1550. 7. — O70 4.6296377 0.0 1 00 7 -2500. _0_,.!_.. 00 5. 550. 7.54 4. 6020'975 0.0 1.00 2 -3000. 2.29 07.5185353 2.36 0.53622q8 2.33~ C. 5578928 34.92 0.0784003 34.90 007179697 2.45_ 0.4897152 -2.4 -7. 5 13744 3 2.48 C.5254104 2.34 0.5608695 40,84 0.0785252 40.82 C.0780451 2.32 0.4914196 2.'3 -C,5 g'- 92 3",5111592 2.36 C.5261917 2737 0.o5580807 46.27 0.078698 2 46.24 O 0781885 2.36. C.49C92g97 2 —36 -0.2 -80 685 2.36 0.5487229 2.36 0C 5622753 52.92 0.0797490 U.(1!.(O 6 153b1. '1.71 1.gg3Zl!~ 0..00 7 1 55 0.. 0 6 1 56_1_._1178 83221 0 I O o 7 1 5 50C 2 6 I, 1 17 83?.... -.00 2 1050. 7. 21 0. C 831 37 2 0.0 1.00 3 1050. 7.21 0.0848492 C. 0 1.(00 4 I1C 50. 2741 C 495 1. 6 4 0. 0. 1.00 5 1050.2_ 2.32 0.5249423T O0.e 1.00 6 1050. 2.33 0.5354290 0,O ~ce CIO ~ 0 2,33 Q, 5 3 5470 0. 0 1.0C 7 1C50._ 2.3C Co5557079 O. C "1. O0 2 550 o 12.74 O.0767541 - 0.q 1_.0_ 33 550, 12.73' C.C771896 O"C l On0 4 0550 2.30 0 4939420 r-, rIr t p; 'A tl 3_1 rt? C 4 4% c; C 0.0 0.0 0C.0 0.0 0.0 1.00 5 1.00 4 1.00 5 1.00 6 1. O.7 -3U000..52 89 UO. f74/4 -3000. 2.38 0.4908093. - 3000 2 42 07 5"0633 44 _-3000. _ 2.36 0.52528-24 -3000. 2.38 0. 5560C27 I2 it 10 9 8 7 6 5 4 3 %. ~..i.-J,I W w.....-'...I V. ^- 41-... %, ~w. /r )L '"T ~ ^./ 7/ 07.!00 6 55.C, 2.33 C.5472484 _0.0 1.00 7 550.?..36. 5 6C6937 0I). 1%" OC 2 0. O 1. 7 0 0.0 77086 0 0.0 _ O 100 31.P.77 C.0770104 __ 0, ~ 1~C 0 ~4. -- -~I ----..L~- o........100 4 0. 240 C-,49C0005 _0.." __. C 5 _ 0. 22.42 0.5051261 1 070 1.00 6 0. 2. 3.77C968 3 0.0C 100 7 O. 2.4C C.5509080 _ _ ~~............ C!^ —... 00 2... —.-.. 50_~..... e..... 24 _.. i 8 — 0-~~_,,'0-7 —76 0i7, "~ O.C~] 7, e '"I O "2 ' 5 -^O C. 2 4. 1 8 0'.2:7 7 76"OT1.3 7i 7 0.0 1.0(3 3 -50C. __ 24._16 _0 0 7 3 5 ____ _______' "' '___ 1,(? C - f5 0! c ~ 2 4 r t: 16 0.0773345 0.0 ~.lOC 4 -500. 2.72 0,4849977 C.C 1.00 5 -500. 2.39 0.5176132: 0. 1. 00 6 -500.?. '7 C.5367544 ' { C _ 1.OC 7 -500. 2l2.34 0.5533TR186______ __.:.: _., i _ P.O" ~ ~ ],'10-0 2 - 1000. 29. 65 O 0,779899 1 0.0 1.00 3 -10l0. 29.64 0.0776187.C 1, 0 4 -1000. 2.05 0,4966 237 --- -- -- ~- -- ----— e -— ~- --- ~- - --— ~ ~ ---— ~- ------------— I —~ — - -- ~ ---c~-~ --- —----- - ------ --- — ~ -` -— -— - -- L --- — --- —- ' -- -— 'LI — --- —-LIII —. ------—. -— II_ —-~--L —.~ ---~l~ —C ----l —~-111 _ _ ~._~_i L~ i~~_ ~~_ -1

GU t.. GENERAL ATC.., IC INC 9o. _ LINEAR PARAMETER... V At I U ES PO C'SMA T'-ANAR ' F V IAT'CN.......... 0= '-,."', P= 1.00' M"=?', T(A)= 5..0.,Y "A)= 12.74 2, AND" STANDRD CEVIATION = 0.0767541 TFMP STRESS LCG TIME CtLCTC LCG CALC LOG CEV/SD PARAMETER. -_-3_STPESS TIME, TIME --- TI ME.............9 'l-'2 "1,4-' -'.........-'2"',-0... 4.07~! -.' —C' 1q3.8 2.086 2.158 0*.932 -O-.1254E- 01 14C00. 12.0 4.C7 171.8 1q3.8 2.235 2.158 1.C005 -0.1236E-01 4-0-t 2.4.7 -- TT --- 1 —. —2.210 24 158 0 6 76 -.123 9 E 01 1400, 1C.0 4.00C 543.4 625.2 2.735 2.796 0.7S4 -C.1177E-01 1 400 " 10.0 4. 00 -5 6.4 2 - - 72- 2 *.75Y ~2.7Wg 07 -0.11701 --- 1400, 10.0 4.000 521.7 625.2 2,717 2.796 1.024 -O0.1179E-01 I-T4- O' 1 -0 —0 4.P000 226.5 1-.2.6 2...355 2.2.11 1 I.8777 -1154E-01 1450, 10.0 4 __ 000.. 15.8 16 2. 2.269 2.211 0,756 -0.1164E-01 ' ---1-4-C. 1rc~T 4.0C00C 1l2,1 12,::1 l.6 2. 260 2.21 0.642 -0.1165E-01 1450. 8.0 3.903, 866.4 798.3 2, 938 2.902 0.463 -0.1089E-01 - 4.0 -1-'7''^'-..._........0 3 —903 -.......7 27.878 2.902 0.314 -0.1096E-01 14c50. 8I.0 3.903 784. 798.3 2.895 2,902 0.C97 -0.1094E-01 r15CC. 10.0- - <57 4.000 -. 54..........2 - A42.3 1.'734..-626 1.4C8 -C. 1159E-01 1500, __ IC.CO 4.000 31.6 42.3 1.500 1.626 1.645 -0.1183E-01 Y5W. -T0I6 4.2I3 T T * --- 4i-Z ---~71189E- 01 - 1500. 8.C 3.903 210.0 226.7 2, 322 2.356 0.434 -C.1097E-01 "" I"?0-0. - ~~ 251. '4 " * " "2. 56-~,- D. 0 -6 8 96-0 1 --- —1500, 8.0 3.903 190.5 226.7 2.280 2.356 0,g85 -C.1101E-01....... 1-500....3...' 77-8......-7 14 48.. - 56. 9 3. 6 16"V.06'"-. 70-.CC9'g E-f01 1500.. 6.0 3.778 1118.9 1156.9 3.049 3.063 0.19 -C.1020E-01 150-.6. 7O C- -- -99-9..C63 0C. -7C. 1017?7 - E- 01 --- ~_~ LI~__~__ _~__~_~__~___~^_~__ _I_ -- -- I- - --— C --- — I-' --- —--— `-C~-Y`- -- -— ~ —~I .-.....- -...~~-.~ —l-IL- ~-~^I~ ----~^ -~ —~l ---L i-,. ' 1550.......- 0.....3.903- — __ 76.0 64.4 1.881 1.809 15. — -.. 8..0 3.903 7 4. - 42.4 1.0.9.. 1550. 8.C 3.c903 67.4 64.4 1.29 1.809 1550-..6.-0 3.77'. 6 135.C. 2. 502 2.554 _IC, 6.0 3.778 336.3 359. C 2. 527 2.554 1 5 50.0. 60554 1600. 6.0 3.77P 106.7 110.8 2.028 2.C45 16C. 6.0 3. -778 108.3.. 110.8 0'"35 2.045 16CC. 6.0 3.778 108.4 110.8 2.035 2.045 0.937 -0.1086E-01 0. 'C?-0.1087E-O1 0.2%8 -C.1091E-01 0.678 -C.Z1024F-01 0.354 -C.1021.E-01 0.016 -C.1Cl9TF-01 0.213 -(0.1C20F-01 0.129 -0.1020E-01 0.124 -C.1020E-01

> -A APPENDIX 2 Computer Calculated Rupture Strengths of Sandvik Sanicro 31 Tubing Derived from Larson-Miller and Manson-Haferd (Linear) Parameters Based on Optimized Constants for Michigan Data

PARA vETRC A iNAL.-YSIS 7 S IV k S S - R UP- T 1) AT', F T A, BY THE HU NIVERSITY OI ICIGAN A G IH TE,' E R-A TUpRE ANA 1 Y S 1 S C G ULF CGE NERA L AT O M I C. INC 8 C - ~" ---AN!G ES l T- F `3 0( 30 I G I -D3TA- ',-;AT A AL YZ f= - t W E S T " H TGHE S T T__ 2 7.7 1448 _4 8 - -- - ~ --- -~ — —' --- IF(T ATURE ED`G F I ^ 4 T0 Y6 W PARAN~4ETER F L'VALUE 0387 0 C5, 0.4?90_05 THE ~ 13~ P "OPI: MI~ ZEO.ST RE~pSS -RUP TRE lP, ARAMETRIC CONSTANITS PROD CiE C BCPY THF;SE (]F OR- o Y NO M: — n"!E M E NJO-E LSC-R F T.T~s- MAN S C r-C 1R~T PAN I V PROGA, (A SA TECHNICAL- NOTE TN 10-2037975) AREF L IS TE F PAR FTr TYPf == LRSONi-STrESS Ex'PG-NENT Q E TO.QTPTTEPERAE EXPOfNENT T *R -E 1. TEMPERA' ULG TIME I NTRCEPT Y 5 8796 AND ^OR THIS SET OF DATA THESE CONSTANTS PRODUCED A RUit~flF~tIF POLYNCNMB di^ REGRESSION F01~ P'CL~YNON~3i^SflS FROM~N OMRDERL S rR D 1 TO, 67 USING CUBLE-Pf)RECTSION (6 TFHIE F C L I nl I N G S T A DNI 0 A P F 7 EVIT AT IOCN S FO? EACH ORDER OF PGLYNN1A OF THE FORN LOG(STRESS IN K 'TrETALLURGY GROUP, THIS IS COPY 4 OF 4. _ IALS IN A, SLIGHTLY MODIFIED VERSION OF,ELOW: TURE INTERCEPT TUA) - 460,*Oi STAN0ARO DEVIATION OF C*n781771* 4-91iT WORD SIZE) A R.ITFMETIC PRCOCLCED SI) FUNCTION (PARAMETER? INVES'TIGATEDt. WHERE 4 STf. OFV TATTCN -lE 10 MAN'S NFAR S, NGjI IA MATRI X ORDE —FR r F PCL.YNO TiAL = STAND~AAR VITITTON= 3 3 4 5 6 -_ _, b _ _ _ 5...-I 640 - 0. 0 10 7827 0.0107 717 0, 0098044 0C.100880 AN D Ul SITNG THE SMA I- LLE ST N,", T A Q, 1 DE-71VIA6, TION A S THE C R I T E - FON R F ES T T HE ENTIR E %I ST R ESS S2 IN KS I=( 0370 0.55 0 0 0.50040 02)JP{ ~-.81760 00) 7 P + 0 ( 0 750070-0 21} FP AS LARSON PARAMETERPt TS CIVIOED BY 1000,I U3SING 'TH —ir ^BOQVE EQUATIOCN., T HE F C L LTCW TG NTABLE OF - STRESSES TO P RODUC t) C E RUPTUPRF AT T H FE7 SPEC FI F T ED.i, r~ 61 NOTE THA1T A STRESS O3~ r'E ZER O IN DIC~ AT% E S 'TH~AT `TH~-~ E rf~i~ t CAtLCULAT EDO ST R. E S S WAS~45 GUT7E OF THE RANGE I T I tE T N T ' R A H G I.d P S 9T^O",^.0S, 1,200, 1250I.300e 13 50 1400. - * 10000 _____ O Q ______,0 _____ 0~n ______ 0 0 ______ 11 873_ __ 9.968 8 8.367 ___ 6. 4 0 9 __ 1000CO. (T0n070070 10.690 9.279 7,2>8 0,0 0. JUSINGrl fE eSTANTS LI S'T f AWDVEr T-E FOC LLOWCING PARAMll'ETER VALUES NERE CALCULAT EDR THE Til TIMS Ea E Hco"R AT H OC U!RS _j0 50 110 0 qc. 11,50. ____ 1200. _____ 1250. __ 130. ____ 1 50. ___ 1400.C ____ — ~- 100.ff7TT W~^5 0.3240 0~5 cf.33lit C 05~; 03 40 T^ 0.355 053 0.~3650 05 0.3750 0~5 0.38603 05 07" lOCC. C.32RD3 05 0.3390~ 05~~ 0.:3500a` 05~ 0.61 05032 50335 0:.394~;0 05~ 0..4040 05 0.~1" I^T lT.07^M^)5"' 0.3550 C5 0.3660 05 0.37803D% 05 01. 3 8 9j"A5 04000 I 05 0.41D.20 65 0.423 7 05 07 00. 0 0 037 005 35 40.410.0 05 0.41.l nC CF430D 05 -.1 JR442 3280 5 0. C'- O 5DC 5 0- l 7C 0 )( 5 O 8 D C,5 4 0,4 200 0 BESTI EQUATION IS GTVEN BEtLOW:_____ _ 4 5 ) ( '{ I~__ jpi +( 0,o __ Hf0 __ ED TINES AND TFMPERATURES WAS CALCULAOF THEX_ ORIGINAL DA'TA ANALYZED. U R _ E S 1450.~ 1500 "150, 16f00 3.415 __5 _9*200 7 *7389 6.0019 7.694 6.c88 C. 0.0 3.0 0.0 0-0 0.0 MES AND TEMPERATUJRE S INDICATED: ~" ~~-' u RE s 1.450 15C0. __._1550 -1600. __ 3960 05 0.4070 05 0,4170 05 0.4270 05 4150 05 0.4260 05 0.4370 05 0.448C 05__ ^340~ ~G 05 0.4460 05 ~0457D 05 0.4690 05 530( 05 0.5 4 4650 05 0.4770 05 0.4890 05 I I --- —-----

T HE C R T T L "ATA USED FOR THE 4ABOVF- ANALYSE-S FOLLOGWS:_________________ -^~~~~~~T S S I N K SI I=200^TO1 0 1000 k.0,00 10.0000 LOG OF KSIT STR, S S.10 9 ___. 7 3 __ 1 0 792 ___ 1 000f__ 1, C0 __ 0000 ___ 1 0 ___ PA R. M TER VALUF.8 7 0 05 0.900. 0 05 0.3990 0 5 0.,4 00C0 0 5 C)3990 0 5 0.40 C T FM P FPA T UIR, F OEG I P.-9~ (Y:. -- 171 0,5 0i 00.^ O^1 FES coo KS? 0C00 8, 0 __ 0 0 ___ Q Q Q __ 1. Q __ 8.00 O^ TM!IJ N HORT752 7848 5 2?7,6 2770 220 251. ----- P^TWETT^YALUE ^0,413[)~05-"ir^^T?!!"!!^ — 0.4010 05 0,3970 05 QT~~~~~~~~~~~~~~oGQ^ ^741.30 0504,41-1 -TENM~-PF ATURE. F E F I1 0,C__ 1 50 ___ 1 5, ___ 5 0 ___ 15 0, ___ 5 0, __ l t-C G COF K, SI ST3 IES 0, 7 2 __ 0 9 3 __ 0, 0: ___ 9 31 __ 0,7 7 2 __, 7 2 __ 0 7 IMF IN HrIR f7.19,TO '"74.207, 40 7603.0T _____ PARANETER ~~~~VAIUF G048 5_,100 _044 5 043 5 04270 05 042890 05 C,2 5 0_. ___ 1450, ___ 1450. __ 1450,____ 000 10.000 10.000 8.000 30 I.,0 __ 1.0000 ___ 1.0000 ___ 0.9-031_____.50 ~~1.85.80 182.,10 866.40 -3D 015 0.4010 05 0.4010 05 0.,4140 05____ coo 1500 1,500* - 15013C - -- - O00) ___ 8.000 __ 6.000 0_ __ 6.000____ -331 0.9031 0.7782 07 782.40 __1_190.50 '_1448.10 1 1 18.*90 _ _ 40 05 0.4120 05 0.429D 05 0.*427D 0 5C_. ______ 1 6 0 0. __ 1600. ___ 1.600>_____ 000 6.,000 6.000 6.000 7 8 0 7 7 8:~2 ___ 0.7782 ___ 0.7782___ TOO ~~~106.*70 1C8430 IC8.*40 8D 05; 0*4280 05 0.4280 05 0.428D 05 ___

PAU^METPTC -ANALYSI rF STRESS-`lUPT1RE 0ATA BV TEUIESTOF CHI GAN H I G TEMPERATUPEIr.AN'ALYSI V S -FOR f Ul L F GEFNE A A T.- NA C 1 C I NC 8 0 ____ _ _ _____ ___ ~^A^GiS-~F-n*^^ W ORIGINAL OA N' GES OF T.7LO-WE S H IGHE S T _ ______________________________________~~ ~~ ~~ ~~~ ~~ ~ I___ ___ T ME H P.) _ 2___ 7 7 144 S8_____ ~~~ ~~~~~~~~~~~~~~~~~~~~~~T NF- l1PPATURIE C EG, F) 1 4 00 6~ 60 0 PIARAMETER VALUE -0.1 250-01 — o-0.0ll-01 ____ 'THE CPTTMN17F0 ST RE S S-RtUPTUR tPIFARAMETIC. A.CONSTANT'S PRDCD BY THEF US O5F OR-.-PTHOOA, ~ YO IVHE ENo E L.!-R 77 ERTS-NN FRAN IV PROGP.AM (N A NT N-T M~CISA TECHNI1CAL NOET -95 RE LISTE0 METALLURGY GRCOUP* TFIS IS COPY 4 OF 4^ ____ IALS IN A SLIGHTLY MCDIFIED VERSION OF ___ PBELCW* PRE7E TYPE = LINER SES EXPCNENT q T 0.0, TEPERRA T U RE E XPEN 0 N 10~ TEMPFRA1 Ll,.6: TIVF INTERCEPT YfAr 1?. 7 41699.6 AN IO TS SET IOF OAATHES-E CONSTANT'S PRODUCED AA:;D r u R.E- INTERCEPT T(A) = 550-0~;'TANOARD DEVIATION OF 0,076754"1~ ___ __ - -.- - -- -- - -- --- I. - - - - -- I..- -- - - - - - - - -- - - -. - ---- - - - -,- - - - -. -. E- PI R E C I S I 17 N f 6 L 15 611 L, T I P 1E C., L Y N f] I All.- p — C P'. S'S I C N P -,C L Y f\ C T 4. t. S F R CJ; I T U S T NN' J B ST4.,NPARl rEVIATIGNS F. E, CI YNI OF THE F' LOG(STR ESS IN KSI 3 IT WORD SIZE? ARITHMETIC PRODUCED ) =FUNCT ION (PARAMETER) INVE STIGA TED* W_ HERE A~ S-TC, nENVIA- GRfCP 1GE POLYNOMIAL ___ 1_____________ _____ T ICON F100 ME FA NS ST ANDCA R DEPVITA TTIO N 0,015547 3 9 5710 266 2 0,0976I.O __ ANT- TSN TH S ALL T STA N 08RD ':_EfVIATION AS T HE' CYRI T ERION FOCR~ ^BST., TH —E E:NTTRE ~ TRES " 23 _______ _________________________WHEP-,E- Pt ORIGINALLY NEGATIVEt. WAS IISED AS IPI I "USING THK. ABOVEF FOtJlATIO7Np THE FcL~f7WlNG. TAB3LE OlF_ STiRESSES TO PRODUCE RUPTURE AT TfHE SPECIPF] TED Nf7TF THAT A STEESS O ZE l NOI'l'A'7S THAT T HEF CIALCULATEO STRE,,SS, WAS OUT OFTERAE HOURS~~~~~~~~~~~~~~~~~~~~~~~e I.5. HO 1.5, '3 120 1.C0 130 30400 __ _1_CC_.____ 0.0 ______ 0,0 _____ 0, ~ ~ ~ ~ ~ ~ 0 k 0 ' 0 0___ 0 0 ___,0 ___,___0,0 __ 000 C, ___ 0 0 ___,0 ___O3____ ___ 0 0 ___ 9 8 0 __ 8,014 __ 6, 277 ___ c000,7ood7.0499 8,58 63 *00. 0,0 US I'NG T HF 3". NS T-A N T LT ST f- C,, CV F THE FO0LLOW lT~I PGARAMETER VALUE,.rS WEPRE CALrULA E'FfOR 'THE T] """"lOO,~~~~~~~~~~' ~C.1f-10,90 0,7 0-10 1 5 -1,.3.10 1.43D-031 0.134f) 10 26 -1 0 lOOOO,"~~~~~~~~~~~5 0017D 1 I0-0,1. 0.1 5 '-"D-G1, 0,4Z0 0.40 -0 0 12 -1 01 7 -0 'I,10.9I-01. 0,103PJ0-01 0^ 1QOCO 0,15 5 I0 0,400 I,200 0.1D'1 0,110-0 013- 01 096 80-0 0,91? 1D-0 2 -0 B3ES",T* EQUATION IS GIVEN BELOW: _ ___ __ IEO 'TIMES AND 'TEMPEPA'TURES WAS CALCULA — CF THE ORIGINAL DATA iN-ALY7F0*_______ 1450.* 1500. 1550.* 1,600. 0. 56 Al3 _____ 8 1988 '7. 524 6.127 _ __ 7.743 6.1 94, 0 (C). 0 00 0.0 el*0 CIO coo MES AND TEMPERATURES ImNDCATED:-1450. ___ 5 0 5 0. __ 1600. *__ 119D-0 0.113-01. 6.107D-01 0.10200 9710-~02 0.200-02. 0,8740-02 0.9830-02 860D-02 0.E150-02 0. 774D-02 0.737D-02_ __

THE~.f: O^j~iGTNa _ CATA t.US, rF T T AHE f A P OzV F A NAL YSES F OL L.S: T E MPEA T Rt OEG STRESS IN XST LOG fOKF KSI STRESS TINNE N OURPS PAAMEERVX 1,400, -- 41. 0,1 I.. ( '_ 7 9 2~ ~1?2,00 I 0.1?.250 01 1.4 CO - 240.i. 0 %,.7 —;I 7 I. 8 C3 1 2., "%.000 1^09 1.62".7'10 0- - I " 4 D- 0 1 1 4( 0Q, C.C000 1.0000 543.40 -JI.I I 80-01 I. GQ O C,10.000 566, 40 -0.l 180-01I 1400. 10.000 - 1,0000 52 I.70 -0 1I80- 0.i 1450. 10.000 1.0000 226.50 -0.1150-01 14-50. - 10.0000 1.0000a 185.80 -0.'1160-01 1450. 10.000 1.0000 18-2.10;-0.116-01 C:-6 0 8s 000 0.9031 866.40 -0.1090-01 T E M.P E P -6 T U. O E G F STRE S S 'IN K-S-1 1ijrC'r K Si SIRES T TI MF IN HOUf-I.JRS 1 4 50. PO U O 0 I 755.20 1. 4 -: 0 -.,: "..) --.9C3 —8 784.80 ".150 1. 000 1.0 0 54.2 1500. 1%C0.000 1,0000 3-,:II1 60 10.000 1..,0 00 27. 70 15- 00. P.000 0.9031 21. O. C 00 150e0 8.000 0.9031 251.40. 8.000 09 031 190..50 1 500. 6.000 0,o 77 8 2 1448.10 1500. 6.000o 0.7782 1118.90 PW5ME"~FT-I-ER VAIUI1~i: =010001-.I000 -0.1160i-i01 -0.18D-01. -C.1190-0137 -0.HODF-OS, -0.10-~ T E MPE" F TJRE, CEG F 5 1500. 1.5 0. 5 1550. 5 1550. _ I__.5 C50. __ 1 STRESS IN KSI 6 = 6000 8.000 0008.00067000 6.0.0 6. i IOt:G CF KSI STRESS = 0.7 7 8.2 ____ 0. C3 ____09031 ___ 0.903 1 __ C.7782 _-0.778 2 _07772 IE. INHOS 1.199.10 76.03 74I.20 67.40 3176I7.60 336.30633 5 __PAPAN~F~TER VALUEtff~- ~3-03.1.020-01. -0.1090-01. -0a.1090-01C -0.109 0-01 -01 020-01 -0.102D-02 -0.10: 90-01 -C.1100-01 -0.1,010-01 -0.1020-01 50.1600.16001600. 000 6.000 66000 6.000 782_2__0.7782 _0.7782 0.7782. 10Q 5 IO 6. *7 0 108 O 38 -a 0 10 8.* 40 20-01 -0.102,-01 -0.102D-01 -0.102D-01 _ --------------- --- —-- ---- -- --- — ` ---- --- —------ ------------- --------- ----- ------ -----— ----------- 11 —1 ----` --- —-- --— ` - -— --- —-- -- I ---- -------- - --- —----------— ` -- - — --- --- —-- ~ — -- ---

APPENDIX 3 Computer Calculated Rupture Strengths of Sandvik Sanicro 31 Tubing Derived from Larson-Miller. Parameter using a Constant of C = 20 with the Michigan Data

PAANE PTRC A N 8-Y S S OF F-ST ES -UT UjREf DA T BY IH NIVER.S I TY OF I C H IGAN H I GH T EM NP. A T P __ N M.Y SI FOPI: '1t 1-F 11 GU F G NERPA L AT NC IMI IN C 8 00____________ '~-~- RANGES~~~~~~~~~~~~~~~~~~~ OF TE C ORIGIf-ALEDATA ANALYZEC: LOCIES'T HITG HE ST' ___ _ _S~ ~ ~ ~ ~ ~ ~ ~ ~ ~~ ~ ~ ~~ ~ ~~~ ~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~TR lES ( KH n6. 007. 70 04 _..__ --- —-~~~~~~~~~~~~~~~~~~~~~~~~T E MPF PAT URE (OEG, F ) P0 0,16 -~00 ___________ P ARANETER VALUE 0.4110 0~~~~~~~~~C5 0.454 05 __ — NOT^TH^T'^O^T~~~lE ANALYSIS OF THESE C^TA^ THE~ FLOIN FORCpED-FI'T SET OF CON'STAN'TS WAS "S STRE-SS EXPONENT F.^TNETP XPO-NE:NT,.=-I1.0-i TEMPERATURF TNTERCEPT CT(A) A 460C -NT-T C- V PL-YNONCI TA I- RE C E 10^ I C N PC LVNN Y l S N R`MMCRDER. I TOC 6v USI NG C CB L F PR E C I S IO0NI 'T HE F C I,C IN G S TAN'ARD PCF-N DEI A.TION ^O ODRO OYOL..F THE FCRN LnGSRES, W Hl.E7RE F S T C r-E\VIA- C O R P OE: C PrLVYNCNIAt- ^ ___ 1_____2_____^____ ~TiN C F II CrFA NS S T AN CAFCrO~OV IA TI CN 0. 125 550C 0.0108 60C6 0C.010B2 05 O N E 4 P S I N -U L.A P ^ T ',-'T X_________ ______________________ UN ) SI NGC 'THE S MAPL LEST S'T ANDlO D)E-:VITA TIN AS TJHE CRIlTE:RION F OR PEST, I 'THFE ENI IN~~~~~~~~~~~~~~~~~~~~~~~~~~ K 11CD0)H0.06 41}f(03^002? (058D0)I}^ 0.31.660-02) ______ _________________________________<N~~~C.-fHERF Pt A-S LAPSCN PARAt-!ETE-Q 'IS Cl- VTCDFO BRY 1000. "'"IBTN~~~~r~ff^P A TlV F 14I "F;,2U TT C N! 'TE ^C t1-WITNG TBL O STE S SES 'TO P RODPU CE RUPT URF A'T THF.E S E Ci TED.~~~~t CO 'THATT A STES OF ZE IDCTS TH14ArT THE C A~LCULJLA T FSOTES W AS COUT OF THE AG T T 1 T N T EMP R ' T ~WUPS 100 ^T1 150120.T; i100.3501400. - ITK^" 07S'TO75^7 0< 0.. 0992 9. 545 10CCC. 0*0 0.0 _____ 0.0 0.~~~~~~~~~~~~~~~~~~~~~~~~~~~I0 0.I1..6 8.62 9 _ 6 70 11 I TNNG J, -H C T 4N T L'T T^ A L VE- THE FCJN~t^RA E VAl-JE S W ERE CALI.,LATEFO H" H CUP, S_ 1 5. __ 11. __ 11 0 __ 1200 M. 125. _ 1 0. __ 1 5. ___ 4 00. TOT~~~~riT^^^D~~~~7 0i 7TT^ 050.54 C5 '. 36 50 05C 03 760 C 5 IC'3870 05 0.90 05 0.4090 05 1000~~P. 0.470 05) O. D 05 C" 70 5 0.82 05 0.93 00405D0, 05 0.4i1.6 P 05 0.42 8P 05 ( 12 """irr13 /i F ^1C? I"- ^ ^ C 5 C 1; C11 5 G'-T9^ — 7- -.4 1 05 0 4 2 20 05 C. 43-4 P 051: 0.4L460 C ) 11 1.00000. 0.3770 05 0.3900 0~~~~~~~5 4.C^ Q5 0415D 05 0.27 050.40 05 0.4520 050.605 =METALLURGY CGROUP* TJHIS IS COPY 2 CF 4* ___ PEClFlEO:.0-t LCG TIME INTERCEPT Y(A) =-20.000000 ___ [6A-8.IT WcpRD SZ)ARITH-ME-TIC PRCCUCED KS I ) =FUNCT ICN (PARAM1ETER) INVESTITGA.TFD: ___ 3102'74,7 6 0.C104796 0.158 ~BEST# EQUATION IS GIVEN BELOW:_______ IPI +K 0,0 ____ )]PI +( 0.0 ____ |P "lIED TIMES AND TEMPERA'TURES WAS CALCULAE OF THE CRIGINAL DATA ANALYZED. _______ U_____ R_________S____ 1450, 1500* 1 5-5-0. 1600. 10.4 2 4 ____ 102 __ 7*1348 coo0______.7.831 6.*17`9 0.0 coo 0.0 _____ 0.C0 0.0,_'c0.0o__coo_ ~d0 O.07Cio TIMES AND TEIHPERATURES TNDICXTEC: u E _. '144 0 C 50. __ 1550. ___ 1600._____ 3..4200 05- 0.4310r 05 0,4420 05; 0.4530 05.43 90 -5 0.41510 05 C.4620 05 0.474.005__ )*45CD 0 0.4700 05 0.482.D 055 0.494C 05' ).4,l~ 477 D 05 0*.4900 05 0.*50:2D 05 0.5150 05____ 5 4 3

T HE C f;I tIN. C 1TA USE FO THFE COV E ANAL YSES F CL LO S__________________ AEP n TU t DEC P 14 0 ___.C. ___ 400 _ 1400 ____ 1.400 _ 1 40 0. __ 3A FS ES T IN K SI T 2200 12000 C. 0 10,0 1.0C000 10. cooO7 __ 3O I K SI STRESSF, 1- I. 7 2 __ 1 0 9 ___.79 1 0 0 __ 1 0 00 1 0 *0:-0i0 __ P F PR MT EP _7 eV^_^ 6.1 t) 0.1. 05 0.414-D 05.4 3 05 0.4A230, 15 0.20 05 0 "A30 C05 0.4 P I^E" AT Li T C E G F 'I. T n"1 0015 0T5 ~~. -- 1 00I ___ __ STRESS IN K~~~~~~i = 8.000 ______ 8.000~~~~ 1 0. 0 __ 1. 00 __ 0 0 08.0 0 ___ 8 ET'cT~~~rF KSI STRESS **= 0.90310.90311.0000r.TjUUO1,0000~~~~~~~10 I I0.CO1903 C1C' ____ TINE I~~~~N, HOUST ^ 5.074 8 4 2 3.02.0P00 5 "PTn T E -Vr j' - jk.,437 O1 0 4 7 05 -.^Z^ " D. 21. 25 -.4 0 05 -7C0"" 0 4 ___ ~~~PA IzTFTE VLU A *.52 5 0.47 05 0 40 Q5 0.49 0-04I00.43.5 50. ___ 1 450. ___ 1450 ___ 14 5 0. __ _ 0`00 T 10000 10,000 8 *000 00k ____.1. COcOO _ 110000 ___ 0.9031 ____ 75:0- 18 5.*80 182.10IC 866.40 70 05 0.4250 05 0.,425D) 05 0. 4 -3lf8 D0 05 00713007~~~~~1.9150 0.r50'07 t)000 _ 8.000 __ 610000 __ 6.000_____ 071 0~C,. S0 3 1 0C.7 7 82 0.7782.40 190.*50 144-8.10 1118. 90 _ __ 9 D 0:5 — 0.4 37 D0 050C.454-D 05 0.452.0 05 5 0. ____ 1600. ___ 16000 ___ 6 0____ 000 6.000 6.000 6.000o 782 ___ 0.7782 _ 0.T778 2 __ 0.7782__ 7Too 106.70 108.30 108740~~ 30 05 0.454D 05 0.4540 05 0.4540 05 ___

3Z Table 1 RUPTURE-TEST DATA FOR SANDVIK SANICRO 31 TUBING Estimated Spec. No. 34 20 25 26 1 41 21 31 28 3 4 19 18 17 33 Test Temp., (~F) 1400 1400 1400 1400 1400 1400 1450 1450 1450 1450 1450 1450 1500 1500 1500 Stress (psi) 12, 000 12, 000 12, 000 10, 000 10, 000 10, 000 10, 000 10, 000 10, 000 8, 000 8, 000 8, 000 10, 000 10, 000 10, 000 8, 000 8, 000 8,000 6, 000 6,000 6, 000 8, 000 8, 000 8, 000 6,000 6, 000 6, 000 6, 000 6,000 6, 000 Approximate Rupture Time (hours) 250 250 250 660 660 660 200 200 200 660 660 660 60 60 60 200 200 200 900 900 900 60 60 60 300 300 300 80 80 80 Rupture Time (hours) 122. 0 162. 1 171.8 521.7 543.4 566.4 182. 1 185.8 226. 5 755. 2 748. 2 866.4 27. 7 31.6 54, 2 190.5 210.5 251.4 1118.9 1199.1 1448. 1 67.4 74. 2.76. 0 317.6 336. 3 357. 0 106.7 108. 3 108.4 Elong. (%) 50. 5 51 50 34 37. 5 44 71 26* 50. 5 43. 5 38. 5 37. 5 53 51.5 49. 5 36. 5* 66 50 26. 5 31. 5 29 41.5 47. 5 34 30 29 36 43.5 39 34 R. A. (%) 61'. 5 54.5 66 27.5 45. 5 44. 5 50 38.5* 54. 5 38 38. 5 38. 2 55. 5 56. 5 48. 5 45* 43 45 34 30 27 43 45 36 32.5 36. 5 35.5 31.5 34. 5 31.5 16 23 27 1500 1500 1500 9 40 2 1500 1500 1500 7 29 30 1550 1550 1550 22 15 35 24 12 10 1550 1550 1550 1600 1600 1600 F~ractured at tthe end of the gage length.

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