Appendix A T able A-1. Failure Risk Data Failure risk for each cycle Mean value: m m – 1.65s m + 1.65s Without in-service inspection
1.57E-09 1.27E-09 1.93E-09 With in-service inspection
1.13E-09 8.36E-10 1.53E-09 Note 1: All results in the “m-1.65s and m+1.65s” range are considered acceptable for both conditions. A graphical representation is shown in figure A-12.
Note 2: This range defines the interval, centered on the mean value, covering 90 percent of the result population, assuming a log-normal distribution.
A-9
p R1 R2 L ◄ ► _,_ __ .....__ _______ RING R1 R2 L p 0 w w c..
Cf)
0.425M
0.3M
0.1 M
0.50 MPs 6800 RPM - - - - - - - - - - - -
(16.73 IN.)
{11 .81 IN.)
(3.94 IN.)
{7.25 KSI) 4/17/23 AC 33.70-3 Appendix A Figure A-3. Geometry Figure A-4. Room Temperature Test Cycle A-10
+- RIM --+ 400.0 MPa (58 (ksi)
434.4 MPa (63 ksi)
468.9 MPa (68 ksi)
503.4 MPa (73 ksi)
537.9 MPa (78 ksi) +- BORE --+ 572.4 MPa (83 ksi) Component·Stress ·:Model ➔ Str,ess · Volnm eDefinition1 r l rum in(05 ~ amoo Sdn l ;2 ➔ 10 f ~ I.S ~ ~ ,.....,..,- -.........
/ u ~ 12 Ill l2J 4 ➔ - Further break ,up of I the high stress/I.ow ;-t ll. 113 +- 21 llife z:ones performed I L_ b/ to reach ~j conve rgenoe 6 ➔ U.l 1 J " I~:'. I ii, ~,., ..,, ➔ 1-..-.,., S ➔ +- 24 '"' l6 4/17/23 AC 33.70-3 Appendix A Figure A-5. Component Stress Model and Component Principal Stress Contour Plot Figure A-6. Component Stress Model/Stress Volume Definition A-11
Appendix A T able A-2. Zone Volume Data Zone Number Volume, cm3 Volume, in3 1 0.69 0.042 2 18.8 1.15 3 34.9 2.13 4 29.2 1.78 5 24.2 1.48 6 20.1 1.23 7 16.1 0.98 8 0.49 0.030 9 134.37 8.20 10 3675.5 224.29 11 6809.8 415.56
12.1 144.48 8.81
12.2 5403.46 329.68
12.3 144.48 8.81
13.1 119.95 7.32
13.2 4488.2 273.84
13.3 119.95 7.32
14.1 99.58 6.08
14.2 3724.1 227.22
14.3 99.58 6.08
15.1 79.82 4.87
15.2a 1958.8 119.51
15.2b 324.02 19.77
15.2c 459.58 28.04
15.2d 182.75 11.15
15.2e 91.13 5.56
15.3 79.82 4.87 16 94.90 5.79 17 0.69 0.042 18 18.8 1.15 19 34.9 2.13 20 29.2 1.78 21 24.2 1.48 22 20.1 1.23 23 16.1 0.98 24 0.49 0.030 A-12
Appendix A WIDTH = 0.1 M (3.94 IN.)
1 ZONE 17 ZONE 10• ZONE 22 WIDTH = 0.0376 M (1.48 IN.) OFFSET = 0.1125 M (4.43 IN.)
THICKNESS = 0.1 M (3.94 IN.) WIDTH = 0.1 M (3.94 IN.)
Figure A-7. Zone Crack Location A-13
._.....n...,._...._...,.no .. ..,...111,.,._ ....
-· -· I l - ■ -G I i I " , .•
REMAINING LIFE DATA ~voLUMENO .
CYCLES 80 70 60 cil 50 ~ en 40 en 30 w er t;; 20 10 2 TIME 4/17/23 AC 33.70-3 Appendix A Figure A-8. Crack Growth Calculation A-14
Appendix A Anomaly Distribution Remaining Life Data Volume Data REMAINING LIFE DATA Volume Data VOLUME NO.
CYCLES Service Life CALCULATOR RISK Events/Cycle = 1.9E-9 Figure A-9. Overall Probabilistic Assessment Process - No In-Service Inspection A-15
r I Anomaly Distribution I r· I IY• I I ••• -- -
- - -. - ~~-. -- ~-- i "--::- - _ ,_ _, _ ''-
- II - Service Life I Ultrasonic lnsp. POD I "' T T TTTTT
• r + +++H- ,.
~ .. I ., I I I 1111' 1 I , 1 1 I ) .. ..
• '" , .... ANOMMYAAEACmlll"'2) .....
I Remaining Life Data I
REMAINING LIFE DATA ''" cYC<.£S RISK CULA' l- I JI I Volume Data Vo,11,1me o.t, I I I Events/Cyc le = 1.4E-9 4/17/23 AC 33.70-3 Appendix A Figure A-10. Overall Probabilistic Assessment Process – With In-Service Inspection A-16
1.0E+Ol ~ ,Q .2 ~ ·O ,O.
.z l.OE+OO ·O :i :i '" UII ,O.
-lu.l ·U :~ ,Q lu.l lu.l -0 l5 l .OE-01 "-..
1.0E-02
1.E+02 ' ..... .....
" '- ' I" Figure A-11. Hard Alpha, Ano maly Distribution for Test Case i\ ~ ' I'\.
'I.
\.
\ \ \ .
~
l.
'\ \.
' I'\. "r-,... r-,... ...
......
... ~
1.E+03 1.E+04 1.E+05 !LE+06 DEFECT AREA (SQ 1M IILS) 4/17/23 AC 33.70-3 Appendix A Figure A-11. Hard Alpha Anomaly Distribution for Test Case A-17
Appendix A Table A-3. Tabular Data – Anom aly Distribution Curves for Test Case (Figure A-11) Area Sq.
mils Anomaly Distribution For Test Case Exceedance /Million lbs.
Area Sq.
mils Anomaly Distribution For Test Case Exceedance /Million lbs.
Area Sq.
mils Anomaly Distribution For Test Case Exceedance /Million lbs.
3.9 5.91E+01 26.7 1.63E+01 181 3.72E+00
4.2 5.70E+01 28.3 1.56E+01 192 3.54E+00
4.4 5.49E+01 29.9 1.50E+01 203 3.37E+00
4.7 5.29E+01 31.7 1.44E+01 215 3.20E+00
4.9 5.10E+01 33.5 1.39E+01 227 3.04E+00
5.2 4.91E+01 35.4 1.33E+01 240 2.88E+00
5.5 4.73E+01 37.5 1.28E+01 254 2.73E+00
5.8 4.56E+01 39.7 1.23E+01 269 2.58E+00
6.2 4.39E+01 42.0 1.18E+01 284 2.44E+00
6.5 4.23E+01 44.4 1.13E+01 301 2.31E+00
6.9 4.07E+01 46.9 1.09E+01 318 2.18E+00
7.3 3.92E+01 49.7 1.04E+01 337 2.06E+00
7.7 3.78E+01 52.5 1.00E+01 356 1.94E+00
8.2 3.64E+01 55.6 9.60E+00 377 1.83E+00
8.7 3.51E+01 58.8 9.21E+00 399 1.72E+00
9.2 3.38E+01 62.2 8.83E+00 422 1.61E+00
9.7 3.25E+01 65.8 8.46E+00 446 1.51E+00
10.3 3.13E+01 69.6 8.11E+00 472 1.41E+00
10.9 3.01E+01 73.7 7.77E+00 499 1.32E+00
11.5 2.90E+01 77.9 7.44E+00 528 1.23E+00
12.2 2.79E+01 82.4 7.13E+00 559 1.15E+00
12.9 2.69E+01 87.2 6.82E+00 591 1.07E+00
13.6
2.59E+01 92.3 6.53E+00 626 9.91E-01
14.4 2.49E+01 97.6 6.24E+00 662 9.18E-01
15.2 2.40E+01 103 5.97E+00 700 8.48E-01
16.1 2.31E+01 109 5.71E+00 741 7.82E-01
17.0 2.22E+01 116 5.45E+00 784 7.19E-01
18.0 2.14E+01 122 5.21E+00 829 6.60E-01
19.1 2.06E+01 129 4.97E+00 877 6.03E-01
20.2 1.98E+01 137 4.74E+00 928 5.50E-01
21.3 1.90E+01 145 4.52E+00 981 5.00E-01
22.6 1.83E+01 153 4.31E+00 1038 4.54E-01
23.9 1.76E+01 162 4.11E+00 1098 4.10E-01
25.3 1.69E+01 171 3.91E+00 1162 3.69E-01 A-18
Appendix A Area Sq.
mils Anomaly Distribution For Test Case Exceedance /Million lbs.
Area Sq.
mils Anomaly Distribution For Test Case Exceedance /Million lbs.
Area Sq.
mils Anomaly Distribution For Test Case Exceedance /Million lbs.
1229 3.31E-01 5621 2.29E-02 25698 8.57E-03 1300 2.95E-01 5946 2.21E-02 27186 8.27E-03 1376 2.63E-01 6290 2.13E-02 28760 7.97E-03 1455 2.33E-01 6655 2.06E-02 30426 7.68E-03 1540 2.05E-01 7040 1.98E-02 32188 7.40E-03 1629 1.80E-01 7448 1.91E-02 34052 7.14E-03 1723 1.58E-01 7879 1.84E-02 36024 6.88E-03 1823 1.38E-01 8335 1.78E-02 38110 6.63E-03 1929 1.20E-01 8818 1.72E-02 40317 6.39E-03 2040 1.04E-01 9329 1.65E-02 42652 6.16E-03 2158 9.00E-02 9869 1.60E-02 45121 5.94E-03 2283 7.80E-02 10440 1.54E-02 47734 5.72E-03 2416 6.77E-02 11045 1.48E-02 50499 5.51E-03 2556 5.89E-02 11685 1.43E-02 53423 5.31E-03 2704 5.16E-02 12361 1.38E-02 56517 5.12E-03 2860 4.56E-02 13077 1.33E-02 59790 4.93E-03 3026 4.07E-02 13834 1.28E-02 63252 4.75E-03 3201 3.68E-02 14636 1.24E-02 66915 4.58E-03 3386 3.38E-02 15483 1.19E-02 70790 4.41E-03 3583 3.15E-02 16380 1.15E-02 74890 4.25E-03 3790 2.98E-02 17328 1.11E-02 79227 4.10E-03 4009 2.85E-02 18332 1.07E-02 83815 3.95E-03 4242 2.75E-02 19393 1.03E-02 88668 3.80E-03 4487 2.65E-02 20516 9.93E-03 93803 3.66E-03 4747 2.56E-02 21704 9.57E-03 99235 3.53E-03 5022 2.47E-02 22961 9.23E-03 ---- ---- 5313 2.38E-02 24291 8.89E-03 ---- ---- A-19
z ~ 0 z ::, ..
<II <II ::,
TOTAL FAILURE RISK WITHOUT INSPECTION MEAN VALUE m=1.57E-09 ~ m -1.65 s = 1.27E-09 m + 1.65 s = 1.93E-09
1.0E..10 1.0E..09 . 1.0E..08
FAILURE RISK PER CYCLE
TOTAL FAILURE RISK WITH IN-SERVICE INSPECTION MEAN VALUE m=1.13E-09 m -1.65 s = 8.36E-10 m + 1.65 s = 1.53E-09
1.oe.10 1.0E-09 1.0E-08
FAILURE RISK PER CYCLE 4/17/23 AC 33.70-3 Appendix A Figure A-12. Results A-20